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1 year ago

In APQR, find the measure of Z.P.

Mathematics

1 answer:

egoroff_w [7]1 year ago

3 0

Step-by-step explanation:

multiple possibilities.

e.g.

we could use Pythagoras to get QR, and then use the law of sine to get angle P.

or we can use the law of sine to get angle R, and then use the rule that the sum of all angles in a triangle is always 180° to get angle P.

I propose the second option :

the law of sine :

a/sin(A) = b/sin(B) = c/sin(C)

with a, b, c being the sides always opposite of their associated angles.

33.8/sin(R) = 57.6/sin(90) = 57.6

sin(R) = 33.8/57.6 = 0.586805555...

R = 35.93064691...°

180 = 90 + 35.93064691... + P

P = 54.06935309...°

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Help! I am trying to Simplify: 5√24

12345 [234]

Answer:

this might help better

Step-by-step explanation:

5√24

=10√6(Decimal: 24.494897)

4 0

3 years ago

This table models a linear function. x −8 −4 4 8 y −3 0 6 9 Enter the coordinates of the y-intercept in the boxes.

adell [148]

Answer:

y-intercept is 3

Step-by-step explanation:

We are given table

x: -8 -4 4 8

y: -3 0 6 9

We can select any two points

$x_1=-8,y_1=-3$

$x_2=-4,y_2=0$

Firstly, we will find slope

$m=\frac{y_2-y_1}{x_2-x_1}$

now, we can plug values

$m=\frac{0+3}{-4+8}$

$m=\frac{3}{4}\quad$

now, we can use point slope form of line

$y-y_1=m(x-x_1)$

we can plug values

$y+3=\frac{3}{4}(x+8)$

now, we can solve for y

$y=\frac{3}{4}x+3$

For finding y-intercept , we can plug x=0

$y=\frac{3}{4}\times 0+3$

$y=0+3$

$y=3$

So,

y-intercept is 3

8 0

3 years ago

Are these ordered pairs in direct variation (1 2) (2 3) (3 4)

OlgaM077 [116]

Yes, Because if you draw this into a graph it comes has a straight line going thought the origin

4 0

3 years ago

Read 2 more answers

Ava paid $4.90 for 2.5 pounds of walnuts. what is the cost of one pound of walnutKieth has a box of 416 crayons the he wants to

Nadusha1986 [10]

Okay so for the first one all you have to do is divide 4.90 by 2.5 and get 1.96. So your answer for the first on is $1.96.

For the second one you just have to divide 416 by 13 and you get 32. So each friend gets 32 crayons.

Hope this helped you (;

4 0

2 years ago

I am a number that is greater than 600 but less than 700. The sum of my digits is 18 and I'm not divisible by 2, 5,7, or 11. Wha

SVEN [57.7K]

I thought about this for a while and then recognized that this number is possibly divisible by {3, 4, 6, 8, 9, 10, 12, etc.}

So I look for possible sets of 3 numbers here that add up to 18. The first such set I recognized was {4, 6, 8}. These digits do add up to 18. Unfortunately, 468 is not in the desired range (600,700).

Thus, I could try either {6, 4, 8} or {6, 8, 4}.

There may be other combinations of 3 numbers (which must add up to 18).

Test 684. Is 684 between 600 and 700, not including 600 or 700? YES.

Is the sum of {6, 4, 8} equal to 18? YES. So, 648 is one possible answer. Are there others?

3 0

3 years ago