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
netineya [11]
3 years ago
5

Solve each data for x: (a) a rectangle has (2x + 1) and (x +2) as length and width. Its area is 77 (b.) a triangle has (2x+2) an

d (x+3) as base and height. Its area is 35
Mathematics
1 answer:
Sergio039 [100]3 years ago
7 0
Area of a rectangle: A= Length*width
(2x+1)(x+2)=77
2x^2+4x+x+2=77
2x^2+5x+2=77
2x^2+5x-75=0
(x-5)(2x+15)=0
x=5 or x=-7.5
Length cannot be negative, so x=5 only
the length is 11, the width is 7
Next, let's look at the triangle.
Area of a triangle: A=1/2 of base*height
(1/2)(2x+2)(x+3)=35
2x^2+8x+6=70
2x^2+8x-64=0
x^2+4x-32=0
(x-4)(x+8)=0
x=4
the base is 10, the height is 7
You might be interested in
Two fifths of the children in the nursery were boys. What was the ratio of boys to girls in the nursery?
Shtirlitz [24]
The answer would be 2:3
6 0
4 years ago
Does anyone know how to do this please help me
Anit [1.1K]

Answer:

162°

Step-by-step explanation:

a circle has 360°, or the angle of a whole circle is that

so 45% of 360 =

0.45 times 360 = 162

7 0
3 years ago
What are the coordinates of point Q?
Fofino [41]

Answer:

(4, 2.5)

Step-by-step explanation:

4 0
3 years ago
Angie read 60 pages of a textbook in 2 hours. she turned on the tv and read 24 pages in 1 hour. angie’s average reading rate wit
jek_recluse [69]
Hello! So Angie reads 60 pages in 2 hours, without the TV on. 60/2 is 30. She reads 30 pages an hour without the TV on, and 24 pages with the TV off. To find the percent of her reading rate with the TV on instead of off, we can just divide both of the reading rates. 24/30 is 0.8. Multiply that by 100 and you get 80% in percent form. There. Angie's reading rate with the TV on is 80% of her reading rate with the TV off. The answer is B: 80%.
6 0
3 years ago
Read 2 more answers
X^ 3 +x^ 2 +4x/x^ 2 +x-2<br>into partial<br>fractions​
lawyer [7]

Answer:

x + (4/ x-2) + (2/ x-1)

Step-by-step explanation:

x + (6x/ x^2 + 2x - x -2)

x + (6x/ (x + 2) X (x - 1))

(6x/ (x + 2) X (x - 1))

(A/ x+2) + (B/ x-1)

(6x/ (x + 2) X (x - 1)) = (A/ x+2) + (B/ x-1)

6x = Ax + Bx - A + 2B

6x = (A+B)x + (-A+2b)

{0 = -A+2B

{6 = A+B

(A,B) = (4, 2)

(4/ x+2) + (2/ x-1)

x + (4/ x-2) + (2/ x-1)

6 0
3 years ago
Other questions:
  • Calling All Mathematicians Please Please Please Help On This Question!!!!!!!!!!!!!!
    10·1 answer
  • The lateral area of a cone is 612 pi the radius is 14.2 what is the slant height
    9·2 answers
  • When building the Channel, the English and French each started drilling on opposite sides of the English Channel. The two sectio
    11·1 answer
  • 0.1 is 10 times as much as
    10·2 answers
  • The value of 5^-3x2^-1
    8·2 answers
  • A plumber is installing dish washers in each 15 apartments. He needs 70 cm of tubing to connect each dishwashers to the water so
    8·2 answers
  • If the spin rate of the CD is 580 rpm what distance is traveled by the piece of dust (in radians) in 2.9 mins
    11·1 answer
  • Ill mark brainliest if correct
    15·2 answers
  • What does 28+87÷3⋅2^3 equal
    11·2 answers
  • Name three other common multiples of 8 and 12
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!