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Montano1993 [528]

3 years ago

13

Brian’s kite is flying above a field at the end of 65m of string. If the angle of elevation to the kite measures 70; how high is

the kite above Brian’s head?

1 answer:

REY [17]3 years ago

7 0

If the height is h, then h/65=sin70, so h=65sin70=61.08m approx.

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A line segment has endpoint j(2,4) and l(6,8).the point k is the midpoint of jl.what is an equation of a line perpendicular to j

GenaCL600 [577]

The equation of the line is:
y-yo = m (x-xo)
Where,
m = (y2-y1) / (x2-x1)
Substituting values:
m = (8-4) / (6-2)
m = (4) / (4)
m = 1
Then, the equation is:
y-4 = 1 * (x-2)
Rewriting:
y = x-2 + 4
y = x + 2
The midpoint is:
k = ((x1 + x2) / 2, (y1 + y2) / 2)
k = ((2 + 6) / 2, (4 + 8) / 2)
k = ((8) / 2, (12) / 2)
k = (4, 6)
Then, the equation of the perpendicular line that passes through k is:
y = -x + b
Looking for b we have:
6 = -4 + b
b = 6 + 4
b = 10
Substituting:
y = -x + 10
Answer:
An equation of a line perpendicular to jl and passing through k is:
y = -x + 10

3 0

3 years ago

If each of the 4 shelves holds 14 movies, how many movies does Betty have on her shelving unit? Show your work.

Flura [38]

Answer:

56

Step-by-step explanation:

Multiply 4 by 14 to get your answer.

8 0

3 years ago

Jada was using square stickers with a side length of 3/434 inch to decorate the spine of a photo album. The spine is 10 1/21012

Yuki888 [10]

Answer: The number of stickers she used to cover the length of the spine = 14.

Step-by-step explanation:

Given: The length of spine = $10\dfrac12$ inches = $\dfrac{21}{2}$ inches

Length of each sticker = $\dfrac34$ inch

If she laid the stickers side by side without gaps or overlaps, the number of stickers she use to cover the length of the spine = $\text{(Length of spine)}\div (\text{Length of each sticker})$

$=\dfrac{21}{2}\div\dfrac{3}{4}\\\\=\dfrac{21}{2}\times\dfrac{4}{3}\\\\=\dfrac{7\times2}{1}=14$

The number of stickers she used to cover the length of the spine = 14.

4 0

3 years ago

2 2/3 x 2 2/3 please

Ivan

Hello
Here the answer goes
7 1/9
Good luck

5 0

3 years ago

Evaluate the expression, using the given value of the variable.

Bond [772]

$4-2x+5x=\ \ \ \ | grouping\ numbers\\\\
4+3x\ \ \ \ | substitute\ x=4\\\\
4+3*4=4+12=16\\\\
Answer\ is\ C.$

8 0

3 years ago