Hello!! Please help me ASAP
Using special right triangles show and explain all work for each problem. Each solution and work should demonstrate your understanding of Special Right Triangles (30-60-90 and 45-45-90)
Find the missing side length and angle of this triangle. I've attached the triangle.

Hello!! Please Help Me ASAPUsing Special Right Triangles Show And Explain All Work For Each Problem.

Answers

Answer 1

Answer:

Step-by-step explanation:

The basic 30-60-90 triangle ratio is:

Side opposite to 30° angle is : x

Side opposite to 60° angle is : x √3

Side opposite to 90° angle is : 2x

From the diagram we learn that

x√3 = 10

[tex]x = \frac{10}{\sqrt{3}}=\frac{10*\sqrt{3} }{\sqrt{3}*\sqrt{3}}\\\\x=\frac{10\sqrt{3}}{3}= 5.77\\[/tex]

∠T = 30°, Side opposite to ∠T is AC = 5.77

∠A = 90°, side opposite to ∠A is TC = 2x = 2*5.77 = 11.54


Related Questions

at 1 pm, you start out on your bike at 12 mph to meet a friend who lives 8 miles away. at the same time, the friend starts walking toward you at 4 mph. at what time will you meet your friend?

Answers

Answer:  1:30 PM

It takes 30 minutes

==========================================================

Explanation:

x = number of hours traveled

We'll use the equation

distance = rate*time

You bike at a rate of 12 mph and do so for x hours. That means you travel 12x miles based on the equation above. Your friend travels 4x miles for similar reasoning. Overall, the two of you travel a combined distance of 12x+4x = 16x miles. This combined distance is set equal to the 8 miles (distance between your houses) and you solve for x.

16x = 8

x = 8/16

x = 1/2

x = 0.5

Recall x is the number of hours, so that means it takes 1/2 an hour for the two of you to meet. This is equivalent to 30 minutes since 1/2*60 = 30.

If all of this starts at 1 PM, then you'll meet up at 1:30 PM since we add on 30 minutes to 1 PM to get to this moment in time.

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

Extra info:

You travel 12x = 12*0.5 = 6 miles

Your friend travels 4x = 4*0.5 = 2 miles

Total distance = you+friend = 6+2 = 8 miles

This helps confirm the answer.

If f(x) = x4 + 2x3 – 5x2-x + 6,
what would be the list of
q
possible rational roots?
Arrange your list from smallest to
largest
P =
= [?], [ ], [ ], [ ],[],[],[],[]
Qlo
Enter the number that belongs in the green box.
Enter

Answers

Answer:

Hello,

Step-by-step explanation:

possible rational roots are:

-6/1

-3/1

-2,/1

-1/1

1/1

2/1

3/1

6/1

Please help plssssssss

Answers

Answer:

.38

Step-by-step explanation:

Given that they have green eyes, we only look at the green row

Total is 3+5+5 = 13

Red hair is 5

P( red hair ) red / total = 5/13 =.384615385

Answer:

Condition relative frequency is 0.38

Step-by-step explanation:

P( red hair given that has green hair ):

[tex]{ \boxed{ \bf{P( \frac{red}{green}) }}}[/tex]

From baye's theorem:

[tex]P( \frac{R}{G} ) = \frac{P(RnG)}{P(G)} [/tex]

[tex]{ \sf{ = \frac{5}{(3 + 5 + 5)} }} \\ \\ = { \sf{ \frac{5}{13} }} \\ \\ = { \sf{0.384615…}}[/tex]

what does the rational form of the ratio a:b look like

Answers

Answer:

a/b

Step-by-step explanation:

The rational form of a:b or simply a/b is in the simplest form.

Answer:

Step-by-step explanation:

the answer is option 2 from the above sheet

an isosceles triangle is such that AC=BC and has vertices A=(3,4), B=(7,4) and C=(5,8) a) Calculate the length of AC B) the line of symmetry of the triangle meets the line AB at M what are the coordinates of M​

Answers

Answer:

Step-by-step explanation:

A( 3 , 4)  &   C(5 , 8)

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

[tex]AC = \sqrt{(5-3)^{2}+(8-4)^{2}}\\\\=\sqrt{(2)^{2}+(4)^{2}}\\\\=\sqrt{4+16}\\\\=\sqrt{20}\\\\= 4.47 units[/tex]

M is the midpoint of AB

A(3,4)  &B(7,4)

[tex]M(\frac{x_{1}+x_{2}}{2},\frac{y_{1}+y_{2}}{2})\\\\M(\frac{3+7}{2},\frac{4+4}{2})\\\\M(\frac{10}{2},\frac{8}{2})[/tex]

M(5,4)

solve this by elimination method
a+2b=5
3a-b=1

(plz show the whole process)

Answers

Answer:

a=1  b=2

Step-by-step explanation:

a+2b=5

3a-b=1

Multiply the second equation by 2

6a-2b=2

Add the two equations together

a+2b=5

6a-2b=2

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

7a    = 7

Divide by 7

7a/7 = 7/7

a=1

Now find b

3a-b =1

3(1) -b =1

3-b=1

Subtract 3 from each side

3-b-3=1-3

-b = -2

Multiply by -1

b=2

Answer:

please mark me brainliest

Step-by-step explanation:

a+2b=5...equ 1

3a-b=1...equ 2

3a+6b=15...equ 3

3a-b=1...equ 4

elimination method

3a has been cancelled

so 6b+b=7b

15-1=14

7b=14

b=14/7

b=2

substitute 2 for b in equ 2

3a-b=1

3a-2=1

3a=1+2

3a=3

a=3/3

a=1

a=1,b=2

1) Lisa took a trip to Kuwait. upon leaving she decided to convert all of her dinars back into dollars . how many dollars did she receive if she exchanged 13 dinars at a rate of 1 dinar for every $3?
2) Willie bought one bunch of asparagus for $2. how many bunches of asparagus can Daniel buy if he has $12?
round your answer to the nearest whole number!!!

Answers

Lisa took a trip to Kuwait upon leaving she decided to convert all of her dinars back into dollars how many

How do I find MQR and what does it equal?

Answers

Answer:

B

Step-by-step explanation:

The inscribed angle Q is half the measure of its intercepted arc , so

arc RS = 2 × 75° = 150°

The sum of the 3 arcs = 360° , then

arc QR = 360° - (150 + 133)° = 360° - 283° = 77° → B

You will be marked brainliest if you tell me how step by step.

A. 92x + 280 < 1,108

B. 280x + 92 > 1,108

C. 280x + 92 < 1,108

D. 92x + 280 > 1,108​

Answers

Answer:

whats the question

Step-by-step explanation:

for me to help

How to simplify fractions (please also right down rules when doing so, ((like x+x = x or axa=)

Question is
-2a(2b-3a)

Answers

-2a(2b-3a)
=-2a×2b-2a×(-3a)
=-4ab+6a²

Hope my answer helped u :)

Answer:

[tex] - 2a(2b - 3a) = - 2a2b + 2a3a \\ = - 4ab + 6 {a}^{2} \\ thank \: you[/tex]

a laptop computer is 1.05 centimeters thick

Answers

Answer:

yes and?

Step-by-step explanation:

Find the approximate side length of a square game board with an area of 128 in2. HELP PLZ

Answers

Answer:

The side length is approximately 11.3 inches

Step-by-step explanation:

The area of a square is given by

A = s^2 where s is the side length

128 = s^2

Take the square root of each side

sqrt(128) = sqrt(s^2)

11.3137085= s

The side length is approximately 11.3 inches

Answer:

11.3

Step-by-step explanation:

Formula for square: x^2 = A

Plug in:

x^2 = 128

√x^2 = √128

  x = 11.3

Hope this helped.

(2x + 3y)² + 2(2x + 3y) + 1

Answers

Answer:

Here is your answer . hope this helps you.

Write the equation of the sinusoidal function shown.

Answers

Answer: A

It looks at though the graph moved down a unit, so definitely a (-1) at the end of the function. If you move the graph up a unit, you will notice that the y = cos x format, therefore, it's not C or D.The amplitude of the function is 1. So B and D are out because their amplitudes are 2.

Therefore, the answer is A.

Mathematical Connections The triangle shown
is isosceles. Find the length of each side and the
perimeter.
#14

Answers

The length of each side is of: 13 cm, 13 cm and 6 cm.The perimeter is of 32 cm

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

If a triangle is isosceles, it means that two sides have equal measures.The perimeter of a polygon is the sum of the lengths of all its sides.

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

Value of n:

The two legs have the same length.One is [tex]5n - 17[/tex], and the other is [tex]2n + 1[/tex], thus:

[tex]5n - 17 = 2n + 1[/tex]

[tex]5n - 2n = 1 + 17[/tex]

[tex]3n = 18[/tex]

[tex]n = \frac{18}{3}[/tex]

[tex]n = 6[/tex]

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

Lengths:

The lengths are given as functions of n, since n = 6:

[tex]5n - 17 = 5(6) - 17 = 30 - 17 = 13[/tex][tex]2n + 1 = 2(6) + 1 = 12 + 1 = 13[/tex][tex]n = 6[/tex]

The length of the sides are: 13 cm, 13 cm and 6 cm.

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

Perimeter:

The perimeter is the sum of the lengths of all sides, so: 13 + 13 + 6 = 32 cm.

A similar question is given at https://brainly.com/question/6139098

2
Write the decimal equivalent for 43
Choose the correct answer below.
2
O A. 4= = 4.666667
3
2
OB. 4= = 4.67
3
2
OC. 4- = 4.6
3
2
OD. 45 = 4.66
3

Answers

Answer:

C

Step-by-step explanation:

as it goes 4.66666666... forever.

A is just a rounded answer.

B would mean 4.6767676767...

and D is just truncated.

What is Three-Quarters of Three-Quarters?

Answers

3/4 * 3/4


Three quarter meaning 3/4
Of represents *
So the answers is (3*3)/(4*4)=9/16 or 0.5625

A train travelling at 30km/hour reaches a tunnel which is 9 times as long as the train. If the train takes 2 minutes to completely clear the tunnel, how long is the train?​

Answers

Answer: 111.1 m

Step-by-step explanation:

(30*2)/60 = 1 km ( the tunnel length is 1 Km.)

1 Km = 1000 m.

1000/9 = 111.1 m.

-4.326 + (-0.32) ÷ 0.4

Answers

Answer:

-5.126

Step-by-step explanation:

PEMDAS

-4.326 + (-0.32) ÷ 0.4

-0.32 ÷ 0.4

= -0.8

-4.326 + (-0.8)

= -4.326 - 0.8

= -5.126

Please help its urgent:

A bag contains one tile for each letter of the word PANDA. If you selected a permutation of these letters at random, what is the probability that they would spell the word panda?

Answers

Answer:

1/60

Step-by-step explanation:

Permutations of "Panda"

5P5 = 5! = 120

Two of the 'Panda" s we can get as a result

P(Panda) = 2/120 = 1/60

Using Permutation

[tex]\boxed{\sf ^nP_r=n!}[/tex]

[tex]\\ \sf\longmapsto ^5P_r=5![/tex]

[tex]\\ \sf\longmapsto 1\times 2\times 3\times 4\times 5[/tex]

[tex]\\ \sf\longmapsto 120[/tex]

Now

[tex]\\ \sf\longmapsto P(Panda)=\dfrac{2}{120}[/tex]

[tex]\\ \sf\longmapsto P(Panda)=\dfrac{1}{60}[/tex]

Find the measure of the missing angle. A

Answers

Answer:

a = 38

Step-by-step explanation:

The two angles add to 90 degrees

a+52 = 90

a = 90-52

a = 38

Answer:

Below

Step-by-step explanation:

The little box on the angle indicates that it is 90 degrees

All you need to do now to find angle a is to subtract 52 from 90...

90 - 52 = 38 degrees

Hope this helped!

2a²-2ab-3b²+9 when a=3 and b=2​

Answers

a=3,b=2

[tex]\\ \sf\longmapsto 2a^2-2ab-3b^2-9[/tex]

[tex]\\ \sf\longmapsto 2(3)^2-2(3)(2)-3(2)^2-9[/tex]

[tex]\\ \sf\longmapsto 2(9)-12-3(4)-9[/tex]

[tex]\\ \sf\longmapsto 18-12-12-9[/tex]

[tex]\\ \sf\longmapsto 6-18[/tex]

[tex]\\ \sf\longmapsto -12[/tex]

Answer:

3

Step-by-step explanation:

2(3)^2 - 2(3)(2) - 3(2)^2 + 9

2(9) - 12 - 3(4) + 9

18 - 12 - 12 + 9

= 3

Answer from Gauth math

in right triangle abc below where ac=2 and angle BAC is theta find y in terms of theta
please ignore my work!​

Answers

Answer:

2tanθ -2 = y

Step-by-step explanation:

First, to make things a little simpler, we can say that the point between C and B is D, so BD = y

We are given that ∠ADC = 45° , and ∠ACD = 90°. Because the angles of a triangle add up to 180 degrees, we can say

∠CAD + ∠ACD + ∠ADC = 180°

∠CAD + 90 + 45 = 180

∠CAD = 45°

In a 45/45/90 degree triangle, we can say that the two non-hypotenuse sides are the same. The hypotenuse is opposite of the right angle, so in this triangle, it would be AD. Therefore, we can say that AC = CD = 2

Because BC = CD + DB , we can say that

BC = CD + DB

BC = 2 + y

y = BC -2

Therefore, if we know BC, we can solve for y.

We want to solve for BC given

- the angle opposite of it (θ)

- the side adjacent to the angle (AC).

One equation that fits this is

tanθ = opposite/adjacent

tanθ = BC/AC

tanθ  = (2+y)/2

multiply both sides by 2 to remove a denominator

2 tanθ=2+y

subtract 2 from both sides to isolate th y

2tanθ -2 = y

Jonathan took 5 minutes to walk to the bus-stop, then spent 63 minutes waiting for the bus. If the bus journey to his school took 10 minutes, how much time did he take to reach his school?​

Answers

Answer:

78 minutes or 1 hour and 18 minutes

Step-by-step explanation:

Add 5 and 63 and 10

Drag the Numbers below to put them in order from least to greatest 13.8 -9.4 -17.6 -3.2 -3.6 -13.8


Answers

Answer:

-17.6,-13.8,-9.4,-3.6,-3.2,13.8

From number line the closer a decimal number is to zero the greater it is

On a piece of paper, graph y+237x-1. Then determine which answer choice matches the graph you drew.

O A. Graph A
O B. Graph B
O C. Graph C
O D. Graph D ​

Answers

Answer:

Option A is correct

Step-by-step explanation:

Hope it is helpful....

The graph to the inequality is Graph A.

What is Inequality?

Mathematical expressions with inequalities are those in which the two sides are not equal. Unlike to equations, we compare two values in inequality. Less than (or less than or equal to), greater than (or greater than or equal to), or not equal to signs are used in place of the equal sign.

We have the Inequality y +2 ≤ 1/4x -1

Now, simplifying the inequality

y ≤  1/4x -3.

As, The equation of a line in Slope-Intercept form is:

y= mx+ b

where m is the slope and b is intercept.

Here we have m = 1/4 and b= -3.

Now, we have the sign of inequality is ≤ then line is solid and the shaded region is below the line.

Learn more about Inequality here:

https://brainly.com/question/29046067

#SPJ7

I need help with this question...

Q: Five days last month it rained 6.5 inches. It rained 3.5 inches in 7 days last month. How many inches did it rain those 12 days?

Answers

Answer:

57 inches

Step-by-step explanation:

It rained 5*6.5+7*3.5=32.5+34.5=57 inches in the past 12 days

Choose the graph below that represents the following system of inequalities: y is greater than and equal -3x + 1 and y is greater than and equal 1/2x + 3

Answers

Answer:

Step-by-step explanation:

Choose the graph below that represents the following system of inequalities: y is greater than and equal -3x + 1 and y is greater than and equal 1/2x + 3

Write the fraction as a decimal.

Answers

Vas Happenin!!!
4.8(3)
This means the 3 repeats
Hope this helps *smiles*

Please help me anyone please and thank you

Answers

Answer:

Step-by-step explanation:

x^2 - 6x = -156    Next step is:

x^2 - 6x + (-3)^2 = -156 + (-3)^2

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