Mathematics Middle School

What is the value of y? Triangle A B C has right angle C with hypotenuse labeled 6. Angle A is 60 degrees and its opposite side B C is labeled y. Enter your answer, as an exact value, in the box. y =

Answers

Answer 1

Answer:

$y=6\sqrt{3}$.

Step-by-step explanation:

It is given that,

Hypotenuse : AB=6 units.

Perpendicular : BC=y units.

$\angle BAC=30^{\circ}$

We know that, in a right angle triangle,

$\tan \theta=\dfrac{Perpendicular}{Hypotenuse}$

In triangle ABC,

$\tan A=\dfrac{BC}{AB}$

$\tan (60^\circ)=\dfrac{y}{6}$

$\sqrt{3}=\dfrac{y}{6}$ $[\because \tan (60^\circ)=\sqrt{3}]$

Multiply both sides by 6.

$6\sqrt{3}=y$

Therefore, $y=6\sqrt{3}$.

Answer 2

Answer:

Step-by-step explanation:

you can solve this 2 different ways:

You can use the sine ratio or, since the triangle is a 30 60 90,you can solve it that way.

sine 30 = opposite/hypotenuse

sin 30 = y/6

(sin 30)6 = (y/6)6

sin 30 (6) = y

y = 0.5 (6)

y = 3

Since triangle ABC is a 30 60 90 triangle, the hypotenuse will always be 2 times the shorter leg:

hypotenuse = 2(shorter leg)

6 = 2y

6/2 = 2y/2

3 = y

y = 3

Related Questions

Which equation is a direct variation function?

y = x²
y = 1/4x + 2
y = 4
y = x

Answers

y=X equation is a direct variation function.

The answer is y=x because it is a direvt variation

4. The following table represents a proportional situation:

A. What is the constant of proportionality?

B. If D represents Days and B represents Birds Seen, what equation represents this situation?

Answers

A. 7 is the constant of proportionality, 7 birds per day

B. 7B+D=Total birds seen

7 birds per day + the number of days they've been watching the birds

Answer:

A. 7 is the constant of proportionality, 7 birds per day

B. 7B+D=Total birds seen

7 birds per day + the number of days they've been watching the birds

Step-by-step explanation:

I will give you a crown for life if you tell me factor tree for 64 and 72 PLEASE

Answers

Answer: see below

Step-by-step explanation:

Factor Tree

64 72

∧ ∧

8 · 8 8 · 9

∧ ∧ ∧ ∧

4·2 4·2 4·2 3·3

∧ ∧ ∧

2·2 2·2 2·2

64: 2 · 2 · 2 · 2 · 2 · 2

72: 2 · 2 · 2 · 3 · 3

There you go (also what is a crown?)

I will give you a crown for life if you tell me factor tree for 64 and 72 PLEASE

Consider the situations in the table below
Situation A: A hang glider descended 33.57 feet, and then ascended 14.98 feet.
Situation B: A football team gained 7 2/5 yards in one play, and then lost 3/5 of a yard in the next play.
Situation C: A hiker walked 3 1/6 miles yesterday and 2 1/2 miles today.
Situation D: A worker earned $23.66 Monday and spent $15.84 Tuesday.

Calculate the sum of each situation. Order the situations from least to greatest based on the numeric value of the sums.

Answers

Answer:

Step-by-step explanation:Situation A: The hang glider descended 33.57 feet and again ascended 14.98. So 33.57 - 14.98 = 18.58. So now the hang glider is at 18.58 feet

Situation B: Initially they gained 7 2/5 yards and then lost 3/5 yards.

7 2/5 yards can be written as 37/5. As they lost 3/5 yards, 37/5 - 3/5 = 34/5. So the remaining yards are 34/5 yards.

Situation C: Hiker walked 3 1/6 miles and then 2 1/2 miles. So the total distance is 3 1/6 + 2 1/2 = 5 4/6 miles.

Situation D: Total amount earned is $23.66 + $15.84 = $39.5.

Answer:

Step-by-step explanation:Situation A: The hang glider descended 33.57 feet and again ascended 14.98. So 33.57 - 14.98 = 18.58. So now the hang glider is at 18.58 feet

Situation B: Initially they gained 7 2/5 yards and then lost 3/5 yards.

7 2/5 yards can be written as 37/5. As they lost 3/5 yards, 37/5 - 3/5 = 34/5. So the remaining yards are 34/5 yards.

Situation C: Hiker walked 3 1/6 miles and then 2 1/2 miles. So the total distance is 3 1/6 + 2 1/2 = 5 4/6 miles.

Situation D: Total amount earned is $23.66 + $15.84 = $39.5.

Step-by-step explanation:

What is the solution to this equation?

−1/5(x+1 3/4)=−2 1/
2

Responses

x=21 1/4
x equals 21 and 1 over 4

x=14 1/4
x equals 14 and 1 over 4

x=10 3/4
x equals 10 and 3 over 4

x=3 3/4

I WILL GIVE BRAINLYEST

Answers

Answer:

10 3/4

Step-by-step explanation:

$x + \frac{7}{4} = - \frac{5}{2} \times - \frac{5}{1} \\ x = \frac{25}{2} - \frac{7}{4} \\ x = \frac{43}{4} \\ x = 10 + \frac{3}{4} $

Anyone with a knee injury or any doctor! What does it mean if my knee popped locked up all in like 1.5 seconds and then it now hurts to bend but not alot and i can wiggle my kneecap like a lot. This is the 2nd time in like 7-9 months! Please help! Comment if there is no more answers left!

Answers

Answer:

Knee pain can have causes that aren't due to underlying disease. Examples include heavy physical activity, lack of use, injuries such as sprains or strains, sitting in a constrained area, or sitting on knees for a prolonged period.

Step-by-step explanation:

possibly Chondro malacia

Damage to the cartilage under the kneecap.

Symptoms may include

Knee pain

Cracking joints

Swelling of the knee

Please go to your doctor...ik it hard with cov id and everything

It could be hereditary, or it could just be a weak muscle. I have knee problems. If it’s just your knee cap that is dislocating you can do simple exercises to strengthen the muscle around it to hold it in place. If it’s your actual knee you should get it checked out to see if there is anything else going on. If it continues and there’s nothing “wrong” they’ll have you do physical therapy. When this dislocation happens, keep your knee up above your heart and ice it. After you pop it back on. And take pain relief. Wear a knee brace as well

1. Elena takes two triangles off of the left side and three triangles off of the right side. Will the hanger still be in balance, or will it tip to one side? Which side? Explain how you know.

2. Can you find another way to make the hanger balance?

3. If a triangle weighs 1 gram, how much does a square weigh? Can you find another pair of values that makes the hanger balance?

Answers

Answer:

yes it will because if she took 2 from the left side it would leave 3 sqaures and if you took 3 triangles from the right side then that will leave you with 2 triangles and 1 sqaure so they are balanced

Step-by-step explanation:

Which situation could NOT represent a proportional relationship?

Answers

Answer: D
Explanation: to find whether two instances are proportional, find the rate of change for each situation. Simply divide both numbers from both situations and if the numbers are not the same they are not proportional.

Yes they are right it is D

An equation is shown below: 4c + 2(x-3) = 4x + 2x - 11 Part A: solve the equation and write the number of solutions. Show all the steps. Part B: Name one property you used to solve this equation.

Answers

Part A: first multiply 2 by x and -3 → combine all like terms → Add 6 on both sides → subtract 6x from both sides.

Your final answer should be -5

step by step: 4x + 2(x-3) = 4x + 2x - 11

4x +2x -6 = 4x + 2x - 11

6x -6 = 6x - 11

6x = 6x -11 +6

6x = 6x -5

6x-6x= -5

0 = -5

Part B: Add all like terms.

Hope this helps! :)

There is NO SOLUTION. We used the distributive property to distribute the 2(x-3).

Explanation:
4x+2(x-3)=4x+2x-11
4x+2x-6=4x+2x-11 Distribute 2 by x-3
6x-6=6x-11 Combine Like Terms
-6=-11 Subtract Weaker X
-6≠-11 Find Answer

-6 does not equal -11, so there is no solution to this equation.

Viet, quinn, and lucy are going to play bingo B 1-15, I-16-30, N-31-45, G-46-60, O-61-75.
Lucy makes a probability model to determine whether the first number drawn will be even or odd. Compare the different probabilities.

Answers

according to my understanding it will be odd because there are more odd numbers than even numbers in 1-15

15/1
15

Answer:odd. I don't know if I'm right though.

Step-by-step explanation:

I think it's odd as it be -15 which is odd.

I really hope this helps.

HELP PLEASE I REALLY NEED HELP

Answers

-3.121875

First step is take it out of fractions and into decimals, they are easier to work with.

(0.5x1.125)x(2.66x3.33)x7.5

Then PEMDAS

Parentheses
0.625x-0.66x7.5

Then multiply

-0.41625x7.5

Answer
-3.121875

Hi how has your day been

Five-sevenths of the T-shirts in a T-shirt shop are blue. Seven-ninths of those T-shirts are on sale. One-fifth of the blue
T-shirts that are on sale are size medium. What fraction of the shop's T-shirts are blue T-shirts that are on sale and are size
medium? Explain.
The fraction of T-shirts that are blue, medium, and on sale is

Answers

Answer: One-Eighths of T-shirts

^^^^^^^^^^^^^^^^^^^^^^^

Plz I need your help I will mark brainliest!!Which answer best describes the shape of this distribution?

skewed right

skewed left

bell-shaped

uniform
An untitled line plot from 35 to 49. The plot displays the following values as dots above the corresponding value on the number line. One dot at 36. One dot at 37. One dot at 38. One dot at 40. Two dots at 41. One dot at 42. Three dots at 43. Four dots at 44. Five dots at 45. Three dots at 46. Two dots at 47. One dot at 48.

Answers

Answer:

What website is this on?

Step-by-step explanation:

Answer:

Skewed left

Step-by-step explanation:

doing this again since apparently no one can do it...

please provide answer and explanation as to how you got there!!

Answers

Answer:

742.5 in^2

Step-by-step explanation:

A = 1/2 b*h

A = 1/2 (45 * 33)

A = 1/2 * 1485

A = 742.5

Can someone help me solve this? Pls and ty!

Answers

Answer:

H. 95°

Step-by-step explanation:

m∠BGC is 10° smaller than m∠CGD, which means that m∠BGC is x° - 10°

m∠DGE is 25° more than m∠EGF, which means that m∠DGE is x° + 25°

The sum of all angles in a placement like this will always equal 360°

So we put all the measures of all angles on one side of thee equation and set it equal to 360*

x° + x° - 10° + 2x° + 25° + 2x° + 3x° + 30° = 360°

After combining like terms we get 9x° + 45° = 360°

After some algebra we get x = 35°

Now at the start we said that m∠DGE is x + 25°

Plug in 35° for x and we get 35° + 25°

The final answer is m∠DGE = 95°

Edit: Sorry if my answer looks a bit confusing. This is actually my first answer on Brainly so I'm quite new to this experience.

The person above is correct, give brainliest

What is the measurement of the longest line segment in a right rectangular prism that is 11.2 centimeters long, 6.6 centimeters wide, and 6 centimeters tall?

Answers

Answer:

Step-by-step explanation:

3.1313109

Answer: the answer should equal 3.131

Step-by-step explanation: as this is the measurement of the longest line in right rectangular prism.

Please got brainliest

answer me please my brain is getting deep fried

Answers

It’s definitely the third one

Bottom left one, you solve it by subtracting it, the answer is 1.26, the hundredth is crossed out, you don’t count it, so 100 takes place of 1.00, .20 takes place for the tenths place, being 2 of them, and 6 is what’s left, hope this helps!!! Please give me Brainlist!

Tom and Katherine live in different towns which are linked by a bike trail. They agree to meet for a bike ride, and both set off from home at the same time. Tom rides north at a speed of 14 mph and Katherine rides south at 10 mph. The bike trail between their homes is 42 miles long. How long will it be before they meet?

Answers

Answer:

We can start by using the formula:

time = distance / speed

Let t be the time (in hours) for Tom and Katherine to meet.

Tom's distance = Tom's speed x time = 14t

Katherine's distance = Katherine's speed x time = 10t

Since they are riding towards each other, the total distance they cover is the sum of their distances:

Tom's distance + Katherine's distance = 42 miles

14t + 10t = 42

Simplifying:

24t = 42

t = 42 / 24

t = 1.75 hours

Therefore, Tom and Katherine will meet after 1.75 hours of riding.

They will meet in 1.75 hours

A scale drawing of an office space uses a scale of 1 inches.:4 ya.The scale drawing has an area of 12 square inches.What is the area of the actual office space?

Answers

Since one inch equals 4 yards, you multiply the 12 inches by 4. The answer would be 48 inches, or 16 yards.

48 Inches= 16 yards

A scuba diver is 15.5 feet below the surface of the water. If the diver continues to swim downward at a rate of 2.5 feet per second, what is her location, in feet, relative to the surface after 712 seconds? feet

Answers

The answers is: 33

33 is the integer that represents her location relative to the surface after 7 seconds.

And 33 feet far the diver have to go to return to the surface.

Step-by-step explanation:

Given:

A scuba diver is 15.5 feet below the surface of the water.

The diver continues to swim downward at a rate of 2.5 feet per second.

Now, to find the integer represents her location relative to the surface after 7 seconds.

And to find how far does the diver have to go to return to the surface.

So, to get the integer represents her location relative to the surface after 7 seconds.

Initial depth = 15.5 feet.

Distance traveled down = 7 × 2.5 = 17.5 feet.

Final depth of water surface = Initial depth + Distance traveled down.

Final depth of water surface = 15.5 feet + 17.5 feet.

Final depth of water surface = 33 feet.

Thus, 33 is the integer represents her location relative to the surface after 7 seconds.

Now, to get how far does the diver have to go to return to the surface:

As, the diver goes to 33 feet down to the surface.

Thus, the diver to return she have to go through the same distance.

So, to return to the surface she need to go to 33 feet far.

Therefore, 33 is the integer that represents her location relative to the surface after 7 seconds.

And 33 feet far the diver have to go to return to the surface.

33! hope this helped

Please help me answer.

Answers

Answer: First blank is 15 then 28 then 25 in the last blank.

Step-by-step explanation:

On the left side column it is going up by 5 and the right column is going up by 7.

For the first column it will go 5,10,15,20,25
And second column is 7,14,21,28,35

Can someone help me with my homework please ASAP? I only have a few hours left.
Please show work/explanation!
Any unecessary answers will be rep0rted!!

Answers

Answer:

Step-by-step explanation:

Find the area of the room by multiplying the length by the width which would be 12 x (12x2/3)

you would then divide the area of the room by the area of a tile which would be (3/2 x 3/2)

answer: C. 12(12 x 2/3) / ( 3/2 x 3/2)

Answer: Answer: C or 12 ( 12 x 2/3) / (3/2 x 3/2)

What is the percentage equivalent to 16 over 20?
PLS HELP ASAP

Answers

Answer: 80%

Step-by-step explanation: IM BAD AT MATH, I JUST LOOKED IT UP. PLEASE HELP ME I HAVE A QUESTION SAVED ON MY ACC. have a great day :D

Answer:

80%

Step-by-step explanation:

percent means per 100 you have to make the denominator 100 the numerator is the percentage

you have to find the decimal

inorder to find the decimal of a fraction you devide the denominator by the number

16 ÷ 20

16/20 is as a decimal is 0.8

after finding the decimal you multiply it by 100

0.8 × 100 = 80

I don't know how else to explain

7-9: Practice Buddy: Independent Practice; Problem Solving please help!

Answers

Answer:

4/3/8

Step-by-step explanation:

12/1/2-8/8/1

=25/2-65/8

=100-65/8

=35/8

=4/3/8

4/3/8 is the answer

Justify Step 1 in the following evaluation: Step 1: −2.79+((−3.91)−512)=(−2.79+(−3.91))−512 Step 2: =−6.7−5.5 Step 3: =−12.2

Answers

Is this linear functions ?

Is this correct? or should i change it

Answers

it is correct … good job

i need point so yeah lol

Simplify
5g (3g+782-9)

A. 50g4 - 45g
B. 15g2 +35g3 - 45g
C. 8g2 + 12g3-4g
D. 8g +7g²-9 E. 5g4

Simplify5g (3g+782-9)A. 50g4 - 45g B. 15g2 +35g3 - 45g C. 8g2 + 12g3-4g D. 8g +7g-9 E. 5g4

Answers

Answer:

B. 15g^2 + 35g^3 - 45g

Step-by-step explanation:

5g(3g + 7g^2 - 9)

5 x 3 = 15 g x g = g^2; 15g^2

5 x 7 = 35 g x g^2 = g^3; 35g^3

5g x -9 = -45g

the answer will be b

LOL I need help I am giving out brainiest only if you get the answer right

Answers

Answer:

The surface area of the moon is square km

The perimeter of a baseball field is meters

The area of a flat bed is square feet

The volume of a refrigerator would be cubic feet

The surface area of a tissue box is square inches

The length of a spaghetti is centimeters

The volume of a large lake is cubic km

Step-by-step explanation:

In my opinion. I think your teacher is asking for the most suitable answer for the object.

what is the distributive property to write the expression 7x +7 as a product

Answers

Answer:

7 ( x + 1 )

Step-by-step explanation:

What is distributive property?

Distributive property is when you take a factored expression and expand it, and vise versa.

Expression: a ( X ) or A ( X )

( Note that capital variables mean expressions )

Both 7x and 7 have the same common factor of 7.

So, we can factor 7 from both terms.

7x => 7 * x

7 => 7 * 1

Now we take this and turn it into 7 ( x + 1 ).

That's your final answer.

Which equation represents the relationship between the x-values and y-values in the graph?

Answers

F because i did this question and got that answer

The equation of line passes through the points (0, -5) and (5, -2) will be;

⇒ y = 3x/5 - 5

What is Equation of line?

The equation of line in point-slope form passing through the points

(x₁ , y₁) and (x₂, y₂) with slope m is defined as;

⇒ y - y₁ = m (x - x₁)

Where, m = (y₂ - y₁) / (x₂ - x₁)

Given that;

Two points on the line are (0, -5) and (5, -2).

Now,

Since, The equation of line passes through the points (0, -5) and (5, -2).

So, We need to find the slope of the line.

Hence, Slope of the line is,

m = (y₂ - y₁) / (x₂ - x₁)

m = (- 2 - (-5)) / (5 - 0)

m = 3 / 5

m = 3/5

Thus, The equation of line with slope 3/5 is,

⇒ y - (-5)= 3/5 (x - 0)

⇒ y + 5 = 3x/5

⇒ y = 3x/5 - 5

Thus, The equation of line passes through the points (0, -5) and (5, -2) will be;

⇒ y = 3x/5 - 5

Learn more about the equation of line visit:

https://brainly.com/question/18831322

#SPJ2

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