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Jlenok [28]
3 years ago
12

The school is using a bus to go on a field trip. The bus has 40 seats that each fit 2 people. How many busses would be needed to

transport 560 students?
Mathematics
2 answers:
Liula [17]3 years ago
6 0

Answer: They need 7 buses

Step-by-step explanation:

40 x 2 =80 560 divided by 80 =7

Kamila [148]3 years ago
5 0

Answer: 7 buses

Step-by-step explanation:

hope this helps!

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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
What is 3/5 of $40 restaurant bill
iVinArrow [24]
24 is the answer ,multiply 3\5 by 40
6 0
3 years ago
Miranda enlarged a picture twice as shown below, each time using a scale factor of 3.
Luda [366]

Answer:

B, C, E are true

Step-by-step explanation:

A = l*w

The original rectangle is 6 by 4  with A = 24

The 1st enlargement = 6*3 by 4*3

                                   18 by 12  with A = 216

The second enlargement is 18*3 by 12*3

                                              54 by36 with A =1944

A.The area of the first enlargement is 72 square inches.

False it is 216

B.The area of the second enlargement is 1,944 square inches.

True

C.The area of the second enlargement is (3 squared) squared times the original area.

216/24 =9  True

D.The area of the second enlargement is 3 times the area of the first enlargement.

1944/24 = 9  False

E.The ratio of the area of the first enlargement to the area of the original equals the square of the scale factor.

The scale factor is 3 3^2 =9 216/24 =9

True

4 0
3 years ago
Read 2 more answers
A russian igor carl faberge firebird egg costs 327,317.28 russian rubles. how much is that in united states dollars?
yawa3891 [41]
1 Russian ruble is equivalent to <span>0.01742 U.S. dollars.

Therefore, to find how much US dollars is equivalent to </span><span>327,317.28 Russian rubles, all you have to do is cross multiplication as follows:
amount = (</span>327,317.28 * 0.01742) / 1
amount = 5701.867018 US dollars
5 0
3 years ago
Please can someone answer all these
Katena32 [7]

Answer:

what is it what math

Step-by-step explanation:

um what kind of math is this high school primary school

4 0
3 years ago
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