All categories

3 years ago

Help me on number.4 please

Mathematics

1 answer:

Artemon [7]3 years ago

8 0

I can do it using trigonometry.

Draw a line from O to the point where the circle touches the base line. This will be at right angles to EF and will have length 40. Then draw a line from A parallel to the base to meet OG at H.

consider triangle OAH:-

side OH = 40-25 = 15 cm

cos < AOH = 15/40 giving m < AOH = 67.976 degrees

So m < AOB = 67.976 * 2 = 135.95 degrees

in radians this is 2.37 radians (answer)

Part B:-

You might be interested in

What is the length of segment AC?

uysha [10]

Answer:

Step-by-step explanation:

5 0

3 years ago

Read 2 more answers

If 1900 square centimeters of material are available to make a box with a square base and an open top, find the largest possible

Evgen [1.6K]

Answer:

Volume = $7969$ cubic centimeter

Step-by-step explanation:

Let the length of each side of the base of the box be A and the height of the box be H.

Area of material required to make the box is equal to is $A^2 + 4*A*H.$

$A^2 + 4*A*H = 1900$

Rearranging the above equation, we get -

$`H = \frac{(1900 - A^2)}{(4*A)}$

Volume of box is equal to product of base area of box and the height of the box -

$V = A*A* H$

Substituting the given area we get -

$\frac{A^2*(1900 - A^2)}{4A} = \frac{(1900*A - A^3)}{4}$

For maximum volume

$\frac{dV}{dA} =0$

$\frac{ 1900}{4} - \frac{3*A^2}{4} = 0$

$A^2 = \frac{1900}{3}$

Volume of the box

= $\frac{\frac{1900}{3}*(1900 - \frac{1900}{3}) }{4 * \sqrt{\frac{1900}{3} } }$

= $7969$ cubic centimeter

3 0

2 years ago

A family is measuring its house in order to figure out how much paint will be

tester [92]

Answer: How much paint

The independent variable is the measuring of the house

5 0

3 years ago

The prism shown has a volume of 3,024 cm3.

Arlecino [84]

Answer:

14cm

Step-by-step explanation:

To find volume, you need to multiply the height width and length together. So when you have one missing measurement, to find it, you need to do the same steps except for put a variable for the missing measurement. And continue to do the problem as you would. Here is how I solved it.

V=12x18xH

3024=216xH (216 is 12x18)

Then to find the missing side, do 3024/216 which equals 14.

7 0

3 years ago

Read 2 more answers

Ving tomation.

jek_recluse [69]

Man i don’t know
i really donttt

3 0

2 years ago