Mathematics College

Find AC and BC.

Answers:
14.94
13.46
11.10
10
Please help.

Find AC And BC. Answers: 14.9413.4611.1010Please Help.

Answers

Answer 1

Step-by-step explanation:

Use Sine rule.

[tex] \frac{ac}{ \sin(b) } = \frac{ab}{ \sin(c) } \\ \frac{ac}{ \sin(90) } = \frac{10}{ \sin(42) } \\ ac \sin(42) = 10 \sin(90) \\ ac = \frac{10 \sin(90) }{ \sin(42) } \\ ac = 14.9 \: units \: (3s.f)[/tex]

Angle A + angle B + angle C = 180 (sum of angles in triangle)

Angle A + 90 + 42 = 180

Angle A + 132 = 180

Angle A = 180 - 132

= 48

[tex] \frac{bc}{ \sin(a) } = \frac{ab}{ \sin(c) } \\ \frac{bc}{ \sin(48) } = \frac{10}{ \sin(42) } \\ bc \sin(42) = 10 \sin(48) \\ bc = \frac{10 \sin(48) }{ \sin(42) } \\ = 11.1units (3sf)[/tex]

Related Questions

Find the area of the equilateral triangle to the nearest hundredth, given the radius.

Answers

9514 1404 393

Answer:

  20.78 square units

Step-by-step explanation:

The area of a regular polygon of radius r and number of sides n is given by ...

  A = (n/2)r²sin(360°/n)

For this regular 3-gon of radius 4, the area is ...

  A = (3/2)(4²)sin(360°/3) = 24(√3/2) = 12√3 . . . square units

The area is about 20.78 square units.

help with math!!
Find the volume of each right rectangular prism

Answers

Answer:

7: 7.75   8: 6.98

Step-by-step explanation:

This angle cuts out 1/4 of the circle. Find the measure of the angle.

Answers

Answer:

90 degrees

Step-by-step explanation:

What is the answer please help no links I will report

Answers

Answer:

6

Step-by-step explanation:

because its the middle number

There are 400 thousand people living in Miami and 300 thousand people living in Anchorage. Which statement below shows which city has more people living in it? - 400 thousand people > 300 thousand people, so there are more people living in Miami. 400 thousand people < 300 thousand people, so there are more people living in Miami. 400 thousand people > 300 thousand people, so there are more people living in Anchorage. 400 thousand people < 300 thousand people, so there are more people living in Anchorage.​

Answers

Answer:

Your answer is A <3

Step-by-step explanation:

Answer:

400 thousand people > 300 thousand people, so there are more people living in Miami.

A walking path 78 mile long Colleen planted 14 bushes the same distance apart along the path how far power are the 1st 2 bushes along the path​

Answers

Answer:

The bushes will be located 6 meters apart from each other.

Step-by-step explanation:

Given that at a walking path 78 mile long Colleen planted 14 bushes the same distance apart along the path, to determine how far away are the 1st 2 bushes along the path, the following calculation must be performed:

78/13 = X

6 = X

Thus, since the first bush is at meter 0, the remaining 13 bushes will be located 6 meters apart.

Pricilla makes a profit of $24.50 on every scarf she sells the materials for each scarf cost
$8.39 how much does Priscilla sell each scarf for?

Answers

32.89 should be the answer if I’m reading your question right

The length of one rectangle is 3 1/2 mm with a width of 2 4/5 mm . What is the area of the rectangle?

Answers

Answer:

9.8

Step-by-step explanation:

15) Suzanne bought 3 quarts of orange juice, 4 quarts of apple juice, and 5 quarts of
water at the store. How many gallons of liquid did she buy?

Answers

Answer:

3 liquid gallons

Step-by-step explanation:

3 + 4 + 5 = 12

12 ÷ 4 = 3 liquid gallons

What is the correct equation for this phrase?
Nine less than twice a number.

Answers

Answer:

[tex]2k - 9[/tex]

Step-by-step explanation:

jsjsjsjsjjsjsksksksksksksksksksjskkwjwjwjwkw

85% of x is 51. Write an equation that represents the situation.

Answers

Answer:

85/100*x=51

Step-by-step explanation:

85x=5100

can someone help me pls?

Answers

Okay so basically the 12 yd is your diameter for the circle,
Since you want the whole perimeter of the circle, which is the shaded area, you will find the circumference (perimeter) of the circle.
Using the equation of:
pi x diameter
and you will find your answer
in this case your answer is 37.699

guys someon about to comit u know what so go to this link and help out
https://brainly.com/question/22760250

Answers

Answer:

Is this called

BRAINLIEST WHO EVER ANSWERS FIRST !!!!!!I need someone to talk too! Please if anyone is willing to talk to me, I will give brainiest!

Answer:

A tropism (from Greek τρόπος, tropos, "a turning") is a biological phenomenon, indicating growth or turning movement of a biological organism, usually a plant, in response to an environmental sti

Write 2.83 as a mixed number and as an improper fraction.
Do not try to simplify your answers.


Answers

Answer:

Mixed number: [tex]2\frac{83}{100}[/tex]

Improper Fraction: [tex]\frac{283}{100}[/tex]

Answer:

[tex]\frac{238}{100}\\\\2\frac{38}{100}[/tex]

Step-by-step explanation:

2.83/1

To make this a normal fraction, the top has to be a whole number, so we can multiply the top and bottom by 100 to slide the decimal point twice.

238/100

This can be shown as a mixed number by removing the 200 which is divisible by 100

[tex]2 \frac{38}{100}[/tex]

Note: The reason the question says not to simplify is because 283 is a prime and cannot be simplified

Please help me i will give you 50 points if you do

Answers

Answer:

6(4X-1) = 24X -6 , (2 . 12X ) - (2 . 3) .

24X+6 = (6 . 4X) + (6 . 1) , 6( 4X + 1 ) .

(4 . 6X) - (4 . 2) = 24X + 8 , 4(6X + 2) .

Step-by-step explanation:

Hope it was helpful dear , good luck ^^

Which of the numbers given
are rational?
Select all that apply:

8.634092...

6.28232

7144

1.465359...

32.71481

Answers

Answer:

7144

Step-by-step explanation:

1. Write an integer that can
represent 200 years ago?


Answers

200 ??

200 is an integer

or 20

or 2

PLEASE HELPP!!!!

Please find the areas of these shape

Answers

The answer of the First one is 76

what is solution to 8x=2/3

Answers

there should be a cross multiplication

3(8x)=2

expanding bracket

24x=2

multiple both sides by 24

x=1/12

4. Are the expressions 3(y + 1) and 3y + 3, equivalent for y = 1? y= 2? y 3?​

Answers

Answer:

yes they both equal 1

Step-by-step explanation:

HELP (for the first select answer its “yes” or “no”)

Answers

Answer:

No, the sample is too small compared to the size of the shipment.

Step-by-step explanation:

Determine if the triangle is a right triangle.

Answers

Answer:

Yes, this is a right triangle

Step-by-step explanation:

a² + b² = c²

65² + 72² = 97²

4225 + 5184 = 9409

9409 = 9409

Since the hypotenuse equals the 2 legs, it's a right triangle

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What is the volume of the cylinder below? write your answer in terms of pie.

Height= 11.5 cm
Radius= 6 cm

Answers

Answer:

414π

Step-by-step explanation:

Volume of a cylinder = area of circle/ cross-section x height

Area of cross-section = πr² = 6²π = 36π

36π x 11.5 = 414π

Answer:

1300.61936 cm

Step-by-step explanation:

:))

Find the surface area of the prism. 3m, 4m, 8m,5m

Answers

Step-by-step explanation:

480 is the answer // provide picture for better answer

Select the most accurate statement regarding the normal distribution. Group of answer choices It is always the appropriate distribution in simulation modeling. It does not permit negative values. There is a 95% chance that values will be within ±2 standard deviations of the mean. The user must specify the maximum positive value allowed. It is obtained by the positive and negative square roots of a uniform random variable.

Answers

Answer:

There is a 95% chance that values will be within ±2 standard deviations of the mean.

Step-by-step explanation:

Normal Probability Distribution:

Problems of normal distributions can be solved using the z-score formula.

In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.

The Empirical Rule states that, for a normally distributed random variable:

Approximately 68% of the measures are within 1 standard deviation of the mean.

Approximately 95% of the measures are within 2 standard deviations of the mean.

Approximately 99.7% of the measures are within 3 standard deviations of the mean.

In this question:

According to the empirical rule, 95% of the measures are within 2 standard deviations of the mean. So the correct statement is:

There is a 95% chance that values will be within ±2 standard deviations of the mean.

At a furniture store, the employees earn a 2.5% commission on every sale they make. If Ginny made $8850 in sales one week, how much did she earn in commission?
help please :( 100 points

Answers

Answer:

She earned 221.25 in commission

Step-by-step explanation:

2.5% of 8850 is 221.25

⚠️⚠️⚠️⚠️⚠️⚠️⚠️⚠️⚠️⚠️⚠️HELP HELP HELP HELP - A triangle has side lengths of 7, 23, and 25. Is the triangle a right triangle? *
Yes, the triangle is a right triangle.
No, the triangle is not a right triangle.
There is not enough information to tell if the triangle is a right triangle.

Answers

Answer:

No, the triangle is not a right triangle

Step-by-step explanation:

Answer:

To determine if the triangle is a right triangle, we can use the Pythagorean theorem, which states that in a right triangle, the square of the length of the hypotenuse (the side opposite the right angle) is equal to the sum of the squares of the other two sides.

Let's check if the given triangle satisfies the Pythagorean theorem:

7^2 + 23^2 = 49 + 529 = 578

25^2 = 625

Since 578 is not equal to 625, the triangle does not satisfy the Pythagorean theorem. Therefore, the triangle is not a right triangle.

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The rabbit population at the city park increases by 14% per year. If there are intially 481 rabbits in the city park.

Write a model for the population (y) in terms of years (t).
y =

Find the population in 17 years.

Answers

Answer:

y = 0.14t + 481

Population in 17 years: 483.38

Step-by-step explanation:

y = (m) (x) + b

y = (slope) (x) + starting value

A class consists of 1/2 freshmen, 1/8 sophomores, and 1/8 juniors; the rest are seniors. What fraction of the class is seniors?

Answers

Answer:

2/8 are seniors

Step-by-step explanation:

one half = 4/8

4/8 + 1/8 + 1/8 = 6/8.

What's left is 2/8

help please it needs to be don by 4:00​

Answers

1: x=1
2: (1,-4)
3: min
4: -3
5: -1 and 3
6: all real numbers
7: y>or equal to -4
8: x=2
9: (2,-1)
13: c=121

those are all i can do for now hope they help
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