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kolbaska11 [484]
3 years ago
12

#5-10: Identify which line from the graph the following right triangles could lie on.

Mathematics
1 answer:
vovikov84 [41]3 years ago
8 0

Answer:

10

Step-by-step explanation:

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Select the correct answer. The radius of a nitrogen atom is 5. 6 × 10-11 meters, and the radius of a beryllium atom is 1. 12 × 1
Grace [21]

A negative exponent means the number of the exponent divide by the number. The the radius of beryllium atom is larger than the radius of a nitrogen atom by two times.

Given information-

The radius of a nitrogen atom is 5.6\times10^{-11} meters.

The radius of a beryllium atom is 1.12 \times10^{-10} meters

<h3>Negative exponents</h3>

A negative exponent means the number of the exponent divide by the number.

As the radius of the nitrogen atom is 5.6\times10^{-11} meters. Convert it in the power of negative exponent of 10.

Let the radius of the nitrogen is r mm. Thus,

r=5.6\times 10^{-11}\\&#10;r=5.6\times 10^{-10-1}\\&#10;r=5.6\times 10^{-10}\times10^{-1}\\&#10;r=\dfrac{5.6\times 10^{-10}}{10} \\&#10;r=0.56\times 10^{-10}

Now the base of the exponents of both the atoms are same. As the radius of the nitrogen atom is 0.56\times 10^{-10} meters and the radius of the beryllium atom is 1.12 \times10^{-10}. Thus the radius of beryllium atom is larger.

To calculate how many times, the radius of beryllium atom should be divided by the radius of a nitrogen atom. Thus,

=\dfrac{1.12\times10^{-10}}{0.56\times10^{-10}} \\&#10;=2

Thus the the radius of beryllium atom is larger than the radius of a nitrogen atom by two times.

Learn more about the negative exponents here;

https://brainly.in/question/1221452

7 0
2 years ago
Find the missing values of the variables. The diagram is not to scale.
Paul [167]

Answer:

y = 64  and x =99

Step-by-step explanation:

y+116 =180

y=64

and

x+y+72+135=360

x=99

5 0
3 years ago
Can someone tell me what’s going on here
lora16 [44]

Answer:

c = 105 degres

Step-by-step explanation:

When two lines cross like that and form an x, the opposite sides are equal (so the angle below the 75 degree one is also 75 degees). Using this, you can figure out the rest.

If both the top an bottom are equal, you know that 150 degres are taken (75+75) and you know that there can only be 360 degres in total here, so you subtract 150 from 360 and get 210. Now you know that the last two sides together are 210, and since they are equal, you divide it by two to get 105 degrees.

8 0
3 years ago
A friend of yours, a senior, took the Graduate Record Exam in September and scored in the 99th percentile. In February, your fri
soldi70 [24.7K]

His/her lowered score was most likely due to statistical regression.

<h3>How to determine the reason?</h3>

The missing options in the question are:

A. compensation rivalry  B. Demoralization C.  Differential selection

D.  Testing E.  Statistical regression

From the question, we have:

  • September = 99th percentile
  • February = 90th percentile

A change (whether higher or lower) in the score is caused by statistical regression.

This is so because several variables could attribute to the change in the score.

The relationship between these variables is referred to as statistical regression

Read more about statistical regression at:

brainly.com/question/25987747

#SPJ12

3 0
2 years ago
Solve 4 cos2x-3 = 0 for all real values of x.
vichka [17]

4 cos² x - 3 = 0

4 cos² x = 3

cos² x = 3/4

cos x = ±(√3)/2

Fixing the squared cosine doesn't discriminate among quadrants.  There's one in every quadrant

cos x = ± cos(π/6)

Let's do plus first.  In general, cos x = cos a has solutions x = ±a + 2πk integer k

cos x = cos(π/6)

x = ±π/6 + 2πk

Minus next.

cos x = -cos(π/6)

cos x = cos(π - π/6)

cos x = cos(5π/6)

x = ±5π/6 + 2πk

We'll write all our solutions as

x = { -5π/6, -π/6, π/6, 5π/6 } + 2πk integer k

3 0
3 years ago
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