All categories

2 years ago

Find the area of the figure. A-56cm^2 B-88cm^2 C-112cm^2 D-384cm^2

Mathematics

1 answer:

julia-pushkina [17]2 years ago

4 0

firstly find the area of the square which is sidexside=8x8=64cm^2
then find the area of the triangle which is 1/2xbasexhight=1/2x8x6=24cm^2
THEN add both areas (64+24)=88cm^2

You might be interested in

cylinder shaped can needs to be constructed to hold 200 cubic centimeters of soup. The material for the sides of the can costs 0

Dafna11 [192]

Answer:

Radius=2.09 cm

Height,h=14.57 cm

Step-by-step explanation:

We are given that

Volume of cylinderical shaped can=200 cubic cm.

Cost of sides of can=0.02 cents per square cm

Cost of top and bottom of the can =0.07 cents per square cm

Curved surface area of cylinder= $2\pi rh$

Area of circular base=Area of circular top= $\pi r^2$

Total cost,C(r)= $0.02\times 2\pi rh+2\pi r^2\times 0.07$

Volume of cylinder, $V=\pi r^2 h$

$200=\pi r^2 h$

$h=\frac{200}{\pi r^2}$

Substitute the value of h

$C(r)=0.02\times 2\pi r\times \frac{200}{\pi r^2}+2\pi r^2\times 0.07$

$C(r)=\frac{8}{r}+0.14\pi r^2$

Differentiate w.r.t r

$C'(r)=-\frac{8}{r^2}+0.28\pi r$

$C'(r)=0$

$-\frac{8}{r^2}+0.28\pi r=0$

$0.28\pi r=\frac{8}{r^2}$

$r^3=\frac{8}{0.28\pi}=9.095$

$r=(9.095)^{\frac{1}{3}}=2.09$

Again, differentiate w.r.t r

$C''(r)=\frac{16}{r^3}+0.28\pi$

Substitute the value of r

$C''(2.09)=\frac{16}{(2.09)^3}+0.28\pi=2.63>0$

Therefore,the product cost is minimum at r=2.09

h= $\frac{200}{\pi (2.09)^2}=14.57$

Radius of can,r=2.09 cm

Height of cone,h=14.57 cm

4 0

2 years ago

ASAP PLEASE ASAP PLEASE ASAP PLEASE ASAP PLEASE Ms. Perkins wants to rent a car for a day. It will cost the daily fee of $75 plu

m_a_m_a [10]

Part A would be $75+.$55m and part B would be $165 +$75=$240

7 0

2 years ago

How many feet are in 9 meters? <br> 1 m = 3.3 ft<br><br><br>9 m = [?] ft

sukhopar [10]

9 x 3.3 ft = 29.7 feet

8 0

2 years ago

Read 2 more answers

At a factory, a mechanic earns $17.25 an hour. The president of the company earns 6 3/4 times as much for each hour he works. Th

Law Incorporation [45]

Find how much each earns

pres =6 and 3/4 times mec pay=17.25 times 6.75=116.4375, about $116.44
janitor is 3/4 or 0.75 of janitor=17.25 times 0.75=12.9375, about $12.94

add them

$17.25+$116.4275+$12.9375=146.615
round
$146.62

7 0

3 years ago

Read 2 more answers

Which proportion could be used to find 77% of 126?.

ss7ja [257]

The answer is D hope it help

5 0

2 years ago

Read 2 more answers