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3 years ago

Question is attached.Step by step explanation only!

Mathematics

2 answers:

Arada [10]3 years ago

6 0

LHS

$\\ \sf\longmapsto \dfrac{cos(90-\Theta)}{sin\Theta}+\dfrac{sin\Theta}{cos(90-\Theta)}$

$\boxed{\sf cos(90-A)=sinA}$

$\\ \sf\longmapsto \dfrac{sin\Theta}{sin\Theta}+\dfrac{sin\Theta}{sin\Theta}$

$\\ \sf\longmapsto 1+1$

$\\ \sf\longmapsto 2$

Hence proved

Anna11 [10]3 years ago

4 0

Answer:

Attached is your answer.

Step-by-step explanation:

hence Proved.

Hope it helps you!!

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A 9-yard roll of string costs $3.42. What is the unit price?

Karolina [17]

Answer:

$0.38 per yard

Step-by-step explanation:

Step 1:

Given; A 9-yard roll of string that costs $3.42.

Required; To find the unit price

Step 2:

Convert $3.42 to cents

$1 ~dollar=100~cents ~\\therefore,\\$3.42=3.42~x~100=342~cents~$

Step 3:

Find the unit price

$\frac{9 yard}{1 yard} =\frac{342 ~cents}{x~cents}$

$9x=342$

$\frac{9x}{9} =\frac{342}{9}$

$x=38~cents$

Convert to dollars

$x=\frac{38}{100}$

$x=0.38~per~yard$

Hence the unit price is $0.38 per yard.

5 0

2 years ago

I need help please !

Orlov [11]

It is A so you have it right

4 0

3 years ago

Read 2 more answers

Given the points (5, 2) and (7, 10) find the slope of the line going through the two points . Now write the point-slope form of

drek231 [11]

Step-by-step explanation:

the slope of a line is specified as the ratio y/x. that indicates how many units y changes, when x changes a certain amount of units.

so, going e.g. from (5, 2) to (7, 10), x changes from 5 to 7 = +2 units. and y changes from 2 to 10 = +8 units.

so, the slope y/x = m = 8/2 = 4

the point-slope form is

y - y1 = m(x - x1)

m = slope

(x1, y1) = coordinates of one point on the line. let's pick the first point (5, 2).

y - 2 = 4(x - 5)

or then fully simplified (leading to the slope- intercept form) :

y - 2 = 4x - 20

y = 4x - 18

for question 2 we do the same thing for (4, -2) and (0, -5).

x changes from 4 to 0, so, -4 units.

y changes from -2 to -5, so, -3 units.

slope = y/x = m = -3/-4 = 3/4

since there is a 0 included, let's use (0, -5) as point for the point-slope form

y - -5 = 3/4(x - 0)

y + 5 = 3/4 x

so, the last option is correct.

3 0

2 years ago

The average score of all pro golfers for a particular course has a mean of 70 and a standard deviation of 3.0 (Think of these as

bija089 [108]

Answer:

0.477 is the probability that the average score of the 36 golfers was between 70 and 71.

Step-by-step explanation:

We are given the following information in the question:

Mean, μ = 70

Standard Deviation, σ = 3

Sample size, n = 36

Let the average score of all pro golfers follow a normal distribution.

Formula:

$z_{score} = \displaystyle\frac{x-\mu}{\sigma}$

P(score of the 36 golfers was between 70 and 71)

$\text{Standard error of sampling} = \displaystyle\frac{\sigma}{\sqrt{n}} = \frac{3}{\sqrt{36}} = \frac{1}{2}$

$P(70 \leq x \leq 71) = P(\displaystyle\frac{70 - 70}{\frac{3}{\sqrt{36}}} \leq z \leq \displaystyle\frac{71-70}{\frac{3}{\sqrt{36}}}) = P(0 \leq z \leq 2)\\\\= P(z \leq 2) - P(z \leq 0)\\= 0.977 - 0.500 = 0.477= 47.7\%$

$P(70 \leq x \leq 71) = 47.7\%$

0.477 is the probability that the average score of the 36 golfers was between 70 and 71.

8 0

3 years ago

The diameter of a circle is 1 meter.the circumference is how many centimeters

andre [41]

Step-by-step explanation:

C= pi×d

d=.5 meters

so plug in the numbers

3.14 × .5= 1.75

circumference= 1.75 meters

3 0

3 years ago

Question is attached.Step by step explanation only!​

Question is attached.Step by step explanation only!