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Rom4ik [11]
3 years ago
13

Find the missing side of triangle

Mathematics
1 answer:
Maksim231197 [3]3 years ago
7 0

<u>Final Answer:</u>

x = 20

<u>Step-by-step explanation:</u>

we'll be using the pythagorean theorem method, in this triangle the missing letter is a.

formula: a=\sqrt{c^2-b^2}

a = x

b = 21

c = 29

a = \sqrt{29^2-21^2}

a = \sqrt{841-441}     (note: 29² = 29 × 29 = 841 and 21² = 21 × 21 = 441)

a = \sqrt{400}

a = 20

x = 20

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Susan runs 22 km in 2 hours and 45 minutes. What is her average speed in km an hour? Explain your answer please!
Tpy6a [65]

Answer:

22km= 2 hours and 45 mins

To find speed: Distance/Time

22/2.75 = 8

Your answer 8km/h

Step-by-step explanation: When finding speed, the formula is always distance divided by time. 45 minutes of 60 minutes is 3/4 of an hour, and 3/4 is 0.75 is decimal. So you add the 2 + .75, and you'll get 2.75. After you convert the time, you begin dividing and you'll get your answer!

4 0
3 years ago
You decide to work part-time at a local veterinary hospital. The job pays $9.50 per hour and you work 20 hours per week. Your em
nadezda [96]

Answer:

a. Weekly Gross pay:

= 9.50 * 20

= $190

b. Federal tax withheld:

= 10% * 190

= $19

c. FICA Tax withheld:

= 5.65% * 190

= $10.74

d. State tax withheld:

= 5% * 190

= $9.50

e. Weekly net pay

= Gross pay - taxes

= 190 - 19 - 10.74 - 9.50

= $150.76

f. Percentage withheld for taxes:

= (19 + 10.74 + 9.50) / 190 * 100%

= 20.7%

8 0
3 years ago
A rocket is launched into the air. The height h(t), in yards, of the rocket is a function of time, t, in seconds, as shown in th
RideAnS [48]

Answer:

From 3 to 6 seconds, the rocket is falling 11 yards per second.

Step-by-step explanation:

Normal pace of progress is exactly the same thing as the slant. Since this is explanatory, we can't track down the specific pace of progress as we could if this were a straight capacity. Be that as it may, we can utilize a similar thought. At the point when t = 3, h(t) = 33, so the organize point is (3, 33). At the point when t = 6, h(t) = 0, so the facilitate is (6, 0). Attachment those qualities into the incline recipe:  

m= 0-33/6-3 and m=-33/3 which is 11  

From 3 to 6 seconds, the rocket is falling 11 yards each second.

Brainliest?

7 0
3 years ago
A certain plant runs three shifts per day. Of all the items produced by the plant, 50% of them are produced on the first shift,
Snezhnost [94]

Answer:

0.2941 = 29.41% probability that it was manufactured during the first shift.

Step-by-step explanation:

Conditional Probability

We use the conditional probability formula to solve this question. It is

P(B|A) = \frac{P(A \cap B)}{P(A)}

In which

P(B|A) is the probability of event B happening, given that A happened.

P(A \cap B) is the probability of both A and B happening.

P(A) is the probability of A happening.

In this question:

Event A: Defective

Event B: Manufactured during the first shift.

Probability of a defective item:

1% of 50%(first shift)

2% of 30%(second shift)

3% of 20%(third shift).

So

P(A) = 0.01*0.5 + 0.02*0.3 + 0.03*0.2 = 0.017

Probability of a defective item being produced on the first shift:

1% of 50%. So

P(A \cap B) = 0.01*0.5 = 0.005

What is the probability that it was manufactured during the first shift?

P(B|A) = \frac{P(A \cap B)}{P(A)} = \frac{0.005}{0.017} = 0.2941

0.2941 = 29.41% probability that it was manufactured during the first shift.

6 0
3 years ago
HURRY !!! Farmer McHenry is going to sell his tomatoes at the farmer's market. It costs Farmer McHenry $2.50 in gas, $1 for the
Korolek [52]

Answer:

Step-by-step explanation:

The total cost that farmer McHenry assumes to sell his tomatoes at the farmer´s market includes: the gas, the stand and the price tags. The expression is the following:

Total cost = $2,50 + $1 + $0.50

Total cost = $4

Farmer McHenry's revenue depends on the number of tomatoes he sells:

Revenue (t)= Price* t

Revenue (t)= $0.50(t)

To know how many tomatoes, he must sell so that the cost equals his revenue, you must equal both expressions and then find t:

$4=$0.50 (t)

t= $4/$0.50

t= 8  

He must sell 8 tomatoes.  

5 0
4 years ago
Read 2 more answers
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