The second side of a triangular deck is 4 feet longer than the shortest​ side, and the third side is 4 feet shorter than twice the length of the shortest side. If the perimeter of the deck is 52 ​feet, what are the lengths of the three​ sides?

Answers

Answer 1

Answer:

13 ft, 17 ft, 22 ft

Step-by-step explanation:

let x be the shortest side, then second side is x + 4 and the third side is

2x - 4

sum the 3 sides and equate to 52

x + x + 4 + 2x - 4 = 52 , simplify

4x = 52 ( divide both sides by 4 )

x = 13

x + 4 = 13 + 4 = 17

2x - 4 = 2(13) - 4 = 26 - 4 = 22

lengths of 3 sides are 13 ft, 17 ft and 22 ft


Related Questions

what decimal represents the fraction 1/4

Answers

Answer:

0.25

Step-by-step explanation:

1/4 is equal to 1.00 split into 4 equal parts. 0.25*4 = 1.00 , meaning that each 1/4 is equal to 0.25

Answer:

0.25.

Step-by-step explanation:

We divide 1 by 4:

4)  1. 00

    0.25

Choose the symbol that correctly compares these mixed numbers.

Answers

Answer:

It is 7 2/11 is less then 7 4/10

Step-by-step explanation:

You do not have to worry about the whole number because they are the same. You have to compare the fractions, so if comparing fractions 10 is less then 11 so 1/10 has a larger space then 1/11. That is how i got the answer. Hope this helps. Am I right?

Answer:

[tex]\huge\purple{\overline{\quad\quad\quad\quad\quad\quad\quad\quad\quad \ \ \ }}[/tex]

[tex]7 \frac{2}{11} < 7 \frac{4}{10} [/tex]

Answer: B

A statistics teacher has a large container of beads that she says contains 60% blue beads. A student randomly selects
50 beads. Let p = the true proportion of blue beads in the container. If the true proportion of blue beads is 0.60, which
value of ô is least likely to occur?
O 0.50
0.60
O 0.70
0.80

Answers

Answer:

0.80

Step-by-step explanation:

its the farthest away from 0.60

SOMEBODY PLZ HELP NO LINKS PLZ AN THANK YOU
The scatter plot shows the number of minutes people had to wait for service at a restaurant and the number of staff available at he time. A line that models the data is given by the equation y=-1.62x + 18 where y represents the wait time and x represents the number of staff available. Use the equation to make a conjecture about the wait if there are 10 staff members available


A the wait time will be about 18 minutes

B the wait time will be about 5 minutes

C the wait time will be about - 2 minutes

D the wait time will be about 2 minutes

Answers

Answer:

D. The wait time will be about 2 mins.

Step-by-step explanation:

You have to substitute the x into the equation as we know it is 10.

So, y = (-1.62 × 10) + 18.

Thus, y = -16.2 + 18.

Then, y would equal 1.8.

Therefore you would round to the nearest minute which would be 2.

Hope this helps :)

Find the slope
(3,5) and (6,9)

Answers

Answer:

4/3 or 1 1/3

Step-by-step explanation:

To find slope, we subtract the y-values (9 - 5), then divide the difference we find from that by the difference of the x-values (6 - 3). So, let's go ahead and do that now. First, what's 9 - 5? Well, the answer is 4. Next, we have to divide this value by 6 - 3, which is equivalent to 3. Then, we divide the two numbers - what is 4 ÷ 3? Well, we can represent this as 4/3, or 1 1/3. Hopefully that's helpful - if you have any questions on that, let me know! :)

Answer:

Slope is 4/3

Step-by-step explanation:

Slope or gradient can be found by using several formulas. For this situation, we can use rate of changes between two points also known as rise over run or changes in y over change so in x.

The formula of slope between two points can be expressed as several equations, expressions, etc such as:

[tex]\displaystyle \large{m=\frac{dy}{dx}=\frac{y_2-y_1}{x_2-x_1} =\frac{\Delta y}{\Delta x}[/tex] where m is a variable representing the slope.

Since we are given two points, we are going to use the y2-y1 over x2-x1 formula.

Let (3,5) be (x1,y1,) and (6,9) be (x2,y2) thus the slope is [tex]\displaystyle \large{m=\frac{y_2-y_1}{x_2-x_1} =\frac{9-5}{6-3} =\frac{4}{3}[/tex]

Therefore the slope of two points is 4/3.

__________________

Let me know in comment if you have any questions.

Help help math math

Answers

Answer:

There are 24 different combinations.

Step-by-step explanation:

2x4x3= 24

Which value of x is a solution of the equation 4(x + 3) - 10 =6 (x -2)

Answers

[tex]\huge\text{Hey there!}[/tex]

[tex]\large\textsf{4(x + 3) - 10 = 6(x -2)}\\\large\textsf{4(x) + 4(3) - 10 = 6(x) + 6(-2)}\\\large\textsf{4x + 12 - 10 = 6x - 12}\\\large\textsf{4x + 2 = 6x - 12}\\\large\text{SUBTRACT 6x to BOTH SIDES}\\\large\textsf{4x + 2 - 6x = 6x - 12 - 6x}\\\large\text{SIMPLIFY IT!}\\\large\text{NEW EQUATION: \textsf{-2x + 2 = -12}}\\\large\text{SUBTRACT 2 to BOTH SIDES}\\\large\textsf{-2x + 2 - 2 = 6x - 12 - 6x}\\\large\text{SIMPLIFY IT!}\\\large\textsf{-2x = -14}\\\large\text{DIVIDE -2 to BOTH SIDES}[/tex]

[tex]\mathsf{\dfrac{-2x}{-2}= \dfrac{-14}{-2}}\\\large\text{CANCEL out: }\rm{\dfrac{-2}{-2}}\large\text{ because it gives you 1}\\\large\text{KEEP: }\rm{\dfrac{-14}{-2}}\large\text{ because it helps solve for the x-value}\\\large\text{NEW EQUATION: }\mathsf{x = \dfrac{-14}{-2}}\\\large\text{SIMPLIFY IT!}\\\large\textsf{x = 7}\\\\\\\huge\boxed{\text{Therefore, your answer is: \boxed{\textsf{x = 7}}}}\huge\checkmark[/tex]

[tex]\huge\text{Good luck on your assignment \& enjoy your day!}[/tex]

~[tex]\frak{Amphitrite1040:)}[/tex]

WRITE THE FUNCTION RULE FOR F(X)=-6;X-AXIS

Answers

Answer:

-6 is Y

Step-by-step explanation:

When ever the number is outside of the f(x) it is = y.

HELP BRAINLY PPLS!!! Identify the transformation that was applied to this boomerang.

A.Translation

B.Rotation about the origin

C.Reflection over the x-axis

D.Reflection over the y-axis

Answers

Answer:

B should be the answer because it did rotate and the origin is in the middle 0,0 which it look like to me it is on.

Help help help help math math

Answers

Answer:

x = 35

Step-by-step explanation:

First, set both equations equal to each other because it is the same angle (congruent)

6x - 20 = 4x + 50

-4x and +20 to both sides of the equation and you end up with:

2x = 70

divide both sides by 2 and:

x = 35

Two positive numbers are in the ratio 2 : 3. Find the numbers if ​(a) their sum is 55 and ​(b) their product is 384.

Answers

say the numbers are "a" and "b", we know that they're in the ratio of 2:3, or namely that

[tex]\stackrel{\textit{in the ratio of 2 to 3}}{a~:~b\qquad \qquad 2:3}\qquad \qquad \implies \qquad \cfrac{a}{b}=\cfrac{2}{3}\implies \cfrac{3a}{2}=b \\\\[-0.35em] ~\dotfill\\\\ \stackrel{\textit{their sum is 55}}{a + b = 55}\implies a + \cfrac{3a}{2}=55\implies \stackrel{\textit{multiplying both sides by }\stackrel{LCD}{2}}{2\left( a + \cfrac{3a}{2} \right)=2(55)} \\\\\\ 2a+3a=110\implies 5a=110\implies a = \cfrac{110}{2}\implies \boxed{a = 22}[/tex]

[tex]\stackrel{\textit{we know that}}{\cfrac{3a}{2}=b}\implies \cfrac{3(22)}{2}=b\implies \boxed{33=b} \\\\[-0.35em] ~\dotfill\\\\ \stackrel{\textit{their product is 384}}{ab=384}\implies a\left( \cfrac{3a}{2} \right)=384\implies \cfrac{3a^2}{2}=384\implies 3a^2=768 \\\\\\ a^2=\cfrac{768}{3}\implies a^2=256\implies a=\sqrt{256}\implies \boxed{a=16} \\\\\\ \stackrel{\textit{we know that}}{\cfrac{3a}{2}=b}\implies \cfrac{3(16)}{2}=b\implies \boxed{24=b}[/tex]

The positive numbers for both the parts are obtained as 22,33 and 16,24 respectively.

How to write a linear equation?

A linear equation for the given case can be written by assuming any variable as the unknown quantity. Then, as per the given data the required operations are done and it is equated to some value.

(a) As per the question, the numbers can be considered as 2x and 3x respectively.

Then, the equation for their sum can be written as follows,

3x + 2x = 55

⇒ 5x = 55

⇒ x = 11

The numbers are obtained as 2 × 11 = 22 and 3 × 11 = 33.

(b) Similarly, the equation for the product of numbers can be written as,

3x × 2x = 384

⇒ 6x² = 384

⇒ x² = 64

⇒ x = 8

The numbers are obtained as 2× 8 = 16 and 3 × 8 = 24.

The required number for both the cases are 22,33 and 16,24 respectively.

To know more about linear equation click on,

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LAST ATTEMPT IM MARKING AS BRAINLIEST!! (Graph the image of the figure using the dilation given)

Answers

Answer:

Try this on for size

Step-by-step explanation:

100 POINTS
Please HELP I THINK ITS THE ANSWER I CLICKED THAT HAS A BLUE CIRCLE BUT I dont know

Answers

You’re correct!
a is equal to three less than twice b

Hope this helps!
Brainliest and a like is much appreciated!

Answer:

Option D

Step-by-step explanation:

Twice b means b is multiplied by 2 or 2b3 less than twice b means it's subtracted or 2b-3.

The expression is a=2b-3

The cost of 5 story books is Rs 800. How many books can be bought for Rs 1,440?​

Answers

Answer:

cost of 5 story book=800

cost of 1 story book=800/5

=160

how many. book can be bought on rs.1400

=1400/160

=8.75

Step-by-step explanation:

=

Find the missing number so that the equation has infinitely many solutions.
4(4x - 14) - 14x +
-2(-x + 19)

Answers

Answer:

  18

Step-by-step explanation:

Maybe you want to fill in the blank so this is true for all x:

  4(4x -14) -14x + ___ = -2(-x +19)

Simplifying, we get ...

  16x -14x -56 + ___ = 2x -38

Adding 56-2x to both sides leaves ...

  ___ = 18

The missing number is 18.

Help help help math math

Answers

1/8= 0.125
Rounded to the thousandth place- 0.13

Katie has $150 in her savings account.
She wants to buy a new iPad that
costs $375. How many weeks will it
take her to have enough to buy the
iPad if she saves $25 each week?

Answers

Answer:

9

Step-by-step explanation:

375 - 150 = 225

225 / 25 = 9

Answer:

I believe the answer would be 9 weeks

Which of the following is equal to 7 1/4?

Answers

Answer:

C

Step-by-step explanation:

[tex]7^{\tfrac 14} = \sqrt[4]{7}[/tex]

Helppppopleaseee????

Answers

Answer:

LQ = 5

Median = 6

Step-by-step explanation:

[tex]\frac{n+1}{2}[/tex] gives us 5.5, so we do the average of position 5 and 6. This gives us 6, so the median is 6.

Now we find the median of the bottom half of the numbers, which is 5, so the LQ is 5.

Now we find the median of the upper half of the numbers, which is 7, so the UQ is 7.

this drawing shows an isosceles triangle work out the size of angle a plz help as soon as possible thks




Answers

Answer:

70°

Step-by-step explanation:

Size of angle a = (180°-40°) ÷ 2 (angle sum of triangle; base angles of isos triangle)

                         = 140° ÷ 2

                         = 70°

Answer:

a + 40° = 180°

a t40°-40° =180°- 40°

a = 140°

Step-by-step explanation:

isosceles add up to 180°

Please answer.
No scammers and links

Answers

all triangles are similar but B and D may be the answer

pls help quick
plssss
plssssss

Answers

The second year would be 16.
The third year would be 20.

lim
x→0

5x2 + 2x/sin(x) ?????

Answers

Answer:

114.59155

Step-by-step explanation:

Answer:

Sorry i didn't know that

Anyone know how to work this problem? I need to find the domain and range

Answers

Answer:

Step-by-step explanation:

Domain : [-9,-3]

Range: [2,6]

Answer:

um I think it's the range is 30

А There are 84 boys and 72 girls in the sixth grade. Jerod says that the ratio of girls to boys is 6:7. Is he correct? Why or why not? 23 Maneuvering the Middle LLC. 2015​

Answers

Answer:

He is correct

Step-by-step explanation:

72 girls and 84 boys

Divide both numbers by 12

6 : 7

He is correct

Jerod says that the ratio of girls to boys is 6:7 is correct.

What is Ratio?

A ratio is an ordered pair of numbers a and b, written a / b where b does not equal 0.

Given that in the sixth grade there are 84 boys and 72 girls

Jerod says that the ratio of girls to boys is 6:7

We need to check whether Jerod statement is correct or incorrect

Now the number of boys=84

The number of girls=72

Now divide the number of girls by number of boys

72/84

6/7

So Jerod statement is true

Hence, Jerod says that the ratio of girls to boys is 6:7 is correct.

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Find the slope of
(7,-12) (1,3)
it's not -2/5 or 2/5 or 15/6
literally, if you solve this for me my depression will be no more
its been 3 days OF THIS ONE QUESTION
please, and thank you

Answers

Answer:

(8,-9)

Step-by-step explanation:

using the principle of vectors, you match each number to their coordinates and add them

so we have (7+1,-12+3)

which is equal to (8,-9)

Answer:

5/2

Step-by-step explanation:

Formula: y2-y1/x2-x1

Labeled:

(1,3)

1 = x2

3 = y2

(7,-12)

7= x1

-12 = x1

In order:

3+12 / 1-7

=15/6

which is simplified to 5/2

so when trying to find the slope of two points you want to use a certent formula which is y2 minus y1 over x2 minus x1 and if the x1 or y1 is negative it will be plus.

first you need to label them and then put them in the order you labeled them to the formula. After subtract or add and if you can simplify it then simplified it to get your answer.

this is the best way I can explain it, sorry

:(

Mario and Luigi are in a race in their new cars. Luigi has a 1000 foot head start and he travels at a speed of 4000 feet per minute Mario travels at a speed of 4200 feet per minute.
Write an equation to represent how far Luigi has traveled at any given number of minutes.

Write an equation to represent how far Mario has traveled at any given number of minutes.

If the race ends at 3 minutes, who wins?
How long in minutes would it take for Mario and Luigi to tie the race.

Answers

Answer:

mario lost the race and luigi won

Step-by-step explanation:

⦁ Simplify: –3|–2| + 4|–5|
show work

Answers

Answer:

-3|-2|+4|-5|=14

Step-by-step explanation:

3| -2 =6

4| -5| =20

= -6+20

Simplify -

14

Thank You! I hope I could make your day just a little bit better!

Which of the following equations describes the graph shown above

Answers

Answer: D

Step-by-step explanation:

this is in y=Mx+ b form. M stands for the slope and b stands for the y intercept, or where the line intersects with the y-axis.

Going left to right, the line slopes downwards, therefore it is a negative Slope. This narrows down your answer to either a or d. the slope is -1 because you can only ever write x by itself if it means 1x. In this case it is negative so it would look like this: -x

for the y-intercept, simply look at where the line passes through the y-axis. In this case, it is positive 2.

your finished equation would be: y=-x+2

i hope this is helpful

One advantage of a variable interest rate over a fixed interest rate is that a

variable rate:

A. is often lower initially

B. offers borrowers more flexible terms.

c. can be used for large purchases.

D. increases when the market rate increases

Answers

The term variable implies that the rate is bound to change over time, in this context variable interest rate may double as an Advantage and also as a disadvantage.

D. increases when the market rate increases

Variable interest rate is advantageous because as the market rate increases, the rate at which the customer will receive his/her interest will increase too

Learn more about interest rate here:

https://brainly.com/question/25720319

Answer: a

Step-by-step explanation:

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