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REY [17]
3 years ago
6

4. A triangle has a 90° angle and two sides that measure 5 cm in length. Which statements are true about this triangle? Select a

ll that apply. A. The triangle must be an isosceles triangle. B. The triangle must be an equilateral triangle. C. The triangle must be a right triangle. D. The triangle must be an acute triangle. E. The triangle must contain an angle measuring 45° F. The third side of the triangle might be 10 cm in length.​
Mathematics
1 answer:
n200080 [17]3 years ago
4 0

Answer:

options a) and c) are correct,

Step-by-step explanation:

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3 years ago
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A book costs $12.50 plus sales tax. After tax it costs $13.25. What is the sales tax rate?
WINSTONCH [101]

Answer:

The rate of sales tax is 6%.

Step-by-step explanation:

First you must subtract 12.50 from 13.25

This brings you to .75

Then, divide .75/12.50 to get 0.06 which is equivalent to 6 percent.

6 0
3 years ago
Consider a coordinate system in which the positive x axis is directed upward vertically. What are the positions of a particle (a
Elena L [17]

Answer:

a) (5,0)

b) (2,0)

Step-by-step explanation:

(a) A particle that lies 5.0 m directly above the origin would have its x-coordinate be 5 and its y-coordinate be 0. So (5,0).

(b) A particle that lies 2.0 m directly below the origin would have its x-coordinate be 2 and its y-coordinate be 0. So (2,0).

3 0
4 years ago
6. A ship is on the surface of the water, and its radar detects a submarine at a distance of
Minchanka [31]

Answer:

the submarine is 92.994 feet ≈ 93 feet deep from the surface of the water

Step-by-step explanation:

We can think in a triangle where the hypotenuse is the detection distance and the angle with the horizontal surface of water is the depression angle, then the underwater distance is the vertical side of the triangle.

If we denote Ф  as the angle of depression ,d as the detection distance and x as the unknown depth of the submarine, using trigonometry:

x = d* sin Ф

thus

x=  d * sin Ф = 238 feet * sin 23° = 92.994 feet ≈ 93 feet

7 0
3 years ago
The sum of 5 consecutive even numbers is 216. What is the third number in the sequence
alexandr1967 [171]

Hello from MrBillDoesMath!

Answer:  NO solution possible!


Steps:

Let "n" be the first even number. We are told that


n + (n+2) + (n+4) + (n+6) + (n +8)  = 216


The third number, the value we want, is boldfaced above.


Simplify the above equation:

5n + ( 2 + 4 + 6 + 8 ) = 216   or


5n +  20  = 216  or

5n = 196


n = 196/5   is NOT an integer value.  This problem, as stated, has no solution.

Regards, MrB

4 0
4 years ago
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