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chubhunter [2.5K]
3 years ago
6

Identify sin A as a fraction and as a decimal rounded to the nearest hundredth. HELP PLEASE!! I don't understand.

Mathematics
1 answer:
Anna007 [38]3 years ago
4 0

Answer:

sin A = opp / hyp = 0.82

Step-by-step explanation:

The sine function is defined as the ratio of "opposite side" to "hypotenuse."

In the given triangle, sin A = opp / hyp = 10.3 / 12.6 = 0.82 (to the nearest hundredth).  That's all you have to do here.

The cosine function is the ratio of "adjacent side" to "hyp."  In the given triangle, the side adjacent to angle A has length 7 .2.  Thus,

cos A = adj / hyp = 7.2 / 12.6 = 0.57 (to the nearest hundredth).

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-2/3f=9.2<br> -1/8n = -2/7 <br> 12/20n = -36/44<br> -64.5g = -25.8 <br> -15/28 = -9/10
user100 [1]

Step-by-step explanation:

-2/3f =9.2

cross multiply

27,6= -2f

divide both sides by 2

f = - 13.8

-1/8n = -2/7

cross multiply

-16 = -7n

divide

n = 2.29

12/20n = -36/44

cross multiply

528 = - 720n

divide

n= -0.733

-64.5g = -25.8

divide both sides by -64.5

g = -0.4

the last one has no variable

5 0
3 years ago
A salesperson earns $320 per week plus 8% of her weekly sales. The expression representing her earnings is 320 + 0.08x. Which of
Arturiano [62]

Answer:

Here, x represents the weekly sale

As per the statement:

A salesperson earns $320 per week plus 8% of her weekly sales.

"8% of her weekly sales" means \frac{8}{100}x = 0.08x

then;

the expression which represents her earning = 320+0.08x

"At least" means "\geq"

then;

the sales necessary for the salesperson to earn at least $1000 in the one week

⇒320+0.08x\geq 1000

Subtract 320 from both sides we have;

0.08x\geq 680

Divide both sides by 0.08 we get:

x\geq 8500

Therefore, the sales necessary for the salesperson to earn at least $1000 in the one week is: greater than or equal to $8500 i.e  x\geq 8500

6 0
3 years ago
Use the distributive property to find the price. 5($5.91) a. $30.45 b. $29.55 c. $25.50
enot [183]

5*5 = 25

5*9= 45

5*1= 5

25 dollars now add the cents

now it is $25.50

6 0
3 years ago
Read 2 more answers
A cone and a sphere both have a radius of 1. If you fill the cone with liquid, and pour it into the sphere, it fits exactly. Wha
PtichkaEL [24]

Answer and Step-by-step explanation:

First, solve for the volume of the sphere, then solve for the height of the cone using the volume of the sphere (which is said to be equal to the volume of the cone) and the radius given.

<u>Volume formula of Sphere</u>

V = \frac{4}{3} \pi r^2

<u>Substitute 1 in for r</u>

\frac{4}{3} \pi (1)^2 = \frac{4}{3} \pi  = 4.189 = Volume

<u>Finding the Height of a Cone</u>

Volume formula for Cone: V = \pi r^2\frac{h}{3}

<u />

<u>Solve for </u><u><em>h</em></u>

Multiply both sides by 3, then divide by pi and r^2.

h = \frac{3V}{\pi r^2}

<u>Plug in the volume and the radius.</u>

h = \frac{3(4.189)}{\pi (1)^2}

<u>Simplify</u>

h = \frac{12.567}{\pi }

h ≈ 4

<u>4 is approximately the height.</u>

<u></u>

<u></u>

<u><em>#TeamTrees #PAW (Plant And Water)</em></u>

6 0
3 years ago
What is the x intercept od this piecewise function? A) (0,2) B) (2,0) C) (0,4) D) (4,0)​
Arte-miy333 [17]

Answer: Choice B) (2,0)

======================================

Set the first piece equal to zero and solve for x

x^2 - 4 = 0

x^2 = 4

x = sqrt(4) or x = -sqrt(4)

x = 2 or x = -2

Keep in mind that the first piece y = x^2-4 is only graphed when x = 2 or larger, so we ignore x = -2. This is one x intercept, but there may be more. Let's check the other graph to see what we get.

----------

Set the second piece equal to zero and solve for x

x-2 = 0

x-2+2 = 0+2

x = 2

We get the same result as above in the prior section. Because of this, the two pieces connect at this junction point.

The x intercept x = 2 leads to the location (2,0). The x intercept always occurs when y = 0.

The graph below shows this.

side note: the red piece y = x^2 - 4 looks linear, but it's actually not a straight line. It's just a really stretched out curve.

4 0
3 years ago
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