For find f(-2) of f(x)=7x+3, plug in -2 for x.
7(-2)+3=y
-14+3=y
y=-11
To find the rate, or the slope, you divide x/y. So 2/6 is 1/3. 3 over 9 is also 1/3. So the rate is 1/3. In rates you always divide, you don't mulitply or subtract or add to find the rate.
volume of square pyramid = S^2*h/3
volume = 36
h = 3
36 = S^2 *3/3
36 = S^2
S = sqrt(36)
S = 6
length of base = 6
Using it's concept, there is a 0.125 = 12.5% probability that Craig will pitch it between 70 and 75 mph.
<h3>What is a probability?</h3>
A probability is given by the <u>number of desired outcomes divided by the number of total outcomes</u>.
From the histogram, the number of pitches is given by:
1 + 5 + 3 + 4 + 1 + 2 = 16.
Of those, 2 were between 70 and 75 mph, hence the probability is given by:
p = 2/16 = 1/8 = 0.125.
There is a 0.125 = 12.5% probability that Craig will pitch it between 70 and 75 mph.
More can be learned about probabilities at brainly.com/question/14398287
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Answer:
The length of the rectangle is
12
c
m
and the area of the rectangle is
60
c
m
2
.
Explanation:
By definition, the angles of a rectangle are right. Therefore, drawing a diagonal creates two congruent right triangles. The diagonal of the rectangle is the hypotenuse of the right triangle. The sides of the rectangle are the legs of the right triangle. We can use the Pythagorean Theorem to find the unknown side of the right triangle, which is also the unknown length of the rectangle.
Recall that the Pythagorean Theorem states that the sun of the squares of the legs of a right triangle is equal to the square of the hypotenuse.
a
2
+
b
2
=
c
2
5
2
+
b
2
=
13
2
25
+
b
2
=
169
25
−
25
+
b
2
=
169
−
25
b
2
=
144
√
b
2
=
√
144
b
=
±
12
Since the length of the side is a measured distance, the negative root is not a reasonable result. So the length of the rectangle is
12
cm.
The area of a rectangle is given by multiplying the width by the length.
A
=
(
5
c
m
)
(
12
c
m
)
A
=
60
c
m
2
9. 1/2 x 8 x 10 = 40 in²
10. 1/2 x 7 x 9 = 31.5 yd²
11. 1/2 x 12 x 8 = 48 cm²
12. 1/2 x 3 x 16 = 24 ft²
