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Sveta_85 [38]
3 years ago
12

A number is equal to the sum of half a second number and 3. The first number is also equal to the sum of one-quarter of the seco

nd number and 5. The situation can be represented by using the graph below, where x represents the second number.
Which equations represent the situation?
y=1/2x+3 and y=1/4x+5
y=3x+1/2 and y=5x+1/4
y=2x+3 and y=4x+5
y=3x+2 and y=5x+4
Mathematics
2 answers:
Brrunno [24]3 years ago
6 0
Y=1/2+3 And y=1/4+5 hope this helps
vfiekz [6]3 years ago
3 0
The first one is correct so A
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A seesaw has a plank of 4.5 m long which is supported by a pivot at its center and moves in a vertical plane above the pivot. If
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Since the pivot pillar is 1 m above the ground, maximum angle can the seesaw beam move is 26.39°

The maximum angle can be gotten using trigonometric ratios answer the question,

<h3>What are trigonometric ratios?</h3>

Trigonometric ratios are the ratios of the sides of a triangle.

<h3>What are angles?</h3>

Angles are a measure of rotation or bearing.

Given that the seesaw plank is 4.5 m long and the pivot pillar is 1 m above the ground, when the seesaw is at maximum angle, it forms a right angled triangle with the ground.

It also forms a smaller similar triangle with the same maximum angle Ф which is gotten from the trigonometric ratio

sinФ = h/L where

  • h = height of pivot pillar above ground = 1 m and
  • L = length of midpoint of plank = 4.5m/2 = 2.25 m
<h3>Maximum angle seesaw beam can move</h3>

So, Ф = sin⁻¹(h/L)

= sin⁻¹(1 m/2.25 m)

= sin⁻¹(1/2.25)

= sin⁻¹(0.4444)

= 26.39°

So, maximum angle can the seesaw beam move is 26.39°

Learn more about maximum angle here:

brainly.com/question/26870667

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Daniel wanted to know his approximate score on the final exam for his mathematics class. His professor hinted that his score was
Marizza181 [45]

Answer:

The raw score for his exam grade is 99.69.

Step-by-step explanation:

Given : The professor announced that the mean for the class final exam was 88 with a standard deviation of 7. Given Daniel's z score of 1.67.

To find : What is the raw score for his exam grade?

Solution :

The formula use to find the z-score is

z=\dfrac{x-\mu}{\sigma}

Where, z=1.67 is the z-score

\mu=88  is the means

\sigma=7 is the standard deviation

x  is the raw score for his exam grade

Substitute the values,

1.67=\dfrac{x-88}{7}

1.67\times 7=x-88

11.69=x-88

x=88+11.69

x=99.69

Therefore, the raw score for his exam grade is 99.69.

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