Answer:
\(56.5ft^2\)Explanation:
We were given an isosceles triangle:
Side = 11 ft
Angle = 34.5
The sum of interior angles in a triangle is 180 degrees. This means that:
\(\begin{gathered} 34.5+34.5+x=180 \\ 69+x=180 \\ \text{Subtract ''69'' from both sides, we have:} \\ x=180-69 \\ x=111^{\circ} \end{gathered}\)The angle between the identical sides of the triangle is 111 degrees
The area of the isosceles triangle is given by:
\(\begin{gathered} Area=\frac{1}{2}s^2\sin \theta \\ s=11ft \\ \theta=111^{\circ} \\ Area=\frac{1}{2}\times11^2\times\sin 111^{\circ} \\ Area=\frac{1}{2}\times121\times0.9336 \\ Area=56.4828\approx56.5 \\ Area=56.5ft^2 \end{gathered}\)Therefore, the area of the triangle is 56.5 sq feet
Many businesses and organizations insist that official communications use professional-looking fonts, such as Times New Roman. Fonts characterized as less professional, such as Comic Sans, should be avoided. A student would like to determine if font choice makes a difference in the average grade on a typed response in English classes. There are currently four English classes available from which the student can collect data, and each class has a similar writing assignment. The student considers two methods for collecting data.
Method A: At the start of the assignment, students choose a font, either Times New Roman or Comic Sans, and then complete the assignment.
Method B: At the start of the assignment, students are randomly assigned one of two fonts, either Times New Roman or Comic Sans, and then complete the assignment.
In both methods, the teachers grade the papers received, and the mean grade for each font is determined.
Which method describes an experiment?
Method A is an experiment because the students choose their own font.
Method B is an experiment because the students are randomly assigned a font.
Both methods describe experiments because both fonts are used on the assignment.
Neither method describes an experiment because a third font should be included for comparison.
Answer:
B) Method B is an experiment because the students are randomly assigned a font.
Step-by-step explanation:
correct on edge
The method that describes an experiment is B) Method B is an experiment because the students are randomly assigned a font.
What is an Experiment?This refers to the scientific procedure that is undertaken in order to make a discovery or prove a theorem.
Hence, there are two methods available for use for students who are randomly assigned fonts Method A has to do with the intentional selection, and Method B has to do with random selection.
As a result of this, we can state that Method B is an experiment because the students are randomly assigned a font.
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Dakota shoots 3 free throws in 2 minutes how many free throws will he throw in 6 minutes?
Answer:
9
Step-by-step explanation:
Answer: 12 free throws
Step-by-step explanation: This problem can be solved using proportions or a table.
For every 2 minutes, theres 3 free throws.
For every 4 minutes, theres 6 three throws
For every 6 minutes, theres 12 free throws.
Multiplying twice for each number.
Do you help solve word problems in Excel
Mr. Logan agrees to give you a loan of 25,000 to start your business, but charge you 7% interest. How much will you have to pay him back?
Answer:
26000
Step-by-step explanation:
Show that Polygon ZSCH
is a Scaled copy of
Polygon XJYN.
As ratio is not given, we cannot prove that they are scaled copy.
Define scaled copy.Corresponding portions, or parts that are at the same location in relation to the remainder of each figure, exist in both the original figure and its scaled copy. These components could be angles, points, or segments. Polygon 2, for instance, is a scaled-down version of Polygon 1. There is a point in Polygon 2 for each point in Polygon 1.
Given,
Polygon ZSCH is a Scaled copy of Polygon XJYN.
We simply calculate the ratio of the lengths of the two corresponding sides of two polygons to determine the scale factor. The scaling factor is known as such and the polygons are similar if the ratio is the same for all matching sides.
As ratio is not given, we cannot prove that they are scaled copy.
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adding fractions with unlike denominators
Answer:
A
Step-by-step explanation:
Find the value of x
Please help i don’t know the answer
Answer:
44 + 45 = 99° divided by 2 = 49.5 (you can round to 49)
A number increased by 7
Answer:
n=number
n+7
Step-by-step explanation:
I'll give brainliest!
Answer:
The answer is A
O
X
y
X
y
X
y
X
y
0
2
0
0
-1
0
1
0
5
2
113
1
2
2
8
4
WIN
3
3
4
11
2.5 -2.5-7.5 -12.5
6
W/W
5
6
Select all table’s that represent proportional relationship between x and y
All tables that represent proportional relationship between x and y are:
B. table B.
E. table E.
What is a proportional relationship?In Mathematics and Geometry, a proportional relationship is a type of relationship that produces equivalent ratios and it can be modeled or represented by the following mathematical equation:
y = kx
Where:
y represents the x-variable.x represents the y-variable.k is the constant of proportionality.Next, we would determine the constant of proportionality (k) by using various data points as follows:
Constant of proportionality, k = y/x
Constant of proportionality, k = (20 - 15)/(10 - 5) = (5 - 4)/(1 - 0)
Constant of proportionality, k = 1.
Therefore, the required linear equation is given by;
y = kx
y = x
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Missing information:
The question is incomplete and the complete question is shown in the attached picture.
Please help. Miguel had 2 bags containing number tiles as shown below. Without looking, Miguel selected one tile from each bag. What is the probability that Miguel selected two numbers less than 3?
The probability of Miguel selecting a tile number less than 3 from each bag -1 is 1/5 and bag-2 is 2/5.
The given tiles in bag-1 = {2, 4, 5, 8, 9}
Total number of tiles in bag-1 = 5
The number of tiles less than number 3 in the bag - 1 = 1
The probability of Miguel selecting a tile number less than 3 =
number of tiles less than 3 / total number of tiles = 1/3
The given tiles in bag-2 = {0, 1, 3, 6, 7}
Total number of tiles in bag-2 = 5
The number of tiles less than number 3 in the bag-2 = 2
The probability of Miguel selecting a tile number less than 3 =
number of tiles less than 3 / total number of tiles = 2/3
From the above analysis, we solved the problem.
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if a line has the points (3,4) and (3,8) and it is dilated by a Scale Factor of 3.How long will the image of the line become?
The length of the image of the line, after being dilated by the scale factor, would be B. 12 units.
How to find the length after dilation ?To find the length of the image of the line after dilation, we need to calculate the distance between the two points on the dilated line.
The dilated line's points will be (3, 4 x 3) and (3, 8 x 3), which simplify to (3, 12) and (3, 24).
Then find the distance using the distance formula :
= √((x2 - x1) ² + (y2 - y1) ²)
= √((3 - 3) ² + (24 - 12) ²)
= √ (0 + 144)
= √144
= 12
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Find the missing dimension of the triangle.
Area = 30 mm
-
6 mm
b
b=
mm
Answer:
10 mm
Step-by-step explanation:
We know that the formula for a triangle is A= 1/2(b)(h)
Plug in 30mm for the area as shown and 6 for the base= 30=1/2(6)(h)
Solve= 30=3h
Divide each side by 3 to get h by itself. h=10 or b= 10
depends on which one is missing ^^
Given the drawing as shown below and that pllq. Which of the following cannot be supported by the evidence shown? Worth 10 points
The relation that can not be supported by the evidence in the image is option B
What happens when a transversal cuts a parallel line?
Corresponding angles are those that are located on the same side of the transversal and in identical relative positions to the parallel lines. Angles that correspond to one another have the same measure.
Alternate interior angles are those that are located on the transverse and within the area between the parallel lines, respectively. Congruent alternate interior angles exist.
Alternate external angles are those that are outside of the space between the parallel lines and on the opposing sides of the transversal. Congruent external angles exist between the two.
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The rate of change is CONSTANT in the following table.
х
у
5
1
10 2
20 4
true or false
I'm assuming the table is like:
x, y
5, 1
10, 2
20, 4
In this case, the rate of change is constant as each new pair of values in the table increases by double the previous pair of values.
Please look at photo. Thank you!
Polynomial and rational functions:
A) Find all x and y intercepts. Check all that apply:
X intercepts: 4, 0, 1, and/or none.
Y intercepts: 1, 4, 0 and/or none.
B) write the equations for all vertical and horizontal asymptotes. Enter the equations by writing “and” or “none” when necessary.
C) find the domain and range of f. Write each answer as an interval or union of intervals.
A) All x- and y-intercepts include the following:
x-intercepts: none.
y-intercept: 1.
B) The equation for vertical asymptote is x = 4 and the equation for horizontal asymptote is y = 0.
C) The domain and range of f are:
Domain = [-∞, 4) U [4, ∞]
Range = [0, ∞]
What is the x-intercept?In Mathematics, the x-intercept is the point at which the graph of a function crosses or touches the x-coordinate and the y-value or value of "y" is equal to zero (0).
Part A.
Based on the graph of this rational function, the x-intercept and y-intercept include the following:
x-intercept: none.
y-intercept: 1.
Part B.
An equation that represents the vertical asymptote is x = 4 while the equation represents the horizontal asymptote is y = 0 because the line does not cross those points.
Part C.
By critically observing the graph of this rational function, we can logically deduce the following domain and range:
Domain = [-∞, 4) U [4, ∞] or {x|x ≠ 4}.
Range = [0, ∞] or {y|y ≥ 0}.
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Graph the line with the equation y=-1/4x+1
Need answers please help
Answer
Yes, zero is contained in the interval
What is the area of the polygon given below?
Answer:
diện tích đa giác trong hình là :
186 cm2
Step-by-step explanation:
hãy tách hình đa giác trên thành 4 hình chữ nhật và tính diện tích từng hình chữ nhật
5 points
A circle has a radius of 3 inches. What is the length, in inches, of an arc intercepted by a central angle of 2 radians?
Answer:
7.5in
Step-by-step explanation:
simplify pls do fast
The sum of the decimal values given is 0.93
Simplifying the decimal values can be done thus :
0.36 + 0.57Both values are in two decimal places, hence we can multiply by 100 to obtain a whole number .
0.36*100 = 36
0.57*100 = 57
Adding the whole numbers :
__36
+_57
_____
__93
Dividing the sum by 100 to convert to an equivalent decimal value,
93/100 = 0.93Therefore, the required value is 0.93
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please answer this step by step.
Considering the continuity concept, f(x) is discontinuous at x = -4.
What is the continuity concept?A function f(x) is continuous at x = a if it is defined at x = a, and the lateral limits are equal, that is:
\(\lim_{x \rightarrow a^-} f(x) = \lim_{x \rightarrow a^+} f(x) = f(a)\)
At x = -4, we have that:
The limit to the left is of -3.The limit to the right is of 5.As the lateral limits are different, the limit is not defined, and thus f(x) is discontinuous at x = -4.
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The perimeter of the triangular park shown on the right is 10x - 6. What is the missing length?
Answer:
missing length = 6x - 5
Step-by-step explanation:
the perimeter is the sum of the 3 sides.
subtract the sum of the 2 given sides from the perimeter for missing side, that is
10x - 6 - (x + 1 + 3x - 2)
= 10x - 6 - (4x - 1 ) ← distribute parenthesis by - 1
= 10x - 6 - 4x + 1 ← collect like terms
= 6x - 5
missing length = 6x - 5
If a Play Station was bought for $558 after a 10%
discount, what was the original price of the Play
Station?
The original price of the play station is $620.
Given that, the cost of the play station=$558 and discount=10%.
We need to find the original price of the play station.
What is a discount?The definition of discount is reduced prices or something being sold at a price lower than that item is normally sold for.
Let the original price be x.
Now, x-10% of x=558
⇒x-0.1x=558
⇒0.9x=558
⇒x=$620
Therefore, the original price of the play station is $620.
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simplify this algbraic expression completely 5y-3(y+2)
Answer:
2y - 6
Step-by-step explanation:
5y - 3(y + 2)
distribute
5y + (-3 * y) + (-3 * 2)
simplify
5y -3y + ( -3 * 2)
5y - 3y + ( -6)
5y - 3y - 6
combine like terms
5-3 = 2
2y - 6
Laura invests $100 in an account that continuously compounds. In 50 years, her money will triple. What is the interest rate for this account
Answer:
its something close 5%
Step-by-step explanation:
maria , an experienced shipping clerk, can fill a certain order in 12 hours. , a new clerk, needs 13 hours to do the same job. Working together, how long will it take them to fill the order
It would take them approximately 6.24 hours (or 6 hours and 14 minutes) to complete the order if they work together.
To solve this problem, we can use the formula:
Time = Work ÷ Rate
Time is the time it takes to complete the job, Work is the amount of work to be done, and Rate is the rate of work.
Let's assume that the amount of work to be done is 1 (it doesn't matter what unit we use as long as we are consistent).
Then, Maria's rate of work is 1/12 (she can do 1 job in 12 hours) and the new clerk's rate of work is 1/13 (he can do 1 job in 13 hours).
If they work together, their combined rate of work is the sum of their individual rates:
Rate = Maria's rate + New clerk's rate
Rate = 1/12 + 1/13
Rate = (13 + 12) / (12 x 13)
Rate = 25 / 156
So, their combined rate of work is 25/156 jobs per hour.
Now, we can use the formula to find the time it takes for them to complete the job together:
Time = Work ÷ Rate
Time = 1 ÷ (25/156)
Time = 156/25
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Find the missing measurement. Use 3.14 for it.*
Radius: 6 mm
Diameter: 12 mm
Area: A=
18.84 mm squared
37.68 mm squared
113.04 mm squared
452.16 mm squared
Answer:
452.16 mm squared is a correct answer.
Sure!
;):);):):):):):):):)
I need help with this word problem please
Answer:
Step-by-step explanation:
Given function is,
f(x) = \(x\sqrt{x}\)
We can rewrite this function as,
f(x) = \(x^{\frac{3}{2}}\)
a). Domain of the function is [0, ∞)
Derivative of the function in this domain,
f'(x) = \(\frac{3}{2}x^{(\frac{3}{2}-1)}\)
= \(\frac{3}{2}x^{\frac{1}{2}}\)
Since, f'(x) > 0 in the interval [0, ∞)
Function is increasing in the interval [0, ∞)
b). For local maxima and local minima,
Second derivative of the function,
f"(x) = \(\frac{3}{2}(\frac{1}{2})x^{\frac{1}{2}-1}\)
= \(\frac{3}{4}x^{-\frac{1}{2}}\) > 0
So the function should have a local minima.
But the function is continuous in the interval x ≥ 0,
There is no local minima (only absolute minima).
c). Since, second derivative is undefined at x = 0,
There are no inflection points.
d). Since, f"(x) > 0 in the interval [0, ∞)
Concavity of the curve is UPWARDS.
Where should you place parentheses in the expression 2 + 6 ÷ 2 + 4 × 3 so that the value of the expression is 16? Multiple choice question
Answer: (2+6)÷ 2 + 4 × 3
Answer:
4x3
Step-by-step explanation: