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ladessa [460]
3 years ago
10

John worked "x" hours this week and Shanique worked eight hours less than John. Write an algebraic expression for the number of

hours that Shanique worked this week.
Mathematics
1 answer:
sergij07 [2.7K]3 years ago
6 0

Answer:

X>8

Step-by-step explanation:

X>8

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A school flag poll casts a 16 foot shadow on the lawn. A teacher stood at the shadows edge and measure the angle of elevation to
vovikov84 [41]

Answer:

30.1 feet.  

Step-by-step explanation:

We have been given that a school flag poll casts a 16 foot shadow on the lawn. A teacher stood at the shadows edge and measure the angle of elevation to the top of the poll at 62°. We are asked to find the height of the tall.

First of all, we will draw a diagram to represent our give scenario as shown in the attachment.

We can see that side length with 16 feet is adjacent side and height of the pole (h) is opposite side to angle of elevation.

We know that tangent relates opposite side of a right triangle to its adjacent side.

\text{tan}=\frac{\text{Opposite}}{\text{Adjacent}}

\text{tan}(62^{\circ})=\frac{h}{16}

h=16\cdot \text{tan}(62^{\circ})

h=16\cdot 1.880726465346

h=30.0916234\approx 30.1

Therefore, the poll is approximately 30.1 feet tall.

6 0
3 years ago
Annie and him are taking turns driving on their trip. On one day they drove a total of 420 miles. Annie drove 3 times farther th
JulijaS [17]
1,260 miles all you have to do is 420x3 because Annie drove 3 times faster.
3 0
3 years ago
Three subtracted from twice a number equals 31 more than three times the number. find the number
Ksivusya [100]

Answer:

34

Step-by-step explanation:

Let the no. be x,

2x-3=3x+31

3x-2x= -3-31

x= -34

5 0
3 years ago
Lucy obtains a 1-year payday loan for $5000.00 at 12% interest compounded monthly. To get the loan, she
AURORKA [14]

Answer:

An origination fee is typically 0.5% to 1% of the loan amount and is charged by a lender as compensation for processing a loan application. Origination fees are sometimes negotiable, but reducing them or avoiding them usually means paying a higher interest rate over the life of the loan

Step-by-step explanation:

3 0
2 years ago
There is a bag filled with 4 blue and 5 red marbles.
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4/9 (4 out of 9) because you add them all together then count the number of blue marbles then since you put back the first marble, the dominator is still the same
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3 years ago
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