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Mademuasel [1]
3 years ago
11

Find the missing side lengths​

Mathematics
1 answer:
AURORKA [14]3 years ago
5 0

Answer:

X = 18

Y = 9√3

Step-by-step explanation:

use sin equation for right angle triangle

The sine of the angle

= ( the length of the opposite side ÷ the length of the hypotenuse.)

according to this question,

sin 30 = 9 / X

1/2 = 9 / X

X = 18

use cosine to find y

The cosine of the angle

= (the length of the adjacent side ÷ the length of the hypotenuse.)

cos 30 = y/x

√3/2 = y/ 18

y = 9 ✓3

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can someone please help I don’t get it and I just want answers I have been trying to solve this for 1 hour now
dusya [7]

Answer:

1. y + 10 - 3/2y = -y/2 + 10

2. 2r+ 7r-r - 9 = 8r - 9

3.  7 + 4p-5+p+2q = 2 + 5p + 2q

Step-by-step explanation:

basically you can add terms that have the same variable

integers can be added together, Xs can be added, Zs, Ys, As, Bs, Cs, you get the point

1. y + 10 - 3/2y = -y/2 + 10

2. 2r+ 7r-r - 9 = 8r - 9

3.  7 + 4p-5+p+2q = 2 + 5p + 2q (do not add different variables p and q ) together

try 4-6 on your own to get this skill down, if you need help with those just let me know

7 0
3 years ago
Suppose a three-seat city council election. For each seat, one progressive and one conservative is running, and voters must choo
Kitty [74]

Answer:

The probability that conservative party wins all 3 seats is 0.216

The probability that conservative party wins exactly two seats is 0.432

Step-by-step explanation:

Consider the provided information.

The probability of a conservative candidate winning is p=0.6.

The probability of one progressive candidate will win is: 1-0.6=0.4

Part (a) What is the probability that the conservative party wins all three seats?

According to binomial distribution: b(x; n, p) =^nC_xp^x(1- p)^{n-x}

P(x=3) =^3C_3(0.6)^3 (0.4)^{3-3}

P(x=3) =(0.6)^3

P(x=3)=0.216

P(conservative party wins all 3 seats) = 0.216

Hence, the probability that conservative party wins all 3 seats is 0.216

Part (a) What is the probability that the conservative party wins exactly two seats?

P(x=2) =^3C_2(0.6)^2 (0.4)^{3-2}

P(x=2) =3(0.36)(0.4)

P(x=2) =0.432

Hence, the probability that conservative party wins exactly two seats is 0.432

5 0
4 years ago
You spend $30.40 on 4 CDs. Each CD costs the same amount and is on sale for 80% of the original price.
gizmo_the_mogwai [7]
Answer: The original price is $9.5
In this question, you are given the total spending( $30.40), amount of spend (4CDs) and the discounted price(80%). Then to find the original price of the CD, the calculation would be:

Total spending = amount of cd x CD discounted price
$30.40 = 4 x 0.8 Original price
3.2 Original price= $30.40
Original price= $9.5
4 0
3 years ago
Logan bought 10 balloons.Two-fifths of the balloons are purple how many of the balloons are purple? Draw a model to show how you
seropon [69]
4 purple balloons is the answer
7 0
2 years ago
Write a equation that is parallel to 5x-y=4
ozzi
Let's have this equation equal y first. All we have to do is add y to both sides and subtract 4 from both sides.
5x-4=y
Now, to get a parallel line, the y intercept has to change. The y intercept (the -4 in the equation) can be an infinite amount of number but -4.
Let's choose 6. We would have 5x+6=y or you could put it in the way the other equation was, 5x-y=-6.
6 0
4 years ago
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