Consider The Right Triangle With Hypotenuse 5, Horizontal Leg X , Vertical Leg Y , And Angle Opposite (2024)

Mathematics College

Answers

Answer 1

9514 1404 393

Answer:

x = √(25 -y²)x = 5cos(Ф)

Step-by-step explanation:

The Pythagorean theorem relates the sides of a right triangle.

x² + y² = 5²

x² = 25 -y²

x = √(25 -y²)

__

The cosine function relates the adjacent side and the hypotenuse of an acute angle in a right triangle.

Cos = Adjacent/Hypotenuse

Adjacent = Hypotenuse × Cos

x = 5·cos(Ф)

Related Questions

y=-9x^2+571x-3884 find x

Answers

Answer:

I'm pretty sure it's either 3.1 or 4.1

Step-by-step explanation:

Answer:

x = (571 ± √186217) / 18

x ≈ 7.74840677368558702303.. or 55.69603767075885742140..

x ≈ 7.75 or 55.70

Step-by-step explanation:

y = -9x² + 571x – 3884.

x = (-b ± √b² – 4ac) / 2a

x =

(-(571) ± √((571)² – 4((-9) × (-3884))) / 2(-9)) →

(-571 ± √(326041 – 4(34956))) / -18) →

(-571 ± √(326041 – 139824)) / -18) →

(-571 ± √(186217)) / -18 →

(571 ± √186217) / 18 →

Given g(x) = -x + 5, solve for x when g(x) = 0

Answers

the answer is five i think

Answer:

x = 5

Step-by-step explanation:

Given g(x) = - x + 5 and g(x) = 0 , then equate the right sides

- x + 5 = 0 ( subtract 5 from both sides )

- x = - 5 ( multiply both sides by - 1 )

x = 5

help with this question!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!

Answers

Answer: 30 feet

==========================================================

It might help to draw a triangle to represent what's going on. See the diagram below.

Let's call the triangle ABC. We'll place point A at the 90 degree angle, so it's at the base of the tower. Place point B where the knight is located. Point C is the location of the window in the tower.

The knight is 15 feet away from the base, meaning AB = 15. With respect to the reference angle (B = 60), side AB = 15 is the adjacent side. The length of the ladder BC is the unknown hypotenuse. We'll call this x for now.

We'll use the cosine rule to connect the adjacent and hypotenuse.

cos(angle) = adjacent/hypotenuse

cos(B) = AB/BC

cos(60) = 15/x

x*cos(60) = 15

x = 15/cos(60)

x = 30

Your calculator needs to be in degree mode.

Because x = 30, we conclude that the ladder needs to be BC = 30 feet long.

Side note: For any special 30-60-90 right triangle, the hypotenuse is always twice as long compared to the shorter leg.

10x-3y+2y
Write the expression with fewer terms.

Answers

Answer:

10x-1y

hope this helps

have a good day :)

Step-by-step explanation:

A coffeemaker can brew at a rate of 1 cup every 0 8 minute. At this rate, how long would it take to brew 6 cups?​

Answers

Answer:

48 minutes

Step-by-step explanation:

Multiply

Need help asap thanks

Answers

Answer:

A

Step-by-step explanation:

for a right angled triangle, the sum of the square of the two sides should be equal to the square of the hypotenuse. If this rule does not hold, the dimensions do not represent the side of a right angled triangle.

The Pythagoras theorem : a² + b² = c²

where a = length

b = base

c = hypotenuse

4² + 10² ≠ 16²

6² + 12² = 13²

7² + 24² = 25²

8² + 15² = 17²

Help me pls greatly appreciated

Answers

Answer: 43/75 chance

Step-by-step explanation:

total number of coins:

15 + 28 + 12 + 20 = 75

total number of coins that arent quarters or dimes:

15 + 28 = 43

so the probability would be 43/75, which is not simplifiable

PLSSSSS ASAP HELP!!!!
A window had a length of 10 feet and a width of 6 feet. What is the perimeter of the window?

A)Nono of these answers
B) 60 feet
C) 32 feet
D) 16 feet
E)136 feet

Answers

The answer is C)32 feet
A window is a square or rectangle with four sides
The length is 10 and width is 6 meaning two sides are 10 and two sides are 6
Add 10 plus 10 plus 6 plus 6

c because 10+10+6+6=32, (DONT multiply that will get you the area, you need the perimeter which means width+width+length+length

Angles of Triangles Scavenger Hunt Answer Key

Answers

I think every one appreciates it , lol but thank you kiddo

Please help faster please

Answers

Answer
The correct Is $3.20

I think it’s $3.20 if not I’m so sorry not the best at this stuff

A bag contains 7 red marbles, 8 blue marbles and 4 green marbles. If three marbles
are drawn out of the bag, what is the probability, to the nearest 100oth, that all three
marbles drawn will be blue?

Answers

Answer:

Step-by-step explanation:

A bag contains 8 red marbles, 3 blue marbles and 7 green marbles.

Total = 18 marbles.

Probability of drawing three red marbles = probability of drawing one red without replacement + probab of drawing another without reeplacement + probab of drawing a third without replacement.

Probability of drawing three red marbles = 8/18 + 7/17 + 6/16 = 0.4444 + 0.4118 + 0.3750 = 1.2312.

THIS IS WORTH 40 POINTS

Answers

Answer:

[tex]x=60^o[/tex]

[tex]y=50^o[/tex]

Step-by-step explanation:

ΔACD

[tex]50+70+x=180[/tex]

[tex]120+x=180[/tex]

[tex]x=180-120[/tex]

[tex]x=60[/tex]

ΔABC

[tex]60+50+ACB=180[/tex]

110+ ∠ACB=180

∠ACB=180-110

= 70°

Now...

x+y+∠ACB=180°

[tex]60+y+70=180[/tex]

[tex]y+130=180[/tex]

[tex]y=180-130[/tex]

[tex]=50^o[/tex]

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

hope it helps...

have a great day!!

Answer:

x = 60, y = 110

Step-by-step explanation:

the interior angles of a triangle will always add up to 180.

take the angles we already have and add them, once you get your answer you have to subtract that by 180 to find the missing angle.

70 + 50 = 120

180 - 120 = 60

———————-

the line at the bottom is called a straight angle, and it’s measure is 180

the exterior angle is equal to the sum of the two opposite interior angles (50 and 60)

y = a + b

y = 50 + 60

110 = 50 + 60

hope this helped!

Evaluate the expression (2x + 5)2 -3x at the value x = -1

Answers

Answer:

2

Step-by-step explanation:

Can someone Please help me

Answers

Answer:

Simple use tangent, which is equal to opposite divided by adjacent, so tan34=x/16, so multiply both sides by 16 to get x=10.79213627

Step-by-step explanation:

I would like to thank the people that help out in the math area, I’ve fully passed my math classes that I needed to graduate because of the community on here, specifically the math section....and I’ll be giving out my points :)

Answers

Answer:

Awe

Step-by-step explanation:

Good luck and great hopes for your future ^^

Answer:

May you successed with top highest marks may you gain achivements!!!! Through out your life may, you be blessed and your parents must be proud of you .............Alot of thanks to brainly and good luck for your future......

20 POINT!!
Can someone please help me I don’t understand it

Answers

Answer:

C

Step-by-step explanation:

x<-2 is an open circle the point to the left. Pointing to the left is less than and an open circle represents the fact that -2 itself does not count.

x≥2 is a closed circle where the arrow points to the right. The closed circle represents the fact that 2 does count. It goes right so it is greater than.

Tanya walks dogs. She earns $10.50 for each dog she walks. She wants to go to a
concert that costs $157.50. Write an equation relating the number of dogs she needs
to walk to the amount of money she earns. Find how many dogs Tanya needs to walk
to go to the concert. Let n be the number of dogs Tanya walks.

HELPPPPPP!!!!

Answers

Answer:

Tanya must walk 15 dogs

Step-by-step explanation:

10.50x=157.50

x=157.50/10.50

x=15

In PQR, the measure of R=90degrees, QP=53, RQ=45 and PR=28. What ratio represents the sine of P?

Answers

Step-by-step explanation:

sin(p) = opposite / hypontenuse = 45 / 53

Can anyone figure this out? I’ll give Brainly :)) thank you!

Answers

Answer:

hey:)

12:15-8:15=4hr

17:30-13:00=4:30hr

4+4:30=8:30hr

$11/hr therefore:

8:30×11= 8.5×11=93.5

and now round it to the nearest hundredth:) I hope this was helpful

Suppose there is a strong positive correlation between m and n. Which of the
following must be true?
O A. An increase in m causes n to increase.
B. When m increases, n tends to decrease.
C. When m increases, n tends to increase.
D. An increase in m causes n to decrease.

Answers

B jshdhdhdhdjdkdjdkjdjdj

B trust ke trust me trust me

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A store has a 40% off sale on headphones. With this discount, the price of one pair of headphones is $36.
What is the original price of the pair of headphones?
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Answers

Answer:

90

Step-by-step explanation:

A 4-foot-long sandwich is cut into servings that are each foot long. How many servings will there be after the sandwich is cut? 1) 12 1) 3 1 12 15)​

Answers

Answer: 12

Step-by-step explanation:

Answer:

total size of sandwich= L = 4ft

one serving = 1/3 of sandwich

So,

total no. of servings= 4/0.333 =12

Step-by-step explanation:


Help help help !!!!!!!!!!!!!!!

Answers

Answer:

1

Step-by-step explanation:

So,6 to the power of 0 is 0.So the leftover is just one.

The answer it’s 1 !!!!!!!!!!!!!

help please!
using quadratic formula
round ti nearest hundred ​

Answers

Answer:

x = 0.19 or x = -0.76

Step-by-step explanation:

Equation: 7²-4x = 2

reordering the equation,

7x²-4x-2 = 0

Applying,

x = [-b±√(b²-4ac)]/2a..................... Equation 1

From the question,

Given: a = 7, b = -4, c = -2

Substitute these values into equation 1

x = [-4±√(-4²-(2×7×-2)]/(2×7)

x = [-4±√(16+28)]/14

x = (-4±√44)/14

Either

x = (-4+√44)/14

x = (-4+6.63)/14

x = 2.63/14

x = 0.19

or

x = (-4-√44)/14

x = (-4-6.63)/14

x = -10.63/14

x = -0.76

PLEASE ANSWER THIS ASAP IM ALWAYS SO GRATEFULL!!

Answers

Answer:

P(6) is 1/12, P(Shaded) is 8/12, P(Odd or Unshaded) is 10/12, and P(Even and Shaded) is 11/12

Step-by-step explanation:

A 4 pint carton of chocolate milk is $2.12.What is the price per quart?

Answers

Answer: 0.35

Step-by-step explanation:

Find the distance between the points (-4,-1) and (0,-2).
Round to 2 decimal places.
Distance=

Answers

Answer:

-4,-1

Step-by-step explanation:

So how I did it is, I made a mintale picture of it in my head. Then, I "counted" how much space I had to go for the next point. And that's how I got the answer of -4,-1.

1
Write an equation for the linear
relationship shown below.
4
1
6
7
8
13
10
19

Answers

Answer:

[tex]\bold{y=3x-11}[/tex]

Step-by-step explanation:

Begin with the equation [tex]y=mx+b[/tex]. Let's first find [tex]m[/tex].

For each time [tex]x[/tex] increases by 2 (the rows skip by 2), [tex]y[/tex] increases by 6. Since the relationship is linear, if [tex]x[/tex] were to increase by just 1 (half of 2), [tex]y[/tex] would increase by 3 (since we halve each component). Therefore, [tex]m=3[/tex].

To find [tex]b[/tex] (the y-intercept), we plug in the first value of [tex]x[/tex] we are given and notice the result. In this case, [tex]4 *3=12[/tex]. However, the first value of [tex]y[/tex] is 1, so we must subtract 11 so that the first term is 1. Hence, [tex]y=3x+11[/tex].

1
A train trip took 4 hours. For the trip, the train traveled at 60 kilometers per hour. For the
2
rest of the trip, the train traveled at 100 kilometers per hour. How far did the train travel
in all?

Answers

Answer:

320 kilometers

Step-by-step explanation:

1/2 -- (60 * 2) = 120 km

rest pf the trip -- 100 km per hour -- 2 hours left -- (100 * 2) = 200 km

Therefore, 120 + 200 = 320 km

Thenks and mark me brainliest :)

Plsss help. giving extra points if correct.

Answers

Answer:

98?

Step-by-step explanation:

Consider The Right Triangle With Hypotenuse 5, Horizontal Leg X , Vertical Leg Y , And Angle Opposite (2024)

FAQs

What are the legs of a triangle if the hypotenuse is 5? ›

If a question says "the hypotenuse is 5 " there's a pretty good chance the legs will be 3 and 4 because everybody's favorite Pythagorean Triple is 32+42=52.

What is the length of the hypotenuse of a right triangle if the legs are 5 feet and 12 feet respectively? ›

What is the length of the hypotenuse of a right triangle whose legs have lengths of 5 and 12? Solution: From the pythagorean theorem, the sum of the squares of the legs is equal to the square of the hypotenuse. Therefore, the length of the hypotenuse is 13.

What is the length of a hypotenuse of a right triangle with legs that measure 5 and 7? ›

Pythagoras theorem states that in a right angled triangle, the sum of the squares of the perpendicular and base is equal to the square of the hypotenuse. It can be written as h² = p² + b². Hence, the length of the hypotenuse is given as 8.6 units.

What is the length of the hypotenuse if the legs of a right triangle are 5 cm and 12 cm? ›

Using Pythagoras theorem, we have: Hence, the length of the hypotenuse is 13 cm.

What is the hypotenuse of a right angle triangle whose base is 5 cm and height is 12 cm? ›

Using Pythagoras theorem, a2 + b2 = c2so, 52 + 122 = c225 + 144 = c2169 = c2c = sqrt (169)c = 13So the hypotenuse is 13 cm.

How do you find the short leg when given the hypotenuse? ›

Divide the hypotenuse by 2 to find the short side. Multiply this answer by the square root of 3 to find the long leg.

What is the length of the hypotenuse 5 and 4? ›

It is given that the legs of a right triangle have lengths of 4 and 5 units. Therefore, the length of the hypotenuse is 6.4 units.

What is the length of the hypotenuse when the shorter leg is 5 in a 30 60 90 triangle? ›

If the shortest side is 5 cm, the longer side is square root of 3 times 5 cm. and the hypotenuse is 5x2 = 10 cm.

What is the hypotenuse of 5 and 12? ›

If the non-hypotenuse sides of a right angled triangle have lengths of 5 and 12 units, (the hypotenuse length)^2 = 25 + 144 = 169 = 13^2, so the length of the hypotenuse is 13 units.

What are the two shortest sides of a right triangle called? ›

The longest side of the right triangle (the side opposite the 90o angle) is called the hypotenuse and the other two (shorter) sides are called the legs of the triangle.

What is the length of the hypotenuse? ›

To find the hypotenuse, add the squares of the other sides, then take the square root. To find a shorter side, subtract the squares of the other sides, then take the square root.

What are the legs if the hypotenuse is 10? ›

What is the leg in an isosceles triangle with hypotenuse 10? Each leg has length 10/√2 ≈ 7.07. To arrive at this answer, we apply the Pythagorean theorem: Recall the formula a² + b² = c² , where a , and b are the legs and c is the hypotenuse.

What are the legs if the hypotenuse is 13? ›

The special right triangle that has a hypotenuse of 13 units is the right triangle that has legs of length 5 units and 12 units. When a right triangle has side lengths that are integers, the integers make up a Pythagorean triple, so these types of right triangles are considered special in the study of geometry.

Is 3 and 4 are the legs of a right triangle the hypotenuse is? ›

Explanation: Given that a rectangle has all right angles, drawing a diagonal will create a right triangle the legs are each 6 feet and 8 feet. We know that in a 3-4-5 right triangle, when the legs are 3 feet and 4 feet, the hypotenuse will be 5 feet.

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