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Llana [10]
3 years ago
12

A construction company is assembling a slide in a children's playground. The slide is 7.4 m long. If the slide can have a maximu

m slope of 27 (degree), how high can the top of the slide be?
Mathematics
1 answer:
jolli1 [7]3 years ago
5 0
Let the maximum height of the top of the slide be h.
Now we can write:
sin 27=h/7.4
Rearranging the equation gives:
h=7.4 sin 27

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Oduvanchick [21]

Answer:

The coordinates of the midpoints are D(1.5, 2.5) and E(3.5, 2.5).

Step-by-step explanation:

plato

3 0
3 years ago
At the beginning of the year Monica puts a set amount of money into her health benefit account. Every month she withdraws $15 fr
nadezda [96]

Answer:

An equation in the slope-intercept form is:

  • y = 15x+210

Step-by-step explanation:

The slope-intercept form of the line equation

y = mx+b

where  m is the rate of change or slope and b is the y-intercept

Given

  • Let x represent the time in months
  • Let y represent the amount of money remaining in the account.

Given that every month Monica withdraws $15 from this account for her contact lenses

  • so, the rate of change or slope = m = 15

Given that after 3 months she has $255 left in her account.

i.e. (3, 255)

substituting m = 15, x = 3 and y = 255 in the slope-intercept form to determine the y-intercept

y = mx+b

255 = 15(3) + b

switch sides

15(3) + b = 255

45 + b = 255

b = 255 - 45

b = 210

Thus, the y-intercept b = 210

Now, substituting m = 15 and b = 210 in the slope-intercept form of the line equation

y = mx+b

y = 15x+210

Hence, an equation in the slope-intercept form is:

  • y = 15x+210
6 0
3 years ago
A colored chip is yellow on one side and red on the other. The chip was flipped 50 times and landed red side facing up 21 times.
faust18 [17]
42%

You have essentially a fraction, 21/50, which gives you a decimal of 0.42, or 42%.

(Flipped a total of 50 times, of those, it landed red side up 21 times, so 21/50)
8 0
3 years ago
I need help on this. please show your work.
ehidna [41]
The order of the size of angles is related to the order of the length that is opposite to that angle.

angle A is across from the smallest side, 2.4.
angle C is across from the middle side, 3.2
angle B is across from the longest side, 5.5

if you think about it, angle B has to be widest angle for it to accommodate the longest length (longer it is, the more you have to open). anlge A has to be the smallest angle for it to correspond with the smallest length

The order of smallest to largest is ∠A, ∠C, ∠B
8 0
4 years ago
The equation f(x) = x – 5 translated 4 units to the left is g(x) = ?
muminat

Answer:

g(x)=(x+4)-5

Step-by-step explanation:

I don't explain well but bascially translated to the left is adding 4 in the x with a paranthesis. Right is negative

5 0
3 years ago
Read 2 more answers
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