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3 years ago

What is the decimal value of sin S? (Round your answer to the nearest thousandth if necessary.)

Mathematics

1 answer:

NISA [10]3 years ago

8 0

Answer:

0.471

Step-by-step explanation:

The mnemoic SOH CAH TOA reminds you that ...

... Sin = Opposite/Hypotenuse

... sin(S) = 32/68 ≈ 0.471

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A plot of land is valued at $18,000.Land tax is charged at the rate of 0.70 per $100. What is the total amount of tax paid for t

Vladimir [108]

Answer:

The total amount of tax paid for the land was $126

Step-by-step explanation:

Proportions

The land tax charged is 0.7 per each $100 of the land value. For easy calculations, we find the ratio or proportion to be applied to the value of the land as:

0.7 / 100 =0.007

This factor can be used to obtain the tax charged for a given value of the land.

The plot of land of the question is valued at $18,000.

The tax charged is, then:

0.007*18,000 = 126

The total amount of tax paid for the land was $126

8 0

3 years ago

The height of a parallelogram is 5 feet more than it's base. If the area of the parallelogram is 204 square feet, what is its ba

siniylev [52]

The base is x.
The height is 5 feet more than the base, so it's x+5.
The area of a parallelogram is the product of its base and its height. The area is 204 square feet.

$x(x+5)=204 \\
x^2+5x=204 \\
x^2+5x-204=0 \\
x^2+17x-12x-204=0 \\
x(x+17)-12(x+17)=0 \\
(x-12)(x+17)=0 \\
x-12=0 \ \lor \ x+17=0 \\
x=12 \ \lor \ x=-17$

The length of the base of a parallelogram must be a positive number, so x=12.

$\hbox{the base:} \\ x=12 \\ \\
\hbox{the height:} \\ x+5=12+5=17$

The base is 12 feet long, the height is 17 feet long.

8 0

3 years ago

What is the value of n in 7 + n/2 = 10

Goryan [66]

Hello!!

$\frac{n}{2} + 7 = 10$

n + 14 = 20

n = 6

Good luck :)

8 0

3 years ago

Find the surface area of each prism 2cm 8cm 8cm

sergey [27]

Answer:

128 square cm

Step-by-step explanation:

2 x 8 x 8 x = 128 cm

Hope this Helps

4 0

2 years ago

72 slices of pizza and 80 cookies were purchased for the after school tutoring program. Each student attending will get an equal

Tems11 [23]

Answer:

8 students

Step-by-step explanation:

72 slices of pizza and 80 cookies were purchased after a school program

Each student will get an equal numbert of both pizza and cookies

72/8

= 9

80/8

= 10-1

= 9

Hence 8 students can attend the after tutoring program

6 0

3 years ago