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3 years ago

Find the constant of variation if an employee earns $175 for 15 hours work.

Mathematics

1 answer:

RUDIKE [14]3 years ago

6 0

Answer:

11.67

Step-by-step explanation:

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Could someone help? please the deadline is in 20 min!!!

Zepler [3.9K]

Answer:

7.$95 8. $112.50

Step-by-step explanation:

50 divided by 100 is 0.5, then times by 90 is 45.

45 plus 50 is 95.

$150/4=$37.50

$150-$37.50=$112.50

5 0

3 years ago

Tammy scored 88, 72, 44 points on her first three test. What must she score in her last test to get at least an average of 70?

lara [203]

Answer:

Step-by-step explanation:

(88+72+44+x)/4=70

88+72+44+x=280

204+x=280

x=76

Therefore, Tammy needs to score a 76 on her last test to get at least an average of 70.

5 0

3 years ago

Find the distance between the points (6, -2) and (9,4)

Alex73 [517]

Distance is 3 sqrt 5

6 0

3 years ago

From a point A that is 8.20 m above level ground, the angle of elevation of the top of a building s 31 deg 20 min and the angle

Mariulka [41]

Answer:

30.11 meters ( approx )

Step-by-step explanation:

Let x be the distance of a point P ( lies on the building ) from the top of the building such that AP is perpendicular to the building and y be the distance of the building from point A, ( shown in the below diagram )

Given,

Point A is 8.20 m above level ground,

So, the height of the building = ( x + 8.20 ) meters,

Now, 1 degree = 60 minutes,

⇒ $1\text{ minute } =\frac{1}{60}\text{ degree }$

$20\text{ minutes }=\frac{20}{60}=\frac{1}{3}\text{ degree}$

$50\text{ minutes }=\frac{50}{60}=\frac{5}{6}\text{ degree}$

By the below diagram,

$tan ( 12^{\circ} 50') = \frac{8.20}{y}$

$tan(12+\frac{5}{6})^{\circ}=\frac{8.20}{y}$

$tan (\frac{77}{6})^{\circ}=\frac{8.20}{y}$

$\implies y=\frac{8.20}{tan (\frac{77}{6})^{\circ}}$

Now, again by the below diagram,

$tan (31^{\circ}20')=\frac{x}{y}$

$tan(31+\frac{1}{3})=\frac{x}{y}$

$\implies x=y\times tan(\frac{94}{3})=\frac{8.20}{tan (\frac{77}{6})^{\circ}}\times tan(\frac{94}{3})^{\circ}=21.9142943216\approx 21.91$

Hence, the height of the building = x + 8.20 = 30.11 meters (approx)

8 0

3 years ago

What interest is needed to earn $137.50 on a deposit of $500 for five years if it earns simple interest?

sineoko [7]

Answer:

5.5%

Step-by-step explanation:

Given data

Simple interest = $137.50

Principal= $500

time = 5 years

We want to find the rate R

Simple interest= PRT/100

137.50 = 500*R*5/100

137.50=2500R/100

cross multiply

137.5*100= 2500R

13750= 2500R

divide both sides by 2500

R= 13750/2500

R=5.5%

Hence the rate is 5.5%

4 0

3 years ago