Mathematics High School

Find the length of side x in simplest radical form with a rational denominator.
60°
V3
30°
X

Answers

Answer 1

Answer:

Answer:

x = (4√3)/3 units

Step-by-step explanation:

Here we have a right 60,30 Triangle with Side 2 units and Htpotenuse x units.

Now, Sin 60° = Opp. /Hyp Sin 60° = 2/x But we know that, Sin 60° = √3/2 So,√3/2 = 2/x Cross multiplying we get,

x√3 = 4x = 4/√3 Rationalizing the denominator, x = (4/√3) × (√3/√3) x = (4√3)/3 units

Hope it helped and believing you understood it........All the

Step-by-step explanation:

Related Questions

The difference between three times a number and 6 is 33.
I need to write an equation for this someone help!

Answers

Answer:

Step-by-step explanation:

3x-6 = 33

= 3x = 33 + 6

= 3x = 39

x = 13

Jonathan is preparing for a triathlon he biked 3.5 miles on Thursday and 4.25 miles on Friday on Saturday he biked 12 miles how much farther did he bike on Saturday than he did on Thursday and Friday combined

Answers

Answer: 4.25 miles

Step-by-step explanation:

The distance he biked on Thursday and Friday combined is:

= 3.5 + 4.25

= 7.75 miles

On Saturday he biked 12 miles. The number of miles he biked over Thursday and Friday is:

= 12 - 7.75

= 4.25 miles

Please help you don’t even have to solve it, I just need the equation

Answers

Step-by-step explanation:

Since the 2 side lines are parallel,

[tex]2x + 40 + 5x = 180 \\ 7x + 40 = 180[/tex]

(Note that you can further simplify the equation if you wish to, this is a general equation.)

(Equation formed due to Corresponding angles and Sum of angles on the same straight line)

find the value of each variable

Answers

Answer:

x = 16  y= 16√3

Step-by-step explanation:

we know that a angle is 60 degrees. Thanks to this information we can say that x is half the hypothenuse, so is value is 16.

y can be express as √3/2 x 32 = 16√3

What is the slope of the line?

2
-2
1/2
1

Answers

Answer:

the answer to the question is 1

The answer is one, that’s the answer.

help please I really ned it

Answers

Answer:

sqdfnm swfqwef

Step-by-step explanation:

wqfjqwebnkjf qwebf

Q. factorize by regrouping the expression
xy-2x+3y-6

Answers

Answer:

xy-2x+3y-6

(xy-2x) (3y-6)

x(y-2) 3(y-2)

(x+3) (y-2)

hope this answer helps you.....

I need help with all of them please

Answers

Answer:

7) 55 .    8) 30        9) 18

Step-by-step explanation:

Find the length of arc JK.
(Round to the nearest hundredth).

Answers

Convert Ø to radians

30°=π/6

Arc length

s=rØs=2(π/6)s=3.14/3s=1.04ft

(I will give brainiest) Chelsea has just started her own flower business appropriately named Flowers by C.
She knows that she needs to order carnations and roses for her grand opening in order to make
bouquets and vases to sell. She can order a maximum of 300 carnations and 250 roses. The following inequalities represent the total number of bouquets and vases she can make given the
orders she places. Let x represent the number of bouquets and y represent the number of vases.
If she wants to make 18 vases, what is the maximum number of bouquets she can make?

Answers

Answer:

x < -3/5y+ 30

Step-by-step explanation:

x < -3/5y+ 30 for the first one

addboth sides by 6y then divideboth sides by 10

Find the missing lengths of this triangle.

Can someone help me???

Answers

I hope it helps if u didn’t understand it yet i don’t mind explaining it again and good luck

help me plss im beeging

Answers

Answer:

1. x = 12

2. x= 9

3.x = 14

4.x=18

Step-by-step explanation:

9. State Bank pays 5.5 percent interest compounded semiannually on regular
savings accounts. Iva Howe deposited $2,800 in a regular savings account for
2 years. She made no other deposits or withdrawals during the period. How
much interest did her money carn?​

Answers

280 dollars I think

If you do 5.5% x 2year =0.1
2800 x 0.1= 280
Sorry if I'm wrong

Find the volume of the cylinder. Leave your
answer in terms of pi.
8 cm.
8 cm.

Answers

What do the radius and height? There is no picture.

Trina collects 56 oak leaves,38 maple leaves,and 46 birch leaves. what percent of trina's leaf collection is made up of oak leaves?​

Answers

Answer:

40% of 140 because 56+38+46= 140

someone help with this math question!! brainly if correct

Answers

Answer:

option 1) tan (46) = 17/x

Step-by-step explanation:

Please help me!!!!!!

Answers

Answer:

13.5 ft²

Step-by-step explanation:

This is also a trapezoid so we can do this formula:

[tex]A=\frac{a+b}{2} *h\\\\A=\frac{3+6}{2} *3\\\\A=\frac{9}{2} *3\\\\A=4.5*3\\A=13.5[/tex]

A line passes through the points (3, 2) and (6, 1). What is the slope of a line that is perpendicular to this line?

Answers

Answer:5/9 I think

Step-by-step explanation:

Please help meee pleaseee






12

Answers

A. 4

Explanation: If you look at the side bar, you can count and add up the hours of the sleeping children. Hope this helps!!

Answer:

A. 4

Step-by-step explanation:

the answer is 4

i agree with the person above

Plz Help I neeed to know
What is 2+2?

Answers

Answer:

4

Step-by-step explanation:

Answer:

You see the theoretical answer would be 4 but have you ever considered it to be a watermelon????

Step-by-step explanation:

With the 2 numbers added up its 2 fingers plus 2 fingers. Which is 4. BUT

Its 4 not a watermelon

Write each number below in scientific notation! Please Help Me With My Math HW!

Answers

1.) 1.6x10^7

2.) 3.93x10^-5

3.) 6x10

4.) 4x10^3

5.) 8.9x10^4

6.) 3.8x10^-3

7.) 1.25x10^-5

8.) 9.6x10^6

9.) 2x10^-4

10.) 5.8x10^10

11.) 7.5x10^5

12.) 5.8x10^3

13.) 2.678x10^5

14.) 7.12x10^-2

please help and dont put links lol​

Answers

-12, use the percentage formula or a percentage calculator.

Answer:

12% decrease

Step-by-step explanation:

So you have to do V2 aka 132-150 to get -18/150. Then, you multiply it by 100 to get 0.12. they you multiply 0.12 by 100 and you get -12% change, or 12% decrease.

Find the next 2 numbers in the sequence: 7, 28, 49,70, ....

Answers

Answer:

n

Step-by-step explanation:

Answer: 91, and 112

Step-by-step explanation: its is by two each time for example in the 7 time tables you see 7, 14, 21, 28 so the number after 14 and 21 is the next number, hope this helped have a good day or night. :)

Which list orders the numbers from least to greatest

Answers

The second line
least to greatest: -3, -2.4, -21/4, -1.5, -11/8

Using 3.14 for n, what is the volume, to the nearest tenth, of a cone that has a height and of 16 feet and a base with radius 5 feet

Answers

Answer: 418.7

Step-by-step explanation:

https://www.calculatorsoup.com/calculators/geometry-solids/cone.php

find the area of the shape​

Answers

Answer:

Step-by-step explanation:

Answer:

=> 1/4  * [tex]\pi r^{2}[/tex]

=> 1/4 * 3.14 * 4

=> 3.14

Answer = 3.14

Please mark my answer as the brainliest for further answers :)

thank you thank you thank you thank you thank you thank you thank

Answers

Answer:

N = number of guests

N = (150 ± 30)/25

maximum N = 180/25 = 7 maximum

minimum N = 120/25 = 4 minimum

In ΔQRS, the measure of ∠S=90°, QR = 7.7 feet, and SQ = 6.5 feet. Find the measure of ∠R to the nearest tenth of a degree.

Answers

Answer:

57.6°

Step-by-step explanation:

It is always helpful to draw a picture.  Also, you need to memorize all the definitions of the trig functions.  For example,

sine of an angle = opposite side/hypotenuse

In your case, SQ is opposite side to angle R and QR is the hypotenuse

Therefore, sin R = 6.5/7.7

          m∠R =  arcsin (6.5/7.7) = 57.6°

PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!! PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!! PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!! PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!!PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!! PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!! PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!!

Use the slope and y-intercept to write an equation for the red cab.

Answers

Answer:

y=1/4x+6

Step-by-step explanation:

i guess

The first three terms of a geometric sequence are as follows.
2, -10, 50
Find the next two terms of this sequence.
Give exact values (not decimal approximations).

Answers

Answer:

-250, 1250

Step-by-step explanation:

The pattern is to multiply by -5.

2,-10, 50, -250, 1250

Other Questions
A restaurant manager recorded the drinks ordered by 150 customers. Each customer ordered one drink. The results are shown in the circle graph below. How many more customers ordered water or juice than tea or soda? Teresa is going to make 3 batches of cookies. She needs 3/4 milk for each. Her measuring cup only holds 1/4 gallon. How many tines will she need to fill up the measuring cup 3 times 50+12352 do this for 25 points fast please (use PEMDAS) Please help me out................ Clampett, Incorporated, has been an S corporation since its inception. On July 15, 2021, Clampett, Incorporated, distributed $42,500 to J.D. His basis in his Clampett, Incorporated, stock on January 1, 2021, was $36,000. For 2021, J.D. was allocated $11,800 of ordinary income from Clampett, Incorporated, and no separately stated items. How much capital gain does J.D. recognize related to Clampett, Incorporated, in 2021 This school year ___ quickly.A. Is passB. PassingC. Is passingD. Are passing I ___ at the library this morning.A. Studying B. Am study C. Is studying D. Am studying why do scientists study fossils?A. to learn how the planet was formed?B. to study how organism changed over timeC. to observe how drought affected the landscape D. to understand how weathering affected rock layers How many slides should be used to set up the introduction to a literary critique?A : one or two B : two or three C : three or four D : four or five Please help, i will give each 10 points if its correct :) The diversity of dogs today can be attributed to selective breeding,O TrueO False is helpful a tone? helppp pleaseeee 195.43 rounded to the nearest 10th On December 31, Year 3, Alpha Company had an ending balance of $200,000 in its accounts receivable account and an unadjusted (current) balance in its allowance for doubtful accounts account of $300. Alpha estimates uncollectible accounts expense to be 1% of receivables. Based on this information, the amount of uncollectible accounts expense shown on the Year 3 income statement is:______. a. $2.300.b. $2200.c. $1700.d. $2.000. HELP FAST I'LL MARK YOU BRAINLIESTWhich below is not always true about a Rhombus?1. All side are equal2. Opposite sides are equal and congruent3. Consecutive angles are supplementary4. Diagonals are congruent Find the area of the figure What is matter?O A. Anything that can be seen.O B. Anything that can be treasuredO C. Anything that takes up space and has massB. Anything that hasenergy and motion Triangle ABC has vertices A(2, 3), B(0, 3), and C(1, 1). Find the coordinates of the image after a reflection over the x-axis.A B C pleasee help me ill give you brainliest mike ran 1/2 mile during gym class . how many feet did he run. I need some help cuz i don't remember what that long word means!!