All categories

3 years ago

If these two shapes are similar, what is the measure of the missing length z?

Mathematics

1 answer:

Airida [17]3 years ago

7 0

Answer:

z = 10 mm

Step-by-step explanation:

$\frac{z}{15} =\frac{40}{60\\}$

$z * 60 = 40 * 15$

$60z = 600$

$z = 10\\$

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

3 years ago

Can someone explain/show me how to do this?Absolute Value Functions

dedylja [7]

Domain: -∞<x<∞
Range: -∞<x<∞
X-Intercept: x=0
Y-Intercept: y=0
Increasing on the interval of 0<x<∞
Decreasing on the interval of -∞<x<0

When A=0, the graph equals y=0
- When A is greater than 1, it makes the graph skinnier than f(x)=|x|
- When A is less than 1 but greater than 0, it makes the graph fatter than f(x)=|x|
- When A turns negative, it flips the graph upside down.

-When B is greater than 0, it translates the graph to the right
- When B is less than 0, it translates the graph to the left

When C is greater than 0, the graph moves upwards
When C is less than 0, the graph moves downwards

3 0

3 years ago

In a survey of 150 students at Kennedy Middle School, 48% said

BigorU [14]

Answer:

660 people

Step-by-step explanation:

48% people prefer thick pizza

1 375 people x 48% = 660

6 0

2 years ago

20 feet minus 10 inches= ? inches

Ann [662]

I think it's 230 inches
Cheers :3

3 0

3 years ago

Read 2 more answers

It takes 1.5 hours for jayson to mow a lawn. Linda can mow the same lawn in 2hrs. How long with it take them, working together,

Nataly [62]

1.75 hours, add them up and divide by two and you get your answer

8 0

3 years ago