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1 year ago

The angle measures of an isosceles triangle are shown. Find the value of w.

Mathematics

1 answer:

notka56 [123]1 year ago

4 0

Answer:

w= 7

Step-by-step explanation:

8w + 9w - 1 + 62 = 180

17w + 61 = 180

17w = 119

w = 7

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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

In a class there are 15 boys and 15 girls 5/6 of the children have brown hair if someone is chosen at random what is the probabi

Cloud [144]

Probability someone chosen at random will not have brown hair = 1/6

<h3>Probability of two variables</h3>

The number of girls = 15

The number of boys = 15

The total number of children = 15 + 15 = 30

Probability that someone chosen at random will have a brown hair, P(Brown hair) = 5/6

P(Brown hair) + P(Not Brown hair) = 1

5/6 + P(Not brown hair) = 1

P(not brown hair) = 1 - 5/6

P(not brown hair) = 1/6

Therefore, if someone is chosen at random, probability that they will not have brown hair = 1/6

Learn more on probability here: brainly.com/question/27899440

#SPJ1

6 0

1 year ago

Perform the operation. Write the answer in standard form. (9 +3i) - (-2 - 7i)

ryzh [129]

Answer:

(9+3i)-(2-7i)=17i

Step-by-step explanation:

8 0

2 years ago

How to rewrite decimals to fractions before adding

torisob [31]

Step 1: Write down the decimal divided by 1, like this: decimal/1Step 2: Multiply both top and bottom by 10 for every number after the decimal point. (For example, if there are two numbers after the decimal point, then use 100, if there are three then use 1000, etc.)Step 3: Simplify (or reduce) the fraction . ( Did That Help ? )

7 0

3 years ago

Read 2 more answers

Jose's school spent $1284 on 9 sticksof memory and a new hard drive. The hard drive cost $168. Which is the reasonable estimate

vekshin1

It would be 1284 divided by 9 and then u round it which is 1284 / 9 =142.666 which can be rounded up to 140 or 143

5 0

2 years ago