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ivann1987 [24]
3 years ago
6

PLZ HELP ASAP I’ll NAME YOU BRAINLIEST + 20 POINTS

Mathematics
1 answer:
vredina [299]3 years ago
6 0

Answer:

105 degrees

Step-by-step explanation:

The measure of the exterior angle of a triangle is equal to the sum of the measures of the other angles of the triangle.

Given that, we know the missing angle is 25 + 80 = 105.

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A pumpkin is launched directly upwards at 72 feet per second from a platform 24 feet high. The pumpkins height, h, at time t sec
STALIN [3.7K]

Answer: Maximum height =  105 feet

And, It takes 9/4 seconds to reach that point.

Step-by-step explanation:

Here the given function that shows the height of the pumpkin,

h(t) = -16t^2 + 72t + 24 --------(1)

Where t is the time in second.

Differentiating equation (1) with respect to t,

We get,    h'(t) = -32 t + 72

Again differentiating above equation with respect to t,

We get,   h''(t) = -32

For maximum or minimum,    h'(t) = 0

- 32 t + 72 = 0

32 t = 72

t = \frac{9}{4}

At t = 9/4 , h''(t) = Negative value,

Therefore, At t = 9/4 seconds, h(t) is maximum,

And, the maximum value is,

h(\frac{9}{4} ) = -16(\frac{9}{4})^2 + 72(\frac{9}{4}) + 24

h(\frac{9}{4} ) = -16(\frac{81}{16})+ 72(\frac{9}{4}) + 24

h(\frac{9}{4} ) = -81 + 162 + 24=105

Therefore, the maximum height of the pumpkin is 105 feet at 9/4 seconds

8 0
2 years ago
Rectangle A has a length of 2x + 6 and a width of 3x. Rectangle B has a length of x + 2 and an area of 12 square units greater t
Maurinko [17]
So here is how you solve for the answer.
Firstly, you solve for the Area of Rectangle A.
The formula for Area is Length x width.
So A = (2x + 6)(3x) and the result is: 6x^2 + 18x
Now, let y be the width of rectangle B.
<span>(x+2) (y) = 6x^2 + 18x + 12
(x+2) y = 6(x+1)(x+2)
y = 6(x+1)
</span>So the final answer would be width is 6x + 6. The answer is the third option. Hope this answer helps.
7 0
3 years ago
In the figure below, find x. Assume that segments that appear to be tangent are tangent. Round to the nearest tenth.​
vichka [17]

Check the picture below.

4 0
2 years ago
A moving company charges $0.60 per pound for a move from New York to Florida. A family estimates that their belongings weigh abo
m_a_m_a [10]
8000 x .60 = $48.00
This is because 4 tons = 8000 pounds.
7 0
2 years ago
Read 2 more answers
A survey of 80 sophomores at a certain western college showed that
DIA [1.3K]
<span>1. take English and niether of the other two? 
</span>36-6 that we know take all 3
This leave 30.
Subtract the 6 from those taking history and English.  Leaves 10.
Subtract the 10 from those taking English. 
This leaves 20.
Subtract the 6 from those taking political science and English.  Leaves 8.
Subtract 8 from those taking English.
Leaves 12
<span>
2. take none of the three courses? </span>
<span>
3. take history, but niether of the other two 
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32-6 = 26 -10=16-10=6
<span>
4. take political science and history but not english 
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Hope at least the partial answer helps!
3 0
3 years ago
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