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docker41 [41]
3 years ago
11

Problem PageQuestion A circle has a radius of . Find the radian measure of the central angle that intercepts an arc of length .

Do not round any intermediate computations, and round your answer to the nearest tenth
Mathematics
1 answer:
notsponge [240]3 years ago
8 0

Answer:

<h2><em>0.1π rad</em></h2>

Step-by-step explanation:

The question is incomplete. Here is the complete question.

A circle has a radius of 19m . Find the radian measure of the central angle θ that intercepts an arc of length 5m.  Do not round any intermediate computations, and round your answer to the nearest tenth.

The formula for calculating the length of an arc L = \frac{\theta}{360} * 2 \pi r

θ is the central angle

r is the radius of the circle = 19m

L is the length of an arc = 5m

Substitute the given values into the formula and get the central angle θ

5 = θ/360 * 2(22/7)*19

5 = θ/2π * 119.4285714

θ/2π = 5/119.4285714

θ/2π = 0.041866

θ = 2π*0.041866

θ = 0.083732π

θ = 0.1π rad (to the nearest tenth)

<em>Hence the radian measure of the central angle that intercepts an arc of length to the nearest tenth is 0.1π rad</em>

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Jade has 121,024 beads. 1/5 of them are glass beads, 1/10 of them are pony beads, and the rest of them are marbled beads. It tak
WARRIOR [948]
Jade can make 403 necklaces.

1/5 of 121024 = 1/5(121024) = 0.2(121024) = 24204.8 = 24204 glass beads
1/10 of 121024 = 1/10(121024) = 0.1(121024) = 12102.4 = 12102 pony beads

To find the number of marbled beads, we add the fraction of the other two kinds together:
1/5 + 1/10

We will use 10 as the denominator:
2/10 + 1/10 = 3/10

The fraction that the marbled beads represents will make up 100%, or the whole number 1:
1-3/10 = 7/10

7/10 of 121024 = 7/10(121024) = 0.7(121024) = 84716.8 = 84716 marbled beads

Since it takes 20 glass beads to make a necklace, we divide the number of glass beads, 24204, by 20:
24204/20 = 1210 necklaces

It takes 30 pony beads to make a necklace.  We divide the number of pony beads, 12102, by 30:
12102/30 = 403 necklaces

It takes 50 marbled beads to make a necklace.  We divide the number of marbled beads, 84716, by 50:
84716/50 = 1694 necklaces

We must go with the smallest number, in order to ensure we have enough beads; this means she can make 403 necklaces.
3 0
3 years ago
The equation y=6.72(1.014) x models the world population y , in billions of people, x years after the year 2000 . Find the year
Marizza181 [45]

the population will reach 8 billion by 2012 ,as calculated by properties of logarithm.

<h3>What is Logarithm?</h3>
  • The opposite of exponentiation is the logarithm.
  • This indicates that the exponent to which a fixed number, base b, must be raised in order to obtain a specific number x, is represented by the logarithm of that number.
  • A number's natural logarithm is its logarithm to the base of the transcendental and irrational number e, which is roughly equivalent to 2.718281828459.

Given:

  • y = 6.72 ( 1.014^x), where
  1. y = population in billions
  2. x = time in years

To find: Year when population is 8 billion, i.e., y = 8.

Finding:

8 = 6.72  ( 1.014^x)

=> \frac{8}{6.72}= ( 1.014^x)

Taking log on both sides

=> log(\frac{8}{6.72})= log( 1.014^x)

=> log(1.19) = x (log 1.014) (as log_b(a)^m = m (log_b(a)) )

=> \frac{log(1.19)}{log (1.014)} = x

=> x = \frac{0.0755}{0.006}

=> x = 12.58

Hence, the population will reach 8 billion by 2012 ,as calculated by properties of logarithm.

To learn more about logarithms, refer to the link: brainly.com/question/25710806

#SPJ4

5 0
1 year ago
Each cone of the hourglass has a height of 18 millimeters . the total height of the sand within the top portion of the hour glas
statuscvo [17]
Let

Vco------------------- >Volume cone
Vcy------------------ >Volume cylinder 
r= 8mm
hco----------- > height of cone=18 mm
hcy------------ > height of cylinder =54-18=36 mm

then

Vco=π*r² *hco/3--------- > π*8² *18/3=π*384 mm³
Vcy=π*r² *hcy--------- > π*8² *36=π*2304 mm³

the total cubic millimeters of sand=Vco+Vcy=π*384+π*2304=π*2688

if 10π cubic millimeters --------------------- > 1 seg
π*2688--------------------------------- X

X=π*2688/10π=268.8 seg

the answer is 268.8 seg
5 0
4 years ago
I have a 78.5% in my history class i have an exam of 52 questions how many questions do i need to get correct to keep a C averag
mrs_skeptik [129]
I think you'd have to get 41 questions right . But it also depends on the grading scale how many points do you get a question?

7 0
4 years ago
Solve for x
andrew11 [14]

Answer:

D

Step-by-step explanation:

For example,

5×7-10>20

5(-3)-10<15

4 0
3 years ago
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