A triangular tent has a perimeter of 29 meters. Side a is 3 meters shorter than twice side b and side c is 4 meters longer than side b, Find the length of side b.


A) 11 meters
B) 14 meters
C) 9 meters
D) 7 meters

Answers

Answer 1

Answer:

D) 7 meters

Step-by-step explanation:

So I would start this off by plugging in the variables into side B. So if we were to plug 7 into B there would be 22 meters left of the perimeter. Therefore meaning 22 between A and C. Now A is 3 meters shorter than TWICE of B. So 7 times 2 is 14 and 14 minus 3 is 11. now we have 11 and 7 which equals 18. 29 minus 18 giving us 11 left. 11 is C. Now it says c is 4 meters longer than B so it 7 plus 4 is 11. And everything adds up. HOPE THIS HELPS.

Answer 2

Answer:

Side b=7 meters

Step-by-step explanation:

Given:

Perimeter of triangle=29m

Side a=2b-3

Side b=b

Side c=4+b

To find:

Side b

Solution:

P of triangle=a+b+c

29=2b-3+b+4+b

29=2b+b+b+4-3

29=4b+1

29-1=4b

b=28/4

b=7m

I hope my answer is right.


Related Questions

find the domain
PLEASE AND THANK YOUUUU

Answers

Answer:

The domain is all real numbers except x=0

Step-by-step explanation:

The domain is the values that x can take

x can be all real number except when the denominator is zero

x cannot be 0

The domain is all real numbers except x=0

One fifth of a number is subtracted from one fourth of the number,the result is 8 more than 10.Find the number

Answers

Answer:

4

Step-by-step explanation:

Let the number be x.

According to the question,

[tex]\dashrightarrow \sf { \dfrac{1}{4}x - \dfrac{1}{5}x= 8 + 10 } \\[/tex]

[tex]\dashrightarrow \sf { \dfrac{5x + 4x}{2}= 18 } \\[/tex]

[tex]\dashrightarrow \sf { \dfrac{9x}{2}= 18 } \\[/tex]

[tex]\dashrightarrow \sf { 9x = 18 \times 2 } \\[/tex]

[tex]\dashrightarrow \sf { 9x = 36 } \\[/tex]

[tex]\dashrightarrow \sf { x =\cancel{ \dfrac{36}{9} }} \\[/tex]

[tex]\dashrightarrow \underline{\boxed{\pmb { \frak {x = 4 }}}} \\[/tex]

The number is 4.

sinθ/(1-〖cos〗^2 θ)=cosecθ

Answers

Answer:

see explanation

Step-by-step explanation:

Using the trigonometric identities

sin²x + cos²x = 1 ⇒ sin²x = 1 - cos²x

cosec x = [tex]\frac{1}{sinx}[/tex]

Consider the left side

[tex]\frac{sin0}{1-cos^20}[/tex]

= [tex]\frac{sin0}{sin^20}[/tex] ← cancel sinΘ on numerator/denominator

= [tex]\frac{1}{sin0}[/tex]

= cosecΘ = right side

Coordinate plane with two lines graphed. The equations of the lines are y equals negative two-thirds x plus four and the other line is y equals two-thirds x. Determine the number of solutions the system of linear equations has and the solution(s) to the equations represented by these two lines? The system of equations has 0 solutions, because the graph has no point of intersection. The system of equations has infinite number of solutions and all real numbers satisfy both equations. The system of equations has 1 solution and it is (3, 2). The system of equations has 1 solution and it is (3, 0).

Answers

Answer:

Step-by-step explanation:

y = -2/3x + 4

y = 2/3x

2/3x = -2/3x + 4

4/3x = 4

4x = 12

x = 3

y = 2/3(3)

y = 2

(3,2) one solution

option 3

a horizontally laid standard weight pipe has a diameter of 10 inches and is 12 feet long. The pipe is filled 9 inches high with water. How many gallons of water does the pipe hold? (Round your answer to the nearest gallon.) Please help.

Answers

Answer:

d isósceles hijo muy graciosa ya no me acuerdo de nada y tu q ases hablas con el

If x is 5, then 6x = _____.

Answers

Answer:

30

Step-by-step explanation:

if x is 5, then 6x=______.

sub in the value of x for 5

when a variable and coefficient as next to eachother that means to multiply

so 6*5= 30

Answer:

[tex]\large \boxed{\mathrm{30}}[/tex]

Step-by-step explanation:

[tex]x=5[/tex]

[tex]\sf{Substitute \ x \ as \ 5 \ for \ 6x.}[/tex]

[tex]6(5)[/tex]

[tex]6 \times 5 = 30[/tex]

In an atom, electrons have a negative charge and protons have a positive charge. One negative and
one positive cancel each other, just like zero pairs. An atom has 354 electrons and 139 protons.
What is the amount and type of charge?

Answers

Answer:

The charge is negative and the amount is 215

Step-by-step explanation:

Electrons are negative

-354

Protons are positive

+139

-354+139

-215

So

Electrons=-354Protons=+139

Net charge

354-139-215

Negative charge and the amount is 215

Trigonometry help needed
help would be appreciated ​

Answers

Answer:

Step-by-step explanation:

Question 5

Part A

if Sin(x) = - 3/5  and tan(x) < 0

you are told 3 things

cos(x) must be plus because there are 4 quads. Everybody is plus in quad 1. Sin and tan are <0 so you must be in quad 4 where cos(x) => 0From sin^2(x) + cos^2(x) = 1, we get that cos(x) = 4/5Tan(x) = sin(x) / cos(x)

tan(x) = Sin(x)/cos(x)

tan(x) = -3/5 // 4/5

Tan(x) = -3/4

Part B

cos(2x) = cos^2(x) - sin^2(x)

cos(2x) = (4/5)^2 - (-3/5)^2

cos(2x) = 16/25 - 9/25

cos(2x) = 7/25

Part B

x + y = 90

sin(x +y) = 1

Sin(x - y) =

Sorry can't do this part. I don't know what this is equal to.

A pair of dice is rolled. What is the probability that the sum of the two dice will be greater than 8 given that the first die rolled is a 5?

Answers

Answer:

1/2

Step-by-step explanation:

First die rolled 5

Second die can roll 1, 2, 3, 4, 5, 6

Only if the second die rolls 4, 5, 6 will the sum be greater than 8.

p(sum > 8) = 3/6 = 1/2

Answer: 1/2

Step-by-step explanation:

First die rolled 5

Second die can roll 1, 2, 3, 4, 5, 6

Only if the second die rolls 4, 5, 6 will the sum be greater than 8.

p(sum > 8) = 3/6 = 1/2

Given the sequence 4, 8, 16, 32, 64, ..., find the explicit formula. A. an=10(2n−1) B. an=5(2n−1) C. an=4(2n−1) D. an=20(2n−1)

Answers

Answer:

. an=4(2n−1)

Step-by-step explanation:

Convert the mixed number to an improper fraction 1 13/15

Answers

28/15 is the answer brodi

━━━━━━━☆☆━━━━━━━

▹ Answer

28/15

▹ Step-by-Step Explanation

[tex]1\frac{13}{15} \\\\1 * 15 = 15\\15 + 13 = 28\\\\\\= \frac{28}{15}[/tex]

Hope this helps!

CloutAnswers ❁

━━━━━━━☆☆━━━━━━━

A line passes through (4,-5) and had a slope of 5/2. Write an equation in point-slope form for this line

Answers

Answer:

y+5 = 5/2( x -4)

Step-by-step explanation:

Point slope form of a line is

( y-y1) = m(x-x1) where m is the slope and ( x1 ,y1) is a point on the line

y --5 = 5/2( x -4)

y+5 = 5/2( x -4)

Answer:

y + 5 = 5/2(x - 4)

Step-by-step explanation:

Use the point slope equation: y - y1 = m(x - x1), where (x1, y1) is a known point and m is the slope.

Plug in the values:

y + 5 = 5/2(x - 4)

So, the equation is y + 5 = 5/2(x - 4)

8. What is the solution to 4(1/2x+7)=12?

Answers

Answer:

x=-8

Step-by-step explanation:

4(1/2x+7)=12

Divide each side by 4

4/4(1/2x+7)=12/4

(1/2x+7)=3

Subtract 7 from each side

1/2x+7-7=3-7

1/2x = -4

Multiply each side by 2

1/2x*2 = -4*2

x = -8

Answer:

-8

Step-by-step explanation:

Divide both sides by 4 which will give you 1/2x+7=3

Then multipy both sides by 2 which will then give you x+14=16

Then move the constant = x=6-14

6-14 is -8 which will give you x=-8

What is the length of CD

Answers

Answer:

Step-by-step explanation:

3(x-2)

Answer:

CD = 7

Step-by-step explanation:

CD and GI are of same lenghth so

3x - 6 = x + 8

transpose

3x - x = 8+6

2x = 14

x = 14/2

x = 7

Evaluate without actual multiplication 1) 95x96 2)103x107

Answers

Answer:

:

"(100 + 3) (100 + 7)

Now, by using identity

(x + a) (x + b) = x² + (a+b)*x + ab

So,

x = 100 , a = 3 , b = 7

= (100)² + (3+7)*100 + (3*7)

= 10000 + 1000 + 21

= 11021

.

(110 - 7) (110 - 3)

by using identity

(x + a) (x + b) = x² + (a+b)*x + ab

So,

x = 100 , a = (-7) , b = (-3)

= (110)² + { (-7) + (-3) }*110 + {(-7)*(-3)}

= 12100 + (-10)*110 + 21

= 21200 - 1100 + 21

= 11021

.

➖➖➖➖➖➖➖➖➖➖

.

(90 + 5) (90 + 6)

by using identity

(x + a) (x + b) = x² + (a+b)*x + ab

So,

x = 90 , a = 5 , b = 6

= (90)² + (5+6)*90 + (5*6)

= 8100 + 990 + 30

= 9120

.

(100 - 5) (100 - 4)

by using identity

(x + a) (x + b) = x² + (a+b)*x + ab

So,

x = 100 , a = (-5) , b = (-4)

= (100)² + { (-5) + (-4) }*100 + 20

= 10000 + (-9)*100 + 20

= 10000 - 9000 + 20

= 10020 - 900

= 9120

.

➖➖➖➖➖➖➖➖➖➖

.

(100 + 4) (100 - 4)

by using identity

(x + a) (x + b) = x² + (a+b)*x + ab

So,

x = 100 , a = 4 , b = (-4)

= (100)² + { 4 + (-4) }*100 + 4*(-4)

= 10000 + (4 - 4)*100 - 16

= 10000 + 0*100 - 16

= 10000 - 16

= 9984

.

(90 + 14) (90 + 6)

by using identity

(x + a) (x + b) = x² + (a+b)*x + ab

So,

x = 90 , a = 14 , b = 6

= (90)² + (14 + 6)*90 + (14*6)

= 8100 + 20*90 + 84

= 8100 + 1800 + 84

= 9984"

This answer was in another question

This answer was given by BloomingBud

Step-by-step explanation:

Answer:

1) 9120 2) 11021

Step-by-step explanation:

95 * 96 = (100-5)(100-4) = 10000 - 500 - 400 + 20 = 9120

103 * 107 = (100+3)(100+7) = 10000 + 300 + 700 + 21 = 11021

the sum of 48 and itself its half and half of the hal is added to 18​

Answers

Answer:

150

Step-by-step explanation:

We are carrying out Addition

a) The sum of 48 and itself

= 48 + 48 = 96

b) Its half and half of the half

96 + (1/2 × 48) + (1/2 ×( 1/2 × 48)

= 96 + 24 +(1/2 × 24)

= 96 + 24 + 12

= 132

c) is added to 18

= 132 + 18

= 150

Therefore, the sum of 48 and itself, its half and half of the half is added to 18 is 150

The sum of 48 and itself its half and half of the half is added to 18​ is 150.

Given, we have a number 48.

We have to find the sum of 48 and itself its half and half of the half is added to 18​.

So, the half of the 48 is 24 and half of the half becomes 12.

Now the equation becomes,

[tex]48+48+24+12+18=150[/tex]

Hence the required sum is 150.

For more details follow the link:

https://brainly.com/question/2263981

What is the value of x, when -25(x - 4) = -55(x - 10)? A) x = 5 B) x = -5 C) x = 8 1/ 8 D) x = 15

Answers

[tex]-25(x - 4) = -55(x - 10)\\-25x+100=-55x+550\\30x=450\\x=\dfrac{450}{30}=15[/tex]

Answer:

x=15

Step-by-step explanation:

plz help me to slove this ​

Answers

Answer:

50

Step-by-step explanation:

= 3^3 + (2 x 2 x 3) + 2^2 + ( 3 + 2)^5

= 3^3 + (12) + 2^2 + (3 + 2)^5

= 3^3 + 12 + 2^2 + (5)^5

= 9 + 12 + 2^2 + 5^5

= 9 + 12 + 4 + 5^5

= 9 + 12 + 4 + 25

= 50

answer
answer
answer
answer
Please..

Answers

Answer:

It's true. We can write integers in fraction by giving it a denominator of 1.

Answer:

true

Step-by-step explanation:

solve for g 2-4g=14​

Answers

Answer: g=-3

Step-by-step explanation: 2-4g=14

                                             -2       -2

                                              -4g=12

                                              -4g/-4=g 12/-4=-3

Answer:

g = -3

Step-by-step explanation:

2-4g=14

Subtract 2 from each side

2-2-4g=14-2

-4g = 12

Divide each side by -4

-4g/-4 = 12/-4

g = -3

Please answer quick Find the standard form of the equation of the parabola with a focus at (-2, 0) and a directrix at x = 2. (5 points) y^2 = 4x 8y = x^2 x = 1 divided by 8 y^2 y = 1 divided by 8 x^2

Answers

Answer:

Step-by-step explanation:

If you plot the focus and the directrix on a coordinate plane, because the parabola wraps itself around the focus away from the directrix, we know that this parabola opens to the left. That means its general form is

[tex]4p(x-h)=-(y-k)^2[/tex] where h and k are the coordinates of the vertex and p is the distance between the vertex and either the focus or the directrix because both distances are the same. Knowing that both distances are the same, it logically follows that the vertex is directly in between the focus and the directrix. So the vertex is at the origin, (0, 0). p is 2 because the vertex is at an x value of 0 and the directrix is at the x value of 2, and because the focus is at an x value of -2. Filling in the equation, then:

[tex]4(2)(x-0)=-(y-0)^2[/tex] which simplifies to

[tex]8x=-y^2[/tex] and, solving for x:

[tex]x=-\frac{1}{8}y^2[/tex]

if a+1/a=3
What is the answer? a⁵+1/a⁵

Answers

Answer:

123

Step-by-step explanation:

We can square and cube the equation, then multiply the results together.

(a + [tex]\frac{1}{a}[/tex]) = 3 ← square both sides

a² + 2 + [tex]\frac{1}{a^2}[/tex] = 9 ( subtract 2 from both sides )

a² + [tex]\frac{1}{a^2}[/tex] = 7 → (1)

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

Now cube both sides

a³ + [tex]\frac{1}{a^3}[/tex] + 3(a + [tex]\frac{1}{a}[/tex]) = 27

a³ + [tex]\frac{1}{a^3}[/tex] + 3(3) = 27

a³ + [tex]\frac{1}{a^3}[/tex] + 9 = 27 ( subtract 9 from both sides )

a³ + [tex]\frac{1}{a^3}[/tex] = 18 → (2)

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

Multiply (1) and (2)

(a² + [tex]\frac{1}{a^2}[/tex] )(a³ + [tex]\frac{1}{a^3}[/tex] ) = 7(18)

[tex]a^{5}[/tex]  + ( [tex]\frac{1}{a}[/tex] + a) + [tex]\frac{1}{a^5}[/tex] = 126

[tex]a^{5}[/tex] + 3 + [tex]\frac{1}{a^5}[/tex] = 126 ( subtract 3 from both sides )

[tex]a^{5}[/tex] + [tex]\frac{1}{a^5}[/tex] = 123

can u help me with this problem ​

Answers

Answer:

$4.20

Step-by-step explanation:

y = .05x (using stat on calculator)

y = .05(84)

$4.20

the answers or this problem is $4.20

What are the solutions to the equation (2x – 5)(3x – 1) = 0? x = or x = 3 x = x = 5 or x = 1

Answers

Answer:

x = 5/2          x=1/3

Step-by-step explanation:

(2x – 5)(3x – 1) = 0

Using the zero product property

2x-5 =0    3x-1 =0

2x=5         3x =1

x = 5/2          x=1/3

Answer:

C on edg 2021

Step-by-step explanation:

When simplified completely, the product of a monomial and a binomial is
a trinomial.

Answers

Answer:

the answer is ; Never

Hope this answer correct :)

Answer:

the answer is never

Step-by-step explanation:

If r = 8 units and h = 5 units, what is the volume of the cylinder shown above? Use 3.14 for . A. 1,607.68 cubic units B. 653.12 cubic units C. 1,004.8 cubic units D. 452.16 cubic units

Answers

Answer:

C. 1,004.8 cubic units

Step-by-step explanation:

[tex]V = ?\\r = 8\\h =5 \\\pi = 3.14\\\\V = \pi r^2 h\\\\V = 3.14 \times 8^2 \times 5\\V = 1004.8 cubic units[/tex]

Answer:

C. 1004.8  cubic units

Step-by-step explanation:

Lets analyze the problem given, we have to find the volume of cylinder and use 3.14 as pi.

We can use the formula V=(3.14)r^2h to find the volume of the cylinder.

Below is the work to solve the formula:

8^2= 64

64(5)=320

320(3.14)=

1004.8  cubic units is our answer.

Shawna, Dexter, and Tilana are solving the equation Negative 2.5 (5 minus n) + 2 = 15. Shawna says, "I can begin by dividing each side of the equation by –2.5 to get 5 minus n minus StartFraction 2 over 2.5 EndFraction = Negative StartFraction 15 over 2.5 EndFraction." Dexter says, "I can begin by distributing Negative 2.5 to get Negative 12.5 + 2.5 n + 2 = 15." Tilana says, "I can begin by multiplying each side of the equation by Negative StartFraction 1 over 2.5 EndFraction to get 5 minus n minus 0.8 = negative 6." Which students are correct? only Shawna and Tilana only Shawna and Dexter only Dexter and Tilana Shawna, Dexter, and Tilana

Answers

Answer:

All three students are correct

Step-by-step explanation:

Given

Equation: -2.5(5 - n) + 2 = 15

Required

Which students are correct

To determine which of the students are correct; we have to test each of their solutions

SHAWNA

Statement: Dividing each side of the equation by –2.5 to get 5 - n - 2/2.5 = -15/2.5

[tex]\frac{-2.5(5 - n) + 2}{-2.5} = \frac{15}{-2.5}[/tex]

Split fractions

[tex]\frac{-2.5(5 - n)}{-2.5} + \frac{2}{-2.5} = \frac{15}{-2.5}[/tex]

Simplify each fraction

[tex]5-n - \frac{2}{2.5} = \frac{-15}{2.5}[/tex]

Shawna is correct...

DEXTER

Statement: Distributing -2.5 to get -12.5 + 2.5 n + 2 = 15.

[tex]-2.5(5 - n) + 2 = 15[/tex]

Open brackets

[tex]-12.5 + 2.5n + 2 = 15[/tex]

Dexter is also correct...

TILANA

[tex]\frac{-1}{2.5}(-2.5(5 - n) + 2) = \frac{-1}{2.5} * 15[/tex]

Open brackets

[tex]\frac{-1}{2.5}(-2.5(5 - n)) + \frac{-1}{2.5}(2) = \frac{-1}{2.5} * 15[/tex]

Simplify each bracket

[tex](5 - n) + \frac{-2}{2.5} = \frac{-15}{2.5}[/tex]

[tex](5 - n) - \frac{2}{2.5} = \frac{-15}{2.5}[/tex]

[tex]5 - n - 0.8 = -6[/tex]

Tilana is also correct

Hence, all three students are correct

Answer:

All of them are correct

Step-by-step explanation:

-5/6 + 1 2/9
Can some one help me out?

Answers

Answer:

[tex]2 \frac{4}{9} [/tex]

[tex] = \frac{ - 5}{6} + 1 \frac{2}{9} [/tex]

[tex] = \frac{ - 5}{6} + \frac{11}{9} [/tex]

[tex] = \frac{ - 5 \times 2 + 11 \times 1}{9} [/tex]

[tex] = \frac{ - 10 + 9}{9} [/tex]

[tex] = \frac{-1}{9} [/tex]

Point A is located at (0, 4), and point C is located at (−3, 5). Find the x value for the point B that is located one-fourth the distance from point A to point C.

Answers

Answer:

x = (-2 , 4.5)

Step-by-step explanation

Hope it helps! later!

How many times does 5 go into 1,200??

Answers

Answer:

240 times.

Explanation:

24 times because,

If you divide 5 with 12k that's,

= 1200/5

= 240

Hence proved, 240 times.

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