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Feliz [49]
3 years ago
10

Use the diagram of the right triangle above and round your answer to the nearest hundredth.

Mathematics
1 answer:
Yakvenalex [24]3 years ago
4 0

Answer:

value of a = 6.93 m

hence , (b.)

Step-by-step explanation:

the given triangle is a right angled triangle, so

by using trigonometry.

=》

\tan(a)   = \tan(30)  =  \frac{1}{ \sqrt{3} }

and we know,

=》

\tan(a)  =  \frac{a}{b}

so, by above values of tan ( a ) we get,

=》

\frac{a}{b}  =  \frac{1}{ \sqrt{3} }

=》

\frac{a}{12}  =  \frac{1}{ \sqrt{3} }

=》

a = \frac{12}{ \sqrt{3} }

=》

a = 4 \sqrt{3}

=

=》

a = 6.93

hence, a = 6.93 m

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Enter the correct answer in the box.
guapka [62]

<u><em>Answer:</em></u>

y = -x² + 60x + 256 in²

<u><em>Explanation:</em></u>

<u>Before we begin, remember the following:</u>

yᵃ × yᵇ = yᵃ⁺ᵇ

<u>Now, for the given problem:</u>

We know that the area of the rectangle is the product of its dimensions (length and width)

<u>This means that:</u>

Area of rectangle = length × width

<u>Now, we are given that:</u>

length of game board = x+4 in

width of game board = -x+64 in

<u>Substitute with the givens in the rule it as follows: </u>

Area of rectangle = length × width

Area of board game = (x+4)(-x+64)

<u>Use the distributive property, compute the product and gather like terms as follows:</u>

Area of board game = (x+4)(-x+64)

Area of board game = x(-x) + x(64) +4(-x) +4(64)

Area of board game = -x² + 64x - 4x + 256

Area of board game = -x² + 60x + 256 in²

Hope this helps :)

5 0
2 years ago
I’ll rate your answer 5 stars if you can help me pls
kap26 [50]
Answer:
104:2=52
3*52=156
1) 156/3
2)364/7
7*52=364
7 0
2 years ago
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Twenty-five more than four times a number is equal to the difference between 109 and twice the number. Find the number.
Len [333]

Answer:

i dont understand

Step-by-step explanation:

7 0
3 years ago
Read 2 more answers
Which expression has a positive quotient?
svp [43]

Answer:

Only 1st option Negative three-fourths divided by Negative two-thirds has positive quotient.

Option A is correct.

Step-by-step explanation:

We will solve to find out Which expression has a positive quotient.

We know the division rule: \frac{-a}{-b}=\frac{a}{b} and \frac{-a}{b}=\frac{-a}{b}

We will use these rules

1) Negative three-fourths divided by Negative two-thirds

=\frac{-\frac{3}{4} }{-\frac{2}{3} }\\=-\frac{3}{4}\times -\frac{3}{2}\\=\frac{9}{8}

The quotient is positive.

2) Negative StartFraction 1 over 8 EndFraction divided by 3 and one-fifth

\frac{-\frac{1}{8} }{3\frac{1}{5} }\\=\frac{-\frac{1}{8} }{\frac{16}{5} }\\=-\frac{1}{18} \times \frac{5}{16}\\=-\frac{5}{288}

The quotient is negative.

3) 2 and StartFraction 2 over 7 EndFraction divided by negative one-fifth

\frac{2\frac{2}{7} }{-\frac{1}{5} }\\= \frac{\frac{16}{7} }{-\frac{1}{5} }\\=\frac{16}{7} \times -5\\=-\frac{80}{7}

The quotient is negative.

4) Negative 6 divided by Five-thirds

\frac{-6}{\frac{5}{3} }\\=-6 \times \frac{3}{5}\\=-\frac{18}{5}

The quotient is negative.

So, only 1st option Negative three-fourths divided by Negative two-thirds has positive quotient.

Option A is correct.

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3 years ago
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What is (13x + 9k) + (17x + 6k), simplified?
Mazyrski [523]
The answer is 15x+30k
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3 years ago
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