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3 years ago

A test consists of 10

Mathematics

1 answer:

Alecsey [184]3 years ago

6 0

I didn't understand your question. please repeat

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Solve for X. 8(x + 2) = 40 Simply your answer as much as possible. = x 6

Naily [24]

Answer:

x = 3

Step-by-step explanation:

8(x+2) = 40

8x + 16 = 40

8x = 24

x = 3

7 0

3 years ago

Find the exact values of the remaining five trigonometric functions of theta, suppose theta is an angle in the standard position

nexus9112 [7]

Answer:

$\sin(\theta)=60/61\text{ and } \csc(\theta)=61/60\\\cos(\theta)=11/61\text{ and } \sec(\theta)=61/11\\\tan(\theta)=60/11\text{ and } \cot(\theta)=11/60$

Step-by-step explanation:

So, we know that:

$\tan(\theta)=60/11\text{ and } 90\textdegree$

Since θ is in QI, this means that <em>all</em> of our trig ratios will be positive. Recall All Students Take Calculus. Since it's QI, we refer to A in All. The A tells us that all the ratios will be positive.

Now, let's figure out the remaining ratios knowing that all of them is positive. First, let's find the hypotenuse. Recall that tangent is the ratio of the <em>opposite side to the adjacent side</em>. So, we can use the Pythagorean Theorem to find the hypotenuse. So:

$a^2+b^2=c^2$

Substitute 60 for a and 11 for b:

$60^2+11^2=c^2$

Solve for c. Square both numbers:

$3600+121=c^2$

Add:

$c^2=3721$

Take the square root of both sides:

$c=61$

Therefore, the hypotenuse is 61.

So, our side lengths are: Opposite=60; Adjacent=11; and Hypotenuse=61.

Now that we know the lengths, we can find the other trig ratios:

Sine and Cosecant:

$\sin(\theta)=opp/hyp$

Substitute 60 for Opp and 61 for Hyp:

$\sin(\theta)=60/61$

Cosecant is the reciprocal of sine. So:

$\csc(\theta)=61/60$

Cosine and Secant:

$\cos(\theta)=adj/hyp$

Substitute 11 for Adj and 61 for Hyp:

$\cos(\theta)=11/61$

Secant is the reciprocal of cosine. So:

$\sec(\theta)=61/11$

Tangent and Cotangent:

We are already given that tangent is:

$\tan(\theta)=60/11$

Cotangent is the reciprocal of tangent. So:

$\cot(\theta)=11/60$

4 0

4 years ago

Two students spent the same amount of

RUDIKE [14]

0.60-0.40=0.20

3.80-3.20=0.60

0.60 divided by 0.20=3

Hence, each student got 3 toppings each.

hope it helps:))

7 0

3 years ago

How do you solve this

dmitriy555 [2]

-3w-12=-18

-3*2-12=-18

so w=2

hope this helps

7 0

3 years ago

Can someone help with this question

eduard

Now, as you can see - these are ordered pairs. So, in order to find possible solutions - we have to plot this inequality on a graph!

So, let's do this. I am using GeoGebra in order to graph this inequality.

Alright, so... Now I'm going to go through, and look at each ordered pair and see if they are covered by the shaded region!

Answer A: False
Answer B: False
Answer C: True
Answer D: True
Answer E: True
Answer F: True

Hopefully, this helps you! =)

7 0

4 years ago

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