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d1i1m1o1n [39]
2 years ago
13

Consider triangle QRS. The legs each have a length of 10 units. Triangle Q R S is shown. Angle Q S R is 90 degrees. The length o

f Q X is 10 and the length of S R is 10. What is the length of the hypotenuse of the triangle? 5 units 5 StartRoot 2 EndRoot units 10 units 10 StartRoot 2 EndRoot units
Mathematics
2 answers:
LenKa [72]2 years ago
5 0

Answer:

5/2

Step-by-step explanation:

Lostsunrise [7]2 years ago
4 0

Answer:

The correct answer would be D

Step-by-step explanation:

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One month julia collected 8.4 gallons of rainwater. That month she used 5.2 gallons of rainwater to water her garden and 6.5 gal
Andru [333]

Given

One month julia collected 8.4 gallons of rainwater.

she used 5.2 gallons of rainwater to water her garden

6.5 gallons of rainwater to water flowers

Find out how much was the supply of rainwater increased or decreased by the end of the month.

To proof

As given in the question

One month julia collected 8.4 gallons of rainwater

she used 5.2 gallons of rainwater to water her garden and 6.5 gallons of rainwater to water flowers

Total water she used in the month = 5.2 gallons + 6.5gallons

                                                         = 11.7 gallons

Let the supply of rainwater increased or decreased by the end of the month

be x .

Than the equation become in the form

x + 8.4 = 11.7

x = 3.3 gallons

Therefore the supply of rainwater increased or decreased by the end of the month is 3.3 gallons.

Hence proved



8 0
2 years ago
Read 2 more answers
A lake near the Arctic Circle is covered by a sheet of ice during the cold winter months. When spring arrives, the ice starts to
hichkok12 [17]

Answer: 1.5 meters


Step-by-step explanation:

Given: A lake near the Arctic Circle is covered by a sheet of ice during the cold winter months. S

S(t) models the ice sheet's thickness (in meters) as a function of time t (in weeks) S(t)=-0.25t+4

if we put x=0, then

S(0)=-0.25(0)+4\\=4\ meters

So 4 meters is the initial thickness

To find the thickness after 6 weeks, put x=6 we get

S(6)=-0.25(6)+4\\=-1.5+4=2.5\ meters

Decrease in thickness every 6 weeks= 4-2.5=1.5\ meters


3 0
2 years ago
Read 2 more answers
If the sin 90º = 1, then which statement is true?
Natali [406]

in a right-triangle, like in the 1st Quadrant, cosine and sine are complements, so then

sin(x) = cos(90° - x)

cos(x) = sin(90° - x)

for this case, sin(<u>90°</u>)  = cos(90° - <u>90°</u>), or just cos(0°) = 1.

6 0
2 years ago
A campus deli serves 300 customers over its busy lunch period from 11:30 a.m. to 1:30 p.m. A quick count of the number of custom
Irina-Kira [14]

Complete question is;

A campus deli serves 300 customers over its busy lunch period from 11:30 am to 1:30 pm. A quick count of the number of customers waiting in line and being served by the sandwich makers shows that an average of 10 customers are in process at any point in time. What is the average amount of time that a customer spends in process?

Answer:

4 minutes

Step-by-step explanation:

For this question, we will apply Little's law which is is a theorem that determines the average number of items in a stationary queuing system, based on the average waiting time of an item within a system and the average number of items arriving at the system per unit of time.

The formula for the law is:

Inventory = flow rate × flow time.

We are given;

Inventory = 300 customers

flow time is from 11: 30am to 1:30pm which is 2 hours = 120 minutes

Flow rate = 300/120 = 2.5 persons/minute

Now, Making flow rate the subject of the formula earlier given, we have;

flow rate =  inventory/ flow time

Flow time is the time each person spends in the process

Thus, plugging in the relevant values, we get ;

We are told that an average of 10 customers are in process at any point in time.

Thus;

Average flow time = average inventory/flow rate = 10/2.5 = 4 minutes

3 0
2 years ago
Jason bought 10 of the 30 raffle tickets for a drawing. What is the probability that Jason will win all 3 of the prizes if once
svet-max [94.6K]

Given:

Total of raffle tickets = 30

Number of tickets Jason bought = 10

Number of prizes = 3

To find:

The probability that Jason will win all 3 of the prizes if once a raffle ticket wins a prize it is thrown away.

Solution:

Total of raffle tickets = 30

Number of prizes = 3

So, number of total outcomes is

n(S)=^{30}C_3

Number of tickets Jason bought = 10

So, number of favorable outcomes is

n(A)=^{10}C_3

Now,

\text{Probability}=\dfrac{\text{Favorable outcomes}}{\text{Total outcomes}}

\text{Probability}=\dfrac{n(A)}{n(S)}

\text{Probability}=\dfrac{^{10}C_3}{^{30}C_3}

\text{Probability}=\dfrac{\dfrac{10!}{(10-3)!3!}}{\dfrac{30!}{(30-3)!3!}}

\text{Probability}=\dfrac{10\times 9\times 8\times 7!}{7!3!}\times\dfrac{27!3!}{30\times 29\times 28\times 27!}

\text{Probability}=\dfrac{10\times 9\times 8}{30\times 29\times 28}

\text{Probability}=\dfrac{6}{203}

Therefore, the correct option is A.

7 0
2 years ago
Read 2 more answers
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