Answer:
3
Step-by-step explanation:
15x +8 =40 +13
15x + 8=53
15x=45
3
92,500 x 6,800,000,000
6.29e+14
Mark brainliest please
Hope this helps you
Question: What value of c will complete the square below (
) and make the expression a perfect square trinomial?
Answer: c = 225
Step-by-step explanation:
Perfect square trinomials come in the form a² + 2ab + b², which is equal to (a + b)². In the presented trinomial, we can immediately identify that <u>a = x, and b² = c</u>, but we need to find the numerical value of
.
To do this, note that the middle term, or <u>2ab, corresponds with (is equal to) 30x</u>. We know that a = x, and thus, <u>2ab = 2bx</u>. Now, 2bx and 30x are corresponding terms; thus, <u>2bx = 30x</u>.
Dividing by
on both sides gives us <u>b = 15</u>. Therefore, c = b² = 15² = 225. (As a squared binomial, this would be (x + 15)² as a = x and b = 15.)
Answer:
A≈78.54
Step-by-step explanation:
A=πr2
I think this is right
The distance from the kayak to the mountain to the nearest whole number is 43 meters.
The situation will form a right angle triangle as shown below in the diagram.
<h3>Properties of a right angle triangle:</h3>
- One of its angle is 90 degrees.
- The sides and angle can be found by using trigonometric ratios.
The height(opposite side) of the triangle is the kayak distance from the mountain to the lake below. The distance from the kayak to the mountain is the adjacent side of the triangle.
Therefore, using trigonometric ratios,
tan 35 = opposite / adjacent
tan 35° = 30 / a
a = 30 / tan 35°
a = 30 / 0.70020753821
a = 42.8444402023
a = 42.84 meters
a ≈ 43 meters
learn more on the angle of depression: brainly.com/question/13969247?referrer=searchResults