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3 years ago

Abby is painting two cubes for an art project.

Mathematics

2 answers:

sp2606 [1]3 years ago

4 0

Answer:

54 sq ft, 24 sq ft, 78 sq ft

Step-by-step explanation:

1. Each side of cube 1 is 3 feet x 3 feet, so each side has an area of 9 square feet. Multiply by 6 sides and the area is 54 square feet.

2. Each side is 2 feet x 2 feet so the area of one side is 4 square feet. Multiply by 6 sides and the area is 24 square feet.

3. 54 + 24 = 78 square feet

SSSSS [86.1K]3 years ago

3 0

6 I am most definitely wrong

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In the summer term sal wlks to school starting soon after 7 am when the hour hand is at angle of 110 degrees to the minute hand.

Solnce55 [7]

Answer:

She walked for 46 minutes

Step-by-step explanation:

Given

When she leaves home

$h = 7am$

$\theta_1 = 110^o$

When she arrives at school

$H = 8am$

$\theta_2 = 110^o$

Required

Time to walk to school

First, we convert $\theta_1 = 110^o$ to minutes:

$\theta_1 = \frac{110}{6}$

$\theta_1 = 18.33$

$\theta_1 = 18$ --- approximated

From the question, we understand that she left home past 7.

This means that the difference between the hour hand (at 7) and the minutes hand is 18 minutes.

Also, the minute hand is between 0 and 30 minutes

Subtract 18 minutes from 30 minutes;

$Mins = 30-18=12$

She left home at 7:12am

Similarly;

$\theta_2 = \theta_1 = 18\ mins$

From the question, we understand that she arrived before 8.

This means that the difference between the hour hand (at 8) and the minutes hand is 18 minutes

Also, the minute hand is between 30 and 60 minutes mark.

At the 8hour hand, the minutes is 40

Add 18 minutes from 40 minutes;

$Mins = 40 + 18 = 58$

She arrived at 7:58am

The difference (d) is:

$d =7:58am - 7:12am$

$d =46$

4 0

3 years ago

Berto has $12 to put gas in his car. If gas costs $3.75 per gallon, which ordered pair relating number of gallons of gas, x, to

rodikova [14]

15 dollars add 12 add 3 and it 15

8 0

4 years ago

Read 2 more answers

Solve x^2 - 4x - 7 = 0 by completing the square. What are the solutions?

sergejj [24]

Answer:

x = ±√11 +2

Step-by-step explanation:

Given in the question an equation,

x²- 4x - 7 = 0

Step 1

take 7 to the right side of equation

x²- 4x = 7

Step 2

To create a trinomial square on the left side of the equation, find a value that is equal to the square of half of b, the coefficient of x

2ab = -4x

2xb = -4x

b = -2

Step 3

Take square of b and add it to each side of the equation.

x²- 4x + (-2)²= 7 + (-2)²

x²- 4x + 4 = 7 + 4

x²- 4x + 4 = 11

Step 4

Factor the perfect trinomial square

(x−2)² = 11

Step 5

take square root on both sides

√(x−2)² = √11

(x-2) = ±√11

x = ±√11 +2

8 0

4 years ago

Read 2 more answers

A customer wants rhombus-shaped tiles for his countertops. The height is 3 inches and the area of each tile is 21.6 in.2. What i

julsineya [31]

The length of each side of the tiles is 7.2 in

Explanation:

Given:

Height of the tile, h = 3 in

Area of each tile, A = 21.6 in²

Length of each side, a = ?

We know:

A rhombus is a type of quadrilateral whose opposite sides are parallel and equal.Also, the opposite angles of a rhombus are equal and the diagonal intersect each other perpendicularly.

To find the area of a rhombus when the measures of its height and side length are given, use the formula

A = Base X height

21.6 in² = a X 3 in

a = 7.2 in

Therefore, the length of each side of the tiles is 7.2 in

3 0

4 years ago

How old am lif 500 reduced by 3 times my age is 350?

nordsb [41]

50

Age - x
500 - 3x = 350
3x = 150
x=50

5 0

3 years ago