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Blizzard [7]
3 years ago
12

In Rectangle ABCD, m

Mathematics
1 answer:
storchak [24]3 years ago
6 0

Answer:

m∠ACD = 24°

Step-by-step explanation:

Measure of the interior angles of a polygon = \frac{(n - 2)\times 180}{n}

Therefore, measure of the interior angles of a rectangle = \frac{(4 - 2)\times 180}{4}

                                                                                              = \frac{360}{4}

                                                                                              = 90°

m∠BCD = 90°

Since, m∠BCD = m∠BCA + m∠ACD

90° = 66° + m∠ACD

m∠ACD = 90° - 66°

              = 24°

Therefore, measure of angles ACD is 24°.

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You and your friend rent a canoe. The canoe costs 10 dollars per half hour plus 5 dollars per day for each life vest. Life vests
REY [17]
The greatest range....the range is ur y value, it will be the total cost...the x is gonna be the number of 1/2 hrs. And the 5 per life vest has to be multiplied by 2 because there is 2 people, making it 10
y = 10x + 10

the greatest range will be when u rent the canoe for the longest.
8 a.m to 6 p.m......thats 10 hrs....20 half hrs...so the greatest range is when u rent the canoe for 20 half hrs.

y = 10(20) + 10
y = 200 + 10
y = 210 <=== the greatest range
3 0
3 years ago
The value of y varies jointly with the values of x and z When x = 4 and z = 10, the value of y is 360.
Igoryamba

Answer:

A

Step-by-step explanation:

Joint variation is given by:

y=kxz

Where k is some constant.

We are given that y = 360 when x = 4 and z = 10. Therefore:

360=k(4)(10)

Solving for k:

40k=360\Rightarrow k=9

Therefore, our equation is:

y=9xz

Then when x = 5 and z = 12:

y=9(5)(12)=540

The answer is A.

3 0
3 years ago
James puts $3,500 into a savings account that earns 2.5% simple interest. He does not touch that account for 3 years. What would
miskamm [114]

Given :

James puts $3,500 into a savings account that earns 2.5% simple interest.

He does not touch that account for 3 years.

To Find :

The new balance of the account be after 3 years.

Solution :

Interest on $3500 after 3 years is :

I = \dfrac{P_o\times r\times t}{100}\\\\I = \dfrac{3500\times 2.5\times 3}{100}\\\\I = \$262.5

So, new balance of the account after 3 years is $( 3500+262.5 ) = $3762.5  .

Hence, this is the required solution.

3 0
3 years ago
In a call center that stays open all the time, calls arrive as a poisson process with a mean rate of 0.3 complaints per hour.(a)
DENIUS [597]

The probability the 51st call arriaves within 150hours is 0.0431, the probability the next call arrives within the next 2 hours 0.5488, the probability the sum of these 50 numbers is less than 356 is 0.4165.

Data;

  • Mean rate = 0.3
  • x = 50
  • standard deviation = ?

<h3>Poission Rule</h3>

Using poission formula,

P(x=x) = \frac{e^-^\lambda - \lambda^x}{x!}\\\lambda = 0.3 per minute

Let's substitute the values into the formula.

For 50 calls in 150 hours

For 150 hours = x = 0.3 * 150 = 45

p(x=50) = \frac{e^-^4^5 * 45^5^0}{50!} = 0.0431

b)

The probability the next call arrives after 2 hours.

\lambda = 0.3 * 2 = 0.6\\p(x=0) = \frac{e^-^0^.^6 * 0.6^0}{0!} = 0.5488

c)

The number of calls recieved each day is recorded for 50 consecutive days.

for 50 days;

\lambda = 0.3 * 50 * 24 = 360

The mean = 360

The standard deviation is given as

S.D = \sigma =\sqrt{360} = 18.974\\

The probability the sum of these 50 number is less than 356 is

p = (x < 356) = z = \frac{356 - 360}{18.974} = -0.2108\\p(z < -0.2108) = 0.4165

Learn more on poission formula here;

brainly.com/question/7879375

3 0
2 years ago
How to solve 5x + 2y = 3
stich3 [128]

Answer:

Okay!

Step-by-step explanation:

Let's solve for x

5x+2y=3

Step 1: Add -2y to both sides.

Step 2: Divide both sides by 5.

(See attachment for answer :)

4 0
2 years ago
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