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2 years ago

Help finding the area

Mathematics

1 answer:

snow_lady [41]2 years ago

6 0

Answer:

The answer is 49 in^2.

Step-by-step explanation:

The area of the triangle is 1/2* perpendicular height * horizontal length.

The horizontal length is 14 in, while the perpendicular height is 7 in.

The area of the triangle is 1/2* 7 in * 14 in = 49 in^2

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Calculate the state income tax owed on a $90,000<br> per year salary.<br> tax = $[?]

lakkis [162]

Answer:

$4918

Step-by-step explanation:

first income must be divided according to tax bracket

2% tax on first 3000 income= 2% of $3000=$60

3% tax on income after first 3000 but upto 5000= 5000-3000= $2000

=3% of 2000= $60

5% tax on income after second 5000 but upto 12000= 17000-5000

=12000 5% of $12000= $600

Lastly, 5.75% income over 17000=

90000-17000= $73000 so, 5.75 % of 73000= $4197.5

tax= $60+60+600+4197.5

= $4917.5

= $4918

6 0

2 years ago

You drop a rubber ball off the roof of a 50 meter high building onto a paved parking lot. It bounces back up with every bounce,

Mariana [72]

Answer:

16.4 m to the nearest tenth.

Step-by-step explanation:

After the first bounce it rises to a height of 50*0.8 = 40 m.

After the next bounce it rises to 50*(0.8)^2 = 32 m

So after the 5th bounce it rises to 50(0.8)^5 = 16.4 m. (answer).

4 0

3 years ago

What is the answer to 3x+ -10=8

aivan3 [116]

Answer:

x=6

Step-by-step explanation:

3x+(-10)=8

3x-10=8

-10+10=0

8+10=18

3x=18

3x/3=x

18/3=6

x=6

4 0

2 years ago

A bank loaned out 17000 part of it at the rate of 7% per year and the rest 15% per year. If the interest received in one year to

pogonyaev

x+y=17000 (x.7+y.15)/100=2000 (7x+7y)+8y=200000. 8y=200000-17000.7 y=61.5.5.5 17000-y=9375=x x=9375

6 0

2 years ago

you are riding a bicycle which has tires with a 25-inch diameter at a steady 15-miles per hour, what is the angular velocity of

motikmotik

Answer:

The angular velocity is 6.72 π radians per second

Step-by-step explanation:

The formula of the angular velocity is ω = $\frac{v}{r}$ , where v is the linear velocity and r is the radius of the circle

The unit of the angular velocity is radians per second

∵ The diameter of the tire is 25 inches

∵ The linear velocity is 15 miles per hour

- We must change the mile to inch and the hour to seconds

∵ 1 mile = 63360 inches

∵ 1 hour = 3600 second

∴ 15 miles/hour = 15 × $\frac{63360}{3600}$

∴ 15 miles/hour = 264 inches per second

Now let us find the angular velocity

∵ ω = $\frac{v}{r}$

∵ v = 264 in./sec.

∵ d = 25 in.

- The radius is one-half the diameter

∴ r = $\frac{1}{2}$ × 25 = 12.5 in.

- Substitute the values of v and r in the formula above to find ω

∴ ω = $\frac{264}{12.5}$

∴ ω = 21.12 rad./sec.

- Divide it by π to give the answer in terms of π

∴ ω = 6.72 π radians per second

The angular velocity is 6.72 π radians per second

3 0

2 years ago