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nadezda [96]
3 years ago
14

A circle is centered at the vertex of an angle, and the angle's rays subtend an arc that is 86 cm long. 1/360th of the circumfer

ence of the circle is 0.5 cm long. What is the measure of this angle in degrees?
Mathematics
2 answers:
rewona [7]3 years ago
6 0

Answer:

Therefore the measure of this angle is =(\frac{43}{90} )^\circ

Step-by-step explanation:

Given, a circle is centered at the vertex of an angle  and the angle's rays subtend an arc that is 86 cm long.

0.5 cm arc make an angle \frac{1}{360}

1 cm arc make an angle \frac{1}{360\times 0.5}

86 cm arc make an angle \frac{86}{360\times 0.5}

                                         =(\frac{43}{90} )^\circ

Therefore the measure of this angle is =(\frac{43}{90} )^\circ

nataly862011 [7]3 years ago
3 0

Answer:

its 4.5 if u have the usa test prep one

Step-by-step explanation:

i just did it and its correct :)

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College students average 8.6 hours of sleep per night with a standard deviation of 35 minutes. If the amount of sleep is normall
Soloha48 [4]

Answer:

4.27%

Step-by-step explanation:

We have been given that college students average 8.6 hours of sleep per night with a standard deviation of 35 minutes. We are asked to find the probability of college students that sleep for more than 9.6 hours.

We will use z-score formula to solve our given problem.

z=\frac{x-\mu}{\sigma}

z = z-score,

x = Random sample score,

\mu = Mean,

\sigma = Standard deviation.

Before substituting our given values in z-score formula, we need to convert 35 minutes to hours.

35\text{ min}=0.58\text{ Hour}

z=\frac{9.6-8.6}{0.58}

z=\frac{1}{0.58}

z=1.72

Now, we need to find P(z>1.72).

Using formula P(z>a)=1-P(z, we will get:

P(z>1.72)=1-P(z

Using normal distribution table, we will get:

P(z>1.72)=1-0.95728

P(z>1.72)=0.04272

0.04272\times 100\%=4.272\%

Therefore, 4.27% of college students sleep for more than 9.6 hours.

7 0
3 years ago
Marlene went shopping and bought a bunch of candy for her swim team. She bought packs of Skittles for $1.50 each and packs of M&
lord [1]

Answer:

18 Skittles

6 M&Ms

Step-by-step explanation:

Set up an equation:

Variable x = number of skittles

Variable y = number of M&Ms

1.50x + 2y = 39

x + y = 24

In the second equation, isolate a variable:

x = 24 - y

Substitute the value of x for 24 - y in the first equation:

1.50(24 - y) + 2y = 39

Use distributive property

36 - 1.5y + 2y = 39

Combine like terms

36 + 0.5y = 39

Isolate variable y:

0.5y = 3

y = 6

Substitute the value of y for 6 in the second equation:

x + 6 = 24

Isolate variable x:

x = 18

Plug these values into any equation of your choice to see if these values are correct (I'll do both equations just to prove it):

1.50(18) + 2(6) = 39

27 + 12 = 39

39 = 39

Correct

x + y = 24

18 + 6 = 24

24 = 24

Correct

8 0
2 years ago
Nick gets out of school at 2:25 pm he has a 15min ride home on the bus then goes on a 30 min bike ride then spends 55 min doing
klasskru [66]
Your answer to the question would be 4:05.
6 0
2 years ago
"write an expression that evaluates to true if the value of the integer variable x is divisible (with no remainder) by the integ
AysviL [449]

Solution:

As we have to write an expression , which evaluates to true if the value of the integer variable x is divisible (with no remainder) by the integer variable y, y≠0.

so, when x is divided by y we should get remainder as 0.

Using Euclid division lemma

x= y* q + m, i.e when an integer x is divided by y gives quotient q and remainder m.

Here , m=0

So, x = q * y

So, the expression which describes the above relationship is ,

\frac{x}{y}=q, where q is Quotient.


8 0
3 years ago
Read 2 more answers
In triangle △ABC, ∠ABC=90°,
makvit [3.9K]
<h3>Answer: As a fraction, HC is 21/4 units long</h3><h3>In decimal form, HC is 5.25 units long.</h3>

==============================================

Work Shown:

Let x = HC and y = BH

AH = 12-x since AH = 12-HC and x = HC

---------------

See the attached drawing below. The altitude BH forms three similar triangles which makes the proportion below possible

HC/BH = BH/AH

x/y = y/(12-x) ... substitution

x(12-x) = y^2 ... cross multiply

y^2 = -x^2+12x

note how I isolated y^2 instead of y. We will use this equation later.

---------------

Focus on triangle AHB. Use the pythagorean theorem

(BH)^2 + (AH)^2 = (AB)^2

(y)^2 + (12-x)^2 = (9)^2

y^2 + 144-24x+x^2 = 81

-x^2+12x + 144-24x+x^2 = 81 ... replace y^2 with -x^2+12x

-x^2+12x + 144-24x+x^2-81 = 0

-12x + 63 = 0

-12x = -63

x = -63/(-12)

x = 5.25 <<-- answer in decimal form

x = 5 + 0.25

x = 5 + 1/4

x = 20/4 + 1/4

x = 21/4 <<-- answer as a fraction

3 0
3 years ago
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