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Alekssandra [29.7K]
4 years ago
5

What is the volume of the composite figure shown below?

Mathematics
2 answers:
Alika [10]4 years ago
6 0
The answer must be d.
Maslowich4 years ago
4 0

Answer:

d

Step-by-step explanation:

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Perpendicular to the line 4x - 6y + 7 = 0 , passing through (3, 4) .
PilotLPTM [1.2K]

Answer:

The equation of line perpendicular to given line passing through (3,4) is:

y = -\frac{3}{2}x+\frac{17}{2}

Step-by-step explanation:

Given equation of line is:

4x - 6y + 7 = 0

Given equation is in standard form. It has to be converted into slope-intercept form to extract slope from the equation.

So,

4x+7 = 6y\\6y=4x+7\\\frac{6y}{6} = \frac{4x+7}{6}\\y = \frac{4}{6}x+\frac{7}{6}\\y=\frac{2}{3}x+\frac{7}{6}

The standard form of slope-intercept form of equation is:

y=mx+b

Here, the co-efficient of x is the slope of the line.

So the slope of given line is: 2/3

m = 2/3

The product of slopes of two perpendicular lines is -1

Let m1 be the slope of line perpendicular to given line

Then

m.m_1 = -1\\\frac{2}{3} . m_1 = -1\\m_1 = -1*\frac{3}{2}\\m_1 = -\frac{3}{2}

The equation of perpendicular will be:

y = m_1x+b

Putting the value of slope

y = -\frac{3}{2}x+b

To find the value of b, putting (3,4) in the equation

4 = -\frac{3}{2}(3)+b\\4 = -\frac{9}{2}+b\\b = 4+\frac{9}{2}\\b= \frac{8+9}{2}\\b=\frac{17}{2}

So the equation of line perpendicular to given line passing through (3,4) is:

y = -\frac{3}{2}x+\frac{17}{2}

7 0
3 years ago
An isosceles triangle has angle measures 50°, 50°, and 80°. The side across from the 80° angle is 10 inches long. How long are t
djverab [1.8K]

Answer: The value of other side is 7.8 inch.

Explanation:

It is given that the isosceles triangle has angle measures 50°, 50°, and 80°. The side across from the 80° angle is 10 inches long.

Let the given length of other equal sides be x.

The side across from the 50° angle is x inches long.

Law of sine,

\frac{a}{\sin A}= \frac{b}{\sin B} =\frac{c}{\sin C}

\frac{x}{\sin (50)}= \frac{10}{\sin (80)}

\frac{x}{0.766} =\frac{10}{0.9848}

x =\frac{10}{0.9848}\times (0.766)

x =7.778229 \approx 7.8

Therefore, the value of other side is 7.8 inch.

3 0
4 years ago
Read 2 more answers
It has been estimated that the price elasticity of demand for attending baseball games is 0.23. Other things held constant, a 10
Akimi4 [234]

Answer:

Correct option: (A) 43.48% fall in the price of a ticket.

Step-by-step explanation:

The price elasticity of demand is defined as the percent change in quantity demanded to the percent change in the price.

Price\ elasticity\ of\ demand=\frac{\%\ change\ in\ quantity\ demanded}{\%\ change\ in\ price}

Given:

Price elasticity of demand = 0.23

% change in quantity demanded = 10

Compute the % change in price as follows:

Price\ elasticity\ of\ demand=\frac{\%\ change\ in\ quantity\ demanded}{\%\ change\ in\ price}\\0.23=\frac{10}{\%\ change\ in\ price}\\{\%\ change\ in\ price}=\frac{10}{0.23}\\=43.4783\\\approx43.48

Thus, a 10 percent increase in attendance can be explained by a 43.48% fall in the price of a ticket.

7 0
3 years ago
Find the x and y intercepts of the line 2y = 4x - 5
OLga [1]

Divide by 2

Y = 2x - 2.5

x intercept: when y = 0

0 = 2x - 2.5

2.5 = 2x, x = 1.25

y intercept: when x = 0

Y = 2(0) - 2.5, y = -2.5

Solution: (1.25, 0) and (0, -2.5)

7 0
3 years ago
Read 2 more answers
What is the answer of 150⅗ – 10 – 129⅘​
Zanzabum

Answer:

10.8 or 5 4/5

Step-by-step explanation:

Im guess its right answer

3 0
3 years ago
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