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Vikentia [17]
3 years ago
7

A group of students head out to Tom's Burgers. If five

Mathematics
1 answer:
Nastasia [14]3 years ago
5 0
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Jacob Is Twice as old as Sue. The sum of their ages is 69 years. How old is Jacob?
NemiM [27]
x-Sue\\2x-Jacob\\\\x+2x=69\\\\3x=69\ \ /:3\\\\x=69:3\\\\x=23-Sue\\\\2x=2\cdot23=46-Jacob\\\\Answer:Jacob\ is\ 46.
7 0
3 years ago
A fishing lodge wants to build a new boat ramp. The slope of the ramp must be 8° to the horizontal. The total height of the bank
Likurg_2 [28]

Answer:

The length of the sloping section of the ramp is 20.12 m

Step-by-step explanation:

Given;

the total height of the bank, h = 2.8 m

The slope of the ramp must be 8° to the horizontal, i.e, θ = 8°

Let the length of the sloping section = L

let the horizontal distance between the height of the bank and sloping section = b

Thus, h, L and b forms three sides of a right angled-triangle, with L as the hypotenuse side, h  (height of the triangle) as the opposite side and b  (base of the triangle) as the adjacent side.

We determine L by applying the following formula;

Sinθ = opposite / hypotenuse

Sin θ = h / L

L = h / Sin θ

L = 2.8 / Sin 8

L = 2.8 / 0.13917

L = 20.12 m

Therefore, the length of the sloping section of the ramp is 20.12 m

6 0
3 years ago
20 POINTS ASAP The graphed line can be expressed by which equation? Math item stem image y+3=32(x+1) y−0=−32(x+1) y−3=32(x−1) y−
storchak [24]

Answer:

The Answer is: y - 3 = 3/2(x - 1)

Step-by-step explanation:

Given Points: (1, 3) and (-3, -3)

Find the slope m:

m = y - y1 / (x - x1)

m = 3 - (-3) / (1 - (-3))

m = 3 + 3 / 1 + 3

m = 6 / 4 = 3/2

Use the point slope form and point (1, 3):

y - y1 = m(x - x1)

y - 3 = 3/2(x - 1)

Hope this helps!  Have an Awesome day!! :-)

7 0
3 years ago
Read 2 more answers
If the die were to be rolled 6000 times, would we expect to obtain exactly 1000 '2's? explain your answer.
ludmilkaskok [199]
The probability of that occurring is 0%. There are 6 sides in a typical dice, which means the probability of rolling a 2 is 1/6th. (1/6)^1000 will give you the probability of rolling a 2 exactly 1000 times. (1/6)^1000 equates to 0%.
7 0
2 years ago
How do you leave an answer in terms of pi?
Archy [21]

In terms of pi means to include pi in your answer. In other words, don't use 3.14 or 22/7 for pi.

8 0
2 years ago
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