Trig homework. Find the two missing sides and write your answer as in simplified radical form.

Trig Homework. Find The Two Missing Sides And Write Your Answer As In Simplified Radical Form.

Answers

Answer 1

Answer:

u = 8, v = 4[tex]\sqrt{2}[/tex]

Step-by-step explanation:

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

sin45° = [tex]\frac{1}{\sqrt{2} }[/tex] , then

sin45° = [tex]\frac{opposite}{hypotenuse}[/tex] = [tex]\frac{4\sqrt{2} }{u}[/tex] = [tex]\frac{1}{\sqrt{2} }[/tex] ( cross- multiply )

u = 8

The triangle is right isosceles with legs congruent, so

v = 4[tex]\sqrt{2}[/tex]


Related Questions

find the length of x.

Answers

Answer:

3.5

Step-by-step explanation:

so this triangle is symmetrical by AA. so x would be symmetrical to 7, and 2.5 is symmetrical to 5.

[tex]\frac{x}{2.5}[/tex] = [tex]\frac{7}{5}[/tex]

x×5=5x

2.5×7=17.5

5x=17.5

x=17.5/5

x=3.5

What was Dimitri's mistake? He mixed up the coordinates of the ordered pair when Substituting it into the equations 7x+9y=-4 and 5x-2y=6

Answers

Answer:

He made a mistake in his calculations when simplifying 5x - 2y

Step-by-step explanation:

Given

The coordinate pair

[tex](x,y) = (2,-2)[/tex]

The equations

[tex]7x + 9y = ?[/tex]

[tex]5x - 2y = ?[/tex]

Dimitri's Solution

[tex]Equation\ 1: 7x + 9y = -4.[/tex]

[tex]7(2) + 9 (-2) = -4.[/tex]

[tex]14 + (-18) = -4.[/tex]

[tex]-4 = -4.[/tex]

[tex]Equation\ 2: 5x -2y = 6.[/tex]

[tex]5(2) - 2 (-2) = 6.[/tex]

[tex]10 - 4 = 6.[/tex]

[tex]6 = 6.[/tex]

Required

Identify Dimitri’s mistake

In the first equation, Dimitri made no mistake.

However, he made a mistake when simplifying the second equation.

We have:

[tex]5x - 2y[/tex]

and

[tex](x,y) = (2,-2)[/tex]

Substitute [tex]x = 2[/tex] and [tex]y = -2[/tex]

So, we have:

[tex]5(2) -2(-2)[/tex]

Open bracket

[tex]10 +4[/tex]

Finally, we have:

[tex]14[/tex]

edgeunuity question for geometry HELPPP

Answers

Answer:

obtuse angleacute angle

Step-by-step explanation:

mp is greater than 90°but less than 180°it's less than 90°

a) The pass marks in an examination is 40%. Rajani secured 295 marks and
failed by 25 marks. Find the full marks of the examination​

Answers

Answer:

320 marks = 40 percent therefore the total marks for the exam= 320+320+160=800 marks.

Step-by-step explanation:

let the full marks be " x "

Rajani has scored 295 marks , if she would had scored 25 more marks then she would had passed the examination,

So, passing marks :

=》295 + 25

=》320

passing percentage ( P% ) :

=》

[tex]40 = \dfrac{passing \: \: marks}{total \: \: marks} \times 100[/tex]

=》

[tex]40 = \dfrac{320}{x} \times 100[/tex]

=》

[tex]x = \dfrac{320 \times 100}{40} [/tex]

=》

[tex]x = 8 \times 100[/tex]

=》

[tex]x = 800[/tex]

So, passing marks = 800 marks

given 2x - 9y - 12 = 0, express 5x - 4y + 7 = 0 in terms of x only

Answers

Answer:

[tex]4 \frac{1}{9}x[/tex] + [tex]12\frac{1}{3}[/tex] = 0

Step-by-step explanation:

Based on 2x - 9y - 12 = 0

-9y = 12 - 2x

9y = -12 + 2x

y = [tex]-1\frac{1}{3} + \frac{2}{9} x[/tex]

Therefore...

5x - 4y + 7 = 0

5x - 4([tex]-1\frac{1}{3} + \frac{2}{9} x[/tex]) + 7 = 0

5x + [tex]5\frac{1}{3}[/tex]  - [tex]\frac{8}{9} x[/tex] + 7 = 0

[tex]4 \frac{1}{9}x[/tex] + [tex]12\frac{1}{3}[/tex] = 0

Select all of the expressions that are equal to 1/8
8÷1
2÷16
2÷1/4
1÷8
1/4÷2

Answers

Answer:

Step-by-step explanation:

2/16

1/8

8/1=8

2/16=0.125 which is equal to 1/8

2/14=1/7

1/8=1/8 is 2/16 simplified so they are the same

14/2=7

Find measure of angle WZY.

Answers

Answer:

the answer is 4

Step-by-step explanation:

8x-1=5x+11

3x=12

x=4

The number 652.734 written in expanded form is (6 × 100) + (5 × 10) + (2 × 1) + (7 × 1 10) + (3 × 1 100 ) + (4 × 1 1000). Suppose you want to write the number 473.892 in expanded form. Which statements are correct? Select two that apply. A.7 should be multiplied by 100. B.8 should be multiplied by 1 10. C.3 should be multiplied by 1. D.2 should be multiplied by 1 100.

Answers

Answer:

3 x 1 and 8 x 1/10

Step-by-step explanation:

Write a rule in function notation to describe the transformation that is a reflection across the x-axis.

Answers

Answer:

R(x, y) = (x, -y)

Step-by-step explanation:

When we have a reflection across some line, the distance between the original point and the reflected point to the line is invariant.

For a reflection around the x-axis, the x-value is invariant, then the only value that can change is the y-value.

So if we have a point like (4, 7)

Which is at a distance of 7 units to the x-axis, the only other point that is also at a distance of 7 units to the x-axis that has the same x-value is (4, -7)

Here we already can see the rule.

If we have a point (x, y), the reflection across the x-axis gives us the point (x. -y)

Then we can write this reflection as a function in the next way:

R(x, y) = (x, -y)

This means that if the input is the point (x, y), the output is the point (x, -y)

A sum of 7
Probability:

Answers

Answer:

7,5,3,1,8,6,4,2,9

Step-by-step explanation:

5k(k-9)=0 solve for k

Answers

Step-by-step explanation:

5k²-45= 0

5k²= 0 +45

k²= 45/5

k²= 9

or

k = 9/2 = 4.5

Please help. I will give brainliest.

Answers

Answer:

e

Step-by-step explanation:

6 times the dierence of d and 5

Answers

Answer:

6(d - 5)

Step-by-step explanation:

The difference of d and 5 represents (d - 5)

Multiply that by 6 to get 6(d - 5)

Help needed for some geometry

Answers

In order to create a line parallel to line “I”, rotate line “I” 180° about points “F”. This can be done clockwise or counterclockwise.

Answer:

hope this help you. look it once.

Calculate the curved surface area of a cylindrical container 10cm diameter, length 18cm take the value of pie to 3.14

Answers

Answer:

56.52 cm^2

Step-by-step explanation:

curved surface area = 2πrh

the diameter is the straight line that passes through the centre of a circle and touches the two edges of the circle.

A radius is half of the diameter

10 / 2 = 5

2 x 3.14 x5 x 18 = 56.52 cm^2

A group of children bought 3 presents that cost $W each and a card that cost $200. The children shared the total cost equally. Express the amount of money each student paid in terms of W

Answers

Answer:

Amount of money paid by each student is equal to [tex]\$3W+\$200[/tex]

Step-by-step explanation:

Given: A group of children bought [tex]3[/tex] presents that cost [tex]\$W[/tex] each and a card that cost [tex]\$200[/tex].

To find: amount of money each student paid in terms of [tex]W[/tex]

Solution:

Cost of each present [tex]=\$W[/tex]

Cost of [tex]3[/tex] presents [tex]=\$3W[/tex]

Cost of a card [tex]=\$200[/tex]

Therefore,

Amount of money paid by each student in terms of [tex]W[/tex] = Cost of [tex]3[/tex] presents + Cost of a card

[tex]=\$3W+\$200[/tex]

Malik is solving the equation x2 – 10x – 11 = 0 using the complete the square method. Here is Malik's work: Line 1 p^2 -10p-11=0 Line 2 p^2 -10p+25=11+25 Line 3 (p-5)^2 =36 Line 4 p-5=36 or p-5=-36 Line 5 p=41 p=-31 Line 6 the solution is p=41 or p=-31 Malik checks his answer and realizes he has made a mistake. On which line did Malik make his mistake? Explain Malik's mistake using the complete the square method in 1-3 complete sentences.

Answers

Completing the square method rearranges the equation to have the

square of linear equation and constant on both sides of the equation.

Responses:

The mistake is made in line 4The mistake is in not taking the square root of both sides

Which is the correct completing the square method?

The given equation is; x² - 10·x - 11 = 0

Line 1: p² - 10·p - 11 = 0

Which gives;

p² - 10·p = 11

Adding 25 to both sides gives;

Line 2: p² - 10·p + 25 = 11 + 25

11 + 25 = 36

Factorizing p² - 10·p + 25 = (p - 5)·(p - 5)  = (p - 5)²

Line 3: (p - 5)² = 36

Which gives;

p - 5 = ±√36

Line 4: p - 5 = √36 = 6 or p - 5 = -√36 = -6 (Line that has a mistake)

Line 5: p = 6 + 5 = 11, or p = -6 + 5 = -1

Line 6: p = 11 or p = -1

The line Malik made a mistake is on line 4

The mistake made is that in line 4, the root of both sides of the equation, rather than only the left side of the equation is to be taken.

The constant on the left and side is then subtracted from the positive

and negative value of the square root of the right hand side to give two

results.

Learn more about completing the square here:

https://brainly.com/question/3939104

A bar of soap is shaped like a right rectangular prism. The base is a rectangle that is 12 centimeters by 2 centimeters. The height is 3 centimeters. A second bar of soap is shaped like a square pyramid with the same volume as the first bar of soap. Each side of the base of the pyramid is 6 centimeters in length. What is the height of the pyramid?​

Answers

Answer:

6 cm

Step-by-step explanation:

Volume of a Prism = base area x height =

Base area = length x width =  12 x 2 = 24 cm^2

Volume = 24 x 3 = 72 cm^3

Volume of a pyramid = 1/3( l x w x h)

72 = 1/3( 6x6 x h)

Multiply both sides of the equation by 3

216 = 36 x h

divide both sides by 36

h = 6

please help me solve for the area

Answers

Answer:

-9

Step-by-step explanation:

why not

Answer:

5x4x9=180  then 4 divided by 2 is 2 then 2x180 you get the answer

Step-by-step explanation:

A grocery store 16 cartons of yogurt for sale, of which 8 are cherry. What is the probability that a randomly selected carton of yogurt will be cherry? write your answer as a percent

Answers

the probability would be 50%, because half of the cartons are cherry and half are not

Someone please help me I’ll give out brainliest please dont answer if you don’t know

Answers

Answer:

see explanation

Step-by-step explanation:

j - 4 ≤ 0 ( add 4 to both sides )

j ≤ 4

The graph has a closed circle at 4 on the number line with the arrow pointing left

Please answer correctly !!!! Will mark Brianliest !!!!!!!!!!!!!!

Answers

3:9

Total amount of shapes there are: 9
Amount of triangles there are: 3

Answer:

1:2

Step-by-step explanation:

Triangle = 3

Square = 6

3/3 = 1

6/3 = 2

1:2

Please Mark Brainiest

Jay took a number n and increased it by 25%. Then, he doubled the resulting product.
Which of the following is equivalent to these two steps and would result in the same final number?


A. doubling the number and then decreasing the result by 25%

B. increasing the number by 50%

C. multiplying the number by 1.25

D. multiplying the number by 2.5

Answers

Answer: multiplying the number by 2.5

Your answer

Step-by-step explanation:

Jay took a number n and increased it by 25%. This will be:

= n + (25% × n)

= n + (0.25 × n)

= n + 0.25n

= 1.25n

Then, he doubled the resulting product. This will now be:

= 2 × 1.25n

= 2.50n

Therefore, the equivalent will be option D "multiplying the number by 2.5".

If a1=10 and an An-1 + 4 then find the value of
05.

Answers

Answer:

26

Step-by-step explanation:

Just put n = 5 and substitute

Then a5 = a4 + 4 = a3 + 8 = a2 + 12 = a1 + 16 = 26

Please Help! The diagram shows the graph of y=2x+c, where c is a coonstant. Find the value of k.

Answers

Answer:

k = 6.5

Step-by-step explanation:

The question relates to the association of the association of the equation of a graph point(s) on the graph

The given equation of the graph, is y = 2·x + c

The value of 'c' is a constant

We note that the value of 'c' can be found when x = 0, as follows;

y = 2·x + c = 2 × 0 + c = c

∴ When x = 0, y = c

From the graph, when x = 0 we have the y-intercept, the point the graph crosses the y-axis, which is the point y = -3

Therefore;

When x = 0, y = -3 = c

∴ c = -3

The equation of the graph becomes, y = 2·x + (-3) = 2·x - 3

y = 2·x - 3

The other given point on the graph is the point (k, 10)

The value k is the x-value when y = 10

Substituting y = 10 in the equation for the graph gives the x-value at the point y = 10 as follows;

10 = 2·x - 3

2·x = 13

x = 13/2 = 6.5

x = 6.5 (when y = 10)

Therefore the point (k, 10) = (6.5, 10)

By comparing the two equal coordinates, we have;

k = 6.5.

Geraniums are $2.95 each. How much will 5 plants cost? (include 7% sales tax.)

Answers

2.95x5=14.75 7% of 14.75=1.0325 14.75+1.0325=15.7825 or just $15.78

A ladder is placed against a building so that it reaches 35 feet up the side of the building when its base is 12 feet from the base of the building. How long is the ladder?

Answers

Answer:

35 multiplied by 12

Step-by-step explanation:

Because either you multiply it or you do sohcahtoa

since the triangle is
a.right
b.isosceles
c.equilateral​

Answers

Step-by-step explanation:

plz write full question

Answer:

I need a more information

Step-by-step explanation:

Can someone please help! I'll do anything you want!

Can the sides of a triangle have lengths 3, 7, and 13?
Yes or No

Answers

Answer:

No

Step-by-step explanation:

Since the hypotenuse is 13, the 2 legs' sum HAVE to be GREATER than the hypotenuse or else it is not a triangle.

"A triangle is valid if sum of its two sides is greater than the third side."

answer this question for 30 points and brainilest

Answers

Answer:

Volume of left side cylinder will be less than the volume of right side cylinder.

Step-by-step explanation:

Volume of a cylinder is given by the formula,

Volume = πr²h

Here, r = radius of the circular base

h = Height of the cylinder

Volume of the left hand cylinder = π(b)²a

Volume of the right hand cylinder = π(a)²b

It's given in the question that a > b

Let the value of a = 3 and b = 2

Then the volume of left hand cylinder = π(2)²(3)

                                                               = 12π

Similarly, volume of right hand cylinder = π(3)²(2)

                                                                 = 18π

Therefore, volume of left side cylinder will be less than the volume of right side cylinder.  

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