1. Construct the Isosceles triangle from given data below : Altitude = 55mm Perimeter = 135mm​

Answers

Answer 1

Answer:

  base: 22 37/54; sides: 56 17/108

Step-by-step explanation:

If we let x represent half the length of the base, and y represent the length of the side, then we have ...

  2x +2y = 135 . . . . . perimeter relation

  x^2 +55^2 = y^2 . . . . Pythagorean theorem relation

Solving for y and substituting into the second equation, we have ...

  y = 135/2 -x

  x^2 + 3025 = (67.5 -x)^2

  3025 = -135x +4556.25 . . . . . . expand, subtract x^2

  135x = 1531.25 . . . . . . . . . . add 135x -3025

  x = 1531.25/135 = 11 37/108

The length of the base is double this value, 22 37/54.

The length of each side is 67.5 -11 37/108 = 56 17/108.

__

Check

The perimeter is the base plus two side lengths:

  22 37/54 + 2(56 17/108) = (22 +112) +37/54 +17/54 = 134 +1 = 135.

1. Construct The Isosceles Triangle From Given Data Below : Altitude = 55mm Perimeter = 135mm

Related Questions

the difference of x and 15 is 62 solve for x

Answers

Answer:

x is 77

Step-by-step explanation:

Answer:

x = (-77)

Step-by-step explanation:

The other one is wrong. He did it right, but he forgot the -.

Hector is rewriting the expression 7 Superscript 11 in expanded form. How many terms will be multiplied in his rewritten expression? 2 7 11 12

Answers

Answer:

11

Step-by-step explanation:

If you could please help, what is the missing answer?

Thank you to anyone who helps out!

Answers

Answer:

48

Step-by-step explanation:

let s be the snowman, g be the girl, and t be the christmas tree

2s+g=24

2t+2ts=132

3t+2g=26

subtract 2 times the first equation from the third one to get

3t-4s=-22

from the second equation we can deduce

2t(1+s)=132

t(1+s)=66

t=66/(1+s)

Substitute:

3(66)/(1+s)-4s=-22

3(66)/(1+s)=4s-22

3(66)=(4s-22)(1+s)

3(66)=-18s+4s^2-22

4s^2-18s-220=0

using the quadratic formula, we get s = 10, s = -5.5.

2(10)+g=24

g=4

2t(1+10)=132

2t=12

t=6

So 2s+t*g= 20+6*4=48

you would get a different solution for the negative s, but since snowmen cannot be negative, 48 is the answe.r

A swimming pool is 20 feet wide and 40 feet long. If it is surrounded by a walkway of square tiles, each is 1 foot by 1 foot, how much area do the pool and walkway cover?

Answers

Answer:

124 tiles

Step-by-step explanation:

2(20+40)

2(60)

120+4=124

What is the slope of the line?

Answers

-8/5 is the slope of the line

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 19 feet more than the length of the shortest side. Find the dimensions if the perimeter is 167 feet.

Answers

Answer:

Please give Brainliest!

Step-by-step explanation:

The three dimensions are 36ft, 72ft, and 59ft.

Kate is 11 45
years old. Karina is 1 16
years younger than Kate and Jane is 1 13
years younger than Karina. How old is Jane?

Answers

Kate-1145
Karina-1029
Jane-916

At the craft store, Franklin bought a bag of red and brown marbles. He received 33 red marbles and 67 brown marbles. What percentage of the marbles were red?

Answers

Answer:

33% of the marbles were red

An online retailer allows customers to rate items on a scale from −5 to 5. An item receives the scores −1.75, −1, 4.25, 3.75, 1, −4.75, and 2. Find the mean score. Write your answer as a decimal.

Answers

Answer:

mean = 0.5

Step-by-step explanation:

The mean of a set of data is calculated as

mean = [tex]\frac{sum}{count}[/tex]

          = [tex]\frac{-1.75-1+4.25+3.75+1-4.75+2}{7}[/tex]

          = [tex]\frac{3.5}{7}[/tex]

          = 0.5

last question for this assiment​

Answers

Answer:

B. Distinct Parallel lines.

Step-by-step explanation:

Use the scale to help you solve the equation.​

Answers

The answer to your question is C. The second scale has 9. The other scale has 4. You need to subtract 9 and 4. 9-4=5

what value is equivalent to 5^2 x 5^2 A20 B425 C625 D80​

Answers

C. 5^2 is 25 so 25x25=625

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 19 feet more than the length of the shortest side. Find the dimensions if the perimeter is 167 feet.

PLS PLS HELP

Answers

just do 19 times 167 that’s what i always do it does work all the time tho you have to take a risk tho amen

If the sum of difference of 13 and 4 divided 64 and 8 is subtracted from the result. Find that number. Mathematical equation plz.​

Answers

Answer:

13+4=17,17/64=3-8=-5

Step-by-step explanation:

this is the solution

Step-by-step explanation:

Let x be the number subtracted from 13 such that the difference is 13-x

divide that resulting difference by 11, then it becomes (13 - x) / 11

Multiply the quotient by 8 then the expression becomes ((13-x)/11)^ * 8

the product comes to 8 then ((13-x)/ 11)^ * 8=8 solve the equation divide

both sides by 8, then (13 - x) / 11 = 1 cross multiply 13 - x = 11 add -13 to both sides - 13 + 13 - x = 11 - 13, - x = - 2 . x = 2 Therefore the number is 2

Choose the inequality that correctly represents the following sentence:

6 less than a number is at most 9.

Answers

Answer:

x - 6 ≤ 9

Step-by-step explanation:

using the keywords 'less than', 'a number', and 'atmost' we can identify the problem.

Describe the end behavior of the function.


f(x)=3(1/5)^x-2

Answers

Answer:

The leading coefficient test requires a polynomial.

Not a polynomial

Step-by-step explanation:

Answer:

  x → -∞, f(x) → ∞

  x → ∞, f(x) → -2

Step-by-step explanation:

f(x) is an exponential function with a base less than 1. It represents decay, so will approach infinity as x approaches negative infinity. It will approach a horizontal asymptote for large positive x.

The -2 added to the exponential term moves the asymptote from y=0 to y=-2.

  x → -∞, f(x) → ∞

  x → ∞, f(x) → -2

How many feet does each student climb after 10 steps?

Answers

The answer I think should be 15 hope this helps

Pilar climb 6.5 feet and Jake climbed 9.5 feet.

What is slope?

A line's slope is determined by how its y coordinate changes in relation to how its x coordinate changes. y and x are the net changes in the y and x coordinates, respectively. Therefore, it is possible to write the change in y coordinate with respect to the change in x coordinate as,

m = Δy/Δx

where, m is the slope

Given:

slope of pilar = 3-2/3-1 = 1/2

After 10 steps let the height covered by x.

then, slope= x-2/10-1

1/2 = x-2/ 9

9 = 2x -4

13 = 2x

x= 6.5 feet

now, slope of Jake= 8-5/7-1 = 3/6 = 1/2

After 10 steps let the height covered by y.

then, slope= x-5/10-1

1/2 = y-5/9

2y- 10 = 9

2y= 19

y= 19/2

y= 9.5 feet

Learn more about slope here:

https://brainly.com/question/3605446

#SPJ5

One week Roger earned $425.50 regular pay and $60.50 overtime pay. His net pay for the week was $275.30. How much did he have withheld for deductions?

Answers

Answer:

He had $210.7 withheld for deductions

Step-by-step explanation:

Add his regular pay to his overtime pay

$425.50 + $60.50 = $486

After adding both his overtime and regular pay, he'd have $486. Now, take that and subtract his net pay

$486 - $275.30 = $210.7 :)

what is the constant proprotionality in the equation y =7x

Answers

Answer:

7

Step-by-step explanation:

y=kx is the general formula for direct proportion where k is the constant. In your equation instead of k there is 7 so 7 is the constant.

HELP ASAP (40 POINTS)

Solve the equation.

16x^2 + 4 = 0

A: +/-4i
B: +/- 1/2i
C: +/- 1/4i
D: +/-2i

Answers

Answer:

c i think because the problem =-

[tex] - \frac{1}{4} [/tex]

Which function is represented by the graph? f(x) = â’|x â’ 3| 4 f(x) = â’|x 3| 4 f(x) = â’|x â’ 4| 3 f(x) = â’|x 4| 3.

Answers

Functions are used to represent graphs, and vice versa.

The function represented by the graph is [tex]f(x) =- |x + 4| + 3[/tex]

The graph (see attachment) is an absolute value graph.

An absolute value graph is represented as:

[tex]f(x) =a |x - h| + k[/tex]

Where

[tex]Vertex = (h,k)[/tex]

The vertex is the minimum or the maximum point on the graph.

So, we have:

[tex]Vertex = (-4,3)[/tex]

The function becomes

[tex]f(x) =a |x + 4| + 3[/tex]

The function also passes through the point (-1,0).

So, we have:

[tex]0 =a |-1 + 4| + 3[/tex]

[tex]0 =a |3| + 3[/tex]

Remove the absolute bracket

[tex]0 =3a + 3[/tex]

Subtract 3 from both sides

[tex]3a =- 3[/tex]

Divide both sides by 3

[tex]a =- 1[/tex]

Substitute -1 for (a) in [tex]f(x) =a |x + 4| + 3[/tex]

[tex]f(x) =- |x + 4| + 3[/tex]

Hence, the function represented by the graph is [tex]f(x) =- |x + 4| + 3[/tex]

Read more about absolute value graphs at:

https://brainly.com/question/3381225

Right Triangle ABC has sides of length 5 units, 12 units and 13 units. The triangle is dilated by a scale factor of 3 around point B. What is the area of triangle A'B'C'?

Answers

Answer:

Step-by-step explanation:

Multiply each # by 3 so 15 36 39

(15x36)/2=270

I'm sorry if its wrong.

The area of the right-angle triangle A'B'C' will be 450 square units.

What is dilation?

Dilation is the process of increasing the size of an item without affecting its form. Depending on the scale factor, the object's size can be raised or lowered. There is no effect of dilation on the angle.

Right Triangle ABC has sides of length 5 units, 12 units, and 13 units. The triangle is expanded by a scale element of 3 around point B.

Then the dimension of the right triangle is given as,

A'B' = 3 x 5 = 15 units

B'C' = 12 x 5 = 60 units

A'C' = 13 x 5 = 65 units

The area of the right-angle triangle A'B'C' will be given as,

A = (1/2) x 15 x 60

A = 15 x 30

A = 450 square units

The region of the right-point triangle A'B'C' will be 450 square units.

More about the dilation link is given below.

https://brainly.com/question/2856466

#SPJ2

Aaden has a points card for a movie theater.
• He receives 20 rewards points just for signing up.
• He earns 2.5 points for each visit to the movie theater.
• He needs 40 points for a free movie ticket.
a
Write and solve an equation which can be used to determine x, the number of
visits Aaden must make to earn a free movie ticket.
What’s the awnser ?

Answers

Answer:

He needs 8

Step-by-step explanation:

40 - 20 = 20

2.5 x 8 - 20

aaden needs to visit the movies 8 more times

Answer:

8

Step-by-step explanation:

20+2.5x=40

x equal the number of visits adam need to make to earn a free movie ticket

2.5x=40-20

2.5x=20

x= 20/2.5

x=8

one of the same side exterior angles of two parallel lines is 20 degrees less than the other same side exterior angle find the measures of the two angles (pls help i will give 25 points)

Answers

Answer:

25 I am not a fan of the gas increases when the piston is pushed in the next war

-3(8+j)=-16+5j
HELP ASAP NEED THIS DONE TONIGHT BEFORE MIDNIGHT

Answers

Answer:

  j = -1

Step-by-step explanation:

Eliminate parentheses:

  -24 -3j = -16 +5j

Add 3j+16

  -8 = 8j

Divide by the coefficient of j.

  -1 = j

[tex]\rm⇢ \: \: - 3(8 + j) = - 16 + 5j[/tex]

[tex]\rm⇢ \: \: - 24 - 3j = - 16 + 5j[/tex]

[tex]\rm⇢ \: \: 5j + 3j = - 24 + 16[/tex]

[tex]\rm⇢ \: \: 8j = - 8[/tex]

[tex]\rm⇢ \: \: j = - 1[/tex]

Need help i have attached images

Answers

Combine multiplied terms into a single fraction
-3/7m=12
-3m/7=12

Multiply all terms by the same value to eliminate fraction denominators
-3m/7=12
7x-3m/7=7x12

Cancel multiplied terms that are in the denominator
7x-3m/7=7x12
-3m=7x12

Multiply the numbers
-3=7x12
-3m=84

Divide both sides of the equation by the same term
-3m=84
-3m/-3=84/-3

Simplify
Cancel terms that are in both the numerator and denominator
Divide the numbers

m=-28

In this task, you will use the linear data from Task 1 to compare the linear functions.

Answers

Answer: Part A. Olivia- y=x+4 Camille- idr.k but it increases by 1/2 ever time

Part B. The slope represents the rate of change and the y-intercept indicates the value of y when x is 0.

Part C. Olivia's puppy weighed the most. It weighed 5 pounds.

Part D. Camille's puppy only gained 1/2 a pound each week.

Step-by-step explanation:

help fast it due at 11pm

Answers

Answer:

multiplying 14/15 by 5 then dividing by 7

URGENT! WILL MARK BRAINLIEST!!

Write an inequality that represents the graph.

(it’s #4)

Answers

x>2

Hope this helps! :)
Answer:
y > 2

Explanation:

- The dot is open, indicating that the inequality symbol must be greater than or less than (nothing with equal too).

- Since the graph is shaded to the right, that would mean that the inequality symbol would be greater than (>)

- The dot is placed at the value 2, therefore the solutions to the inequality would be all numbers greater than 2, or y > 2

Hope that helped!

Find the equation of the line passing through the points (0,7) and (5,-3).

Answers

Answer:

y = - 2x + 7

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Calculate m using the slope formula

m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]

with (x₁, y₁ ) = (0, 7 ) and (x₂, y₂ ) = (5, - 3 )

m = [tex]\frac{-3-7}{5-0}[/tex] = [tex]\frac{-10}{5}[/tex] = - 2

The line crosses the y- axis at (0, 7 ) ⇒ c = 7

y = - 2x + 7 ← equation of line

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