1. Find the area of the composite figure to the nearest hundredth.
55 mm
32.5 mm
12.5 mm
12.5 mm
total area =
mm?
Answers
Answer:
[tex]745.45 mm^{2}[/tex]
Step-by-step explanation:
(semicircle) A1 = 245.45 mm
(rectangle) A2 = 312.5 mm
(triangle) A3 = 187.5 mm
Formula for semicircle = [tex]A = \frac{1}{2} \pi r^{2}[/tex]
[tex]\frac{1}{2}\pi 12.5^{2} = 78.13\pi = 245.45 mm[/tex]
Formula for rectangle = [tex]A = lw[/tex]
[tex]25 x 12.5 = 312.5 mm[/tex]
Formula for triangle = [tex]A = \frac{1}{2} bh[/tex]
[tex]\frac{1}{2} 30(12.5) = 187.50mm[/tex]
Now we add them all up to get our answer
[tex]245.45 + 312.5 + 187.5 =745.45mm^{2}[/tex]
The area of the composite figure is 741.31 mm².
What is area?The area of any object is given by the space covered by it.
Given is a composite figure having shapes, a semicircle, a triangle and rectangle,
We need to find the area of the composite figure,
So, to find the same we will find the areas of the figure and then add them,
So,
Area of a semicircle = π × radius² / 2
= 3.14 × 12.5² / 2
= 245.31 mm²
Area of a triangle = 1/2 × base × height
= 1/2 × 12.5 × 30
= 187.5 mm²
Area of a rectangle = length × width
= 12.5 × 25
= 312.5 mm²
Now, the whole area = 245.31 + 187.5 + 312.5 = 741.31 mm²
Hence the area of the composite figure is 741.31 mm².
Learn more about area click;
https://brainly.com/question/27683633
#SPJ2
Related Questions
Giving brainlist to whoever answers
Answers
Answer:
B I am 100% sure
Step-by-step explanation:
Write the percent as a fraction and as a decimal.
372%
What is the fraction equivalent?
Answers
Answer:
fraction form- 372/100
decimal- 3.72
Step-by-step explanation:
Find the percent of the number. 25% of 50 is
Answers
Just take 50/4
Answer:
12.5
Step-by-step explanation:
Can some smart person help me out here!!!
Answers
Answer:
the answer is C I'm studying this right now
A company says its premium mixture of nuts contains 10% Brazil nuts, 20% cashews, 20% almonds, and 10% hazelnuts, and the rest are peanuts. You buy a large can and separate the various kinds of nuts. Upon weighing them, you find there are 112 grams of Brazil nuts, 183 grams of cashews, 207 grams of almonds, 71 grams of hazelnuts, and 446 grams of peanuts. You wonder whether your mix is significantly different from what the company advertises. a) Explain why the chi-square goodness-of-fit test is not an appropriate way to find out. b) What might you do instead of weighing the nuts in or- der to use a test
Answers
Answer:
jhtbieugcn5guwnhhubymymuwihyehnmedmilgb,dhlhut,dybidbthi,yibtjd,njhsknhb
Step-by-step explanation:
Need help getting the answer to the question below.
Answers
Answer:
.0065
Step-by-step explanation:
You move the decimal backwards 3 times
Answer:
The answer is 0.0065
Step-by-step explanation:
Hope it will help you...
The midpoint of AB is M(-4, 2). If the coordinates of A are (-6, 5), what are the coordinates of B?
Answers
Answer:
figure it out
Step-by-step explanation:
Exercise #4: Which of the following equations would model an exponential quantity that begins at a level of
16 and decreases at a constant rate of 8% per hour?
(1) Q =16(0.92)
(3) Q =16(1.08)
(2) Q = 16+0.92
(4) Q =16(-7)
Answers
Sam said the square root of a rational number must be a rational number. Jenna disagreed. She said that it is possible
that the square root of a rational number can be irrational. Who is correct and why?
Jenna is correct because all square roots are irrational numbers.
Sam is correct because all square roots of rational numbers are rational. An example is 121 - 11.
O Jenna is correct because not all square roots are rational. An example is 2-1.414213
Sam is correct because the properties of square roots state that the square root of a rational number is a rational
number
Answers
Answer: Definitely C!
Jenna is correct because not all square roots are rational. An example is StartRoot 2 EndRoot = 1.414213 ellipsis
Step-by-step explanation:
The answer is C. Trust me I did the quiz on edge 22
The length of a rectangular screen is 6 feet, and the width of the screen is 8 feet. What is the length of a diagonal of this screen in feet?
Answers
Answer:
Length of diagonal = 10 feet
Step-by-step explanation:
Length of a rectangular screen = 6 feet
Width of the rectangular screen = 8 feet
Since, all interior angles of a rectangle are 90°,
Triangle formed with two adjacent sides and the diagonal will be a right triangle.
By applying Pythagoras theorem,
Hypotenuse² = (leg 1)² + (leg 2)²
(Diagonal)² = (leg 1)² + (leg 2)²
Diagonal = [tex]\sqrt{6^2+8^2}[/tex]
= [tex]\sqrt{100}[/tex]
= 10 feet
An electrician charged a fee of $45 plus $60 per hour to come to Ed's house and make a repair. How many hours did the repair take if the total bill was $120.
Answers
Answer:
1 hour and 15 minutes
Step-by-step explanation:
$120 - $45 = $75
$75 ÷ $60 = 1.25 hours or and 1 hour and 15 minutes
If x = 1, y = 7, and z = 15, determine a number that when added to x, y, and z yields consecutive terms of a geometric sequence. What are the first three terms in the geometric sequence? 3
Answers
Given:
[tex]x = 1, y = 7,z = 15[/tex]
A number is added to x, y, and z yields consecutive terms of a geometric sequence.
To find:
The number which is added to x, y, and z, then find the first three terms in the geometric sequence.
Solution:
Let the unknown number be k.
After adding k to x, y, and z, we get
[tex]x = 1+k, y = 7+k,z = 15+k[/tex]
These are the consecutive terms of a geometric sequence. So,
[tex](7+k)^2=(1+k)(15+k)[/tex]
[tex]49+14k+k^2=15+k+15k+k^2[/tex]
[tex]49+14k=15+16k[/tex]
Isolate the variable terms.
[tex]49-15=16k-14k[/tex]
[tex]34=2k[/tex]
[tex]\dfrac{34}{2}=k[/tex]
[tex]17=k[/tex]
The unknown number is 17.
Now,
[tex]x=1+k[/tex]
[tex]x=1+17[/tex]
[tex]x=18[/tex]
Similarly,
[tex]y=7+k[/tex]
[tex]y=7+17[/tex]
[tex]y=24[/tex]
And
[tex]z=15+k[/tex]
[tex]z=15+17[/tex]
[tex]z=32[/tex]
Therefore, the three terms in the geometric sequence are 18, 24, 32.
What is an equation of the line that passes through the points (-4,-2)
and (8, 1)?
Answers
Answer:
y=1/4x-1
Step-by-step explanation:
I dont know what is the missing number 6 x ? x 3 = 90
Answers
A store buys a coat for $120. If they sell it for $180, why is the percent of change?
Answers
Answer: 50%
Step-by-step explanation: [tex]180 - 120 = 60[/tex], [tex]60/120=1/2[/tex] which is [tex]50%[/tex]%.
Hope this helps!
determine the domain and range of the graphed function
Answers
Answer:
B
Step-by-step explanation:
Need help plzzz with math 20 point plzz help 20 points no links or imma report
Answers
Answer:
The answer is C
Explain:
Solve for x in the first equation.
Add 4y to both sides of the equation
3x=12+4y
12y-9x=36
Divide each term by 3 and simplify
X=4+4y/3
12y-9x=36
Replace all occurrences of x with 4+4y/3 in each equation.
-36=36
X=4+4y/3
Since -36=36 is not true, there is no solution
La'Shawn buys the largest pizza he can find for his 16th birthday party. If he purchases the
mega pizza from Jin Jin's Biggest and Bestest Pizza and the pizza is cut into 12 equal slices with
a edge (arc) of 5.25 inches each, what is the diameter of the pizza? Round your answer to the
nearest inch.
Answers
Answer:
b
Step-by-step explanation:
A graphic designer creates a logo in the shape of an ellipse. The equation
+
64
= 1, with units in centimeters,
14.44
represents the outer edge of the logo. How tall is the logo?
Answers
Answer:
b
Step-by-step explanation:
The height of logo is 7.6 cm.
What is ellipse?An ellipse is a closed curve, the intersection of a right circular cone and a plane that is not parallel to the base, the axis, or an element of the cone.
Given:
x²/64 + y²/14.44=1
We know
x²/a² + y²/b² =1
On comparing
a²=64
and, b²=14.44
Also, a=8 and b= 3.8
So, length of logo will be = 2h
=2* 3.8
=7.6 cm
Learn more about this concept here:
https://brainly.com/question/14281133
#SPJ5
What is the slope of a line that passes through (1, -2) and (2, 4)?
Please help
Answers
The formula would be (y2-y1)/(x2-x1)
So, plugging it in, the equation would be (4+2)/(2-1)
Solving that, you get you a slope of 6.
The movie theater has 30 seats in the front row. Each row has 3 more seats than the row before it. How many seats are in the 25th row?
63
102
33
105
Answers
Answer:
d
Step-by-step explanation:
Answer:
105
Step-by-step explanation:
First you'd write an equation:
y(the number of seats) = 3x(the number of rows) + 30
Then, you'd replace the X with 25 and get your answer:
y = 3 (25) + 30
y = 75 + 30
y = 105
Javier estimates the square root of 18 in the following way: √18=2√9=2*3=6 Explain why her reasoning is incorrect. Without using a calculator, the square root of 18 will be between what two values (remember to look for perfect squares/perfect square roots)? Show your reasoning. You do not need to find the decimal equivalent of the root.
Answers
Answer:
Javier estimates the square root of 18 in the following way: √18=2√9=2*3=6 Explain why her reasoning is incorrect. Without using a calculator, the square root of 18 will be between what two values (remember to look for perfect squares/perfect square roots)? Show your reasoning. You do not need to find the decimal equivalent of the root.
Answer:
Solution given:
√18√[9×2]3√2 is a perfect square of √18.not 6.A tower that is 137 feet tall cast a shadow 152 feet long find the angle of elevation of the sun to the nearest degree
Answers
Answer: 41 will be your answer
Step-by-step explanation:
En una tienda en la que todo está rebajado el 15% he comprado un pantalón por el que he pagado 102 €. ¿Cuál era el precio antes de la rebaja?
Answers
Answer:
120 euros
Step-by-step explanation:
X= 100% del precio (antes de la rebaja)
Pagaste el 85% pues habia descuento del 15%
85%--------------102
100%---------------x
CROSS MULTIPLICATION
85X = 10200
Divide cada parte por 85
x= 120
Teniendo en cuenta la definición de descuento, el precio antes de la rebaja era 120 €.
En una operación de descuento, el valor que se paga después de haberle practicado el descuento se denomina “valor actual”.
Recordando que el porcentaje representa una parte del total, el valor actual se puede calcular multiplicando el porcentaje a descontar por el precio original, al cual luego se divide por cien. Finalmente, se resta al precio original este valor de descuento calculado. De esta manera se averigua el precio de venta.
Entonces, sea el precio original del producto p. Por lo que el descuento del precio original será:
15% de p= (15×p) ÷10
Sabiendo que se ha pagado 102 € por el pantalón, entonces:
p - (15×p) ÷10 = 102
Resolviendo
p - 0,15×p= 102
0,85×p= 102
p= 102÷0.85
p= 120
Finalmente, el precio antes de la rebaja era 120 €.
Aprende mas con estos ejemplos:
https://brainly.com/question/23880934?referrer=searchResultshttps://brainly.com/question/20333251?referrer=searchResultshttps://brainly.com/question/21289921?referrer=searchResultsPlease help if you know the answer please
Answers
Hope this helps
Please mark brainliest
Let me know if this is wrong
Have a good day
..;)
Answer:
i think the answer is b. 0.19
Step-by-step explanation:
let me know if this is incorrect
I needddd helppppp !!!what’s the answer ?
Answers
Answer:
cosA = [tex]\frac{8}{17}[/tex]
Step-by-step explanation:
Using the identity
cosA = [tex]\frac{1}{secA}[/tex] = [tex]\frac{1}{\frac{17}{8} }[/tex] = [tex]\frac{8}{17}[/tex]
Answer:
8/17
Step-by-step explanation:
sec A = Hypotenuse/ Adjacent = 17/8
cos A = Adjacent / Hypotenuse = 8/17
Hope this helps
Malcolm is filling bags with rice. He starts with a 5
1 over 4 pound container of rice and fills each
bag with pound of rice. How many bags of rice can Malcolm fill?
Answers
(I think that says 51...)
Basically all you do is multiply 51 by 4
51
x 4
104
The answer (if those numbers are correct) is 104.
Please help with this question
Answers
Answer:
Point G and Point B
Step-by-step explanation:
The quadrant on the top right is quadrant 1 and the quadrant on the top left is quadrant 2. The quadrant on the bottom right is quadrant 4 and the quadrant on the bottom left is quadrant 3.
Pyramid ABCDE is a square pyramid. What is the lateral area of pyramid ABCDE? 2563√ in² 3843√ in² 5123√ in² 10243√ in² Pyramid A B C D E with vertex A and base B C D E. Angle A C B measures 60 degrees and D C equals 16 inches.
Answers
Answer:
2563 (square root)in^2
Step-by-step explanation:
i took the test
By visual inspection, determine the best-fitting regression model for the
scatterplot.
y
5
Pood
A. Exponential
B. Quadratic
C. No pattern
D. Linear
Answers
Answer:
The answer is Exponential
Exponential regression finds the equation of the exponential function that best fits the data points in the scatterplot.
The correct option is A.
As per the given diagram,
the scatter plot shows an exponential function.
To determine the best-fitting regression model for a scatterplot that follows an exponential function, we need to use exponential regression. Exponential regression finds the equation of the exponential function that best fits the data points in the scatterplot.
Therefore, an exponential regression model is appropriate.
To learn more about exponential;
https://brainly.com/question/14344314
#SPJ7