The figures are similar. find the area.
the area of rectangle is 72 square inches. a diagonal of rectangle is 12 inches and the diagonal of rectangle is 18 inches. find the area of rectangle . round to the nearest square inch if necessary.
question 10 options:
108 in
216 in
864 in
162 in

108 in

Step-by-step explanation:

The figures are similar, so if we find a relation of the area and the diagonal in rectangle 1  we can apply it to rectangle 2.

rectangle 1 :

72/x=12

x=6

therefore

72/6=12

rectangle 2:

A/x=18

A/6=18

6*18=108

A=108 in

Hope this helps

~Lalagrl

Find the lateral area of a cylinder with the given measurements. Use 3.14 for pi and round your answer to the nearest tenth.

height: 15 centimeters

radius: 9 centimeters

Question 11 options:

787.3 cm2

1356.5 cm2

847.8 cm2

889.9 cm2

So we know the formula for the lateral area of a cylinder is:

AL=2πrh

now all we have to do is put the given value in place of the correct variable then solve like so:

AL=2*3.14*9*15

AL= 847.8 cm2

so the answer is the third option

hope this helps

~Lalagrl

step-by-step explanation:

f(x)=2x^2 -1 

translation is a function transformation that transform the function in a way of translating. by translating the function its graph is moved  up an down. moving the function f(x) 2 units to the left will be the new function g(x) with the equation: g(x)=f(x+2)=2(x+2)^2 -1

b. 1.25 hr

step-by-step explanation:

if you have a constant speed of 60 mph, then you have a ratio between 60 mi. to 1 hr. dividing both sides by 60 we get the ratio

1 mi. to

then mult. both sides by 75 we get the ratio

75 mi. to

simplifying we get

75 mi. to

or 1.25 hr.