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
anyanavicka [17]
2 years ago
7

A carpenter is putting a skylight in a roof. If the roof measures 10 + 8 by 8 + 6 and the skylight measures + 5 by 3 + 4, what i

s the area of the remaining roof after the skylight is built?
a. 77^2 + 115 + 68
b. 77^2 + 105 + 28
c. 83^2 + 115 + 68
d. 77^2 − 105 + 28
Mathematics
1 answer:
Usimov [2.4K]2 years ago
3 0

Answer:

The area is: 77x^2 + 105x + 28, option b.

Step-by-step explanation:

Rectangular area:

The area of a rectangular space is given bt the multiplication of its measures.

Area of the roof:

Dimensions of 10x + 8 and 8x + 6. So

A_{r} = (10x+8)(8x+6) = 80x^2 + 60x + 64x + 48 = 80x^2 + 124x + 48

Area of the skylight:

Dimensions of x + 5 and 3x + 4. So

A_{s} = (x+5)(3x+4) = 3x^2+4x+15x+20 = 3x^2 + 19x + 20

What is the area of the remaining roof after the skylight is built?

Total subtracted by the skylight, which is a subtraction of a polynomial, in which we subtract the like terms. So

A_{r} - A_{s} = 80x^2 + 124x + 48 - (3x^2 + 19x + 20) = 80x^2 - 3x^2 + 124x - 19x + 48 - 20 = 77x^2 + 105x + 28

The area is: 77x^2 + 105x + 28, option b.

You might be interested in
The area of the parallelogram below is ____ square meters.
insens350 [35]

Answer:

Step-by-step explanation:

The formula for finding the area of a parallelogram is the same for finding the area of a rectangle/square. So basically:

6 × 8 = 48

The area of the parallelogram is 48

Hope this helps!

Have a nice day!

If you find my answer helpful

<em>Pls consider marking my answer as </em><em>Brainliest</em><em>! It would mean a lot!</em>

3 0
2 years ago
Helppp needed ( answer quickly)
ale4655 [162]

Answer:

C. 57

Step-by-step explanation:

all triangles add up to 180. the tick marks show that ∠D and ∠ E are congruent so you do this and solve for x:

(4x + 1) + (4x + 1) + (5x - 4) = 180

13x - 2 = 180

13x = 182

x = 182/13

x = 14

4(14) + 1 = 57

3 0
3 years ago
Jesse wants to build a wooden chest with a volume os 8,100 cubic inches. the length will be 30 inches and the width will be 15 i
Veronika [31]
30x15=450 so 450x18 will =8,100
It is 18 inches
4 0
3 years ago
A wise man once said, “500 reduced by 4 times my age is 256.” What is his age
ch4aika [34]
The answer to this question is 2.048
5 0
3 years ago
Read 2 more answers
Felipe trabaja en una construcción ayuda a cotizar materiales entre ellos cables para diversos propósitos el arquitecto le pidió
valina [46]

Answer:

a) 0.64mm

b) 7/25

Step-by-step explanation:

Felipe trabaja en una construcción ayuda a cotizar materiales entre ellos cables para diversos propósitos.El arquitecto le pidió cotizar un cable de 16/25 mm de diámetro. en los catálogos disponibles en as tiendas las medidas aparecen expresadas en números decimales como se muestra en la imagen

¿Que debe hacer felipe para saber el diámetro del cable que pidió el arquitecto?

¿que medida en forma de fracción le corresponde al cable que mide 0.28? ¿como lo determinaste? es urgenteeee GRACIAS

a)Para que obtengamos la medida del material expresada como decimal, usaremos el método de división larga. compruebe el archivo adjunto para la solución a la división.

16/25 mm = 0,64 mm

b) La medida fraccionaria corresponde al cable que mide 0.28 se expresa como se muestra. Convertir 0,28 a fracción.

0.28 = 28/100 (Tenga en cuenta que dividimos por 100 porque hay dos valores decimales después del punto decimal)

Sobre la simplificación en su término más bajo

0.28 = 28/100 = 2*14/2*50

0.28 = 28/100 = 14/50

simplificando aún más

0.28 = 14/50 = 2*7/2*25

0.28 = 14/50 = 7/25

28/100 = 7/25

Por lo tanto, la medida fraccionaria que corresponde al cable que mide 0.28 es 7/25.

8 0
2 years ago
Other questions:
  • I know this isnt school related, but is there a bio you can put on your profile?
    5·1 answer
  • the sum of the digits of a two digit number is 9. if the digits were reversed, the new number would be 9 more than the original
    7·2 answers
  • What is 87.6 rounded to the nearest one?
    6·2 answers
  • Cual es la formula para calcular el volumen de un romboide?
    13·1 answer
  • Find the sale price of each item. Round to two decimal places when necessary.
    10·1 answer
  • When Emma was born she was 20.5 inches long. At her 6-month checkup, she was 26.25 inches long. Emma's length . Percent Change =
    12·3 answers
  • Yolanda drove 315 miles in 5 hours.
    9·1 answer
  • What is the value of z?
    12·2 answers
  • Determine another point on the line given two points on the line.<br> (0,5), (4,1)
    6·2 answers
  • I need help quickly, I'm preparing for a test! Help is appreciated!
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!