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Genrish500 [490]

4 years ago

6

A motor is 85.4 % efficient: that is, the output is 85.4 % of the input. What is the input if the motor delivers 10.75 hp. ( Rou

nd your answer to 1 decimal place.)

1 answer:

Ludmilka [50]4 years ago

5 0

Answer:

12.6 hp

Step-by-step explanation:

Represent the input by n. 10.75 hp

Then 0.85n = 10.75 hp, and n (the input) is --------------- = 12.6 hp

0.85

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Question 1<br> Simplify<br> √-100?

Hitman42 [59]

Answer:

√100 = 10

so √-100 =

i√10

6 0

3 years ago

Use the intermediate value theorem to determine whether the polynomial function has a real zeros between the given integers.

zavuch27 [327]

$f(1)=-5\cdot1^4+8\cdot1^3+6\cdot1+1=-5+8+6+1=10\\
f(2)=-5\cdot2^4+8\cdot2^3+6\cdot2+1=-80+64+12+1=-3\\\\
f(1)>0\\
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4 years ago

In Triangle XYZ, measure of angle X = 49° , XY = 18°, and

marissa [1.9K]

Answer:

There are two choices for angle Y: $Y \approx 54.987^{\circ}$ for $XZ \approx 15.193$ , $Y \approx 27.008^{\circ}$ for $XZ \approx 8.424$ .

Step-by-step explanation:

There are mistakes in the statement, correct form is now described:

<em>In triangle XYZ, measure of angle X = 49°, XY = 18 and YZ = 14. Find the measure of angle Y:</em>

The line segment XY is opposite to angle Z and the line segment YZ is opposite to angle X. We can determine the length of the line segment XZ by the Law of Cosine:

$YZ^{2} = XZ^{2} + XY^{2} -2\cdot XY\cdot XZ \cdot \cos X$ (1)

If we know that $X = 49^{\circ}$ , $XY = 18$ and $YZ = 14$ , then we have the following second order polynomial:

$14^{2} = XZ^{2} + 18^{2} - 2\cdot (18)\cdot XZ\cdot \cos 49^{\circ}$

$XZ^{2}-23.618\cdot XZ +128 = 0$ (2)

By the Quadratic Formula we have the following result:

$XZ \approx 15.193\,\lor\,XZ \approx 8.424$

There are two possible triangles, we can determine the value of angle Y for each by the Law of Cosine again:

$XZ^{2} = XY^{2} + YZ^{2} - 2\cdot XY \cdot YZ \cdot \cos Y$

$\cos Y = \frac{XY^{2}+YZ^{2}-XZ^{2}}{2\cdot XY\cdot YZ}$

$Y = \cos ^{-1}\left(\frac{XY^{2}+YZ^{2}-XZ^{2}}{2\cdot XY\cdot YZ} \right)$

1) $XZ \approx 15.193$

$Y = \cos^{-1}\left[\frac{18^{2}+14^{2}-15.193^{2}}{2\cdot (18)\cdot (14)} \right]$

$Y \approx 54.987^{\circ}$

2) $XZ \approx 8.424$

$Y = \cos^{-1}\left[\frac{18^{2}+14^{2}-8.424^{2}}{2\cdot (18)\cdot (14)} \right]$

$Y \approx 27.008^{\circ}$

There are two choices for angle Y: $Y \approx 54.987^{\circ}$ for $XZ \approx 15.193$ , $Y \approx 27.008^{\circ}$ for $XZ \approx 8.424$ .

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3 years ago

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Marina86 [1]

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3 years ago

Read 2 more answers

The product of two consecutive positive even integers is 14 more than their sum. Set up an equation that can

Nana76 [90]

Answer:

<em>The numbers are 4 and 6</em>

<em />

Step-by-step explanation:

Let

x------> be the first positive even integer

x+2---> be the second positive even integer

<em>we know that the solution is a positive value</em>

<em />

<u>The numbers are 4 and 6</u>

Hope this helps!

<em>stay safe</em>

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4 years ago