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3 years ago

Which expression is equivalent to (r^-7)^6

Mathematics

1 answer:

ahrayia [7]3 years ago

4 0

Answer:

1/r^42

Step-by-step explanation:

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a surveyor measures the distance to the two landmarks as shown in the diagram what is the distance d. between the landmarks

Inessa [10]

<h3>The distance between two landmarks is 123 meters</h3>

<em><u>Solution:</u></em>

We have to find the distance between two landmarks

<em><u>Use the law of cosines</u></em>

The third side of a triangle can be found when we know two sides and the angle between them

$c^2 = a^2 + b^2 - 2ab\ cos c$

Here, angle between 90 meters and 130 meters is 65 degrees

From figure,

a = 90

b = 130

c = d

Therefore,

$d^2 = 90^2 + 130^2 - 2(90)(130)\ cos 65\\\\d^2 = 8100 + 16900 - 23400\ cos\ 65\\\\d^2 = 25000 - 23400 \times 0.4226\\\\d^2 = 25000 - 9889.267\\\\d^2 = 15110.73\\\\d = 122.92\\\\d \approx 123$

Thus, the distance between two landmarks is 123 meters

8 0

4 years ago

Ratio 11 to 6 in perimeter

Darina [25.2K]

Answer: the answer will be 6/4

Step-by-step explanation:

6 0

3 years ago

Mr. Burke had 40 pencil. He gave his class 1/5 of the pencils.Then he packed away 1/4 of the pencils that reminded. All the othe

Amiraneli [1.4K]

Answer:

26 pencils were thrown away.

Step-by-step explanation:

1/5 = 8/40

1/4 = 6/32

add them together 18/40

26 were thrown out

8 0

3 years ago

PLEASEEEEEE HELPPPPPPPP

Natali5045456 [20]

The formula for the sum of n terms in an arithmetic progression is:
S = n/2 * (2a + (n-1)d)
Here, the common difference, d, is 8 and the first term, a, is 1. Substituting these into the formula, we get:

S = n/2 * (2*1 + 8(n - 1))
S = n + 4n² - 4n
S = 4n² - 3n
The answer is A.

8 0

3 years ago

The sum of 25/4 and three times a number is equal to 3/4 subtracted from four times the number. find the number

stich3 [128]

For an instance, n represents the number
$\frac{25}{4}+n=4n- \frac{3}{4}$
$n-4n=-\frac{3}{4}-\frac{25}{4}$
$-3n=-\frac{28}{4}$
$n=-\frac{28}{4} \times -\frac{1}{3}$
$n= \frac{28}{12}$
$n= \frac{7}{3}$

The number is 7/3

5 0

3 years ago