using the triangle theorem solve this triangle.​

Using The Triangle Theorem Solve This Triangle.

Answers

Answer 1

Answer:

b = 4[tex]\sqrt{3}[/tex] , c = 8

Step-by-step explanation:

Using the sine ratio in the right triangle and the exact value

sin30° = [tex]\frac{1}{2}[/tex] , then

sin30° = [tex]\frac{opposite}{hypotenuse}[/tex] = [tex]\frac{4}{c}[/tex] = [tex]\frac{1}{2}[/tex] ( cross- multiply )

c = 8

Using Pythagoras' identity in the right triangle

b² + 4² = 8²

b² + 16 = 64 ( subtract 16 from both sides )

b² = 48 ( take the square root of both sides )

b = [tex]\sqrt{48}[/tex] = [tex]\sqrt{16(3)}[/tex] = 4[tex]\sqrt{3}[/tex]

Answer 2

Answer:

OK THIS IS A BIGGY....c = 8

Step-by-step explanation:

First, find b.

using the pythagorean theorem, a² + b² = c²

to find b using an angle, do b = √(c² - a²)

then, b = a * tan(β)

(β is the angle 30°)

So, b = 6.928

Then, plug it into the pythagorean theorem

4² + 6.928² = c²

16 + 47.997184 = c²

63.997184 = c²

√63.997184 = √c

c = 7.99982399806

Rounded is 8 :)

Hope this helps! Please mark as brainliest :)


Related Questions

How does the geography contribute to the economy of the land?

Answers

Geography and economy are closely tied together because transport makes trade with widespread areas possible.

Great tracts of land once thought of as desert have also been used to feed large populations and make the economies of some countries very prosperous

You are doing great today. I am proud of you for waking up and getting on with life. Mwuah have a good day don't let anyone take you down.

Answers

Answer:

this just helped me so much

Step-by-step explanation:

Omg ilysm and thank you for spreading such positivity Muaahhh<3

Determine the constant that should be added to the binomial so that it becomes a perfect square trinomial. Then write and factor the trinomial. x2 + 16x

Answers

Answer:

[tex]$64, \ (x+8)^2$[/tex]

Step-by-step explanation:

A perfect square trinomial is defined as an expression that is obtained from squaring a binomial equation. The perfect square trinomial is in the form of [tex]$ax^2+bx+c$[/tex].

The given expression is :

[tex]$x^2+16x$[/tex]

The co-efficient of the x-term in [tex]$x^2+16x$[/tex] is '16'.

So half of the term 16 ,

[tex]$\frac{16}{2} = 8$[/tex]

and [tex]$(8)^2=64$[/tex]

Now add 64 to the expression:

[tex]$x^2+16x+64$[/tex]

Therefore, the perfect square trinomial is

[tex]$(x+8)^2=x^2+16x+64$[/tex]

I WILL GIVE BRAINIEST IF CORRECT
What is 0.07% off of the original price of 10.00??

Answers

Answer:

I think its 0.007 but I'm not sure or its 0.01

If the mean of A and B is 20,the mean of B and Cis 24 and the mean of A,BandC what is the mean of A and c​

Answers

Answer:

The mean of A and C is equal to 10.

Step-by-step explanation:

We know that,

[tex]\text{Mean}=\dfrac{\text{Sum of observations}}{\text{Total no of obervations}}[/tex]

The mean of A and B is 20,

[tex]A+B=20\\\\A+B=40\ \ .........(1)[/tex]

The mean of B and C is 24,

[tex]B+C=24\times 2\\\\B+C=48\ \ .........(2)[/tex]

The mean of A,B and C is 18,

[tex]A+B+C=18\times 3\\\\A+B+C=54\ .....(3)[/tex]

Put the value of A+B from (1) in (3),

C = 14

Put the value of B+C from (2) in (3)

A = 6

Mean of A and C is :

[tex]M=\dfrac{A+C}{2}\\\\M=\dfrac{14+6}{2}\\\\M=10[/tex]

So, the mean of A and C is equal to 10.

the answer choices are :

1
2
3
4
5
or
6

Answers

Answer: 5

Step-by-step explanation:

The mode is the number that appears the most often in the set of data. As we can see, 5 is the most common number.

5 because mode is what number appears the most

On a standardized exam, the scores are normally distributed with a mean of 350 and
a standard deviation of 40. Find the Z-score of a person who scored 346 on the exam.

Answers

Answer:

[tex]\boxed {\boxed {\sf z= -0.1}}[/tex]

Step-by-step explanation:

A z-score helps describe the relationship between a value and the mean of a group of values. Basically, it tells us how many standard deviations away from the mean a value is. The formula is:

[tex]z= \frac{x- \mu}{\sigma}[/tex]

where x is the value, μ is the mean, and σ is the standard deviation.

For this standardized exam, the mean is 350 and the standard deviation is 40. We want to find the z-score for a value of 346.

x= 346 μ= 350 σ= 40

Substitute the values into the formula.

[tex]z= \frac{ 346-350}{40}[/tex]

Solve the numerator.

[tex]z- \frac{ -4}{40}[/tex]

Divide.

[tex]z= -0.1[/tex]

The z score is -0.1, so the person with a score of 346 on the exam was 0.1 standard deviations lower than the mean.

Enter five expressions: a sum, a difference, a product, a quotient, and one that involves at least two operations that have the value of -3/4 (the fraction)

Answers

Step-by-step explanation:

To find - Enter five expressions: a sum, a difference, a product, a quotient, and one that involves at least two operations that have the value of -3/4 (the fraction)

Solution -

Expression for sum is -

1/4 + (-1) = -3/4

Expression for difference is -

(1/4 - 1) = -3/4

Expression for product is -

(-3/2)(1/2) = -3/4

Expression for quotient is -

(1 - 4)/4 = -3/4

Expression that involves at least two operations is -

-(1/4 + 2/4) = -3/4

can u guys help me with

5 divided by 1/3

Answers

Answer:

15

Step-by-step explanation:

Keep, Change, Flip. That is the mantra you should have when you come to division problems with fractions. So you would keep the 5, change the sign into multiplication, and flip the fraction from 1/3 to 3/1 (which actually is just 3). Then you would multiply 5 * 3. Your answer should be 15.

Answer:

15

Step-by-step explanation:

To divide any number by a fraction, flip the fraction and then multiply:

[tex]5 \div \frac{1}{3} = 5 \cdot \frac{3}{1} = 15[/tex]

How many solutions are there to the equation 3x – 5 = 2 x - 3 - x?

A. no solutions
B. exactly one solution exactly
C. two solutions
D. infinitely many solutions​

Answers

The answer is B

Because if you combine like terms and do the things you get x=1
And they is only one solution for that


Hoped I help


Brainly plzzzzzzz

can someone pls help first gets brainilest

Answers

it’s letter d

since m and n are parallel the measure of b will be equivalent to the angle 35 degrees

help me pleas guys thx love ya so much!!

Answers

Answer:

answer is 5d-10=c

hope that helps in any way

ILL GIVE BRAINLIEST. plsss help adap

Answers

Answer:

i think its the first one im not 100% sure but i think it is

Step-by-step explanation:

hopefully this helps

Answer:

Acceleration decreases velocity until the car stops.

Does anyone know how to solve this?

Answers

Answer:

$ 22.5

Step-by-step explanation:

B(x) = 30.50 - 0.20x

Notice that x defines the number of prints.

For prints = x = 40

B(40) = 30.50 - 0.20(40)

B(40) = 30.50 - 8

B(40) = 22.5

Remaining amount is $22.5

B(x) is defined as at starting you had $30.50 then you kept on spending with a period of 20 cents(= 0.20 dollar). So 30.50 kept on decreasing by 0.20. Each time you spend, you give 0.20.

That's why the function is 30.50 - 0.20x.

Where x is the nunber of times you spend(buying prints)

PLEASE HELP I’ll give brainlest!!

Answers

Answer:

3x*59x=

Step-by-step explanation:

Answer:

126 degrees

Step-by-step explanation:

The opposite angles of a parallelogram are equal, so 4x + 2 = 8x - 50. By subtracting 4x from both sides of this equation, we get that 2 = 4x - 50. Adding 50 to both sides yields 52 = 4x, and dividing by 4 gives us that x = 13.

By substituting this, we see that the measure of angle A is 4(13)+2, which is 54 degrees. Angle B is supplementary to angle A, so its measure is 180-54, which is 126 degrees.

Plz help will mark brainliest :)

Answers

Answer: 6

Step-by-step explanation:

[tex]-5x+\frac{8x}{4}[/tex]

[tex]-5(-2)+\frac{8(-2)}{4}[/tex]

[tex]10+\frac{-16}{4}[/tex]

[tex]10-4[/tex]

= 6

The answer is going to be 6

asap! plsss helo i’ll give brainliest

Answers

Answer:

The answer is 5 N norths I think :)

Step-by-step explanation:

Aaliyah invested $550 in an account paying interest rate of 4% compounded constantly assuming no deposits or withdrawals are made how much money to the nearest cent would be in the account after 20 years I NEED THE ANSWER ASAP PLEASE!!!!!

Answers

Answer:

1224.05

Step-by-step explanation:

formula:

PV(e^(it))

550*e^(.04*20)=1224.0475 which rounds to 1224.05

I need help pleaseeeeee

Answers

24/36
There are 36 students from 14-17 in total. 24 skip breakfast so. 24/36

Can you pls help me

Answers

Answer:

I think the two answers would be A & D.

Explanation:

Sorry if I'm wrong.

Answer:

The answer is D

Find the volume of the prism

Answers

Answer:

270

Step-by-step explanation:

used formula LxWxH

What is an
equation of the line that passes through the points (-4, -3) and
(3, -3)?

Answers

Answer:

y=-3

Step-by-step explanation:

m=(y2-y1)/(x2-x1)

m=(-3-(-3))/(3-(-4))

m=(-3+3)/(3+4)

m=0/7

m=0

y-y1=m(x-x1)

y-(-3)=0(x-(-4))

y+3=0(x+4)

y+3=0

y=0-3

y=-3

You and your friends live on the same street. One friend lives to the East of you and the other lives to the West. You walk three blocks West to pick up your first friend and then walk five blocks East to visit your other friend. How far does the second friend live from you? Is the answer positive or negative? How do you know this? Model your work using the manipulatives provided and then record your work on your record sheet.

Answers

Answer:

2 blocks

Step-by-step explanation:

if you go from zero to -3 on the number line and then go to the right by 5 units, you wind up at 2

Can someone please help me on this?
A toy remote control car is driven across a table. Based on the graph, how far from the start line will the car be after 5 seconds?

50 cm

100 cm

120 cm

160 cm

Answers

Answer:

100 cm

Step-by-step explanation:

This is a linear function with an equation of y = 20x.

Plug 5 in for x to get 100 as your answer.

Answer: 100 cm

Step-by-step explanation: Since the car can travel 20 cm per second and it traveled 80 cm in 4 sec, then it can travel 100 cm in 5 seconds

(Tip: If it asks to show your work, try drawing a ratio table and write the centimeters it travels per second .)

please help. i have no clue how to do this please give any tips :)

Answers

Answer: 36.25°

Step-by-step explanation:

Use SOHCAHTOA (sin, cosine and tangent)

SOHCAHTOA:

SOH: Sin(θ) = Opposite / Hypotenuse

CAH: Cos(θ) = Adjacent / Hypotenuse

TOA: Tan(θ) = Opposite / Adjacent

When you have an angle that you want to solve, look at what information you're given. In this problem, we're give nthe sides that are opposite to and adjacent to the angle we want to solve. So, we use TAN.

And just as a note, θ this symbol is called theta, and it represents an angle.

TAN(θ) = Opposite / Adjacent = 11/15

Then, use the inverse of tan (you can find the button on a calculator). You can use the inverse of sine, cosine or tangent whenever you want to switch them from one side of the equation to the other.

TAN(θ) = [tex]\frac{11}{15}[/tex]

θ = [tex]tan^-1(\frac{11}{15} )[/tex]

Then, using a calculator, solve. The answer is about 36.25°

Jenny cut an apple into eight equal slices. She gave of the apple to Kendall.
Which shows how much of the apple Jenny has left?

Answers

Fraction does not make sense this question

The table shows the results of rolling a number cube with sides labeled 1 through 6 several times. Outcome Number of times outcome occurred 1 10 What is the experimental probability of rolling a 3 or a 6? 2 6 Enter your answer as a fraction in simplest form in the box.. 3 4 4 8 5 6 Basic 6 6 7 8 9 L: X y​

Answers

Answer:

Because a 2 or a 4 was rolled 3 out of 12 times in the experiment, t so the fraction would be 3/12 (or 3 over 12).

Simplified: 1/4 (or 1 over 4)

Step-by-step explanation:

What is the length of the hypotenuse? 13 in 45 marking brainliest and giving thanks to all!!

Answers

Answer:

the Last angle equal 45

because we have 90 and 45 so to complete the 180 Degrees we have to put 45

169+169=x²

2×169=x²

x=13√2

the answer is B

Which expression is equivalent to 2(2x + 1) + 3x + 3?
A) 4x + 3
B) 4x + 5
C) 7x + 4
D) 7x + 5

Answers

Answer:

D) 7x+5

Step-by-step explanation:

2(2x+1)+3x+34x+2+3x+37x+5

hope it helps.

stay safe healthy and happy.

Answer:

[tex]D) 7x + 5[/tex]

Step-by-step explanation:

[tex]2(2x+1)+3x+3[/tex]

[tex]2(2x)+2 \times 1+3x+3[/tex]

[tex]4x+2 \times 1+3x+3[/tex]

[tex]4x+2+3x+3[/tex]

[tex]7x+2+3[/tex]

[tex]7x+5[/tex]

Hope it is helpful.....

jackson bought a soft drink for $2 and 7 mini pizzas. He spent a total of $16. How much did each mini pizza cost? (Turn the problem into an algebraic equation AND solve for the variable to find the answer.)​

Answers

Answer:

y = 7x + 2

spent $2 per pizza

*x = 2

Step-by-step explanation:

7 (2) +2

14+2

16

Answer:

The guy above me is correct, give him brainliest

Step-by-step explanation:

Other Questions
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