Answers
To solve this problem, we need to find the area of the circle and divide that by 2 to get the area of the semicircle, and then add that to the area of the rectangle.
First, let's find the area of the semicircle.
Since the area of a circle is calculated by pi × r^2 and diameter = 2r, we divide the diameter by 2 and plug it into the formula.
10 ÷ 2 = 5
pi × 5^2
= pi × 25
= 25pi
25pi ÷ 2 = 12.5pi
Now, let's find the area of the rectangle.
4 × 10 = 40
We add the areas together:
12.5pi + 40 = 79.27
So, the area is 79.27.
Hope this helps!
Area of a circle : pi × radius^2
r = 5
area : 78.54
but we need half of it. so divide it by 2
39.27
area of the rectangle on the bottom : 10 × 4 = 40
40 + 39.27 = 79.27
so your answer is 79.27 in²
Related Questions
A lake has the capacity to support 10,000 trout. Suppose that the conditions are such that the current population of trout will grow logistically up until it stabilizes at the amount that the lake can support. Currently there are 1,500 trout in the lake. Which of the following is a possible model for P(t), the trout population in t years?
Answers
Answer:
P(t) = 10,000/ (1+9e^-0.48t)
Step-by-step explanation:
i think because it starts at around 1500 for t=1 and then when t=2 and so on it grows exponentially.
Suppose the dial on the spinner is spun 2 times in a row.
X is the number of times the dial lands on region A.
Which table represents the probability distribution for the variable X?
Answers
1) Dial does not land in the region A
2) Dial lands once in the region A
3) Dial lands twice in the region A
The combined probability of these three events has to be 1.
Let's calculate probabilities of each event:
[tex]1) P=P(1,1)=\frac{2}{3}\cdot\frac{2}{3}=\frac{4}{9}\\ 2)P=P(1,2)+P(2,1)=2\cdot \frac{2}{3}\cdot \frac{1}{3}=\frac{4}{9}\\ 3)P=P(3,3)=\frac{1}{3}\cdot\frac{1}{3}=\frac{1}{9}[/tex]
If we summ all those probabilities we get 1.
The answer would table C (lower left corner).
if this is your spinner the answer is
the answer is
X P
0 1/9
1 4/9
2 4/9
What is the maximum number of real zeros that a function with degree 5?
Answers
y = (x - 22)(x - 1)(x + 1)(x - 2)(x+2)
A person at ground level measures the angle of elevation to the top of a building to be 74degrees if at this point the person is 34 feet away from the base of the building, then how tall is the building round to the nearest tenth.
Show work
Will give brainliest to best answer
Answers
Let
h---------> building tall
we know that
tan 74°=h/34---------> h=34*tan 74°--------> 34*3.487------> 118.57
h=118.6 ft
the answer is h=118.6 ft
7x(x+4)
A. 7x^2+4
B. 7x^2+28x
C.8x+4
D.8x+11
Answers
Use distributive property:
a(b + c) = ab + ac.
7x(x + 4) = (7x)(x) + (7x)(4) = 7x² + 28x
Answer: B. 7x^2 + 28xplease help me thank you.
Answers
_____
Any angle with sides that are radii and a vertex at the center of the circle is a central angle.
You bought a coat at $78.50 and two shirts at $21.99 each. if the sales tax rate is 7%, how much is the total purchase?
Answers
Answer:
The answer is going to be $131.05
Step-by-step explanation:
I just took the test
I'll give you brainliest answer!! Help me. This diagram shows a smaller square inscribed within a larger square.
Answer with supporting work:
Answers
hypotenuse^2 = 3^2 + 4^2
hypotenuse^2 = 9 + 16
hypotenuse^2 = 25
hypotenuse = 5
Therefore, the area of the smaller square is 5 * 5 = 25
For which data representation is the median the better measure of center
Answers
In all but the 3 graphs, the data is perfectly symmetrical. This means that the mean and the median would be the same.
However, in the second graph the data is skewed to the right. This means that the mean would also be skewed to the right due to the larger scores there. Using the median in this case would give a clearer picture of the data.
If GH = 3 and HJ = 5, then G ___ J.
Choose the relationship symbol that would make a true statement.
Answers
Step-by-step explanation:
The given equation is as follows.
GH = 3 and HJ = 5
Therefore, simplify for H from both the equations as follows.
H = [tex]\frac{3}{G}[/tex] .......... (1)
and, H = [tex]\frac{5}{J}[/tex] .......... (2)
Equating both equation s(1) and (2), we get the following.
[tex]\frac{3}{G}[/tex] = [tex]\frac{5}{J}[/tex]
G = [tex]\frac{3J}{5}[/tex]
or, G = 0.6J
This means that J will be 0.6 times greater than G.
Thus, we can conclude that G < J.
How many numbers less than 1000 are divisible by 7?
Answers
A store owner paid $15 for a book she marked up the price of the the book by 40% to determine its selling price part A what is the selling price of the book? Part B a customer buys a different book that has an original selling price of $38 the book is discounted 25% the costumer must pay 6% sales tax on the discounted price of the book .what is the total amount the customer must pay for the discounted book
Answers
40% = 0.4
15*0.4 = 6
15 + 6 = 21
The marked up price is $21
B:
To find the discounted price:
25% = 0.25
38*0.25 = 9.5
38 - 9.50 = 28.50
To find the tax and price after tax:
6% = 0.06
28.50*0.06 = 1.71
So tax is $1.71
28.50 + 1.71 = 30.21
Price after tax is $30.21
Rotate this image 90 clockwise around the point (-1 1 )
Answers
In this case given the point (-1, 1), the image will be (1, -(-1)) or (1, 1)
Answer: You didn't put options A, B, C, OR D
no picture either
Step-by-step explanation:
What is the measure of ∠EGF?
What is the measure of ∠CGF?
Answers
= 1/2(130)
= 65
the measure of ∠CGF = 180 - 65
= 115
This is an isosceles triangle, which means its base angles are congruent. Interior angles of triangle add to equal 180 degrees, so you can make an equation to solve for the measure of the base angles. I'll call the base angles x.
180 = 50 + 2x
130 = 2x
65 = x
That gives you m∠EGF and m∠FGE (65°).
To find m∠CGF, you must know that it and ∠EGF are supplementary (they add to equal 180 degrees). Make another equation setting them to equal 180 using m∠EGF (65°):
180 = 65 + x
115 = x
Answer:
m∠EGF = 65°
m∠CGF = 115°
15. The following statements concerning the location of an extreme value of a twice-differentiable function, f, are all true. Which statement also includes the correct justification?
(A) The function has a maximum at x=5 because f'(5)=0.
(B) The function has a maximum at x=5 because f'(x)<0 for x<5 and f'(x)>0 for x>5.
(C) The function has a minimum at x=3 because the tangent line at x=3 is horizontal.
(D) The function has a minimum at x=3 because f'(x)<0 for x<3 and f'(x)>0 for x>3.
(E) The function has a minimum at x=3 because f"(3)<0.,
Answers
Write the polynomial in standard form. Then name the polynomial based on it's degree and number of terms.
3 - 10x^2 - 7x + 3x^2
Answers
-7x^2 - 7x + 3
This is a trinomial because it has 3 terms.
The degree of this polynomial is 2.
A trapezoid has an area of 150 square meters. If the bases are 14 meters and 16 meters, what us the height of the trapezoid?
Answers
[tex]a = \frac{1}{2} (b1 + b2) \times h[/tex]
In this formula a represents the area and b1 and b2 each represent a base of the trapezoid.
So, we have got the following information
[tex]a = 150[/tex]
[tex]b1 = 14[/tex]
[tex]b2 = 16[/tex]
Filling in the formula gives us:
[tex]150 = \frac{{1} }{2} \times (14 + 16) \times h[/tex]
[tex]150 = \frac{1}{2} \times 30 \times h[/tex]
[tex]150 = 15 \times h[/tex]
Finally we have to divide both sides by 15.
[tex]h = 150 \div 15 = 10[/tex]
Therefore, the height of the trapezoid is 10 meters.
This figure shows circle O with inscribed ∠XYZ. m∠XYZ=76∘ What is the measure of XYZ?
Answers
now, the inscribed angle is at ∡XYZ and is 76°, that means by the "inscribed angle theorem", the intercepted arcXZ, in red, is twice as much, namely 152°.
keeping in mind that a circle has a total of 360°, and since the red arc has already taken up 152°, the arcXYZ in blue, will pick up the slack from 360° - 152°, namely 208°.
In parallelogram DEFG, DH = x + 3, HF = 3y, GH = 3x – 3, and HE = 5y + 4. Find the values of x and y.
x = 5, y = 12
x = 5, y = 9
x = 4, y = 9
x = 9, y = 4
Answers
DH = HF
x + 3 = 3y
GH = HE
3x - 3 = 5y + 4
We then have the following system of equations:
x-3y = -3
3x-5y = 7
Resolving the system graphically we obtain the following values:
x = 9
y = 4
Note: see attached image.
Answer:
The values of x and y are:
x = 9, y = 4
Final answer:
In parallelogram DEFG, DH = x + 3, HF = 3y, GH = 3x – 3, and HE = 5y + 4. Solving the equations yields x = 9, y = 4.
Explanation:
To find the values of x and y in parallelogram DEFG, we'll use the properties of parallelograms. In a parallelogram, opposite sides are equal in length.
Given that DH = x + 3 and HF = 3y, and that DH is opposite to HF, we have:
x + 3 = 3y ...(1)
Similarly, given GH = 3x - 3 and HE = 5y + 4, and that GH is opposite to HE, we have:
3x - 3 = 5y + 4 ...(2)
Now, we have a system of two equations (1) and (2) to solve for x and y.
From equation (1):
x = 3y - 3 ...(3)
Substitute equation (3) into equation (2):
3(3y - 3) - 3 = 5y + 4
9y - 9 - 3 = 5y + 4
9y - 12 = 5y + 4
4y = 16
y = 4
Now, substitute the value of y into equation (3):
x = 3(4) - 3
x = 12 - 3
x = 9
So, the values of x and y are x = 9 and y = 4. Thus, the correct answer is x = 9, y = 4.
Can someone please help me.
The polygons are similar. Write a similarity statement and give the scale factor
Answers
[tex] \frac{4}{3} [/tex]
all you need to so is take one of the sides from the larger figure and divide it by the corresponding side on the smaller figure for example
[tex] \frac{24}{13} [/tex]
which simplifys to your answer
[tex] \frac{4}{3} [/tex]
Instructions:Select the correct answer from each drop-down menu. The sum of the squares of two consecutive positive even numbers is 340. Find the numbers. The consecutive even numbers are
Answers
[tex] x^{2} + (x + 2)^{2} = 340[/tex]
If we expand the second term:
[tex] x^{2} + x^{2} + 4x + 4 = 340[/tex]
Combine like terms:
[tex]2 x^{2} + 4x + 4 = 340[/tex]
You can reduce this by dividing both sides of the equation by two:
[tex] x^{2} + 2x + 2 = 170[/tex]
And we transpose 170 to get a standard quadratic form that the right side will be zero:
[tex] x^{2} + 2x - 168 = 0[/tex]
Then factor the left side:
[tex](x +14)(x-12) = 0[/tex]
Find out the values of x that makes each factor = 0
x + 14 = 0
x = -14
We can eliminate the negative symbol because the problem is asking for positive even integers.
and;
x - 12 = 0
x = 12
Now we can say that the first positive integer is 12 and the second one is 14
the sum of the squares of these 2 numbers are 340
x² + (x+2)² = 340
x² + x² + 4x + 4 = 340
2x² + 4x - 336 = 0
we are left with a quadratic equation
coefficient of x is 2 therefore divide each number by 2
x² + 2x - 168 = 0
to solve the quadratic equation , the 2 factors whose product is 168x² and sum is 2x is -12x and 14x
x² + 14x -12x -168 = 0
x (x + 14) - 12(x + 14)=0
(x+14)(x-12) = 0
we have 2 possible values for x
x + 14 = 0 x-12 = 0
x = -14 x = 12
from the 2 answers the correct answer is x = 12 as it should be a positive integer
one integer is 12 and consecutive even integer is 14
to check the product of the squared numbers
= 14² + 12²
= 196 + 144
= 340
The point nearest to the origin on a line is at (4, -4). Find the standard form of the equation of the line.
Answers
.. y = (x -4) -4
or, in standard form
.. x - y = 8
Evaluate the determinant for the following matrix:
-4 -4 -3
3 3 -5
-5 2 -5
A. –203 B. 75 C. –152 D. –263
Answers
Answer:
The determinant of matrix is -203
Step-by-step explanation:
Given the matrix of order 3 i.e
[tex]A=\begin{bmatrix}-4&-4&-3\\ 3&3&-5\\ -5&2&-5 \end{bmatrix}[/tex]
we have to find the determinant of matrix A
[tex]|A|=-4(-5(3)-(-5)(2))-3((-4)(-5)-(-3)(2))+(-5)((-5)(-4)-(-3)(3))\\\\|A|=-4(-15+10)-3(20+6)-5(20+9)\\\\|A|=-4(-5)-3(26)-5(29)\\\\|A|=20-78-145\\\\|A|=-203[/tex]
Hence, the determinant of matrix is -203
Option A is correct.
What exponential function is the best fit for the data in the table?
x f(x)
2 -3
3 0
4 12
A. f(x) = 4(4)^x - 1 + 4
B. f(x) =4(4)^ x - 1 - 4
C. f(x) = 1/4(4)^x -1 + 4
D. f(x) = 1/4(4)^ x - 1 - 4
Answers
There are multiple ways to get to the right answer. You could plot the points on a graphing calculator. Then, graph each function to determine which equation matches the points.
You could also input the x values and see which equation produces the y values in the chart.
On thing to notice is the we have negative output values, there we need to pick either B or D, so the values go beneath the x-axis.
Answer:
option D.
Step-by-step explanation:
Data given in the table is
x 2 3 4
f(x) -3 0 12
Now we will plug in the values of x in the given functions to find the correct exponential function.
For x =2
A). f(x) = 4(4)[tex]^{(x-1)}[/tex] + 4
f(2) = 4(4)[tex]^{2-1}[/tex] + 4 = 4 × 4 + 4 = 20
B). f(x) = 4(4)[tex]^{(2-1)}[/tex] - 4
f(2) = 4(4)[tex]^{2-1}[/tex] - 4 = (4)(4) - 4 = 16 - 4 = 12
C). f(x) = 1/4(4)[tex]^{x-1}[/tex] +4
1/4(4)[tex]^{2-1}[/tex] + 4 = [tex]\frac{1}{4}[/tex] × 4 + 4
= 1 + 4 = 5
D). f(x) = [tex]\frac{1}{4}(4)^{x-1}-4[/tex]
f(2) = [tex]\frac{1}{4} (4)^{2-1}-4=\frac{1}{4}(4)-4[/tex]
= 1 - 4 = -3
We find option D in which f(2) = (-3). so the answer would be option D.
which reason justifies the last step in a proof that ΔEDG≌ΔADC?
Answers
fd is congruet to db
ed is congruent to da
and vertical angles theorem
Find the inverse of the following function. f(x) 8√ x for x > 0
Answers
The inverse of the function f(x) = 8√x for x > 0 is g(x) = x^2/64.
To find the inverse of the function f(x) = 8√x for x > 0, we need to interchange the roles of x and y and solve for y.
Let's start by rewriting the function using y instead of f(x):
y = 8√x
Next, we'll swap x and y:
x = 8√y
To isolate y, we can square both sides:
[tex]x^2 = (8\sqrt y)^2\\\\x^2 = 64y[/tex]
Now, divide both sides by 64:
[tex]x^2/64 = y[/tex]
Simplifying further:
[tex]y = x^2/64[/tex]
Therefore, the inverse of the function f(x) = 8√x for x > 0 is given by [tex]g(x) = x^2/64.[/tex]
To know more about inverse, refer here:
https://brainly.com/question/28595565
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Find the least common multiple of x² + x – 12 and x² + 2x – 15.
Answers
Solution:
we have been asked to find the Least Common multiple of the given polynomial x² + x – 12 and x² + 2x – 15.
To find the least common multiple. Lets first find the factors.
[tex] x^2+x-12=x^2+4x-3x-12\\
\\
x^2+x-12=x(x+4)-3(x+4)\\
\\
x^2+x-12=(x+4)(x-3)\\ [/tex]
[tex] x^2+2x-15=x^2+5x-3x-15\\
\\
x^2+2x-15=x(x+5)-3(x+5)\\
\\
x^2+2x-15=(x+5)(x-3)\\ [/tex]
Hence the LCM of the given set of Polynomials is (x+4)(x-3)(x+5).
The LCM is (x+4)*(x-3)*(x+5)
Compare the values of the underlined digits.
34,258 and 47,163
- -
The value of 4 in _________ is______ times the value of 4 in ________
PLEASE ANSWER ASAP IT'S FOR MY SISTER
Answers
In the second number, the "4" is in the ten thousands place - meaning it's
40,000 + 7,163.
40,000/4,000 = 10
The value of 40,000 in the second value is 10x greater than the value of 4,000 in the first value.
Many 1/2 inch cubes can fit into a box that is 15 inches tall, 1 1/2 inches wide, and 3 inches long?
Answers
Yesterday , the snow was 2 feet deep in front of archies house. Today, the snow depth dropped to 1.6 feet because the day is so warm.What is the percent change in the depth of the snow?
Answers
later snow depth = 1.6 feet
change
2 - 1.6
0.4 feet
percentage change
(0.4 / 2) * 100
20 %