Mathematics High School

Instructions: Use the ratio of a 30-60-90 triangle to solve for the variables. Leave your answers as radicals in simplest form.

Instructions: Use The Ratio Of A 30-60-90 Triangle To Solve For The Variables. Leave Your Answers As

Answers

Answer 1

Answer:

n=42, m=42[tex]\sqrt{3}[/tex]

Step-by-step explanation:

The side opposite the 30° angle is half the size of the hypotenuse. So, 84/2=42. Now, the side opposite the 60° angle is shown as 84/2 · [tex]\sqrt{3}[/tex], which is the same as 42√3.

Related Questions

Can someone please check my answer?!

Answers

I think that’s the correct one:)

Which rational number is NOT greater than point A?

A. 214
B. 1.95
C. 2.05
D. 1624

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Step-by-step explanation:

) Every positive rational number is greater than 0. 

(ii) Every negative rational number is less than 0.

(iii) Every positive rational number is greater than every negative rational number. 

(iv) Every rational number represented by a point on the number line is greater than every rational number represented by points on its left. 

(v) Every rational number represented by a point on the number line is less than every rational number represented by paints on its right

b

TRANSLATIONS on the coordinate plane plz help me​

Answers

here use this bud figure it it out

You earn a $12 weekly allowance. Would you rather get a 20% increase or $15 a week? Why?
(PLEASE SOMEONE ANSWER THIS A S SOON AS POSSIBLE!!!)

Answers

Answer:

$15 a week

Step-by-step explanation:

A 20% raise is $14.40 a week

If f(x)=−x2−8x+7 and g(x)=x−1, what does (g−f)(x) equal?
A)(g−f)(x)=−x2−9x+8
B)(g−f)(x)=−x2−7x+6
C)(g−f)(x)=−8x+8
D)(g−f)(x)=x2+9x−8

Answers

Answer is D we just have to subtract f(x) from g(x)

Mr.Rios took his family to dinner the food amounted to $75.00 the restaurant also charges a %4 tax because the service was great he decided to leave the server an 18% tip

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Answer:

what is your question

Step-by-step explanation:

I need some help on this ​

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Answer: A

Step-by-step explanation: A function means that your x can only have one y but your y can have multiple x's.

If in a stick of chalk, 3 gram is carbon, what is the weight of the chalk piece?

Answers

Answer: . Hence the weight of chalk stick is 25 g

Step-by-step explanation: Quantity of Carbon in chalk stick = 3 g Let the weight of chalk be x g. Hence the weight of chalk stick is 25 g

what property is (4y+1) x 0 = 0

Answers

Answer:

5y

Step-by-step explanation:

if u have 4y+1 it just =5y

Answer:

zero product property

Step-by-step explanation:

any number times 0 = 0

(the property might be called something else at your school)

Greg ran for president of the chess club, and he received 21 votes. There were 60 members in the club. What percentage of the club members voted for Greg?

Answers

35%.
21 is 35% of 60.
HAVE A GUD DAY!

Find the area of this circle . Use 3 for pi

Answers

Answer:

588

Step-by-step explanation:

3 x 14 x 14 ( or 14^2) is 588

hope this helped!!

Choose the country which helped India to set up Bhilai Iron and Steel plant in 1959.
a) United States of America

b) Soviet Union

c) Japan

d) France

Answers

Soviet union, union of Soviet socialist republic

determining slope and y-intercept
Use the following table to answer questions #15 and #16.

Answers

Answer:

Slope. -2.5

Y-intercept. 15

If your driving 60miles an hour and you drive for 1hour how far do you travel?​

Answers

Answer:

60 miles

Step-by-step explanation:

1 hour=60 miles

1 hour=60 miles

To solve this problem, we’ll utilize the “time-speed-distance” relationship which is expressed by the formula d = rt, i.e., distance d is equal to speed r multiplied by time t.

The given information in this problem gives us: the speed of r = 60 mi/hr traveled over a distance of 1 mile. We need to find how much time, t, it took to travel a distance d of 1 mile at a speed r = 60 mi/hr, that is:

d/r = t or

t = d/r

Substituting the known values for d and r into the above equation, we have:

t = 1 mi./(60 mi/hr)

t = (1/60) hr.

t = (1/60) hr. (1)

t = (1/60) hr. (60 min./1 hr.)

t = (1/60)(60/1) min.

t = 1 minute ( or 60 seconds) to travel 1 mile at a speed of 60 miles per hour.

Which square root is between 4 and 5?
O 10
O 14
O24
O 32

Answers

Answer:

√24 because it's lies on between of√16 and√25.

The only square root that falls between 4 and 5 is √24.

What is Number system?

A number system is defined as a system of writing to express numbers.

We can estimate the value of each square root and see which one falls between 4 and 5:

The value of √10 is less than 4 because √10 is, 3.16

√14 is less than 4.5 because  √14 value is 3.76

√24  is greater than 4.5 because √24 value  is 4.89

√32  is greater than 5 because 5 x 5 = 25, and √32 is slightly smaller than 5.

Therefore, the only square root that falls between 4 and 5 is √24.

To learn more on Number system click:

brainly.com/question/22046046

#SPJ7

Complete the table for the given rule.
Rule: y= 1/3x

Answers

Answer:

Rule: Y = 1/3x

Slope: 1/3

Y- intercept: (0,0)

X- Intercept: (3,1)

I have answered have a good day.

A tip for great service is 20% of the bill. If the bill for dinner is $32, what is the total cost of dinner?

Answers

[Aforementioned Text Is Unavailable, Please Try Again Later]

The image of the point (-2, 2) under a translation is (-3, 5). Find the coordinates of the image of the point (-3, 1) under the same translation.

Answers

Translated up 3 units and left 1 unit

(-3, 1) would become (-4, 4)

please help

the x =

the box-


the T-

Answers

Answer:

x²=25

x=25½

x=5

...................

Share 39 in the ratio 3:3:7

Answers

Answer:

9 : 9 : 21

Step-by-step explanation:

sum the parts of the ratio, 3 + 3 + 7 = 13 parts

Divide 39 by 13 to find the value of one part of the ratio

39 ÷ 13 = 3 ← value of 1 part of the ratio, then

3 parts = 3 × 3 = 9

7 parts = 7 × 3 = 21

Then 39 in ratio 3 : 3 : 7 = 9 : 9 : 21

14. Write the ratio 15:5 with second term 1.
a. 10:1
b. 3:1
C.
11:1
d. 5:1

Answers

Answer:

your answer would be b

Step-by-step explanation:

if you divide each side by 5 you get

15/5:5/5

3:1

hope this helps! have a nice day!

B

5/1 = 1
15/5= 3

So 3:1

Find the radius x of OC.
a) 4
b) 6
c) 12
d) 12.8

Answers

Answer:

the correct answer is 6..... option b

PLEASE HELP URGENT WILL MARK BRAINLIEST

Solve System by writing the system of Linear equations Jason reached into his pocket and pulled out 13 coins and noticed he only had quarters and dimes. If the value of the coins was $2.65 how many quarters did he have?

Answers

Answer:

he had nine quarters and four dimes

answer:
90 quarters and four dimes

solve for slope y intercept and the equation please ​

Answers

Answer:

y=x-5 slope=1 y-intercept=-5

Step-by-step explanation:

select all the statements that are true (YOO SOMEONE)

Answers

Answer:

Step-by-step explanation:

so we see that the triangle is getting bigger this means that B, D,E are true I think

If my answer helps please mark as brainliest.

Carmen needed 23 of a yard of fabric to make a shirt and a 12 yard of fabric to make a matching skirt. How much total fabric did Carmen need to buy? 1 yard of fabric 1 yard of fabric 34 yard of fabric , 3 fourths, yard of fabric 116 yards of fabric , 1 and 1 sixth, yards of fabric 56 yard of fabric

Answers

Answer:

38/3 yards

Step-by-step explanation:

Given that,

Fabric required to make a shirt = 2/3 of a yard

Fabric required to make a skirt = 12 yards

Total fabric needed,

[tex]x=\dfrac{2}{3}+12\\\\=\dfrac{38}{3}\ yards[/tex]

Hence, 38/3 yards of fabric is needed.

8. The table below shows the number of students enrolled at Mapleton High School since 2002. Write
an equation for the line of best fit, then predict the number of students enrolled in 2011.
20022892
2003 3042
2004 | 3087
2005 3136
2006 3296

Answers

The equation for the line of best fit shows the relationship between the number of students enrolled

The equation for the line of best fit, then predict the number of students enrolled in 2011 is [tex]y = 90.2x - 177670.2[/tex]

How to determine the equation of the line of best fit

To do this, we make use of a graphing calculator that has the following calculation summary

Sum of X = 10020Sum of Y = 15453Mean X = 2004Mean Y = 3090.6Sum of squares (SSX) = 10Sum of products (SP) = 902b = 90.2a = -177670.2

A regression equation is represented as:

[tex]y = bx + a[/tex]

So, we have:

[tex]y = 90.2x - 177670.2[/tex]

Hence, the regression equation is [tex]y = 90.2x - 177670.2[/tex]

Read more about regression equations at:

https://brainly.com/question/26347582

Find all numbers whose absolute value is -7. If there is more than one, separate them with commas.

Answers

Absolute Value Is ALWAYS Positive. Therefore, the answer should be none.
None

Cause the absolute value doesn’t equal to negative number

Kevin and Christy both saved money for their class trip. Kevin saved the same amount each week. The total amount that Kevin saved at the end of every two weeks is shown in the table below.

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Answer:

Step-by-step explanation:

Find the amount and compound interest on 5000 at 6% per annum for 3 years annual

Answers

Answer:

The amount is 5,955.08

Step-by-step explanation:

Here, we want to calculate compound interest

We can find this by using the compound interest formula

A = P( 1 + r/n)^nt

A is amount

P

is the principal = 5,000

r is the interest rate = 6% = 6/100 = 0.06

n is the number of times per year in which the interest is compounded = 1

t is the number of years = 3

Substituting these values;

A = 5,000(1 + 0.06/1)^3(1)

A = 5000(1.06)^3

A = 5,955.08

Other Questions
We apply this principle when" your body adapts to the activity and the exercise becomes to easy."Overload?specificty?Progression?Reversibility? W + BgCz2 --> WCz + BgBalance this equation A gym charges an initial fee plus $25 per month. John paid $200 for six months. Assume the relationship is linear.a.What is the rate of change and what does it mean in context to the situation?b. What is the initial value and what does it mean and context to the situation?i will give brainliest!!!!! Help me please 30 points this is the question Help meeee pleaseeeeee THE COFFICENT OF y in term -y /3 is how many inches are in 3 yards Fill in the blanks. (With picture) 15 pts(Simplify your answers. Use integers or fractions for any numbers in the expressions. What is an equation of the line that passes through the point (3,-1)(3,1) and is parallel to the line 5x+3y=65x+3y=6? Help me plsssAnd show identity. Thank you:) Find the greatest common factor of 12c^3 and 20n^4 Pasadena Candle Inc. budgeted production of 785,000 candles for January. Each candle requires molding. Assume that six minutes are required to mold each candle. If molding labor costs $18 per hour, determine the direct labor cost budget for January. Wax is required to produce a candle. Assume 487,125 pounds of material will be purchased during January. The candle wax costs $1.24 per pound. Prepare a cost of goods sold budget for Pasadena Candle Inc. using the information above. Assume the estimated inventories on January 1 for finished goods and work in process were $200,000 and $41,250, respectively and direct materials wax inventory of 16,000 pounds. Also assume the desired inventories on January 31 for finished goods and work in process were $120,000 and $28,500, respectively and direct materials wax inventory of 12,500 pounds. Factory overhead was budgeted at $300,000. For those boxes in which you must enter subtracted or negative numbers use a minus sign. -1. A coffee shop spends $400 for an order of 20 cases of paper cups. How much isone case of paper cups? Write and solve an equation. pls help me i need the answer right now we the people of the United States, in order to form a more perfect union, establish justice, ensure domestic tranquility, provide for the common defense, promote the general welfare, and secure the blessings of liberty to ourselves and our posterity he, do ordain and establish this constitution for the United States of America. Which idea is expressed in the excerpt from the constitution? A. The structure of the government will change over time B. it is more important for the government to run efficiently than to protect individual rights C. and individuals rights to justice is something the government can protect D. The powers of government should be separated among its branches What did the 17th amendment do? which side in PLWRK corresponds to XS of XCMESA. PKB. WKC. RLD. RW An Led Light bulb is rated 14 W. How much energy will the light bulb consume if it is on for 1 hour (3600 seconds) Monique bought 3 boxes of cereal at the grocery store. Each box of cereal costs c dollars. Which equation represents the total amount of money, t, Monique spent on cereal?