Answer:
CA=17
Step-by-step explanation:
From given picture we see that A and C are the mid points of sides QR and QS respectively.
We know that line joining mid points of the two sides of triangle is always half of the length of the third side.
So that means:
2*CA=SR
2(3x-1)=5x+4
6x-2=5x+4
6x-5x=4+2
x=6
plug value of x into CA=3x-1
CA=3*6-1=18-1=17
Hence final answer is CA=17
9514 1404 393
Answer:
Step-by-step explanation:
A graphing calculator answers these questions easily.
The ball achieves a maximum height of 40 ft, 1 second after it is thrown.
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The equation is usefully put into vertex form, as the vertex is the answer to the questions asked.
h(t) = -16(t^2 -2t) +24
h(t) = -16(t^2 -2t +1) +24 +16 . . . . . . complete the square
h(t) = -16(t -1)^2 +40 . . . . . . . . . vertex form
Compare this to the vertex form:
f(x) = a(x -h)^2 +k . . . . . . vertex (h, k); vertical stretch factor 'a'
We see the vertex of our height equation is ...
(h, k) = (1, 40)
The ball reaches a maximum height of 40 feet at t = 1 second after it is thrown.
A only 3= 5(2-2)+3
3= 5(0)+3
Answer:
c = 53 yd is the answer.
Step-by-step explanation:
a = 45 yd
b = 28 yd
c = ?
According to the Pythagorean Theorem,
a² + b² = c²
45² + 28² = c²
2025 + 784 = c²
c² = 2809
c = 53 yd
∴ The dog runs 53 yd
Answer:
The area of the composite figure is 1360 ft.
Step-by-step explanation:
First, you should split up the composite figure into separate shapes.
So to find area of the triangle all the way on the left, you multiply base x height then divide by 2.
<u>30 x 34 = 1020 ÷ 2 = 520.</u>
Then, moving on to next shape, we can break up the trapezoid into a rectangle and a triangle.
To find area of the rectangle you multiply length x width.
<u>16 x 30 = 480.</u>
Finally, we have the last triangle right above the rectangle. Keep in mind that the rectangle does not have a length of 40!
You have to subtract 40 - 16 which equals 24.
<u>30 x 24 = 720 ÷ 2 = 360.</u>
Now that we have all 3 numbers, we simply add them all together and you will get an answer of 1360 ft.
Remember to label your answer!
