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ValentinkaMS [17]
3 years ago
9

Which expressions correctly represent the area of the triangle XYZ?

Mathematics
1 answer:
Evgen [1.6K]3 years ago
6 0

Answer:

Options (2) and Option (1)

Step-by-step explanation:

Area of the ΔXYZ = \frac{1}{2}(\text{Base})(\text{Height})

                              = \frac{1}{2}(XZ)h

                              = \frac{1}{2}(18)h

By applying sine rule in the ΔYPZ,

sin(38°) = \frac{\text{Opposite side}}{\text{Hypotenuse}}

sin(38°) = \frac{h}{14}

h = 14[sin(38°)]

Therefore, area of the given triangle = \frac{1}{2}(18)(14)sin(38)

By applying sine rule in ΔYPZ,

sin(58°) = \frac{\text{Opposite side}}{\text{Hypotenuse}}

sin(58°) = \frac{h}{10}

h = 10sin(58°)

Area of ΔXYZ = \frac{1}{2}(18)(10)sin(58)

Therefore, Options (2) and Option (1) are the correct options.

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Please Help!
JulijaS [17]

Answer:8865=6000(1+\frac{5\times t}{100})

Step-by-step explanation:

Given

Liam deposited P=\$\ 6000

Rate of interest is R=5\ \%

If the amount after t years is A=\$\ 8865

Simple interest is given by

S.I.=\dfrac{P\times R\times t}{100}

And amount is

A=P+S.I.

A=P(1+\frac{R\times t}{100})

Substituting values we get

8865=6000(1+\frac{5\times t}{100})

1.4775=1+\frac{5\times t}{100}

0.4775\frac{5\times t}{100}

5t=47.75

t=\frac{47.75}{5}=9.55\ years

8 0
3 years ago
What is 1 1/3 x 2/3 in the simplest form?
wlad13 [49]

Answer:8/9

Step-by-step explanation:4/3 * 2/3=8/9

6 0
3 years ago
Read 2 more answers
What is the height in meters of a person who is 6 ft 1.0 in. tall? (assume that 1 meter equals 39.37 in.)?
Romashka [77]
1 foot = 12 inch so 6 feet = 6*12 inch
6 feet = 72 inch

The height of the person in inch is = 72+1 = 73 inch

1 meter.............39.37 in
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x = 73/39.37 = 1.85 meters
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3 years ago
What is the value of x in the equation below?
Alexeev081 [22]
X equals 4

I just did it
8 0
2 years ago
The sum of the quotient of a number and and 3 and 8 is 16 what is the number
zhuklara [117]
After having done this on paper:

\frac{n}{3} + 8 = 16

We want to isolate the variable, and the first step is to subtract the 8.

\frac{n}{3} = 8

Since the <em>n</em> is being multiplied by 3, and that = 8, we can multiply both sides by 3.

<em>n</em> = 24

Let me know if this helped you understand better.

Also, you can check this by substituting in 24 for <em>n</em>.
5 0
3 years ago
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