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3 years ago

Explain how to translate the statement into an equation. Use n for the variable. Thirteen less than a number is four EXPLAIN:

Mathematics

1 answer:

Elden [556K]3 years ago

8 0

Answer:

13-n=4

Subtract both sides by 13

-n=-9

n=9

Step-by-step explanation:

13 less means - and a number means n that you don’t know. is means = sign. And so we get the answer that I gave you. Thank you

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A projectile is fired with muzzle speed 250 m/s and an angle of elevation 45° from a position 30 m above ground level. Where doe

qaws [65]

The projectile's horizontal and vertical positions at time $t$ are given by

$x=\left(250\dfrac{\rm m}{\rm s}\right)\cos45^\circ\,t$

$y=30\,\mathrm m+\left(250\dfrac{\rm m}{\rm s}\right)\sin45^\circ\,t-\dfrac g2t^2$

where $g=9.8\dfrac{\rm m}{\mathrm s^2}$ . Solve $y=0$ for the time $t$ it takes for the projectile to reach the ground:

$30+\dfrac{250}{\sqrt2}t-4.9t^2=0\implies t\approx36.2458\,\mathrm s$

In this time, the projectile will have traveled horizontally a distance of

$x=\dfrac{250\frac{\rm m}{\rm s}}{\sqrt2}(36.2458\,\mathrm s)\approx6400\,\mathrm m$

The projectile's horizontal and vertical velocities are given by

$v_x=\left(250\dfrac{\rm m}{\rm s}\right)\cos45^\circ$

$v_y=\left(250\dfrac{\rm m}{\rm s}\right)\sin45^\circ-gt$

At the time the projectile hits the ground, its velocity vector has horizontal component approx. 176.77 m/s and vertical component approx. -178.43 m/s, which corresponds to a speed of about $\sqrt{176.77^2+(-178.43)^2}\dfrac{\rm m}{\rm s}\approx250\dfrac{\rm m}{\rm s}$ .

7 0

3 years ago

A right triangle has one angle that measures 25º. What is the measure of the other acute angle?

Leya [2.2K]

Answer:

Step-by-step explanation:

All the angles in a right triangle add up to 180

plug in what we know and we get

90+25+x=180

115+x=180

x=65

6 0

3 years ago

In quadrilateral ABCD, AD is congruent to BC, and AD is parallel to BC. Andre has written a

Dahasolnce [82]

Answer:

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I tried hard to sketch out what the shape looked like based on the information given, and that's because I need a visual of what the shape looks like. Sorry, this took so long to answer.

5 0

10 months ago

anyone know the answer i worked it out but didn't know where i messed up so i am just gonna ask for someone to help me with it.

hram777 [196]

I also worked it out but I got -5/3

2(6p-5) ≥ 3(p-8) -1

12p-10 ≥ 3p-24-1

12p-10 ≥ 3p-25

12p-3p ≥ -25+10

9p ≥ -15

-15/9

P ≥ -5/3

5 0

3 years ago

A gardener can care for the Green's property in 5 hours. If his helper assists him, they can complete the job in 4 hours. How lo

PilotLPTM [1.2K]

Step-by-step explanation:

Fraction of work done by Gardner in 1 hr = 1 / 5

Fraction of work done by Gardner and helper in 1 hr = 1 / 4

Fraction of work done by helper in 1 hr

= 1 / 4 - 1 / 5

= 1 / 20

Time required by helper to complete work :

= 20 hours

6 0

3 years ago