Answer:
2
a = - ------
15
Step-by-step explanation:
15 a = -2 (divide 15 on each side)
15a 2
----- = - ------
15 15
2
a = - ------
15
Answer:
300 ft
Step-by-step explanation:
Given that a city planner wants to build a ramp onto a highway. The vertical distance that the ramp goes up is 160ft. The length of the ramp is 340ft and represents the hypotenuse of a right triangle.
i.e. the triangle formed is a right one with hypotenuse 340 ft and one side 160ft. The other side is the horizontal distance the ramp will cover say x
Then by Pythagorean theorem we get

Thus horizontal distance the ramp will cover = 300 ft.
Answer:
Correct group: fourth image
Surface area = 32 in2
Step-by-step explanation:
The dimensions required is 2 x 3 x 2, so in one dimension we need 2 cubes, in a second dimension we need 3 cubes, and in the third dimension we need 3 cubes.
In the first image, we have a 2 x 3 x 3 prism.
In the second image (to the right of the first one), we have a 2 x 4 x 1 prism.
In the third image (below the first one), we have a 3 x 4 x 1 prism.
In the fourth image, we have a 2 x 3 x 2 prism, so this is the correct option.
The surface area os this prism is 2*(2*2) + 2*(2*3) + 2*(2*3) = 8 + 12 + 12 = 32 in2
The segment area of the circle that's given in the envision geometry is 2.568.
<h3>How to calculate the segment area?</h3>
It should be noted that the segment area is given as:
= (a/360)π × R² - Area of triangle
= (90/360)π × 3² - (1/2 × 3²)
= 9π/4 - 9/2
= 2.568
In conclusion, the segment area of the circle that's given in the envision geometry is 2.568.
Learn more about geometry on:
brainly.com/question/24375372
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Answer:b
Step-by-step explanation: