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3 years ago

Sherman is training for his bike.He rides his bike 6 1/4 miles in 1/3 hour.What is sherman’s rate in miles per hour

Mathematics

1 answer:

Katen [24]3 years ago

5 0

Sherman’s rate would be 17 1/4 miles per hour

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a gardener installed 42.6 meters of fencing in a week. He installed 13.45 meters on Monday and 9.5 meters on Tuesday. He install

Nat2105 [25]

13.45 + 9.5 = 22.95
42.6 - 22.95 = 19.65
19.65 : 3 = 6.55m did he fence each day wednesday thursday & friday

8 0

3 years ago

Help! How would I solve this trig identity?

NeTakaya

Using simpler trigonometric identities, the given identity was proven below.

<h3>How to solve the trigonometric identity?</h3>

Remember that:

$sec(x) = \frac{1}{cos(x)} \\\\tan(x) = \frac{sin(x)}{cos(x)}$

Then the identity can be rewritten as:

$sec^4(x) - sen^2(x) = tan^4(x) + tan^2(x)\\\\\frac{1}{cos^4(x)} - \frac{1}{cos^2(x)} = \frac{sin^4(x)}{cos^4(x)} + \frac{sin^2(x)}{cos^2(x)} \\\\$

Now we can multiply both sides by cos⁴(x) to get:

$\frac{1}{cos^4(x)} - \frac{1}{cos^2(x)} = \frac{sin^4(x)}{cos^4(x)} + \frac{sin^2(x)}{cos^2(x)} \\\\\\\\cos^4(x)*(\frac{1}{cos^4(x)} - \frac{1}{cos^2(x)}) = cos^4(x)*( \frac{sin^4(x)}{cos^4(x)} + \frac{sin^2(x)}{cos^2(x)})\\\\1 - cos^2(x) = sin^4(x) + cos^2(x)*sin^2(x)\\\\1 - cos^2(x) = sin^2(x)*sin^2(x) + cos^2(x)*sin^2(x)$

Now we can use the identity:

sin²(x) + cos²(x) = 1

$1 - cos^2(x) = sin^2(x)*(sin^2(x) + cos^2(x)) = sin^2(x)\\\\1 = sin^2(x) + cos^2(x) = 1$

Thus, the identity was proven.

If you want to learn more about trigonometric identities:

brainly.com/question/7331447

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2 years ago

the following table shows the number of hours some high schools students in two towns spend riding the bus

11Alexandr11 [23.1K]

There is no table (just a comment)

8 0

3 years ago

How do you find 79% of 32

liubo4ka [24]

Convert 79% to a decimal which is .79

Then you multiply .79 by 32 which is 25.28

Your answer is 25.28

5 0

3 years ago

To the nearest foot, what amount of fencing is needed to surround the perimeter of the flower bed? 17 feet 33 feet 40 feet 50 fe

KATRIN_1 [288]

We have two flower beds in this example, the first has a perimeter of 100 feet, and the second has a perimeter of 180 feet

The total is 280 feet

<h3>Perimeter of Rectangle</h3>

Given Data

Dimension of the first flower bed

Length = 17 feet

Width = 33 feet

Perimeter = 2L + 2W

Perimeter = 2*17 + 2*33

Perimeter = 34 + 66

Perimeter = 100 feet

Dimension of the second flower bed

Length = 40 feet

Width = 50 feet

Perimeter = 2L + 2W

Perimeter = 2*40 + 2*50

Perimeter = 80 + 100

Perimeter = 180 feet

The total length will be 100+180 = 280 feet

Learn more about Perimeter here:

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4 0

3 years ago