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3 years ago

If tan A is 7/9 what is angle A?

Mathematics

1 answer:

creativ13 [48]3 years ago

4 0

Tan a = $\frac{7}{9}$
a = $Tan^{-1} \frac{7}{9}$
a = 37.875°

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What is the simplified form of the following expression 7(3sqrt 2x) - 3(3sqrt 16x) - 3(3sqrt 8x)

zimovet [89]

Answer: $\bold{3\sqrt{2x}-36\sqrt x}$

<u>Step-by-step explanation:</u>

$7(3\sqrt{2x})-3(3\sqrt{16x})-3(3\sqrt{8x})\\\\=21\sqrt{2x}-9\sqrt{16x}-9\sqrt{8x}\\\\=21\sqrt{2x}-9\cdot 4\sqrt x-9\cdot 2\sqrt{2x}\\\\=21\sqrt{2x}-36\sqrt x-18\sqrt{2x}\\\\=(21-18)\sqrt{2x}-36\sqrt x\\\\=3\sqrt{2x}-36\sqrt x$

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3 years ago

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kotegsom [21]

Answer:

Step-by-step explanation:

4 / 2 = 2, so they are proportional, and the perimeter of the smaller figure will be one half of the perimeter of the larger figure.

(4+2+5+3)/2 = 14/2 = 7

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3 years ago

How many solutions is there to the system of equations? 2x + 3y = 11 -4x - 6y = -22

Step2247 [10]

Answer:

x = 4, y = -3

Step-by-step explanation:

{2x - y = 11

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You can use the substitution method by solving for x in the second equation:

x + 3y = -5

Subtract 3y from both sides:

x = -3y - 5

Now, substitute this value for x into the first equation:

2x - y = 11

2(-3y - 5) - y = 11

Distribute:

-6y - 10 - y = 11

Add 10 to both sides:

-6y - y = 21

Combine like terms:

-7y = 21

Divide both sides by -7:

y = -3

Next, substitute this value for x into the second equation:

x + 3y = -5

x + 3(-3) = -5

Multiply:

x - 9 = -5

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3 years ago

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Serjik [45]

The image is not visible

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3 years ago

A jewelry store has 311.75 ounces of 14-carat gold in stock.

WARRIOR [948]

Answer:

$\boxed{\text{(a) 86 necklaces; (b) \$2220}}$

Step-by-step explanation:

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3⁵/₈ = 3.625

$\text{No. of necklaces} = 311.75\text{ oz} \times \dfrac{\text{1 necklace}}{3.625\text{ oz}} = \textbf{ 86 necklaces}\\\\\text{You can make } \boxed{\textbf{86 necklaces}} \text{ from 311.75 oz of 14K gold}$

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There are 3.625 oz of 14K gold in each necklace. Pure gold is 24K.

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Pure 24K gold is worth $1050/oz.

$\text{Value of pure gold} = \text{2.1146 oz} \times \dfrac{\text{\$1050}}{\text{1 oz}} = \textbf{\$2220}\\\\\text{The value of the gold in each necklace is } \boxed{\textbf{\$2220}}$

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3 years ago