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3 years ago

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.
(x+2) (y) = 6x^2 + 18x + 12
(x+2) y = 6(x+1)(x+2)
y = 6(x+1)
So the final answer would be width is 6x + 6. The answer is the third option. Hope this answer helps.

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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]

1. take English and niether of the other two?
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

2. take none of the three courses? 

3. take history, but niether of the other two
Do the same with history as we did with English.
32-6 = 26 -10=16-10=6

4. take political science and history but not english
16-6 (that take all 3) = 10

Hope at least the partial answer helps!

3 0

3 years ago