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ipn [44]
3 years ago
12

A 4 foot broom is leaning against a wall. The bottom of the broom is 1 foot from the wall. What angle does the broom make with t

he wall
Mathematics
1 answer:
anyanavicka [17]3 years ago
6 0

Answer:

14.5 degree

Step-by-step explanation:

sinα=1/4

Therefore, α=14.5°

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Maria's height while jumping on a a trampoline can be modeled by the equation h=-16t^2+18t+5. Where t=time in seconds and h=heig
Vadim26 [7]

Answer:

10.06 ft

Step-by-step explanation:

Maria's maximum height will occur when her velocity reaches zero (0). This means that she has stopped ascending and is about to begin descent.

The equation for the height reached by Maria on the trampoline is given as:

h=-16t^2+18t+5

To find her maximum height, we first have to find the time it will take her to get to that height and corresponding velocity (zero).

Her velocity can be found by differentiating her height i.e. dh/dt:

v = \frac{dh}{dt} = -32t + 18

Therefore, when v = 0:

0 = -32t+ 18\\\\=> 32t= 18\\\\t = 18 / 32 = 0.5625 secs

It takes her 0.5625 seconds to get to her maximum height.

Therefore, her height at that time (0.5625 seconds) is:

h=-16(0.5625)^2+18(0.5625)+5\\\\h = -16 * (0.3164) + 10.125+5\\\\h = -5.0624 + 15.125\\\\h = 10.06 ft

Therefore, her maximum height is 10.06 ft.

3 0
3 years ago
What is 1.21 repeating as a fraction?
DochEvi [55]
x=1.\overline{21}\\
100x=121.\overline{21}\\
100x-x=121.\overline{21}-1.\overline{21}\\
99x=120\\
x=\dfrac{120}{99}=\dfrac{40}{33}
6 0
3 years ago
Read 2 more answers
Solve this please with an explanation of process your finding the values of x and y
SpyIntel [72]

Congruent sides, so isosceles triangle.  When we have an isosceles triangle the bisector of angle A is a perpendicular bisector of BC with foot D.   So x=ADB=90 degrees.

Angle B is 47 degrees and angle y=BAD is complementary, the other acute angle in a right triangle.

y = 90 - 47 = 43

Answer: x=90, y=43

4 0
3 years ago
Joel made some muffins he gave 1/4 of the muffins to a neighbor. He took 3/8 of the muffins to school. What fraction of the muff
geniusboy [140]
3/8 of the muffin is left
4 0
3 years ago
A media company wants to track the results of his new marketing plan so the video production manager recorded the number of use
konstantin123 [22]

Answer:

f(x)=5120(5)^{x}

Step-by-step explanation:

From the image, f(x) and x are rlated by

f(x)=a( {b})^{x}

where b is the common ratio

We first find the value for b

\frac{6400}{5120}= 5

\frac{8000}{6400}= 5

\frac{10000}{8000} = 5

\frac{12500}{10000} = 5

\frac{15625}{12500}=5

so we can say the common ratio, b=5

we put in any value of f(x) and the corresponding value for x to find a value

Let put x=0 and f(x)=5120

This implies that

5120 = a(5)^{0}

but

5^{0} = 1

Hence a=5120

Thus the equation which model the relationship between the weeks and the viewers is

f(x)=5120(5)^{x}

6 0
3 years ago
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