MATHEMATICS HIGH SCHOOL

For what value of θ, in degrees, is sin θ = cos 58°?

Answers

Answer 1

Answer:

Answer:

The value of $\theta$ is, 32 degree.

Step-by-step explanation:

Given the equation:

$\sin \theta = \cos 58^(\circ)$

We have to find the value of $\theta$

Using the rule:

$\cos (90-\theta) = \sin \theta$

then;

$\cos (90-\theta) = \cos 58^(\circ)$

Comparing both sides we have;

$90^(\circ)-\theta = 58^(\circ)$

Subtract 90 from both sides we have;

$-\theta = -32^(\circ)$

Simplify:

$\theta = 32^(\circ)$

Therefore, the value of $\theta$ is, 32 degree.

Answer 2

Answer: Hope you can see and understand what I wrote

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What is 1 2/3 as an improper fraction

Answers

An improper fraction is when the numerator(or top number) of a fraction is bigger than the denominator(bottom half of the fraction).

To solve this;
1 2/3 we multiply our denominator by the whole number and add the numerator.
1x3=3+2=5

Now, the improper fraction:
5/3

Answer:

5/3

Step-by-step explanation:

This fraction is the same as having

1 + 2/3

if you make both of them have the same denominator then

3/3 + 2/3 = 5/3

I need so much help with this question

Answers

Step-by-step explanation:

Looking at the graph, we can see that

A = (3, -3)

B = (10, -5)

C = (6, -8)

Reflecting over the y axis means reflecting over the big, bold vertical line in the middle. To do this for a point (x, y) simply means changing the x value to -x. For example, to reflect (6, 7) over the y axis, we would turn it into (-6, 7)

A' = (-3, -3)

B' = (-10, -5)

C' = (-6, -8)

Plot these points on the graph and connect them to get your new triangle

What is 4 2/7 * 2 1/5 Express the answer in simplest form.

Answers

$4(2)/(7)\cdot2(1)/(5)=(4\cdot7+2)/(7)\cdot(2\cdot5+1)/(5)=(30)/(7)\cdot(11)/(5)=(30:5)/(7)\cdot(11)/(5:5)=(6)/(7)\cdot(11)/(1)\n\n=(6\cdot11)/(7\cdot1)=(66)/(7)=\boxed{9(3)/(7)}$

Evaluate: f(x) = -2x + 6 for x = 10.

Answers

Answer:

Step-by-step explanation:

f(10) = -2(10) + 6 = -20 + 6 = -14

Answer:

f=- $(x)/(5)$ + $(3)/(5)$

Step-by-step explanation:

What is 370,000 as a decimal?

Answers

It's 370,000.00000... with as many zeros as you want after the decimal point.

370,000 no need for a decimal point because there are only zeros after it. they don't exist necessarily unless there was another number after the decimal point i.e. 1

How many halves are there in 14 and a halfhow many halves are there in 14 and a half

Answers

14, 1/2 = 29/2
14 x 2 since it's a half = 28 plus another half is 29 halves :)

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