1. The width of a rectangle is 4 feet, and the diagonal length of the rectangle is 13 feet.
Which measurement is closest to the length of this rectangle in feet?

A)9ft

B)17ft

C)12.4ft

D)13.6ft

Answers

Answer 1

Answer:

12.4 ft  

Step-by-step explanation:

Use the Pythagorean Theorem to find the length of the diagonal of the rectangle:

(4 ft)² + x² = (13 ft)², or 16 + x² = 169 ft²

Then x² = (169 - 16) ft², and x = +√(153 ft²) = 12.4 ft

(This matches Answer C)


Related Questions

Mrs. Williamson had 18 students in her homeroom at the beginning of the school year and 24 students at the end of the year. What was the approximate percent increase in the number of students in Mrs. Williamson’s homeroom?

25%
33%
57%
75%

Answers

Answer:

25%

Step-by-step explanation:

An easy way to figure this out is just by dividing the initial amount of students (18) by the current amount of students (24), and then subtracting 1.

So, 18/24 = 0.75 (aka 75%), and  1 - 0.75 = 0.25 (aka 25%)

Can we make a triangle out of one angle that measure 20 degrees and another that measures 45 degrees

Answers

Answer:

Yes. If the third angle is equal to 115 degrees.

Step-by-step explanation:

The sum of all the angles in a triangle must equal 180 degrees.

If the two angles are 20 degrees and 45 degrees the third angle must be

180-45-20= 115 degrees

A triangle having three different angles is called a scalene triangle.

A scalene triangle also has three different sides.

But if the third angle is less or greater than 115 degrees the triangle cannot be formed.

This is the called the sum property of triangle.

There is another property which must also be satisfied i.e  the sum of any 2 sides must be greater than the third side.

i need help no links

Answers

Answer:

Hello!

Angle z = 137

Hope this helps.

Answer:

z = 90

Step-by-step explanation:

simple really this also might come in handy later.

Can someone please help me on this homework ASAP!!

Answers

Answer:

Step-by-step explanation:

Multiply each term of (x² + 2x - 1) by x  and multiply each term of            (x² + 2x - 1) by 3

Area of parallelogram = bh

  = (x² + 2x - 1)(x + 3)

  = (x² + 2x - 1)*x + (x² + 2x - 1)*3

 =x²*x + 2x*x  - 1*x + x²*3 +2x*3 - 1*3

 = x³ + 2x² - x + 3x² + 6x - 3

 = x³ + 2x² + 3x²   -x + 6x - 3

 = x³ + 5x² + 5x - 3

Pleasee help thanks!​

Answers

Answer:

I believe your answer is A.

Step-by-step explanation:

2x2x2

2x2=4

4x2=8

Therefore, x=2.

Answer: c

Step-by-step explanation:

Math help help please

Answers

Answer is 5,004,300

Answer:

5,000,000+4,000+300=5,004,300

Step-by-step explanation:

hope this helps

In a popular online role playing game, players can create detailed designs for their character's "costumes," or appearance. Olivia sets up a website where players can buy and sell these costumes online. Information about the number of people who visited the website and the number of costumes purchased in a single day is listed below. 144 visitors purchased no costume. 182 visitors purchased exactly one costume. 9 visitors purchased more than one costume. Based on these results, express the probability that the next person will purchase no more than one costume as a decimal to the nearest hundredth.

Answers

Answer:

There is a 54.328% probability that the next person will purchase no more than one costume.

Step-by-step explanation:

Since in a popular online role playing game, players can create detailed designs for their character's "costumes," or appearance, and Olivia sets up a website where players can buy and sell these costumes online, and information about the number of people who visited. the website and the number of costumes purchased in a single day states that 144 visitors purchased no costume, 182 visitors purchased exactly one costume, and 9 visitors purchased more than one costume, to determine, based on these results, the probability that the next person will purchase no more than one costume as a decimal to the nearest hundredth, the following calculation must be performed:

144 + 182 + 9 = 335

335 = 100

182 = X

182 x 100/335 = X

18,200 / 335 = X

54,328 = X

Therefore, there is a 54.328% probability that the next person will purchase no more than one costume.

Without properly working spark plugs, a vehicle will not run. For a specific vehicle, the spark plugs are supposed to have a gap between 3.9mm and 4.3mm. Any spark plugs with gaps larger or smaller than this will fail inspection and be discarded. At the factory, the machine that sets the gap follows a normal distribution with a mean of 4.1mm and standard deviation of 0.075mm. What is the probability that a randomly selected spark plug passes inspection

Answers

Answer:

The probability that the spark plugs are supposed to have a gap between 3.9mm and 4.3mm.

P(3.9≤X≤4.3)  = 0.9922

Step-by-step explanation:

Step(i):-

Given that the mean of the Normal distribution = 4.1mm

Given that the standard deviation of the Normal distribution = 0.0075mm

Let 'X' be the random variable in a normal distribution

Given that X₁ = 3.9mm

[tex]Z_{1} = \frac{X_{1} -mean}{S.D}[/tex]

[tex]Z_{1} = \frac{3.9 -4.1}{0.075} = -2.666[/tex]

Given that X₂ = 4.3mm

[tex]Z_{2} = \frac{X_{2} -mean}{S.D}[/tex]

[tex]Z_{1} = \frac{4.3 -4.1}{0.075} = 2.666[/tex]

Step(ii):-

The probability that the spark plugs are supposed to have a gap between 3.9mm and 4.3mm.

P(3.9≤X≤4.3) = P(-2.666≤Z≤2.666)

                     = P(Z≤2.666)-P(Z≤-2.666)

                    = 0.5 +A(2.666) - (0.5-A(2.666)

                   = 2 × A(2.666)

                 = 2×0.4961

                 = 0.9922

Final answer:-

The probability that the spark plugs are supposed to have a gap between 3.9mm and 4.3mm.

P(3.9≤X≤4.3)  = 0.9922

To wash a window that is 12 feet off the ground, Mason leans a 20-foot ladder against the side of the building. To reach the window, how far away from the building should Mason place the base of the ladder?

Answers

Answer:

by clumbing the ladder

Step-by-step explanation:

The base of the ladder should be placed so that it is one foot away from the building for every four feet of hight to where the ladder rests against the building. This is known as the 4 to 1 rule.

** 20 points ! find the surface area, in square inches :)

Answers

Answer:

 

Surface area

103.109in²

Step-by-step explanation:

Hope this helps! I would appreciate if you make me brainliest!

105.8^2 is what I got

a. 1/4
b. 1/2
c. 1/5
d. 1/3

Answers

Answer:

1/3

Step-by-step explanation:

The distance from -6 to -3 is 3. The distance from -2 to -1 is 1.

3/3 => 1

1/3 difference

Answer:

Step-by-step explanation:

Which two quadrilaterals are reflections of each other across the y-axis?

Answers

Answer:

Step-by-step explanation:

When you reflect a point across the y-axis, the y-coordinate remains the same, but the x-coordinate is taken to be the additive inverse. The reflection of point (x, y) across the y-axis is (-x, y).

Hope this helped.

WHAT IS THE HEIGHT OF THE TREE ROUNDED TO THE NEAREST TENTHS PLACE

Answers

Answer:

Where is the number i need to round to?

(Please don't give me a bad rating i'm trying to help :) )

if in a triangle ac= 15 and angle abc=60 degrees what is ab?

Answers

Answer:

∠A=30° and AC and BC is 13 and 7.5 units respectively

Step-by-step explanation:

Given that in a right triangle ABC , right angled at C , if angle B =60 degree and AB =15 units

we have to find the remaining angles.

By angle sum property,  sum of angles in right angle is 180°

∠A+∠B+∠C=180°

∠A+ 60°+90°=180

∠A=180°-150°=30°

∠A=30°

As AB= 15

Now by trigonometric ratios we find the other sides of triangle ABC

Hence, ∠A=30° and AC and BC is 13 and 7.5 unitsStep-by-step explanation:

∠A=30° and AC and BC is 13 and 7.5 units respectively

Step-by-step explanation:

Given that in a right triangle ABC , right angled at C , if angle B =60 degree and AB =15 units

we have to find the remaining angles.

By angle sum property,  sum of angles in right angle is 180°

∠A+∠B+∠C=180°

∠A+ 60°+90°=180

∠A=180°-150°=30°

∠A=30°

As AB= 15

Now by trigonometric ratios we find the other sides of triangle ABC

Hence, ∠A=30° and AC and BC is 13 and 7.5 units


A pet store advertises
a 30% off sale or dog crates.
What is the regular price of a
large crate that costs $85.50
on sale?

Answers

Answer:

the answer is 1.99 I think im not sure I guessed

Step-by-step explanation:

Given the functions f(x) = x^5 and g(x) = 8.2^x, which of the following
statements is true?

A: f(2)>g(2)
B: f(2) C: f(2)=g(2)

Answers

i’m guessing the answer is C

Which statement BEST describes how the pipe player in Passage 1 influenced Caesar's crossing of the Rubicon?
A ) The pipe player's song distracted the opposition, which allowed Caesar to mount a suprise attack.
B ) The pipe player had a striking appearance that Caesar admired.
C ) The pipe player convinced other soldiers to join Caesar in his fight.
D ) The pipe player's song brought nearby trumpeters to the area, which inspired Caesar to sound the advance.

Answers

Answer:a or d

Step-by-step explanation:

Help me plz ………………?…;

Answers

Answer:

9.04ft

Step-by-step explanation:

This will help you

hey can you help me fast!!

Answers

850

Step-by-step explanation:

First, find the length of CD correct to 2 decimal places.

Answers

Answer:

3.2CD

Step-by-step explanation:

Hi i'm in the 5th grade almost 6th I struggle a lot with math and i have a lot of anxiety so sometimes i get stressed and i just needed a little help with my exam so here is a question i need help with .
Question/ 34 Divide by 26

Answers

Answer:

1.31

Step-by-step explanation:

I used a calculator and just rounded this number 1.30769230769

if the number is five or higher then you would round the number next to the 7. So 7 rounded 0 is 1.31. Sorry i tried to explain it in the best way possible!

0
1
N
3 4 5 6 7
8 9 10
Number of Snacks
What is the median of the data values?

Answers

Answer: it would be 5

Step-by-step explanation:

0,1,2,3,4,5,6,7,8,9,10 the middle #is 5

I need help with this one too!

Answers

Answer:

rectangle and quadrilateral

Step-by-step explanation:

A person is standing 215 feet above the ocean
watching a ship come in. Initially the angle of elevation
from the boat to the person is 31 degrees. After
traveling towards the person for a few minutes, then
angle is 48 degrees. How far did the boat travel
between the two points? Round to the nearest foot.

Answers

Answer:

Step-by-step explanation: I don’t know I just want my extra points

Answer: 164 ft

Step-by-step explanation:

tan 48=215/x

-> x.tan48=215

->x =215/tan 48

->x = 193.6

tan 31=215/y

-> y.tan31 = 215

-> y= 215/ tan 31

-> y= 357.82

BC= y-x

= 357.82-193.6

= 164.22 = 164 ft

I need this please.Give the right answer.It’s a huge grade that I NEED!

Answers

Answer:

Line 2 will be the best fit for the data

Step-by-step explanation:

hope it helps...

have a great day!!

Line 4

People lose height because the discs between the vertebrae in the spine dehydrate and compress. The aging spine can also become more curved, and vertebrae can collapse (compression fracture) due to loss of bone density (osteoporosis). Loss of muscle in the torso can also contribute to stooped posture.

Joan is planning a party. She wanted to serve nachos as an appetizer dish for her guests. Joan went to Costco and found a huge can of pre-made nacho cheese. When she got home, she wondered, "how much cheese is in this giant can?" So, she grabbed a ruler, measured the can, and concluded that it is 12-inches tall with a diameter of 6-inches. Continue Joan's calculation and find the amount of space inside that nacho cheese can.

Answers

Answer:

339.29

Step-by-step explanation:

V=πr²h

2(1/5m-2/5)+3/5 Combine like terms to create and equivalent expression, please help :).

Answers

Answer:

Step-by-step explanation:

First, carry out the indicated multiplication.  We get:

2m/5 - 4/5 + 3/5, which condenses to

                        2m - 1

2m/5- 1/5 or ---------------

                              5

Solve: Four more than a number is more than 13
Inequality :
Solution :

Answers

Answer:

x + 4 > 13

x > 9

Step-by-step explanation:

In this equation, the value of the "number" is unknown, so I used a variable (x) to represent the unknown value.

FOUR more than x would mean addition.

x + 4.

According to this word problem, four more than x is larger than thirteen, so a greater than symbol was used.

Like this,

x + 4 > 13.

We can find the solution to 'x' by subtracting 4 from 13.

Like this,

13 - 4 = 9

Therefore, the solution is x > 9

And, the inequality is x + 4 > 13.

help! i need an equation for this

Answers

Answer:

y = -2/3x + 8

Step-by-step explanation:

Format: y = mx + b

m = slope (rise over run) - 2/3 The graph is negative so the slope is also negative.

b = y - intercept (8)

5.4.PS-12
Trains Two trains, Train A and Train B, weigh a total of 260 tons. Train A is heavier than Train B.
The difference of their weights is 212 tons. What is the weight of each train?
Train A weighs tons

Answers

The answer is c
I took the test

Answer:

the answer is c

Step-by-step explanation:

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