Answers
With the help of subtraction we can say that the answer is =21/15
What is subtraction?The process of subtracting one number from another is called subtraction. The way to calculate the difference between two numbers is by using the basic arithmetic operation of subtraction, which is represented by the symbol (-).The operation of subtraction is used to calculate the difference between two numbers. If you remove a few items from a collection of things, the group will get smaller.Acc to the question-
32/15 - 11/15as the denominator is same21/15more simplifying we get = 1.4Hence,The answer is = 21/15
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Answer:
21/15
Step-by-step explanation:
Given problem,
→ (32/15) - (11/15)
Let's solve the given problem,
→ (32/15) - (11/15)
→ (32 - 11)/15
→ 21/15
Hence, the answer is 21/15.
Related Questions
please help me please if some one answers my question next i will post 100 points free if some one answers this question please
Answers
Answer:
Step-by-step explanation:
a) the points (0,60) and (6.0) are the intercept points for the graph of the car slowing down ( accelerating in the opposite direction than it's traveling)
we already know the slope of the line b/c that the rate at which it's slowing .. -10 =m which is the slope of the line .. down 10
use the point-slope formula y-y1 = m(x-x1) and plug in either given point for (x1,y1)
b) y -60 = -10(x-0)
y= -10x+60
thats the slope-intercept form of the equation
Answer:
\((0,60) = = > the \: vertical \: displacement \: of \: the \: automobile (y-intercept) \\ (6,0) = = > the \: horizontal \: displacement \: of \: the \: automobile (x-intercept) \\ equation \\ y = mx + c \\note = > m = \frac{(0 - 60)}{(6 - 0)} \\ m = - 10 \\ consider \: point \: (6,0) \\ from \: y = mx + c \\ substitute \: for \: y \: and \: x \\ 0 = (m)(6) + c \\ 0 = ( - 10 \times 6) + c \\ 0 = - 60 + c \\ c = 60 \\ substitute \: for \: c \: in \: y = mx + c \\ y = - 10x +60 \\ 10y = - x + 6\)
Calculate the side lengths a and b to two decimal places
Answers
Answer:
E
Step-by-step explanation:
using the Sine rule in Δ ABC
\(\frac{a}{sinA}\) = \(\frac{b}{sinB}\) = \(\frac{c}{sinC}\)
where a is the side opposite ∠ A , b opposite ∠ B , c opposite ∠ C
we require to calculate ∠ C
∠ C = 180° - (64 + 85)° = 180° - 149° = 31°
then to find a , using
\(\frac{a}{sinA}\) = \(\frac{c}{sinC}\)
\(\frac{a}{sin64}\) = \(\frac{9.3}{sin31}\) ( cross- multiply )
a × sin31° = 9.3 × sin64° ( divide both sides by sin31° )
a = \(\frac{9.3sin64}{sin31}\) ≈ 16.23 ( to 2 decimal places )
then to find b , using
\(\frac{b}{sinB}\) = \(\frac{c}{sinC}\)
\(\frac{b}{sin85}\) = \(\frac{9.3}{sin31}\) ( cross- multiply )
b × sin31° = 9.3 × sin85° ( divide both sides by sin31° )
b = \(\frac{9.3sin85}{sin31}\) ≈ 17.99 ( to 2 decimal places )
Which fraction is represented by point A on the number line?
Answers
The fraction represented by point A, it is crucial to have information about the scale, intervals, and the relative position of point A on the number line.
With these details, you can calculate the fraction accurately.
Point A on the number line represents a fraction that requires additional information to determine its precise value.
I can provide you with a general approach to finding the fraction corresponding to a given point on the number line.
A number line represents a range of values, typically with a specific scale or interval.
The scale can be divided into equal parts, such as units or fractions.
To determine the fraction represented by point A, we need to know the scale and the position of point A relative to that scale.
Let's consider a number line that ranges from 0 to 1, with evenly spaced tick marks representing tenths.
If point A is located halfway between the tick marks representing 0.4 and 0.5, then it represents the fraction 0.45 (or 9/20 in simplified form).
If the number line has a different scale or is divided into different intervals, the fraction represented by point A will be different.
Without specific details about the number line and the position of point A, it is impossible to determine the fraction precisely.
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27. Let logb2 = x, logb3 = y and log,5 = z.
(a) What is the value of log,50 in terms of x, y and z?
(b) What is the value of log,3000 in terms of x, y and z?
Answers
To solve these logarithmic expressions in terms of x, y, and z, we can use logarithmic rules and properties.
A. To find the value of log base b of 50 in terms of x, y, and z, we can use the change of base formula. Using base 10 for the logarithm, we have:
log base b of 50 = log base 10 of 50 / log base 10 of b
Since log base b of 2 is x, we can rewrite log base 10 of b as log base 10 of 2 to the power of x:
log base b of 50 = log base 10 of 50 / log base 10 of 2^x
Applying the logarithmic rules, we can express 50 as a product of powers:
log base b of 50 = log base 10 of (2^x * 5^2) / log base 10 of 2^x
Using the properties of logarithms, we can split this expression:
log base b of 50 = (log base 10 of 2^x + log base 10 of 5^2) / log base 10 of 2^x
Since log base b of 3 is y and log base b of 5 is z, we can substitute these values into the equation:
log base b of 50 = (log base 10 of 2^x + 2 * log base 10 of 5) / log base 10 of 2^x
Finally, using the values x, y, and z:
log base b of 50 = (x + 2z) / x
Therefore, the value of log base b of 50 in terms of x, y, and z is (x + 2z) / x.
B. To find the value of log base b of 3000 in terms of x, y, and z, we follow a similar approach:
log base b of 3000 = log base 10 of 3000 / log base 10 of b
Using the change of base formula with base 10:
log base b of 3000 = log base 10 of 3000 / log base 10 of 2^x
Since log base b of 3 is y, we can rewrite log base 10 of b as log base 10 of 3 to the power of y:
log base b of 3000 = log base 10 of 3000 / log base 10 of 2^x * 3^y
Expressing 3000 as a product of powers:
log base b of 3000 = log base 10 of (2^x * 3^y * 5^3) / log base 10 of 2^x * 3^y
Splitting the logarithmic expression:
log base b of 3000 = (log base 10 of 2^x + log base 10 of 3^y + log base 10 of 5^3) / log base 10 of 2^x * 3^y
Substituting the given values:
log base b of 3000 = (x + y + 3z) / (x + y)
Therefore, the value of log base b of 3000 in terms of x, y, and z is (x + y + 3z) / (x + y).
Which expression is equivalent to (73)5 • 74 ?
Select each correct answer.
Question 3 options:
73 • 5 + 4
73 + 5 + 4
73 + 5 • 74
73 • 5 • 74
Answers
The correct answer is D. 73 • 5 • 74
Explanation:
In mathematics, multiplication can be represented by using the symbol × or the symbol ·. Moreover, multiplication can be also represented just by leaving the numbers or values side by side without any symbol. For example, the expression 5x + y implies 5 should be multiplied by x. In this context, the expression (73)5 • 74 indicates 5 should be multiplied by 74, and the result of this should be multiplied by 73 as the lack of symbol indicates multiplication. Therefore, this is equivalent to 73 • 5 • 74.
Answer:
D
Step-by-step explanation:
Please help me with this rectangle problem they always give me trouble
Answers
Hello there. To solve this question, we'll have to remember some properties about rectangles.
A rectangle is a quadrilateral polygon (that is, it has 4 right angles in its corners) and two parallel sides.
The special cases of quadrilaterals are the parallelogram, that has two parallel sides but the angles might not be right angles and the square, in which the sides are equal.
In the case of the rectangle, it has a side with length L and other side, that we call its width, with length W, as in the following drawing:
Its area A can be calculated taking the product between the length and the width, therefore:
\(A=L\cdot W\)With this, we can solve this question.
It says that a rectangle is 15 ft longer than it is wide. Its area is 2700 ft². We have to determine its dimensions.
Say this rectangle has width W.
If this rectangle is 15 ft longer than it is wide, it means that
\(L=15+W\)Now, we plug this values for the formula of area, knowing that A = 2700:
\(\begin{gathered} A=L\cdot W=(15+W)\cdot W \\ \end{gathered}\)Apply the FOIL
\(2700=15W+W^2\)In this case, we have a quadratic equation in W.
We'll solve it by completing the square, that is, finding a perfect trinomial square such that we can undo the binomial expansion and solve a simpler quadratic equation.
The binomial expansion (a + b)² gives us
\(a^2+2ab+b^2\)So to find the b we need to complete the square, we start dividing the middle term by 2.
In the case of our equation, the middle term has coefficient 15, hence
\(b=\dfrac{15}{2}\)Square the number and add it on both sides of the equation, such that
\(\begin{gathered} 2700+\left(\dfrac{15}{2}\right)^2=\left(\dfrac{15}{2}\right)^2+2\cdot\dfrac{15}{2}\cdot W+W^2 \\ \\ 2700+\dfrac{225}{4}=\dfrac{11025}{4}=\left(W+\dfrac{15}{2}\right)^2 \end{gathered}\)Take the square root on both sides of the equation, knowing that 11025 = 105²
\(W+\dfrac{15}{2}=\sqrt{\dfrac{11025}{4}}=\sqrt{\left(\dfrac{105}{2}\right)^2}=\dfrac{105}{2}\)Subtract 15/2 on both sides of the equation
\(W=\dfrac{105}{2}-\dfrac{15}{2}=\dfrac{105-15}{2}=\dfrac{90}{2}=45\)Then we plug this value in the expression for L, hence we get:
\(L=15+W=15+45=60\)Notice that multiplying the numbers, we'll get:
\(L\cdot W=60\cdot45=2700\)That is exactly the area we had before.
Hence we say that its width equals 45 ft and its length equals 60 ft.
consider the verizon data. find a 95% ci for the ratio of medians. estimate the percent bias (relative to the standard error) and compare with the results for the ratio of means
Answers
95% confidence interval for the ratio of medians is a range of values that we are confident contains the true population ratio, with a specified level of confidence.
A confidence interval is a range of values that we are confident contains the true population parameter, with a specified level of confidence. In this case, we are looking at the ratio of medians in the Verizon data and finding a 95% confidence interval for the ratio.
Let's say the sample median for the first data set is M1 and the sample median for the second data set is M2. The standard error for M1 and M2 can be calculated using the formula for the standard error of the median.
Next, we use the formula for a confidence interval for the ratio of medians:
=> (M1/M2) +/- (Z * SE(M1/M2)),
where Z is the critical value from a standard normal distribution for a 95% confidence level.
The percent bias is the difference between the estimated value and the true value, divided by the true value and expressed as a percentage. In this case, we will calculate the percent bias of the confidence interval for the ratio of medians relative to the standard error.
Finally, we compare the results for the ratio of medians with the results for the ratio of means. This comparison can give us an idea of the difference in the level of accuracy and precision between the two estimates.
Complete Question:
Consider the Verizon data. find a 95% confidence interval for the ratio of medians. estimate the percent bias (relative to the standard error) and compare with the results for the ratio of means
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can anyone help me im in 6th grade i need answers
Answers
8th grader here, what do you need help with?
Lunch break: In a recent survey of 655 working Americans ages 25-34, the average weekly amount spent on lunch was $43.5
with standard deviation $2.77. The weekly amounts are approximately bell-shaped.
Part 1 of 3
(a) Estimate the percentage of amounts that are between $35.26 and $51.88.
Almost all
of the amounts fall between $35.26 and $51.88.
Part 2 of 3
(b) Estimate the percentage of amounts that are between $38.03 and $49.11.
Approximately 95%
of the amounts fall between $38.03 and $49.11.
Part: 2/3
Part 3 of 3
(c) Between what two values will approximately 68% of the amounts be?
Approximately 68% of the amounts fall between
and S
Answers
Using the Empirical Rule, it is found that:
a) Approximately 99.7% of the amounts are between $35.26 and $51.88.b) Approximately 95% of the amounts are between $38.03 and $49.11.c) Approximately 68% of the amounts fall between $40.73 and $46.27.------------
The Empirical Rule states that, in a bell-shaped distribution:
Approximately 68% of the measures are within 1 standard deviation of the mean. Approximately 95% of the measures are within 2 standard deviations of the mean. Approximately 99.7% of the measures are within 3 standard deviations of the mean.-----------
Item a:
\(43.5 - 3(2.77) = 35.26\)
\(43.5 + 3(2.77) = 51.88\)
Within 3 standard deviations of the mean, thus, approximately 99.7%.
-----------
Item b:
\(43.5 - 2(2.77) = 38.03\)
\(43.5 + 2(2.77) = 49.11\)
Within 2 standard deviations of the mean, thus, approximately 95%.
-----------
Item c:
68% is within 1 standard deviation of the mean, so:\(43.5 - 2.77 = 40.73\)
\(43.5 + 2.77 = 46.27\)
Approximately 68% of the amounts fall between $40.73 and $46.27.
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It is often used for predicting results in statistics. This rule could be used as an estimate of the consequence of upcoming data to also be collected but also analyzed after determining a confidence interval and before accumulating precise data.
In a clock-shaped distribution, the empirical rule states:
About \(\bold{68\%}\) of the measures are within 1 standard deviation of the mean.About \(\bold{95\%}\) of the measurements are within 2 standard deviations.About \(\bold{99.7\%}\) of the measures are subject to 3 standard deviations.Point a:
\(\to \bold{43.5-3(2.77)= 43.5-8.31= 35.26}\\\\\to \bold{43.5+3(2.77)=43.5+8.31= 51.88}\)
Therefore, approximately \(\bold{99.7\%}\) within 3 standard deviations from the mean.
Point b:
\(\to \bold{43.5-2(2.77)= 43.5-5.54= 38.03}\\\\\to \bold{43.5+2(2.77)= 43.5+ 5.54= 49.11}\\\\\)
Therefore, approximately \(\bold{95\%}\) in 2 standard deviations from the mean.
Point c:
In 1 standard deviation of the mean, \(\bold{68\%}\)is as follows:
\(\to \bold{43.5-2.77= 40.73}\\\\\to \bold{43.5+2.77= 46.27}\)
About \(\bold{68\%}\) of the sums decrease from \(\bold{\$40.73 \ and \ \$46.27}\).
So, the final answer are:
The amount between \(\bold{\$35.26 \ and\ \$51.88}\) makes up approximately \(\bold{99.7\%}\) of the amounts.The amount among \(\bold{\$ 38.03\ and\ \$49.11}\) bills amounts to approximately \(\bold{95\%}.\)About \(\bold{68\%}\) of the amounts are \(\bold{\$40.73 \ and \ \$46.27}\).Learn more:
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what's the answer for. Solve for the variable. Round your answer to the nearest hundredth. -8p-9=8-5p-9
Answers
-8p-9=8-5p-9
-8p+5p=9-9+8
=3p=8
=3p÷3=8÷3
=p=2.6666
=p=2.67
What is the volume of this figure?
Enter your answer in the box.
yd³
Answers
The volume of the composite figure is
4095 cubic ydHow to find the volume of the composite figureThe volume is calculated by dividing the figure into simpler shapes. and adding the individual volumes
The simple shapes used here include
trapezoid andrectangleVolume of rectangle = length x width x depth
= 30 * 9 * 7
= 1890 cubic yd
Volume of trapezoid = 1/2 (sum of parallel lines) x height x depth
= 1/2 (30 + 19) x 10 x 9
= 2205 cubic yd
Total volume
= 1890 cubic yd + 2205 cubic yd
= 4095 cubic yd
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What is the value of R?
Answers
Answer:
B
Step-by-step explanation:
Subtract 150 from both sides
-5r ≥ -62.5
Divide both sides by -5
r ≤ 12.5
(The greater than sign flips around when you divide or multiply both sides by a negative number)
Which description is paired with its correct expression?
four less than the quotient of a number cubed and seven, increased by three; 4-2+3
five times the difference of a number squared and six; 5(6-n²)
nine more than the quotient of six and a number cubed, decreased by four; 8+²-4
9+
O twice the difference of nine and a number squared; 2(9-n²)
Answers
The correct pairings are:
a) Four less than the quotient of a number cubed and seven, increased by three: (n³/7) - 4 + 3
b) Five times the difference of a number squared and six: 5(n² - 6)
c) Nine more than the quotient of six and a number cubed, decreased by four: (6/n³) + 9 - 4
d) O twice the difference of nine and a number squared: 2(9 - n²)
The correct pairings of descriptions and expressions are as follows:
Four less than the quotient of a number cubed and seven, increased by three: (n³/7) - 4 + 3
This expression represents taking a number, cubing it, dividing the result by seven, subtracting four, and then adding three.
Five times the difference of a number squared and six: 5(n² - 6)
This expression represents taking a number, squaring it, subtracting six, and then multiplying the result by five.
Nine more than the quotient of six and a number cubed, decreased by four: (6/n³) + 9 - 4
This expression represents taking the cube of a number, dividing six by the cube, adding nine, and then subtracting four.
O twice the difference of nine and a number squared: 2(9 - n²)
This expression represents taking a number, squaring it, subtracting it from nine, and then multiplying the result by two.
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T is the midpoint of PQ. PT = (6x-3) and QT = (2x+5)
Answers
Answer:
Question 1091219: T is the midpoint of PQ PT=6x+5 a. Find the value of x. TQ=8x-6 b. Find PT, TQ, and PQ. Answer by greenestamps(7331) (Show Source): You can put this solution on YOUR website! If T is the midpoint of PQ, then PT = TQ.
Step-by-step explanation:
Answer:
PQ = 8x + 2
Step-by-step explanation:
Since, T is the midpoint of PQ.
Therefore,
PQ = PT + QT
= (6x - 3) + (2x + 5)
= 6x + 2x + 5-3
PQ = 8x + 2
if a coin is flipped 35 times and lands on heads 21 times what is the relative frequency of Landing on heads
Answers
Work Shown:
21/35 = (7*3)/(7*5) = 3/5
Find the mean of the following data set.
8, 5, 15, 12, 10
A. 12.5
B. 10
C. 14
D. 50
Answers
Answer:
10
Step-by-step explanation:
the sum of 8,5,15,12,10 is 50 and there are 5 numbers so 50 divided by 5 is 10 and it's mean is also 10
hope this helps !
√√96
√8
Ο 213
Ο 4
Ο 222
D. 12
Answers
Answer:
2sqr3, the first option
Step-by-step explanation:
A simple random sample of size n = 20 is obtained from a population with population mean 64 and population standard deviation 17.
(a) What must be true regarding the distribution of the population in order to use the
normal model to compute probabilities involving the sample mean? Assuming that
the condition is true, describe the sampling distribution of sample mean.
(b) Find P(x < 67.3).
(c) Find P(x > 65.2).
Answers
Answer:
Kindly check explanation
0.57691
0.4719
Step-by-step explanation
A.) The distribution of sample means must follow a normal distribution ;
Mean = 64 ; Standard deviation = 17 ;
Standard Error = s/sqrt(n) = 17 / sqrt(20) = 3.8013155
N(64 ~ 17)
Given that:
mean (m) = 64
Sample size (n) = 20
Standard deviation (s) = 17
Find
P(x < 67.3)
Z = (x - m) / s
Zscore = (67.3 - 64) / 17
Zscore = 0.1941176
P(Z < 0.194) = 0.57691 (Z probability calculator)
(c) Find P(x > 65.2).
Zscore = (65.2 - 64) / 17
Zscore = 0.0705882
P(Z > 0.0705) = 0.4719 (Z probability calculator)
I have to write a proof
Answers
Please help me, I will give brainliest, I am struggling badly.
Answers
Answer:
Slope Number 1 is Harry.
Step-by-step explanation:
y = -1/2 + 30
-1 being one less exercise to complete
2 being the 2 minutes spent on each exercise
and 30 being the number of exercises
Gravel is being dumped from a conveyor belt at a rate of 40 ft3/min, and its coarseness is such that it forms a pile in the shape of a cone whose base diameter and height are always equal. How fast (in ft/min) is the height of the pile increasing when the pile is 6 ft high? (Round your answer to two decimal places.)
Answers
The height of the pile increasing when the pile is 6 ft high is 1.41ft/min (approx.)
Define Volume of cone?
A pyramid having a circular cross section is called a cone. A right cone is a cone with the vertex located above the base's middle. Right circular cone is another name for it. If you know the height and radius of a cone and plug those values into a formula, you can quickly get the volume of a cone. Formula is , V = 1/3 πr²h
We have, dV/dt = 40 ft³/min
h = diameter where, h = 2r
so r = 1/2h
The formula for regular circular cone is,
V = 1/3 πr²h
put the value of r,
V = 1/ 3 * π * (1/2h)² * h
= 1/12 * π * h³
differentiate it, we get
dV/dt = 3/12 * π * h² * dh/dt
dh/dt = (dV/dt)/(3/12*π*h²)
we have, dV/dt = 40 ft³/min and h = 6
Put these values,
dh/dt = 40 / (3/12 * 22/7 * 6²) (∵ π = 22/7)
After solving, we get
dh/dt = 1.41 ft/min
Therefore, The height of the pile increasing when the pile is 6 ft high is 1.41ft/min (approx.)
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206) A recipe for cupcakes calls for 3-
3
10
200
7
sugar. Julio accidentally put in 4-
10
How many extra cups did he put in?
cups of
cups.
Answers
Julio accidentally put in an extra 1/10 cup of sugar.
To calculate the number of extra cups of sugar that Julio put in, we need to find the difference between what the recipe called for (3/10 cups) and what he actually added (4/10 cups).
The difference can be calculated as follows:
Actual amount - Required amount = Extra amount
= 4/10 - 3/10
= 1/10
Therefore, Julio accidentally put in an extra 1/10 cup of sugar.
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Select the table representing a linear function. (Graph them if necessary.)
Answers
Check the picture below.
So I tried solving this problem with the population growth formula,
· Population Growth: =^; a=initial amount, r=growth rate as a decimal; t=time in years; y=resulting population
My equation looked like this but I got this question wrong so any help will be appreciated
9667=11211e^(.418)(t)
Answers
The number of years it would take is approximately equal to 53 years.
How to determine the population after a number of year?In Mathematics, a population that increases at a specific period of time represent an exponential growth. This ultimately implies that, a mathematical model for any population that increases by r percent per unit of time is an exponential function of this form:
P(t) = I(1 + r)^t
Where:
P(t ) represent the population.t represent the time or number of years.I represent the initial number of persons.r represent the exponential growth rate.By substituting given parameters, we have the following:
96627 = 11211(1 + 0.0418)^t
8.61894567835 = (1.0418)^t
By taking the ln of both sides, we have:
Time, t = ln(8.61894567835)/ln(1.0418)
Time, t = 52.60 ≈ 53 years.
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if y is directly porportional to x^2 and the difference in the values of y when x=1 and x=3 is 32, find the value of y when x=-2
Answers
Answer:
Step-by-step explanation:
y=kx²
y₁=k(1)²=k
y₃=k(3)²=9k
y₁-y₃=k-9k=32
-8k=32
k=-4
y=-4x²
y₋₂=-4(-2)²=-16
Evaluate 2/g + 2h + 5 when g=3 and h=6
Answers
Answer:
17 2/3
Step-by-step explanation:
2/g + 2h + 5 when g = 3 and h = 6
~Substitute
2/3 + 2(6) + 5
~Simplify
2/3 + 12 + 5
~Add
12 2/3 + 5
~Add
17 2/3
Best of Luck!
If 4 out of 21 people prefer diet soda to regular soda, about how many regular sodas should be bought to serve 864 people, if each person
receives one soda?
Answers
~700 regular sodas to server 864 people
(the actual answer is 699.4285)
The number of regular sodas that should be bought will be 700 regular sodas.
If out of 21 people prefer diet soda to regular soda, then it means that 17 people prefer regular soda.
Since the number of people are 864 people, then the number of regular sodas that'll be bought will be:
= 17/21 × 864
= 699.42
= 700 Approximately
Therefore, the number of regular sodas that should be bought will be 700 regular sodas.
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please help me answer this question thank you
Answers
Answer:
A
Step-by-step explanation:
A closet in Shivani's house is 2 yards by 1 yard. How much would it cost to put a new floor in the closet if the flooring costs $38.00 per square yard?
Answers
The amount it would cost to put a new floor in the closet is $76.00
Calculating how much it would cost to put a new floor in the closetFrom the question, we are to calculate how much it would cost to put a new floor in the closet
From the given information,
A closet in the house is 2 yards by 1 yard.
To determine how much it would cost to put a new floor in the closet,
First,
We calculate the area of the closet
Area of the closet = 2 yard × 1 yard
Area of the closet = 2 square yards
Now,
From the given information,
The flooring costs $38.00 per square yard
Thus,
The amount it would cost to put a new floor in the closet is
2 × $38.00
= $76.00
Hence,
The amount it would cost is $76.00
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could you please answer quickly?????!! thank you!
Answers
Answer:
31,5
Step-by-step explanation:
=7*3+(7*3)/2
Answer:
length x width = area
7 x 3 = 21 so the area of the rectangle is 21
divide 7 by 2 so we can find the length of each triangle. 7 / 2 = 3.5
length (or base) x height / 2 = area of triangle
3.5 x 3 = 10.5
You do not have to divide by two because there are two triangles
10.5 + 21 = 31.5 so the area is 31.5
Hope this helps
Step-by-step explanation: