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olya-2409 [2.1K]
2 years ago
9

Find the missing side lengths. Leave your answers as radicals in simplest form.

Mathematics
1 answer:
Leto [7]2 years ago
4 0

9514 1404 393

Answer:

  • x = 18
  • y = 9

Step-by-step explanation:

The ratios of side lengths in a 30°-60°-90° triangle are ...

  1 : √3 : 2

In the same order, the given side lengths are ...

  y : 9√3 : x

Comparing these two sets of ratios, we see that we can make the first equal to the second by multiplying by 9:

  9(1) : 9√3 : 9(2) = y : 9√3 : x

Then y = 9·1 = 9, and x = 9·2 = 18.

The missing side lengths are x = 18, y = 9.

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Lelu [443]

Answer:

His answer is wrong.

Step-by-step explanation:

-4(6-R)=12  <-- Since R is negative, -4 times -R results in a positive so, 4R.

-24+4R=12

+24       +24

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

4R = 36

R= 9

4 0
3 years ago
Hello! There is a picture attached this is simplifying fractions and I’m really confused and I just need help please and thank y
kari74 [83]

Answer:

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Step-by-step explanation:

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5 0
3 years ago
. If a car can travel 38 miles on 2.4 gallons of gas, how many miles could the car travel on 6 gallons of gas?
lilavasa [31]

Answer:

About 95 miles

Step-by-step explanation:

Let's set up a proportion using the following set up:

miles / gallons = miles / gallons

We know the car can travel 38 miles on 2.4 gallons of gas.

38 miles / 2.4 gallons = miles/ gallons

We don't know how far the car can travel on 6 gallons. Therefore, we can say the car travels x miles on 6 gallons of gas.

38 miles / 2.4 gallons = x miles /6 gallons

38/2.4=x/6

We want to find x (miles for 6 gallons). Therefore, we must isolate x.

x is being divided by 6. The inverse of division is multiplication. Multiply both sides by 6.

6*(38/2.4)=(x/6)*6

6*(38/2.4)=x

6*15.8333333=x

94.9999998=x

Let's round to the nearest whole number. The 9 in the tenth place tells us to round up.

95 ≈x

x ≈95 miles

The car can travel about 95 miles on 6 gallons of gas.

6 0
3 years ago
The latitude at Machu Picchu is -13.16315098.
Tanya [424]

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Step-by-step explanation:

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3 0
1 year ago
An office supply company ordered 24 cartons of specialty paper. The regular price for a carton of specialty paper is $6.88. The
cupoosta [38]

Given :

An office supply company ordered 24 cartons of specialty paper.

The regular price for a carton of specialty paper is $6.88.

The company received a discount of $1.75 off each carton.

To Find :

Total amount company pay for paper.

Solution :

Discounted price of each carton , d = $(6.88-1.75) = $5.13.

Total price company has to pay , T=24d

T=24\times 5.13\\\\T=\$123.12

Hence , this is the required solution.

3 0
3 years ago
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