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2 years ago

Please explain this to me step by step. Thanks!

Mathematics

1 answer:

Arlecino [84]2 years ago

5 0

Answer:

Step-by-step explanation:

14) Amount in Harper's school lunch account = $ 75

Cos of one meal = $ 3.25

Cost of 'm' meals = 3.25 * m = 3.25m

Balance amount in Harper's account after getting 'm' meals = $ 19.75

Total amount - Cost of 'm' meals = 19.75

75 - 3.25m = 19.75

To find the value of 'm', isolate m. To isolare m subtract 75 from both sides

-3.25m = 19.75 - 75

-3.25m = -55.25

Now divide both sides by (-3.25)

m = -55.25/(-3.25)

m = 17

15) Starting height = 24 ft

Height after t seconds = 4.5*t = 4.5t

To see the river, the drone should reach the height atleast 330 ft above the ground. ⇒ It should be at the height greater than or equal to 330 ft

Initial height + height after 't' seconds ≥ 330

24 + 4.5t ≥ 330

Subtract 24 from both sides

4.5t ≥ 330 - 24

4.5t ≥ 306

Divide both sides by 4.5

t ≥ 306/4.5

t ≥ 68

He will be able to see the river from 68 seconds ( 1 minute 8 seconds) and above.

No, Imani will not be able to the river after the drone has been raising for one minute. At 1 minute 8 seconds Imani will start seeing the river. So at one minute, the drone will not have reached the required height .

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Find Exact Answers, Show your work. BRANLIEST ASAP!! THANK YOU

4vir4ik [10]

$$\cos\theta=\frac{\text{5}}{\text{13}}, \ \sin\theta=\frac{\text{12}}{13}, \ \tan\theta=\frac{\text{12}}{\text{5}}$

$$\sec\theta=\frac{\text{13}}{\text{5}},\ \csc \theta=\frac{\text{13}}{\text{12}} , \ \cot \theta=\frac{\text{5}}{\text{12}}$

Solution:

Given triangle is a right triangle.

Base = 5, Hypotenuse = 13, Height = ?

Height (h) = opposite

<em>In right triangle, square of the hypotenuse is equal to the sum of the squares of the other two sides.</em>

$5^2+h^2=13^2$

$25+h^2=169$

$h^2=144$

Taking square root on both sides.

h = 12

$$\cos\theta=\frac{\text{Base}}{\text{Hypotenuse}}$

$$\cos\theta=\frac{\text{5}}{\text{13}}$

$$\sin\theta=\frac{\text{Opposite}}{\text{Hypotenuse}}$

$$\sin\theta=\frac{\text{12}}{13}$

$$\tan\theta=\frac{\text{Opposite}}{\text{Base}}$

$$\tan\theta=\frac{\text{12}}{\text{5}}$

$$\sec\theta=\frac{\text{Hypotenuse}}{\text{Base }}$

$$\sec\theta=\frac{\text{13}}{\text{5}}$

$$\csc \theta=\frac{\text{Hypotenuse}}{\text{Opposite }}$

$$\csc \theta=\frac{\text{13}}{\text{12}}$

$$\cot \theta=\frac{\text{Base }}{\text{Opposite}}$

$$\cot \theta=\frac{\text{5}}{\text{12}}$

6 0

4 years ago

He wanted to make another quilt with an area of 42 square feet. What are its possible dimensions if they must be whole numbers?

Tju [1.3M]

Before I start, I wonder if we are missing some information? The question you posted says "He wanted to make another quilt"...does your question have any information about a first quilt that we need to take into consideration?

If not, and if this is all the information we have, then you start by knowing that the area of a rectangle (i.e., quilt) = length x width. So, to get a quilt with an area of 42, you need to find two numbers that multiply together to make 42. For example, 6 x 7 = 42, so the dimensions of the quilt could be 6 feet by 7 feet. Technically, 1 x 42 and 2 x 21 and 3 x 14 also = 42, so the quilt dimensions could also be 1 foot by 42 feet or 2 feet by 21 feet or 3 feet by 14 feet, but those would be a really unusual and awkward sizes for a quilt, so 6 feet by 7 feet is the better answer.

3 0

3 years ago

The track team needs new uniforms. The students plan to sell plush toy bears (the school mascot) for $5 each. The students fi

Bond [772]

Answer:

Company C

Step-by-step explanation:

To find the cost of each bear, you must divide each price by the amount of bears. The prices are shown below:

For company A, each bear costs $2.87.

For company B, each bear costs $2.89.

For company C, each bear costs $2.85.

So, the best buy for the team would be Company C.

Hope this was helpful!

7 0

2 years ago

A rational number is an integer. always sometimes never

vladimir2022 [97]

A rational number is sometimes an integer.

3 0

3 years ago

Read 2 more answers

Jake has made a scale drawing of a sand pit he

SVEN [57.7K]

Answer: The scale is 5cm/m (5 cm in the drawing are equivalent to 1 meter on the actual pit)

Step-by-step explanation:

When we have an original measure M, and we redraw it with a new scale, where the new measure is m, the scale used is equal to:

scale = m/M.

In this case, we know that:

The pit is 3m, by 5m

and the drawing to scale is 15cm by 25cm

(15cm is the rescaled version of the 3m side, and 25cm is the rescaled version of the 5m side)

Using the equation above, we can find that the scale is:

Scale = 15cm/3m = 5cm/m

and, if we use the other side, we get:

Scale = 25cm/5m = 5cm/m

Both calculations give the same scale, as expected.

Then the scale is 5cm/m, which means that 5 centimeters in the drawing are equivalent to one meter in the real pit.

4 0

3 years ago