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2 years ago

13

3. What is the measure of angle HEK in this figure?95 55 85 150

1 answer:

DIA [1.3K]2 years ago

7 0

Answer:

95 is the correct answer

Step-by-step explanation:

The initial or beginning side is H. Look on the protractor and you will see the top number is 55 degrees. That is where we start. Now, go to line E, that is where we end. The top number is 150. To find <HEK, we need to subtract 55 from 150 to get 95.

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The sum of the 10 terms in a geometric series with a first term of 5 and a common ratio of 2 is 5115. What is the sum of the 10

Levart [38]

Answer:

It’s 11

Step-by-step explanation:

4 0

3 years ago

You bike 1 mile the first day of your training, 1.3 miles the second day, 1.9 miles the third day, and 3.1 miles the fourth d

JulsSmile [24]

Answer:

19.9 miles

Step-by-step explanation:

In this problem we have:

$d_1=1 mi$ is the distance travelled during the 1st day

$d_2=1.3 mi$ is the distance travelled during the 2nd day

$d_3=1.9 mi$ is the distance travelled during the 3rd day

$d_4=3.1 mi$ is the distance travelled during the 4th day

We notice that the difference between the distance travelled on the (n+1)-th day and the distance travelled on the n-th day doubles every day. In fact:

$d_2-d_1=0.3\\d_3-d_2=2\cdot 0.3 = 0.6\\d_4-d_3=2\cdot 0.6 = 1.2$

Which can be rewritten using the general formula:

$d_{n+1}-d_n=2(d_n-d_{n-1})$

This means that

$d_{n+1}=d_n+2(d_n-d_{n-1})$

By applying this formula recursively, we can find the 7th term, which is the distance travelled on the 7th day:

$d_1=1\\d_2=1.3\\d_3=1.9\\d_4=3.1\\d_5=3.1+2\cdot 1.2=5.5\\d_6=5.5+2\cdot 2.4=10.3\\d_7=10.3+2\cdot 4.8=19.9 mi$

So, the distance travelled on the 7th day is 19.9 miles.

7 0

4 years ago

The Regency Hotel has enough space at its entrance for six taxicabs to line up, wait for guests, and then load passengers. Cabs

maksim [4K]

Answer:

The appropriate solution is:

(1) 22.81 minutes

(2) 0.171

Step-by-step explanation:

According to the question, the values will be:

The service rate of guess will be:

= $5+3.5$

= $8.5 \ minutes$

The mean arrival rate will be:

$\lambda =\frac{60}{5}$

$=7.5 \ cabs/hr$

The mean service rate will be:

$\mu= 7.05 \ cabs/hr$

(1)

The average time a cab must wait will be:

⇒ $W_q=22.95-\frac{1}{7.05}$

⇒ $=\frac{161.798-1}{7.05}$

⇒ $=\frac{160.798}{7.05}$

⇒ $=22.81 \ minutes$

(2)

The required probability will be:

⇒ $P(X\geq 6)=\frac{1-2.115}{1-7.5}$

⇒ $=\frac{-1.1115}{-6.5}$

⇒ $=0.171$

6 0

3 years ago

What is the factored form of the expression 9x^2 + 6x +1

liraira [26]

Answer:

(3x+1)^2

Step-by-step explanation:

4 0

3 years ago

Read 2 more answers

The cost in dollars of making x items is given by the function C(x) = 10x + 500. a. The fixed cost is determined when zero items

Brilliant_brown [7]

Answer:

a. $500

b. $250

Step-by-step explanation:

a. For zero items produced, cost will be-

$C(0) = 10(0) + 500 = 0 + 500 = 500$

b. For zero items produced, cost will be-

$C(25) = 10(25) + 500 = 250 + 500 = 750$

c. If $C(x)_{max} = 1500$

$10x + 500 = 1500\\10x = 1000\\x = 100$

∴ domain for cost function will be $[0,100]$ and range will be 100

7 0

3 years ago