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svet-max [94.6K]
2 years ago
12

What is the measure of the missing angle in this triangle Yes

Mathematics
2 answers:
sladkih [1.3K]2 years ago
8 0

Answer:

The measure of the missing angle is 25 degrees.

oksano4ka [1.4K]2 years ago
6 0
Answer = 25

Sum of angles in a triangle is 180.

To find the missing angle:

180 - total of other given angles = missing angle

Total of other given angles = 155

180 - 155 = 25
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A company’s profit in dollars is modeled by the equation p(x) = –0.5x2 + 100x, where x represents the number of units sold.
serg [7]

Answers:

a. The company needs to sell 100 units to reach the maxmum profit.

b. The company's maximum profit is $5,000.

Solution:

a. How many unit does the company need to sell to reach the maximum profit?

p(x)=-0.5x^2+100x

This is a quadratic equation, and its graph is a parabola vertical (because the veriable "x" is square). Comparing with the general form:

p(x)=ax^2+bx+c; a=-0.5, b=100, c=0

a=-0.5<0 (negative), then the parabola opens downward, and it has a maximimun value (maximum profit) at its vertex.

We can find the abscissa of the vertex (units that the company needs to sell to reach the maximum profit using the following formula:

x=-b/(2a)

Replacing b by 100 and a by -0.5 in the formula above:

x=-100/[2(-0.5)]

x=-100/(-1)

x=100

The company needs to sell 100 units to reach the maximum profit.


b. What's the company's maximum profit?  

To determine the maximum profit we substitute the value of "x" obrained in part "a" in the quadratic equation:

x=100→p(100)=-0.5(100)^2+100(100)

p(100)=-0.5(10,000)+10,000

p(100)=-5,000+10,000

p(100)=5,000

The company's maximum profit is $5,000.

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3 years ago
A and b are identical batteries, which is brighter
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Give better description if they are both identical
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In onenote show how many positive integers less than 50 are multiples of 4, but not multiples of 6
dimaraw [331]
Multiples of 4 = 4 8 12 16 20 24 28 32 36 40 44 48

After Removing multiples of 6= 4 8 16 20 28 32 40 44
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3 years ago
50,000 x (2 + 5/100)<br> 50,000 x (3 + 5/100)<br> 50,000 x (4 + 5/100)<br> 50,000 x (5 + 5/100)
ELEN [110]

Answer:

Solution for What is 5 percent of 50000:

5 percent *50000 =

( 5:100)*50000 =

( 5*50000):100 =

250000:100 = 2500

Step-by-step explanation:

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3 years ago
Which graph shows a proportional relationship?
kherson [118]

Answer:

The second option

Step-by-step explanation:

The rate of change needs to stay constant.

The rate of change can be explained by looking at the "rise" (y) over the "run"(x)

The rate of change for the second option is 2.  We know this because...

Rise(2)

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Run(1)

Try looking at one of the points, now go up 2 and over 1, you should now be at the second point, do it again but twice, you should now be at the third point. A proportional relationship must also go through the origin (0,0)

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