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2 years ago

5

Sam needs enough wallpaper to cover an area that was 900 square inches . How many inches long of the wallpaper to the roll does

Sam need to purchase

1 answer:

tigry1 [53]2 years ago

4 0

Sam will need 30 rolls of 30 inches of paper

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G ^-1(3)=<br><br><br> A.-1<br> B.0<br> C.3<br> D. 5<br><br> Please help me understand this!!

Natasha2012 [34]

The answer the 3,

First you have to apply the exponent rule which is 1 - 3• 1/g

Then you multiply the fractions - 1•3/g

Then multiply the numbers 1 and 3, which is 3, so there you have it 3/g, or 3, they’re the same thing.

8 0

2 years ago

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 <u>flash down</u><u> </u>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 <u>4</u><u>8</u><u>.</u><u>2</u><u> </u>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 <u>3</u><u>0</u><u>2</u><u>1</u><u>.</u><u>6</u><u> </u>meters high above sea-level the rocket gets at its peak?

5 0

1 year ago

∠A and ∠B are vertical angles. If m∠A=(3x-30)° and m∠B=(2x-9)°,then find the value of x.

olganol [36]

Answer:

x = 21°

Step-by-step explanation:

Vertical angles have the same measures, therefore:

3x - 30 = 2x - 9

x - 30 = -9

x = 21°

8 0

2 years ago

A recipe uses 1/4 teaspoons of baking soda for every ½ cup of flour. What is the unit rate in cups per teaspoon?

Verizon [17]

Answer:

2 cups per teaspoon, 2 cups/1 tsp

Step-by-step explanation:

to get the teaspoon amount to 1 (you have to for a unit rate), you multiply both sides by 4.

1/2 x 4 = 2

1/4 x 4 = 1

8 0

2 years ago

In august Janet's clothing store sold 234 shirts with the ratio of short sleeves to long sleeves being 9:4. how many short sleev

makvit [3.9K]

162 short sleeve shirts; if you add 9 and 4, you get 13. Then, divide 234 by 13, which equals 18. 18 multiplied by 9 is 162.

3 0

2 years ago