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satela [25.4K]
3 years ago
12

Round each to the place of the underlined digit. (1). 32.65 (The 6 is underlined), (2). 3.246 (The 4 is underlined), (3). 4.073

(The 0 is underlined), (4). 0.424 (The 2 is underlined), (5). 6.099 (The 0 is underlined),(6). 6.13 (The 1 is underlined), (7). 183.92 (The 3 is underlined), (8). 905.255 (The 5 next to the 2 on the right is underlined).
Mathematics
1 answer:
Roman55 [17]3 years ago
8 0
1. 32.66
2.3.25
3.4.103
4.0.42
5.6.109
6.6.1
7.184.02
8.905.26
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In the diagram, the radius of the outer circle is
JulijaS [17]

the value of x is 8 cm.

<u>Step-by-step explanation:</u>

Correct Question : In the diagram, the radius of the outer circle is 2x cm and the radius of the inside circle is 6 cm. The area of the shaded region is 220π cm2. What is the value of x? Enter your answer in the box.

We have ,

the area of a circle =  πr²

the outer circle area = \pi(2x)^2 =4\pi x^2

the inside circle area = \pi (6)^2= 36\pi

According to Question,

the outer circle area - the inside circle area = he shaded region

⇒ \pi (4x^2)-36\pi =220\pi

⇒ x^2-9 =55

⇒ x^2=64

⇒x =\sqrt{64}=8

Therefore , the value of x is 8 cm.

5 0
3 years ago
Carlos jogged 5 laps around the school track in 8 minutes. What was his average speed in laps per minute? lap(s) per minute PLEA
aleksklad [387]

Answer:

To solve this problem, you would create two ratios and make them equal to each other, both representing laps:minute or laps/minute! With that being said, laps will be in the numerator, or on top, and minutes will be in the denominator, or the bottom! The first ratio, which we know from the problem, will be 5/8. In order to write the second ratio, we need to come up with something to put in place for what we're solving for. I like to use x. So, we need to find how many laps (x) are run in 1 minute. Remember, laps are on top and minutes are on the bottom. The second ratio would look like x/1. Then we make them equal to each other -> 5/8=x/1. You would then solve this equation by multiplying the right side of the equation by the reciprocal of the denominator! So, it would be 1/1(5/8)=x. Because then multiple the numerators and the denominators -> 1(5)=5 and 1(8)=8! This makes the equation turn into x=5/8! Because x equals the number of laps run in one minute, we can say that Ricky ran 5/8 of a lap in one minute or 0.625 laps in one minute!

Step-by-step explanation:

5 0
3 years ago
Calculate the mass of a liquid with a density of .7892 g/mL and a volume of 121.0 mL.
nataly862011 [7]

Answer:

95.49 g

Step-by-step explanation:

D = m/v

Looking for mass so isolate m to form equation format

D × V = m

Plug in numbers

.7892g/mL × 121.0 mL = 95.4932 g

Only g and not g/mL because the mL cancels each other out. It's easier to see if you rewrite it on paper.

Round to sig figs

Both original numbers hold 4 sig figs

95.49 g

5 0
4 years ago
Please I need help of this one :)
Harlamova29_29 [7]

Answer:

128.605 m²

Step-by-step explanation:

Find the areas of the top triangle, and the bottom triangle and add them together.

The top triangle consists of 2 smaller triangles.  Look at the larger one, the height is 4.93 and the base is 17.  The area is...

A = (1/2)(17)(4.93)

   A = 41.905 m²

The bottom triangle consists of 2 smaller triangles.  Look at the larger one, the height is 10.2 and the base is 17.   The area is...

A = (1/2)(17)(10.2)

  A = 86.7 m²

The total area is 41.905 m² + 86.7 m² = 128.605 m²

5 0
3 years ago
(-7x+8y-2z)+(-9x-y+6z)​
Svetach [21]

Answer: the answer is -16x+7y+4z

Step-by-step explanation:

3 0
4 years ago
Read 2 more answers
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