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3 years ago

Rocco is doing an internship with a local carpenter. He is making $11.50 per hour.

Mathematics

1 answer:

SSSSS [86.1K]3 years ago

4 0

Answer:

1. 76.5 days 2. $57.69 per day

Step-by-step explanation:

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Find the area + perimeter of the following triangle

White raven [17]

Answer:

Perimeter = 14 $\sqrt{2}$

Area = $\sqrt{42}$

Step-by-step explanation:

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3 years ago

706,421 rounded to the neares thousand

ella [17]

706,421 rounded to the nearest thousand is 706,000 because the 421 is less than 500 so the 6 would remain a 6.

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3 years ago

The function f is defined by f(x)=x²-7. What is the value of f(3) ? A -16 B -2 C 2 D 16

xz_007 [3.2K]

Answer:

Option C is the answer

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3 years ago

Read 2 more answers

NASA launches a rocket at t = 0 seconds. Its height, in meters above sea-level, as a function of time is given by h ( t ) = − 4.

Oliga [24]

Answer:

$\displaystyle 1)48.2 \: \: \text{sec}$

$\rm \displaystyle 2)3021.6 \: m$

Step-by-step explanation:

<h3>Question-1:</h3>

so when flash down occurs the rocket will be in the ground in other words the elevation(height) from ground level will be 0 therefore,

to figure out the time of flash down we can set h(t) to 0 by doing so we obtain:

$\displaystyle - 4.9 {t}^{2} + 229t + 346 = 0$

to solve the equation can consider the quadratic formula given by

$\displaystyle x = \frac{ - b \pm \sqrt{ {b}^{2} - 4 ac} }{2a}$

so let our a,b and c be -4.9,229 and 346 Thus substitute:

$\rm\displaystyle t = \frac{ - (229) \pm \sqrt{ {229}^{2} - 4.( - 4.9)(346)} }{2.( - 4.9)}$

remove parentheses:

$\rm\displaystyle t = \frac{ - 229 \pm \sqrt{ {229}^{2} - 4.( - 4.9)(346)} }{2.( - 4.9)}$

simplify square:

$\rm\displaystyle t = \frac{ - 229 \pm \sqrt{ 52441- 4( - 4.9)(346)} }{2.( - 4.9)}$

simplify multiplication:

$\rm\displaystyle t = \frac{ - 229 \pm \sqrt{ 52441- 6781.6} }{ - 9.8}$

simplify Substraction:

$\rm\displaystyle t = \frac{ - 229 \pm \sqrt{ 45659.4} }{ - 9.8}$

by simplifying we acquire:

$\displaystyle t = 48.2 \: \: \: \text{and} \quad - 1.5$

since time can't be negative

$\displaystyle t = 48.2$

hence,

at 48.2 seconds splashdown occurs

<h3>Question-2:</h3>

to figure out the maximum height we have to figure out the maximum Time first in that case the following formula can be considered

$\displaystyle x _{ \text{max}} = \frac{ - b}{2a}$

let a and b be -4.9 and 229 respectively thus substitute:

$\displaystyle t _{ \text{max}} = \frac{ - 229}{2( - 4.9)}$

simplify which yields:

$\displaystyle t _{ \text{max}} = 23.4$

now plug in the maximum t to the function:

$\rm \displaystyle h(23.4)- 4.9 {(23.4)}^{2} + 229(23.4)+ 346$

simplify:

$\rm \displaystyle h(23.4) = 3021.6$

hence,

about 3021.6 meters high above sea-level the rocket gets at its peak?

5 0

2 years ago

Solve each quadratic equation. Show your work. 4x^2=100

ZanzabumX [31]

Hello there!

4x² = 100

We wanna start by dividing both sides by 4

4x²/4 = 100/4

x² = 25

Now we can take square root

x = +/-√25

x = 5 or x = -5

As always, it is my pleasure to help students like you!

4 0

3 years ago