finding side length of the 90-degree angle triangle

Finding Side Length Of The 90-degree Angle Triangle

Answers

Answer 1

Answer:

x = 4

Step-by-step explanation:

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

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

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

[tex]\sqrt{2}[/tex] x = 4[tex]\sqrt{2}[/tex] ( divide both sides by [tex]\sqrt{2}[/tex] )

x = 4


Related Questions

Julien is baking cookies with his mother.

The recipe calls for:

1 ½ cups of flour

2 ⅔ cups of oatmeal

3 ¼ cups of chocolate chips

1 cup of sugar

½ cup of brown sugar

The only measuring cups that Julien can find are ⅛ cup and ⅓ cup. How will he make the cookies?

Answers

Answer:

well quite easily just doing the math

Step-by-step explanation:

Ta -Da

1 1/2 cups of flour = 12/8 cups of flour

2 2/3 cups of oatmeal = 2 2/3 cups of oatmeal

1 cup sugar = 3/3 or 8/8 cups of sugar

1/2 cup of brown sugar = 4/8 cups of brown sugar

AB formed by (0-2) and (0,7)
CD formed by (3,-5) and (6,-5)

Answers

Answer:

AB is undefined, CD is y = -5

Step-by-step explanation:

Find both of the line's slopes. You can use the formula for slope to calculate this answer because you know two points on the line for both lines (Look below). If you plug in the points for AB, you would have ( -2 - 7)/0, which would be undefined, because anything divided by 0 is undefined. Since the slope for AB is undefined, it is undefined. Next, we have CD. If you plug in the points for CD, you would get (-5 - (-5))/(6 - 3), which would be 0/3, which is 0. This means that the slope is 0. Next, we have to plug in the points for CD into the formula for equation of the line (Look Below), which would be y - (-5) = 0 * (x - 6), which simplifies to y + 5 = 0, which is y = -5.

Formula for Slope:

[tex]\frac{y1 - y2}{x1 - x2}[/tex]

Usable with 2 points of the line given ((x1, y1) and (x2, y2))

Formula for Equation of the Line:

[tex]y - y1 = slope * (x - x1)[/tex]

Usable with the slope and a point given ((x1, y1))

Answer: AB is undefined (AB is not a relationship, slope is undefined (Vertical Line)) and CD is y = -5 (Horizontal Line)

Two polygons are similar. Find measure of angle c

Answers

Answer:

the answer should be 48 because a triangle is 180.

Step-by-step explanation:

you would do 180-65-67=48

Answer:

48

Step-by-step explanation:

65+67=132

180-132

48

please please help!!

Answers

Answer:

108 No explanation needed, mark me brainliest

Answer:

108 is your correct answer

Step-by-step explanation:

On a certain day the temperature in Austin was 10.2°C and the temperature in New York City was -4.8°C. ​What is the difference in temperature between the two cities​?

Show your work please and if you do you get 60 points!!!!
good luck and please don't get the wrong answer. it took me a long time to get the points so please and good luck!

Answers

Answer:

15°C

Step-by-step explanation:

Find the difference by subtracting -4.8 from 10.2

10.2 - (-4.8)

Subtracting a negative number changes to adding a positive number:

10.2 + 4.8

= 15

So, the difference in temperature between the two cities is 15°C

If a rectangle has a perimeter of 58 ft and a length of 4 feet what is the width of the rectangle?

Answers

Answer:

25ft

Hoped this helped!

y = 2x+3
2x + 5y = 3
SOLVE using substitution please show work !

Answers

Answer:

x= -1

Step-by-step explanation:

2x + 5 (2x+3) =3
2x + 10x + 15 = 3
12x + 15=3
12x=-12
x=-1
y=1

Wendy walked 2miles in 30 minutes. At this rate, how many miles could Wendy walk in 90 minutes

Answers

Answer:

6 miles in 90 minutes

Step-by-step explanation:

Since wendy is walking at a fair constant rate, you would multiply 3x30 to get 90 minutes and you will multiply 2x3 to get 6 miles

Answer:

6 miles

Step-by-step explanation:

90 divide by 30= 3

3*2 =6

Help me with a question or two have a good day

Answers

Answer:

C

Step-by-step explanation:

Read. Conflict = bad.

Someone please explain this to me.

Answers

Answer:

A is the answer

Step-by-step explanation:

Becuase if it has the same radius and the same height. then they will both be equal.

Amal can run 1/8 mile in 1 1/2 minutes how long would it take Amal to run 3 miles at that pace.

Answers

Answer:

1/2 a mile is 6 minutes making 1 mile 12 minutes

12*3 = 36 minutes

it would take Amal 36 minutes to run 3 miles

Step-by-step explanation:

i hope this helps :)

Step-by-step explanation:

jjebdnnddmldkxdnnsksms

Plsssss help??? Also do any of u know a graphing app that shows u the points and were to put them?

Answers

Answer:

See below

Step-by-step explanation:

There are two ways to graph an equation.

1st Way:

We can use a graphing calculator. (See the attached file)

2nd Way:

We can take the values of x as 0, 1 , 2 (Or anything).

Then, We have to put the values of x in the equation to get the value of y accordingly.

According to these values, Plot the graph.

Also,

Slope = 5 / 6

y-intercept = 1

[tex]\rule[225]{225}{2}[/tex]

Hope this helped!

~AH1807

If DF=70, find the value of x.

Answers

Answer:

x = 12

Step-by-step explanation:

DE + EF = DF

2x - 1 + 5x - 13 = 70

7x - 14 = 70

7x = 70 + 14

    = 84

x = 84 ÷ 7

x = 12

Answer: x=12

Step-by-step explanation:

2x-1+5x-13=70

Combine like terms

7x-14=70

Add 14 to both sides

7x=84

Divide both sides by 7

X=12

Michele wanted to measure the height of her school's flagpole to place on the ground 35 ft from the flagpole then walks backwards until she was able to see the top of the pole in the mirror her eyes were 5 feet above the ground and she was 12 ft away from the mirror using similar triangles, find the height of the flagpole to the nearest of a foot

Answers

Answer:

15 feet

Step-by-step explanation:

Michele wanted to measure the height of her school's flagpole to place on the ground 35 ft from the flagpole then walks backwards until she was able to see the top of the pole in the mirror her eyes were 5 feet above the ground and she was 12 ft away from the mirror using similar triangles, find the height of the flagpole to the nearest of a foot

Using similar triangles

= Let the height of the flagpole be represented as h.

h/35 =5/12

We cross Multiply

35 x 5 = 12h

12h = 175

h = 175/12

h = 14.583333333 feet

Approximately to the nearest foot is

h = 15 feet

What are Periodic tables

Answers

periodic table are elements that arranges the chemical elements such as hydrogen, silicon, iron, and uranium according to their recurring properties. ... The seven

Find the measure of

Answers

Answer:

50 degrease

Step-by-step explanation:

90-40

easy question:

avery has 2 bananas and joshua has 5 apples, what is the ratio of bananas to apples?

Answers

the ratio of bananas to apples is 2:5

Answer:

Answer is 2/5 , 2:5 , 2 to 5

Step-by-step explanation:

when it's asking for a ratio ur basically dividing

bananas/apples= 2/5

Answer is 2/5 , 2:5 , 2 to 5

A(3, 3), 60, 6) and co, 4),
Write down the coordinates of the points marked on the graph below.
2
1​

Answers

Answer:

yo bro

Explanation:

im no there to answer but im doing a challenge so pls dont report me

help me theres 1 more question and if i get it right i get 67

Answers

Answer:

$5.45

Step-by-step explanation:

$54.50 ÷ 10 = $5.45

Hope that helps.

Answer:

$5.45

Step-by-step explanation:

10 gallons is54.50 dollars

54.50 divided by 10

5.45

What is the square root of ab2?

Answers

Answer:

ab

Step-by-step explanation:

The square root cancels out the squaring exponent

What is the relationship of the angles labelled x and y

Answers

Answer:

theres no attachment!

i could help you if there was

Step-by-step explanation:

PLEASE HELP I NEED IT LIKE ASAP!!!

Answers

Answer: oop i forgot

Step-by-step explanation srry

first hole needs 6 square feet, second hole needs 2 square feet.

what is the vaule of m in the expression m^2(2-3m)-6m(1-4m+5m^2)

Answers

Answer:

1 ( 12-3m ) - 5m ( 11-4m+25)

1 ( 9m ) - 5m ( 32m )

9m -5m ( 32m )

4m ( 32m )

32×4 = 128 m

128 m

Answer:

Without an equivalence given (i.e. an equals sign somewhere in the expression), we have no way of solving for m.

We can however simplify it:

m²(2 - 3m) - 6m(1 - 4m + 5m²)

= 2m² + 3m³- 6m + 24m² - 30m⁴

= 26m² + 3m³ - 6m - 30m⁴

= m(-30m³ + 3m² + 26m - 6)

please answer, the question on the attachment

Answers

1.9/10. 2.22 3.64. 4.3.15. 5.160. 6.81

what comes next in this pattern 8, 16, 24, 32
HELP!!

Answers

Answer: 40

Step-by-step explanation: The pattern goes by 8's

Answer:

40 the number is 40..your welcome

Water boils at 100LaTeX: ^\circ∘ Celsius or 212LaTeX: ^\circ∘ Fahrenheit. Water freezes at 0LaTeX: ^\circ∘ Celsius or 32LaTeX: ^\circ∘ Fahrenheit. If the weather forecaster says it will be 30LaTeX: ^\circ∘ Celsius today, write and solve a linear equation to find what Fahrenheit temperature this is.

Answers

Answer:

[tex]F = 1.8C +32[/tex]

[tex]F = 86^{\circ}F[/tex]

Step-by-step explanation:

Represent Celsius with C and Fahrenheit with F.

So, we have:

[tex](C_1,F_1) = (100,212)[/tex]

[tex](C_2,F_2) = (0,32)[/tex]

Solving (a): Represent as a linear equation

First, we calculate the slope:

[tex]m = \frac{F_2 - F_1}{C_2 - C_1}[/tex]

This gives:

[tex]m = \frac{32 - 212}{0 - 100}[/tex]

[tex]m = \frac{-180}{- 100}[/tex]

[tex]m = 1.8[/tex]

The linear equation is then calculated using:

[tex]F - F_1 = m(C -C_1)[/tex]

Where

[tex](C_1,F_1) = (100,212)[/tex]

[tex]m = 1.8[/tex]

[tex]F - 212 = 1.8(C -100)[/tex]

[tex]F - 212 = 1.8C -180[/tex]

Make F the subject

[tex]F = 1.8C -180+212[/tex]

[tex]F = 1.8C +32[/tex]

Solving (b): The value of F when C = 30

Substitute 30 for C in [tex]F = 1.8C +32[/tex]

[tex]F = 1.8 * 30 + 32[/tex]

[tex]F = 54 + 32[/tex]

[tex]F = 86[/tex]

Answer:

person above me is wrong

Plsss help I don't know how to graph I will give brainiest!Plsss help I don't know how to graph I will give brainiest!

Answers

Select your 2 points

Arrange the rational numbers in order from greatest to least. Select each rational number and drag up or down to change the position in the list.
1/4, 0.4, 4%, 0.4
also the last 0.4 has a line over top of it :) plz help......

Answers

Answer:

1/4, 0.4, 0.4/w line, and 4% I think

Step-by-step explanation:

BRAINLIEST! URGENT!
Can someone please help me with this? I know its C cause someone answered it. ut didnt explain.​

Answers

Answer:

c) 160,000

Step-by-step explanation:

Since we know that the population of both city x and city y are equal in 2015, we can use the population growth of population of city x to find the population in 2015:

120,000 x 1.2 = 144,000.

Now, since we know that City Y's population decreased 10% from 2010 to 2015, we can divide the 2015 population of city Y (which is the same as city x - 144,00) by 1 - decrease rate to find city y's population in 2010:

1 - .1 = .9

144,000 / .9 = 160,000

I hope this helps!

-TheBusinessMan

Please help me solve number 1. Urgent.

Answers

Answer:

x^-(3/2) which is (1)

Step-by-step explanation:

squared root of x³ is basically x^(3/2)

And if the question is 1/x^(3/2), then you can simply answer x^-(3/2) which is (1)

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