find the trig value (with work)

Find The Trig Value (with Work)

Answers

Answer 1

Answer: B (4/5)

Step-by-step explanation:

SOH CAH TOA

T = opposite/hypotenuse

Opposite = 32

Hypotenuse = 40

Simplify 32/40 = 4/5


Related Questions

Find the volume of the solid under the plane 3x + 5y − z = 0 and above the region bounded by y = x and y = x4.

Answers

Answer:

13/18

Step-by-step explanation:

See attachment

Candice skipped 12 m in 3 seconds. What was her speed in m/s?

Answers

Answer:

4 m/s

Step-by-step explanation:

Take the number of meters and divide by the number of seconds

12 m/3s

4 m/s

Her speed is 4m per second. Remember the formula for speed is Distance divided by Time

Mr. Clopu buys an 18-month CD that pays 434% simple interest for $5,000. Find the value of the CD at the end of its term.

Answers

Answer:

FV= $5,325.8

Step-by-step explanation:

Giving the following information:

Mr. Clopu buys an 18-month CD that pays 4.34% simple interest for $5,000.

To calculate the future value, we need to use the following formula:

FV= (P*r*t) + P

P= $5,000

r= 0.0434/12= 0.00362

t= 18

FV= [(5,000*0.00362)*18] + 5,000

FV= $5,325.8

The value of the CD at the end of its term is $39,060

Given:

Time = 18 month

Principal = $5000

Interest rate = 434%

Future value = ?

Future value = Principal × Rate × Time

= 5,000 × 434% × 18

= 5000 × 434/100 × 18

= 5000 × 4.34 × 18

= 39,060

Therefore, the value of the CD at the end of its term is $39,060

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suppose 123 people voted for danny if 55 of the votes from girls to votes for boys explain

Answers

Answer:

Suppose 123 people voted for Danny. If 55 of the votes were from girls, what would be the ratio of votes from girls to votes from boys? If 55 were girls then there were 123-55 = 68 boys. Thus the ratio would be 55 girls to 68 boys, or 55/68.

Answer:

60

Step-by-step explanation:

A helicopter’s speed increases from 30 m/s to 40 m/s in 5 seconds.

What is the acceleration of this helicopter?

______m/s2

Answers

Answer:

2m/s^2

Step-by-step explanation:

the difference between 30 and 40 is 10. divide 10 by 5 and you get 2

Answer:

The answer is 2m/s2

Step-by-step explanation:

i got it right

5x + y =7
20x + 2 = y

Answers

Answer:

y = 6

x = 0.2

Step-by-step explanation:

5x + y =7

20x + 2 = y

5x(4) + y(4) = 7(4)

20x + 4y = 28

(20x = 28 - 4y) = (20x = y - 2)

28 - 4y = y - 2

30 - 4y = y

30 = 5y

y = 6

5x + y =7

20x + 2 = y

y = 7 - 5x

7 - 5x = 20x + 2

5 - 5x = 20x

5 = 25x

x = 0.2

evaluate 292.4 divided by 17.
THANK YOU! :)​

Answers

Answer:

17.2

Step-by-step explanation:

Can someone help and evaluate this please

Answers

the answer is 252





PEMDAS OR BEDMAS EVALUATION WILL HELP, parentheses first then outside of the parentheses from left to right. remember 3 to the power of 2 doesn’t mean 3 x 2, it means 3 x 3 basically doubling the number in a multiplication problem

The coordinates below lie on the line with the given slope. find the missing coordinate value. (2,2) (5,y) slope = 2

Answers

Step-by-step explanation:

Hey there!

The given points are; (2,2) and (5,y).

Slope (m) =2

Using formula for slope, we get;

[tex]m = \frac{y2 - y1}{x2 - x1} [/tex]

Put all values.

[tex]2 = \frac{y - 2}{5 - 2} [/tex]

Simplify it to get value of"y".

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

[tex]6 = y - 2[/tex]

[tex]y = 6 + 2[/tex]

Therefore, y= 8.

Hope it helps...

Find mWYZ as well Find mACB please help with both. Thank you every much! Triangles, Need help, right now I’m does adding more stuff so it can stop saying 20 characters.

Answers

Answer:

m<WYZ = 23°

m<ACB = 87°

Step-by-step explanation:

Problem 1: Find WYZ

Given,

m<WVX = (3x - 7)°

m<VYZ = (16x - 3)°

∆WYZ ~ ∆WVX, therefore:

m<WYZ = m<WVX (corresponding angles of similar triangles are congruent)

m<WYZ = (3x - 7)° (substitution)

Create an equation to find the value of x.

m<WYZ + m<VYZ = 180° (linear pair)

(3x -7)° + (16x - 3)° = 180° (substitution)

Solve for x

3x - 7 + 16x - 3 = 180

Add like terms

19x - 10 = 180

Add 10 to both sides

19x - 10 + 10 = 180 + 10

19x = 190

Divide both sides by 19

19x/19 = 190/19

x = 10

m<WYZ = (3x - 7)

Substitute x = 10

m<WYZ = 3(10) - 7 = 30 - 7

m<WYZ = 23°

Problem 2: Find m<ACB

Given,

m<A = 62°

m<AED = (11x - 2)°

m<B = (6x + 13)°

∆ADE ~ ∆ACB, therefore:

m<AED = m<B (corresponding angles of similar ∆s are congruent)

(11x - 2)° = (6x + 13)°

Solve for x

11x - 2 = 6x + 13

Collect like terms

11x - 6x = 2 + 13

5x = 15

Divide both sides by 5

5x/5 = 15/5

x = 3

m<ACB + m<B + m<A = 180° (sum of ∆)

m<ACB + (6x + 13) + 62° = 180° (substitution)

Plug in the value of x and solve

m<ACB + (6(3) + 13) + 62° = 180°

m<ACB + (6(3) + 13) + 62° = 180°

m<ACB + (18 + 13) + 62° = 180°

m<ACB + 31° + 62° = 180°

m<ACB + 93° = 180°

Subtract 93 from both sides

m<ACB = 180° - 93°

m<ACB = 87°

-7+8
what is negative 7 plus 8?

Answers

Answer:

1

Step-by-step explanation:

You could have just used a calculator tard lol

Answer:

1

Step-by-step explanation:

-7 +8=1 cause you have 1 positive left over

The value is directly proportional to the value of x. If y =102 when x = 6, what is the value of y when x= 24

Answers

Answer:

y=408

Step-by-step explanation:

y is directly proportional to x

y=kx (where k is the constant)

102=6k

102÷6=k

17=k

y=17x

find y when x=24

y=17(24)

y=408

mental math again 60x40x2

Answers

Answer:

the answer is 4800

Answer:

What is mental math?

Mental math is definitely what it sounds like—doing math in your head. But it’s also more nuanced than that. Being good at mental math tricks doesn’t mean that you’re able to solve 8974387 x 396 in your head instantly; while cool, that wouldn’t be very practical for daily life. So what does mental math mean?

It really just means being able to calculate in your head. It doesn’t mean you can solve every type of problem every time, nor is it a skill that you either “have” or “don’t have”; it’s a skill that you can learn, practice, and improve so that you can solve a bigger range of problems. And mental math certainly doesn’t have to be entirely in your head, either. Jotting down the numbers you need to remember to give you a head start (no pun intended), or writing down your solutions at each “step,” does not negate the “mental”-ness of the math.

Is mental math useful?

Ask this question again next time you’re trying to figure out a tip or doing any kind of construction or home improvement project! And, in addition to handy practical uses, knowing how to do mental math can also just keep your brain sharp and curb your reliance on calculators. Because, come on, doesn’t it feel good to reach for a calculator only to realize, “Wait, I don’t need it!” and figure out the answer in your head? (Spoiler: It does!) Not to mention knowing how to mentally solve small, simple math problems can save you some steps and help you out if you do need to solve a more complicated, difficult problem. There are always going to be some math problems that it would be silly to not solve with a calculator, but, yes, mental math is useful. And if you’re wondering if math itself is useful, math lessons you’ll actually use in real life.

Step-by-step explanation:

The selling price of a car is $11,000. Each year, it loses 17% of its value.Find the exponential function that gives the value of the car t years after its purchase. Write your answer in the form f(t)=a(b)t.

Answers

Answer:

The answer is "[tex]\bold{11000(0.83)^t}[/tex]".

Step-by-step explanation:

[tex]\bold{ \text{selling price}} = \$ 11,000 \\\\\bold{ \text{loses}} = 17 \%[/tex]

[tex]\bold{\to f(t)= c (1-r)^t} \\\\[/tex]

           [tex]=11,000 (1- 0.17)^t\\\\=11,000(0.83 )^t[/tex]

What is the equation of the line that passes through the point (-6,-7)(−6,−7) and has a slope of 0?

Answers

Answer:

y = -7

Step-by-step explanation:

The equation of a line is:

y = mx + b    where m = slope

To find b, plug in a point and solve.

(-6,-7)

y = mx + b

-7 = 0(-6) + b

- 7 = 0 + b

-7 = b

So the equation is:

y = 0x + b or

y = -7

No matter what you plug into x, y = -7, because your slope is 0.

The equation of the line that passes through the point (-6,-7) and with slope 0  is [tex]y=-7[/tex].

Point through which the given line passes ≡ (-6,-7)

The slope of the line =0

What is the equation of a straight line?

The equation of a straight line passing through the point (x₁, y₁) is given by: [tex]y-y_1 =m(x-x_1)[/tex]

where m is the slope of the line.

So, the equation of the line that passes through the point (-6,-7) and with slope 0 will be:

[tex]y-(-7) = 0(x-(-7))[/tex]

[tex]y+7 =0[/tex]

[tex]y =-7[/tex]

So, the required equation of the line is y=-7.

Therefore,  the equation of the line that passes through the point (-6,-7) and with slope 0  is [tex]y=-7[/tex].

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On two examinations, you have grades of 87 and 86. There is an optional final examination, which counts as one grade. You decide to take the final in order to get a course grade of Ameaning a final average of at least 90 a. What must you get on the final to in the course? b. By taking the final, if you do poorly, you might risk the B that you have in the course based on the first two exam grades. your final average is less than , you lose your B in the courseDescribe the grades on the final that will cause this to happen

Answers

Step-by-step explanation:

We have

87+86+x

T is the total scores

n is number of tests done = 3

T/n is greater than or equal to 90

To get minimum test

T/n = 90

T = 90*n

= 90n

We solve for x

Remember n = 3

90x3 = 270

270 = 87+86+x

270 = 173+x

X = 270-173

X = 97

1.

X = 97

2.

You didn't add a value in your part b question. I used 80 though.

T/n < 80

T<80n

80x3= 240

T<240

87+86+x<240

X<240-173

X<67

X has to be less than 67 so we conclude that if x <=67 b grade will be lost.

3. An almirah is sold at 5,225 after allowing a discount of 5%. Find its marked price.

Answers

Answer:

4,963.85

Step-by-step explanation:

Cliff needs 6 meters of wood for a building project. He already has 3
meters of wood.
Approximately how many feet of wood does Cliff need? (One meter
is approximately 3.3 feet.)
1 foot
03 feet
O 6 feet
10 feet



Help plzzz

Answers

Answer:

3 meters or 9.9 feet rounded up is 10 feet because they only sell wood by the foot.

Step-by-step explanation:

6 meters - 3 meters = 3 meters

1meter = 3.3 feet

3 meters x 3.3ft = 9.9 feet

What is 1047.04 divided by 16

Answers

Answer:

D

Step-by-step explanation:

Cause the calculator says so...

Answer:

65.44

Step-by-step explanation:

I copied and pasted but this is the answer 65.44

Robert accepted a new job at a company with a contract guaranteeing annual raises.
Robert's salary after working for n years can be determined using the equation
S = 5000n + 60000. What is the slope of the equation and what is its
interpretation in the context of the problem?

Answers

Answer:

The slope is 5000, this means that for each additional year Robert works at the company, he earns 5000 more dollars.

Step-by-step explanation:

The slope is 5000, this means that for each additional year Robert works at the company, he earns 5000 more dollars.

What is slope?

In mathematics, the slope or gradient of a line is a number that describes both the direction and the steepness of the line.

Here, given that,

Robert's salary after working for n years can be determined using the equation

S = 5000n + 60000.

Hence, The slope is 5000,

this means that for each additional year Robert works at the company, he earns 5000 more dollars.

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Please help
Answer ​

Answers

Answer:

STEP 3.) x = 9/8

Step-by-step explanation:

x + 5/8 = 7/4

x + 5/8 - 5/8 = 7/4 - 5/8

= x =9/8

Steven earns extra money babysitting. He charges $34.50 for 6 hours and $46.00 for 8 hours.

Enter an equation to represent the relationship. Let x represent the number of hours Steven babysits and y represent the amount he charges.

Answers

Answer:

y = 5.25x + 4

Step-by-step explanation:

(hours, money)

(6, 34.50)

(8, 46.00)

Slope: change in y/change in x

11.5/2

5.25

Y - intercept: b

46 = 5.25(8) + b

46 = 42 + b

4 = b

Put it all together

Melody is factoring the expression x^3 - 2x^2 + 4x - 8. Her first two steps are shown.

x^3 - 2x^2 + 4x - 8 = x^2(x - 2) + 4(x - 2)
= (x^2 + 4)(x - 2)

What should Melody do next to finish factoring the expression?

A. Melody has completely factored the expression.

B. Melody should rewrite (x^2 + 4) as (x - 2)^2

C. Melody should rewrite (x^2 + 4) as (x - 2)(x + 2)

D. Melody should rewrite (x^2 + 4) as (x + 2)^2

Answers

Answer:

A, melody completed factoring

Step-by-step explanation:

Melody has completely factored the expression which is correct option(A).

What is expression?

Expressions is the defined as mathematical statements that have a minimum of two terms containing variables or numbers.

Given the expression,

⇒ x³ - 2x² + 4x - 8

⇒ x²(x - 2) + 4(x - 2)

⇒ (x² + 4)(x - 2)

So, factors of given expression are (x² + 4)  and (x - 2).

Hence, Melody has completely factored the expression.

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HURRY (FIND RATE OF CHANGE)

Answers

Answer:

G

Step-by-step explanation:

50 dollars is the initial value of 0 deposits

150 dollars is equal to 1 deposit

The weights of children in the Egyptian village of Nahya were recorded. Here are the mean weights of the 170 children in that village: Age(months) 1 2 3 4 5 6 7 8 9 10 11 12 Weight (kg) 4.3 5.1 5.7 6.3 6.8 7.1 7.2 7.2 7.2 7.2 7.5 7.8 a. Make a scatter plot of mean weight against age. b. Is there a positive or negative association between the two variables

Answers

Answer:

Kindly check explanation and attached picture

Step-by-step explanation:

Given the data:

Age(months) : 1 2 3 4 5 6 7 8 9 10 11 12

Weight (kg) : 4.3 5.1 5.7 6.3 6.8 7.1 7.2 7.2 7.2 7.2 7.5 7.8

a. Make a scatter plot of mean weight against age.

Scatter plot of mean weight against age can be found in the attached picture

b. Is there a positive or negative association between the two variables

There is a positive association between the weight and age variable ; as weight increases as age increases. Also the slope of the best fit line is positive

1.a) Convert 81° into grade.
10​

Answers

Step-by-step explanation:

I hope it helps man this much .

A popular restaurant advertises that it delivers its orders within 30 minutes. Suppose the average delivery time for one store is 27 minutes with a standard deviation of three minutes. One particular order delivery has a z-score of –2.15. Which of the following statements is not a correct interpretation?

A.The delivery time was 2.15 standard deviations below the average delivery time.
B.The delivery time was less than the average delivery time by 2.15 standard deviations.
C.The delivery time was faster than the average delivery time by 2.15 standard deviations.
D.The delivery time was slower than the average delivery time by 2.15 standard deviations.

Answers

Answer: B. The delivery time was less than the average delivery time by 2.15 standard deviations.

Step-by-step explanation:

Given: A popular restaurant advertises that it delivers its orders within 30 minutes.

Suppose the average delivery time for one store is 27 minutes with a standard deviation of 3 minutes.

z-score value represents the number of standard deviations is the data value is far from mean.

Here, z-score = -2.15 which clearly indicates that the delivery time was 2.15 standard deviations below( '-' sign suggest value is below mean) the average delivery time.

Hence, the correct option is B.

Answer:

B

Step-by-step explanation:

Give 3 names for x intercepts of a quadrants equation

Answers

Answer:

Zeros

Roots

Solution (Set)

Step-by-step explanation:

As you can tell there are a handful of different names!

Determine the equation of a circle with center (5,-3) and radius of 9

Answers

Step-by-step explanation:

solve by using the formula

The required equation of a circle with a center (5, -3) and radius of 9 is x² + y² -10x + 6y - 48 = 0.

What is a circle?

The circle is the locus of a point whose distance from a fixed point is constant i.e center (h, k). The equation of the circle is given by

(x - h)² + (y - k)² = r²

where h, k is the coordinate of the center of the circle on the coordinate plane and r is the radius of the circle.

As in the mentioned question,
center (5,-3) and radius is 9,
(x - h)² + (y - k)² = r²

(x - 5)² + (y +3)² = 9²
x² + y² -10x + 6y - 48 = 0

Thus, the required equation of a circle with a center (5, -3) and radius of 9 is x² + y² -10x + 6y - 48 = 0.

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A furniture company is producing three types of furniture. Product A requires 7 board feet of wood and 4 lbs of wicker. Product B requires 5 board feet of wood and 5 lbs of wicker. Product C requires 4 board feet of wood and 3 lbs of wicker. There are 3000 board feet of wood available for product and 1400 lbs of wicker. Product A earns a profit margin of $35 a unit, Product B earns a profit margin of $42 a unit, and Product C earns a profit margin of $20 a unit. Formulate the problem as a linear program.

Answers

Step-by-step explanation:

this is a linear programming problem, and we are expected to draw up the linear program for the solution of the problem.

The objective function is

Maximize

35A+42B+20C=P    

subject to constraints(board and wicker)

The constraints are

  board

7A+5B+4C=3000

 wicker

4A+5B+3C=1400

A>0, B>0, C>0

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