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2 years ago

Can y’all please help me

Mathematics

1 answer:

chubhunter [2.5K]2 years ago

8 0

Answer:

the answer is 27cm cubed

Step-by-step explanation:

formula for volume of a rectangular prism is length x width x height and 3 x 3= 9 and 9 x 3 =27

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∠G and ∠H are supplementary; m∠G = (x + 4)° and m∠H = (4x + 11)°. What is the measure of ∠G? What is the measure of ∠H?

iogann1982 [59]

Answer:

∠G = 37°

∠H = 143°

Step-by-step explanation:

As we know ,

Sum of supplementary angles is 180 degrees.

Hence sum of ∠G and ∠H is also 180 degrees

∠G + ∠H = 180

Substituting the given values in above equation, we get -

$(X+4) + (4X +11) = 180\\5X + 15 = 180\\5X = 165\\X = 33$

∠G = (x + 4)° = (33 + 4)° = 37°

∠H = (4x + 11)° = (33*4 + 11)° = 143°

3 0

2 years ago

Can someone help me solve these three problems please??

Tasya [4]

I'll solve 21, and you then should be able to solve the rest on your own!

Since ADC is 135, that means that that whole angle is 135 degrees. In addition, since angles ADB and BDC add up to ADC, we get ADB+BDC=ADC=135=11x+9+7x=18x+9. Subtracting 9 from both sides, we get 126=18x. Dividing both sides by 18, we get x=7. Plugging that into 11x+9=BDC, we get 11*7+9=77+9=86

4 0

3 years ago

Suppose it takes 45 hours for robot A to construct a new robot. Working together with robot B, it takes 25 hours for both robots

Len [333]

Answer:

56 hours 25 minutes

Step-by-step explanation:

Given:

Suppose it takes 45 hours for robot A to construct a new robot

It takes 25 hours for both robots to construct a new robot.

Question asked:

How long would it take robot B to construct a new robot, working alone ?

Solution:

Let the time taken by robot B to construct new robot = $x$

By robot A

It takes 45 hours to construct = 1 new robot

It takes 1 hour to construct = $\frac{1}{45} \ new\ robot$

By robot B

It takes $x$ hours to construct = 1 new robot

It takes 1 hour to construct = $\frac{1}{x}$ new robot

By working together

It takes 25 hours to construct = 1 new robot

It takes 1 hour to construct = $\frac{1}{25} \ new\ robot$

$\frac{1}{25}$ new robot is constructed in = 1 hour

New robot is constructed by both working together in 1 hour = New robot is constructed by robot A in 1 hour + New robot is constructed by robot B in 1 hour

$\frac{1}{25} =\frac{1}{45} +\frac{1}{x} \\$

Subtracting both sides by $\frac{1}{45}$

$\frac{1}{25}-\frac{1}{45} =\frac{1}{45} -\frac{1}{45}+\frac{1}{x} \\\\\frac{1}{25}-\frac{1}{45} =\frac{1}{x}\\\\ Taking\ LCM \ of \ 25\ and\ 45,\ we\ got\ 225$

$\frac{9-5}{225} =\frac{1}{x} \\ \\ \frac{4}{225} =\frac{1}{x}\\\\ By\ cross \ multiplication\\4\times x=225\\Dividing\ both\ sides\ by\ 4\\x=56.25\ hours$