This is a 30-60-90 triangle.
What is the measure of x?
Rationalize the denominator.
[?]
х
X=
7

This Is A 30-60-90 Triangle.What Is The Measure Of X?Rationalize The Denominator.[?]X=7

Answers

Answer 1

Answer:

x = [tex]\frac{2\sqrt{21}}{3}[/tex]

Step-by-step explanation:

For a 30-60-90 triangle:

Short leg = sLong leg = s√3Hypotenuse = 2s

Thus:

Short leg = √7/√3 = (√21)/3Long leg = √7Hypotenuse = x = 2(√21)/3
Answer 2

Answer:

2 21 3

Step-by-step explanation:


Related Questions

Find the area of this figure! (Don’t give me a big explanation, i have 30 mins to get this ixl to 90, currently at 74)

Answers

315 m²

area of rec + area of rec + area of rec +  area of triangle

⇒ length + width + length + width + length + width + 1/2 * base * height

⇒ 19 * 6 + 9 * 9 + 18 * 5 + 1/2 * 12 * 5

⇒ 90 + 30 + 81 + 114

⇒ 315 m²

Answer:

315 m²

Step-by-step explanation:

As this figure may seem complicated, we can split it into four separate figures.

Area

Area of vertical rectangle + Area of left horizontal rectangle + Area of right horizontal rectangle + Area of triangle6 x 10 + (9 + 6) x (19 - 10) + 18 x 5 + 1/2 x 12 x (18 + 9 + 6 - 17 - 11)60 + 15 x 9 + 90 + 6 x 560 + 135 + 90 + 30180 + 135315 m²

Four equations are graphed on the coordinate grid:

A coordinate grid is shown from negative 10 to positive 10 on the x axis and also on the y axis. Line A passes through the ordered pairs negative 8, 5 and 4, negative 7. Line B passes through the ordered pairs negative 3, 8 and 2, negative 7. Line C passes through the ordered pairs 0, 9 and negative 7, negative 5. Line D passes through the ordered pairs 1, 4 and negative 4, negative 1 and is extrapolated further in the quadrant.

Which set of equations has (−2, 5) as its solution?

A and B
B and D
B and C
A and D

Answers

Answer:

B and C

Step-by-step explanation:

The point where (-2,5) is located is also a intersection between the line B and C.

Solve for x as well as rounding to nearest tenth please<3

Answers

Answer:

33.6

Step-by-step explanation:

Hyp = 24

theta = x

Adj = 20

we have h and a so you CAH

costheta = (20/24)

theta = cos^-1(20/24)

Solve 64x2 - 121 = 0 using square roots.

Answers

Using the square root property to solve this 64x² - 121 = 0, the value of x is - 11 / 8 and 11 / 8.

How to solve quadratic equation using square root property?

64x² - 121 = 0

add 121 to both sides of the equation

64x² - 121 + 121 = 0 + 121

64x²  = 121

divide each term by 64 and simplify

64x² / 64  = 121 / 64

x² = 121 / 64

Take the square root of both sides of the equation to eliminate the exponent on the left side

√x² = ±√ 121 / 64

Simplify the right side of the equation.

x = ± 11 / 8

Therefore,

x = 11 / 8, - 11 / 8

learn more on square root property here: https://brainly.com/question/3506989

How much will be in the jar?

Answers

Answer:

option B 1 1/6

amount of paint:

1/2 * 1 + 1 * 3 + 1 1/2 * 1 + 1 * 27

If divide into 6 jars:

7/61 1/6

[tex]\qquad\qquad\huge\underline{{\sf Answer}}♨[/tex]

let's solve ~

Total jars = 6

Total cups of blue paint :

[tex]\qquad \tt \dashrightarrow \: \frac{1}{2} + (1 \times 3) + 1 \frac{1}{2} + 2[/tex]

[tex]\qquad \tt \dashrightarrow \: \frac{1}{2} + 3 + \frac{3}{2} + 2[/tex]

[tex]\qquad \tt \dashrightarrow \: \frac{1 + 6 + 3 + 4}{2} [/tex]

[tex]\qquad \tt \dashrightarrow \: \frac{14}{2} [/tex]

[tex]\qquad \tt \dashrightarrow \:7 \: cups[/tex]

So, teacher distributes all blue paint equally in each jar, then amount of paint in each jar is :

[tex]\qquad \tt \dashrightarrow \: \dfrac{7}{6} [/tex]

[tex]\qquad \tt \dashrightarrow \:1 \frac{1}{6} \: \: cups[/tex]

So, option B is correct

please help right now 40 POINTS

Answers

Answer:

I disagree a basketball player is not dependent on the on one event that Is an event does not affect another

A solid box with height 60cm, width 10cm and length 10cm needs to be painted.
The paint costs £0.17 per cm2.
How much will it cost to paint the outside of the box?

Answers

Answer:

£442

Step-by-step explanation:

see vid on how to calculate cm² of a box here

Answer:

17cm²

Step-by-step explanation:

area of box =l×w

10cm×10cm=100cm²

0.17×100cm²=17cm²

please help!! no bots!!

Find the area of this figure.
Round your answer to the
nearest hundredth. Use
3.14 to approximate TT.
A = [?] ft²

Answers

[tex]\bold{ANSWER:}[/tex]
A = 26.14 ft^2

[tex]\bold{EXPLANATIONS:}[/tex]

Esther is building a tower of cubes. The ratio of red to yellow cubes is 3:1 The tower has 6 yellow cubes. How many red cubes are there? please help me​

Answers

Answer:

18

Step-by-step explanation:

We can rewrite the question into mathematical forms, such as:

[tex]\frac{3}{1} =\frac{x}{6}[/tex]

solve for x:

[tex]\frac{3}{1} =\frac{x}{6} \\\\3*6=\frac{x}{6}*6\\\\18=x[/tex]

p.7 Central Angles and Inscribed Angles
#4 What is the measure, in degrees, of arc JKI ?
4) JKI
80°
K
mJKI =
degrees


Helppp me

Answers

Answer:

280°

Step-by-step explanation:

There are 360° in a circle. you are given an arc that is 80°.

To find the arc JKI, subtract 80 from 360.

360 - 80 = 280°

PLS HELP ASAP!!

Choose the correct line of best fit for each of the scatter plots below.

Answers

Here you go! I have drawn lines connecting the matches :)

Please tell me how to solve this. if two people answer and one is the most specific, I will mark Brainliest.

Answers

Answer:

3.

Step-by-step explanation:

You use a "centroid." There is a ratio. As provided, MW is 9. The ratio is 1:2, and CW is smaller. The answer is 3.

"The centroid is also known as the geometric center of the object. The centroid of a triangle is the point of intersection of all the three medians of a triangle. The medians are divided into a 2:1 ratio by the centroid." -cuemath .com > geometry > centroid-of-a-triangle

If m2=n , then the square root of

Answers

Answer:

m = ± [tex]\sqrt{n}[/tex]

Step-by-step explanation:

m² = n ( take square root of both sides )

m = ± [tex]\sqrt{n}[/tex]

Each railroad car in a train set is 6 inches in length.the railroad track is 5 feet long .how many railroad cars can fit on the track

Answers

Answer: 10 cars

Step-by-step explanation:

We know that:

A railroad car is 6 inches long and the railroad track is 5 feet long

Start by converting feet to inches. You can do that by multplying the amount of feet by 12.

5 feet x 12 = 60 inches

Now we can divide the length of the railroad track by the length of the railroad cars to see how many we can fit.

60 ÷ 6 = 10

(a)
Y is
inversely proportional to the square of x.
The Given that y = 10 for a particular value of X,
find the value of y
when this value of x
is halved.

Answers

Answer:

y = 40

Step-by-step explanation:

y = k/x²

Let a = the x-value corresponding to y = 10

For x = a, y = 10

10 = k/a²

k = 10a²

The function is:

y = 10a²/x²

Now we halve the x-value a:

Let x = a/2.

y = 10a²/x²

y = 10a²/(a/2)²

y = 10a²/(a²/4)

y = 40

5. Jane invests $5,000 in a stock that loses 2% per year on average. Eqn:​

Answers

Answer:

The equation would be 5000(1.02)^x with x representing the amount of years, as the values keep multiplying.

Step-by-step explanation:

please mark brainliest if you can thx <3

Answer:

5000(0.98)^x, with x being the amount of years

What can you help me with on khan academy 6th grade?

Answers

I could help you with math

Genevieve needs to buy some uniform shirts for her new job. Store A sells uniform shirts for $12 each. Store B sells uniform shirts for $14. 50 each. Genevieve has a coupon for $10 off her purchase at Store A and another coupon for $20 off her purchase at Store B.

Write an

equation that can be used to determine s, the number of uniform shirts Genevieve can buy to

make the total purchase price the same for each store.

Answers

Therefore, the resulting expression for the price Genevieve will pay

will be:  p - 100 - 3/20p

-lukelaws

The baseball game started at 7:00 p.m. It ended at 9:15 p.m. How long did
the baseball game last?

Answers

Answer:

2 hours 15 minutes

Step-by-step explanation:

7+2 =9

00+15 =15

Answer:

2 hours and 15 minutes

Step-by-step explanation:

2 hours and 15 minutes

7pm - 8pm = 1 hour

8pm - 9:15 = 1 hour 15 minutes

1 hour + 1 hour +15 minutes = 2 hours 15 minutes

what would be the answer for a triangle with a hypotenuse of 7 and a leg of 5

Answers

Answer:

With this hypotenuse calculator you will quickly find this longest side of a right triangle. If you want to know what is the hypotenuse

Step-by-step explanation:With this hypotenuse calculator you will quickly find this longest side of a right triangle.

peaches cost 1.79 per pound what equation is used to find c the total cost for p pounds of peaches

Answers

Answer:

[tex]\huge{\boxed{\bf\:1.79 * p}[/tex]

Step-by-step explanation:

Given,

Cost of 1 pound of peaches = 1.79

If pounds of peaches = p, then,

Cost of p pounds of peaches

= Cost of 1 pound × p pounds of peaches (p)

= 1.79 × p

[tex]\rule{150pt}{2pt}[/tex]

Find the measure of the arc or angle indicated.
See picture for full problem. Please and thank you so very much!!!

Answers

the answer is 118 degrees

Answer:

Angle D = 118°

Step-by-step explanation:

Check out the attached photo.

Sonnie deposited $2,500 into an account that earns simple interest. After 5 years, she earned $375 in interest. What was the interest rate of the account?

Answers

Answer:

  3%

Step-by-step explanation:

The interest on the account is given by the simple interest formula:

  I = Prt

where I is the interest, P is the principal invested, r is the annual rate, and t is the number of years

  375 = 2500r(5) . . . . . . using the given values in the formula

  375/12500 = r = 0.03 . . . . . divide by the coefficient of r

Sonnie's account had a 3% interest rate.

Solve for Y. Will mark branliest please help!

Answers

Answer:

y = 2 v2, 2 square root 2

Step-by-step explanation:

since it's a right triangle with a 45°, that means the other angle is also 45°

which makes both sides the same

Pythagoras

4^2 = y^2 + y^2

16 = 2 y^2

16/2 = y^2

8 = y ^2

v8 = y

2 v2 = y

note: (v = square root)

Answer:

[tex]2\sqrt{2[/tex]

Step-by-step explanation:

The ratios of a 45 - 45 - 90 triangle is [tex]1:1:\sqrt{2}[/tex]

To get 4 for the hypotenuse, you need to mulitpy [tex]\sqrt{2}[/tex] by [tex]\sqrt{8}[/tex].

[tex]\sqrt{2}[/tex] x [tex]\sqrt{8}[/tex] = [tex]\sqrt{16}[/tex]

Simplify.

[tex]\sqrt{16} = 4[/tex]

If you simplify the [tex]\sqrt{8}[/tex], it equals [tex]2\sqrt{2}[/tex].

Since the ratio is [tex]1:1:\sqrt{2}[/tex]

The sides will be [tex]2\sqrt{2}:2\sqrt{2}:4[/tex]

16. Twelve inches is what percent of a yard?

Answers

Answer:

There are 3 feet in one yard, so each foot is 1/3 of a yard/

To find the percentage of each foot, divide 1 by 3

One foot is 33 1/3 percent of a yard.

Twelve inches is 33.33 percent of a yard.

What is Percentage?

Percentage is defined as a number that can be expressed as a fraction of 100.

The statement is

Twelve inches is what percent of a yard

12 inches in terms of % yard

1 inch = 0.0277778 yard

12 inches = 0.333336 yard

In percentage = 33.33 % yard

To know more about Percentage

https://brainly.com/question/13450942

#SPJ2

i need help with this quick pls , please solve 5a​

Answers

Answer:

Step-by-step explanation:

If you use de morgan's laws to write out [tex]-(PvQ)[/tex], it returns -P ^ -Q

And if ^ means 'and', it is showing that (P and Q) and (-P and -Q) which isn't possible since there can't be something that is both true and false. Therefore, it is a contradiction since something can not be true a nd false at the same time.

work out the next term of this quadratic sequence
6 9 15 24 _

Answers

Answer:

36

Step-by-step explanation:

Every next term is added by a multiple of 3

6 + 3 = 9

9 + ( 3 × 2 ) = 15

15 + ( 3 × 3 ) = 24

24 + ( 3 × 4 ) = 36

Answer:

36.

Step-by-step explanation:

The differenes in the terms are 3, 6, 9  so the next difference is 12.

24 + 12 = 36.

A game at the fair involves ping-pong balls numbered 1 to 18. you can win a prize if you correctly choose the 5 numbers that are randomly drawn. what are your chances of winning?

Answers

Answer:

5/18

Step-by-step explanation:

Here,

total numbering balls n(S) = 18

total number of winning balls n(B) = 5

Therefore,

Probability or winning chances P(B)=

n(B)/n(S)

= 5/18

anybody know the answer i need help

Answers

Answer:

Each CD was $14.1.

Step-by-step explanation:

43.50 - 1.30 = 42.2

42.2/3 = 14.1

show how to use the unit circle to find tan60

Answers

[tex]\tan 60^{\circ}~\text{equals y coordinate divided by x coordinate, where }(x,y) = \left(\dfrac 12, \dfrac{\sqrt 3}2 \right)[/tex]

[tex]\tan 60^{\circ}\\\\= \dfrac yx \\\\\\=\dfrac{\sin 60^\circ}{\cos 60^\circ}\\\\\\=\dfrac{\tfrac{\sqrt 3}2}{\tfrac 12}\\\\\\=\dfrac{\sqrt 3}2 \times 2\\\\\\=\sqrt 3[/tex]

tanA=y/x

This rule is enough

Now

y=sinAx=cosA

Here A=60°

tan60=sin60/cos60tan60=√3/2÷1/2tan60=√3
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