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bezimeni [28]
4 years ago
15

What is the measure of <R? ​

Mathematics
1 answer:
Verdich [7]4 years ago
7 0

Answer:

<R=23°

Step-by-step explanation:

The sum of angles in a triangle is 180°

So, <R + <S + <T = 180°

<R+90°+67°=180°

<R+157°=180°

<R=23°

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Four hundred sixty-nine and eight hundredths can also be written as ​
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Answer:469.08

Step-by-step explanation:

3 0
3 years ago
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Anju's office uses paper cups shaped like cones to serve water. Each cup has a maximum diameter of 8 cm and a height of 10 cm. A
Charra [1.4K]

Answer: 126 cubic centimeters

Step-by-step explanation:

volume = (pi)(r^2)(1/3)(h)

diameter = 8 so radius = 4

4 squared is 16

multiply height by 3/4

10(3/4) = 30/4 = 15/2

Multiply this value by 1/3

15/2 x 1/3 = 15/6 = 5/2

(pi)(25)(5/2)

16x5/2 = 80/2 = 40

(pi)(40)

note: you can substitute 3.14 with pi or use actual pi depending on whether or not you have access to a calculator. they will both round to 196.

126 cubic centimeters

3 0
3 years ago
What is the solution to the inequality?<br><br> −4x−8&gt;−20
Sliva [168]
<span>−4x−8>−20
Add 8 to both sides
-4x>-12
Divide both sides by -4
Final Answer: x<3</span>
4 0
3 years ago
The speed limit sign on the freeway said 110 kilometers per hour, but the speedometer on Cesar's car is calibrated in miles per
Lisa [10]

Answer:

68.2 miles per hour

Step-by-step explanation:

Speed limit = 110 kilometers per hour

1 kilometer = 0.62 miles

110 kilometers = x miles

Cross product

1*x = 0.62*110

x = 68.2 miles

Cesar should drive at 68.2 miles per hour to avoid a speeding ticket

110 kilometers per hour = 68.2 miles per hour

6 0
3 years ago
What are the solution(s) of x2-4-0?<br><br> X=-4 or X-4<br> X=-2 or X= 2<br> X=2<br> X=4
Molodets [167]

Answer:

X = - 2 or X = 2

Step-by-step explanation:

*completing the square*

X^2 - 4 = 0

X^2 = 4

X = +-√4

x = +-2

x= -2, 2

*factoring*

X^2 - 4 = 0

(x-2)(x+2) = 0

|. |

x = 2, x = -2

________________________________

(x-2)(x+2) = x(x+2) - 2(x+2) = x^2 + 2x - 2x - 4 = x^2-4

5 0
3 years ago
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