**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]

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.

**Answer:**

*y = 0.14t + 481*

Population in 17 years: *483.38*

**Step-by-step explanation:**

y = (m) (x) + b

y = (slope) (x) + starting value

1. Write an integer that can

represent 200 years ago?

200 ??

200 is an integer

or 20

or 2

200 is an integer

or 20

or 2

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.

**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.

Which of the numbers given

are rational?

Select all that apply:

8.634092...

6.28232

7144

1.465359...

32.71481

**Answer:**

7144

**Step-by-step explanation:**

I will give Brainliest answer!

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

Height= 11.5 cm

Radius= 6 cm

**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:**

:))

guys someon about to comit u know what so go to this link and help out

https://brainly.com/question/22760250

**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

help with math!!

Find the volume of each right rectangular prism

**Answer:**

7: 7.75 8: 6.98

**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?

**Answer:**

3 liquid gallons

**Step-by-step explanation:**

3 + 4 + 5 = 12

12 ÷ 4 = 3 liquid gallons

PLEASE HELPP!!!!

Please find the areas of these shape

The answer of the First one is 76

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.

**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

**Answer:**

She earned 221.25 in commission

**Step-by-step explanation:**

2.5% of 8850 is 221.25

Determine if the triangle is a right triangle.

**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

What is the answer please help no links I will report

**Answer:**

6

**Step-by-step explanation:**

because its the middle number

help please it needs to be don by 4:00

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

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

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

**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.

⚠️⚠️⚠️⚠️⚠️⚠️⚠️⚠️⚠️⚠️⚠️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.

**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.

**P****L****EASE ****MARK ****AS ****BRAINLIEST **

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

**Step-by-step explanation:**

480 is the answer // provide picture for better answer

What is the correct equation for this phrase?

Nine less than twice a number.

**Answer:**

[tex]2k - 9[/tex]

**Step-by-step explanation:**

jsjsjsjsjjsjsksksksksksksksksksjskkwjwjwjwkw

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?

**Answer:**

9.8

**Step-by-step explanation:**

can someone help me pls?

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

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

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

**Answer:**

85/100*x=51

**Step-by-step explanation:**

85x=5100

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?

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

Write 2.83 as a mixed number and as an improper fraction.

Do not try to simplify your 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

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

**Answer:**

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

**Step-by-step explanation:**

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

**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 ^^

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?

**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

what is solution to 8x=2/3

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?

**Answer:**

yes they both equal 1

**Step-by-step explanation:**

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

**Answer:**

90 degrees

**Step-by-step explanation:**

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

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**.

What are the major crops of our country Class 8?
All death-row inmates are held in ________ prisons.
In what Supreme Court case did the Court rule the school may restrict student speech in a school newspaper?
In which of the following ways are the processes that occur in electrolytic cells the opposite of those occuring in galvanic cells? Select all that apply. O In electrolytic cells, chemical energy is produced from electrical energy. In galvanic cells, the converse is true. O Electrolytic cells contain nonspontaneous reactions, while the reactions in galvanic cells are spontaneous. O In electrolytic cells, reduction occurs at the anode rather than at the cathode (as it does in galvanic cells). O In electrolytic cells, the cathode is negatively charged, while the anode is positively charged (the reverse is true for galvanic cells)
What does revenge mean as a theme?
How has the family survived financially for the last few years?by selling jewelryby renting their homeby selling items in the streetby the money Gregor earned at his job
Although you usually believe that personality tests are not usedful in hiring context, you feel they are appropriate in this case because the interviewer took the time to explain why the organization uses them and how they will be used. You are unhappy after leaving a job interview bc the interviewer ate her lunch and took two calls while you were being interviewed for the job.
How do the key details in the passage develop the central idea that a persuasive speaker?
CHEMICAL BONDING POGIL Activity 3 - Wher in a name? Oblective: Identify some simple rules about nomenclature naming The Mode Examine the table below, and answer the following questions Table 2 Cation No Anton Chemical Parmela NC CO ZnC Ls KIN Compound Name sodium chloride calcium oxide une chloride lithium sulfide potassium nitride Na Reviewing the Model 1. Are ALL cations positive ions or negative ions? posve 2. Are ALL anions positive ions or negative ions? negalve 3. What is the name of the compound formed by the combination of u and slons? Lithium suced Exploring the Model 4. When the name of an ionic compound is given, which ion is stated first? Cahon 5. Compare the first part of the compound name to the name of the element from the periodic table. How does the name of the cation correspond to the name of the element? 6. Compare the second part of the compound name to the name of the element from the periodic table. How does the name of the anion correspond to the name of the element? 7. From what part of the periodic table do the cations in the Model come metals or nonmatals)? Alkali and alkaline earth 8. From what part of the periodic table do the anions in the Model come? 4
What rigid motion maps the solid-line figure onto the dotted-line figure?A reflectionB. rotationC. translation
Write a rule that would dilate a figure from the origin by a scale factor of 4.* 1 pointYour answerWrite the coordinates of (-2, 8) after it is dilated from the origin by a scalefactor of 1/2.(-2,8)(2,8)O (1.4)O (4,-1)Write the coordinates of the point (2, 3) after is has been reflected acrossthe y-axis.O (2,3)O (-2,3)O (3,2)(3, 3)*1 pointYour answer* 1 pointState the scale factor to dilation from the origin point A (4, 3) to point A' (12, * 1 point9).
Can somebody please help me because I dont understand
D'aja wants to show the increasing number of tsunamis in the world in the last twenty years. Which text feature would best allow the audience to understand the connection?(A) A chart showing how high the ocean waves get during a tsunami(B) An image of a cutout of an ocean experiencing a tsunami(C) A note at the bottom of the page listing the years of large-scale tsunamis that have occurred in the last 20 years(D) A special subheader that summarizes the method scientists use to collect data
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Estimate the incremental cancer risk for a 60-kg worker exposed to a particular carcinogen under the following circumstances. Exposure time is 5 days per week, 50 weeks per year, over a 25-year period of time. The worker is assumed to breathe 20m3 of air per day. The carcinogen has a potency factor of 0.02 (mg/kg-day)-1 and its average concentration is 0.05mg/m3. Average Life is 70-year.1year=365 day
What are elements with 2 electrons called?
eight more than five times a number is twenty thirds. find the number.
TRUE/FALSE. nafta multiple choice has increased the standard of living in the north african member nations. benefits workers in the participating nations but hurts consumers by raising prices. allows completely unrestricted movement of goods, services, and resources between the member nations. has reduced most trade barriers between canada, mexico, and the united states.