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RideAnS [48]
3 years ago
12

Ethan installs tiles on the floor of a room with a length of 14 feet and a width of 12 feet. It takes 9 hours to install the til

es in the room.
What is the average speed at which Ethan can install the tiles? Round to the nearest tenth.
Mathematics
1 answer:
Stels [109]3 years ago
6 0
Find total area
area=14 ties 12=168 ft^2
9 hours

168/9=56/3=18.6666666 ft^2 per hour

round
18.7 ft^2 per hour
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An urn contains 3 red and 7 black balls. Players A and B take turns (A goes first) withdrawing balls from the urn consecutively.
andrey2020 [161]

Answer:

The probability that A selects the first red ball is 0.5833.

Step-by-step explanation:

Given : An urn contains 3 red and 7 black balls. Players A and B take turns (A goes first) withdrawing balls from the urn consecutively.

To find : What is the probability that A selects the first red ball?

Solution :

A wins if the first red ball is drawn 1st,3rd,5th or 7th.

A red ball drawn first, there are E(1)= ^9C_2 places in which the other 2 red balls can be placed.

A red ball drawn third, there are E(3)= ^7C_2 places in which the other 2 red balls can be placed.

A red ball drawn fifth, there are E(5)= ^5C_2 places in which the other 2 red balls can be placed.

A red ball drawn seventh, there are E(7)= ^3C_2 places in which the other 2 red balls can be placed.

The total number of total event is S= ^{10}C_3

The probability that A selects the first red ball is

P(A \text{wins})=\frac{(^9C_2)+(^7C_2)+(^5C_2)+(^3C_2)}{^{10}C_3}

P(A \text{wins})=\frac{36+21+10+3}{120}

P(A \text{wins})=\frac{70}{120}

P(A \text{wins})=0.5833

6 0
3 years ago
If the length of side a is 12 centimeters, measure of angle B = 36 degrees and measure of angle C = 75 degrees , what is the len
Fofino [41]
The length of side b is 7.61 m.

Here's how the length was calculated:

Let:

length of side a = 12 centimeters
B = 36 degrees
C = 75 degrees

In order to solve an AAS triangle, use the three angles, add to 180 degrees to find the other angle, then, use The Law of Sines to find each of the other two sides.

A = 180 - (36 + 75) = 69 degrees

by using the law of sines:

a / sin A = b / sin B = c/ sin C

we will substitute the given values:

12 / sin (69) = b / sin (36)

b = unknown

12 / 0.93 = b / 0.59

12.9 = b / 0.59

b = 12.9 * 0.59

b =7.61 cm (length of side b)
6 0
3 years ago
What is the sum of all the angles that are labeled?
Jobisdone [24]

Answer:

235

Step-by-step explanation:

Add the labeled angles

23+40+92+80

235

5 0
3 years ago
Read 2 more answers
ANSWER ASAP AND I WILL MARK YOU BRANLIEST. Tomas makes balloon sculptures at a circus. In 96 minutes, he uses 160 balloons to ma
Alexus [3.1K]

Answer:

Step-by-step explanation:

(96 minutes)/(32 sculptures) = (96/32 minutes)/sculpture = (3 minutes)/sculpture

It takes 3 minutes to make one sculpture.

(160 balloons)/(32 sculptures) = (160/32 balloons)/sculpture = (5 balloons)/sculpture

It takes 5 balloons to make one sculpture.

(160 balloons)/(96 minutes) ≈ 1.7 balloons used per minute.

6 0
3 years ago
Read 2 more answers
Help me please thank you
Snezhnost [94]
Point A is at (-5.1 , 3.3)
3 0
3 years ago
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