What is the length of the short leg in the 30-60-90 triangle shown below?

What Is The Length Of The Short Leg In The 30-60-90 Triangle Shown Below?

Answers

Answer 1

Answer:

it is D. 5

Step-by-step explanation:

The long side (B) will always be (A root 3) meaning, if you just take away the square root of 3, then you get the short side A

Answer 2

Answer:

[tex]\boxed{Shortest\ Leg = 5}[/tex]

Step-by-step explanation:

Tan θ = [tex]\frac{opposite}{adjacent}[/tex]

Where θ = 60 , opposite = [tex]5\sqrt{3}[/tex] and adjacent = shortest leg

=> Tan 60 = [tex]5\sqrt{3}[/tex] / shortest leg  (Tan 60 = √3)

=> Shortest Leg = [tex]\frac{5\sqrt{3} }{\sqrt{3} }[/tex]

=> Shortest Leg = 5


Related Questions

Write the following decimals as fractions.

Answers

Hi there! Hopefully this helps!

-------------------------------------------------------------------------------------------------------

0.77 as a fraction is 77/100.

~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

0.2904 as a fraction is 2904⁄10000 unsimplified. (Simplified would be 363⁄1250)

Answer:

8a) 0.2904=363/1250

8b) 0.77=77/100

Step-by-step explanation:

Given: f(x) = xand g(x) = x +1, find g[f(-2)].
1
5
-3

Answers

Answer:

-1

Step-by-step explanation:

f(x) = x

g(x) = x +1,

g[f(-2)].

First find f(-2) = -2

Then substitute into g(x)

g(-2) = -2+1

        =-1

After all the breaking down I would say it’s negative one (-1)

PLEASE PLEASE HELP WILL MARK BRAINLY

Answers

Answer:

The second option (see attached image)

Step-by-step explanation:

You are looking for a box diagram that represents 9 units, and from those, clearly marked sections that contain 3/2 = 1.5 units.The idea is to count how many 1.5 units you have in 9 units.

The in the second diagram you see 9 boxes subdivided in half. Then outlined in red other smaller boxes of length 1.5 units. We can clearly see from the diagram that there are exactly 6 of these smaller 1.5 units red boxes to produce the total 9 unit object.

What is the middle term of the product of (x - 4)(x - 3)?

Answers

Answer:

- 7x

Step-by-step explanation:

Given

(x - 4)(x - 3)

Each term in the second factor is multiplied by each term in the first factor, that is

x(x - 3) - 4(x - 3) ← distribute both parenthesis

= x² - 3x - 4x +  12 ← collect like terms

= x² - 7x + 12

with middle term = - 7x

Answer:

Step-by-step explanation:

= x(x-3) - 4(x-3)

= x²-3x - 4x + 12

= x² -7x +12

So -7x is the middle term

Plz help me I do not understand this Plz show your work 4x-8=16

Answers

Answer:

x = 6

Step-by-step explanation:

First, add 8 to both sides.

4x - 8 = 16

4x - 8 + 8 = 16 + 8

4x = 24

Then, divide 4 from each side.

4x ÷ 4 = 24 ÷ 4

x = 6

Hope this helps.

Answer:

x = 6

Step-by-step explanation:

Well to solve for x in,

4x - 8 = 16

We use the commutative property which is the moving of numbers and variables to either side of the equation.

So 4x - 8 = 16

+8 to both sides

4x = 24

Divide 4 by both sides

x = 6

Thus,

x is 6.

Hope this helps :)

795.800.913.789
seven hundred ninety-five billions eight hundred sixty millions, nine hundred thirteen thousands, seven hundred
eighty-nine
seven hundred and ninety-five billion, eight hundred and sixty million, nine hundred and thirteen thousand, seven
hundred and eighty-nine
seven hundred ninety-five billion eight hundred sixty million nine hundred thirteen thousand, seven hundred eighty.
nine
seven hundred ninety-five billion eight hundred six million nine hundred thirteen thousand, seven hundred eighty-nine
Submit
Reset

Answers

Answer:

seven hundred ninety-five billion eight hundred million nine hundred thirteen thousand seven hundred eighty-nine

Hi. Please i need help with this question.
Please show workings.

Answers

Answer:

A =176 m^2

Step-by-step explanation:

The area of the floor is length times width

A = lw

A = 16* 11

A =176 m^2

Answer:

176 cm^2

Step-by-step explanation:

Given:

length=16m

width=11m

height=9m

We don't use the height in calculating since we are looking for the area of a rectangular carpet.

Required:

a=?

Formula:

a=l*w

whereas l is length and w is width

Solution:

a=l*w

a=16cm*11cm

a=176cm^2

A shortcut to find the answer:

16*11=1,1+6,6=176

Hope this helps ;) ❤❤❤

this one question so plz don't think it is two

Answers

It's point A. 4 vertical units away from point M.

Answer: Point A

Step-by-step explanation:

Point M has the same x value as point A and point A is 4 units below it.

Hope it helps <3

Jackson is attending a lacrosse game that is halfway through the first quarter.
4) What fractional part of the game is left?
5) If 7 minutes of playing time have past, how many total minutes of playin
time are there in the game?
6) How many minutes of playing time are left in the game?

(I'll also need help on the shading for the fraction picture)

Answers

Answer:

4) 1/8

5) 56

6) 49

First shaded boxes = 4/7

Second shaded boxes = 1 out of 8 boxes are shaded = 1/8

Step-by-step explanation:

1/2x1/4=1/8

7X8=56

59-7=49

First shaded boxes = 4 out of 7 are shaded = 4/7

Second shaded boxes = 1 out of 8 boxes are shaded = 1/8

The fractional part of the game is left   [tex]\frac{7}{8}[/tex]  , total minutes of playing time 56 mins and playing time are left in the game is 49 mins .

What is fraction?

A fraction represents a part of a whole or, more generally, any number of equal parts.

According to the question

Jackson is attending a lacrosse game that is halfway through the first quarter

i.e,  Game played = [tex]\frac{1}{2} *\frac{1}{4}[/tex]

       Game played = [tex]\frac{1}{8}[/tex]  

a) fractional part of the game is left

Game left  = 1 -  [tex]\frac{1}{8}[/tex]  (treated complete game as 1 )

                 =    [tex]\frac{7}{8}[/tex]  

b)  If 7 minutes of playing time have past,  

i.e  [tex]\frac{1}{8}[/tex]  part of game is completed in 7 mins

therefore,

1 whole will complete in 7*8 = 56 mins

c) Minutes of playing time are left in the game

As,

total time to complete the game - game played time

=  56 -  7

= 49 mins

as in the fraction of shading question

a) [tex]\frac{4}{7 } is shaded[/tex]

b) [tex]\frac{1}{8}[/tex] is shaded

Hence , the fractional part of the game is left   [tex]\frac{7}{8}[/tex]  , total minutes of playing time 56 mins and playing time are left in the game is 49 mins .

To know more about fraction here :

https://brainly.com/question/6201432

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Complete the point-slope equation of the line through (1,3) (5,1) y-3=?

Answers

Answer:

[tex]\huge\boxed{y-3=-\frac{1}{2}(x-1)}[/tex]

Step-by-step explanation:

Point-slope is:

[tex]y-y_1=m(x-x_1)[/tex]

[tex]m-\text{This represents the slope.}\\\\(x_1,y_1)-\text{This represents the point used in the equation.}[/tex]

Our goal:

We have to complete the point-slope equation of the line through (1,3) (5,1).

--------------------------------------------------------

We have a incomplete equation of the line.

[tex]y-3=m(x-x_1)[/tex]

We need to find the slope of the line, and the value of  [tex]x_1[/tex].

--------------------------------------------------------

Finding 'x1':

It seems that the value of 3 was used to be [tex]y_1[/tex]. This means that the point [tex](1,3)[/tex] was used for the equation. This means that [tex]x_1[/tex] would have to be 1.

Finding Slope:

Slope is rise over run.

[tex]m=\frac{rise}{run}=\frac{y_2-y_1}{x_2-x_1}[/tex]

We are given the points (1,3) and (5,1).

[tex]m=\frac{1-3}{5-1}=\frac{-2}{4}=\frac{-1}{2}=\boxed{-\frac{1}{2}}[/tex]

The slope is one-half.

--------------------------------------------------------

We now have enough information to complete the point-slope equation.

[tex]{\left \{ {{x_1=1} \atop {m=-\frac{1}{2} }} \right.}\\\\y-3=m(x-x_1)\rightarrow\boxed{y-3=-\frac{1}{2}(x-1)}[/tex]

Our final equation is:

[tex]y-3=-\frac{1}{2}(x-1)[/tex]

(13 points!) Use the frequency table. Find the probability that a person goes to the movies at least 8 times a month. Round to the nearest thousandth. 0.343 0.165 0.697 0.883

Answers

Answer:

0.165

Step-by-step explanation:

8 is more than 7.

So, it will be 123 and 123/747 is .1646586345.

.1646586345 rounded to the nearest thousandth is 0.165

Answer:

0.165

Step-by-step explanation:

TRUST ME 100%

PLEASE HELP AS SOON AS POSSIBLE

Answers

Answer:

Picture is down below

Step-by-step explanation:

When you are doing this question you would just graph the points (-4,4) and (4,4) so we would get a width of 8 and you need an area of 8 so the height would just be 1 since the area of a rectangle is l times w. So when you graph it, it would look like this. And the coordinate points would be (-4,4), (4,4), (-4,3),(4,3).

Answer:

Answer is (-4,4), (4,4), (-4,3),(4,3).

Step-by-step explanation:

(-4,4), (4,4), (-4,3),(4,3).

A cube has a side length of 10 inches. Jada says the surface area of the cube is
600 in?, and Noah says the surface area of the cube is 3,600 in?. Remember we
calculate surface area by finding the area of all the surfaces and adding them up.
Here is how each of them reasoned:
Jada's Method:
Noah's Method:
6. 102
6.102
6.100
602
600
3,600
Do you agree with either of them? Explain your reasoning.

Answers

Answer:

I agree with Jada

Step-by-step explanation:

So first you would find the area of one of the faces and it is 100 and then you would multiply the area of one face by 6 because there are 6 faces so you would get 600 inches so Jada would be right

Answer:

Jada is correct in this situation.

Step-by-step explanation: Noah's math is not correct. He goes from 6 times 10^2 to 60^2, which you cannot do. You first must do the exponents (10^2=100) and then multiply it by 6. Jada's method should be similar to that.

ASAP PPL!!!! How many 11-player soccer teams can be formed from 16 total players?

Answers

Answer:

1 team............

Step-by-step explanation:

There is only 16 people and there has to be teams of 11 people. The remainder of 16/11 is 1 so.......only one soccer team can be formed.

Hope that helps and maybe earns a brainliest! :)

solve the inequality 7(v + 8) ≥ 7v + 1

Answers

Answer:

True all for v

Step-by-step explanation:

7(v+8)≥7v+17v+56≥7v+17v+56−7v≥7v+1−7v56≥156−56≥1−560≥−55

All real numbers are solutions.

Why Taraaaaaaa >:C Can somebody please help me?

Answers

Answer:

4 hours

Step-by-step explanation:

3/5 of 8 hours

3/5 * 8 = 4.8 hours

Then she lost 1/6 of the 4.8 hours

4.8 * 1/6

.8

4.8 - .8 = 4

She got 4 hours of sleep

The answer is 4 hours of sleep

The table shows the number of minutes Garrett practiced his trombone each week in one month. Week Number of Minutes Practiced 1 190 2 163 3 327 4 205 What is the mean number of minutes Garrett practiced his trombone each week? A. 197.5 B. 177 C. 245 D. 221.25

Answers

Answer:

[tex]\bar X= \frac{\sum_{i=1}^n X_i}{n}[/tex]

The reason is because we assume that each week have the same weight and replacing we got:

[tex]\bar X= \frac{190+163+327+205}{4}= 221.25[/tex]

And the best option would be:

D. 221.25

Step-by-step explanation:

For this case we have the following data given

Week       1       2         3       4

Minutes  190   163   327   205

For this case we can find the mean with the following formula:

[tex]\bar X= \frac{\sum_{i=1}^n X_i}{n}[/tex]

The reason is because we assume that each week have the same weight and replacing we got:

[tex]\bar X= \frac{190+163+327+205}{4}= 221.25[/tex]

And the best option would be:

D. 221.25

which correctly describes how the graph of the inequality -4 -x >7 is shaded?
A. Above the dashed line
B. Above the solid line
C. Below the solid lime
D. Below the dashed line.

Answers

Answer:

b

Step-by-step explanation:

Jacqueline. Harry, and Stanley bought a pizza pie to share for dinner. Harry ate
of the pie, and then Jacqueline ate of what was left. After Jacqueline
finished, Stanley ate of what was left of the pic. What fractional part of the
pizza pie was left after Stanley finished eating?

Answers

Answer:

1/6

Step-by-step explanation:

Harry 1x1/2=1/2

Jacqueline 1/2x1/2=1/4

Stanley 1/3x1/4=1/12

1-1/2-1/4-1/12=

12/12-6/12-3/12-1/12=

2/12 or 1/6

need to the answer ASAP

Answers

Answer:

321

Step-by-step explanation:

I agree with the first answer but backwards 321

Find the measure of d.

Answers

Answer:

50°

Step-by-step explanation:

Recall that an inscribed angle is half the arc length. Since Angle A measures 50°, this means that the arc length of BC (the intercepted arc) is 100°.

Arc BC is also representative of Angle D. In other words, the measure of angle D is half of 100°.

Angle D = 50°.

Answer:

d = 50°

Step-by-step explanation:

Inside a circle we can have inscribed angles (angles with the three points on the circle). These angles are half the length of the arc they inscribe.

The arc BC is inscribed by the angle of 50°, so we have:

[tex]50 = mBC/2[/tex]

[tex]mBC = 100\°[/tex]

The angle d inscribes the arc BC, so we have:

[tex]d = mBC/2[/tex]

[tex]d = 100/2[/tex]

[tex]d = 50\°[/tex]

can somewon help me i eally need help

Answers

Answer: The answer should be 1/2

Step-by-step explanation:

Answer:

i say 1/6 but pleaseeee dont go off my answer im not 100%

Step-by-step explanation:

The baseball diamond at a playground is a square with sides that measure 60 feet. About how long would a straight line be from home plate to second base? Round your answer to the nearest tenth. A baseball diamond represented by a square oriented so that the diagonal of the square running from home plate to 2nd base is vertical. 7,200 feet 60 feet 84.9 feet 120 feet

Answers

Answer:

84.853 ft

Step-by-step explanation:

A^2 + B^2 = C^2 | 60^2 + 60^2 = 84.853

Answer: 84.853 ft

Step-by-step explanation:

30 points high school geometry question

Answers

Answer:

x = 5

Step-by-step explanation:

9/15 = 3/x

x = 5

X would equal 5

I did this test in high school. smh

HELP ME PLZZZZZZ I NEED HELP

Answers

Answer:

Tossing two coins once.

Step-by-step explanation:

According to the diagram, there are just two outcomes: either H or T.

The spinner has three outcomes, and the cubes have 6 outcomes each, so we can eliminate the top two options.

If the person were just tossing one coin, the outcomes would be H or T, but there are more outcomes than that, so the diagram represents tossing two coins once.

Hope this helps!


2) If Mike fell from (0.35) to (20, 0), determine the slope of his fall.​

Answers

Answer:

-7/4.

Step-by-step explanation:

I'll take it to mean (0, 35)

The slope = (y2-y1)/(x2-x1)

=  (0-35)/ (20-0)

= -35/20

= -7/4.

-7.4 is the answer I’m pretty sure

What is the distance from the origin to point A graphed on the complex plane below?

|5|
|13|
9
13

Answers

Answer:

√13

Step-by-step explanation:

(-3, -2) (0, 0)

distance √(9 + 4) = √13

The distance from the origin to the point A is [tex]\sqrt{13}[/tex] unit.

What is the formula to measure distance between two points ?

Let, the co-ordinates of two points in 2D plane are [tex](x_{1} ,y_{1} )[/tex] & [tex](x_{2}, y_{2} )[/tex]

Then the distance between this two points be d (say)

Therefore, [tex]d=\sqrt{(x_{2}- x_{1}) ^{2}+ (y_{2} -y_{1} )^{2} }[/tex]

What is the required distance ?

The co-ordinate of point A in the graph is (-3, -2)

The co-ordinate of origin is (0, 0)

∴ The distance between (0, 0) & (-3, -2) is = [tex]\sqrt{((-3)-0) ^{2}+ ((-2) -0 )^{2} }[/tex]

                                                                    = [tex]\sqrt{(-3)^{2}+(-2)^{2} }[/tex]

                                                                    = [tex]\sqrt{9+4}[/tex]

                                                                    = [tex]\sqrt{13}[/tex]

Learn more about distance of two points here :

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Each new triangle shown below has one more dot per side than the previous triangle. What is the total number of dots on the 200th triangle of this sequence? first term has 6 second term has 9 third has 12 PLS HELP WILL MARK BRAINLIEST

Answers

Answer: 603 dots

Step-by-step explanation:

Triangle always has 3 sides. Given that

Each new triangle shown below has one more dot per side than the previous triangle. That means if first term has 6 dot, the second term will have 9 dots and third has 12 dots.

The difference between first and the second is the same with the difference between third and the second. That is,

First term a = 6

Difference d = 3

Number of term n = 200

This is arithmetic progression. We can come up with a formula:

Tn = a + ( n - 1 )d

Substitute all the parameters into the formula

Tn = 6 + ( 200 - 1 )×3

Tn = 6 + 199×3

Tn = 6 + 597

Tn = 603 dots

Therefore, the total number of dots on the 200th triangle of this sequence is 603 dots.

PLEASE HELP The coefficients of the first four terms in the expansion of (a + b) ^5 are a) 1, 3, 5, 7 b) 1, 4, 6, 4 c) 1, 2, 3, 4, 5 d) 1, 5, 10, 10

Answers

Answer:

D is the correct answer

Step-by-step explanation:

Fifth row of Pascal pyramid is 1 , 5, 10, 10, 5 , 1

The expansion should always have n + 1 number of terms

Where n is the power

Answer:

answer is D

Step-by-step explanation:

30. Three apples plus twice as many pears add up to one-half the number of grapes in a fruit basket. How many grapes are
in the basket?
(A) 8
(B) 18
c.28
d.38​

Answers

Answer:

3 + 6 = 1/2(#grapes)

3 + 6 = 9

9 = 1/2(#grapes)

2(9) = 1(#grapes)

18 = # of grapes

Step-by-step explanation:

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