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2 years ago

Please Help Asap!!!!

Mathematics

1 answer:

nydimaria [60]2 years ago

7 0

Answer:

See explanation

Explanation:

A full circle is 360 degrees, so half a circle (what it shown) is 180 degrees.
Ángels EFG and GFH together make 180 degrees. So if Angle EFG is 125, then subtract 125 from 180, which is 55 degrees.

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There is 1000cm3 of aluminum available to cast a trophy that will be in the shape of a right square pyramid. Is this enough alum

stealth61 [152]

The 1000 cubic centimeters of aluminium is enough for aluminium a trophy that will be in the shape of a right square pyramid and has a base edge of 10 cm and a slant height of 13 cm.

Step-by-step explanation:

The given is,

Volume of aluminium available is 1000 cubic centimeters

Shape of trophy is right square pyramid

Trophy has a base edge of 10 cm and slant height of 13 cm

Step:1

Formula for volume of right square pyramid,

$Volume, V = a^{2}\frac{h}{3}$ .....................................(1)

Where, a - Base edge value

h - Height of pyramid

From given,

a = 10 cm

h = 13 cm

Equation (1) becomes,

$= 10^{2}(\frac{13}{3} )$

$= (100)(4.333)$

$= 433.33 cm^{3}$

Volume of trophy = 433.33 cubic centimeters

Compare with the volume of available aluminium and volume of right square pyramid,

$Volume of available aluminium > Volume of right square pyramid$

$1000 cm^{3} > 433.33 cm^{3}$

So, the given volume of aluminium is enough to make right square pyramid shaped trophy.

Result:

The 1000 cubic centimeters of aluminium is enough for aluminium a trophy that will be in the shape of a right square pyramid and has a base edge of 10 cm and a slant height of 13 cm.

6 0

3 years ago

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A cellphone company offers four choices for purchasing talk time. Which of the following has the lowest cost per minute?

g100num [7]

H you divide 80.50/700 and will give you the rate for minute

8 0

3 years ago

Use the law of Sines to find the missing angle of the triangle. <br> Find m

Whitepunk [10]

Ah...Trigonometry is fun!

The law of sines states:
$\frac{sinA}{a}= \frac{sinB}{b} = \frac{sinC}{c}$
The transitive property (switching the orders of the equations) applies here. Therfore, we can say that $\frac{sinA}{a}=\frac{sinC}{c}$

We then plug in our given values to find C

$\frac{sin24}{77}=\frac{sinC}{162}$
$\frac{162*sin24}{77}=sinC$
Solving, we get 0.8557316387. We're not done yet!

We are trying to find an angle measure, so we'll do the inverse of the ratio we used (sin).

arcsin0.8557316387 (arcsin is the same as inverse sin)
=58.8 (approximate)

So the measure of angle C is 58.8. You could check this by reinserting it into the equation $\frac{sinA}{a}= \frac{sinB}{b} = \frac{sinC}{c}$ .

:)

6 0

3 years ago

PLEASE SOMEONE HELP ME ILL MARK BRAINLESS AND PLEASE EXPLAIN AHHHH HELP

Nimfa-mama [501]

<h3>Answer: 100 degrees</h3>

===============================================================

Explanation:

The two angles that involve x are alternate interior angles.

Due to the parallel lines, the alternate interior angles are equal.

We'll use this to solve for x

-7x-18 = -9x-46

-7x+9x = -46+18

2x = -28

x = -28/2

x = -14

Let's check the answer by evaluating each expression as shown below

-7x-18 = -7*(-14)-18 = 80
-9x-46 = -9*(-14)-46 = 80

Both angles are 80 degrees each, so it confirms we have the correct x value.

-----------------------

We have one last step. We found the -9x-46 angle to be 80 degrees. Angle 4 is adjacent to this and supplementary.

So we subtract from 180 to get the answer

180-80 = 100

6 0

3 years ago

A lock on a fence door has a 4 digit combination. Each digit can be any number

Bas_tet [7]

Answer:

D. 9990 possible combinations

Step-by-step explanation:

The first digit has 10 choices (can be all of them), the second digit also has 10 choices. The third and fourth digits also have 10 choices.

Multiply them together you get 10*10*10*10 = 10000 possible combinations.

But since all 4 characters cannot be the same, we subtract 10 from 10000 (there are 10 combinations which the 4 characters are the same: 1111, 2222, 3333, 4444, 5555, 6666, 7777, 8888, 9999, and 0000) and we get 9990.

6 0

4 years ago

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