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
Dafna11 [192]
2 years ago
8

A rectangle is drawn so the width is 7 inches longer than the height. If the rectangle’s diagonal measurement is 13 inches, don’

t the height.

Mathematics
1 answer:
cupoosta [38]2 years ago
5 0

Answer:

The height of rectangle is 5 inches

Step-by-step explanation:

<u><em>The correct question is</em></u>

A rectangle is drawn so the width is 7 inches longer than the height. If the rectangle’s diagonal measurement is 13 inches, Find the height

Let

x -----> the width of the rectangle in inches

y ----> the height of the rectangle in inches

d ---> diagonal measurement of the rectangle in inches

we know that

Applying the Pythagorean Theorem

d^2=x^{2}+y^{2}

we have

d=13\ in

so

13^2=x^{2}+y^{2}

169=x^{2}+y^{2} ----> equation A

x=y+7 ---> equation B

substitute equation B in equation A

169=(y+7)^{2}+y^{2}

solve for y

169=y^2+14y+49+y^{2}

2y^2+14y+49-169=0

2y^2+14y-120=0

solve the quadratic equation by graphing

using a graphing tool

The solution is y=5

see the attached figure

therefore

The height of rectangle is 5 inches

You might be interested in
What’s is the value of the expression 7+[8-(1+9)]
Amanda [17]

Answer:

5

Step-by-step explanation:

7+(8-(1+9))

7+(8-10)

7+(-2)

7-2

5

4 0
3 years ago
Segment AB has endpoints A(–4, 6) and B(1, 4). After a dilation, centered at the origin, the image of A is (–6, 9). Without meas
Ksivusya [100]
With A and its image one can get the dilation factor;
That is dilation scale factor = -6/-4 or 9/6 = 3/2
Therefore, to get the image of B we multiply the coordinates of B by the dilation factor; 
(1,4) 3/2 = (1.5, 6)
Thus the image of B = (1.5,6)
4 0
3 years ago
Read 2 more answers
HELPPPP!!! and get brainliest!!!!!!! + 22 points
ella [17]

Answer:

Step-by-step explanation:

b/c the function goes thur the point (1,4) we know it's 4 times more than f(x) so g(x) = 4x^{2}

8 0
3 years ago
If a number increases from 47 to 70.5 what is the rate of increase?
FrozenT [24]
\frac{70.5-47}{47} \cdot100\%= \frac{23.5}{47} \cdot100\%= \frac{2350\%}{47} =50\%\\\\Ans.\ the\ rate\ of\ increase\ is\ 50\%
6 0
3 years ago
Read 2 more answers
PLS HELP ME PLS FOOKIN hELP ME
denpristay [2]

Answer:

14. 80/3

15. a. RS

b. Angle R

9. b.

10. x=7

11. Yes, there is a small difference in height in decimals

12. 1

13. 12/7

7 0
3 years ago
Read 2 more answers
Other questions:
  • Match the reasons with the statements given.
    8·2 answers
  • Write the ratio of corresponding sides for the similar triangles and reduce the ratio to lowest terms.
    7·1 answer
  • Find the distance between (-3, 3) and (-3, -3).
    8·2 answers
  • 8 + 5[(5 + 3)2 - (32 + 2)]
    15·2 answers
  • 6n = 3n + 27 please help
    7·2 answers
  • I NEED THIS ANSWER AAAAA
    7·1 answer
  • Write 81/45 in simplest form
    6·1 answer
  • Find the sum: 400 + 394 + 388 + .... - 32
    12·2 answers
  • A new car is purchased for 20700 dollars. The value of the car depreciates at 7.25% per year. To the nearest year, how long will
    14·1 answer
  • Plz plz plz help me no links but PLZ ANYTHING
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!