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Degger [83]
3 years ago
8

A cup has a circumference of 28 cm. Approximately what is the diameter?

Mathematics
1 answer:
Ainat [17]3 years ago
7 0

Answer:

The diameter is approximately 8.9 cm

Step-by-step explanation:

The circumference is given by

C = pi *d

28 = pi *d

Divide each side by pi

28/pi = d

We can approximate pi by 3.14

28 /3.14 =d

8.917 = d

The diameter is approximately 8.9 cm

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Solve for X. Each figure is a parallelogram.
vichka [17]

Answer:

1. x = 8

2. x = 3

3. x = 25

4. x = 6

5. x = 11

6. x = 3

7. x = 6

8. x = 10

Step-by-step explanation:

Since the opposite sides of a parallelogram are congruent, the length of segment QR is equal to the length of segment PS.

10 = -6 + 2x

Add 6 to each side

10 + 6 = -6 + 6 + 2x

Simplify each side

16 = 2x

Divide both sides by 2

16/2 = 2x/2

Simplify

x = 8

to check if x is correct:

you already know that  segment QR is 10, so your answer needs to be equal to 10

so sement PS is -6x + 2x

-6 + 2x

= -6 + 2(8)

= -6 + 16

= 10

so PS = 10

2. 34x + 5 = 35x + 2

Step 1: Subtract 35x from both sides.

34x + 5 − 35x = 35x + 2 − 35x

−x + 5 = 2

Step 2: Subtract 5 from both sides.

−x + 5 − 5 = 2 − 5

−x = −3

Step 3: Divide both sides by -1.

-x/-1 = -3/-1

Step 4: Simplify

x = 3

3.

115 = 2x + 65

Step 1: Flip the equation.

2x + 65 = 115

Step 2: Subtract 65 from both sides.

2x + 65 − 65 = 115 − 65

2x = 50

Step 3: Divide both sides by 2.

2x/2 = 50/2

x = 25

4.

84 + 16x = 180

84 - 84 + 16x = 180 - 84

16x = 96

16x/16 = 96/16

x = 6

5.

2(3x − 10) = 46

Step 1: Simplify both sides of the equation.

2(3x − 10) = 46

(2)(3x) + (2)(−10 )= 46(Distribute)

6x + −20 = 46

6x − 20 = 46

Step 2: Add 20 to both sides.

6x − 20 + 20 = 46 + 20

6x = 66

Step 3: Divide both sides by 6.

6x/6 = 66/6

x = 11

6. RH = 1/2 FH or RH = 2 × FH

Step 1: Simplify both sides of the equation.

(2)(12)=13x−2

24=13x+−2

24=13x−2

Step 2: Flip the equation.

13x−2=24

Step 3: Add 2 to both sides.

13x−2+2=24+2

13x=26

Step 4: Divide both sides by 13.

13x/13 = 26/13

x = 3

7.

2x+2=3x−4

Step 1: Subtract 3x from both sides.

2x+2−3x=3x−4−3x

−x+2=−4

Step 2: Subtract 2 from both sides.

−x+2−2=−4−2

−x=−6

Step 3: Divide both sides by -1.

-x/-1 = -6/-1

x = 6

8.

2(2x−6)=28

Step 1: Simplify both sides of the equation.

2(2x−6)=28

(2)(2x)+(2)(−6)=28(Distribute)

4x+−12=28

4x−12=28

Step 2: Add 12 to both sides.

4x−12+12=28+12

4x=40

Step 3: Divide both sides by 4.

4x/4 = 40/4

x = 10

7 0
2 years ago
Does anyone know this?
seropon [69]

Answer:

-124

Step-by-step explanation:

The equation for a discriminant is:

b^{2} -4ac

So for

7x^{2} -4x +5=0

a = 7         b = - 4          c = 5

Plug values into the equation.

(-4)^{2} -4(7)(5)

16 - 140 = -124

3 0
3 years ago
Read 2 more answers
A line and a point not on the line lie in exactly one plane. True False
Paraphin [41]
True, they exist in exactly one plane
7 0
3 years ago
Read 2 more answers
If
ioda

Answer:

B a b i e s

Step-by-step explanation:

It makes it goody

6 0
3 years ago
Read 2 more answers
What point is a solution to the inequality shown in this graph
8090 [49]

Answer: A

Step-by-step explanation:

The solution to the graph of inequality given above is the shaded portion or the shaded part of the graph.

Since the point ( -3, -3) and ( 3, -1 ) are on the point line, and the line is a broken line, the inequality means greater than. That means that solution must be greater than those point. They are therefore not part of the solution.

Point ( 5, -5), where x = 5 and y = -5, according to the graph, the shaded portion does not cover y at -5.

Option C is therefore the correct answer which is within the shaded portion. (1, 5)

7 0
3 years ago
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