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3 years ago

A cable television company had 8500 subscribers in a suburban community. The company offers two premium channels, A and

1 answer:

3 0

This is a problem on a venn diagram in which the problem determines the number of subscribers that are mutually heeding for channel A and channel B. The equation to be followed is

U = U' + A + B + AandB
Substituting,
8500 = 5140 + 2450+1980- AandB
AandB = 1070 subscribers

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Jatin deposited Rs. 35673 in his bank account on Tuesday and withdrew Rs.

jenyasd209 [6]

Amount deposited by Jatin on Tuesday =Rs. 35673

He withdrew 3568 on Wednesday, it means his total amount in bank now is 35673-3568 = Rs.32105

He again deposited Rs. 24113

Total amount as of Saturday in his bank = 34105+24113
= Rs.58218

4 0

2 years ago

Read 2 more answers

Recite the mnemonic that we can use to help remember the ratios for sine, cosine,and tangent?What does each piece stand for?

Effectus [21]

SOHCAHTOA

Sine
obtuse over horizontal
Cosine
Acute over Horizontal
Tangent
Obtuse over acute

7 0

3 years ago

Keely makes meringues by mixing egg whites with sugar.

Lubov Fominskaja [6]

Answer:

Yes, she will have enough eggs.

Step-by-step explanation:

It's an easy question if we carefully think about it.

Firstly we find the total number of eggs:

- 9 boxes x 15 eggs = 135 eggs

Secondly, the weight of the useful egg whites:

- 135 eggs x 40 grams = 5400 grams of egg whites

Thirdly we divide the egg whites weight by the sugar weight

- 5400/8000 = 0.675 which is larger than the minimum ratio, 3/5 = 0.6.

This means that Keely will have enough eggs to use the whole of the sugar for meringues.

8 0

2 years ago

You spin the spinner shown below once. The spinner has 4 equal sectors colored pink, purple, blue and green. What is p ( not pur

irakobra [83]

Answer:

It would be 0.75

Step-by-step explanation:

Probability=

Number of possible outcomes

Number of favorable outcomes

There are 3 favorable outcomes (pink, green, or blue).

There are 4 possible outcomes since there are 4 equal sectors.

P(not purple)= 3/4= 0.75

7 0

2 years ago

Your task is to build a road joining a ranch to a highway that enables drivers to reach the city in the shortest time. The perpe

lubasha [3.4K]

Answer:

(a)In the attachment

(b)The road of length 35.79 km should be built such that it joins the highway at 19.52km from the perpendicular point P.

Step-by-step explanation:

(a)In the attachment

(b)The distance that enables the driver to reach the city in the shortest time is denoted by the Straight Line RM (from the Ranch to Point M)

First, let us determine length of line RM.

Using Pythagoras theorem

$|RM|^{2}=30^2+x^2\\|RM|=\sqrt{30^2+x^2}$

The Speed limit on the Road is 60 km/h and 110 km/h on the highway.

Time Taken = Distance/Time

Time taken on the road $=\frac{\sqrt{30^2+x^2}}{60}$

Time taken on the highway $=\frac{50-x}{110}$

Total time taken to travel, T $=\frac{\sqrt{30^2+x^2}}{60}+\frac{50-x}{110}$

Minimum time taken occurs when the derivative of T equals 0.

$T^{'}=\frac{x}{60\sqrt{30^2+x^2}}-\frac{1}{110}\\\frac{x}{60\sqrt{30^2+x^2}}-\frac{1}{110}=0\\\frac{x}{60\sqrt{30^2+x^2}}=\frac{1}{110}\\110x=60\sqrt{30^2+x^2}\\$

Square both sides

$12100x^2=3600(30^2+x^2)\\12100x^2=3240000+3600x^2\\12100x^2-3600x^2=3240000\\8500x^2=3240000\\x^2=\frac{3240000}{8500} =381.18\\x=\sqrt{381.18} =19.52$

The road should be built such that it joins the highway at 19.52km from the point P.

In fact,

$|RM|=\sqrt{30^2+19.52^2}=35.79km$

4 0

3 years ago