All categories

3 years ago

1. Find the area and perimeter. NOTE: the top is a semi-circle (half-circle).

Mathematics

1 answer:

sdas [7]3 years ago

4 0

Answer:

Semicircle = $\frac{\pi x d }{2} + d$

semicircle = $\frac{\pi x 20 }{2} + 20$

semicircle = 51.4

∴ the perimeter is 14 + 32 + 51.4

∴ The perimeter is 97.4 cm

Area 1 = $\pi r^{2}$

Area 1 = 20 ÷ 2 = 10

Area 1 = $\pi 10^{2}$

Area 1 = 314.2

Area 2 = 14 × 32 = 448

Area = Area 1 + Area 2

Area = 762.2cm²

Step-by-step explanation:

You might be interested in

Luca has a box of dog toys. There are 3 bones, 5 balls, and a stuffed animal. What is the ratio of balls to stuffed animals?

Zina [86]

5:1 is your answer,
Hope this helps :)

8 0

4 years ago

Read 2 more answers

A new computer system sells for approximately $2000 and depreciates at the rate of $500 per year.

lukranit [14]

what are you asking

Step-by-step explanation:

8 0

3 years ago

Really important, this is a quiz grade. Please provide steps. :D. Will mark Brainliest

viva [34]

Karen has $30, Rafael has $75 and Shen has $25.

Step-by-step explanation:

Given,

Total amount they have = $130

Let,

Amount of Karen = x

Amount of Rafael = y

Amount of Shen = z

According to given statement;

x+y+z=130 Eqn 1

Shen has $5 less than what Karen have.

z = x-5 Eqn 2

Rafael has 3 times what Shen has;

y = 3z Eqn 3

Putting value of z from Eqn 2 in Eqn 3

$y=3(x-5)\\y=3x-15\ \ \ \ Eqn\ 4$

Putting value of y and z from Eqn 4 and 2 in Eqn 1

$x+(3x-15)+(x-5)=130\\x+3x-15+x-5=130\\5x-20=130\\5x=130+20\\5x=150$

Dividing both sides by 5

$\frac{5x}{5}=\frac{150}{5}\\x=30$

Putting x = 30 in Eqn 2

$z=30-5\\z=25$

Putting z=25 in Eqn 3

$y=3(25)\\y=75$

Karen has $30, Rafael has $75 and Shen has $25.

Keywords: linear equations, substitution method

Learn more about linear equations at:

#LearnwithBrainly

8 0

3 years ago

Please help me with math? Thanks ;D

Salsk061 [2.6K]

Answer:

Step-by-step explanation:

$\text{We have}\ a=7,\ b=24,\ c=25.\\\\\text{Substitute to}\ a^2+b^2=c^2:\\\\L_s=7^2+24^2=49+576=625\\\\R_s=25^2=625\\\\L_s=R_s\\\\\boxed{YES}$

$\text{Use the Pythagorean theorem.}\\\\a^2+b^2=c^2\\\\a=1,\ c=\dfrac{13}{5}\\\\\text{Substitute:}\\\\1^2+b^2=\left(\dfrac{13}{5}\right)^2\\\\1+b^2=\dfrac{169}{25}\qquad\text{subtract 1 from both sides}\\\\b^2=\dfrac{169}{25}-1\\\\b^2=\dfrac{169}{25}-\dfrac{25}{25}\\\\b^2=\dfrac{144}{25}\to b=\sqrt{\dfrac{144}{25}}\\\\b=\dfrac{\sqrt{144}}{\sqrt{25}}\\\\b=\dfrac{12}{5}$

7 0

4 years ago

Which mapping diagram shows the inverse of p(x)?

MA_775_DIABLO [31]

Diagram C shows the inverse of P(x).

7 0

3 years ago

Read 2 more answers