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3 years ago

Help ASAP Plz !!!!

Mathematics

1 answer:

evablogger [386]3 years ago

8 0

Answer:

The distance between opposite corners of the windowpane is 8.5 inches (rounding to the nearest tenth).

Step-by-step explanation:

1. Let's use the Pythagorean Theorem to find the distance between opposite corners of the windowpane:

With the information given, we have a right triangle with the distance between opposite corners of the windowpane as the hypotenuse and its sides of 6 inches as the width and length of the windowpane and as sides of the right triangle.

Distance between opposite corners of the windowpane ² = Width of the windowpane ² + Length of the windowpane ²

Replacing with the real values:

Distance between opposite corners of the windowpane ² = 6² + 6²

Distance between opposite corners of the windowpane ² = 36 + 36

Distance between opposite corners of the windowpane ² = 72

√ Distance between opposite corners of the windowpane² = √72

Distance between opposite corners of the windowpane = 8.5 inches (rounding to the nearest tenth)

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Mariana averaged 80 on her first three math exams. The first score was 86. The second score was 74. What was the third exam scor

Anna71 [15]

The three scores are 86, 74, and an unknown score x. The average (i.e. the sum divided by how many there are) is 80, so we have

$\dfrac{86+74+x}{3}=80$

Multiply both sides by 3 and you get

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Subtract 160 from both sides to get

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Note: you could solve this exercise very quickly if you notice that the two numbers, 86 and 74, are symmetrical with respect to 80, which is the average. So, the third number must be the average.

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2 years ago

Write the equation of a line in slope intercept form that has a slope of 1/5 and contains (-10,6)

VLD [36.1K]

Answer:

y = $\frac{1}{5}$ x + 8

Step-by-step explanation:

The equation of a line in slope- intercept form is

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here m = $\frac{1}{5}$ , hence

y = $\frac{1}{5}$ x + c ← is the partial equation

To find c substitute (- 10, 6) into the partial equation

6 = - 2 + c ⇒ c = 6 + 2 = 8

y = $\frac{1}{5}$ x + 8

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3 years ago

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3 years ago

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2 years ago

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Answer:

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Step-by-step explanation:

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2 years ago

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