A flower bed is in the shape of a triangle with one side twice the length of the shortest side and the third side is 30 feet more than the length of the shortest side. Find
the dimensions if the perimeter is 198 feet.
What is the length of the shortest side?
The length of the shortest side is

Answers

Answer 1

Answer:

The three sides are 36 f t ,  72 f t  and  59 f t .

Step-by-step explanation:

Let the length of the shortest side of the triangular flower bed be x feet.

Then the length of the second side is 2x and

the length of the third side is  x + 23

The given perimeter is  167 f t  hence:

x+2x+x+23=167

4x+23=167

4x=167-23

4 x = 144

x = 144 /4 = 36

2 x = 2 ⋅ 36 = 72

x +23 = 36 + 23 = 59

The length of the three sides of the triangular flower bed are 36 f t ,  72 f t  and  59 f t .


Related Questions

1. 5 times a number decreased by 12 equals 62. What is the number?
Equation:
Solution:

2. One-half of a number is 8. What is the number?
Equation:
Solution:

help me please..tnx​

Answers

Equation: 5x-12=62
Solution: x=14.8

Equation: n/2=8
Solution: 16

HELP PLEASE!!!! ILL MARK U BRAINLESS FIRST PERSON TO ANSWER

Answers

Answer:

9/16 <fraction    0.5625 <decimal   56.25%

Step-by-step explanation:

Find the lateral area and the surface area of the composite solid. Keep answer in exact form.
10 cm
12 cm
1
1
1
1
32 cm
10 cm
Lateral Area
Surface Area

Answers

Answer:

a) Lateral area of the solid = 2011.43 [tex]cm^{2}[/tex]

b) Surface area of the solid = 2544 [tex]cm^{2}[/tex]

Step-by-step explanation:

a) Lateral area of the figure = 2[tex]\pi[/tex]rh

where; r is the radius of the cylinder, and h is its height.

Lateral area of the figure = 2 x [tex]\frac{22}{7}[/tex] x 10 x 32

                                          = 2011.43 [tex]cm^{2}[/tex]

b) The surface area = 2[tex]\pi[/tex]r(r + h) - 2([tex]\frac{1}{2}[/tex] x b x h)

                                 = 2[tex]\pi[/tex]r(r + h) - (b x h)

The height of the isosceles triangle can be determined by applying the Pythagoras theorem to have,

[tex]10^{2}[/tex] = [tex]6^{2}[/tex] + [tex]h^{2}[/tex]

100 = 36 + [tex]h^{2}[/tex]

[tex]h^{2}[/tex] = 100 - 36

   = 64

h = [tex]\sqrt{64}[/tex]

  = 8

h = 8 cm

The surface area of the solid = 2 x [tex]\frac{22}{7}[/tex] x 10 (10 + 32) - 12 x 8

                                                = 2640 - 96

                                                = 2544

The surface area of the solid is 2544 [tex]cm^{2}[/tex].

Convert. 2/3and 4/6 into like fraction

Answers

Answer:

Answer given below

Step-by-step explanation:

When we calculate the LCM, you get it as 6.

So both the fractions should have a denominator 6.

For that, in 2/3 we should multiply both numerator and denominator with 2 so that denominator becomes 6.

When we convert to like fraction, 2/3 becomes 4/6.

Now both the fractions have common denominator

Hope it helps.

The meaning of like is same and unlike means different. So to make it a like fraction the denominator needs to be the same 2 x 2= 4 3 x 3=6 = 4/6

A litter of kittens consists of two gray
females, one gray male, two black
females, and two black males. You
randomly pick one kitten. The kitten is
gray or male.

Answers

the kitten would be gray

PLEASE ANSWER ASAP FOR BRAINESLT!!!!!!!!
Mrs. Lee randomly surveyed 25 of her 125 students about their pets. Her survey indicate that 14 students have a dog, 7 students have a cat, 2 students have another kind of pet, and 8 students have no pet. (Note that some students have more than one pet). What is Mrs. Lee's best estimate of the total number of her students who have a dog?


A. 70

B. 35

C. 10

D. 40

Answers

Answer: Hello! When I tried solving the problem and I got the answer of 70.

Step-by-step explanation:

So, 14 out of the 25 kids have a dog. If you were to have 125 kids which if 5 times the first 25 kids it would be 14 x 5 which is 70.

Help solve the problem pls

Answers

Answer:

x = 2

Step-by-step explanation:

Inverse variation between x and y can be represented as:

xy = k

Where k is the constant of proportionality.

If x = 1 when y = 11, the constant of proportionality, k, would be:

1*11 = k

k = 11

To find x when y = 5.5, substitute y = 5.5 and k = 11 into xy = k

Thus:

x*5.5 = 11

Divide both sides by 5.5

x = 11/5.5

x = 2

14. The measure of Fis 110. The measure of 2E is 100°
What is the measure of D?
150°

Answers

According to given angles ,

Angle C=180- angle F (Linear pairs or st.line )

=70

Angle B = 180 - angle B (Same as above)

=80

Now

Angle D =Angle C + Angle B (Exterior angle property of a triangle)

=150°

Enjoy

PLZZ HELP I WILL GIVE A !)) POINTS Danny attempts the feat of jumping his motorcycle through the Flaming Hoop Jump of Awesome. In order for Daredevil Danny to pass through the hoop, he will need a safe path to travel. Let’s explore the parabolic trajectory that he will need for a safe journey.Step 4: Calculate the equation for the flaming hoop jump.
Using the same method for the practice jump, write the standard form of the equation that will get Daredevil Danny safely through the Flaming Hoop Jump of Awesome!


Determine the values of a, b, and c. Show your work. (10 points)


Using your values of a, b, and c, did Daredevil Danny successfully pass through the Flaming Hoop Jump of Awesome? If not, describe what happened. Then, go back to critique your work and revise it. Write about your revision. (5 points)


Once you have determined the correct values of a, b, and c, verify algebraically that Daredevil Danny will successfully pass through the Flaming Hoop Jump of Awesome. (5 points

Answers

Answer:

par t a:

plug in the root (4,0) to find a

0=a(4-24)^2+50

subtract 50 from both sides

-50=a(4-24)^2

4-24

=-20

-20^2=400

back to the equation

-50=a(400)

-50=400a

-50/400=-0.125

a = -0.125

part b:

-0.125(x-24)^2+50

-0.125(x-24)(x-24)+50

-0.125(x^2-24x-24x+576)+50

-0.125(x^2-48x+576)+50

-0.125x^2+6x-75+50

-0.125x^2+6x-22

a=-0.125

b=6

c=-22

part c: yes he went through

part d:

plug in vertex (4,0) and (44,0)

if x is 4 and y is 0

0=-0.125(4)^2+6(4)-22

0=-2+24-22

0=-2+2

0=0

if x=44 and y=0

0=-0.125(44)^2+6(44)-22

0=-242+264-22

0=-242+242

0=0

Step-by-step explanation:

MRK ME BRAINLIEST PLZZZZZZZZZZZZZ

Ryan has homework in six subjects. He is deciding what order to complete them in

Answers

More words of the problem

Luisa’s bank offers a 13% simple interest rate on investment accounts. How much money would Luisa haved in her account if she invests $2,000 for 4 years?
i apriciate any help, thank you!

Answers

Answer:c

Step-by-step explanation:

URGENT PLEASE HELP!! a rectangle's area is 336 mm Its height is 16 mm. What is its bases?​

Answers

Answer:

21mm

Step-by-step explanation:

Area = 336mm²

Height = 16mm

Base = ?

Area = Base × Height (Substitute numbers into the known variable)

336mm² = Base × 16mm ( Find the base,so divide

16mm on both sides)

Base = 336mm² ÷ 16mm

= 21mm

Translations, rotations, and reflections are rigid transformations. What can you conclude about the measures of sides and angles on any triangle after undergoing a series of rigid transformations? Explain.

Answers

Answer:

After a translation, the measures of the sides and angles on any triangle would be the same since translation only involves changing the coordinates of the vertices of the triangle.

After a rotation, the measures of the sides and angles of a triangle would also be the same. Similar to translation, the proportion of the triangle is unchanged after a rotation.

After a reflection, the triangle's sides and angles would still be the same since reflection is a rigid transformation and the proportion of the sides and angles are not changed.

Step-by-step explanation:

Rigid transformations, i.e. translations, rotations, and reflections, preserve the side lengths and angles of any figure. Therefore, after undergoing a series of rigid transformations, the side lengths and angle measures of any triangle will be the same as the original triangle, generally speaking, in another position.

Answer:

They are all congruent or equal. The angles and side lengths are preserved through the rigid transformations.

Step-by-step explanation:

That’s what i put

The average number of Saturday night shootings is 5 a night. What’s the chance that there will be a need for exactly 3 shootings this Saturday?

Answers

Answer:

0.14

Step-by-step explanation:

Using the poisson probability relation :

P(x = x) = (λ^x * e^-λ) ÷ x!

From the question ; mean, λ = 5 ; x = 3

Hence,

P(x = 3) = (5^3 * e^-5) ÷ 3!

P(x = 3) = (125 * 0.0067379) / 6

P(x = 3) = 0.8422375 / 6

P(x = 3) = 0.140

When you sunbathe nine feet from the swimming pool, your distance to a point of
tangency with the pool is twelve feet. Find the radius of the pool.

Answers

Answer:

[tex]9.5 \sqrt{?} [/tex]

Solve the following equation for x 2log: 2x = 2 Describe what method you used to solve the problem and why?

Answers

Answer:

look at the picture i sent


PLEASE HELP
Which statement correctly explains whether lim g(x)
X-3
exists?

Answers

Answer:

the answer is A on Edge

A) The limit does not exist because the values of h(x) seem to oscillate between random values around x = 9.

Step-by-step explanation:

took the quiz :)

The limit does not exist because the values of h(x) seem to oscillate between random values around x = 9 is the correct statement.

We have given that,

lim g(x)

X-3

What is the oscillation of the random values?

The application of results concerning partial limit laws of normed sums of independent and identically distributed random variables will be obtained.

Therefore from the graph, we can say that option A is correct.

A) The limit does not exist because the values of h(x) seem to oscillate between random values around x = 9.

To learn more about the oscillation visit:

https://brainly.com/question/26449711

#SPJ2

Jazmine has 4 and 2/3 fluid Ounces of coffee
creamer. She uses 1/6 fluid Ounce of
creamer in each cup of coffee. How
many cups of coffee can Jazmine make
with her creamer?

Answers

Jazmine can make 28 cups of coffee with her creamer.

Solution:
4 2/3 ÷ 1/6 = 28

Calculation Steps:
=14/3 ÷ 1/6
= 14/3 x 6/1
=84/3
=28

Help !!!!!!!!!!!!!!!!!!!!!

Answers

Answer:

6/52 is a reasonable answer

Someone pls help me with this problem

Answers

Answer:

B.

Step-by-step explanation: it is A. not B.

Kevin rented a truck for one day. There was a base fee of $20.95, and there was an additional charge of 94 cents for each mile driven, Kevin had to pay
$214.59 when he returned the truck. For how many miles did he drive the truck?
miles
?
PLS HELP

Answers

Answer:

Owner-operators may take in over $260,000 in gross revenue, but once you deduct expenses, maintenance and all of the costs that go along with running a truck, many don’t earn much more than experienced company drivers. It costs about $180,000 per year to run a commercial truck. Operating costs in the trucking industry are about $1.38 per mile.

Step-by-step explanation:

Allie made the line plot below to show the lengths of strings she cut for her art project.
What is the difference in length between the length of string she used most often and the length of string she used least often?
how can she die Lol free pts man LOL

Answers

Answer:

1/4, or 0.25 inches

Step-by-step explanation:

You count the dots. The number of dots tell you how many of each length of string she used.

You first find the column with the most dots, and then you find the column with the least. Then you just subtract them, the number of inches it displays on the bottom, 12 1/2 - 12 1/4, which is 1/4. I did this in my head and you can use a calculator if you want.

Thanks for the points, and have a blessed day. Hope this helps.

Answer:

Im pretty sure you acc was deleted so whatever dude the length was 69 inches and 420 millimeters

Find the circumference of a circle whose radius is 4 feet. Use 3.14 for Pi.

Answers

Answer:

25.12

Step-by-step explanation:

The formula of the circumference of a circle is: C = 2(pi)(r)

Plug in 3.14 for pi and 4 for the radius.

C = 2(3.14)(4)

Multiply.

C = 25.12

Translate this sentence into an equation. The sum of 16 and Delia's height is 74. Use the variable d to represent Delia's height.

Answers

The answer is :

16+d=74
“Sum” is the answer to an addition problem
“Is” always means equals (=)
“d” is the variable representing Delia’s height

So the answer is:
16+d=74

I need the answer pls, answer fast I am I s choool

Answers

Answer:

Hello! answer: D. 180

Step-by-step explanation:

What you do for these is find the surface area for each face separately then add them up so...

for the sides its 18 for the top and bottom it's 48 for the front and back it's 24 so now we add all 6 up so... 18 + 18 + 48 + 48 + 24 + 24 = 180 Hope that helps!

Answer:

180 in²

Step-by-step explanation:

To wrap the given box, we need to find the total surface area of the figure.

TSA of cuboid = 2 (lb + bh + hl)

= 2 { (6*8) + (8*3) + (3*6) }

= 2 ( 48 + 24 + 18 )

= 2 * 90

= 180 in²

HELP ME PLEASEEEEEEEEEEEEEEEE

Answers

Answer:

522 m^2

Step-by-step explanation:

I've circles the numbers that you actually need to solve this problem.

First, find the area of the bigger rectangle by multiplying the length and width.

24*21=504

Then find the area of the smaller rectangle the same way

3*6=18

then add them to get the total area

504+18=522

522 m^2


Mark invests $150 at the beginning of each quarter in stock ABC. According
to the table below, how many shares of ABC will Mark own at the end of the
year?
ABC
01
02
03
04
Stock Price
$15
$16
$13
$18
O A. 44 shares
O B. 36 shares
O C. 40 shares
O D. 38 shares

Answers

Answer: 38 shares

Step-by-step explanation:

h(-3), h(5), h(2), h(0)

h(x) = {x+1, x<2
{2x-1, x>2

Solve these:

h(-3) =
h(5) =
h(2) =
h(0) =

Answers

Answer:

h(-3) = -3h

h(5) = 5h

h(2) = 2h

h(0) = 0

In the school band, 5/8 of the students play a brass instrument. Only 1/5 of the students who play a brass instrument play the trumpet. What fraction of the band students play the trumpet?

Answers

Answer:

1/8

Step-by-step explanation:

5/8 * 1/5 = 1/8 or .125

VERY URGENT PLEASE HELP!!!!

Rafael's gas tank is 1/2 full. After he buys 9 gallons of gas, it is 4/5 full. How many gallons can Rafael's tank hold?

Answers

Answer:

30 Gallons

Step-by-step explanation:

Ok, lets see the difference the 9 gallons of gas did to Rafael's gas tank.

1/2 --> 0.5

4/5 --> 0.8

0.8-0.5 = +0.3

The tank was made 30% more full with the gas.

Next, we can use this to find the amount of gas which would need to be used to fully fill the tank, given that it was empty.

So to make it easier, say we filled it up a third of 30% to get an easier to work with 10% of fill of the gas tank.

9 / 3 ---> 3 Gallons

Now, multiply this by 10 to get the 100%

3 * 10 = 30 Gallons

All done!

you’re answers 30 gallons
hope this helps
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