In ΔXYZ, the measure of ∠Z=90°, the measure of ∠X=20°, and XY = 73 feet. Find the length of ZX to the nearest tenth of a foot

Answers

Answer 1

Answer:

ZX = 68.6 feet

Step-by-step explanation:

In this question, we are asked to calculate the length of ZX.

please check attachment for diagram of triangle.

Now, we have to use trigonometric identities to get the length xz.

Looking at the triangle, we can see we have the hypotenuse an angle and we are asked to calculate the the adjacent.

The trigonometric identity to use here is the Cosine.

Mathematically, The cosine is the ratio of the adjacent to the hypotenuse.

Cos 20 = xz/73

xz = 73 Cos 20

xz = 73 * 0.939692620786

xz = 68.6 feet

In XYZ, The Measure Of Z=90, The Measure Of X=20, And XY = 73 Feet. Find The Length Of ZX To The Nearest

Related Questions

What is the minimum amount of saran wrap that Tyler will need to cover the pencil holder, to ensure that no sand leaks out? *
1 point
a) 11.75 in²
b) 13.5 in²
c) 14.75 in²
d) 32.25 in²
e) 34 in²

Answers

Answer:

e

Step-by-step explanation:

To find the surface area of the triangular prism, you need to find the area of all the sides and add them together. The two triangular bases have already been established to have an area of 3 square units each, so together they have an area of 6 units. Two of the rectangular sides have dimensions of 3.5 by 2.5 units, while one has dimensions 3.5 by 3 units. Adding all of this together, you get a total of 34 square inches, or option e. Hope this helps!

1. Find the common difference of the sequence: 31, 26, 21, 16, ...

Answers

Answer:

it is subtract 5

Step-by-step explanation:

it is subtracting 5 from each number

What is 20 times 20 plus 10

Answers

Answer:

410

Step-by-step explanation:

20 x 20 = 400 + 10 = 410

Have a great day :)

Answer:

410

Step-by-step explanation:

20 x 20 = 400

400+ 10 = 410

60.2 rounded to the nearest hundredth

Answers

It’s gunna be 60.2 I believe
Final answer:

To round 60.2 to the nearest hundredth, we need to look at the digit in the thousandth place, which is the second digit after the decimal point. If this digit is 5 or greater, we'll round up, and if it's less than 5, we'll round down. In this case, the digit in the thousandth place is 2, which is less than 5. So, when rounding 60.2 to the nearest hundredth, we round down to 60.20.

Explanation:

To round 60.2 to the nearest hundredth, we need to look at the digit in the thousandth place, which is the second digit after the decimal point. If this digit is 5 or greater, we'll round up, and if it's less than 5, we'll round down.

In this case, the digit in the thousandth place is 2, which is less than 5. So, when rounding 60.2 to the nearest hundredth, we round down to 60.20.

Answer: 60.20

A section of a deck is shaped like a trapezoid. For this section, the length of one base is 53 feet, and the length of the other base is 46 feet. The height is 16 feet. What is the area of this section of the deck?

Answers

Answer:

792 ft²

Step-by-step explanation:

The formula for area of a trapezoid is A = [tex]\frac{a+b}{2}[/tex] * h, where a = length of base (a) and b = length of base (b) and h = height of trapezoid.

If we plug the shown values, the formula becomes

[tex]\frac{53 + 46}{2}[/tex] * 16

This simplifies to 49.5 * 16, which equals 792. The answer with units is 792 ft².

Hope I helped! Please give me brainliest!

What is the range?
The range is

Answers

Answer:

Subtracting between the lowest and highest numbers.

Step-by-step explanation:

Answer:

its 8

Step-by-step explanation:

The regular price of a calculator is $12.30. Warren paid 75¢ less than the regular price for the calculator. He also paid $1.48 for a pad of paper. What is the total amount Warren paid for these two items?

Answers

Answer:

The total amount Warren paid for these two items is $13.03

Step-by-step explanation:

Warren paid:

75¢ less than $12.30 is $12.30 - $0.75 = $11.55 on the calculator.

$1.48 for the pad of paid.

What is the total amount Warren paid for these two items?

$11.55 + $1.48 = $13.03

The total amount Warren paid for these two items is $13.03

A birthday candle costs $0.84. How much do 6 birthday candles cost?

Answers

Answer:

$5.04

Step-by-step explanation:

Take the cost of one candle and multiply the number of candles desired

6 *.84 =5.04

Answer: $5.04

Step-by-step explanation:

If one candle costs 0.84, and you need 6 then you multiply 0.84 x 6=5.04.

(x-4) (x - 4) =
x^2 -8x - 16
Ox^2+8x +16
Ox^2-8x+ 16
Ox^2-8x-16

Answers

Answer:
x^2-8x+16

Explanation:
i hope that’s what your looking for

What is the distance from the origin to point A graphed on the complex plane below? On a coordinate plane, Point A is at (negative 3, negative 2). StartRoot 5 EndRoot StartRoot 13 EndRoot 9 13

Answers

Answer:

b on edge

Step-by-step explanation:

The distance between the origin and point A is √13.

How to find the distance?

We know that the distance between two points (a, b) and (c, d) is:

[tex]D = \sqrt{(a - c)^2 + (b - d)^2}[/tex]

Here we want to find the distance between the origin, (0, 0), and the point A, which has coordinates (-3, -2).

Using the above formula we will get:

[tex]D = \sqrt{(-2 - 0)^2 + (-3 - 0)^2} = \sqrt{4 + 9} = \sqrt{13}[/tex]

The distance between the origin and point A is √13.

If you want to learn more about distance between points:

https://brainly.com/question/7243416

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Find angles b,c and d

Answers

Answer:

B = 73°, c = 107°, d= 107°

Step-by-step explanation:

[tex]b + 107 \degree = 180 \degree..(straight \: line \: \angle s) \\ b = 180 \degree - 107 \degree \\ \huge \red{ \boxed{b = 73 \degree}} \\ \\ \huge \purple{ \boxed{c = 107 \degree }}\\..(vertical \: \angle s) \\ \\ \huge \orange{ \boxed{d = 107 \degree }}\\..(corresponding \: \angle s) \\ \\ [/tex]

Caleb is a junior at JA Enterprise High School and plays rugby on the school team. He has a part-time job at a local fast-food restaurant and works 20 hours a week for $7.60 an hour. His gross monthly income is $608.00, and his take-home pay is $501.64. In his spare time, Caleb walks a dog belonging to an elderly neighbor. He earns an additional $40 per month for that chore. What is Caleb's net monthly income? Remember net income is your take home pay.

Answers

Answer:

$541.64

Step-by-step explanation:

Caleb's take Home Pay from the Restaurant =$501.64

He earns an additional $40 per month for dog-walking.

Therefore,

Caleb's net monthly income =$501.64+40 =$541.64

Final answer:

Caleb's net monthly income is $541.64 after factoring in his take-home pay and additional earnings.

Explanation:

Caleb's net monthly income is calculated by subtracting his take-home pay from his additional earnings from walking the dog:

Caleb's take-home pay = $501.64

Additional earnings from walking the dog = $40

Net income = Take-home pay + additional earnings = $501.64 + $40 = $541.64

Which fraction is equal to 0.54 ?
A. 27/50
B. 49/90
C. 6/11
D. 5/4

Answers

The answer is A. 27/50

Answer: A if you want exact not rounded

Step-by-step explanation: 27/50 = .54

49/90 = .544444444444444444444444444444.....repeating

6/11 = .5454545454545454545454545454545...... repeating

5/4= 1.25 which is wrong

A lab technician made a 14 cm diameter hole through the middle of a cylinder that has a diameter of 20 cm and a height of 28 cm. What is the approximate volume of the finished cylinder, to the nearest tenth of a centimeter

Answers

Answer:

The volume of the finished cylinder is [tex]4486.2 m^3[/tex]

Step-by-step explanation:

To find the volume of the finished cylinder, we have to first find the volume of the hole (with 14 cm diameter and a height of 28 cm) and subtract it from the volume of the original cylinder (with diameter of 20 cm and a height of 28 cm).

Note: The hole is also cylindrical in shape.

The volume of a cylinder is given as:

[tex]V = \pi r^2h[/tex]

where r = radius, h = height

VOLUME OF THE HOLE

The diameter of the hole is 14 cm, hence, its radius is 7 cm (14 / 2 = 7)

Its volume is:

[tex]V = \pi *7^2 * 28\\V = 4310.3 m^3[/tex]

VOLUME OF THE ORIGINAL CYLINDER

The diameter of the cylinder is 20 cm, hence, its radius is 10 cm (20 / 2 = 10)

Its volume is:

[tex]V = \pi *10^2 * 28\\V = 8796.5 m^3[/tex]

Hence, the volume of the finished cylinder will be:

[tex]8796.5 - 4310.3 = 4486.2 m^3[/tex]

The volume of the finished cylinder is [tex]4486.2 m^3[/tex]

Solve for x. *
(5x + 13)
(9x - 31)

Answers

Answer:

x=11

Step-by-step explanation:

5x+13=9x-31

subtract 9 from both sides.

-4x+13=-31

you want to isolate the x value so subtract 13 from both sides.

-4x=-44

now divide both sides by -4.

x=11

The solution for the variable x for given the equation (5x + 13) = (9x - 31) is equal to x = 11.

For the equation (5x + 13) = (9x - 31)

Expand the equation: 5x + 13 = 9x - 31

Combine like terms: 13 = 4x - 31

Isolate x: 4x = 44, x = 11

Therefore, the value of the variable x in the given equation is x = 11.

The above question is incomplete, the complete question is:

Solve for x.

(5x + 13) = (9x - 31)

Clint wants to wrap a present. He placed the gift in a rectangular box measuring 12 in x 3 in x 6 in. How much wrapping paper did he use?

Answers

Answer:

she use 216 ft of wrapping paper i think

please help on this problem

Answers

Answer:

n+2n = 150

n = 50

Step-by-step explanation:

n = smaller angle

The other angle is 2n

Add them together to get 150

n+2n = 150

Combine like terms

3n = 150

Divide by 3

3n/3 =150.3

n = 50

Compare the subtraction problems (6 8 − 5 8 = 1 8 ) and (6 9 − 7 9 = −1 9 ). Why is the answer to the first problem positive and the answer to the second problem negative? Check all that apply. In the second problem, the first fraction is less than the second fraction. The answer to the first problem is positive because the denominator is even. The answer to the second problem is negative because the denominator is odd. If you subtract a lesser number from a greater number, the answer is positive. If you subtract a greater number from a lesser number, the answer is negative.

Answers

Answer:

A D E

Step-by-step explanation:

A. In the second problem, the first fraction is less than the second fraction.

D. If you subtract a lesser number from a greater number, the answer is positive.

E. If you subtract a greater number from a lesser number, the answer is negative.

The correct options are given below:-

A. In the second problem, the first fraction is less than the second fraction.

D. If you subtract a lesser number from a greater number, the answer is positive.

E. If you subtract a greater number from a lesser number, the answer is negative.

What is an expression?

Expression in maths is defined as the collection of the numbers variables and functions by using signs like addition, subtraction, multiplication and division.

The expressions are as follows:-

(6/ 8 − 5/8 = 1 8 ) and (6/ 9 − 7 / 9 = −1 / 9 )

In the second problem, the first fraction is less than the second fraction. If you subtract a lesser number from a greater number, the answer is positive. If you subtract a greater number from a lesser number, the answer is negative. All the statements are correct for the given expressions.

To know more about Expression follow

https://brainly.com/question/723406

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A person places $5540 in an investment account earning an annual rate of 2.5%,
compounded continuously. Using the formula V = Pent, where V is the value of the
account in t years, P is the principal initially invested, e is the base of a natural
logarithm, and ris the rate of interest, determine the amount of money, to the
nearest cent, in the account after 20 years.​

Answers

Answer:

$9,133.92

Step-by-step explanation:

V = P*e^(rt)

V = $5540 * e ^ (0.025*20)

V = 5540 * e^(0.5)

V = 5540 * 1.648721

V = $9,133.9158

about $9,133.92

Final answer:

The amount of money in the account after 20 years with continuous compounding at an annual rate of 2.5% is approximately $9138.13.

Explanation:

To calculate the amount of money in an investment account after 20 years with continuous compounding, we use the formula V = Pe^rt, where:

P is the principal amount ($5540),

e is the base of the natural logarithms (approximately 2.71828),

r is the annual interest rate (2.5% or 0.025 as a decimal), and

t is the number of years the money is invested (20 years).

Plugging these values into the formula, we get:

V = $5540 × e^(0.025 × 20)

Using a calculator with the capability to compute e raised to a power, we find:

V ≈ $5540 × 2.71828^0.5

V ≈ $5540 × 1.64872

V ≈ $9138.13

Hence, the value of the investment after 20 years, to the nearest cent, is approximately $9138.13.

Find the percent of change from the original price of $184 to the sale price of $138.

Answers

Answer: 25%

Step-by-step explanation:

184-138= 46

184*.25=46

Trip uses 3.175 liters of water to make
slime. How many milliliters of water does he
use to make the slime?

Answers

Answer:

3,175 milliliters

Step-by-step explanation:

There are 1,000 milliliters in a liter, therefore you must use the equation

3.175(1,000), which gives you 3,175 milliliters of water

Answer:

I think 3,175 milliliters in volume if that's what u are looking for

Step-by-step explanation: I converted 3.175 liters to milliliters.

Can someone please help this is due today

Answers

Answer:

3.2

Step-by-step explanation:

First, you have to arrange them in proper numerical order (least to greatest).

84, 88,90,92,96

Next, find the mean by adding them all up and dividing them by 5.

84 + 88 + 90 + 92 + 96 = 450

450 divide by 5 equals 90.

Now, that we have our mean, we have to subtract it from each of the numbers in the data set. Remember this is absolute so there is no negatives.

84 - 90 = 6

88 - 90 = 2

90 - 90 = 0

92 - 90 =2

96 - 90 = 6

Next, line them up again.

2,2,6,6

Find the mean of them:

2 + 2 + 6 + 6 = 16

16 divided by 4 is 4.

Therefore, our answer would be the MAD is 4.0

George and Cameron went on a bicycle trip they took a bus to the starting point they bought the rest they traveled 350 km in total and they bite 80 km more than they were biased how many kilometers are they travel by bike

Answers

Answer:

  215

Step-by-step explanation:

We assume that the "starting point" is the starting point for the entire trip, including bus travel.

If B is distance traveled by Bus, and "b" is distance traveled by bike, then we seem to have ...

  B + b = 350

  b -B = 80

Adding these two equations gives ...

  2b = 430

  b = 215

They traveled 215 km by bike.

Work out the value of 58 x 5-2 54 Total marks: 2

Answers

Answer:

2(29x5−127)

Step-by-step explanation:

Factor 58x5−254

58x5−254

=2(29x5−127)

Answer:

36

Step-by-step explanation:

going by BODMAS,

multiplication is first, 58 * 5 = 290

now, subtraction, 290 -254 = 36

please help me out here! I’ll give you brainliest if you give me the correct answer! :)

Answers

Answer:

0.31

0.36

A

Step-by-step explanation:

Answer:

0.31 and 0.36 (A) is the answer

Fencing is sold for $1.50 per foot at the garden store. Shawn needs 24 feet of fence for his new puppy's yard. How much will the fence cost?Immersive Reader

Answers

Answer:

$36

Step-by-step explanation:

1.5 × 24 = 36

Hope this helps!

-MoCKEry

Pls help will mark brainliest to first answer

Answers

Answer:

A. pi(6)^2* 8

Step-by-step explanation:

A geometric sequence follows________

A.an exponential pattern
B.a linear pattern
C.a quadratic pattern
D.no pattern

Answers

A- am exponential pattern
(please mark brainliest)

A geometric sequence follows an exponential pattern, where each term is found by multiplying the previous term by a constant called the common ratio. Therefore, the answer is A. An Exponential Pattern.

A geometric sequence follows an exponential pattern. This means that each term in the sequence is found by multiplying the previous term by a constant called the common ratio. For example, in the sequence 2, 6, 18, 54, the common ratio is 3. Here, each term is obtained by multiplying the previous term by 3.

To clarify, when we say a sequence follows an exponential pattern, it means the terms grow at a rate that involves doubling, tripling, or multiplying by any fixed number, rather than adding or subtracting a fixed amount as in linear patterns or changing according to a square as in quadratic patterns. This type of pattern can be represented by the formula:

a, ar, ar², ar³,...

where a is the first term and r is the common ratio. Understanding that geometric sequences follow an exponential growth pattern helps in solving various mathematical problems related to population growth, finance, and more.

On Monday, 218 students went on a trip to the zoo. All 5 buses were filled and 8 students
had to travel in cars. How many students were in each bus?

Answers

Answer:

Their were 42 kids on each bus.

Step-by-step explanation:

You have to divide the number of kids(210) by the number of buses.

Answer:

42

Step-by-step explanation:

if you take the total of kids and subtract the 8 that went into the cars the you do 210 divided by the total of buses and you get 42






The scatter plot shows a regression line of advertising dollars spent and sales. What amount has the greatest error term?

A) $5,650

B) $5,850

C) $6,000

D) $6,750

Answers

The answer is c 6750

Answer:

6750

Step-by-step explanation:

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