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blondinia [14]
2 years ago
6

What are the values of x and y?

Mathematics
1 answer:
d1i1m1o1n [39]2 years ago
8 0

Answer:

Step-by-step explanation:

y is the value obtained from 4 and 12

y^2  =  4 * 12            Combine

y^2 = 48                   Square root both sides.

√y^2 = √48

y = √(3 * 4 * 4)

y = 4√3

Use the Pythagorean Theorem to obtain x

x^2 = y^2 + 4^2

x^2 = 48 + 16

x^2 = 64                    Take the square root of both sides

√x^2 = √64

x = 8

Answer

  • x = 8
  • y = 4√3

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Samantha is making special edition hazelnut and almond chocolate boxes to give to her friends. It costs Samantha $15 to make one
Colt1911 [192]

Answer:

5

Step-by-step explanation:

6 0
3 years ago
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A coin is tossed 7 times. What is the probability that the number of heads obtained will be between 2 and 7 inclusive? Express y
Marina CMI [18]

Answer:

0.9375

Step-by-step explanation:

Given the following :

Number of coin tosses = 7

Probability that number of heads obtained will be between 2 and 7 inclusive?

x = 2,3,4,5,6,7

Probability (P) = number of required outcomes / total possible outcomes

For a coin toss = 1 Head (H), 1 tail (T)

P(H) = 1 / 2

P(X) = C(7,x) * (1/2)^7

P(X) = C(7, x) / 0.5^-7

P(X) = [C(7,2) + C(7, 3)+ C(7,4) +C(7,5) + C(7,6) +C(7,7)] / 128

P(X) = (21 + 35 + 35 + 21 + 7 + 1) / 128

P(X) = 120 / 128

P(X) = 0.9375

5 0
3 years ago
Given that A=27, B=43 and c=17, solve triangle ABC to the nearest hundredth
katrin2010 [14]
When we are given 3 sides, we try to solve the angles first by using the
law of cosines
cos (A) = [b^2 + c^2 - a^2] / (2 * b * c)
cos (A) = [43^2 + 17^2 -27^2] / (2 * 43 * 17)
cos (A) = [1,849 + 289 -729] / <span> <span> <span> 1,462
</span></span></span>cos (A) = 1,409 / 1,462
cos (A) = <span> <span> <span> 0.96374829001368
Angle A = 15.475

Now that we have one angle, we next can use the
Law of Sines
sin(B) / side b = sin(A) / side a
sin(B) = sin(A) * sideb / sidea
</span></span></span><span>sin(B) = sin(15.475) * 43 / 27
</span><span>sin(B) = 0.26682 * 43 / 27
sin (B) = </span><span>0.424935555555</span>
Angle B = 25.147 Degrees
Remember the arc sine (<span>0.424935555555) also equals </span> <span> <span> <span> 154.85

</span></span></span>Finally, calculating the third angle is quite easy
Angle C =  180 - Angle (A) - Angle(B)
Angle C =  180 - 15.475 - 154.85
Angle C =  9.675

Source:
http://www.1728.org/trigtut2.htm


6 0
2 years ago
Find the exact value of cos 120° in simplest form with a rational<br> denominator.
IRINA_888 [86]

Given:

cos 120°

To find:

The exact value of cos 120° in simplest form with a rational  denominator.

Solution:

We have,

\cos 120^\circ

It can be written as

\cos 120^\circ=\cos (90^\circ+30^\circ)

\cos 120^\circ=-\sin 30^\circ             [\because \cos (90^\circ-\theta)=-\sin \theta]

\cos 120^\circ=-\left(\dfrac{1}{2}\right)             [\because \sin 30^\circ=\dfrac{1}{2}]

\cos 120^\circ=-\dfrac{1}{2}

Therefore, the exact value of cos 120° is -\dfrac{1}{2}.

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2 years ago
The tens digit is missing from the three-digit number 8 _ 9. If the tens digit is to be randomly selected from the ten different
PIT_PIT [208]

Step-by-step explanation:

Only 1 number works. 1 will make 819 which is divisible by 9.

Since it is 1 of ten numbers can go in the blank, the answer is 1/10 which is 0.1

The 10 number choices are

0,1,2,3,4,5,6,7,8,9

The only one that works is 1 as I've stated.

4 0
3 years ago
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