1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
SVETLANKA909090 [29]
2 years ago
7

What is the area of the figure ?

Mathematics
2 answers:
nlexa [21]2 years ago
6 0

Answer:

70 cm^2

Step-by-step explanation:

The area of square is 5×10=50 plus the square of triangle, high of triangle is 18-10=8 and base of triangle is 5 because it common base with square, so the square of triangle is 1/2(8)(5)=20

The total area is 50+20=70 cm^2

Gelneren [198K]2 years ago
3 0

Answer:  The correct option is (C) 70 cm².

Step-by-step explanation:  We are given to find the area of the figure shown in the picture.

We note that the figure is composed of rectangle and a triangle.

The length and width of the rectangle are

l = 10 cm  and  w = 5 cm.

So, the area of the rectangle is

A_r=l\times w=10\times5=50~\textup{cm}^2.

The base (b) of the triangle is 5 cm and the height (h) is  

h = 18 - 10 = 8 cm.

So, the area of the triangle is

A_t=\dfrac{1}{2}bh=\dfrac{1}{2}\times5\times8=20~\textup{cm}^2.

Therefore, the area of the figure is given by

A=A_r+A_t=50+20=70~\textup{cm}^2.

Thus, the required area of the given figure is 70 cm².

Option (C) is CORRECT.

You might be interested in
[25 POINTS] A cylinder has a volume of 400π cm3. Find the dimensions that minimize its surface area.
miss Akunina [59]

Answer:

r = 5.848cm, h = 11.696cm

Step-by-step explanation:

Surface area: SA=2\pi rh+2\pi r^2

Volume: V=\pi r^2h

Therefore, the height of a cylinder given its volume would be h=\frac{V}{\pi r^2}, thus:

SA=2\pi r(\frac{V}{\pi r^2})+2\pi r^2\\\\SA=\frac{2V}{r}+2\pi r^2\\\\SA=\frac{2(400\pi)}{r}+2\pi r^2\\\\SA=\frac{800\pi}{r}+2\pi r^2

We now find the derivative of the surface area of the cylinder with respect to its radius and set it equal to 0, solving for the radius:

\frac{d(SA)}{dr}=-\frac{800\pi}{r^2}+4\pi r

0=-\frac{800}{r^2}+4\pi r

0=800\pi+4\pi r^3

-800\pi=4\pi r^3

-200=r^3

r\approx5.848

If 0If [tex]r>5.848, then the surface area of the cylinder increases

Therefore, the surface area is minimized when the radius is r=5.848cm, making the minimum height h=\frac{V}{\pi r^2}=\frac{400\pi}{\pi(5.848)^2}\approx11.696cm.

In conclusion, the 2nd option is correct.

3 0
2 years ago
Which pairs of polygons are similar?<br> Select each correct answer
kotegsom [21]

Answer:

Left column:

1 & 2

right column:

1 & 2

pls mark me brainliest!!!

6 0
3 years ago
Let y=f(x) be the particular solution to the differential equation dy/dx=2x−1/y^2 with the initial condition y(0)=3. Which of th
yan [13]

Answer:

24

Step-by-step exp

Because thats the answer

3 0
3 years ago
Josh can clean the math building on his campus in 2 hours. Ken takes 23 hours to clean the same building. If they work​ together
ANTONII [103]

Answer:

1.84 hr.

Step-by-step explanation:

7 0
3 years ago
What is the decimal for 4/100?<br> What is the Answer
soldier1979 [14.2K]

Answer:

0.04

Step-by-step explanation:

Have a nice day!

6 0
2 years ago
Read 2 more answers
Other questions:
  • Graph the line y = -5/4x-3
    12·1 answer
  • How to multiply complex fractions​
    7·1 answer
  • Calculate the inverse of the matrix and find the values for a, b, c, and d:
    12·1 answer
  • Work out radius of 1.43 x 10^5
    10·1 answer
  • F(x) = x2 + 8, g(x) = 5x - 2.
    13·1 answer
  • Tìm cực trị của hàm số z(x,y)=x^{3}+y^{3}+3xy-30
    6·1 answer
  • Lorenzo had 5 7/8 ft of lumber. He used 3 5/12 ft to make some shelves. About how much lumber does he have left?
    8·2 answers
  • G(x)=−4x+4, find g(3)
    15·1 answer
  • Please help!! will mark branliest
    6·1 answer
  • Can someone please explain how <img src="https://tex.z-dn.net/?f=%283%5E%7B%5Cfrac%7B1%7D%7B5%7D%20%7D%20%29%5E%7B2%7D" id="TexF
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!