Find the area of the following
triangle:
Heln Porum
5 cm
10 cm
A= [?] cm?
Enter the exact answer as a decimal.
Enter
![Find The Area Of The Followingtriangle:Heln Porum5 Cm10 CmA= [?] Cm?Enter The Exact Answer As A Decimal.Enter](https://i5t5.c14.e2-1.dev/h-images-qa/contents/attachments/GGHwsb7cFYXlRhBxSOja4OGExLNVvJUN.png)
Answers
Answer:
11.180339887498cm or 11.2cm
Step-by-step explanation:
Using pythagoras- a² + b² = c²
Therefore 5² + 10² = 125²
Root of 125 will be the answer
Answer:
The given triangle is right angled triangle, which means that
Area - \(\frac{1}{2}×base×height\)
\(\frac{1}{2}×5×10\) 5×5Area= 25cm²Related Questions
The ratio of red paint and blue paint in paint mixture is 3:4 . How much blue paint is needed to make 1400 ml of paint mixture
Answers
According to the information provided, 4.5 litres of red paint and 1400 ml of blue paint are required to manufacture the paint mixture.
Liter or litre—which is correct in India?Liter and litre are equivalent terms. Liter is favoured by American English, while Liter is utilized by all English-speaking nations inspired by Europe and British English Both red and blue colors have a 3:4 ratio, we require 3 litres of red paint for every 4 litres of blue paint, which implies that we need 3/4 litres of red paint for every litre of blue paint and 6 litres of blue paint for every litre of red paint.Red paint requires 3/4 x 6 = 9/2 = 4.5 litres.
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Find the slope of each line.
Answers
Answer:
Step-by-step explanation:
slope is rise over run or y over x
Let m be the slope
On this case, simply count the units for both x and y from tip to tip of the line segment
m = y/x
direction of the line is up and right so the sign is both positive
m = 4/1
m = 4
m = y/x
direction of the line is down and right so y is negative and x is positive
m = -3/4
PLS HELP ME
Using the digits 1 - 9, at most one time each, create an improper fraction and a mixed number that are equivalent.
Answers
The mixed fractions and improper fractions are 4 1/3 and 13/ 3
What are fractions?Fractions are part of a whole.
Types of fractions include;
Mixed fractions having both a whole number and a proper fractionSimple fractionsProper fractionsImproper fractions having the numerator greater than the denominatorThe numbers from 1 - 9 are: 1, 2 , 3, 4, 5, 6, 7, 8, 9
Mixed fraction = 2 1/3
Improper fraction = 7/3
Thus, the mixed fractions and improper fractions are 4 1/3 and 13/ 3
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using the line of best fit
Answers
The monthly cell phone bill when shared data equals zero is given as follows:
$26.
How to define a linear function?The slope-intercept representation of a linear function is given by the equation presented as follows:
y = mx + b
The coefficients of the function and their meaning are described as follows:
m is the slope of the function, representing the change in the output variable y when the input variable x is increased by one.b is the y-intercept of the function, which is the initial value of the function, i.e., the numeric value of the function when the input variable x assumes a value of 0. On a graph, it is the value of y when the graph of the function crosses the y-axis.The intercept of the line in this problem is given as follows:
b = 26.
Hence $26 is the monthly cell phone bill when shared data equals zero.
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Compute for the mean expenses of the XYZ Corporation given the following: Name Total Sales Total Expenses Quezon City 14,950.00 4,933.50 Caloocan City 18,290.00 6,035.70 Marikina City 37,200.00 12,276.00 Cebu City 18,900.00 6,237.00 Davao City 45,000.00 14,850.00 Mandaluyong City 23,000.00 7,590.00 Cavite 22,000.00 7,260.00 Laguna 21,000.00 6,930.00 Manila 66,000.00 21,780.00 Iloilo 34,000.00 11,220.00
Answers
The computed mean expenses of the XYZ Corporation based on the given information are 9,911.22.
What is the mean?The mean refers to the average value.
The mean is computed as the quotient that results from dividing the total value of the data set by the number of items in the set.
Name Total Sales Total Expenses
Quezon City 14,950.00 4,933.50
Caloocan City 18,290.00 6,035.70
Marikina City 37,200.00 12,276.00
Cebu City 18,900.00 6,237.00
Davao City 45,000.00 14,850.00
Mandaluyong City 23,000.00 7,590.00
Cavite 22,000.00 7,260.00
Laguna 21,000.00 6,930.00
Manila 66,000.00 21,780.00
Iloilo 34,000.00 11,220.00
Total 99,112.20
Mean Expenses = 9,911.22 (99,112.20 ÷ 10)
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Find the equation for the following parabola. Vertex(2,-1) focus(2,3)
Answers
Given that polygons ABCD is similar to KGHJ Set up a proportion and solve for X
Answers
Answer:
9
Step-by-step explanation:
3/16=x/48
cross multiply
16x=48*3
16x=144
x=9
Which polynomial is prime?
O 3x³ + 3x² - 2x - 2
O 3x³ − 2x² + 3x − 4
-
O
4x³ + 2x² + 6x + 3
O
4x³+4x²-3x - 3
Answers
Answer:
B
Step-by-step explanation:
a prime polynomial is one which does not factor into 2 binomials.
its only factors are 1 and itself
attempt to factorise the given polynomials
3x³ + 3x² - 2x - 2 ( factor the first/second and third/fourth terms )
= 3x²(x + 1) - 2(x + 1) ← factor out common factor (x + 1) from each term
= (x + 1)(3x² - 2) ← in factored form
--------------------------------------------------
3x³ - 2x² + 3x - 4 ( factor the first/second terms
= x²(3x - 2) + 3x - 4 ← 3x - 4 cannot be factored
thus this polynomial is prime
----------------------------------------------------
4x³ + 2x² + 6x + 3 ( factor first/second and third/fourth terms )
= 2x²(2x + 1) + 3(2x + 1) ← factor out common factor (2x + 1) from each term
= (2x + 1)(2x² + 3) ← in factored form
-------------------------------------------------
4x³ + 4x² - 3x - 3 ( factor first/second and third/fourth terms )
= 4x²(x + 1) - 3(x + 1) ← factor out common factor (x + 1) from each term
= (x + 1)(4x² - 3) ← in factored form
--------------------------------------------------
the only polynomial which does not factorise is
3x³ - 2x² + 3x - 4
Help, please
f(n)=3(n+2)^2 (n-3) (n-2)
As n -----> -oo, f(n)----> ?
As n ----->oo, f(n) ----->?
Answers
The end behavior of the function f(n) = 3(n + 2)²(n - 3)(n - 2) is given as follows:
As n -> -oo, f(n) -> oo.As n -> oo, f(n) -> +oo.What is the end behavior of a function?The end behavior of a function refers to how the function behaves as the input variable approaches positive or negative infinity.
The function for this problem is given as follows:
f(n) = 3(n + 2)²(n - 3)(n - 2).
Considering the degree, the function can be interpreted as follows:
\(3n^4\)
(for the limit when the input goes to infinity we consider only the term with the highest degree).
The leading coefficient is positive and the exponent is even, hence the end behavior is given as follows:
As n -> -oo, f(n) -> oo.As n -> oo, f(n) -> +oo.More can be learned about the end behavior of a function at brainly.com/question/1365136
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Use the coordinates of the labeled point to find a point-slope equation of the
line.
5
5
(-2,-5) 6.5
>
O A. y- 5 = -2(x - 2)
O B. y + 5 = 2(x + 2)
O C. y + 5 = -2(x + 2)
OD. y- 5 = 2(x - 2)
Answers
Answer:
B. \( y + 5 = 2(x + 2) \)
Step-by-step explanation:
Point-slope equation is given as \( y - b = m(x - a) \), where,
(a, b) = (-2, -5)
\( m = slope = \frac{y_2 - y_1}{x_2 - x_1} \)
Using two points on the line (-2, -5) and (0, -1),
Slope (m) = (-1 -(-5))/(0 -(-2)) = 4/2
m = 2
✔️To write the equation in point-slope form, substitute a = -2, b = -5, and m = 2 into \( y - b = m(x - a) \)
Thus:
\( y - (-5) = 2(x - (-2)) \)
\( y + 5 = 2(x + 2) \)
in a 6 x 4 grid (6 rows, 4 columns), 12 of the 24 squares are to be shaded so that there are two shaded squares in each row and three shaded squares in each column. let
Answers
As calculated from the data given , the number of ways in which we can perform the required selection is 1860 .
There are 20 ways to select the rows
( 6 ) = 20
( 3)
To get our final solution, we shall multiply whatever result we get by 20.
Consider the 3x3 adjacent to the three boxes we've filled in. We must place one ball in each row
We divided the cases into these categories:
All three balls are grouped together in the same column. In this scenario, there are three options for which column to select. The bottom part of the board is now secured.All three balls are grouped together in the same column. In this scenario, there are three options for which column to select. The bottom part of the board is now secured.Each of the three balls is in a separate column. Then there are three options for where the ball in column 2 goes and two options for where the ball in column 3 goes. Consider what happens in the bottom half of the board once more.Now that there are two balls in each row and column, each row and column in the ,3x3 .
However, there are six options. So there are a total of 36 possibilities.
So there are 20 x (3+54+36) = 1860 ways .
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3. What would you expect the relationship between the length of a baby at birth and
the month in which the baby was born to be?
A positive correlation
B negative correlation
C no correlation
Answers
5) A car has a wheelbase length of 270 centimeters. How many inches is that? Round to two places.
Answers
The length of the wheelbase of the car is 106.3 inches
The car has a wheelbase length of 270 centimetres
To convert centimeters to inches we have to divide the value by 2.54
= 270/2.54
= 106.3 inches
Hence the length of the wheelbase is 106.3 inches
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The ratio of the lengths of the sides of â–³ABC is 3:4:6. The perimeter of the triangle whose vertices are the midpoints of the sides of â–³ABC is 13 cm. What are the lengths of the sides of â–³ABC?
Answers
The length of the sides of triangle ABC are: 6, 8, and 12.
One of the conditions that two triangles are similar is their Three pairs of corresponding sides are proportional.
In the given problem, the ratio of the sides of triangle ABC is 3 : 4 : 6
Another triangle, let's say triangle DEF, is made with its vertices at midpoints of the sides of triangle ABC.
Hence, all three pairs of corresponding sides have the same proportion.
AB/DE = BC/EF = AC/DF = 1/2
Due to similarity, the ratio of the sides of triangle DEF is also 3 : 4 : 6.
ratio f sides : perimeter = 3 : 4 : 6 : 13
Since its perimeter is 13, it means that the length of sides of triangle DEF are: 3, 4, and 6
Length of the sides of triangle ABC = 2 x length of the sides of Δ DEF
Length of the sides of triangle ABC are: 6, 8, and 12.
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The volume of a rectangular prism is (x4 + 4x³ + 3x² + 8x + 4), and the area of its base is (x3 + 3x² + 8). If the volume of a rectangular prism is the product of its base area and height, what is the height of the prism? O X+1- Gere O X+1+ O X+1- 4 x4+4x³+3x²+8x+4 O X+1+ 4 X*+4x²+3x+8x+4 4 +³+3x²+8 4 +³+3x²+8
Answers
The Height of the given rectangular prism is: (x + 1) - 4/(x³ + 3x² + 8)
How to carry out polynomial division?In algebra, polynomial long division is defined as an algorithm used in dividing a polynomial by another particular polynomial of the same or even lower degree, which is a generalized version of the common arithmetic technique called long division. It can be done easily by hand, because it separates a supposedly complex division problem into smaller ones.
We are given:
Volume of a rectangular prism = (x⁴ + 4x³ + 3x² + 8x + 4), and the area of its base is (x³ + 3x² + 8)
Thus, height is:
x + 1
x³ + 3x² + 8|x⁴ + 4x³ + 3x² + 8x + 4
- x⁴ + 3x³ + 0 + 8x
x³ + 3x² + 4
- x³ + 3x² + 8
-4
Thus:
Height = (x + 1) - 4/(x³ + 3x² + 8)
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There are 9 players on a youth baseball team. To create the lineup, the coach chooses three players to play pitcher, catcher, and first base. How many ways can the coach choose these three positions?
Answers
Step-by-step explanation:
how many ways can the coach make out the batting order? 9! = 9 · 8 · 7 · 6 · 5 ·4 · 3 · 2 · 1 = 362,880 .
If rectangle ABCD ~ rectangle EFGH, and the area of ABCD is 64 cm^2 and the area of EFGH is 49 cm^2, what is the scale factor of ABCD to EFGH?
Answers
Answer:
7 / 8
Step-by-step explanation:
The scale factor between two-dimensional shapes is the ratio of one of their corresponding side lengths.
For example, to go from a square whose side lengths are 6 cm to one whose side lengths are 3 cm, the scale factor would be 1/2, since 3 cm / 6 cm = 1/2.
The ratio of the areas of similar rectangles is the (scale factor)², since the scale factor is multiplied by both sides of the triangle, and therefore, there are two instances of it in the area equation for the dilated shape.
For example, to go from a square whose area is 36 cm² to one whose side lengths are 9 cm², the scale factor would be 1/2, since 9 cm² / 36 cm² = (1/2)².
Applying this concept to the problem at hand:
(scale factor)² = (Area of ABCD) / (Area of EFGH)
↓ plugging in the given values
(scale factor)² = 49 cm² / 64 cm²
↓ take the square root of both sides
scale factor = \(\sqrt{49}\) / \(\sqrt{64}\)
↓ simplifying the square roots
scale factor = 7 / 8
Suppose you roll a die 5 times. What is the probability of getting at least one odd number ?
Answers
Answer: 1/2 or 50%
Step-by-step explanation:
A dice has 6 numbers; 1,2,3,4,5,6
3 of which are odd numbers
which means:
p(event)= number of favorable outcomes/ number of possible outcomes
p(odd)=3/6
3/6=1/2 or 50%
What are the scaled dimensions of a kitchen with dimensions 6.3m by 4.8, if the kitchen plan is drawn to a scale of 1:500?
Answers
The scaled dimensions of a kitchen with dimensions 6.3m by 4.8m, if the kitchen plan is drawn to a scale of 1:500, are given as follows:
1.26 cm and 0.96 cm.
How to obtain the scaled dimensions?The scaled dimensions are obtained applying the proportions in the context of the problem.
The scale is of 1:500, meaning that each dimension is divided by 500, as follows:
6.3 m: 6.3/500 = 0.0126 m = 1.26 cm.4.8 m: 4.8/500 = 0.0096 m = 0.96 cm.More can be learned about proportions at https://brainly.com/question/24372153
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hey please help im confused because of the /
Answers
Answer:
x = -12
Step-by-step explanation:
what is the difference of twice a number and 3 is 11
Answers
Answer:
2x - 3 = 11
x = -21
Step-by-step explanation:
HELP 30 POINTS AND I WILL GIVE YOU 5 STARS!!!!
Which of the following equations gives a function f(x) that satisfies
f(3) = 27?
a. f(x) = 5x + 12
b. f(x) = 2x + 12
c. f(x) = 5x - 12
d. f(x) = 5x + 2
e. f(x) = x + 2
Answers
Answer:
a. f(x) = 5x + 12
Step-by-step explanation:
a. f(3) = 5(3) + 12 = 15 + 12 = 27
If you replace 3 into x of the other equations, the result will not be 27
Answer:
a. f(x) = 5x + 12
Step-by-step explanation:
a. f(3) = 5(3) + 12 = 15 + 12 = 27
If you replace 3 into x of the other equations, the result will not be 27
Solve. Write the solution in interval notation.
Answers
The solution in interval notation is; (-∞, 49/2).
What is inequality?Inequality is defined as the relation which makes a non-equal comparison between two given functions.
To solve the equation 5/16x - 7/4 < 3/4x + 21/2, we can simplify both sides:
5/16x - 7/4 < 3/4x + 21/2
Combining like terms:
5/16x -3/4x < 21/2 + 7/4
8/16x < 49/4
1/2x < 49/4
Simplifying the fraction;
x < 49/2
Therefore, the solution in interval notation is (-∞, 49/2).
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(p+m)3 use m=-2, p=3
Answers
Answer:
3
Step-by-step explanation:
In this case, (p +m)(3) would be (3-2)(3).
Using PEMDAS rules, the equation would be simplified to 1(3), which equals 3.
Approximate -10 + √30 to the nearest tenth.
O-5.5
O-4.5
04.5
O5.5
Answers
Answer:
(b) -4.5
Step-by-step explanation:
Choosing the correct answer here is not the same as knowing what the correct value is.
EstimateYou know that √30 < √100 = 10, so the sum must be negative. That is, 10 subtracted from a positive number less than 10 will give a negative result.
You know that 25 < 30 < 36, so √25 < √30 <√36. That is, √30 will be between 5 and 6. If we say √30 ≈ 5.5, then the sum is ...
-10 +√30 ≈ -10 +5.5 = -4.5
__
Additional comment
Of course, a calculator can tell you the value to the desired precision.
Puis traveled one-quarter of the journey to his destination. He still has to cover 24km to reach the third-way mark. How many kilometers does he still have to travel to reach his destination
Answers
Answer:
The distance Puis still have to travel to reach his destination is 72 km.
Step-by-step explanation:
The given parameters about Puis journey are
Distance covered by Puis = 1/4 of total distance
Distance remaining for Puis to complete the journey = 3/4 of the journey
Distance of Puis from the third-way (central) mark = 24 km
Therefore;
Distance from 1/4 of journey to 1/2 of journey = 24 km
Hence, 1/2 - 1/4 = 1/4 of the journey = 24 km
Which gives Total distance covered by Puis = 24 km
Total distance of the journey = 4 × 24 km = 96 km
The distance Puis still have to travel to reach his destination = 96 - 24 = 72 km.
Helppppp!!!!!!! Gehjdhdhxjndhzjsvahsj
Answers
Answer:
don't worry bbg I got you give me a moment
What is 4x – 5 = 16 ? I have to show my work
Answers
4x - 5 = 16
+ 5 + 5
4x = 21
/4 /4
x = 21/4 = 5.25
Hope this helps!
Answer: x = 21/4
First, you want to Add 5 to both sides of the equation:
4x - 5 + 5 = 16 + 5.
Then you want to simplify:
4x = 21.
Divide both sides of the equation by the same term:
4x/4 = 21/4.
Then you want to simplify:
x = 21/4.
The final solution is:
x = 21/4
Exact Form:
x = 21/4
Decimal Form:
x = 5.25
Mixed Number Form:
x = 5 1/4
Step-by-step explanation:
Hope this helps =)
The product of two fractions is 2/1/2 if one of the fraction is 7/1/2 find the other
Answers
Then, we have:
7/ 1/2 . x
= 2 / 1/2
Simplifying the left-hand side, we get:
7x = 4
Dividing both sides by 7, we get:
x = 4/7
Therefore, the other fraction is
4/7
Sort the angles as acute, right, obtuse, or straight.
Answers
The top angle is right (90 degrees, kinda looks like a bent elbow).
The 2nd is acute (smaller than 90, kind of 'cute' bc it's small).
The 3rd is obtuse (greater than 90, I have nothing corny to say, sorry).
4th is acute.
5th is straight because it's a straight line.
6th is also obtuse.
Have a good day :)