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3 years ago

A toy rocket is launched from a platform 24ft above the ground. The

Mathematics

1 answer:

jok3333 [9.3K]3 years ago

8 0

Answer:

4 sec

Step-by-step explanation:

let y = 0 which is the height when the rocket hits the ground

-3t^2 + 6t + 24 = 0

-3(t^2 - 2t - 8) = 0

-3(t - 4)(t + 2) = 0

t = 4 or t = -2

time cannot be negative, so t = 4 sec

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Which of the following is the correct graph of the compound inequality 4p + 1 < −11 or 6p + 3 > 39?

mrs_skeptik [129]

The correct graph to the inequality is a number line with open dot at <em>negative 3</em> with shading to the left and an open dot at 6 with shading to the right. The correct option is the second option

<h3>Linear Inequalities </h3>

From the question, we are to determine the graph for the given compound inequality

The given compound inequality is

4p + 1 < −11 or 6p + 3 > 39

Solve the inequalities separately

4p + 1 < −11

4p < -11 - 1

4p < -12

p < -12/4

p < -3

6p + 3 > 39

6p > 39 - 3

6p > 36

p > 36/6

p > 6

Thus,

p < -3 OR p > 6

Hence, the correct graph to the inequality is a number line with open dot at <em>negative 3</em> with shading to the left and an open dot at 6 with shading to the right. The correct option is the second option

Learn more on Linear Inequalities here: brainly.com/question/5994230

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4 0

1 year ago

What is the answer to this question?

forsale [732]

Answer:

c = 83

b = 79

a = 101

d = 97

.........................

5 0

2 years ago

Find the value of this pronumeral

Rina8888 [55]

<u>Answer</u>:

x = 70 ;

y = 50 .
_____________________________________________________
Explanation:
_____________________________________________________
y = 50 ; since vertical angles are congruent.

180 – (50 + 60) = x ; since all angles in any triangle add up to 180 degrees.

↔ x = 180 – (50 + 60) = 180 – (110) = 70.
_____________________________________________________

3 0

3 years ago

A boy has 380 prize tickets he wants to exchange for action figures at a prize booth. At

loris [4]

Answer:

Step-by-step explanation:

Hi there,

If the boy wants 80 small action figures

that is equivalent to 40 x 7 (as 7 tickets

gives him 2 small action figures)

= 280 tickets.

The 380 tickets he has originally minus the

280 leaves 100 tickets to get 20 large action figures

(100/5)

He will have 80 small and 20 large action figures

80:20 = 4:1

Hope this helps:-)

6 0

3 years ago

The supplement of an angle is 50 less than 3 times its complement, find the measure of the angle

Lelechka [254]

Answer:

$20^{\circ}$ .

Step-by-step explanation:

Two angles are supplements of one another if their sum is $180^{\circ}$ .

Two angles are complements of one another if their sum is $90^{\circ}$ .

Let $x^{\circ}$ be the measure of the angle in question.

The supplement of this angle would be $(180 - x)^{\circ}$ .

The complement of this angle would be $(90 - x)^{\circ}$ .

According to the question:

$(180 - x) + 50 = 3\, (90 - x)$ .

Solve this equation for $x$ :

$x = 20$ .

Thus, this angle would measure should $20^{\circ}$ .

The supplement of this angle would measure $(180 - 20)^{\circ} = 160^{\circ}$ . The complement of this angle would measure $(90 - 20)^{\circ} = 70^{\circ}$ .

Three times the complement of this angle would be $3 \times 70^{\circ} = 210^{\circ}$ , which is indeed $50^{\circ}$ greater than the supplement of this angle.

8 0

2 years ago