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
Lena [83]
3 years ago
14

A rectangle has an area of 384 m². The length and the width of the rectangle are changed by a scale factor of 0.75.

Mathematics
2 answers:
12345 [234]3 years ago
8 0
We are tasked to solve for the area of the new rectangle. The formula of solving area of the rectangle is A = width * length

Old triangle Area = 384 m² = w * l
New triangle Area we have:
Area = w * 0.75l
384 m² = w*0.75l
384 / 0.75 = w*l
288 m² = w*l

The answer is 288 m².
PolarNik [594]3 years ago
6 0

Answer:  216\ m^2

Step-by-step explanation:

A rectangle has an area of 384 m².

Let l and w are the length and the width of the original rectangle, such that the area of the rectangle is given by ;-

A=lw=384

The length and the width of the rectangle are changed by a scale factor of 0.75 will be:

l'=0.75l\\\\w'=0.75w

Now, the area of the new rectangle will be :

A=l'w'=0.75l\times0.75w\\\\=(0.75)^2(lw)\\\\=(0.5625)(384)=216\ m^2

Hence, the area of the new rectangle=216\ m^2

You might be interested in
I need help for this question please!!!!
Arisa [49]

Answer:

a. 35 degrees

b. 145 degrees

Step-by-step explanation:

a. Since the two base angles of this triangle are congruent, we can conclude that the triangle is <em>isosceles, </em>which means that the two base angles and sides are congruent.

Now, knowing that information, we can subtract 110 from 180 (the sum of all interior angles in a triangle) and we get 70. But this isn't our answer. This is the sum of both base angles. Since the base angles are congruent, we can divide the 70 by 2 to get the measure of ONE base angle, which is 35 degrees.

b. There are two approaches to solve this problem. I have worked both out.

1) We can use the Exterior Angle Theorem, which states that the sum of the interior angles is equal to the exterior angle. We can add 110 to 35, so we get 145 degrees as the measure of <1.

2) The second approach is supplementary angles. Since we see that one of the base angles and <1 is on the same line, we can subtract 35 from 180 to find the measure of <1 to get 145 degrees.

Either way you use, you get the correct answer. Hope this helped!

6 0
3 years ago
Which equation listed below, when solved, shows how to find the circumference of a circle if the diameter is 6 inches? Use 3.14
dangina [55]

Answer:

C = π(6)

C = 6π

C = 18.84

Step-by-step explanation:

The circumference is the distance around the circle. It relates the number of times the diameter will encircle the circumference as 3.14 or π. As a result, the formulas for the circumference of a circle are C = 2πr or C = πd. The information given is the diameter so use C = πd by substituting d = 6.

C = π(6)

C = 6π

C = 18.84

6 0
2 years ago
A line contains the two points plotted in the coordinate plane below.
Andrew [12]

Answer:

The slope would be 3.

Step-by-step explanation:

The formula for finding slope is \frac{y1-y2}{x1-x2}
We can plug these numbers into the equation by doing \frac{1--5}{2-0}
1--5 is equal to 1+5, which is 6.
2-0 is equal to 2.
\frac{6}{2} is 3, which is how you get your answer.
I hope this helps! :)

6 0
2 years ago
Rays BA and BC are perpendicular. Point D lies in the interior of ∠ABC. If m∠ABD=(3r+5)° and m∠DBC=(5r−27)°, find m∠ABD and m∠DB
padilas [110]

Answer:

m<ABD =1.6 rep

m<DBC= -5.4

8 0
3 years ago
Which algebraic expression can be used to calculate the number of tickets fernando can buy?
pentagon [3]
Domain f(x)=1 - 5/x^4
3 0
3 years ago
Other questions:
  • The Rodriguez family went to dinner at Pasta Palace. Mr. Rodriguez ordered a meal for $6.25; Mrs. R ordered a meal for $7.50; th
    5·1 answer
  • leo takes 30 minutes to eat dinner 15 minutes to change clothes and 20 minutes to walk to practice.if leo needs to be at hockey
    6·2 answers
  • What function is graphed below?
    7·1 answer
  • Which of the following is a solution of x2 − 6x = –22?
    7·2 answers
  • Below are 36 sorted ages of an acting award winner. find the percentile corresponding to age 3838 using the method presented in
    15·1 answer
  • (19 + 2) x 11 + 3 hhhh
    10·2 answers
  • Helllllllllllilllllyyeneyneyn
    11·1 answer
  • The hypotenuse of a 30 -60 -90 triangle is 13cm. What is the length of the shorter leg?
    8·1 answer
  • Elise and her younger brother, Reid, take turns loading the dishwasher after dinner. Because she is older, Elise loads the dishw
    11·1 answer
  • Point H is the circumcenter of triangle JKL.
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!