Tom bought a new mirror for his house. One side of the mirror is 38 inches and the other side is 30 inches. What is the length of the diagonal of the mirror? a. 68 inches b. 23 inches c. 34 inches d. 48 inches

Answers

Answer 1

Answer:

d. 48 inches

Step-by-step explanation:

We assume the mirror is a rectangle

We solve for the length of a diagonal using Pythagoras Theorem

a² + b² = c²

c = √a² + b²

Where c = diagonal

a = 30 inches

b = 38 inches

c = √30² + 38²

c = √2344

c = 48.414873748 inches

Approximately = 48 inches


Related Questions

pleas yall help me ill give a lot of points and brainiest

Answers

It’s the first one I believe.

Answer:

Third choice.

Step-by-step explanation:

The left side is "8 less than 4 times a number"

The right side is "2 times the difference of 2 times the number decreased by 3"

Answer: Third choice.

wild deer population weight has standard deviation of 50 lb. What is the probability of existence of a random sample (size 100) weight within + 5 lb. of population mean weight?

Answers

This question was not written properly

Complete Question

Wild deer population weight has standard deviation of 50 lb. What is the probability of existence of a random sample (size 100) weight within ± 5 lb. of population mean weight?

Answer:

0.68269

Step-by-step explanation:

We solve using z score formula

z = (x-μ)/σ/√n where

x is the raw score

μ is the population mean

σ is the population standard deviation.

From the question:

Standard deviation = 50 lb.

Sample size = 100

The weight is within ± 5Ib

For +5 lb

Z =+ 5/50/ √100

Z = +5/50/10

Z = +5/5

Z = 1

Using the Z table to find the probability of the Z score.

P(Z = 1) = 0.84134

For - 5 lb

Z = - 5/50/ √100

Z = - 5/50/10

Z = - 5/5

Z = -1

Using the Z table to find the probability of the Z score.

P(Z = -1 ) = 0.15866

Hence,

P (-Z<x<Z)

P(Z = +1 ) - P(Z = -1)

0.84134 - 0.15866

= 0.68269

The probability of existence of a random sample (size 100) weight within ± 5 lb. of population mean weight is 0.68269

Video game system and several games are sold for $664. The cost of the games is 3 times as much is a cost in system. Find the cost of the system the cost of the games.

Answers

Answer:

games=$483

system=$161

Step-by-step explanation:

Answer: the cost of the system is $166 and the cost of the games is $498.

Step-by-step explanation:

I don’t understand this at all pls help I will mark brainliest

Answers

Answer:

D

Step-by-step explanation:

-2/3 is -.666

-3/5 is -.60

1/2 is .5

and 5/8 is a little more than half since 4/8 is half. so -2/3, -3/5, 1/2, 5/8, or D

ions
How many solutions does this equation have?
1 solution
x + 3 + x + 3 = - (x + 4) + (3x - 2)
No solution
Infinite solutions
Explain your thinking

Answers

Answer:

I am not certain but I think it's no solution but how the number of X's their is and won't have it's value, it's by themselves

What is the equation you would set up to solve the following problem? DO NOT SOLVE THE EQUATION.
You bought a magazine for $5 and four erasers. You spent a total of $25. How much did each eraser cost?

Answers

4x + 5 = 25

x being the cost of each eraser

If a car travels 23 miles in 20 min what is the. car speed in miles per hour?​

Answers

Answer:

69 miles per hour

Step-by-step explanation:

car travels 23 miles in 20 min

So 20 min=20/60hour

=1/3. hour

Speed of the car=23÷1/3

=69 miles/hour

So the final answer is 69miles/hour

If a freight train travels at a speed of 20 miles per hour for 6 hours, how far will it travel? A 120 miles B 80 miles C 26 miles D 12 miles​

Answers

Answer: The answer is A

Step-by-step explanation: Because 6*20= 120

Determine if this data is an example
of a function.
(-2,5); (0, 3); (-2, 8); (1, 14)
Relation
Function

Answers

Answer:

Step-by-step explanation:

it is not a function because -2 has two y values

It takes a groundskeeper 35 minutes to prepare a Little League baseball field for a game. It takes his assistant 45 minutes to prepare the same field. How long will it take if they work together to prepare the field?

Answers

a) It takes a groundskeeper 45 minutes to prepare a softball field for a game. It takes his assistant 50 minutes to prepare the same field. How long will it take if they work together to prepare the field?

G does 1/45 job per minute

A does 1/50 job per minute

Together, they do 1/45 + 1/50 = 19/450 jobs/minute

--> 450/19 minutes to do the job

You can use a shortcut, product/sum

50*45/(50+45) = 2250/95

= 450/19

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

b) It takes the owner/operator of a dog kennel 7 hours to clean all of the cages. It takes his assistant 4 hour(s) more than that to clean the same cages. How long will it take if they work together?

This is 7 and 11 hours.

7*11/(7+11) = 77/18 hours

= ~ 4.28 hours

An article on polygraph testing of FBI agents indicated that the probability of a false-positive (a trustworthy person who nonetheless fails the test) is 0.25. Let x be the number of trustworthy FBI agents tested until someone fails the test. (Round your answers to four decimal places.)(a) Describe the probability distribution of x.
normalgeometric binomial(b) What is the probability that the first false-positive will occur when the third person is tested?(c) What is the probability that fewer than four are tested before the first false-positive occurs?(d) What is the probability that more than three agents are tested before the first false-positive occurs?

Answers

Answer:

???

Step-by-step explanation:

Suppose a team is to be formed consisting of a head chef, sous chef, and dishwasher, in that order. What is the probability of forming such a team with 6 people?

Answers

Answer:

0.0083

Step-by-step explanation:

From the given information;

The total number of individual in the team = 3

The number of ways the team, which comprises of head chef, sous chef, and dishwasher can be arranged = [tex]^{6}P_3[/tex]

= (6×5×4×3!)/3!

= 6×5×4

= 120 ways

The probability of forming such a team with 6 people = 1/120

= 0.0083

the ratio 60 miles per hour is an example of a ______because it has two measurements having different units of measure
Answers:

1.Annex
2.Rate
3.Unit rate
4.Least common multiple

Answers

Answer:

3. Unit Rate

Step-by-step explanation:

The answer is Unit Rate because it is describing two units of measurements compared to one another.

What is a3 of the sequence 13, 18, 23, 28, 33, 38...

Answers

Answer:

23

Step-by-step explanation:

cuz it starts with 13 as a1

what is 71 3/7% equal to in simplest form?

Answers

23 2/3 simplest form

Answer:

23 2/3 i think sorry for the other my sponese  my sister came and typed the response

Triangle ABC IS an isosceles triangle AB=BC m

Answers

Answer:

The measure of angle A is 73°

Step-by-step explanation:

Isosceles Triangles

An isosceles triangle is a triangle with exactly two congruent sides. The angles the congruent sides form with the third side are also equal.

The triangle ABC is isosceles and AB congruent with BC. The angle at B measures 34°.

The other two angles are congruent, i.e. their measures are the same. Since the internal angles of a triangle sum 180°:

[tex]2*m\angle A=180^\circ - 34^\circ =146^\circ[/tex]

Thus:

[tex]m\angle A=146^\circ /2=73^\circ[/tex]

The measure of angle A is 73°

Which of the following values are solutions to the inequality 5 < 7+ 5x?

Answers

Answer:

x can equal to anything that is 1 and higher

Step-by-step explanation:

The equation is already correct, you just want to get x as a number that would increase the value.

Hola me pueden explicar por favor el punto 1 es para hoy muchas gracias

Answers

Answer:

las soluciones estan abajo. En algunos incisos se debe suponer que el numero en cuestion es entero. De lo contrario no es posible hablar del siguiente o del anterior al numero.

Step-by-step explanation:

Sea x un numero, entonces

1)2x

2)5x

3)x-1 (aqui x es un numero entero)

4)[tex]\frac{x}{2}[/tex]

5)[tex]\frac{x}{10}[/tex]

6)x+1 (aqui x es un numero entero

7) x(x+1) (aqui x es un numero entero

8) x(x+1)(x+2) (aqui x es un numero entero

Which equation correctly shows the relationship between the numbers 6,560 and 656?

Answers

Answer:

656×1000

Step-by-step explanation:

Help please this is urgent☹️

Answers

All of the are correct

ian's car can go 99 miles on 3 gallons of gas During a drive last​ weekend,Ian used 7 gallons of gas.How far did he drive?Use pencil and paper. Explain how the problem changes if you were given the distance Ian drove last weekend instead of how much gas He used. He drove____ miles.

Answers

Answer:

The answer would be 231 miles.

Step-by-step explanation:

This is because you have to make this into the most common ratio, which would be 1/33. To get to 7 gallons, you must multiply 33 by 7, because you multiplied 1 by 7.

He drove 231 miles I think

Find the equation of the tangent line to y=sinx at x=2pie

Answers

Answer:

y = x - 2π

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Algebra I

Point-Slope Form: y - y₁ = m(x - x₁)  

x₁ - x coordinate y₁ - y coordinate m - slope

Pre-Calculus

Unit Circle

Calculus

The definition of a derivative is the slope of the tangent line.

Derivatives of Trig Functions

sin(x) = cos(x)cos(x) = -sin(x)tan(x) = sec²(x)sec(x) = sec(x)tan(x)csc(x) = -csc(x)cot(x)cot(x) = -csc²(x)

Step-by-step explanation:

Step 1: Define

y = sinx

x = 2π

Step 2: Find Derivative

Take derivative:                   y' = cosx

This is the function of the tangent line for y.

Step 3: Find slope

Substitute in x into y':                    y'(2π) = cos2πEvaluate:                                        y'(2π) = 1

This tells us that the slope of the tangent line is 1 at x = 2π.

Step 4: Write equation

Find a point.

Substitute x into y:                     y(2π) = sin2πEvaluate:                                    y(2π) = 0Write coordinate:                      (2π, 0)

Write tangent function.

Substitute:                    y - 0 = 1(x - 2π)Simplify:                        y = x - 2π

This is the equation of the tangent line at x = 2π.

what is 2/5 of 1 7/8

Answers

Answer:

0.75

Step-by-step explanation:

I think

Answer:

0.75 or something like that

Step-by-step explanation:

The store bought the bike at a wholesale price. The bike store marked up the wholesale cost of the bike by 60%. What was the wholesale cost of the bike if the store sold the bike to Andre for $160?

Answers

Answer: The wholesale cost of the bike = $100

Step-by-step explanation:

Let x = wholesale cost of the bike

As per given,

Selling price = cost price + (Mark up percent) x ( cost price)  (i)

Selling price of bike = $160

Mark up percent = 60% =0.60

Substitute values in (i) , we get

[tex]160= x+0.6x\\\\\Rightarrow\ 160=1.6x\\\\\Rightarrow\ x=\dfrac{160}{1.6}\\\\\Rightarrow\ x= 100[/tex]

Hence, the wholesale cost of the bike = $100

Is the sum of any 2 consecutive prime numbers also prime?

Answers

Answer:

Yes! (it’s making me write 20 letters so yes is ur answer ok cool)

Yes beachside I really don’t know you it juts is

plz help me
is 7/3 less than 6 ​

Answers

Answer:

yes

Step-by-step explanation:

I figured this out by determining how many times 3 fits into 7.

7/3 is equal to 2 and 1/3

2 1/3 < 6

Hope this helps <3

please give brainliest

Imena earned $261 last week. If she worked 18 hours and earned the same amount each hour, how much was she paid per hour?

Answers

The answer to your question is $14.50 a hour

The amount paid to Imena per hour will be $14.5

What is an expression?

The mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.

Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.

Given that Imena earned $261 last week. She worked 18 hours and earned the same amount each hour.

Imena's earnings for an hour will be calculated as:-

Earning per hour = 261 / 18

Earning per hour = $14.5

Therefore, the amount paid to Imena per hour will be $14.5

To know more about an expression follow

https://brainly.com/question/24392720

#SPJ5

What is the Greatest Common Factor of 16 and 18
06
8
O 4
02

Answers

Answer:

2

Step-by-step explanation:

2 is the hfc or gfc (depending on if you say highest or greatest) becausee it is the largest factor in both numbers

Point E is located at (-5,2). Point M is the reflection of point E across the y-axis. What is the distance between E and M?

Answers

Answer:

The distance is Ten

Tell whether the lines through the given points are parallel, perpendicular, or neither.
Line 1: (10,5), (-8,9)
Line 2: (2, - 4), (11, -6)
The slope of line 1 is...
The slope of line 2 is...
These 2 lines are...

Answers

Answer:

The Slope of Line 1 is ->  [tex]-\frac{2}{9}[/tex]

The Slope of Line 2 is -> [tex]-\frac{9}{2}[/tex]

These two lines are - >  Perpendicular

Step-by-step explanation:

To find the slope of line one, you follow these steps:

First Coordinate 10 -> x1, 5 -> y1

Second Coordinate -8 -> x2, 9 -> y2

Then insert the assigned values into this equation:  [tex]\frac{y2-y1}{x2-x1}[/tex] -> [tex]\frac{9-5}{-8-10}[/tex] which equals [tex]\frac{4}{-18}[/tex] which simplifies to [tex]-\frac{2}{9}[/tex]

Then do the same process to find the slop of line 2:

First Coord: 2 -> x1, -4 -> y1

Second Coord: 11 -> x2, -6 -> y2

Then insert the values into this equation: [tex]\frac{y2-y1}{x2-x1}[/tex]  ->[tex]\frac{11-2}{-6-(-4)}[/tex] which equals [tex]\frac{9}{-2}[/tex].

We know the lines are perpendicular by:

a. Typing the equations of the lines into a graphing calculator and observing the graph

b. Looking at the slopes. By looking at the slopes, we see that the slope of line 1 is the reciprocal of line 2, and vice versa. Since reciprocal slopes indicate perpendicular lines, the lines 1 and 2 are perpendicular to each other.

Hope this helps!

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