1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
kumpel [21]
3 years ago
11

Steve made a sign for his room that is shaped like a triangle. It is 4.5 feet long and 3 feet high. He wants to make another sig

n that is shaped like a triangle and similar to the first sign. The new sign will be 4 feet high.
Part A

Write a proportion that Steve can use to find the length, x, of the new sign.

Part B

What is the length, in feet, of the new sign? Make sure to show your work and explain your reasoning.
Mathematics
1 answer:
Fed [463]3 years ago
6 0

Answer: PART A : \frac{4.4}{x} = \frac{3}{4}

PART B : 5.9 FEET

Step-by-step explanation:

Length of the first sign = 4.4 feet

height of the first sign = 3 feet

Length of the second sign = x feet

height of the second sign = 4 feet

If two shapes are similar , then the ratio of their sides are equal,

That is ;

\frac{h_{1}}{h_{2} } = \frac{L_{1}}{L_{2} }

PART A

\frac{4.4}{x} = \frac{3}{4}

PART B

\frac{4.4}{x} = \frac{3}{4}

cross multiplying , we have

3x = 4.4 x 4

3x = 17.6

Divide through by 3

x = 17.6/3

x = 5.86666666666667

x≈ 5.9 feet

Therefore , the length of the new sign is 5.9 feet

You might be interested in
3. At a bargain store, Jamal bought 2 items that each cost the same amount. Isaiah bought 3 items that each cost the same amount
coldgirl [10]

Answer:

  • $6.75 and $4.50

Step-by-step explanation:

a) <u>Jamal spent:</u>

  • 2x

<u>Isaiah spent:</u>

  • 3 (x - 2.25)

<u>The equation is:</u>

  • 2x = 3(x - 2.25)

b) <u>Solving the equation</u>

  • 2x = 3x - 6.75
  • 3x - 2x = 6.75
  • x = 6.75

c) <u>Jamal's items cost </u>

  • $6.75 each

<u>Isaiah's items cost </u>

  • $6.75 - $2.25 = $4.50 each
7 0
2 years ago
Pls help extra points and mark brainlist
DIA [1.3K]

Answer:

7 x 7 x 7 x 7 = 2401

Step-by-step explanation:

4 0
2 years ago
Read 2 more answers
The graph of f(x) = |x| is transformed to g(x) = |x + 1| – 7. On which interval is the function decreasing?
timofeeve [1]

Answer:

g is decreasing for all x less than or equal to -1

Step-by-step explanation:

The graph of the function y = |x| looks like a "vee."

g(x) = |x + 1| - 7 moves that graph 1 unit to the <u>left</u><em> </em>(I know, it looks backwards!) and down 7 units. See attached image.

Function g(x) is decreasing for all x \le -1.

5 0
3 years ago
Read 2 more answers
Find the slope of the line passing through (-8,6) and (6,6)
frosja888 [35]

Answer:

0

Step-by-step explanation:

6-6 equals 0 and -8 minus 6 equals -14 and 0 divided by equals 0

8 0
3 years ago
If the graph of the function f defined by
hoa [83]

Answer:

g(x) = 3x^2 + 3.

Step-by-step explanation:

f(x) = 3x^2 - 5.

First, the x-intercepts have to be calculated to determine the line of symmetry of f(x). For that, set f(x) = 0. Therefore:

3x^2 - 5 = 0.

x^2 = 5/3

x = 1.29 and x = -1.29. The midpoint of these two x-coordinates will be the line of symmetry, which is x = 0.

Therefore, if the graph is translated vertically upwards, it will move up the y-axis by the given amount. In this question, the amount is 8. Simply add 8 in f(x) to obtain g(x). Therefore:

g(x) = f(x) + 8.

g(x) = 3x^2 - 5 + 8.

g(x) = 3x^2 + 3.

Therefore, g(x) = 3x^2 + 3!!!

6 0
3 years ago
Other questions:
  • What is 6 2/3 x 2 1/2 if you answer you will get 35 poinst
    14·1 answer
  • How do u calculate these numbers from least to greatest 0.02, 0, 6.98, 2 1/16, 2.2, 6.89, 2.01
    5·1 answer
  • PLEASE HELP DUE TODAY
    10·2 answers
  • What would be the equation and answer for this problem!
    7·2 answers
  • Maricela needs to write instructions for how to construct a regular hexagon inscribed in a circle. She begins by writing the fol
    11·1 answer
  • Jeremiah opened a savings account with a one-time deposit of $500. His savings account will pay a 5% simple interest per year. H
    13·2 answers
  • What exactly is a root of a logarithmic function again?
    15·1 answer
  • The sum of three consecutive odd integers. what are the three integers
    15·2 answers
  • Which of the functions below have period pie check all that apply
    9·1 answer
  • A 45 kg skydiver has a speed of 25 m/s at an altitude of 950 meters above the ground. Determine the
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!