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


A square has an area of 49in^2. If the same amount is added to the length and removed from the width, the resulting rectangle has an area of 45in^2. Find the dimensions of the rectangle Round your answer to the nearest tenth, when appropriate

Answers

The square is 7 by 7.
Then x inches are added to one side and subtracted from the other.
(7-x)*(7+x) = 45
x = 2
--> 5 by 9

The area of a rectangle is given as:

Area = Length x width

The dimensions of the rectangle are 9 inches and 5 inches.

What is a rectangle?

A rectangle is a two-dimensional shape where the length and width are different.

The area of a rectangle is given as:

Area = Length x width

We have,

Area of a square = 49 in²

Area of a square = side²

This means the side of the square is 7 inches.

Now,

Let the same amount be x.

The area of the rectangle = 45 in²

The length of the rectangle = 7 + x

The width of the rectangle = 7 - x

The area of the rectangle = Length x Width

45 in² = (7 + x)(7 - x)

45 = 49 - 7x + 7x - x²

45 = 49 - x²

x² = 49 - 45

x² = 4

x = 2

Now,

The dimensions of the rectangle are:

Length = 7 + x = 7 + 2 = 9 inches

Width = 7 - x = 7 - 2 = 5 inches

Thus,

The dimensions of the rectangle are 9 inches and 5 inches.

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What’s the correct answer??? I will mark as brainlest

Answers

Answer: the answer is 10

Step-by-step explanation:

Which input value produces the same output value for the two functions on the graph?
у
5
4
3
+ N
f(x) == {x+1
g(x) = 3x-4
-5 4 -3 -2 -14
2
х
g(x)
-3-
-5

Answers

The input value that produces the same output value for the two functions on the graph is; x = 3

Linear Equation Graphs

From the attached graph, we see the two functions represented by;

Blue line which is g(x)

Red line which is f(x)

Now, the input values are all values of x that can be traced to a corresponding value of y on the function lines.

Now, from the graph we see that the to lines meet at the coordinate (3, -1). Thus, the input value that produces the same output value is x = 3.

Read more about Linear Equation Graphs at; https://brainly.com/question/14323743

In ΔBCD, the measure of ∠D=90°, the measure of ∠B=26°, and DB = 48 feet. Find the length of BC to the nearest tenth of a foot.

The length of BC Is ___ ft.

Answers

Answer:

98.4 feets

Step-by-step explanation:

To obtain BC

we could make use of B as angle, the apply the trigonometric relation :

Tan B =adjacent / hypotenus

Tan B = DB / BC

Tan 26 = 48 / BC

0.4877325 = 48 / BC

BC = 48 / 0.4877325

BC = 98.4 feets

Luigi recorded the temperature in his garden at diffternt times of the same day

[tex]please tell \: the \: answer[/tex]

Answers

Answer:

wdym

Step-by-step explanation:

I don’t understand sorry

Last exam question for the day And im finally off!

No LINKS

Answers

Answer:

A1: a=4

A2: a=12

A3: p=18

Step-by-step explanation:

a= 1/2 4 * 2

= 4

a = 1/2 6 * 4

= 12

to find p add all sides

P= 6 + 6 + 6 = 18

Select the correct answer.
Which expression gives the area of triangle QRS?
s
15
20°
R
9
O A £19)(15)cos(209)
O B. (11)(15)cos(209)
oc. (9)(15)sin(20°)
OD. £(11)(15)sin(209)

Answers

Area of ΔQRS is 1/2×9×15×sin20° which is correct option (C)

What is area of triangle?

Area of triangle is half the product of any two sides and the sine of the included angle.

Area = 1/2.ab.sinC

Area of ΔQRS = 1/2×9×15×sin∅

∵ ∅ = 20°

Area of ΔQRS = 1/2×9×15×sin20°

Hence, area of ΔQRS is 1/2×9×15×sin20°

Learn more about area of triangle

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Is the product 3/5 times 8 greater than or less than 8? Explain.

Answers

Answer:

Less than

Step-by-step explanation:

1x8 - exactly 8

So multiplying something less than 1 x 8 must be less than 8.

3/5<1

Hope this helps!

Find the volume of the solid

Answers

2,784 millimeters cubed

Answer:

V = 2784 mm^3

Step-by-step explanation:

The base of this prism is a right triangle. We can use the formula:

A = bh/2

to find the area of the base. A is area, b is base, and h is height. We can substitute what we have:

A = 16 * 12 / 2

A = 96

The volume of a prism is represented by the formula:

V = Bh

Where V is the volume, B is the base, and h is the height.

We have the area of the base as 96 and the height as 29, so we can substitute them in:

V = 96 * 29

V = 2784 mm^3

Timmy estimated he would spend $9 at the candy store. He went a little over-budget and spent $12. What was the percent error?

Answers

Answer :

Error (e) = 12 - 9 = $ 3

assumed value (a) = $ 9

[tex]\boxed{ \mathrm{ \% \: error = \dfrac{error}{assumed \: value} \times 100}}[/tex]

[tex]\mathrm{ \% \: error =\dfrac{3}{9} ×100}[/tex]

[tex]\mathrm{ \% \: error = \dfrac{1}{3} ×100}[/tex]

[tex]\mathrm{ \% \: error = 33.33 \%}[/tex]

_____________________________

[tex]\mathrm{ \#TeeNForeveR}[/tex]

The probability of getting a A in mr Atkesons class is 25% what is the probability of not getting a A

Answers

Answer:

75%

Step-by-step explanation:

100% - 25% = 75%

<3 Enjoy,

    Dea

I need help with this question please​

Answers

Answer:

The answer is 4

Step-by-step explanation:

question in pictures​

Answers

Answer:

V = 252 m³

Step-by-step explanation:

Formula for volume of a triangular prism = base area × height of prism

We are given the height (H) of the prism = 9 m

Let's find the base area using the figure of the base that is shown above with the dimensions:

Base area = ½*bh

b = 14 m

h = 4 m

Base area = ½*14*4

= 28 m²

✅Volume of the triangular prism = 28 × 9

= 252 m³

Plz I need your help

Answers

The mode is 87 degrees.

in desperate need of help please :/

Answers

Answer:

since 13 miles is 68640 i wood say 189 inches long from bumper to bumper. A mile is 5,280 feet (or 63,360 inches).

If 335 of these cars were parked with their bumpers touching, they would be almost exactly a mile long.

If your question refers to traffic jams, the answer will be a bit different, since cars in traffic jams don’t get that close together. I’m going to take a wild guess here, but let’s assume that there is a 4-foot gap between cars in our hypothetical traffic jam.  now put that in to 13 miles

Step-by-step explanation:

Gary's stock dropped 3 points in value every day for 4 days. Find the integer that represents the change in value of his stock during that time.

Answers

Answer:

- 12 points

Step-by-step explanation:

He's dropping three points each day for four days, ie 4 * 3 , which is equal to 12.

The identity (x^2 + y^2)^2 = (x^2 - y^2)^2 + (2xy)^2 can be used to generate Pythagorean triples. What Pythagorean triple could be generated using x = 8 and y = 3?

Answers

Answer:

The triple are: 48, 55 and 73

Step-by-step explanation:

Given

[tex](x^2 + y^2)^2 = (x^2 - y^2)^2 + (2xy)^2[/tex]

[tex]x = 8; y=3[/tex]

Required

The Pythagorean triple

We have:

[tex](x^2 + y^2)^2 = (x^2 - y^2)^2 + (2xy)^2[/tex]

Substitute: [tex]x = 8; y=3[/tex]

[tex](8^2 + 3^2)^2 = (8^2 - 3^2)^2 + (2*8*3)^2[/tex]

[tex](64 + 9)^2 = (64 - 9)^2 + (48)^2[/tex]

[tex](73)^2 = (55)^2 + (48)^2[/tex]

[tex]5329 = 5329[/tex]

Hence, the triple are: 48, 55 and 73

122333444455555666666777777788888888
what is the patern

Answers

Answer:

each number it being counted that number of times

hope this helps

have a good day :)

Step-by-step explanation:

The amount of times the number is written, is the same as the number itself

Why are there so many bots on here?

Answers

Answer:

Not sure, It's getting kinda annoying ngl

Step-by-step explanation:

Can somebody please help me out please my grads are bad

Answers

Answer:

700mm

Step-by-step explanation:

.7 meters = 70cm = 700mm

Answer:

ASK A RABBIT

Step-by-step explanation:

Question 9 of 10
Which best describes how to find the length of an arc in a circle?
A. Divide the arc's degree measure by 360°, then multiply by the
circumference of the circle,
B. Divide the arc's degree measure by 360°, then multiply by the
radius of the circle.
C. Divide the arc's degree measure by 180°, then multiply by the
radius of the circle.
D. Divide the arc's degree measure by 180°, then multiply by the
circumference of the circle.

Answers

To find the length of an arc in a circle we use (a) Divide the arc's degree measure by 360°, then multiply by the circumference of the circle,

Which best describes how to find the length of an arc in a circle?

From the question, we have the following parameters that can be used in our computation:

The length of an arc in a circle

The length of an arc in a circle is calculated as

Length = Angle/360 * Circumference

This is representd by the option (a)

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A rectangle is removed from a right triangle to create the shaded region shown below. Find the area of the shaded region. Be sure to include the correct unit in
your answer.
00
alyd
yd
yde
yoo
3yd
х
3
?
2yd
4yd
2yd

Answers

All of those smaller ones make up 11 yards
The answer should be 43.5 yds

The ratio of boys to girls in a
group is 7 : 1. If there are 48 more boys
than girls, work out how many girls
there are

Answers

Answer:

48+x/x=7/1

48+x=7x

6x=48

x=8

no. of girls = 8

no.of boys= 48+8

= 56

The answer is 8

Answer:

8 girls

Step-by-step explanation:

Ratio boys to girls = 7:1

There area 48 more boys than girls

First lets make an equation

7x - 1x = 48

6x = 48

x = 8

There are 8 girls

Check:

7*x : 1*x =

56 : 8

56 - 8 = 48

Correct

If my answer is incorrect, pls correct me!

If you like my answer and explanation, mark me as brainliest!

-Chetan K

Angle Relationships

When solving for x, the sine of 33° is used. What other angle and trigonometric function could be used to solve for x?

a. cos 57°
b. tan 33°
c. tan 57°
d. cos 33°

Please select the best answer from the choices provided

Answers

Answer:

A. cos 57°

Step-by-step explanation:

I calculated it logically

Answer:

The answer correct A. Cos 57

Step-by-step explanation:

90-33=57

Arrange the vehicles in descending order according to the altitudes at which they operate.

Vehicle Altitude (feet)
sailboat 0
submarine -1,500
glider 5,000
airship 3,000
A.
sailboat, submarine, glider, airship
B.
submarine, sailboat, airship, glider
C.
airship, glider, submarine, sailboat
D.
glider, airship, sailboat, submarine

Answers

Answer:

airship, glider, submarine, sailboat

What is the solution to the inequality below?
√x>5
O A. No solutions
O B. O< x< 25
O C. x> 25
O D. x>10

Answers

Answer:

Quadratic Equations

A quadratic equation is one of the form ax2 + bx + c = 0, where a, b, and c are numbers, and a is not equal to 0.

Factoring

This approach to solving equations is based on the fact that if the product of two quantities is zero, then at least one of the quantities must be zero. In other words, if a*b = 0, then either a = 0, or b = 0, or both. For more on factoring polynomials, see the review section P.3 (p.26) of the text.

Example 1.

2x2 - 5x - 12 = 0.

(2x + 3)(x - 4) = 0.

2x + 3 = 0 or x - 4 = 0.

x = -3/2, or x = 4.

2x+y=3
x-y= 1

solve the equation ​

Answers

Answer:

x = 4/3

y = 1/3

Step-by-step explanation:

System of equations! This is set up really well to make the second equation equal x then substitute.

x - y = 1

x = 1 + y

and then our substitution:

2 (1+y) + y = 3

and solve:

2 + 2y + y = 3

3y + 2 = 3

3y = 1

y = 1/3

And now we can substitute that value into one of our equations:

x - (1/3) = 1

x = 4/3

Next we should check by substituting these values into both of our equations:

2 (4/3) + (1/3) = 3

9 / 3 does equal 3 !

(4/3) - (1/3) does equal 1 !

Therefore, x = 4/3 , and y = 1/3

Answer: x = 4/3, y = 1/3

Explanation:

2x + y = 3
x - y = 1
=> x = 1 + y

2(1 + y) + y = 3
2 + 2y + y = 3
3y = 3-2
y = 1/3

x - 1/3 = 1
x = 3/3 + 1/3
x = 4/3

what is 1+1-(3x3)-(1x9)

Answers

1+1-(3x3)-(1x9)
The answer is -16

Solve the proportion 7/5=21/x

Answers

If you’re asking what x equals, the answer is 15

Please help me! What is x and y? Thank you!

Answers

Answer:

x=3. y=6

Step-by-step explanation:

So, to solve x and y, we need to take the equivelent sides of the two triangles, take their equations, and solve them.

So to find what x equals, we can take the 13, and make it equal to the 4x+1:

13=4x+1

Subtract the one from both sides:

12=4x

Divide both sides by 4:

3=x

Or

x=3

So we know the x value is 3.

Now lets solve for y using the bottom equations:

2x+y=8x-2y

Subtract 1y from both sides:

2x=8x-3y

Subtract 8x from both sides:

-6x=-3y

Divide both sides by -6:

x=1/2y

So we already know that x=3, lets plug that in for x, and solve for y:

3=1/2y

Or

1/2y=3

Multiply both sides by 2 to get 1y:

y=6

So we know that y is equal to 6.

Hope this helps!

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