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3 years ago

Match the following trigonometric ratios with the correct equation for the triangle shown below.

Mathematics

1 answer:

kotegsom [21]3 years ago

4 0

Step-by-step explanation:

24²+7²=25²

576+49=625

625=625

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What is 25% of 40 people.

Jlenok [28]

Answer:

Step-by-step explanation:

7 0

2 years ago

Read 2 more answers

A football is kicked toward an end zone with an initial vertical velocity of 30 ft/s. The function h(t) = -16+ 30t models the he

Ulleksa [173]

Answer:

A. The football does not reach a height of 15ft

Step-by-step explanation:

Given

$h(t) = -16t^2 + 30t$

Required

Determine which of the options is true

The option illustrates the height reached by the ball.

To solve this, we make use of maximum of a function

For a function f(x)

Such that:

$f(x) = ax^2 + bx + c$ :

$f(\frac{-b}{2a}) = maximum/minimum$

i.e we first solve for $\frac{-b}{2a}$

Then substitute $\frac{-b}{2a}$ for x in $f(x) = ax^2 + bx + c$

In our case:

First we need to solve $\frac{-b}{2a}$

Then substitute $\frac{-b}{2a}$ for t in $h(t) = -16t^2 + 30t$

By comparison:

$b = 30$

$c = -16$

$\frac{-b}{2a} = \frac{-30}{2 * -16}$

$\frac{-b}{2a} = \frac{-30}{-32}$

$\frac{-b}{2a} = \frac{30}{32}$

$\frac{-b}{2a} = \frac{15}{16}$

Substitute $\frac{15}{16}$ for t in $h(t) = -16t^2 + 30t$

$h(\frac{15}{16}) = -16(\frac{15}{16})^2 + 30(\frac{15}{16})$

$h(\frac{15}{16}) = -16(\frac{225}{256}) + \frac{450}{16}$

$h(\frac{15}{16}) = -(\frac{225}{16}) + \frac{450}{16}$

$h(\frac{15}{16}) = \frac{-225 + 450}{16}$

$h(\frac{15}{16}) = \frac{225}{16}$

$h(\frac{15}{16}) = 14.0625$

This implies that the maximum height reached is 14.0625ft.

So, the option that answers the question is A because $14.0625 < 15$

8 0

2 years ago

A theater can seat 273 people. The number of rows is 8 less than the number of seats in each row. How many rows of seats are the

artcher [175]

R * s = 273
r = s - 8.....s = r + 8

r(r + 8) = 273
r^2 + 8r = 273
r^2 + 8r - 273 = 0
(r - 13)(r + 21) = 0

r - 13 = 0
r = 13

r + 21 = 0
r = -21.....extraneous solution...not ur answer

r = 13
s = r + 8 = 13 + 8 = 21

so there are 13 rows.....each row containing 21 seats

3 0

3 years ago

Alex's dog weighs 7 times as much as her cat. Together, the two pets weigh 72 pounds. How much does Alex's dog weigh?

raketka [301]

D=dog's weight
c=cat's weight
d=7c
d+c=72
sub 7c for d
7c+c=72
8c=72
divide both sides by 8
c=9
d=7c
d=7(9)
d=63
dog=63lb

7 0

3 years ago

WXYZ is a parallelogram find the angle measures

Ivahew [28]

Answer:

W and Y = 91. X and Z = 89

Step-by-step explanation:

Those two angles will add to 180.

5a - 21 + 3a + 25 = 8a + 4

8a + 4 = 180

8a = 176

176 / 8 = 22 = a

Plug in a for an angle.

3(22) + 25 = 91

180 - 91 = 89

6 0

3 years ago