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svet-max [94.6K]
3 years ago
10

I’d really appreciate if you’d also give a brief explanation:)

Mathematics
1 answer:
ArbitrLikvidat [17]3 years ago
3 0

Answer:

Only area of PQR can be calculated.

Step-by-step explanation:

In PQR, we have both the base (24 cm) and the height (15cm) which is perpendicular to the base. Therefore using these two measurements, we can take

\frac{1}{2}  \times 24 \times 15

This is equal to 180 cm².

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Find the angles between -pi and pi that satisfy:<br><br> (−√3) sin(v)+cos(v)=√3
MAXImum [283]

Observe that

\sin\left(\dfrac\pi6-v\right)=\sin\dfrac\pi6\cos v-\cos\dfrac\pi6\sin v=\dfrac12\cos v-\dfrac{\sqrt3}2\sin v

In the original equation, divide both sides by \dfrac12:

-\sqrt3\sin v+\cos v=\sqrt3\implies\dfrac12\cos v-\dfrac{\sqrt3}2\sin v=\dfrac{\sqrt3}2

\implies\sin\left(\dfrac\pi6-v\right)=\dfrac{\sqrt3}2

Next,

\sin x=\dfrac{\sqrt3}2\implies x=\dfrac\pi3+2n\pi,x=\dfrac{2\pi}3+2n\pi

where n is any integer. Then

\sin\left(\dfrac\pi6-v\right)\implies v=-\dfrac\pi6-2n\pi,v=-\dfrac\pi2-2n\pi

Fix n=0 to ensure -\pi, so that

v=-\dfrac\pi6,v=-\dfrac\pi2

3 0
3 years ago
The point slope of a line that has a slope of -2 and passes through point (5,-2) is shown below. Which equation is in slope inte
kramer
Y + 2 = -2(x - 5)

Simplify.

y + 2 = -2x + 10

Subtract 2 from both sides.

y = -2x + 10 - 2

Simplify.

y = -2x + 8 → Slope-intercept form

Our answer is the second option : y=-2x+8

~Hope I helped!~
 

7 0
3 years ago
Read 2 more answers
Find the​ P-value for the indicated hypothesis test with the given standardized test​ statistic, z. Decide whether to reject H0
Leviafan [203]

Answer: We do not reject the null hypothesis.

Step-by-step explanation:

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By using the standard normal distribution table ,

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2P(Z>|z|)=2P(Z>2.28)=0.0226

Since the p-value is greater than the significance level of 0.02.

Then , we do not reject the null hypothesis.

8 0
3 years ago
Write the order of operations down using your own words​
dybincka [34]

The order of operations is:

Parentheses, Exponent, Division, Multiplication, Addition, Subtraction.

Or PEMDAS.

hope it helps!

6 0
3 years ago
2.1(0.2x−1.4)=1.3(0.4x−3.5)<br> simplify <br> lots of points
Zina [86]

Answer:

you need a y to get at least 1 point

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