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poizon [28]
3 years ago
5

A carpenter can build a cabinet in three hours at this rate how long will it take for the carpenter to build 26 cabinets

Mathematics
1 answer:
Ludmilka [50]3 years ago
8 0

Answer: 78 hours

Step-by-step explanation:

1 cabinet = 3 hours

26 cabinets= 78 hours

We must multiply 26 by 3 to get the total amount of hours.

26x3=78

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An isosceles triangle has base angles that each measure 39 °. Which equation can be used to fi nd t, the measure of the third an
Montano1993 [528]

Answer: 102°

Step-by-step explanation:

First and foremost, we should note that an isosceles triangle has two sides that are equal and that the sum of angles in a triangle equals to 180°.

Since we are told that the isosceles triangle has base angles that each measure 39°, the third angle will be:

t + 39° + 39° = 180°

t + 78° = 180°

t = 180° - 78°

t = 102°

The third angle is 102°.

5 0
3 years ago
A building is of unknown height. At a distance of 400 feet away from the building, an observer notices that the angle of elevati
Harman [31]

Given :

A building is of unknown height. At a distance of 400 feet away from the building .

An observer notices that the angle of elevation to the top of the building is 35º and that the angle of elevation to a poster on the side of the building is 15º .

To Find :

How far is the poster from the roof of the building .

Solution :

Height is given by :

h=d\times tan\theta

( Here , \theta is angle of elevation )

So , height of tower :

H=400\times tan 35^o\\\\H=280.08 \ feet

For height of poster :

h=400\times tan 15^o\\\\h= 107.18\ feet

Therefore , distance of poster from the roof of the building is :

( 280.08-107.18)  =  $$172.9\ feet

Hence , this is the required solution .

7 0
4 years ago
Which of the following illustrates the truth value of the given statements?
bekas [8.4K]

Answer:

T and F

Step-by-step explanation:

Hi! Maybe I am reading it wrong, but only 2 statements are given. The answer to these statements are true and false.

"A square root of 16 is 4."

4^{2} =16

4 squared, or 4 * 4 is equal to 16, and therefore this is true.

"The only square root of 9 is -3."

This is false. 9 has 2 square roots: 3 and -3.

3^{2} =9\\-3^{2} =9

3 * 3 = 9, and so does (-3) * (-3).

So we have T and F, which eliminates the second, third, and fourth choices, which means even without a last statement, A is your correct answer.

Hope I helped! :)

3 0
3 years ago
A 79-tooth gear drives a smaller gear which has 42 teeth. If the larger gear rotates at 316 rpm, what is the speed of the smalle
Tresset [83]

Answer:

594 rpm

Step-by-step explanation:

Two gears will have the same linear speed, so:

v₁ = v₂

ω₁ r₁ = ω₂ r₂

(316 rpm) (79) = ω (42)

ω ≈ 594 rpm

5 0
3 years ago
Jeff as a collection of hockey cards. His brother Steve had 10 more cards than Jeff. Steve gave Jeff all of his cards. Jeff ende
lesya [120]

Answer: 491 cards

Step-by-step explanation:

Given

Steve had 10 more cards than Jeff

Suppose Jeff has x cards

So, steve has x+10 cards

Steve handover his cards to Jeff

Now, Jeff has x+x+10=2x+10 cards

It must be equal to 992

\Rightarrow 2x+10=992\\\Rightarrow 2x=982\\\Rightarrow x=491\ \text{cards}

Jeff started with 491 cards

6 0
3 years ago
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