A boat is moored at a dock, as shown in the figure.

What is the length of rope A?

Note: The triangle formed is a right triangle.




8.3 ft


10.5 ft


12.3 ft


8.6 ft

A Boat Is Moored At A Dock, As Shown In The Figure. What Is The Length Of Rope A?Note: The Triangle Formed

Answers

Answer 1
Answer
12.3

Explanation

cos35=Side adjacent to 35/hypotenuse

=0.81915204428=A/15
A=0.81915204428x15
A=12.2872806642

12.3ft
Answer 2

Answer:

12.3

Step-by-step explanation:

i took the quiz


Related Questions

What is the value of v?

Answers

By isosceles triangle theorem,

Angle ZXY = Angle ZYX

The sum of the angles in a triangle is 180 degrees.

106 + 2 same angles (-106) = 180 (-106)  (Subtract 106 by both sides)

2 same angles (/ 2) = 74 (/ 2)   (Divide 2 by both sides)

V = 37

Answer:

The value of v is 37°.

Step-by-step explanation:

Given that △ XYZ is an isosceles triangle where both sides have the equal angles. The total angle of △ is 180°. Let ∠ZXY and ∠ZYX be the same angles:

Let ∠ZXY = v, ∠ZYX = v, ∠ XZY = 106°,

∠ZXY + ∠ZYX + ∠XZY = 180°

v + v + 106° = 180°

2v + 106° = 180°

2v = 180° - 106°

2v = 74°

v = 74 ÷ 2

v = 37°

Given that m||n, find the value of x.

Answers

Answer:

x = 24°

Step-by-step explanation:

Using 180-degree formula, we can find x.

=> 84 + 4x = 180°

=> 4x = 180 - 84

=> 4x = 96

=> 24°

Therefore, x = 24°

Hoped this helped.

Answer:

[tex] {\boxed {\sf{x = 24 \degree}}}[/tex]

Step-by-step explanation:

In the given figure we have two consecutive interior angles.

We know that each pair of consecutive interior angles is supplementary.

So,

4x+84 = 1804x = 180 - 844x = 96x = 96/4x = 24

Therefore, x = 24°

A shipment of 8 computers contains 3 with defects. Find the probability that a sample of size 2, drawn from the 8, will not contain a defective computer.
What is the probability that a sample of 2 of the 8 computers will not contain a defective computer?
(Type an integer or a simplified fraction.)

Answers

Answer:

5/28

Step-by-step explanation:

First of all, probability is defined as the number of ways a certain event can happen divided by the total ways of an event happening. In this scenario, we are asked to find the number of non-defective computers divided by the total ways that a sample of two can be chosen.

The number of ways to choose 2 computers from 8 can be written as [tex]8\choose2[/tex], which is equal to [tex]\frac{8\cdot7}{2}[/tex], which is 28. Now, there are 3 defective computers, for a total of 5 non-defective computers, so the probability is 5/28.

The ratio of 70 minutes to 2 hours is

Answers

Hey there!

70 minutes

= 1 hour 10 minutes

2 hours

= 60 minutes * 2 minutes

= 60 minutes + 60 minutes

= 120 minutes

70/120

= 70 ÷ 10 / 120 ÷ 10

= 7 / 12

Therefore, your answer is: 7:12 OR 7/12

Good luck on your assignment and enjoy your day!

~Amphitrite1040:)

A construction crew needs to pave a road that is 207 miles long. The crew paves 8 miles of the road each day. The length, L (in miles), that is left to be paved after d days is given by the following function. L(d) = 207–8d Answer the following questions. (a) IF 143 miles of the road is left to be paved, how many days has the crew been paving the road? E 1 days (b) How many miles of the road does the crew have left to pave after 13 days? ​

Answers

Answer:

8: 207

x: 143

and solve that to get your answer

The required answers are-

(a) The crew been paving the road for 8 days.

(b) 103 miles of the road have left for the crew to pave after 13 days.

What is an equation?

In mathematics, an equation is a formula that expresses the equality of two expressions by connecting them with the equal sign = .

The given equation to pave a road is,

L(d) = 207– 8d

where, length, L (in miles), and d days.

(a) For 143 miles of the road is left to be paved, the number of days is given as-

Put Length L(d) = 143 in the equation to pave a road

we get,

143 = 207– 8d

or, 8d  = 207– 143

or, 8d  = 64

or, d  = 64/8

⇒ d  = 8 days

So, The crew have been paving the road for 8 days.

(b) miles of the road have left for the crew to pave after 13 days.

Put d = 13 days in the equation to pave a road

we get,

L(d) = 207– 8*13

or, L(d) = 207– 104

⇒  L(d) = 103 miles

So,103 miles of the road have left for the crew to pave after 13 days.

Thus,The required answers are-

(a) The crew have been paving the road for 8 days.

(b) 103 miles of the road have left for the crew to pave after 13 days.

To learn more about roads:

brainly.com/question/1196760

#SPJ2

Find the gradient of the line segment between the points (4,-6) and (-6,-16).

Answers

Answer:

1

Step-by-step explanation:

gradient M= change in Y / change in X

= (-16--6)/(-6-4)

= -10/-10

M therefore= 1

ill mark brainliest thanks​

Answers

Answer:

x=10

Step-by-step explanation:

The exterior angle of a triangle is equal to the sum of the opposite interior angles

6x-7 = 26+2x+7

Combine like terms

6x-7 = 2x+33

Subtract 2x

6x-7-2x =2x+33-2x

4x-7 = 33

Add 7 to each isde

4x-7 +7 = 33+7

4x=40

Divide by 4

4x/4 = 40/4

x=10

The graph of the linear function is shown on the coordinate grid. What is the equation of this line?​

Answers

y=-1/3-2

Hope this helps!! :)

Decide whether the two inequalities are equivalent. Explain.
b- 12 24: bs 16
O A Yes; if you solve the first inequality for b, you will get the second inequality.
o
B. No; if you graph both inequalities on the same number line, you will cover all real numbers.
O C. No; if you solve the first inequality for b, you will end up with an inequality with a different relation symbol than the second inequality
OD. No, if you graph both inequalities on the same graph, you will get b = 16.

Answers

Answer:

D,no if you graph both inequalitiesvon thevsame geaph ,you will get b =16

Divide 2/3 by 1/5. Simplify your answer and write it as a mixed number.

Answers

Answer:

3.33

Step-by-step explanation:

3.33

mixed number= 3 1/3

Answer:

3 1/3

Step-by-step explanation:

[tex]\frac{\frac{2}{3}}{\frac{1}{5}}[/tex] =

[tex]\frac{2}{3} * \frac{5}{1} = \frac{10}{3}[/tex]

10/3 = 3 1/3

-Chetan K

Please take a look at the picture

Answers

Answer:

A and B

Step-by-step explanation:

They both have the same numbers and at least one of the given numbers is negative.

Hope this helps :)

9.
Identify the point corresponding to Q.

IT'S NOT A. Q' (-3, -4)

A. Q′ (−3, −4)

B. Q′ (−4, 1)

C. Q′ (−1, −4)

D. Q′ (−4, −3)

Answers

Answer:

C(-1, -4)

Step-by-step explanation:

see the point reflected over the line through the vertex point

Answer:

D. Q′ (−4, −3)

Step-by-step explanation:

From looking at the graph it looks like the answer would be

Q= (3, -4) if the X-axis goes first

Q= (-4, 3) if the Y-axis goes first

A new cell phone costs $108.99 in the store. What would your total cost be if the sales tax is 4.5%? Round your answer to the nearest cent, if necessary.

Answers

Answer: $113.89

Step-by-step explanation:

108.99 * 0.045

= 4.90455

108.99 + 4.90455

= 113.89455

$113.89

Answer:

Total Cost = $113.89

Step-by-step explanation:

Total Cost = Cell phone cost + sale Tax % ( cell phone cost)

Total Cost = $108. 99 + .045 × $108.99

Total Cost = $108.99 + $4.90455

Total Cost = $108.99 + $4.90

Total Cost = $113.89

Can someone help me please

Answers

Answer:

sorry i can answer that the asy

Answer:

Q1 - 10080

(sorry couldn't do q2 haha)

step by step;

If a slingshot is used to shoot a marble straight up into the air from 2 meters above the
ground with an initial velocity of 30 meters per second, for what values of time t will the
marble be over 35 meters above the ground? (Refer to Exercise 25 in Section 2.3 for assistance
if needed.) Round your answers to two decimal places

Answers

Answer:

use this equation: GPE=mgh

Step-by-step explanation:

GPE = gravitational potential energy = J

m = mass = Kg

g = gravitational field = N/kg = world's gravitational field is 9.8N/kg

h = height = m

please help.......,................​

Answers

Answer:

8×1=8+64=72

Step-by-step explanation:

there is your answer are you happy now

solve pls brainliest

Answers

Answer:

40

Step-by-step explanation:

LCD = 40
9/8 and 1/10 = 45/40 and 4/40

what is the greatest number of obtuse angles that a right triangle can contain

Answers

Step-by-step explanation:

i think this is the answer

Answer:

Zero

Step-by-step explanation:

Obtuse angle is the angle greater than 90°.

A right triangle has one 90° and the sum of remaining angles is 90°.

It means a right triangle can't have an obtuse angle.


Melanie read 52 pages in 1 hours. If she continues reading at the same rate, how
many pages will she read in an hour?

Answers

If she read 52 pages in one hour, then she'll continue at a rate of 52 pages per hour.

Answer:

52 pages

Step-by-step explanation:

Since she reads 52 pages in 1 hour we multiply 52 by the amount of hours she reads.

52 pages times 1 hour equals 52 pages.

52 x 1 = 52

Amanda's family is taking a road trip. Their car can travel no more than 352 miles without needing to refill the gas tank. They have
traveled 108 miles since they last filled the gas tank.
Amanda knows that the inequality representing this situation is 108 + x < 352.
Select from the drop-down menu to correctly interpret the solution of this inequality.

Answers

Amanda family cannot travel more than 244 miles without needing to refill the gas tank.

Inequality is the non equal comparison of numbers or variables.

Let x represent the number of miles that they can travel before filling their gas tank.

Their car can travel no more than 352 miles without filling their tank. Also, they have traveled 108 miles since they last filled the gas tank. Hence:

x + 108 < 352

x < 244

This means that Amanda family cannot travel more than 244 miles without needing to refill the gas tank.

Find out more at: https://brainly.com/question/25285332

The monthly rent for an 800 square foot office is $975. For an 1100 square foot office, the rent is $1125. WRITE AND SOLVE A LINER EQUATION to find the monthly rent for a 1500 square foot office.

I need help and pls do it in The liner equation way which is also given two points.

Answers

Answer:

$1325

Step-by-step explanation:

Translate the given into two pairs of coordinates:

(800, 975) and (1100, 1125)

Work out the equation of the line passing through both of the points.

Find the slope:

m = (1125 - 975) / (1100 - 800) = 0.5

Find the y-intercept:

975 = 0.5*800 + b975 = 400 + bb = 975 - 400b = 575

The line is:

y = 0.5x + 575

Find the value of y when x = 1500:

y = 0.5*1500 + 575 = 1325

A store pays $65 for a robot and marks the price up by 20%. What is the amount of the
mark-up?

Answers

65 x .20 = $13 $13 is the markup and if added to the initial amount it would be $78 altogether
The answer is 13$ to that

which ordered pair would be plotted in quadrant 3

Answers

Answer:

(-5,-9)

Step-by-step explanation:

Jacob saw a model of a building that will be built in his city. The model has a height of 40 centimeters and will be built to a scale of 1:50. What is the actual height of the building? (1 m = 100 cm)

Answers

Answer:

20 m

Step-by-step explanation:

1/50 = 40/x

Cross multiply.

1 × x = 50 × 40

x = 2000

2000 cm × (1 m)/(100 cm) = 20 m

Answer: 20 m

please answer fully ?/'//////////////////////

Answers

Answer:

17.5

Step-by-step explanation:

i solved it and got that answer. hope this helps =)

 Missed 10 days of Algebra 2. I think they did some Long Division stuff but i need help figuring out how to do this stuff...
I attached an image below of some example problems

Answers

"Find all real solutions of" basically means solve for x. You're looking for the real numbers x such that the given equation is satisfied. "Zeros" is synonymous with "solutions".

It looks like the first equation is

3x³ + x² - 38x + 24 = 0

It's not immediately obvious whether this can be factorized, so we first carry out the rational zero test to see if there are any rational solutions. *If* this equation has any rational solutions, then they must take the form of (divisor of 24)/(divisor of 3). That is, take any divisor of the constant coefficient and divide it by any divisor of the leading term's coefficient.

We have

• divisors of 24 : ±1, ±2, ±3, ±4, ±6, ±8, ±12, ±24

• divisors of 3 : ±1, ±3

Sadly, there are 64 possible roots to test, but we only need one to make the rest of the problem easier.

• Let x = +1 / +1 = 1. Then plugging x = 1 into the equation gives

3•1³ + 1² - 38•1 + 24 = -10 ≠ 0

so x = 1 is *not* a solution

• Let x = +2 / +1 = 2. If x = 2, then

3•2³ + 2² - 38•2 + 24 = -24 ≠ 0

so x = 2 is *not* a solution.

• Let x = +3 / +1 = 3. If x = 3, then

3•3³ + 3² - 38•3 + 24 = 0

so x = 3 is a solution.

By the remainder theorem, this means that x - 3 divides 3x³ + x² - 38x + 24. Using long or synthetic division,

(3x³ + x² - 38x + 24) / (x - 3) = 3x² + 10x - 8

so that

3x³ + x² - 38x + 24 = 0

is the same as

(x - 3) (3x² + 10x - 8) = 0

We factorize the remaining quadratic to get

3x² + 10x - 8 = (3x - 2) (x + 4)

and so the original equation is equivalent to

(x - 3) (3x - 2) (x + 4) = 0

Solve for x :

x - 3 = 0   or   3x - 2 = 0   or   x + 4 = 0

x = 3   or   x = 2/3   or   x = -4

The other equations can be solved similarly, though some of the others you included are much simpler.

For the second problem (note that you left out an exponent), we solve the equation

x³ - 2x² - 23x + 60 = 0

Again, not immediately obvious how to factorize this. But using the rational root test, we have

• divisors of 60 : ±1, ±2, ±3, ±4, ±5, ±6, ±10, ±12, ±15, ±20, ±30, ±60

• divisors of 1 : ±1

If you follow the same steps as before, you'll find the first rational solution with x = 3. So x - 3 divides x³ - 2x² - 23x + 60, and long division gives

(x³ - 2x² - 23x + 60) / (x - 3) = x² + x - 20

and the resulting quadratic is easily factored,

x² + x - 20 = (x - 4) (x + 5)

So, we have

x³ - 2x² - 23x + 60 = (x - 3) (x - 4) (x + 5) = 0

which means

x - 3 = 0   or   x - 4 = 0   or   x + 5 = 0

x = 3   or   x = 4   or   x = -5

For the third problem, we can factor by grouping.

x³ - 4x² - x + 4 = 0

x² (x - 4) - (x - 4) = 0

(x² - 1) (x - 4) = 0

(x - 1) (x + 1) (x - 4) = 0

Then

x - 1 = 0   or   x + 1 = 0   or   x - 4 = 0

x = 1   or   x = -1   or   x = 4

For the fourth problem, we use the rational root test again, but twice this time.

x⁴ - 6x³ + 7x² + 6x - 8 = 0

• divisors of -8 : ±1, ±2, ±4, ±8

• divisors of 1 : ±1

We find that x = 1 and x = 2 are both rational roots, so both x - 1 and x - 2 divide x⁴ - 6x³ + 7x² + 6x - 8. By long division,

(x⁴ - 6x³ + 7x² + 6x - 8) / ((x - 1) (x - 2)) = x² - 3x - 4

and factoring this gives

x² - 3x - 4 = (x + 1) (x - 4)

So, we have

x⁴ - 6x³ + 7x² + 6x - 8 = (x - 1) (x - 2) (x + 1) (x - 4) = 0

which means

x - 1 = 0   or   x - 2 = 0   or   x + 1 = 0   or   x - 4 = 0

x = 1   or   x = 2   or   x = -1   or   x = 4

For the last problem,

x⁴ + 4x³ + 7x² + 16x + 12 = 0

we use the rational root test again.

• divisors of 12 : ±1, ±2, ±3, ±4, ±6, ±12

• divisors of 1 : ±1

We find that both x = -1 and x = -3 are rational solutions, and dividing gives

(x⁴ + 4x³ + 7x² + 16x + 12) / ((x + 1) (x + 3)) = x² + 4

which we cannot factorize further over the real numbers. So we end up with

x⁴ + 4x³ + 7x² + 16x + 12 = (x + 1) (x + 3) (x² + 4) = 0

so that

x + 1 = 0   or   x + 3 = 0   or   x² + 4 = 0

x = -1   or   x = -3

(We omit the third equation here because it has no real solution since x² + 4 ≥ 4 for all real x.)

12.) Samuel is 30.75 inches tall. His younger brother, Spencer, is 6 inches shorter. How tall is Spencer?​

Answers

Answer: Spencer is 24.75 inches tall

Step-by-step explanation: Just subtract 6 from 30.75 to find the answer

Answer:

The percentage increase in Spencer's height is 125%

Step-by-step explanation:

Solution:

Initial height of spencer = 28 inches  

Increased height of spencer = 5 feet 3 inches  

= 5 feet + 3 inches  

(5 feet = 5 ×12=60 inches)

= 60  + 3

If the average price of a new one-family home is 246300 with a standard deviation of 15000, find the minimum and maximum prices of the houses that a contractor will build to satisfy the middle 88% of the market. Assume that the variable is normally distributed. Use a graphing calculator and round the answers to the nearest dollar.

Minimum price:


Maximum price:

Answers

Answer:

Right tail of 10% = +1.2816

------------------------------

minimum price = -1.2816*15000+ 246,300 = $227,076.73

maximum price = +1.2816*15000 + 246,300 = $265,524.00

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

Cheers,

Stan H.

Step-by-step explanation:

Jessica's dog weighs 117 pounds. Her dog weighs 3 times as much as Evan's dog weighs.

How much does Evan's dog weigh?

Answers

Answer:

the answer is expkained below

Answer:

Evans dog would weigh 39 pounds

Step-by-step explanation:

117= 3 × X

Take 117 and divide it by 3 and the answer we would get is 39

117 ÷ 3 = 39

To double check the answer we could multiply 39 by 3 to see if we 117.

39 × 3 = 117

X= 39 pounds, so Evans dog is 39 pounds

Simplify.

5x+3(x+2)+3

A. 8x + 9
B. 5x + 8
C. 8x + 5
D. 6x + 8

Answers

Answer:

A- 8x+9

Step-by-step explanation:

Answer: A) 8x + 9

------------------------------------------

5x + 3 (x + 2) + 3

5x + 3x + 6 + 3

8x + 6 + 3

8x + 9

<3

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