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mario62 [17]
2 years ago
9

Given the exact value for sides a and c.

Mathematics
1 answer:
Over [174]2 years ago
5 0

Answer:

See below

Step-by-step explanation:

a =  15 sqrt 2   sin 45

   = 15 sqrt 2  * sqrt( 2 ) /2  = 15 * 2 /2 = 15

sin 60 = a/c

sqrt(3)/2 = 15/c

   c =   15 / ( sqrt(3)/2) = 30 / sqrt 3 = 30 sqrt 3 /3 = 10 sqrt 3

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Suppose that the number of bacteria in a certain population increases according to an exponential growth model, with a growth ra
podryga [215]

Answer: 5489

Step-by-step explanation:

Given the following :

Growth rate (r) = 19% per hour

Sample culture in population = 2300

Size of sample after 5 hours =?

Using the exponential relation:

P = Po * r^t

P = population after 5 hours

Po = Initial sample population

t = time

P = 2300 * (1 +19%)^t

P = 2300 ×(1 + 0.19) ^5

P = 2300 * 1.19^5

P = 2300 * 2.3863536599

P = 5488.61341777

P = 5489 (nearest integer)

4 0
3 years ago
Kennedy brought 24 cookies to share with her classmates. 2/3 of cookies are chocolate chip. How many are chocolate chips?
My name is Ann [436]

Answer:

Step-by-step explanation:

"of" means "times"

⅔ of 24 = ⅔ × 24 = 48/3 = 16

4 0
3 years ago
Read 2 more answers
A basketball player scored 29 points in a game. The number of three-point field goals the player made was 29 less than three tim
jek_recluse [69]
If you let x represent the number of free throws.         
let y represent the number of two-point field goal.         
let z represent the number of three-point shots made.

Then the correct system of linear equations is as follows: 

x + 2y + 3z = 29 (The total number of points scored is 29.)
z = 3x - 29 (The number of 3-pointers was 29 less than 3 times the number of free throws.)
2y = z + 15 (Twice the number of 2-point shots made was 15 more than the number of 3-pointers.) 

Solution:
This basketball player scored 10 points via free throws (10 at 1 point each), 16 points via 8 two-point shots made, and 3 points via 1 three-point shots made. So, in the choice its letter D.
7 0
3 years ago
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Cesar is getting balloons for his mother's birthday party. He wants each balloon string to be 12 feet long. At the party store s
sasho [114]

Answer:

<em>188 yards </em>

Step-by-step explanation:

Given

Length of one balloon = 12 feet

Since 1 foot = 1/3 yards

12 feet = x

Cross multiply

1 * x = 1/3 * 12

x = 12/3

x = 4 yards

Hence one balloon will be 4 yards long.

If one balloon = 4 yards long

47 balloons = y

Cross multiply;

1 * y = 4 * 47

<em>y = 188yards</em>

<em>Therefore Cesar will need 188 yards of string for 47 ballooons</em>

<em></em>

5 0
3 years ago
A cheese pizza costs $5. Additional toppings cost $1.50 each. Write and graph an equation that represents the total cost $c$ (in
Triss [41]

Answer:

5 + 1.5x = total cost

Step-by-step explanation:

5 is for one pizza and x is for toppings. For every topping it is multiplied by 1.5. for example, if you have 2 toppings for one cheese pizza it would be 5 dollars + 1.5x2 which is 3 so 3+5=8$ in total.

7 0
3 years ago
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