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3 years ago

What is the radius of a circle if the diameter is 100 meters

Mathematics

2 answers:

olga_2 [115]3 years ago

7 0

Answer:

50m

Step-by-step explanation:

The radius is half of the diameter, so to find it, divide the diameter by 2.

radius=diameter/2

radius=100m/2

radius=50m

The radius is therefore 50m

Anvisha [2.4K]3 years ago

5 0

Answer:

50 Meters!

Step-by-step explanation:

Radius is always half of the diameter. Therefore, dividing 100 by 2 should get you your answer of 50 meters. Always remember the units!

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Machine A produces bolts at a uniform rate of 120 every 40 seconds, and Machine B produces bolts at a uniform rate of 100 every

Nutka1998 [239]

Answer:

25 seconds

Step-by-step explanation:

Hi there!

In order to answer this question, first we need to know how many bolts per second are produced by each machine, this can be known by dividing the number of bolts by the time it takes.

For machine A:

$A = \frac{120 bolts}{40 s}= 3 \frac{bolts}{s}$

For machine B:

$B = \frac{100 bolts}{20 s}= 5 \frac{bolts}{s}$

So, if the two machines run simultaneously, we will have a rate of prodcution of bolts equal to the sum of both:

$A+B=(3+5)\frac{bolts}{s}=8\frac{bolts}{s}$

Now, we need to know how much time it will take to producee 200 bolts, to find this out we need to divide the amount of bolts by the production rate:

$t = \frac{bolts}{ProductionRate}= \frac{200 bolts}{8 \frac{bolts}{s} }$

The <em>bolts</em> unit cancell each other and we are left with <em>seconds</em>

$t = \frac{200}{8} s = 25 s$

So it will take 25 seconds to produce 200 bolts with machine A and B running simultaneously.

Greetings!

4 0

3 years ago

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A car traveling 118 miles uses 4 gallons of gas. At the rate, how many gallons will it use traveling 227 miles?

sashaice [31]

Answer:

b.7.69

Step-by-step explanation:

188/4=29.5

29.5 gal per mile

227/29.5=7.69

8 0

2 years ago

Which statement is true

Eva8 [605]

Answer:

3/6 = 4/8

Step-by-step explanation:

they're both halves

8 0

3 years ago

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Joe has 21 pounds of clay. He needs 5 1/4 pounds of clay to make one piece of pottery. How many pieces of pottery can he make?

Vikentia [17]

He can make 4 pieces

5 0

3 years ago

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What is the vertex of the graph of y + 2x + 3 = –(x + 2)2 + 1? (–3, –33) (–3, 3) (3, –24) (3, 21)

Arte-miy333 [17]

ANSWER

(-3,3)

EXPLANATION

The given function is

$y + 2x + 3 = - (x + 2) ^{2} + 1$

Expand

$y + 2x + 3 = - x ^{2} - 4x - 4 + 1$

Rewrite in the form:

$y =a {x}^{2} + bx + c$

This implies that,

$y = - x ^{2} - 4x - 2 x - 4 + 1 - 3$

$y = - {x}^{2} - 6x - 6$

Complete the square to get,

$y = - ( {x}^{2} + 6x) - 6$

$y = - ( {x}^{2} + 6x + {(3)}^{2} ) - - {(3)}^{2} - 6$

$y = - {(x + 3)}^{2} +9 - 6$

$y = - {(x + 3)}^{2} +3$

The function is now in the form:

$y = a {(x - h)}^{2} +k$

where (h,k) =(-3,3) is the vertex

8 0

3 years ago

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