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3 years ago

If sin theta = 5/6, what are the values of cos theta and tan theta?

1 answer:

4 0

Sine is opposite over hypotenuse. This is also known as a famous 4-5-6- triangle.
Cosine theta is 4/6,
Tangent theta is 5/4

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What is 75 + 15x ≥ 140

melomori [17]

75+ 15x ≥ 140
⇒ 15x ≥ 140-75
⇒ 15x ≥ 65
⇒ x ≥ 65/15
⇒ x ≥ 13/3
⇒ x ≥ 4 1/3

Final answer: x ≥ 4 1/3~

8 0

3 years ago

Three streets intersect to form a right triangle as shown below. The parts of streets that make up the legs of this triangle are

Burka [1]

Answer:

70 yd.

Step-by-step explanation:

The three streets at the intersection form a right triangle.

For a right triangle, the length of the longest side (called hypothenuse) is given by Pythagorean's theorem:

$h=\sqrt{x^2+y^2}$

where

x is the length of the 1st side

y is the length of the 2nd side

h is the length of the hypothenuse

Here we want to find the hypothenuse.

We have:

x = 42 yd (length of the 1st side)

y = 56 yd (length of the 2nd side)

Substituting, we find h:

$h=\sqrt{42^2+56^2}=70 yd$

7 0

3 years ago

Determine whether the number is a perfect square 47

Ghella [55]

Perfect squares are n² where n is a whole number
whole numbers are like 0,1,2,3,4,5,6, etc
no decimal or fractions

we can do that be looking at the perfect squares we know
2²=4
3²=9
4²=16
5²=25
6²=36
7²=49
8²=64
etc

so we see 47 is between 6² and 7²
therefor, for n²=47, n is between 6 and 7 and is therfore not a whole number
that makes 47 not a perfect square

7 0

3 years ago

Read 2 more answers

Simplify the expression

AlexFokin [52]

Answer:

Step-by-step explanation:

$\frac{3+4\iota}{2+4\iota}=\frac{3+4 \iota}{2+4\iota} \times \frac{2-4 \iota}{2-4 \iota}\\=\frac{6 -12 \iota+8 \iota-16 \iota^2 }{4-16 \iota^2 }\\=\frac{ 6-4 \iota+16}{4+16}\\=\frac{22-4 \iota}{20}$

5 0

3 years ago

Please answer if it’s A B C Or D

PolarNik [594]

Answer:

I am sure it is D

8 0

3 years ago

Read 2 more answers