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2 years ago

If cos theta = 1/4 and 0 degrees, find tan theta

Mathematics

1 answer:

Zina [86]2 years ago

8 0

What? Sorry can’t understand

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If 60 of the 200 students are girls, then what percent of the students are girls?

OlgaM077 [116]

30%?
60/200=.3*100=30%

5 0

2 years ago

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Solve for x. 5+(x-2)=-8

Arte-miy333 [17]

Answer:

x = -11

Step-by-step explanation:

First, get rid of parentheses:

5 + x - 2 = -8

Then, simplify:

3 + x = -8

Finally, subtract 3 on both sides:

x = -11

Hope this helps ^^

7 0

3 years ago

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What is 4sqrt7^3 in exponential form?

katrin [286]

Answer:

$\boxed{7^{\frac{3}{2} } \times 4}$

Step-by-step explanation:

$4 (\sqrt{7} )^3$

Square root can be written as a power.

$4(7^{\frac{1}{2} })^3$

Multiply the exponents.

$4(7^{\frac{3}{2} })$

7 0

2 years ago

The high school has 26 teachers and 546 students. What is the ratio of teachers to students?

skelet666 [1.2K]

Answer:

1:21

Step-by-step explanation:

Easiest trick way to do this is do 26/546 on your calculator (if you got a scientific one) this would simplify this to its lowest fraction which can be converted into a ratio in this case the ratio of teachers to students is 1:21

8 0

2 years ago

Solve each equation (quadratic pattern)

dusya [7]

Answer: x = 2

Step-by-step explanation:

$2^{2x}-2^x-12=0\\\\\text{Let u = }2^x\\\\u^2-u-12=0\\(u-4)(u+3)=0\\\\u-4=0\quad and\quad u+3=0\\u=4\qquad and\quad u=-3\\\\\text{Substitute u with }2^x\\2^x=4\qquad and \quad 2^x=-3\\2^x=2^2\quad and\quad \text{not possible}\\\boxed{x=2}$

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Answer: x = 0

Step-by-step explanation:

$3^{2x}+3^{x+1}-4=0\\\\3^{2x}+3^x\cdot3^1-4=0\\\\\text{Let u = }3^x\\u^2+3u-4=0\\\\(u+4)(u-1)=0\\\\u+4=0\quad and\quad u-1=0\\u=-4\qquad and\quad u=1\\\\\text{Substitute u with }3^x\\3^x=-4\qquad and\quad 3^x=1\\\text{not possible}\ and\quad 3^x=3^0\\.\qquad \qquad \qquad \qquad \boxed{x=0}$

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Answer: No Solution

Step-by-step explanation:

$4^x+6\cdot 2^x+8=0\\\\2\cdot 2^x+6\cdot 2^x+8=0\\\\\text{Let u = }2^x\\2u+6u+8=0\\8u+8=0\\8u=-8\\u=-1\\\\\text{Substitute u with }2^x\\2^x=-1\\\text{not possible}$

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Answer: No Solution

Step-by-step explanation:

$9^x=3^x-6\\\\3\cdot 3^x=1\cdot 3^x-6\\\\\text{Let u = }3^x\\\\3u=u-6\\2u=-6\\u=-3\\\\\text{Substitute u with }3^x\\3^x=-3\\\text{not possible}$

6 0

2 years ago