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Ainat [17]
3 years ago
12

You want to rent a television. Company A charges $25 per week plus a one-time fee of $52. Company B charges $37 per week plus a

one-time fee of $16. After how many weeks are the total costs the same at both companies?
Mathematics
1 answer:
RUDIKE [14]3 years ago
8 0
52+25=77+25=102+25=127
16+36=53+37=90+37=127
Answer 3 weeks
You might be interested in
A cube has side length of 1 meter. Determine the volume of the cube. Include all of your calculations in your final answer.
RSB [31]

Answer:

1

Step-by-step explanation:

Volume of Cube = a³

a is the length of one side of cube

Volume = a³ = 1³ =1x1x1 = 1

8 0
3 years ago
Fred the owl is looking down at a 67° angle from the top of a tree that is 15 ft tall, when he spots a bird on the ground. How f
guapka [62]

Answer:

Fred     C. 16.30 ft

Gary     B. 169.67 m

Step-by-step explanation:

Fred the owl...

Always <u>draw a diagram first</u> (see diagram below). We assume trees are perpendicular (at 90°) to the ground. The situation forms a right-angle triangle.

We need to <u>find "x"</u>, which is the direct distance between the owl and the bird. "x" is also the hypotenuse, which is the longest side in a right-angle triangle. Since we know a side and an angle, we can find the hypotenuse using primary trigonometry ratios.

∠B will be the angle of reference (the angle we are "talking" about). The side we know is opposite to ∠B (15ft). We know it's opposite because it's not touching the angle. The side we need to find is the hypotenuse.

<u>Use the trig. ratio sine</u> because it has opposite and hypotenuse in it. The general formula is:

sinθ = opp/hyp

θ means the angle, and we know it is 67°.

Replace all the information you know:

sinB = opp/hyp

sin67° = (15ft) / x     Isolate "x". Rearrange the equation.

xsin67° = (15ft)         Divide both sides by sin67°

x = (15ft) / sin67°

x = 16.295... ft   Exact answer in decimals

x ≈ 16.30 ft     Rounded to nearest hundredth

Therefore Fred the owl is 16.30 feet from the bird.

Gary spots a monkey...

Draw a diagram first (see below). G is Gary, M is the monkey, T is the bottom of the Sears Tower. We need to <u>find "x"</u>, which is the distance between the monkey and the bottom of the tower.

The angle of reference is M, which is 69°. We need to find the adjacent side and we know the opposite side. <u>The trig. ratio that has adjacent and opposite is tangent.</u>

tanθ = opp/adj

Replace all the information you know:

tanM = opp/adj

tan69° = (442m) / x    Rearrange the formula to isolate "x"

xtan69° = 442m         Divide both sides by tan69°

x = 442m / tan69°      Solve by dividing

x = 169.6679.... m    Exact decimal answer

x ≈ 169.67m            Rounded to the nearest hundredth

Therefore the monkey is 169.67 metres from the tower.

Remember all the trig. ratios using the acronym SohCahToa.

o = opposite side

a = adjacent side

h = hypotenuse side

S = sine, sin for short

C = cosine, cos for short

T = tangent, tan for short

The operation is always dividing the first side in the acronym by the second side.

sinθ = opp/hyp

cosθ = adj/hyp

tanθ = opp/adj

4 0
3 years ago
Mr lin has 10 baesball his gym make 4 teams
spin [16.1K]

Answer:

Mr. Lin can only have 2 people in his 4 teams but he will have 2 people without a group

Step-by-step explanation:

It would be better if he had 5 teams because everyone will be able to be in a team

4 0
3 years ago
Sixteen more than a number is 48 which equation models this sentence
nevsk [136]
The word 'more' means addition.
So C. n + 16 = 48
3 0
3 years ago
Can someone please help me with the following problem and explain how you got your answer?
Nataly [62]
First you subtract 7 minus 19 and 7/8b minus 5/4b:
5/4b+7=7/8b+19
-7/8b -7/8b

5/4b+7=7/8b+19
-7 -7
3/8b=12
Then you divide 12 by 3/8:
b=32
6 0
3 years ago
Read 2 more answers
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