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Rudik [331]
3 years ago
12

Find the length of the third side of each triangle mark

Mathematics
1 answer:
Sedaia [141]3 years ago
5 0

Answer:

I'm going to use the Pythagoras theorem

1. hypotenus²= base²+height²

h²=80²+18²

h²=6400+324

√h²=√6724

hypotenuse= 82

2. 53²=45²+h²

2809=2025+h²

2809-2025=h²

784=h²

√784=√h²

h=28

3. 40²=b²+24²

1600=b²+576

1600-576=b²

√1024=√b²

b= 32

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X+2(x+3(x+4(x+5)))=153
Allushta [10]

Answer:

x=1

Step-by-step explanation:

Here first open the inner parentheses and use the distributive property,

4(x+5)=4x+20\\\\(x+4(x+5))=(x+4x+20)=(5x+20)\\\\3(x+4(x+5))=3(5x+20)=15x+60\\\\(x+3(x+4(x+5)))=(x+15x+60)=16x+60\\\\2(x+3(x+4(x+5)))=2(16x+60)=32x+120\\\\x+2(x+3(x+4(x+5)))=x+32x+120=33x+120\\\\\\Hence\ x+2(x+3(x+4(x+5)))=x+32x+120=33x+120\\\\\Rightarrow 33x+120=153\\\\33x=153-120\\\\33x=33\\\\x=1

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3 years ago
Keri is making a doll clothes for a holiday craft show. The wholesale cost of the materials for one outfit is $9.38. If she sell
irinina [24]

Answer:

60%

Step-by-step explanation:

If I get you right, you're asking for the percentage gain to the nearest percentage, right?

Now to do this, we need to get the amount of profit she made. That's quite easy, we only need to subtract the cost price from the selling price. And that equals $15 - $9.38 that equals $5.62.

Now, we divide this value by the cost price and multiply by 100% to get the percentage gain.

I.e 5.62/9.38 × 100%.

That gives 59.9% , which equals 60% when approximated to the nearest percentage.

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3 years ago
A number cube is rolled and a coin is tossed. What is the probability of the coin landing on tails and rolling a six on the numb
AVprozaik [17]
1/2 and 1/6 because there is heads and tails and to get probability of tails it is 1/2 and you can get 6 only one time so 1/6
3 0
3 years ago
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Which of the following values for x and y make the equation 4x + 2y + 3 = 19 true?
Alex_Xolod [135]
The third one is correct so it would be C.

Just substitute X and Y into the question.
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3 years ago
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