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Umnica [9.8K]
3 years ago
6

An equiangular triangle has one side of length six inches. What is the height of the triangle, drawn from that side, to the near

est tenth of an inch?
height =
in.
Mathematics
1 answer:
Mandarinka [93]3 years ago
6 0

9514 1404 393

Answer:

  5.2 in

Step-by-step explanation:

An equiangular triangle is also equilateral. All sides will be 6 inches, and the height line will be a perpendicular bisector of the side.

Using trig, the height is ...

  (3 in)tan(60°) = 3√3 in ≈ 5.2 in

Using the Pythagorean theorem, ...

  h² = 6² -3² = 27

  h = √27 ≈ 5.2 . . . inches

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A water delivery truck is filling the water tank at Morgan's house. The truck arrived with 2400 L of water. The number of liters
Luda [366]

Answer:

11.81 minutes

Step-by-step explanation:

Here is a simple step-by-step explaination of how to solve this word problem:

Since the truck has 2,400L in it to begin with, the first part of our equation will be 2,400L

L = 2400L



Next we know that the water in the truck decreases at a <u>rate</u> of 110L/min, or <u>Liters per minute</u>.

So we will put that in the equation:

L = -110L + 2400L

Now that we have our equation set up, its time to solve.

To figure out how much water it needs to lose in <u>total</u> to end up with 1100 L left, we subtract 1,100 from 2,400.

2,400 - 1,100= 1,300&#10;&#10;

Now we can take that number and divide it by how many liters per minute were lost.

1,300/110=11.81

So the total amount of time it took for the truck to have 1,100 L left is 11.81 minutes. Your answer would be

B. L=-110t + 2400, t=11.8 min

Hope this helps! : )

3 0
2 years ago
Read 2 more answers
In triangle ABC, angle A measures 40º and angle B measures 60º. In triangle PQR, angle P measures 40º and angle Q measures 80º.
Soloha48 [4]

Answer:

Latoya's statement because they are similar not congruent

4 0
2 years ago
A. <br> B. <br> C.<br> D.<br> Please help
poizon [28]

Answer:

Clearly, the answer is 20/9, simplify it, and thats your answer! <3

<em>Hope that helped! <3</em>

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3 0
3 years ago
When using base-10 blocks to divide 452 by 2, how many hundreds flats will be in each equal group? hundreds flats Divide 452 by
daser333 [38]
<h3>Given</h3>

4 hundreds flats; 5 tens rods; 2 ones cubes

<h3>Find</h3>

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<h3>Solution</h3>

When 4 flats are divided into two equal groups, each group will have ...

... 2 flats

_____

You can imagine doing this the way a card dealer might: first put 1 flat in each of 2 piles, then do the same for the remaining 2 flats. Each pile will end up with 2 flats.

— — — — —

You will have a problem if you continue with the tens rods. There is an odd number of those, so one of them will have to be exchanged for 10 ones cubes.

8 0
3 years ago
Solve the variable in the following proportion. 3.6/y=1.2/2
Molodets [167]
Hello : 
<span>3.6/y=1.2/2
1.2 y = 2(3.6)
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