For the right triangles below, find the exact values of the side lengths c and d.
If necessary, write your responses in simplified radical form.

For The Right Triangles Below, Find The Exact Values Of The Side Lengths C And D.If Necessary, Write

Answers

Answer 1

Answer:

c = 7[tex]\sqrt{2}[/tex], d = 4/[tex]\sqrt{3}[/tex]

Step-by-step explanation:

The first triangle is a 45-45-90 triangle, meaning the two sides adjacent to the right angle are equal to the same value, while the side opposite the right angle is equal to one of the other sides times [tex]\sqrt{2}[/tex].

The second triangle is a 30-60-90 triangle, meaning the side opposite the 30 degree angle is equal to x, the side opposite the 60 degree angle is equal to x[tex]\sqrt{3}[/tex], and the side opposite the right angle is equal to 2x. Since the side opposite the 60 degree angle is 4, we know that x times [tex]\sqrt{3}[/tex] is equal to 4. Therefore, x is 4/[tex]\sqrt{3}[/tex]. The side opposite the 90 degree angle is 2x, and therefore, 8/[tex]\sqrt{3}[/tex].


Related Questions

please answer the question it’s being timed tysm!

Answers

Answer:

a=1,b=3,c=10

Step-by-step explanation:

a= the number with the highest power, in this case it is x^2. Therefore, a=1.

b= the number with the second number, the one that has an x. Therefore, b=3.

c=the last number, the one with no variable. therefore, c=10

If this helps please mark as brainliest

What is not a statistical question?
What score did each of my classmates get on the math quiz?
How many points did the tiger score in each of their games?
How many plates are on the table?
How many minutes did each of my friends spend on the computer yesterday?

Answers

Answer:

3

Step-by-step explanation:

Because there is only one table and you are asking for only one answer

Qué hay con respecto a la desviación del agua hacia la fábrica​

Answers

What about the diversion of water to the factory




SPANISH TO ENGLISH

birdseed cost $1.25 per pound how much does 6 pounds of birdseed cost

Answers

answer: 7.5

explanation: 1.25 x 6 = 7.5

Answer:

7.5 for 6 pounds

Step-by-step explanation:

The angle measurements in the diagram are represented by the following expressions
ZA = 8r+6
B = 4.1 +38
Solve for x and then find the measure of B:
_B =

Answers

answer:

∠B = 70°

step-by-step explanation:

as you can see, the angle are alternate exterior anglestherefore, they are EQUALwe can set them equal to each and solve for x first

∠A = ∠B

8x + 6 = 4x + 38

4x + 6 = 38

4x = 32

x = 8

now, we will plug in x in the expression for B to find B

4(8) + 38

32 + 38

= 70

therefore, ∠B = 70° and x = 8

When Mr Lee was given a raise of 20%, his new salary was $1980.How much was his increase in his salary?

Answers

Answer:

$330

Step-by-step explanation:

to find how much he earned before raise:

1.2x = 1980

x = 1980/1.2

x = 1650

current salary: 1980

former salary: 1650

he makes $330 more

Answer:

330

Step-by-step explanation:

Can someone help me please

Answers

Answer:

10.3

Step-by-step explanation:

cos 31=w/12

0.8571=w/12

w=12x0.8571

w=10.28

w to nearest tenth= 10.3

Plzzzzz helppppppp teachersssss

Answers

Answer:

1. tan(x) = 9/20

arctan(9/20) ≈ 24.23°

2. cos(x) = 17/32

arccos(17/32) ≈ 57.91°

3. tan(x) = 13/18

arctan ≈ 35.84°

4. sin(x) = 21/28

arcsin(21/28) ≈ 48.59°

Answer:

1    x = 24.2°

2    x = 57.9°

Step-by-step explanation:

You must memorize the definitions of the trig functions and then these problems are easy

1:   tan = opposite side/adjacent side

opp side to x is 9 and adjacent side is 20

So, tan x = 9/20

x = arctan (9/20) = 24.2°

2:   cos = adjacent side/hypotenuse

adjacent side = 17 and hypotenuse = 32

cos x = 17/32

x = arccos (17/32)

x = 57.9°

You do 3 and 4.  Hint:  Use the tan function in 3 and the sine function in 4

OK?   You can do it!!!!

can someone help me with this please

Answers

The error is when she added 4 to both sides.

Instead, she should divide both sides by -4 to undo the multiplication. Specifically, the multiplication between the -4 term and the (x-2)^2 term.

This is one possible correction of what her steps could look like.

[tex]y = -4(x-2)^2\\\\\\0 = -4(x-2)^2\\\\\\\frac{0}{-4} = \frac{-4(x-2)^2}{-4}\\\\\\0 = (x-2)^2\\\\\\(x-2)^2 = 0\\\\\\\sqrt{(x-2)^2} = \sqrt{0}\\\\\\x-2 = 0\\\\\\x-2+2 = 0+2\\\\\\x = 2\\\\\\[/tex]

In the third step, I'm dividing both sides by -4. In the sixth step, I'm applying the square root to both sides to undo the squaring operation. Then two steps later, I'm adding 2 to both sides to undo the "-2", which helps fully isolate x.

The only solution is x = 2, so it's the only x intercept. You can verify this answer by plugging x = 2 back into the original equation at the very top. You should end up with y = 0.

Note: The term "root" is another name for "x intercept".

Please I don’t know how to do this

Answers

Answer:

somewhere on the y axis so ig -4,-2?

Step-by-step explanation:

Answer:

Step-by-step explanation:

Hope this helps u!!

If a marble is randomly chosen from a bag that contains exactly 8 red marbles, 6 blue marbles, and 6 white marbles. What is the probability that the first marble will NOT be white and the second will BE white?​

Answers

Answer:

Step-by-step explanation:

so theres 8 red marbles, 6 blue marbles, and 6 white marbles so that makes

8 + 6 + 6 = 20 marbles in total

the probability of the marble being white is 6/20 or 3/10

so the probabilty of the marble NOT being white is 1 - (3/10) = 7/10

7pi/6 radians is what in degrees?

Answers

Step-by-step explanation:

7pi/6 radians = 7×180° /6 = 210°

i need help with 4ourth grade math lesson 8 homework helper asap math

Answers

Answer:

sure

Step-by-step explanation:

help me pls 27 pnts(:(:

Answers

Answer: 8

Explanation:
The number line of cards goes by 1 and the number line of wool goes by 2.

So if Jillian wants 4 cards then he will have trade 8 wool for it. :)

PLEASE HELPPPPPPPPPPPPPPPPPPPPPPPPPP

Answers

Answer:

Area = 109 ft^2

Step-by-step explanation:

Area of shaded part = (16 ft)(9 ft) - (7 ft)(5 ft)

= 144 ft^2 - 35 ft^2

= 109 ft^2

Order the following numbers from least to greatest.
Put the least value on the left.
5
---2
1.7
2

Answers

Answer:

if that is a triple negative it would 5,2,2 1.7

Step-by-step explanation:

Please help, I'm stuck.
Evaluate F(-1)
The answer options are:

A. -2

B. 11

C. -3

D. -5

Answers

Answer:

-3

Step-by-step explanation:

F(-1) = 2x - 1

= 2(-1) - 1

= -2 - 1

I don't see how to do this...............................

Answers

Step-by-step explanation:

So visually youre given the function

for h(-4) it can also be written as h(-4) = y

what do you get for y when you substitute - 4 for x?

All you have to do is trace the line until you get to x=-4 and then find the y that corresponds to it (looks like around y= - 1)

for the other one h(x) = - 5

what do you get for x when you substitute - 5 for y?

what you do is similar, trace the line along the y-axis and see what x-value you get for y =-5

Answer:

3 and x = 0

Step-by-step explanation:

To find the value of h(- 4)

Locate x = - 4 on the x- axis, go vertically up to meet the graph at (- 4, 3 )

Then the value of h(- 4) = 3

For h(x) = - 5

Locate y = - 5 on the y- axis. This is the point (0, - 5)

then the value of x for which h(x) = - 5 is x = 0

Equation for the fish population is 10,000 and decreases by half each year.

Answers

Answer:

10,000 divided by 5,000 12 times

Step-by-step explanation:

evaluate without calculator

Answers

-476/375 you just have to multiply neither is divisible by the same number so that’s your final answer

Find the volume of the cone.
9 cm
r = 6 cm
V = [?] cm3
Round to the nearest tenth.

Answers

Step-by-step explanation:

[tex] \frac{1}{3} \pi {(6)}^{2} (9) \\ \frac{1}{3} \pi(36)(9) \\ \frac{1}{3} \pi(324) \\ 108\pi \\ 339.3 {cm}^{3} [/tex]

Three friends arrive at a party. Their arrival increases the number of people at the party by 20%. In total, how many people are now at the party

Answers

Answer:

18

Step-by-step explanation:

No of people joined=3

let x be people in begning

atq 3= 20/100x

x=20/100*3=15

no of people now=15+3=18

help pls will give point and brainly

Answers

Answer and Step-by-step explanation:

The answer is C ∠TUV.

If we were to place the triangles in the same position, the points P and T would match up, points R and U would match up, and points Q and V would match up.

#teamtrees #PAW (Plant And Water)

Which number from the data set 1, 1, 1, 2, 2, 3, 4, 5,5, and 25 is an outlier?

Answers

Outliers are like outcasts of the group
Which number is farthest away from the average?
1-5 seems to be average

Solution: 25 is the outlier

Let the function f(x) have the form f(x) = Acos(x - C). To produce a graph that
matches the one shown below, what must the value of c be?

Answers

Answer:

C=2

Step-by-step explanation:

Because I got it correct in AP3X

The value of C is 3 for the given graph.

What is a cosine function?

The cosine function is a trigonometric function that's called periodic. In mathematics, a periodic function is a function that repeats itself over and over again forever in both directions.

According to the given problem,

Given, cosine function = Acos( x - C )  

where, A = amplitude

           C = Maximum and Minimum value of y

We know, a general cosine function is in the form of,

f(x) = Acos( x + C )

For the given graph, we need to take the minimum value of y,

⇒ C = -2  

⇒ f(x) = Acos( x - 2 )

Hence, we can conclude, for the given graph, the cosine function has to be Acos( x - 2 ), where the value of C is -3.

Learn more about cosine function here: https://brainly.com/question/17954123

#SPJ2

The mass of Earth is about 5.97 x 1024 kg. The mass of Jupiter is 318 times the mass of Earth. What is the approximate mass of Jupiter?

Answers

Answer:

1.89813 × 1027 kilograms

Step-by-step explanation:

If so please sorry

1.8986×1027 kg. Is the mass of Jupiter


Jayla has $60 in a savings account. The interest rate is 10% per year and is not
compounded. How much interest will she earn in 5 years?
PLEASE HELP!!!!

Answers

$360 dollars she will earn in 5 years.
Solution:
10% of $60 is $6 dollars and you multiply by 12 months ( 6 x 12 = $72 (in one year) x 5 years = $360

HELP PLS I NEED HELP ASAP PLS HELPPPPP

Answers

Answer:

The number of students who spend 4 hrs or more for reading = 25/100 = 1/4

we know 100 is a factor of 300

so equivalent fraction of (25/100)

× 3 = 75/300 = 1/4

.°.The simplest answer = 1/4 = 75/300

Hope it helps

Find the value of x to the nearest tenth

Answers

Answer:

x = 3√5

Step-by-step explanation:

we can use the Pythagorean Theorem twice, first to find the longer leg of the left triangle:

7² + b² = 10²

b² = 100-49

b² = 51

b = √51 which we can simplify to be √9·√3·√3 = 3·3 = 9

we can use the Pythagorean Theorem next to find 'x':

x² + 6² = 9²

x² + 36 = 81

x² = 45

x = √45 = √9·√5 or 3√5

Use the graph to answer the following questions. image Activity 1 of 2 Part A: Is the relationship between the distance traveled and the time shown in the graph proportional? A. The relationship is proportional because the ratio of the variables is constant. B. The relationship is not proportional because the graph passes through the origin (0, 0). C. The relationship is proportional because the graph goes up by 5 every time. D. The relationship is not proportional because time increases by 2 and distance traveled increases by 5.

Answers

Ur mom 242424242424242424242434242
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