A right triangle has an hypotenuse of 155 centimeters and a leg of 124 centimeters. Which of these is the length of the other leg ?A. 93 cm
B. 97 cm
C.103 cm
D. 107 cm

Answers

Answer 1

Answer: For a right triangle, the Pythagorean theorem can be used to calculate the sides of the triangle. This theorem is expressed as: c^2 = a^2 + b^2. From th problem, we are given c which is the hypotenuse and the other leg which we will assign as the leg a. Calculation is as follows:

c^2 = a^2 + b^2
(155cm)^2 = (124cm)^2 + b^2
b= 93 cm

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As a unit rate, 137.5 miles in 2.5 hours would be _____.5.5 miles per hour
55 miles per hour
137 miles per 2 hours
343.75 miles per hour

Answers

55 miles per hour

hope this helps

Divide miles by hours
137 miles per 2 hours
so you get 55

Find the exact Solution of x.x^2 = 16

A)x = 4
B)x = -4
C)x = ±4
D)No Solution

Answers

$x^(2)$ = 16

First, take the square root to both sides.
$x =$ ± $√(16)$
Second, now we have 4 × 4 which is 16, meaning the square root of 16 is 4.
$x =$ ± $4$
Third, there are two solutions.
$-4 \n and \n 4$
Fourth, since we have two values, it is reasonable to use the plus-minus sign to indicate there is a positive and a negative solution.

Answer: C) x = ±4

x^2 = 16
x = √16
x = 4.
so the answer is A. x = 4.

How many triangles can be constructed with angles measuring 120°, 40°, and 10°?

Answers

Answer:

Step-by-step explanation:

All angles in a triangle must add to 180 degrees

if the radius of a circle is 3.5 inches its diameter is ____ inches and its approximate area is____ square inches

Answers

Answer:

Diameter = 7 inches

Area of circle is 38.46 inches²

Step-by-step explanation:

Given :The radius of a circle is 3.5 inches.

We have to find its diameter and area.

Since diameter is twice of radius.

So radius = 3.5 inches

Diameter = 2× 3.5 inches = 7 inches

Area of circle = $\pi r^2$

Substitute, r = 3.5

Area of circle = $\pi (3.5)^2$

Simplify , we have,

Area of circle = $\pi 12.25$

Using π = 3.14

We have,

Area of circle = $38.465$

Thus, Area of circle is 38.46 inches²

The diameter is 7 inches and the area is 38.465. I got the answer by taking the area of a circle's formula which is

pi r ^2

Factor completely 5x2 − 40.5(x + 8)(x − 8)

5(x2 − 8)

5(x + 8)(x − 5

Prime

Answers

Your Answer:

C.) 5(x² - 8)

Step-by-step explanation:

If you were to redistribute the 5 in 5(x² - 8), you would get 5x² - 40, which was what you initially started off with.

Hope this helps y'all :)

The final result is equal to 5x^2+15x-200

Hamid has gained weightHe now weighs 88kg, which is 10% higher than his normal weight.

What is Hamid's normal weight?

Answers

If we let x be Hamid's normal weight, 10% of the normal weight can be expressed as 0.10x. The equation that would let us better visualize the problem,
(1.10)x = 88

The value of x from the equation is 80.

Therefore, the answer is 80 kg.

The normal weight of Hamid is 80 kg.

Step-by-step explanation:

Given information:

The current weight of Hamid is 88 kg.

Let , $W$ is the normal weight of hamid.