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Afina-wow [57]
3 years ago
10

Zoe's mom is carpeting her room and needs to know the amount of floor space how many square feet of carpeting are needed for the

room if she is also installing baseboards on the bottom of the walls how many feet of baseboards are needed

Mathematics
2 answers:
Radda [10]3 years ago
6 0
The complete question in the attached figure

we know that
[Area of her bedroom]=[11*10]+[12*8/2]+[10*6]------> 218 ft²

the answer Part A) is
Are needed 218 ft² of carpeting for the room

 [perimeter of her bedroom]=[11+10+11]+[12]+[6+10+6]+[8]-------> 74 ft

the answer Part B) is
Are needed 74 ft <span>of baseboards</span> for the room

Likurg_2 [28]3 years ago
5 0

Answer:

She will need 218 square feet of carpeting and 66 feet of baseboards.

Step-by-step explanation:

a) Zoe's mom room is formed by three figures: 2 rectangles and 1 triangle.

We will calculate the area of each of these figures and then add them up:

Area of rectangle 1 = (10) (11) = 110

Area of triangle = (12)(8)/2 = 96 / 2 = 48

Area of rectangle 2 = (6)(10) = 60

Total areas = 110 + 48 +60 = 218 square feet.

b) To know how many feet of baseboards she will need we need the perimeter of the room, we're going to sum up all the sides of the room:

Perimeter: 10 + 11 + 12 + 6 + 10 + 6 + 11 = 66 feet.

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Da answer is cCbecause it is
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I need help i dont know what to do
vladimir1956 [14]

9514 1404 393

Answer:

  ∠CAB = 28°

  ∠DAC = 64°

Step-by-step explanation:

What you do in each case is make use of the relationships you know about angles in a triangle and around parallel lines. You can also use the relationships you know about diagonals in a rectangle, and the triangles they create.

<u>Left</u>

Take advantage of the fact that ∆AEB is isosceles, so the angles at A and B in that triangle are the same. If we call that angle measure x, then we have the sum of angles in that triangle is ...

  x + x + ∠AEB = 180°

  2x = 180° -124° = 56°

  x = 28°

The measure of angle CAB is 28°.

__

<u>Right</u>

Sides AD and BC are parallel, so diagonal AC can be considered a transversal. The two angles we're concerned with are alternate interior angles, so are congruent.

  ∠BCA = ∠DAC = 64°

The measure of angle DAC is 64°.

(Another way to look at this is that triangles BCE and DAE are congruent isosceles triangles, so corresponding angles are congruent.)

8 0
3 years ago
The prism shown has a volume of 798 cm3.
a_sh-v [17]

Answer:

10.5 cm

Step-by-step explanation:

Volume = base area × height

798 = (9.5 × 8) × height

height = 798/76

height = 10.5

4 0
3 years ago
Find the surface area of each figure (spheres and hemispheres)
xenn [34]

Answer:

7. 1520.53 cm²

8. 232.35 ft²

9. 706.86 m²

10. 4,156.32 mm²

11. 780.46 m²

12. 1,847.25 mi²

Step-by-step explanation:

Recall:

Surface area of sphere = 4πr²

Surface area of hemisphere = 2πr² + πr²

7. r = 11 cm

Plug in the value into the appropriate formula

Surface area of the sphere = 4*π*11² = 1520.53 cm² (nearest tenth)

8. r = ½(8.6) = 4.3 ft

Plug in the value into the appropriate formula

Surface area of the sphere = 4*π*4.3² = 232.35 ft² (nearest tenth)

9. r = ½(15) = 7.5 m

Surface area of the sphere = 4*π*7.5² = 706.86 m² (nearest tenth)

10. r = ½(42) = 21 mm

Plug in the value into the formula

Surface area of hemisphere = 2*π*21² + π*21² = 2,770.88 + 1,385.44

= 4,156.32 mm²

11. r = 9.1 m

Plug in the value into the formula

Surface area of hemisphere = 2*π*9.1² + π*9.1² = 520.31 + 260.15

= 780.46 m²

12. r = 14 mi

Plug in the value into the formula

Surface area of hemisphere = 2*π*14² + π*14² = 1,231.50 + 615.75

= 1,847.25 mi²

8 0
3 years ago
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