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2 years ago

During a 5-kilometer run to raise money for the school band, Tabitha ran 0.08 kilometer per

Mathematics

1 answer:

Thepotemich [5.8K]2 years ago

7 0

Answer:

True

0.08 km/ 1 min = 1 mi = 1.61 km

answer rounds to 0.05

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A bag of trail mix weighs 1.625 pounds round 1.625 to the nearest hundredths

Andrew [12]

If you round 1.625 pounds to nearest hundredths its 1.63 pounds.

7 0

2 years ago

If a large cylinder has a volume of 28260 cubic cm, how many cylinders can be filled out of the large cylinder if the small cyli

inysia [295]

Hi,

To find the number of small cylinders that fit inside the big cylinder. You need to divide volume of small cylinder with the volume of big cylinder. We do this by using formula to calculate volume of cylinder:

$v = \pi \times {r}^{2} \times h$

To find radius just divide diameter with 2.

$v = \pi \times {2}^{2} \times 6 \\ v = \pi \times 4 \times 6 \\ v = \pi \times 24 \\ v = 3.14 \times 24 \\ v = 75.4 {cm}^{3}$

Now just division:

$28260 \div 75.4 = 374.8$

Answer: You could fit 374.8 smaller cylinders inside a big cylinder.

Hope this helps.
r3t40

7 0

2 years ago

For what value of x is the equation 22x + 7 = 215 true?

PIT_PIT [208]

Answer:

x = 9 5/11

Step-by-step explanation:

22x + 7 = 215

22x = 215-7

22x = 208

x = 208/22

x = 9 5/11

8 0

2 years ago

Read 2 more answers

Approximately what is the length of the rope for the kite sail, in order to pull the ship at an angle of 45° and be at a vertica

Lera25 [3.4K]

Answer:

212m

Step-by-step explanation:

The set up will be equivalent to a right angled triangle where the height is the opposite side facing the 45° angle directly. The length of the rope will be the slant side which is the hypotenuse.

Using the SOH, CAH, TOA trigonometry identity to solve for the length of the rope;

Since we have the angle theta = 45° and opposite = 150m

According to SOH;

Sin theta = opposite/hypotenuse.

Sin45° = 150/hyp

hyp = 150/sin45°

hyp = 150/(1/√2)

hyp = 150×√2

hyp = 150√2 m

hyp = 212.13m

Hence the length of the rope for the kite sail, in order to pull the ship at an angle of 45° and be at a vertical height of 150 m is approximately 212m

8 0

2 years ago

If the product of two consecutive integers is decreased by 20 times the greater integer, the result is 442. find the integers

Contact [7]

Let the first integer be x. Then the next consecutive integer is x+1.

Translating the word problem into symbols, x(x+1)-20(x+1) = 442.

Then x^2 + x - 20x - 20 = 442

or x^2 - 19x - 462 = 0

Solve by completing the square:

x^2 - 19x + 90.25 - 90.25 - 462 = 0

(x-9.5)^2 - 552.25 = 0

Taking the positive square root of both sides, we get x-9.5 = 23.5, or
x = 33

The two consecutive integers are 33 and 34.

Check: (33)(34)-20(34) = 442 (as expected).

8 0

2 years ago