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 is the common ratio of the sequence?
-2, 6, -18, 54,...

A.-3
B.-2
C.3
D.8

Answers

-3 bc i know everything

Question 9 of 10 What is the length of DE?

Answers

Answer:

I think it's B.

Step-by-step explanation:

(3v^5-34v^4+79v^3+5v^2+21v+19)\(v-8)

Answers

Answer:

3 big guys

Step-by-step explanation:

Answer:

Step-by-step explanation:

we find by synthetic division.

v-8=0

v=8

8 |  3  -34   79   5   21   19

  |  -     24  -80 -8  -24 -24

  |----------------------------------

     3   -10    -1   -3    -3  |-5

Quotient:-3v^4-10v³-v²-3v-3

Remainder:- -5

Mark which expressions represent the distance between 46 and-15

Answers

|-15-46|
...........


Help please and thanks

Answers

Answer:

Rate of change of length of shadow is [tex]\frac{15}{7} ft/s[/tex]

Step-by-step explanation:

Consider the figure

We have

[tex]\begin{aligned}&\frac{d x}{d t}=\text { rate of person walking } \\&\frac{d y}{d t}=\text { rate of change of shadow length } \\&\frac{d x}{d t}+\frac{d y}{d t}=\text { rate of change of tip of shadow }\end{aligned}[/tex]

[tex]\begin{aligned}&\frac{6}{20}=\frac{y}{x+y} \\&6(x+y)=20 y \\&6 x+6 y=20 y \\&6 x=14 y\end{aligned}[/tex]

[tex]6\left(\frac{d x}{d t}\right)=14\left(\frac{d y}{d t}\right)\\\\6(5)=14\left(\frac{d y}{d t}\right)\\\\\frac{30}{14}=\frac{d y}{d t}\\\\\frac{15}{7}=\frac{d y}{d t}\\\\[/tex]

Rate of change of length of shadow is [tex]\frac{15}{7} ft/s[/tex]


A textbook store sold a combined total of 272 biology and math textbooks in a week. The number of math textbooks sold was 50 less than the number of biology textbooks sold. How many textbooks of each type were sold? Number of biology textbooks sold: number of math textbooks sold:

Answers

Answer:

b = 161, m = 111

Step-by-step explanation:

b + m = 272

m + 50 = b

Substitute

m + 50 + m = 272

2m = 222

m = 111

Plug in for m

b + 111 = 272

b = 161

4x+3y=7 what is the coefficients

Answers

co-efficient of x is 4co-efficient of y is 3constant term is -7

nasa pick po yong sagot

#CARRYONLEARNING

loveuall:)

3 poil The ratio of the number of Taylor's CDs to the number of Dave's CDs is 7 to 9. Taylor has 84 CDs. Together how many CD's do they have? ​

Answers

Answer:

192

Step-by-step explanation:

The 7 part of the ratio relates to Taylor's 84 CDs

Divide the amount by 7 to find the value of one part of the ratio.

84 ÷ 7 = 12 ← value of 1 part of the ratio, then

9 parts = 9 × 12 = 108 ← number of CDs Dave has

Total CDs = 84 + 108 = 192

WILL GIVE BRAINLIEST

Answers

Answer:

its the 2nd and the 6th one

Step-by-step explanation:

A lock consist of 4 dials, where each dial has 6 letters.what is the probability of guessing the right combination in one try?

Answers

Answer:

Step-by-step explanation:

The total number of choices is 6 * 6 * 6 * 6 = 1296

You have one chance to get it right

That's 1/1296 = 0.00077

Answer:

1/1296

Step-by-step explanation:

The probabilty of getting one of the dials correct is 1/6 because there are 6 letters on each dial. So if there are 4 dials, then the chance is multiplied by itself 4 times (1/6 * 1/6 *1/6 * 1/6). 1/6 * 1/6 *1/6 * 1/6 is equal to 1/1296.

The length of a rectangular garden is 30 yards more than the width. The perimeter is 300 yards. Find the length and width

Answers

Answer:

Length is 90yards and width is 60yards

Step-by-step explanation:

Perimeter= 2( length+width)

let the width be x

then the length will be 30 + x

300 = 2(30+x+x)

150 = 30 + 2x

120= 2x

x = 120/2

x = 60 yards

length= 30+x

= 30 + 60

= 90yards

I need help with this and i dont know how to do it

Answers

Answer:

  see attached

Step-by-step explanation:

In general, you plot the solution to an inequality by placing a dot at the bound, then extending a line in the direction indicated by the inequality.

If the inequality symbol is < or >, the dot will be an open circle.

If the inequality symbol is ≤ or ≥, the dot will be a solid dot. That is the kind of dot needed here.

The boundary (dot) location for x ≥ -8 is at -8 on the number line. The inequality indicates that values of x greater than that are in the solution set, so the line will be shaded to the right of the dot.

The boundary (dot) location for x ≤ -2 is at -2 on the number line. The inequality indicates that values of x less than that are in the solution set, so the line will be shaded to the left of this dot.

Since the values of x must satisfy both inequalities (the conjunction is "and"), the solution set is where the lines overlap—between -8 and -2 on the number line.

_____

Additional comment

I find it useful to write inequalities with the "arrow" pointing to the left. Here, the inequalities would be written ...

  -8 ≤ x and x ≤ -2

Note that x is in the middle when the far left number is less than the far right number. (-8 < -2). That means, the inequality can be written as the compound ...

  -8 ≤ x ≤ -2

When the inequalities are written in this way, with arrow(s) pointing left, the location of the variable relative to the constant is the location of the shaded line relative to the dot representing the constant. Here, the appearance of ...

  -8 ≤ x ≤ -2

effectively shows you that the number line is shaded between solid dots at -8 and -2.

HELP PLEASE!!! 50 POINTS INCORRECT ANSWERS WILL BE REPORTED.

Answers

Congruent means same so the equation is
5x+24=9x-17
Subtract 5x on both sides
24=4x-17
Add 17 to both sides
41=4x
Divide by 4
10.25

Need help with math

Answers

I have no idea math should have been working hade books bye sorry

2,548 rounded to the nearest hundred

Answers

Answer:

the answer is  2,500

Step-by-step explanation:

any number higher than 5 you round up but any number lower than 5 you round down.

4 is lower than 5 so you round it down and the 5 stays the same, and replace it with 0's.

(-1,-3); slope 5
PLEASE HELP

Answers

What you need?
I don’t understand

The angle of depression from a window 10 m above the ground to a coin on the ground is 15°. Find the distance of the coin from the base of the building. Show your reasoning for each step.

Answers

Here is the answer and the working

Help with number 2

No links
No jokes to just get points

Answers

Answer:

A. Circle  -2.5x and 1.7x list x  B. List t and s C. Circle 15k and 2/5k list k and m

Step-by-step explanation:

You do it??

When f(x)=4, what is the value of x?
This mapping shows a functional relationship.
Domain
Range
оо
O 2
2
4
3
-3
0
4
-1
→-1
→ 3

Answers

Check the picture below.

The value of f(x) at x=4 is 2.

What is Function?

A function is an expression, rule, or law in mathematics that describes a relationship between one variable (the independent variable) and another variable (the dependent variable). Functions are common in mathematics and are required for the formulation of physical relationships in the sciences.

We have to find the value of function for x=4.

This means that from the figure we have to find the value of y when x= 4.

Now, looking into the figure we have

f(4)= 2

f(0)= -2

f(-1)= -1

f(3)= 4

So, the required value is 2.

Learn more about Function here:

https://brainly.com/question/12431044

#SPJ7

1 2/5m-3/5(2/3m+1)pls help

Answers

Answer:  (10m-3)/5

Step-by-step explanation:

Convert 1 2/5 into an improper fraction

Simplify  5+25+2  to  7

Simplify 2/3m to 2m/3

Simplify 7/5m to 7m/5

Expand and remove the parenthesis

Collect the like terms

Simplify

Choose the fraction that goes in the blank. 5/12< _____<3/4

Answers

Answer:

7/12 or 8/12 are both good options

Step-by-step explanation:

nvr mind, its 7/12 only

Choose the symbol that correctly compares the fractions below.

Answers

Answer: A. ( > )

Step-by-step explanation: When you learn fractions, the fraction with the smaller numerator ( the top number) is the greater fraction because it contains more parts of the whole.

LCM of two numbers is 1134 and HCF is 18. if one of the numbers is 162, find the other. number.

Answers

Answer:  126

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

Work Shown:

Let x and y be the two numbers.

We're given x = 162 and the variable y is unknown.

We're also given LCM = 1134 and HCF = 18

So,

LCM = (x*y)/HCF

1134 = 162*y/18

1134 = (162/18)y

1134 = 9y

9y = 1134

y = 1134/9

y = 126

The other number is 126

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

Notice that

162 = 18*9126 = 18*7

showing that 18 is the highest common factor (HCF) of the numbers 162 and 126. This partially confirms the answer.

Now let,

A = multiples of 162B = multiples of 126

So,

A = 162, 324, 486, 648, 810, 972, 1134, 1296, ...B = 126, 252, 378, 504, 630, 756, 882, 1008, 1134, 1260, ...

We see that 1134 is in each list of multiples and the smallest such common item. So the lowest common multiple (LCM) of 162 and 126 is 1134. This helps fully confirm the answer.

hello please help me​

Answers

Answer:

I think it is 249 for the first one and the second one i dont know sorry

Step-by-step explanation:

A colony of bacteria is growing at a rate of 50% per hour. If this rate of growth remains the same and the colony starts with 100 bacteria, approximately how many bacteria will there be after 6 hours

Answers

Answer:

1,139.0625

Step-by-step explanation:)

100 BACTERIA to start

1Hour = 50% of the start (which is 100 so half would be 50) this suggest 100+50= 150

2hour = 50% of 150 which is 75 and this suggest

150+75= 225

3 hour = 50% of 225 which is 112.5 this suggest

225+112.5=337.5

4hours = 50% of 337.5 which is 168.75 this suggest

337.5 + 168.75=506.25

5hours = 50% of 506.25 which is 253.125 this suggest

506.25+253.125=759.375

6hours = 50% of 759.375 which is 379.6875 this suggest

759.375+379.6875=1,139.0625

Answer: 1139 bacteria

There are two spheres; the radius of the big sphere is two times the radius of the small sphere. How many times larger is the volume of the big sphere compared to the small one?

Answers

The volume of the bigger sphere is 8 times larger than the volume of the smaller sphere.

The formula of the volume of a sphere is given below

⇒ Formula:

V = 4/3(πr³)................. Equation 1

⇒ Where:

V = Volume of the spherer = radius of the sphereπ = constant called pie

From the question, There are two spheres.

If the radius of the bigger sphere is two times the radius of the smaller sphere.

R = 2r

⇒ Where

R = bigger radiusr = smaller radius

For the bigger sphere

⇒ Substitute these values into equation 1

V = 4/3(π(2r)³)V = 4/3(π8r³)............. Equation 2

  For the smaller sphere,

V' = 4/3(πr³)............... Equation 3

⇒ Comparing equation 2 and equation 3

V = 8V'

Hence, The volume of the bigger sphere is 8 times larger than the volume of the smaller sphere.

Learn more about volume here: https://brainly.com/question/1972490

When a number is subtracted from 24 and the difference is divided by that number, the result is 3. What is the value of the number?

a) 2
b) 4
c) 6
d) 12
e) 24

Answers

24-x /x= 3
24-x= 3x
24= 4x
x= 6

Please answer these!!!! :D

Answers

Question 7: greater than

what is the example of a product that will have the same number of zeros in the factors and the products? what is one example of a product that will not have the same numbers of zeros in the factors as the product​

Answers

Answer:

same: 30×40 = 1200different: 20×50 = 1000

Step-by-step explanation:

Same: 30×40 = 1200 . . . . . 2 zeros in the factors; 2 in the product

Different: 20×50 = 1000 . . . 2 zeros in the factors; 3 in the product

__

Same: 0.3×0.4 = 0.12 . . . . no zeros in the factors; no zeros in the product

Different: 0.2×0.4 = 0.08 . . . no zeros in the factors; 1 zero in the product after the decimal point

_____

For a product, the number of zeros will be different if the combined factors of the numbers increase the number of factors of 10 beyond the sum of the factors of 10 of the numbers being multiplied.

Example: neither 2 nor 5 has a factor of 10, but their product does.

__

For a product that is a decimal fraction, the number of leading zeros will increase if the product of the mantissas of the numbers is less than 10. The number of trailing zeros will increase under the conditions discussed above. (0.25×0.4 = 0.100)

_____

Additional comment

Here, the term "mantissa" is used to refer to the portion of the number written in scientific notation that multiplies the power of 10.

Find the least common denominator for these fractions. Enter your answer in
the space provided.

Answers

Answer:

5/12

Step-by-step explanation:

1/4 and 1/6 are fractions.

As we directly can't add fractions whenever denominators are different, so we will have to find out the Least common multiple of 4 and 6.

The LCM Of 4&6 will be 12, so we will write 12 instead of 4&6.

Now, 4*3=12, that is why we will have to multiply the numerator and denominator with 3.

1*3/4*3 = 3/12

Same thing applies to 1/6. In order to get 12 in the denominator we need to multiply 2 with numerator and denominator both.

1*2/6*2= 2/12

However, we have two new fractions with same denominator now, that is 3/12 and 2/12

We can directly add the numerators now, as we have the same denominator. So 3+2/12= 5/12 would be my final answer. (addition of like fractions)

5/12

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