Please help!!! Evaluate sin(x)
A. 2.125
B. 0.4706
C.0.8824
D.0.5333

Please Help!!! Evaluate Sin(x)A. 2.125B. 0.4706C.0.8824D.0.5333

Answers

Answer 1

Answer:

sin x = 0.4706

Step-by-step explanation:

Given that,

Height, h = 8

Base, b = 15

Let H be the hypotenuse of the triangle. Using Pythagoras theorem,

[tex]H=\sqrt{8^2+15^2} \\\\H=17[/tex]

We know that,

[tex]\sin\theta=\dfrac{h}{H}[/tex]

So,

[tex]\sinx=\dfrac{8}{17}\\\\\sin x=0.4706[/tex]

So, the correct option is (b).


Related Questions

could you pls tell me the answer to part a and b thx, and could you also give me a step by step explanation of how you did it? ​

Answers

Answer:

sure Gigi,    as below

Step-by-step explanation:

A)

we want to know the rates.  so this like like in MPH (Miles per hour)  or feet per second but something that we can compare each walker with the other .... so we want some type of scale that makes sense.  what are the given units.... they are distance in miles and time in hours.. so maybe MPH would work for this.

there is a very good, basic formula that you should just remember for this type of problem... I can it the dirt formula... partly b/c it's dirt easy.. and partly b/c it really is about how much dirt you cover.. i mean.. how far you do... in a distance .. and you can use any unit you want...  like we'll use miles here.. for our units..  we will you d = rt  where d= distance , r= rate and t = time.

d = rt.... notice the formula looks a lot like the word  "dirt"   handy huh...

use it to make all the walks have a number...  their rate... the r in the formula... to compare with,  so use your algebra skills to rearrange the formula... to

d/t = r      now we can plug in each of the walkers and get a rate to comparr them  

Aisha  5/2 = r  so 5/2 MPH

Bob  7.5 / 5 = r  so 7.5 = 15/2   then (15/2)  /  5   = (15/2) * (1/5)  ( cross cancel the 15 and 5  so you get  (3/2) * (1/1) =  3/2

Bob = 3/2 MPH

Cora = 9 / 3.6    or   9 / 3[tex]\frac{6}{10}[/tex]   or  (9/1) / ([tex]\frac{36}{10}[/tex])  or  (9/1) * (10 / 36) cross cancle the 9 and 36 so you get     (1/1) * ( 10 / 4)   = 10/4 = 5 /2

Cora = 5/2 MPH

Dylan = 3.75 /2.5  or  3 [tex]\frac{3}{4}[/tex] / 2[tex]\frac{1}{2}[/tex]  or  (15/4) / (5/2)  or (15/4 ) * (2/5)  cross cancel the 2 and 4 and also cross cancel the 15 and 5    then,   (3/2) * ( 1/1)= 3/2

Dylan = 3/2 MPH

            MPH

Aisha = 5/2

Bob   =  3/2

Cora  =  5/2

Dylan = 3/2

you can now make fair comparisons among the 4 people

B)

d = rt

d/t = r

Emilio  =  19.2 / 6   or 19[tex]\frac{2}{10}[/tex] / 6  or  (192/10 ) / (6/1)  invert and multiply to bring the denominator up   (192/10) *  (1/6)  cross cancle 6 into 192 = 32

so(32/10) * ( 1/1) = 32/10  or  16/5 =  3[tex]\frac{1}{5}[/tex] or 3[tex]\frac{2}{10}[/tex] which is  3.2 MPH

Fala  = 10.5 / 3   or  10[tex]\frac{1}{2}[/tex] /3   or  [tex]\frac{21}{2}[/tex] / 3   or   (21/2) / (3/1)  invert and multiply the denominator    (21/2) * ( 1/3)  , cross cancel 3 and 21    (7/2) * ( 1/1)  = 7/2

so now you have all the rates.. how fast they are walking.  in Miles per hour and that's what the scale of the number line is.. so, good.. just mark each of their speeds

Bob and Dylan = 3/2 or  1.5 MPH... pretty slow.. huh :P

Cora and Aisha = 5/2 or 2.5 MPH  faster but not fast

Emilo 3.2 MPH  pretty quick

Fala 3.5 MPH  she's fast. :D  speed walking

3.2 on the number line is not marked.. 3.25 is.. so just a bit below the 3.25 mark.. that's 3[tex]\frac{1}{4}[/tex] , see it?

all the others are marks on the number line.. just count marks for 1//2s

Put the following equation of a line into slope-intercept form, simplifying all
fractions.
8x – 12y = -96

Answers

Answer:

2/3x+8=y

Step-by-step explanation:

8x-12y=-96

8x+96=12y

8/12x+8=y

2/3x+8=y

The equation 8x – 12y = -96 of a line into slope-intercept form, simplifying all fractions, is 3y = 2x + 24.

What is equation?

Two expressions with variables or integers are said to be equal when they are declared to be in an equation. Since equations are essential questions, efforts to methodically find answers to these questions have been the inspiration for the development of mathematics.

Given:

The equation, E = 8x – 12y = -96,

The standard intercept form of a line,

[tex]y = mx + c[/tex]

Here m is the slope,

For this form, arrange the equation,

– 12y = -8x - 96

(Do multiplication of  -1/ 4 on both sides)

3y = 2x + 24

Therefore, the equation 8x – 12y = -96 of a line into slope-intercept form, simplifying all fractions is 3y = 2x + 24.

To know more about equation:

https://brainly.com/question/12788590

#SPJ2

someone actually help me please :/ I REALLY NEED HELP AND NO ONES HELPING

Answers

Answer:

a) 8 m  

Step-by-step explanation:

a) all sides of a square are equal - there's 4 sides.

4x = 32m

x = 32/4

x = 8 m

i like ur toga pfp besty :)

. Eado fime Blend buys lunch at school, the balance on her school lunch account changes
by 53. Last month, Eiend's balance changed by-536 in all. She wants to know how
many times she bought lunch last month
Which expression represents the number of times
Een bought lunch last month?
- 36 - 3
-263
No LINKS

Answers

Answer:

-36 ÷ -3

Step-by-step explanation:

Change in her school lunch account balance per lunch = -3

Total change in her school lunch balance last month = -36

Expression to show number of times Elena bought lunch last month = Total change in her school lunch balance last month ÷ Change in her school lunch account balance per lunch

= -36 ÷ -3

= -36/-3

= 12 times

Elena bought lunch 12 times last month

Tom has £20 what is the greatest amount of meals he can buy

Answers

Answer:

he can buy McDonalds

he can go to grocery store and buy something to cook or maybe bakery iteams

Answer:

hmm

Step-by-step explanation:

he can go buy some rice and boil it as dinner for a lot of food

) What is the absolute value |-5 l​

Answers

Answer: 5

Step-by-step explanation:

What is the 21st term of the sequence with a1 = -7 and d = 3?

Answers

Answer:

53

Step-by-step explanation:

[tex]a + (n - 1)d \\ = - 7 + (21 - 1)3 \\ = 53[/tex]

Answer

53

Step-by-step explanation:

y is directly proportional to the square root of (x+2). when x =7 y=2. find y when x =98

Answers

Answer:

98/7=14

14*2=28

y=28

Step-by-step explanation:

What is the answer please help no links I will report

Answers

Answer: I AM GOING TO SAY THE ANSWER IS 25%

Step-by-step explanation:

Examine the diagram, where quadrilateral HIJK is inscribed in OC.
H
RD
K
112
1
J
© 2016 StrongMind. Created using GeoGebra.
If mZIJK = 112°, what is mZIHK?

Answers

Answer:

m<IHK = 68°

Step-by-step explanation:

In an inscribed quadrilateral, opposite angels are supplementary. This means that the sum of the opposite angles in am inscribed quadrilateral equals 180°. One is the supplement of the other.

Therefore,

m<IHK = 180 - m<IJK

m<IHK = 180° - 112°

m<IHK = 68°

What Happens to the value of the expression 100 minus X as X increases

Answers

Step-by-step explanation:

if f (x) = 100 - x;

as x increases, the value of f(x) will decrease

Answer:

100 decreases

Step-by-step explanation:

Helppp plssssssssssss

Answers

Answer:

The answer is C

Step-by-step explanation:

If you plot them carefully.

if the sphere shown above has a radius of 15 units , then what is the volume of the sphere ?

Answers

Answer:

4,500 cubic units

Step-by-step explanation:

Answer:

4,500 cubic units

Have a good day.

A linear function is graphed below.

(-1, 4)
(5, -5)

What is the slope of this graphed line?

Answers

Answer:

[tex]-1\frac{1}{2}[/tex]

Step-by-step explanation:

We have two coordinate points and are asked to find a slope.

When finding slope, we can use the formula listed :

[tex]\frac{y^2-y^1}{x^2-x^1}}[/tex]

To understand what the variables are, you can take this :

[tex](x^1,y^1)[/tex]

[tex](x^2,y^2)[/tex]

Substitute the points :

[tex](-1,4)[/tex]

[tex](5,-5)[/tex]

Now substitute it into the formula :

[tex]\frac{-5-4}{5-(-1)}[/tex]

[tex]\frac{-3}{2}[/tex]

[tex]-1\frac{1}{2}[/tex]

Answer:

Step-by-step explanation:

find the slope m  by using the slope formula

m = (y2 - y1) / (x2 - x1)

Point1 = ( -1,4)  where it takes the form (x1,y1)

Point2 =(5, -5) where it takes the form (x2,y2)

notice the form is important

m = (-5 -4) / (5 - (-1))

m = -9  /  ( 5 +1 )

m = -9 / 6

m = - 3/2

4n = 2n+6 I really need help

Answers

the answer is n=3. 4 also has a variable in front of it so (4n) which shows you have to multiply. 2 + 6 give you 8 but 2x3+6 gives you 12, 4 x 3 also gives you twelve so your answer is n=3

find the area of this parallelogram

Answers

Answer:

98 in²

Step-by-step explanation:

14x7=98

1. Identify the a, b, and c in the function:
f(x) = 3x² – 9x +4
A=
B=
C=

Answers

Answer:

A=3

B=-9

C=4

Hope this helps ^^

A company manufactures Products A, B, and C. Each product is processed in three departments: I, II, and III. The total available labor-hours per week for Departments I, II, and III are 1020, 1140, and 960, respectively. The time requirements (in hours per unit) and the profit per unit for each product are as follows. Product A Product B Product C Dept. I 2 1 2 Dept. II 3 1 2 Dept. II 2 2 1 Profit $18 $12 $15
How many units of each product should the company produce in order to maximize its profit?
Product A
Product B
Product C
What is the largest profit the company can realize?
$
Are there any resources left over? (If so, enter the amount remaining. If not, enter 0.)
labor in Dept. I
labor in Dept. II
labor in Dept. III

Answers

Answer:

a)

product A = 12O units

Product B = 220 units

product C = 280 units

b) $9000  = max/largest profit

c) No resource left

Step-by-step explanation:

Available hours

Dept. I = 1020

Dept. II = 1140

Dept. III = 960

Total available hours = 3120 hours

products produced by each department

                  product A         Product B        Product C

Dept. I            2                           1                    2

Dept. II           3                           1                    2

Dept. III          2                           2                     1

profits             $18                      $12                 $15

Determine how many units of each product to be produced to attain maximum profit

let each product be represented as : x , y , z

2x + y + 2z  = 1020 -------- ( department  A ) --- 1

3x + y + 2z  = 1140   -------- ( department B ) --- 2

2x + 2y + z = 960    --------- ( department c ) ---- 3

max profit : 18 x + 12y + 15 y

solving  equation 1 from  2

x = 120

solve equation 2 from 3 simultaneously

x - y + z = 180

-y + z = 60

solve equation 1 and 3

-y + z = 60

∴ z =  60 + y

back to equation 1

2( 120 ) + y + 2( 60 + y ) = 1020

240 + y + 120 + 2y = 1020

y = (1020 - 360 )/ 3 = 220

therefore ; z = 60 + 220  = 280

amount of each product to be produced to gain maximum profit

product A = 12O units

Product B = 220 units

product C = 280 units

ii) The largest profit

18 ( 120 ) + 12(220) + 15 ( 280 ) =  $9000

Solve the following system of linear equations by substitution and determine whether the system has one solution, no solution, or an infinite number of solutions. If the system has one solution, find the solution.
-4x+y=12
-8x+2y=14

Answers

Answer:

no solution

Step-by-step explanation:

Evaluate
56% of 700
Can someone please help me ;)

Answers

The answer is 392. Ok so first you turn 56% into a decimal. You do that by moving the decimal place two spaces to the left. So that leaves you with 0.56. Next you multiply 0.56 x 700, because in math the word “of” means to multiply. 0.56 x 700 = 392. So 56% of 700 is 392. I hope this helps! :)

Please help I’ll give points + brainalist

Answers

Answer:

D

Step-by-step explanation:

median because it indicates the expected range of gas prices

Select the correct answer. What is the period of ? A. B. C. D.

Answers

What is this question what the heck

Answer:=

2π/3

Step-by-step explanation:

plato

(07.01)
What is the value of x in the equation x + 10 = 13? (4 points)
1-3
0 2 3
3) 13
4) 23

Answers

x+10=13
-10 -10
—————
x= 3

Answer is: 2) 3

Answer:

x=3

Step-by-step explanation:

x+10=13

x=13-10

x=3

Find the surface area of the following figure with the given dimension

Answers

Answer:

435 in.²

Step-by-step explanation:

Surface area of the square pyramid = area of the square base + ½(Perimeter of base)(slant height)

Area of base = s²

s = 15 in

Area = 15² = 225 in²

Perimeter of the base = 4(15) = 60 in

Slant height = 7 in

Surface Area = 225 + ½(60)(7)

= 435 in.²

Chris ran 3 miles in 15 minutes and continues to run at this rate for 1 hour. Amy ran 4 miles in
30 minutes and continues to run at this rate for 1 hour. Fill in the blank to complete the
sentence.
Amy will run _____ miles in 1 hour.
A. 7.5
B. 8
C. 4
D. 10
E. Not listed

Answers

Answer:

B) 8 miles

Step-by-step explanation:

30 mins is half an hour. And she ran 4 miles if you multiply both then you get 8 miles in 1 hour.

how do you solve 6 1/2 x 16?​

Answers

Answer:

Step-by-step explanation:

Make 6 1/2 an irrational fraction: 13/2 (I dunno know if its called that )

divide 16 by 2: 8

multiply that by 13: 104

Tell me if this helps or not bc I'm not really sure, but I really hope I helped!

. An oil refnery is located on the north bank of a straight river that is 2 km wide. A pipeline is to be constructed from the refnery to storage tanks located on the south bank of the river 6 km east of the refnery. The cost of laying pipe is $400,000ykm over land to a point P on the north bank and $800,000ykm under the river to the tanks. To minimize the cost of the pipeline, where should P be located

Answers

Answer:

The point P should be located at 0,51 Km from point B, to minimize costs

Step-by-step explanation:

The oil refinery ( point A ) the opposite point ( B) in the south bank, and the storage tank (point C) these three points shape a right triangle. Let´s call x the distance between point A and point P ( the arriving point of the pipeline in the south bank ) then:

Cost = cost of pipeline in-ground* ( 6 - x ) + cost of pipeline in water* L

where L is the hypothenuse of the right triangle  ( A , B , P )

Cost ($) = 400000 * ( 6 - x ) + 800000 * √ 2² + x²

C (x) = 400000* ( 6 - x ) + 800000* √4 + x²

C(x) = 2400000 - 400000*x  + 800000* √4 + x²

Tacking derivatives on both sides of the equation

C´(x) = - 400000 + 800000* ( 2x)/√4 + x²

C´(x) = 0         - 400000 + 1600000*x / √4 + x²  = 0

- 400000* (√4 + x² )  + 1600000*x  = 0

- (√4 + x² ) + 4* x = 0

- (√4 + x² )  = - 4*x

Squaring both sides

4 + x²  = 16*x²

15*x² = 4

x² = 4/ 15

x = ± √0,27

x = ± 0,51

We should dismiss the negative solution

x = 0,51 Km

The point P should be located at 0,51 Km from point B

A biologist found the wingspans of a group of monary butterflies to be normally distributed with a mean of 52.5 mm and a standard deviation of 2.5 mm. What percent of the butterflies had the following wingspans? A. Less than 48.9 mm B. Between 49 and 55

Answers

Answer:

A. 7.5%

B. 68.26%

Step-by-step explanation:

Normal Probability Distribution:

Problems of normal distributions can be solved using the z-score formula.

In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.

Mean of 52.5 mm and a standard deviation of 2.5 mm.

This means that [tex]\mu = 52.5, \sigma = 2.5[/tex]

A. Less than 48.9 mm

The proportion is the pvalue of Z when X = 48.9. So

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]Z = \frac{48.9 - 52.5}{2.5}[/tex]

[tex]Z = -1.44[/tex]

[tex]Z = -1.44[/tex] has a pvalue of 0.075

0.075*100% = 7.5%, which is the answer.

B. Between 49 and 55

The proportion is the pvalue of Z when X = 55 subtracted by the pvalue of Z when X = 49. So

X = 55

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]Z = \frac{55 - 52.5}{2.5}[/tex]

[tex]Z = 1[/tex]

[tex]Z = 1[/tex] has a pvalue of 0.8413

X = 49

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]Z = \frac{49 - 52.5}{2.5}[/tex]

[tex]Z = -1[/tex]

[tex]Z = -1[/tex] has a pvalue of 0.1587

0.8413 - 0.1587 = 0.6826

0.6826*100% = 68.26%, which is the answer.

The percent of the butterflies had the given wingspans are;

A) 7.5%

B) 76.64%

We are given;

Population mean; μ = 52.5 mm

Population standard deviation; σ = 2.5 mm

Formula for z-score is;

z = (x' - μ)/σ

A) For less than 48.9 mm,P(X' < 48.9);

z = (48.9 - 52.5)/2.5

z = -1.44

From online p-value from z-score calculator, we have;

P(X' < 48.9) = 0.075 or 7.5%

B) For x' between 49 and 55, P(49 < X < 55)

At x' = 49;

z = (49 - 52.5)/2.5

z = -1.4

Z-score at x' = 55;

z = (55 - 52.5)/2.5

z = 1

From online p-value from z-score calculator, the p-value between the two z-scores is;

p = 0.7664 or 76.64%

Read more about z-scores at; https://brainly.com/question/6316394

what is the markup percentage based on retail for an item with a dollar mark up of $70.00, cost of $30.00, and retail price of $100.00?

Answers

Answer:

70/100= 0.7= 70%

70%

What’s the answer to 2 + 6 = ?

I don’t care what you say, this is just get one of you a Brainliest.

Answers

the answer is 27792973738 krabby patties

2+6 is 8

(It says I need 20 characters to make an answer so Im just writing this down)

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