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harkovskaia [24]
3 years ago
15

What is the value of x

Mathematics
2 answers:
Lilit [14]3 years ago
3 0

Answer:

4

Step-by-step explanation:

For the first triangle which is triangle <KJL

Hypotenuse= 8✓2

Angle=30°

Opposite = ?

Therefore we will use Sine formula

Sin30° = Y/8✓2

Y=4✓2

For the second triangle which is triangle <JML

Hypotenuse= 4✓2

Opposite=X

Angle=45°

Therefore we will use Sine formula again

Sin45°=X/4✓2

X=4

Natali [406]3 years ago
3 0

Answer:

<h2>             x = 4</h2>

Step-by-step explanation:

ΔJKL is half of equilateral triangle and ΔJML is half of square.

We can use properties of these triangles (picture):

m∠KJL=90° and m∠JKL = 30° ⇒  JL = 0.5KL = 0.5•8√2 = 4√2

m∠JML=90° and m∠MJL = 45° ⇒  JL = ML√2

                                                        4√2 = x√2

                                                             x = 4

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Marcus wants to use a model to determine the difference
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We want to see how we can model the difference: -8 - 3 + 3

The correct option is D:

"add 3 positive counters and 3 negative counters"

We know that Marcus starts with 8 negative counters, corresponding to the first term in our difference.

Now, let's study the math of our expression.

-8 - 3 + 3

Remember that we can perform the operation in any order we want, so we can write this as:

-8 + (-3 + 3)

Notice that the thing inside the parentheses is equal to zero, so we have:

- 8 + (-3 + 3) = -8

So to not change the value, we add 3 and we subtract 3.

Now if we have 8 negative counters, and we want to add 3 positive counters and not change the value, then we also need to add 3 negative counters to "cancel" the 3 positive counters we added.

Then the correct option is D.

To learn more about Marcus refer to,

brainly.com/question/23140234

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8 0
1 year ago
Copy and complete: b 7:8:9=__:12:_
kotykmax [81]

Answer:

10.5 : 12  : 13.5

Step-by-step explanation:

7:8:9

We need to get 8 to 12

12/8 = 3/2

We need to multiply each number by 3/2

7 * 3/2:8* 3/2  :9*3/2

21/2  : 12  : 27/2

10.5 : 12  : 13.5

7 0
3 years ago
How to calculate standard deviation given mean and sample size?
ad-work [718]
In addition to mean and sample size you will need the individual scores.

The formula for standard deviation is:

S^2 = E(X-M)^2/N-1

Here's an example: 
Data set: 4,4,3,1
Mean: 3
Sample size: 4

First, put the individual scores one after the other and subtract the mean from it.
4 - 3 = 1
4 - 3 = 1
3 - 3 = 0
1 - 3 = -2

Second, square the answers you got from step 1. 
1^2 = 1
1^2 = 1
0^2 = 0
-2^2 = 4
Third, plug the values from step 2 into the formula. 

S^2 = (1+1+0+4)/(4-1) = 6/3 = 2

Standard deviation = 2
3 0
3 years ago
The reciprocal of 7/2 is 2/7. What does that mean?
RoseWind [281]

Answer:2/7

Step-by-step explanation: A reciprocal is the "mirror image" of a fraction so the reciprocal is the fraction upside down.

3 0
2 years ago
Create a list of steps, in order, that will solve the following equation 1/4(x+5)^2-1=3
Paul [167]

Answer:

Add 1 to each side

Multiply each side by 4

Take the square root of each side

Subtract 5 from each side

Combine terms

Step-by-step explanation:

1/4(x+5)^2-1=3

Add 1 to each side

1/4(x+5)^2-1+1=3+1

1/4(x+5)^2=4

Multiply each side by 4

4*1/4(x+5)^2=4*4

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Take the square root of each side

sqrt((x+5)^2)=±sqrt(16)

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Subtract 5 from each side

x+5-5 = -5  ±4

x = -5  ±4

Combine terms

x = -5+4       x = -5-4

x = -1            x = -9

7 0
3 years ago
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