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Vera_Pavlovna [14]
2 years ago
5

What is the measure of the other acute angle ?

Mathematics
1 answer:
Vaselesa [24]2 years ago
7 0

Answer:

62^{o}

Step-by-step explanation:

All the angles in a triangle add up to 180^{o}

Every right angle triangle has a right angle in it which is 90^{o}

So to find the remaining angle, you do 180^{o} - 90^{o} - 28^{o} = 62^{o}

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Horizontal lines are __________ perpendicular to vertical lines. question 10 options:
LenKa [72]
A. Always
These lines<span> are </span>perpendicular<span> since their slopes are negative reciprocals.</span>
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3 years ago
2) Shane puts aside $40 per week for his monthly car payment. He earns $320 per week.
ExtremeBDS [4]

Answer:

12.5%

Step-by-step explanation:

320 divided by 40 = 8

100 divided by 8 = 12.5

100% is 320 dollars, which means that 40 dollars is 1/8 of 320. And 1/8 of 100 is 12.5%

8 0
3 years ago
This question has several parts that must be completed sequentially. If you skip a part of the question, you will not receive an
maxonik [38]

Answer:

5.0 ft-lbf

Step-by-step explanation:

The force is

F = \dfrac{9}{6^x}

This force is not a constant force. For a non-constant force, the work done, <em>W</em>, is

W = \int\limits^{x_2}_{x_1} {F(x)} \, dx

with x_1 and x_2 the initial and final displacements respectively.

From the question, x_1  =0 and x_2 = 12.

Then

W = \int\limits^{12}_0 {\dfrac{9}{6^x}} \, dx

Evaluating the indefinite integral,

\int\limits \dfrac{9}{6^x} \, dx  =9 \int\limits\!\left(\frac{1}{6}\right)^x \, dx

From the rules of integration,

\int\limits a^x\, dx = \dfrac{a^x}{\ln a}

9 \int\limits \left(\frac{1}{6}\right)^x \, dx = 9\times\dfrac{(1/6)^x}{\ln(1/6)} = -5.0229\left(\dfrac{1}{6}\right)^x

Returning the limits,

\left.-5.0229\left(\dfrac{1}{6}\right)^x\right|^{12}_0 = -5.0229(0.1667^{12} - 0.1667^0) = 5.0229 \approx 5.0 \text{ ft-lbf}

4 0
3 years ago
Please help in simplifying
alukav5142 [94]
The final answer would be:
9x / (x-8)

The exact steps are shown in the attached picture.
Note that when dividing two fractions, we convert the division into multiplication and flip the second term.

6 0
3 years ago
Read 2 more answers
What are the solutions to the quadratic equation (5y + 6)2 = 24?
Ivenika [448]

Answer:

y = \frac{2\sqrt{6} }{5} -\frac{6}{5}  OR  y = \frac{-2\sqrt{6} }{5} -\frac{6}{5}

Step-by-step explanation:

Our quadratic equation is: (5y + 6)² = 24.

The first step is to square root both sides:

5y + 6 = ±√24 = ±2√6

Now subtract 6 from both sides:

5y = ±2√6 - 6

Finally divide by 5 from both sides:

y = \frac{2\sqrt{6} }{5} -\frac{6}{5}  OR  y = \frac{-2\sqrt{6} }{5} -\frac{6}{5}

And, those are the solutions to the equation.

7 0
3 years ago
Read 2 more answers
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