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HELP ASAP!!!! 30 POINTS

Vedmedyk [2.9K]

Answer:

20.8 ft²

Step-by-step explanation:

area = (ab sin C)/2

area = (6 ft × 8 ft × sin 60°)/2

area = 20.8 ft²

6 0

3 years ago

What is the answer to this problem? Ignore the work. What is the correct answer?

yan [13]

Answer:

c = 42.5

Step-by-step explanation:

The legs of the triangle are a and b and the hypotenuse is c

Let a be the shorter leg

The hypotenuse is 5 more than the longest leg

c = b+5

The shortest leg is 20

a = 20

We can use the Pythagorean theorem

a^2 +b^2 = c^2

Substituting in what we know from above

20 ^2 + b^2 = (b+5)^2

FOIL (b+5)^2 = b^2 +5b+5b +25 = b^2+10b+25

400 + b^2 = b^2+10b+25

Subtract b^2 from both sides

400+b&2-b^2 = b^2 -b^2 +10b+25

400 = 10b+25

Subtract 25 from both sides

400-25 = 10b+25-25

375 = 10b

Divide by 10

375/10 = 10b/10

37.5 = b

But we want to find c

c=b+5

c = 37.5+5

c = 42.5

6 0

3 years ago

chose an appropriate probability for the event. The sun rise in west tomorrow. a. 0%b. between 10% and 20%c. 50%d.100%

Jobisdone [24]

Answer:

a. 0%

Step-by-step explanation:

The sun always rises in the east.

So the probability of it rising in the west is 0%, which means that the correct answer is a.

5 0

1 year ago

Mariela earned the following test scores in math: 95, 90, 100, 85, 80 Mr. Adams accidentally entered Mariela’s next test score a

Vesnalui [34]

Answer:

Before the error, the mean and the median were both 90.

The error added an outlier to the data set.

After the error, the mean was 75 and the median was 87.5

The mean was impacted by the error more than the median

Step-by-step explanation:

First is to put the data in order from smallest to largest

80,85,90,95,100

The mean is add up the data and divide by the number of points. The median is the middle of the data

Mean = (80+85+90+95+100)/5=450/5 = 90

Median = 90

When a 0 is added

0, 80,85,90,95,100

There is now an outlier, which is a data point far away from the others

Mean = (0+80+85+90+95+100)/6=450/6 = 75

Median = (85+90)/2 = 87.5

When the data set is even, take the two middle numbers and average them

The mean was impacted more than the median. It went from 90 to 75, where the median went from 90 to 87.5

5 0

3 years ago

Read 2 more answers

Consider the polynomial p(x)=8x3+12x2+2x+3.

Ivahew [28]

A: $(4x^2+1)(2x+3)$

B: grouping

Step-by-step explanation:

We are given the polynomial: $p(x)=8x^3+12x^2+2x+3$

Part A: What is the correct factorization of $p(x)=8x^3+12x^2+2x+3$ over the integers?

We need to factorize the term $p(x)=8x^3+12x^2+2x+3$

Factorizing by grouping:

$p(x)=8x^3+12x^2+2x+3$

$p(x)=(8x^3+12x^2)+(2x+3)$

$p(x)=4x^2(2x+3)+1(2x+3)$

$p(x)=(4x^2+1)(2x+3)$

So, factors of the term $p(x)=8x^3+12x^2+2x+3$ are $p(x)=(4x^2+1)(2x+3)$

Part B: What method is used to factor p(x)=8x3+12x2+2x+3?

The method used to factor the given polynomial is grouping.

We group the terms and then find the common terms in that specific group

So, the answers are:

A: $(4x^2+1)(2x+3)$

B: grouping

Keywords: Finding Factors

Learn more about finding factors at:

#learnwithBrainly

3 0

4 years ago

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