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Nikolay [14]
2 years ago
5

In ARST, the measure of ZT=90°, the measure of ZR=39°, and TR = 55 feet. Find the

Mathematics
1 answer:
Rzqust [24]2 years ago
8 0

Answer:

44.5 ft

Step-by-step explanation:

Reference angle = 39°

Opposite = x

Adjacent = 55

Apply trigonometric function TOA:

Tan 39 = Opp/Adj

Tan 39 = x/55

55 × Tan 39 = x

44.5381218 = x

x ≈ 44.5 ft

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If 9<15mx-8<27, where m is a positive constant, what is the possible range of values of 8/3 -5mx?
sweet [91]
9<15mx-8<27
Divide the all by 3
3<5mx-8/3<9
After that times all by -1
-3<8/3-5mx<-9
4 0
2 years ago
Read 2 more answers
Interpreting Points on Graphs of Proportional Relationships
HACTEHA [7]

There are the following conclusions:

Not true

  1. The pumpkin grew to a weight of 3 ounces in 18 weeks.
  2. The quotient 3 / 18 equals the growth rate of the pumpkin in ounces per week.

Cannot be determined

  1. Each crate can hold 18 pumpkins.

True

  1. In 3 weeks, the pumpkin grew to a weight of 18 ounces.
  2. The pumpkin grew at a rate of 6 ounces per one week.

<h3>How to interpret graphs of proportional relationships</h3>

The graph shows the graph of proportional relationship, in which the weight of a pumpkin, in ounces, is directly proportional to time, in weeks. Then:

y ∝ x

y = k · x

Where k is the constant of proportionality, in ounces per week.

The point (x, y) = (3, 18) indicates that a pumpkin reaches a weight of 18 ounces after 3 weeks and the constant of proportionality is equal 6 ounces per week.

Then, we have the following conclusions:

Not true

  1. The pumpkin grew to a weight of 3 ounces in 18 weeks.
  2. The quotient 3 / 18 equals the growth rate of the pumpkin in ounces per week.

Cannot be determined

  1. Each crate can hold 18 pumpkins.

True

  1. In 3 weeks, the pumpkin grew to a weight of 18 ounces.
  2. The pumpkin grew at a rate of 6 ounces per one week.

To learn more on direct relationships: brainly.com/question/14217437

#SPJ1

5 0
1 year ago
Donna's Deli delivers lunches for $7 per person plus a $35 delivery fee. Larry's Lunches delivers lunches for $11 per person.
Katena32 [7]
A.    Cost=7(Number of People)+35          or y=7x+35
b.   11x<7x+35
c.   Subtract 7x from both sides: 4x<35
d. Divide both sides by 4: x< 8.75 people.  This means that if the number of lunches ordered is 8 or less, Larry's Lunches will be cheaper.  However, if the number of lunches ordered is 9 or more, Donna's Deli will be cheaper.  Thus, for an order of 10 lunches, Donna's Deli would charge less.
4 0
3 years ago
Please help me on this one
tester [92]

south America = 2.2%

2.2% = 0.022

0.022 = 22/1000 which reduces to 11/500

4 0
3 years ago
If 17(7x−3) =1 then which answer shows the correct steps to solve for x? x−3/7=1 x=4/7 x−3=1 x=4 x−3/7=1 x=10/7 x+3/7=1 x=6/7
Sergio039 [100]

Answer:

Step-by-step explanation:

17(7x−3) =1

Divide both sides by 17

7x - 3 = 1/17

Collect like terms

7x = 1/17 + 3

x = (1/17 + 3) /7

x = 52/17 ÷ 7

x = 52/17 × 1/7

x = 52/119

5 0
3 years ago
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