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Triss [41]
3 years ago
5

In ΔSTU, the measure of ∠U=90°, the measure of ∠S=84°, and ST = 87 feet. Find the length of TU to the nearest tenth of a foot.

Mathematics
1 answer:
Amanda [17]3 years ago
3 0

Answer:

TU=86.5 feet

Step-by-step explanation:

We are given with <U is 90 degrees. It means it is a right triangle.

So, we can use trigonometric ratio to solve.

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Find area of the composite figure..
saveliy_v [14]

Answer:

627square inches

Step-by-step explanation:

Area of the composite figure.. = area of triangle + area of parallelogram

Since the triangle is an equilateral triangle;

Area of the triangle = r²sintheta

Area of the triangle = 18²sin60

Area of the triangle = 324sin60

Area of the triangle  = 324(0.8860)

Area of the triangle = 280.584 square in

Area of the triangle = 281 square inches

Area of parallelogram = absintheta

Area of parallelogram = 20(20)sin60

Area of parallelogram = 400(0.8660)

Area of parallelogram = 346.4square inches

Area of parallelogram = 346 square inches

Area of the figure = 346  + 281

Area of the figure  = 627square inches

3 0
3 years ago
A man gained rs. 3000 by selling a mobile set allowing 15 % discount on the marked price the loss would be rs. 8000. Find the ma
irinina [24]

Answer:

Marked price is Rs. 53333.33 and the cost price is Rs. 42333.33.

Step-by-step explanation:

Let Rs. x and Rs. y are the cost price and marked price of the mobile set respectively.

Now, the man has a loss of Rs. 8000 after giving a 15% discount on the marked price.

Therefore, 15% of y is 8000 i.e. 8000 = \frac{y\times 15}{100}

⇒ y = Rs. 53333.33

Now, the man gained Rs. 3000 by selling the mobile set allowing 15% discount on the marked price.

Therefore, the mobile set has the cost price = x = Rs. [(53333.33 - 8000) - 3000] = Rs. 42333.33 (Answer)

3 0
3 years ago
What is the difference of the two expressions?
valkas [14]

<em>Answer is x + 12</em>

<em />

<h2>Explanation:</h2>

Hello! Recall that you have to write clear questions in order to get exact answers. So I'll help you assuming that the two expressions are the following:

First expression:

2x+9

Second expression:

x-3

So the operation we need to perform is:

2x+9-(x-3)

Recall some rules:

(+)\times (+)=+ \\ \\ (-)\times (-)=+ \\ \\ (-)\times (+)=- \\ \\ (+)\times (-)=-

Hence:

2x+9-(x-3)=2x+9-x+3 \\ \\ \\ Combine \ like \ terms: \\ \\ (2x-x)+(9+3) \\ \\ \boxed{x+12}

<h2>Learn more:</h2>

Simplify: brainly.com/question/1291365

#LearnWithBrainly

8 0
3 years ago
56 is what percent of 80
Alik [6]

Answer:

70%

Step-by-step explanation:

Therefore, we can conclude that the required percentage is 70% that is 70% of 80 is 56.

<em>Hopes This Helps :)</em>

3 0
3 years ago
How much does 12 go into 11
Anni [7]
It goes into it 0 times but what you can do is 11 going into 12 which would give you 1.1 instead of you making it a remainder. <span />
6 0
3 years ago
Read 2 more answers
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