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3 years ago

Solve for x round to the nearest tenth

Mathematics

1 answer:

lidiya [134]3 years ago

3 0

Answer:

47.0

Step-by-step explanation:

In this right angle triangle, we are faced with a challenge of two sides. The opposite side and the adjacent side, hence the tangent is used.

Where it is the opposite side and hypothenus side, the sine is used and when it is the hypothenus side and adjacent side, the cosine is used.

Hence, we have tan62°=x/25

We cross multiply, to have

25(tan 62°)= x

x = 47.01816

In rounding up numbers, number 1 to 4 will be rounded up to zero, while numbers 5 to 9 will be rounded up to 1.

Rounding up 47.01816 to the nearest tenth. The tenth value is the figure is 0, before it we have 1, which is to hundredth. 1 will be rounded up to zero.

So we have 47.0

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You have a shelf that holds 25 1/2 pounds. What is the most number of 1 1/4 pound books that the shelf can hold?

patriot [66]

Answer:

20 books

Step-by-step explanation:

given that the shelf can hold 25 1/2 lbs (i.e 25.5 lbs), and that each book weighs 1 1/4 ln (i.e 1.25 lbs)

number of books which the shelf can hold

= weight that the shelf can hold ÷ weight of each book

= 25.5 ÷ 1.25

= 20.4 books

because having 0.4 of a book (i.e part of a book) would not be very feasable, we have to round the number of books down to the nearest whole number)

20.4 books rounded down to nearest whole number = 20 books (answer)

5 0

3 years ago

Read 2 more answers

Write as a single power of 8. 8 to the power of 8 ÷ 8 to the power of 2

OLEGan [10]

Answer: 8^6

Step-by-step explanation:

$\frac{8^8}{8^2}$ = $8^{6}$ subtract the bottom exponent from the top exponent.

7 0

3 years ago

The volume of a solid is 192 cm if the height is 6 cm and the length is 8 cm find the width

bezimeni [28]

Answer:

Step-by-step explanation:

V=a*b*c

192= 8*b*6

b=192/48

b= 4 cm

6 0

3 years ago

What is the center of the circle for this equation: (x + 3)² + (y - 2)² = 25

Ksju [112]

The formula for the equation of a circle is (x - h)² + (y - k)² = r²

where (h, k) is the center of the circle and r is the radius.

So we need to find the values of (h, k) in order to find the center of the circle.

If we simply line up the equation of our given circle with our formula,

we can see that -h = 3 or h = -3 and -k = -2 so k = 2.

So now we have our answer.

center ⇒ (-3, 2)

8 0

3 years ago

-4/3,4/9,-4/27,4/81,-4/243... what is the common ratio! HELP ASAP

kaheart [24]

Answer: The common ratio is -1/3

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Work Shown:

Pick any term to divide it by the previous term. I'm going to pick the second term and divide it by the first term.

r = common ratio
r = (term 2) divided by (term 1)
r = (4/9) divided by (-4/3)
r = (4/9) * (-3/4)
r = (4*(-3))/(9*4)
r = -12/36
r = -1/3
The common ratio is -1/3

This means you multiply each term by -1/3 to get the next term

For instance
term 2 = r*(term 1)
term 2 = (-1/3)*(-4/3)
term 2 = ((-1)*(-4))/(3*3)
term 2 = 4/9

3 0

3 years ago