The two figures shown below are congruent. Identify the corresponding sides and angles.

8. What is the distance around the clock?

Elan Coil [88]

Answer:

The clock face is divided into sixty equal parts, each minute. The minute hand is located on the 20 minute mark at 6:20, the hour hand located between the 30 minute mark and the 35 minute mark. When the minute hand goes all sixty minutes, the hour hand only moves five, so to figure out the location of the hour hand, we look at how much the hour has progressed, in this case 20 minutes, or one third of the hour. So the minute hand has moved one third of the way through the hour, so has the hour hand moved one third of the way through the five minutes, or, five thirds of a minute, which is one and two thirds minute, one minute forty seconds. That puts the hour hand at thirty minutes plus one minute and forty seconds—at 31min 40sec—which is 11min 40sec farther than the minute hand.

Step-by-step explanation:

4 0

2 years ago

how many ways are there to win the jackpot? how many ways are there to match 5 of 6 numbers? how many ways are there to match 4

musickatia [10]

The number of ways to match 5 of 6 numbers is 6 ways

The number of ways to match 4 of 6 numbers is 15 ways

The number of ways to match 3 of 6 numbers is 20 ways

To calculate number of ways to match 5 of 6 numbers we have to use to formula:

$nCr =\frac{n!}{(n - r)! . r !}$

$6C5=\frac{6!}{(6-5)! . 5!}$

$6C5=\frac{6!}{(1)! . 5!}$

$6C5=\frac{6.5.4.3.2.1}{1.5.4.3.2.1}$

$6C5=\frac{6}{1}$

$6C5= 6 \ ways$

∴ 6 ways are to match 5 of 6 numbers

To calculate number of ways to match 4 of 6 numbers we have to use to formula:

$nCr =\frac{n!}{(n - r)! . r !}$

$6C4=\frac{6!}{(6-4)! . 4!}$

$6C4=\frac{6!}{(2)! . 4!}$

$6C4=\frac{6.5.4.3.2.1}{2.1.4.3.2.1}$

$6C4=\frac{30}{2}$

$6C4= 15 \ ways$

∴ 15 ways are to match 4 of 6 numbers

To calculate number of ways to match 4 of 6 numbers we have to use to formula:

$nCr =\frac{n!}{(n - r)! . r !}$

$6C3=\frac{6!}{(6-3)! . 3!}$

$6C3=\frac{6!}{(3)! . 3!}$

$6C3=\frac{6.5.4.3.2.1}{3.2.1.3.2.1}$

$6C3=\frac{120}{6}$

$6C3= 20 \ ways$

∴ 20 ways are to match 3 of 6 numbers

Learn more about Jackpots here :

brainly.com/question/27116420

#SPJ4

6 0

1 year ago

Your doctor told you to eat 25 grams of fiber each day. You had 4 grams of fiber for breakfast. What percent of the 25 grams of

Pie

16%

if you multiply 25 grams buy 4 you get 100 (100%) then you mulitply 4 by 4 which gives you 16 (16%)

7 0

3 years ago

Read 2 more answers

Answer this question

andreyandreev [35.5K]

Answer: OPTION B.

Step-by-step explanation:

We have the following functions f(x) and g(x):

$f(x)=x^2-2x-8\\\\g(x)=\frac{1}{4}x-1$

In order to find for which values of "x" $f(x)=g(x)$ , we can check each option given:

OPTION A

Substitute $x=-1.75$ into the function f(x) and evaluate:

$f(-1.75)=(-1.75)^2-2(-1.75)-8=-1.4375$

Substitute $x=-1.75$ into the function g(x) and evaluate:

$g(-1.75)=\frac{1}{4}(-1.75)-1=-1.4375$

Substitute $x=-1.438$ into the function f(x) and evaluate:

$f(-1.438)=(-1.438)^2-2(-1.438)-8=-3.0561$

Substitute $x=-1.438$ into the function g(x) and evaluate:

$g(-1.438)=\frac{1}{4}(-1.438)-1=-1.3595$

This is not the correct option.

OPTION B

We already know that:

$f(-1.75)=-1.4375$

$g(-1.75)=-1.4375$

Substitute $x=4$ into the function f(x) and evaluate:

$f(4)=(4)^2-2(4)-8=0$

Substitute $x=4$ into the function g(x) and evaluate:

$g(4)=\frac{1}{4}(4)-1=0$

This is the correct option.

OPTION C

We already know that:

$f(-1.438)=-3.0561$

$g(-1.438)=-1.3595$

Therefore, this is not the correct option.

OPTION D

We already know that:

$f(4)=0$

$g(4)=0$

Substitute $x=0$ into the function f(x) and evaluate:

$f(0)=(0)^2-2(0)-8=-8$

Substitute $x=0$ into the function g(x) and evaluate:

$g(0)=\frac{1}{4}(0)-1=-1$

This is not the correct option.

7 0

3 years ago

Marley has read 112.5 pages of a book. By the end of today, she plans to have read at least a total of 360 pages. If she reads 4

e-lub [12.9K]

She will need 5 and a half hours. First step is to do 360-112.5 the pgs she read and her goal. then you'll get 247.5. To find how many hours you need to find the unit rate. so 247.5 divided by 45 is 5.5 hours.

hope this helped. can u mark me as the brainiest answer

6 0

3 years ago