Answers
Answer:
145.1327
Step-by-step explanation:
Divide the given figure up into two smaller figures. Calculate the area of each of the smaller figures and then add up the areas. One can divide this figure into a rectangle with sides (8 and 15), and a semi-circle with a diameter of (8m).
Calculate the area of the rectangle, the formula to calculate the area of a rectangle is ([tex]base*height[/tex])
8 * 15 = 120
Calculate the area of the semi-circle. The formulas for the area of a semi-circle is the formula for the area of a circle divided by (2), ([tex]A=\frac{(pi)r^2}{2}[/tex]). Where (A) represents the are, (pi) represents the number (3.1415...), and (r) represents the radius of the circle. The radius is always half of the diameter of a cricle. Substitute in the given values, and solve
[tex]\frac{(pi)(\frac{8}{2})^2}{2}[/tex]
[tex]=\frac{(pi)(4)^2}{2}[/tex]
[tex]=\frac{(pi)16}{2}[/tex]
[tex]=8(pi)[/tex]
~25.1327
Now add up the two values,
120 + 25.1327
= 145.1327
Related Questions
An amusement park reduced its admission price to $15.50 per day, but now charges $1.50 per ride. Justin has $26 to spend on admission and rides.
Answers
Answer:
Justin has enough for admission and 7 rides.
Step-by-step explanation:
26- 15.50 = 10.50
10.50 / 1.50 = 7 rides
Help please.
A cubic box is 5in. on each side. If each dimension is increased by x in., what is the polynomial function modeling the new volume V?
A. V = x^3 + 10x^2 + 25x
B. V = x^3 + 15x^2 + 75x + 125
C. V = x^3 - 15x^2 + 75x - 125
D. V = -x^3 - 15x^2 + 25x - 125
Answers
Answer:
B think
Step-by-step explanation:
The polynomial function modeling the new volume of a cubic box is 5 inches On each side is x³ + 15x² + 75x + 125, so option B is correct.
What is polynomial?The only operations used in a polynomial are addition, subtraction, multiplication, and positive-integer powers of the variables. It consists of coefficients and indeterminate, often known as variables.
Given:
A cubic box is 5 inches On each side,
New volume of the cube = x + 5 inches,
Calculate the volume of the cube as shown below,
[tex]Volume = side^3[/tex]
V = (x + 5)³
V = x³ + 15x² + 75x + 125
To know more about polynomials:
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What is the slope of the line that passes through the points (3, 4) and (0, -2)
Answers
Answer:
The slope is :
4-(-2)/0-3
4+2/-3
6/-3
-2
-2 is the slope
What is the area of the parallelogram
shown above?
[?] square feet
Answers
Answer:
299 square feet
Step-by-step explanation:
Area of a parallelogram = base × height
Base = 23 ft
Height = 13 ft
Note: the other length, 15 ft is not needed in calculating area of the parallelogram. All we need is just the length of the base and the height.
Area of the parallelogram shown = 23 × 13
Area = 299 ft²
which expression has the same value as 5 - 3x when x = 4
Answers
Answer:
1.75x?
Step-by-step explanation:
I'm not sure if it has to be multiple numbers
What is the length of the altitude of the equilateral triangle below?
Will give brainliest if correct.
Answers
hope this helps and have a wonderful evening
The length of the altitude of the equilateral triangle below is E) 6√3.
The answer is E) 6√3.
The altitude of an equilateral triangle is the perpendicular line that is drawn from a vertex to the opposite side. The altitude bisects the opposite side and the angle at the vertex.
In this equilateral triangle, the side length is 6. The altitude bisects the opposite side, so the altitude is also 6. The angle at the vertex is 60 degrees, so the altitude forms a 30-60-90 triangle with the opposite side and the altitude.
The ratio of the side length to the altitude in a 30-60-90 triangle is 1:√3:2. So, the altitude is 6 * √3 = 6√3.
Therefore, the length of the altitude of the equilateral triangle is 6√3.
To learn more about altitude here:
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Find an equation of the line with the given slope that passes through the given point. Write the equation in the form Ax + By = C.
m = 4, (6,6)
Answers
Answer:
[tex]4x-y=18[/tex]
Step-by-step explanation:
We want to find the equation of a line in standard form with a slope of 4 and passes through the point (6, 6).
First, we can write it in point-slope form. Point-slope form is given by:
[tex]y-y_1=m\left(x-x_1\right)[/tex]
Where (x₁, y₁) is a point and m is the slope.
Substitute:
[tex]y-6=4(x-6)[/tex]
Distribute the right:
[tex]y-6=4x-24[/tex]
Now, we can separate all the variables and the constants. Subtract 4x from both sides:
[tex]-4x+y-6=-24[/tex]
Add add 6 to both sides:
[tex]-4x+y=-18[/tex]
Traditionally, A or the coefficient of x is always positive. Hence, we can divide both sides by -1 to acquire:
[tex]4x-y=18[/tex]
E= Mc
A. Square
B. Triangle
C. Xircle
D. Subnautica
Answers
Answer:
a squared
Step-by-step explanation:
an equation solved by Einstein. possibly the most famous equation in the world. energy(E) = mass(M) times the speed of light (C) squared
squared
It is an equation by Albert Einstein.E=mc2
If the die is rolled 24 times, Find the experimental probability of rolling a 5. Simplify!
Answers
Answer:
gay
Step-by-step explanation:
HELP ME PLS THANK YOU<333
Answers
Answer:
d
Step-by-step explanation:
edge 2020
p.s. pls mark brainliest, and have a good day! :)
What is the rate of change (as a %) if the number of employees in a company decreases from 136 to 84?
Answers
Answer:
38.2%
Step-by-step explanation:
Given data
Initial number= 136
FInal number= 84
%dcrease= initial-final/initial*100
%dcrease= 136-84/136*100
%dcrease= 52/136*100
%dcrease=0.382*100
%dcrease=38.2%
Hence the decrease is 38.2%
How much money would you have to invest at 7% compounded semiannually so that the total investment has a value of $2,090 after one year?
Answers
Answer:
$1,951.03.
Step-by-step explanation:
To determine how much money would you have to invest at 7% compounded semiannually so that the total investment has a value of $ 2,090 after one year, the following mathematical calculation must be performed:
X x (1 + 0.07 / 2) ^ 1x2 = 2,090
X x 1,035 ^ 2 = 2,090
X x 1.071225 = 2,090
X = 2,090 / 1.071225
X = 1,951.03
Thus, $ 1,951.03 must be invested at 7% per annum compounded semiannually to have $ 2,090 in the account after one year.
please help and also how did u get ur answer
You have started to work for a company that has a benefits package that includes contributions to a retirement account. You plan to put $160 per month into the account. The company will contribute 20%. The account is setup with an APR of 9.0% for 32 years.
What is the total monthly amount put into the account?
Excel gives the amount in your retirement account as $425,570.83 after 32 years.
How much more is in the account after 32 years than what you put in?
Answers
9514 1404 393
Answer:
$364,130.83
Step-by-step explanation:
You put in $160 monthly for 32 years, so your contribution is ...
$160×12×32 = $61,440
The difference between the account balance and your contribution is ...
$425,570.83 -$61,440 = $364,130.83
There is $364,130.83 more in the account than what you put in.
A rectangle has a width of 3 units. The rectangle's length is 5 times its width.
What is the area of the rectangle?
square units
Answers
Answer:
45 sq. units
Step-by-step explanation:
3x5=15
15x3=45
Can you help me please?
Answers
9514 1404 393
Answer:
13
Step-by-step explanation:
The segments WX and WY are congruent, so ...
5n -2 = 2n +7
3n = 9 . . . . . . . . . . add 2-2n to both sides
n = 3 . . . . . . . . . . . .divide by 3
WY = 2n +7 = 2(3) +7 . . . . substitute for n in the expression for WY
WY = 13
solve by completing the square! (will give brainlist for work).n ^ 2 + n - 30 = 0
Answers
Answer:
n = 5, -6
Step-by-step explanation:
Ur welcome
A salesman is paid $15.00 per hour for 7 hours plus $9.00 for each sale, x, she makes. She wants to earn more than $150.
Which inequality matches the situation?
Answers
Answer:
what are the options???
There are 9 apples in each
Box. How many Apples are in
in 6 boxes
Answers
Answer:
I believe h do 9 times 6. and u should get 54
plz answer ASAP tysm !
Answers
Answer:
I already did
Step-by-step explanation:
Find the missing value for the exponential function represented by the table below.
Then select the graph that best fits the equation.
a.
8.232, Graph A
c.
9.213, Graph A
b.
8.756, Graph B
d.
-8.232, Graph B
Answers
Answer:
To find the missing value for the exponential function, we need to identify the common ratio (r) of the exponential function, as the function can be represented as y = a(r^x), where a is the initial value.
Starting with the first two points, we can set up an equation:
24 = a(r^-2)
16.8 = a(r^-1)
Dividing the second equation by the first equation, we get:
16.8/24 = (r^-1)/(r^-2)
0.7 = r
Now we can use the third point to solve for a:
11.76 = a(0.7^0)
11.76 = a
Finally, we can use the last point to solve for y:
y = 11.76(0.7^x)
Plugging in x = 1, we get:
y = 11.76(0.7)
y = 8.232
Therefore, the missing value is 8.232, and the graph that best fits the equation is Graph A.
The missing value for the exponential function is 8.232.
The graph that best fits the equation is Graph A.
What is exponential Function?An exponential function is a Mathematical function in the form f (x) = [tex]a^x[/tex], where “x” is a variable and “a” is a constant which is called the base of the function and it should be greater than 0.
We know the standard form of exponential function is
y = a[tex](r^x)[/tex], where a is the initial value.
Now, taking the first two points we get
24 = a([tex]r^{-2[/tex])
and, 16.8 = a([tex]r^{-1[/tex])
Dividing the above equation we get
16.8/24 = ([tex]r^{-1[/tex])/ ([tex]r^{-2[/tex])
r = 0.7
Now, find the value of a
11.76 = a([tex]0.7^0[/tex])
11.76 = a
So, y = 11.76([tex]0.7^x[/tex])
For x=1 the above equation gives
y = 11.76(0.7)
y = 8.232
and the graph that best fits the equation is Graph A.
Learn more about Exponential Equation here:
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Can someone help me pls
Answers
72 would be the answer
If the common ratio of a geometric sequence is less
than 0, what do you know about the signs of the
terms of the sequence? Explain.
Answers
Answer:
Step-by-step explanation:
it's going to alternate back and froth between positive and negative, maybe it will make one of those "telescoping" sequences
What are 6 facts about Will Smith?
(They cant be about his date of birth, place of birth, his spouse, and children)
Answers
Will Smith became a millionaire before the age of 18.
Will Smith has been his adult height since he was 13 years old.
Will Smith’s home is equipped with paperless toilets.
Will Smith can solve a Rubik’s Cube in 55 seconds.
Will Smith has a passion for chess.
Barack Obama has tipped Will to play him in a hypothetical movie.
Will Smith held the Guinness World Record for most public appearances in 12 hours.
You can spend a night in The Fresh Prince of Bel-Air mansion.
Hope this helps :)
Have a great day!
Pythagorean theorem-writing prompt (need help!!!)
Answers
Answer: 10
Step-by-step explanation:
The reciprocal of the sum of the number and 3?
Answers
Answer:
Could you please check if you've written the question properly
This question doesn't provide enough information
Please mark as brainliest for further answers :)A group of 540 students are required to take a test. Of these,
495 actually take the test, and 45 are absent that day.
(i) Write down the ratio of the number of students who take the test
to the number of students who are absent. Simplify this ratio as far
as possible. [3]
(ii) Of the 495 students who take the test, the numbers of students
obtaining grades A, B, C and D are in the ratio 5 : 14 : 10 : 4,
respectively. Calculate the number of students obtaining each
grade. Explain how you could check that your answers are
Answers
Answer:
1175, 210, 150, 60If y=4, what does x equal??
Answers
Answer:
since y=4
from one of the equations
6x+4y=46
substitute y=4 In the equation
6x+4(4)=46
6x+16=46
6x=46-16
6x=30
divide both sides by the co efficient of'x'
6x/6=30/6
x=5
The function f(x) = (x − 4)(x − 2) is shown.
On a coordinate plane, a parabola opens up. It goes through (2, 0), has a vertex at (3, negative 1), and goes through (4, 0).
What is the range of the function?
all real numbers less than or equal to 3
all real numbers less than or equal to −1
all real numbers greater than or equal to 3
all real numbers greater than or equal to −1
Answers
Answer:
Last Option : all real numbers greater than or equal to −1
Step-by-step explanation:
Answer:
D.all real numbers greater than or equal to −1
Step-by-step explanation:
Find the area of the shape below
Answers
Answer:
3sqft
Step-by-step explanation:
Note that you can draw the segment AH and notice that you have 2 triangles with base 2ft and height 1.5ft each.
The area will be 2 * (2ft * 1.5ft / 2) = 3sqft
Answer:
6 ft^2
Step-by-step explanation:
Area: A = (ab)/2 where a is the H-A and b is M-T
Plugin the numbers: A = (2 x 6)/2 = 6 ft^2
Wesley sailed his boat due north for 18 miles, then due east for another 18 miles. Approximately how
far is Wesley from where he began?
Answers
Answer:
8\sqrt(2)
Step-by-step explanation: