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agasfer [191]
3 years ago
10

Heather brought $7.14 to school. She then spent $1.08 to buy lunch. How much money does she have left?

Mathematics
2 answers:
Wewaii [24]3 years ago
5 0

Answer:

6.06

Step-by-step explanation:

Simple subtraction.

Maurinko [17]3 years ago
3 0

Answer:

$6.06

Step-by-step explanation:

If she started out with $7.14 and spent $1.08, you could calculate this by subtracting $1.08 from $7.14. If it helps, you can start by figuring out the cents first. 14 minus 8 would be 6. Then it'd be 7 minus 1 to be 6 as well for the dollars, so $6.06. Hope this helps!

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AD is a diameter of circle ABCDE . Angle BAC=22° & angle ADC=60°. AE and ED are parallel lines. Find the values of w, x,y,an
Svetach [21]

Answer:

x = 22°

w = 30°

y = 30°

z = 52°

Step-by-step explanation:

From ΔACD,

AD is the diameter and ∠ACD is the angle subtended by the diameter.

Therefore, m∠ACD = 90°

By triangle sum theorem,

m∠DAC + m∠ACD + m∠CDA = 180°

w° + 90° + 60° = 180°

w = 180 - 150

w = 30°

AB║ED and AD is a transversal line.

Therefore, m∠BAD = m∠ADE

(w + 22)° = z°

30 + 22 = z

z = 52°

Since, ∠CEB and ∠BAC are the inscribed angles subtended by the same arc BC,

Therefore, m∠CEB = m∠BAC

x = 22°

Similarly, ∠CED and ∠DAC are the inscribed angles subtended by the same arc CD,

m∠CED = m∠DAC = 30°

y = 30°

6 0
3 years ago
B ^ 2 - 4b - 14 = 0
Blizzard [7]
Simplifying
b2 + -4b + -14 = 0

Reorder the terms:
-14 + -4b + b2 = 0

Solving
-14 + -4b + b2 = 0

Solving for variable 'b'.

Begin completing the square.

Move the constant term to the right:

Add '14' to each side of the equation.
-14 + -4b + 14 + b2 = 0 + 14

Reorder the terms:
-14 + 14 + -4b + b2 = 0 + 14

Combine like terms: -14 + 14 = 0
0 + -4b + b2 = 0 + 14
-4b + b2 = 0 + 14

Combine like terms: 0 + 14 = 14
-4b + b2 = 14

The b term is -4b. Take half its coefficient (-2).
Square it (4) and add it to both sides.

Add '4' to each side of the equation.
-4b + 4 + b2 = 14 + 4

Reorder the terms:
4 + -4b + b2 = 14 + 4

Combine like terms: 14 + 4 = 18
4 + -4b + b2 = 18

Factor a perfect square on the left side:
(b + -2)(b + -2) = 18

Calculate the square root of the right side: 4.242640687

Break this problem into two subproblems by setting
(b + -2) equal to 4.242640687 and -4.242640687. b + -2 = 4.242640687

Simplifying
b + -2 = 4.242640687

Reorder the terms:
-2 + b = 4.242640687

Solving
-2 + b = 4.242640687

Solving for variable 'b'.

Move all terms containing b to the left, all other terms to the right.

Add '2' to each side of the equation.
-2 + 2 + b = 4.242640687 + 2

Combine like terms: -2 + 2 = 0
0 + b = 4.242640687 + 2
b = 4.242640687 + 2

Combine like terms: 4.242640687 + 2 = 6.242640687
b = 6.242640687
Simplifying
B = 6.242640687

Subproblem 2
b + -2 = -4.242640687

Simplifying
b + -2 = -4.242640687

Reorder the terms:
-2 + b = -4.242640687

Solving
-2 + b = -4.242640687

Solving for variable 'b'.

Move all terms containing b to the left, all other terms to the right.

Add '2' to each side of the equation.
-2 + 2 + b = -4.242640687 + 2

Combine like terms: -2 + 2 = 0
0 + b = -4.242640687 + 2
b = -4.242640687 + 2

Combine like terms: -4.242640687 + 2 = -2.242640687
b = -2.242640687

Simplifying
b = -2.242640687
3 0
3 years ago
Read 2 more answers
Find the measure of angle b
blondinia [14]

Answer:

130°

Step-by-step explanation:

a straight line is 180°

so you have

180°-50°= 130°

6 0
3 years ago
Read 2 more answers
A cone with diameter 18 millimeters and height 11 millimeters.
bogdanovich [222]

Hello! :)

<h2>Answer:</h2>

All of the following statements about the cone are true.

2.) The radius is 9 mm.

3.) The base area is calculated using the radius.

4.) The volume is one-third the volume of a cylinder with the same height and diameter.

5.) The volume of the cone is 297 pi millimeters cubed.

<h2>Explanation:</h2>

The radius is always half the diameter, which is why the first choice is false, and the second choice is true.

When calculating the base, you need to use the radius. This means the third choice is true. The formula for the base area is πr^{2}

Volume of the cone:

V = \frac{1}{3}πr^{2}h

  = \frac{1}{3} × π × 9^{2} × 11

  = 933.052233 mm²

Volume of a cylinder with the same height and diameter:

V = πr^{2}h

  = π × 81 × 11

  = 891π

  = 2799.15669 mm²

2799.15669 ÷ 3 = 933.052233

Option four is true.

297 × π = 933.05223 This is true.

4 0
3 years ago
Read 2 more answers
By the time shana had completed 3/8 of her first lap in a race, she had also completed 1/32 of the entire race. How many laps we
Yuri [45]
3/8 of a lap is 1/32 of the entire race.
x - the number of laps in the race

\frac{3}{8}=\frac{1}{32}x \\&#10;\frac{3}{8} \times 32=x \\&#10;3 \times 4=x \\&#10;x=12

There were 12 laps in the race.
3 0
3 years ago
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