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maxonik [38]
3 years ago
7

Amanda rides her bike east for 10 km. Angela rides her bike 20 degrees south of east 12 km. How far apart are they? Round to the

nearest tenth
Mathematics
1 answer:
Arada [10]3 years ago
6 0

Answer:

4.3\ km

Step-by-step explanation:

we know that

Applying the law of cosines

c^{2}=a^{2}+b^{2}-2(a)(b)cos(C)

we have

c-----> is the distance between Amanda and Angela

a=10\ km

b=12\ km

C=20\°

substitute the values

c^{2}=10^{2}+12^{2}-2(10)(12)cos(20\°)

c^{2}=18.4738

c=4.3\ km

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The owner of a small store buys coats for ​$55.00 each. Answer parts a and b. a. She sells the coats for ​$99.00 each. What perc
scoundrel [369]

Answer:

180% ; 5

Step-by-step explanation:

Purchase price per coat = 55

Sales price per coat = 99

% of purchase price is sales price :

X% * 55 = 99

(x / 100) * 55 = 99

0.01x * 55 = 99

0.55x = 99

x = 99 / 0.55

x = 180

180% of purchase price

B.)

180% * 45 = 81 per jacket

Number of jackets to sell to make atleast $390 in sales

$390 / $81 = 4.8

Hence, 5 jackets

3 0
3 years ago
A student randomly draws a card from a standard deck and checks to see if it is his favorite suit he then returned to card to th
tensa zangetsu [6.8K]

Answer:

The binomial probability formula can not be used for this experiment because it does not state the number of times he expects to draw his favorite suit.  

Step-by-step explanation:

The binomial probability formula is expressed as follows:

P (k success in n trials) = \left \{ {{n \atop k} \right. p^{k}q^{n-k}

n = number of trials, k = number of successes, n-k = number of failures, p = probability of success in one trial and q = 1 - p = probability of failure in one trial.  

In the given problem, all of the variables are known except for 'k', the amount of times that the student predicts he will draw his favorite suit.  

8 0
3 years ago
For a special order, The ABC company manufactured 400 shirts. Sweatshirts were priced at $35 each and T-shirts at $25 each. The
hodyreva [135]

Answer:

Thy bought 150 Sweatshirts (x) and 250 tshirts (y)

Step-by-step explanation:

35x + 25y = 11500

x + y = 400

-25 (x + y = 400) Multiply by -25 to get the y's to disappear when you add the two equations together

-25x - 25y = 10000

<u> 35x + 25y = 11500   </u>

10x =1500

x = 150

Plug 150 in either equation for x to find y

150 + y = 400

y = 250

6 0
3 years ago
Use the substitution method to solve the following system of equations: 3x + 5y = 3 x + 2y = 0 (1 point) (1, 1) (6, −3) (6, 1) (
PtichkaEL [24]

Step-by-step explanation:

Given.

3x+5y=3

x+2y=0

Take the second equation and subtract 2y to both sides.

(x+2y)-2y=0-2y

x=-2y

Substitute x into the first equation and simplify.

3x+5y=3

3(-2y)+5y=3

-6y+5y=3

-y=3

Invert.

y=-3

Substitute Y into your second equation.

x+2y=0

x+2(-3)=0

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6 0
3 years ago
The following two-way table describes student's after school activites. Find the probability that a randomly selected student is
stiv31 [10]

The probability that a randomly selected student is in music/drama is 25%

<h3>How to determine the probability?</h3>

From the table, we have the following values

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The probability is then calculated as:
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So, we have:

P = 25/100

Express as percentage

P = 25%

Hence, the probability that a randomly selected student is in music/drama is 25%

Read more about probability at:

brainly.com/question/251701

#SPJ1

4 0
2 years ago
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