All categories

3 years ago

1

Mathematics

1 answer:

lidiya [134]3 years ago

8 0

Answer:

x = 73.8

Step-by-step explanation:

to find the blue line:

tan(50) = 41/a

a = 41/tan(50)

a = 34.4 to 1 decimal place

to find x:

tan(65) = x/34.4

x = 34.4tan(65)

x = 73.8 to 1 decimal place

You might be interested in

A sphere and a cylinder have the same radius and height. The volume of the cylinder is 21m. what is the volume of the sphere.

Goshia [24]

Answer:

The volume of the sphere is 14m³

Step-by-step explanation:

Given

Volume of the cylinder = $21m^3$

Required

Volume of the sphere

Given that the volume of the cylinder is 21, the first step is to solve for the radius of the cylinder;

Using the volume formula of a cylinder

The formula goes thus

$V = \pi r^2h$

Substitute 21 for V; this gives

$21 = \pi r^2h$

Divide both sides by h

$\frac{21}{h} = \frac{\pi r^2h}{h}$

$\frac{21}{h} = \pi r^2$

The next step is to solve for the volume of the sphere using the following formula;

$V = \frac{4}{3}\pi r^3$

Divide both sides by r

$\frac{V}{r} = \frac{4}{3r}\pi r^3$

Expand Expression

$\frac{V}{r} = \frac{4}{3}\pi r^2$

Substitute $\frac{21}{h} = \pi r^2$

$\frac{V}{r} = \frac{4}{3} * \frac{21}{h}$

$\frac{V}{r} = \frac{84}{3h}$

$\frac{V}{r} = \frac{28}{h}$

Multiply both sided by r

$r * \frac{V}{r} = \frac{28}{h} * r$

$V = \frac{28r}{h}$ ------ equation 1

From the question, we were given that the height of the cylinder and the sphere have equal value;

This implies that the height of the cylinder equals the diameter of the sphere. In other words

$h = D$ , where D represents diameter of the sphere

Recall that $D = 2r$

So, $h = D = 2r$

$h = 2r$

Substitute 2r for h in equation 1

$V = \frac{28r}{2r}$

$V = \frac{28}{2}$

$V = 14$

Hence, the volume of the sphere is 14m³

4 0

3 years ago

Read 2 more answers

Please help and thank you

masya89 [10]

Answer:

B. 407

Step-by-step explanation:

equation: y= A(1- r/n)^nt

y=471(1-(.07/1))^1(2)

you should get 407.37 as your answer

3 0

3 years ago

Read 2 more answers

The questions on a test consist of 10 multiple choices, 3 essays, and 9 free responses. If the questions are ordered randomly, w

stepladder [879]

Answer:

$\frac{9}{22}$

Step-by-step explanation:

add all qestions together 10+3+9=22

and put the number of free responces on top of the total number of qestions

$\frac{9}{22\\}$

and you cant simplify it so its in its simplist form

3 0

2 years ago

What is the y intercept

kati45 [8]

The equation of any straight line, called a linear equation,can be written as:y=mx+b, where m is the slope is the slope of the line and b is the y intercept. The y- intercept of the line is the value of y at the point where the line crosses the y axis.
I hope this helps :)

7 0

3 years ago

Mr. Rush wants to store 20.5 cups of spaghetti sauce in containers. Each container holds a maximum of 2.5 cups of sauce. What is

Natali5045456 [20]

The answer is 9

Explanation:

We know the total amount of spaghetti sauce is 20.5 cups; additionally, each container can be filled with a maximum of 2.5 cups of this sauce. In this context, the process to know the number of containers Mr. Rush needs to store all the sauce is to divide the total amount by the amount each container can hold.

20.5 cups of sauce ÷ 2.5 cups per container = 8.2 containers

This means 8 containers can be completely filled and a ninth container is required to hold the small amount of the sauce missing (0.2)

6 0

3 years ago