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2 years ago

A triangle includes one angle that measures 72º. Which pair could be the measures of the other two angles of the triangle

Mathematics

2 answers:

shtirl [24]2 years ago

5 0

Answer:

Step-by-step explanation:

180-72 = 108

26+46=72

108+72=180

oee [108]2 years ago

3 0

Answer:

C 53º , 55ºthe total sum will be now 180°………………………

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If I roll a fair die 100 times, about how many times would I roll a 4?

WARRIOR [948]

C. 17

Why:

Divide 100 by 6, round the answer and you should get 17

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4 years ago

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g If there are 52 cards in a deck with four suits (hearts, clubs, diamonds, and spades), how many ways can you select 5 diamonds

dezoksy [38]

Answer:

The number of ways to select 5 diamonds and 3 clubs is 368,082.

Step-by-step explanation:

In a standard deck of 52 cards there are 4 suits each consisting of 13 cards.

Compute the probability of selecting 5 diamonds and 3 clubs as follows:

The number of ways of selecting 0 cards from 13 hearts is:

${13\choose 0}=\frac{13!}{0!\times(13-0)!} =\frac{13!}{13!}=1$

The number of ways of selecting 3 cards from 13 clubs is:

${13\choose 3}=\frac{13!}{3!\times(13-3)!} =\frac{13!}{13!\times10!}=286$

The number of ways of selecting 5 cards from 13 diamonds is:

${13\choose 5}=\frac{13!}{5!\times(13-5)!} =\frac{13!}{13!\times8!}=1287$

The number of ways of selecting 0 cards from 13 spades is:

${13\choose 0}=\frac{13!}{0!\times(13-0)!} =\frac{13!}{13!}=1$

Compute the number of ways to select 5 diamonds and 3 clubs as:

${13\choose0}\times{13\choose3}\times{13\choose5}\times{13\choose0} = 1\times286\times1287\times1=368082$

Thus, the number of ways to select 5 diamonds and 3 clubs is 368,082.

6 0

3 years ago

The length of one side of a square pond is 15 feet. The pond is surrounded by a 3 foot wide walkway. What is the total area of t

rewona [7]

Answer:

Area = 324 ft²

Step-by-step explanation:

Given

Length = 15ft

Walkway = 3ft

Required

Determine the area of the pond + the walkway

To calculate the required area, we need to get the total length of a side .

This is calculated by adding the length of a side of the pond and the side of the walkway

Total Length = Pond Length + Walkway

Total Length = 15ft + 3ft

Total Length = 18ft

Now, the required area can be calculated as thus:

Area = Total Length * Total Length

Area = 18ft * 18ft

Area = 324 ft²

8 0

3 years ago

There is a population of 10,000 bacteria in a colony. If the number of bacteria doubles every 14 hours, what will the population

Tasya [4]

Answer:

for the first 14 hours it doubles to 20,000, then once it reaches 28 hours it'll be 40,000. its an exponential growth

6 0

3 years ago

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Given the function f(x) =2x-5 and g(x) which function has a greater slope

Natasha_Volkova [10]

Answer:

<h2>B. g(x) has a greater slope.</h2>

Step-by-step explanation:

The slope-intercept of an equation of a line:

$y=mx+b$

m - slope

b - y-intercept

The formula of a slope:

$m=\dfrac{y_2-y_1}{x_2-x_1}$

=========================================

$f(x)=2x-5\to m=2$

From the table of function g(x) we have:

x = 2 → y = 0

x = 4 → y = 5

Calculate the slope:

$m=\dfrac{5-0}{4-2}=\dfrac{5}{2}=2.5$

The slope of f(x) is equal to 2.

The slope of g(x) is equal to 2.5.

2 < 2.5

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3 years ago

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