Which of the following represents the ratio of the hypotenuse to the given
side?

A. 2:1
B. 1:2
C. 1:√2
D. √2:1

Which Of The Following Represents The Ratio Of The Hypotenuse To The Givenside?A. 2:1B. 1:2C. 1:2D. 2:1

Answers

Answer 1

Answer: Choice D)  [tex]\sqrt{2}:1[/tex]

Explanation:

The diagram shows the hypotenuse is [tex]6\sqrt{2}[/tex] units long and the leg is 6 units long. This forms the ratio [tex]6\sqrt{2}:6[/tex] where the hypotenuse is listed first. This is because it's mentioned first in the instructions (when compared to the other side 6).

We then divide both parts of the ratio [tex]6\sqrt{2}:6[/tex] by 6 to end up with the final answer [tex]\sqrt{2}:1[/tex]. This ratio says "the hypotenuse is exactly [tex]\sqrt{2}[/tex] times that of the leg length". This only applies to 45-45-90 triangles.

Answer 2

Option D is correct, √2 : 1 represents the ratio of the hypotenuse to the given side.

What is Trigonometry?

Trigonometry is a branch of mathematics that studies relationships between side lengths and angles of triangles.

The given triangle is a right triangle.

6√2 is the hypotenuse of the triangle.

We have to find the ratio of the  hypotenuse to the given side.

Let the adjacent side length is 6.

The ratio is hypotenuse by the side length

6√2/6

The 6 on numerator and denominator will be cancelled.

√2/1

Hence, √2 : 1 represents the ratio of the hypotenuse to the given side.

To learn more on trigonometry click:

https://brainly.com/question/25122835

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Related Questions

Miguel's family drinks 3 gallons of milk
every 2 weeks. How many gallons of milk
does Miguel's family drink in 6 weeks?
A 4 gallons
B 6 gallons
C 7 gallons
D 9 gallons

Answers

D because ugh I don’t feel like explaining

Jesse has reached 16% of his weekly reading time goal so far this week. If he has read for a total of
32 minutes this week, what is his weekly reading time goal in minutes?

Answers

x = time goal

16% = .16

.16 x = 32

x = 32/.16 = ___________ minutes

Jesse' weekly reading time is an illustration of ratio and proportion.

Jesse' weekly reading time is 200 minutes

Represent the reading time with x.

16% of his weekly reading time is given as 32 minutes

This is represented using the following equation

[tex]16 \% \times x = 32[/tex]

Express 16% as decimal

[tex]0.16\times x = 32[/tex]

Divide both sides by 0.16

[tex]x = 32/0.16[/tex]

[tex]x = 200[/tex]

Hence, Jesse' weekly reading time is 200 minutes

Read more about proportions at:

https://brainly.com/question/1781657

25 POINTS GIVING BRAINLIEST TO WHOEVER ANSWERS UT RIGHT!!A right triangle has hypotenuse with a length of 13 cm. The length of one leg is 5 cm. What is the area of the triangle?
A.65
B.60
C.32.5
D.30

Answers

Answer:

Hello! answer: 30

Step-by-step explanation:

13 × 13 = 169

5 × 5 = 25

169 - 25 = 144

12 × 12 = 144 therefore 12 is the missing leg

so we will use this to find the area so...

12 × 5 = 60 60 ÷ 2 = 30 therefore the answer is 30 hope that helps!

Find the cosine of ∠G (Must give explanation)

also why does my calculator say its undefined if I do the cos invert of (85/77) ??

cos^-1(85/77) = undefined ?? why

Answers

Answer:

[tex]\displaystyle \cos (G)=\frac{36}{85}[/tex]

Step-by-step explanation:

Recall that cosine is the ratio of the adjacent side to the hypotenuse:

[tex]\displaystyle \cos(G)=\frac{\text{adjacent}}{\text{hypotenuse}}[/tex]

The hypotenuse is always the side opposite to the right angle. In this case, it is

85.

The adjacent side to G is 36.

Therefore:

[tex]\displaystyle \cos (G)=\frac{36}{85}[/tex]

For your other question, remember that in a right triangle, cosine is the ratio of the adjacent side to the hypotenuse.

As you know, the hypotenuse is always the longest side in a right triangle.

Therefore, the ratio of the adjacent side to the hypotenuse will never be greater than 1.

Since 85/77 is greater than 1, it is undefined.

The same applies to sine as well.

round 990.54 nearest hundred​

Answers

Answer:

991 is the correct answer

Find the length of the third side. 20 24

Answers

Answer:

Hypotenuse (Third side) = 31.24

Step-by-step explanation:

20² + 24² = Hypotenuse²

400 + 576 = Hypotenuse²

976 = Hypotenuse²

[tex]\sqrt{976}[/tex] = Hypotenuse

31.24 = Hypotenuse

Therefore, the measure of the third side would be: 31.24

Hope this helps!

Divisibility rules for 2, 5, and 10

Which numbers are divisible by 5?

A)826

B)270

C)271

or none of these

Answers

Answer:

B is divisible by 5

Step-by-step explanation:

5 divisibility rule is that the number has to end in 5 or 0. Only B ends in 0, so b is the answer.

Answer:

B)270

Step-by-step explanation:

Divisibilty rule for 5: A number is divisible by 5 if the last digit is 0 or 5

Can u guys do this or nah?

Answers

Answer:

2. 7 parts are not green. 3. There both equal amounts.

Step-by-step explanation:

Answer:

Orange:

1/4 ÷ 4 = 1/16

1/4 + 1/16 = 5/16

Blue:

1/16 + 1/5 = 21/80

Yellow:

1/4 + 1/16 = 5/16

Green:

1 - 1/5 = 4/5

1/16 + 4/5 = 69/80

__________________

1 - 69/80 = 11/80

__________________

5/16 - 21/80 = 1/20

HELP ME PLEASE!! ILL MARK U BRANLIEST!

Answers

Answer:

Part A- B Part B- 50

Step-by-step explanation:

4x=200 if x represented 50 than 4X50 = 200 !

Answer:

(B)

(A)

Step-by-step explanation:

Part 1)

If each scarf is 4 bucks, for every scarf you add $4. Another way of writing that is 4x. If the total money made is 200 bucks, you would write 4x=20.

Part 2)

Syrilla needs to sell (A) 50 scarves in order to earn $200

x=50

4(50)=200

that is true, so it is correct

Y= -2/5x-10
What is the slope of a line perpendicular to y =
What is the slope of line JK?

Answers

Answer:

perp. just switch from -2/5 to positive 5/2

Step-by-step explanation:

Answer:

m2 =5/2

Step-by-step explanation:

m1=-1/m2

m2=-1/m1

y=-2/5x-10

m1=-2/5

m2= -1/-2/5

m2=5/2

y=5/2x-10 ⊥ y=-2/5x-10

Please Help Me! The question is :
Without graphing find the slope of the line that passes through the points (2,2) and (4,6).
Use the change in y over the change in x.

Answers

Answer:

y = 2x - 2

Step-by-step explanation:

y2 - y1 / x2 - x1

6 - 2 / 4 - 2

4 / 2

=2

y = 2x + b

2 = 2(2) + b

2 = 4 + b

-2 = b

Answer:

Answer:

Solution given:

[tex](x_1,y_1)=(2,2)[/tex]

[tex](x_2,y_2)=(4,6)[/tex]

now

slope:[tex]\frac{y_2-y_1}{x_2-x_1}=\frac{6-2}{4-2}=\frac{4}{2}[/tex]=2

Slope: 2

Find the measure of arc YX in the inscribed angle C in the circle below

Answers

Answer:

Arc YX = 104°

Step-by-step explanation:

Arc YX + Arc YZ + Arc XZ = 360° (full circle = 360°)

Substitute

Arc YX + 110° + 146° = 360°

Arc YX + 256° = 360°

Arc YX = 360° - 256°

Arc YX = 104°

What are 3 tips to solve quadratic equations using the quadratic formula?

Answers

Answer:

Step-by-step explanation:

I would say the first thing you should always do is graph the quadratic. See where the x intercepts are. If there aren't any, go onto step 2. If there are, make note of them. The quadratic formula will give you the same answer. You can use Desmos to graph the quadratic.The second thing to do is to test what is under the square root (called the discriminate).  If you get something weird like the square root of a minus number, then the graph should have told you that the quadratic does not cross the x axis at all.When you have done those two things, you are ready to use the whole quadratic. Watch out for -b at the beginning. If b is - 4 (for example) the -b will make it 4

Tucker's Road Paving Company used 646.5 tons of cement to pave 4 miles of roadway. To the nearest hundredth of a ton, how much cement, on average, did the company use per mile?

Answers

Answer:

161.63 tons

Step-by-step explanation:

Cement used per mile = total cement used / total miles

646.5 tons / 4 = 161.625 tons

161.63 tons to the nearest hundredth

the hundredth is the second number after the decimal place. To convert to the nearest hundredth, look at the number after the hundredth (the thousandth). If the number is greater or equal to 5, add 1 to the hundredth figure. If this is not the case, add zero

the thousandth term is 5, so 1 would be added to 2

Explain why each statement is true.
1. 5+2+3=5+(2+3)
2. 9a is equivalent to 11a-2a
3. 7a + 04 - 2a is equivalent to 7a + -2a + 4
4. 8a-(8a-8) is equivalent to 8

Answers

Step-by-step explanation:

1. 5+2+3=5+(2+3) 2. 9a is equivalent to 11a-2a 3. 7a + 04 - 2a is equivalent to 7a + -2a + 4 4. 8a-(8a-8) is equivalent or = to 8.

When 62 + 5y - 112 + 7y is simplified results is? *​

Answers

Answer:

-50+12y

Step-by-step explanation:

62+5y-112+7y

62-112+5y+7y

-50+5y+7y

-50+12y

help please will be markedas brainliest if correct

Answers

3x(7+10)=G+30

21x+30=G+30

-30 -30

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

21x=G

Answer: G=21x

5x(3+H)=15+45

15x+5h=15+45

-5 -5

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

15x+h=15+40

-15 -15

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

x(h)=40

a^2 + b^2 ( giải dùm mình nha )

Answers

Your answer is a2b2 get it

The sum of two rational numbers will always be
O an irrational number.
an integer
a rational number
a whole number.

Answers

Step-by-step explanation:

The sum of two rational numbers will always be a rational number.

The figure is made up of a cylinder and 2 cones. What is the volume of the composite figure? Use 3.14 for Pi. Round to the nearest hundredth.

Please help!!!!!
A cylinder and 2 cones. All have a radius of 2 millimeters. The cones have heights of 4 millimeters and 2 millimeters, and the cylinder has a height of 5 millimeters.

Recall the formulas V = B h and V = one-third B h

Answer——————- millimeters cubed

Answers

Answer:

96.29  mm^3

Step-by-step explanation:

Cylinder

V = pi r^2 h

V = 3.14 ( 2)^2 ( 5)

V = 3.14 *4*5

V =62.8 mm^3

Cone

V = 1/3 pi r^2 h

V = 1/3 (3.14) 2^2 ( 4)

V =1/3 (3.14) 4*4

V =16.746666666 mm^3

There are 2 cones so multiply by 2

Both cones = 33.493333333333 mm ^3

Add the cones and the cylinder together

62.8+33.493333333 =96.293333333

Rounding to the nearest hundredth

96.29  mm^3

Answer:

I did the other guy's answer, and... it was incorrect

the real answer is shown below

Twice a number, increased by 5 is more than 12. Which of the following is not a solution?

3
4
6
5

Answers

Answer: 3

Step-by-step explanation:

3x2=6

6+5=11

11 is smaller than 12

HEY can some please help me out I will give you BRAINLEST!!!

Answers

Answer:

b the second 1

Step-by-step explanation:

PLZ HELP ILL GIVE BRAINLY!!!!!!!!!!!!

Answers

Answer:

Step-by-step explanation:

(3-[tex]\sqrt{2[/tex])(3+[tex]\sqrt{2[/tex])

=(3)^2-([tex]\sqrt{2[/tex] )^2

=9-2

=7

The correct answer is C

Solve.
6n + 12 = -60 - 35

Answers

Answer:

6n + 12 = -60 - 35

-12              -12

6n = -107

Divide by 6 on both sides:

N = -17.8333333333  around -17

Step-by-step explanation:

We need to isolate the variable meaning keeping the variable by itself on the left side. In order to do that we must get rid of any constants or co-efficients.

Answer:

Hey mate......

Step-by-step explanation:

This is ur answer.....

6n + 12 = -60 -35

= 6n + 12 = -95

= 6n = -95 - 12

= 6n = -107

= n = -107 / 6

= n = 17.83

Hope it helps!

Brainliest pls!

Follow me! :)

Can I get some help on this question pls

Answers

Answer:

the third option

Step-by-step explanation:

u can see by the lines of each side of the triangles

ST=ML

SU=MN

TU=LN

so triangle TSU is congruent to triangle LMN

Danny is measuring rainfalll.For a.Science project in september 7/8 inch of rain fell in october 2 1/4 invhes of rain fell how much. More rain fell in october than september

Answers

Answer: [tex]1\dfrac{3}{8}\ \text{inch}[/tex]

Step-by-step explanation:

Given

Rainfall in September is [tex]\frac{7}{8}[/tex] inch

Rainfall in October is [tex]2\frac{1}{4}[/tex] inch

Convert mixed fraction into fraction

[tex]\Rightarrow 2\dfrac{1}{4}=\dfrac{9}{4}\ \text{inch}[/tex]

Difference between the two gives that how much more rain fall in October compared to September

[tex]\Rightarrow \dfrac{9}{4}-\dfrac{7}{8}\\\\\Rightarrow \dfrac{18-7}{8}\\\\\Rightarrow \dfrac{11}{8}\ \text{inch or}\\\\\Rightarrow 1\dfrac{3}{8}\ \text{inch}[/tex]

A) 5
B) 6
C) 3
D) 1

Answers

I think it’s B) 6
.
.
.
.
.

Besties help me please school ends this Friday (tmr) and I have over 100 missing assignments and don’t have time to do them all so please helppppp

Answers

#5
Part A)
y=2+9x
B)
$47
C)
9 games
#6
A) C=$12+$3t
: 1/6 toppings
hi! do you still need help with assignments?

Which proportion could be used to find the missing side length x

Answers

Answer:

C

Step-by-step explanation:

Corresponding parts of similar triangles are proportionate

Please, Just please help me

Answers

Answer:

37

Step-by-step explanation:

The range is the largest number minus the smallest number

99 is the largest number

62 is the smallest number

99-62

37

The range is the difference between the largest number and the smallest number.

Largest number is 99

Smallest number is 62

Range = 99-62 = 37

The answer is C) 37

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