PLEASE HELP! Suppose the hypotenuse of a right triangle is 24 cm and one of the legs is 11 cm. Use the Pythagorean Theorem to find the measure of the triangle’s other leg. Round the measure to the nearest tenth if needed.

Answers

Answer 1

Answer:

The other leg is about 21.3 cm

Step-by-step explanation:

Pythagorean Theorem: a²+b²=c²

11²+b²=24²

121+b²=576

Subtract 121 from both sides

b²=455

b=[tex]\sqrt{455}[/tex]

b≈21.3

Answer 2

Answer:

21.3 cm

Step-by-step explanation:

We need to apply the Pythagorean Theorem.

The Pythagorean Theorem is an equation that can only be applied to right triangles. It states that for a right triangle with legs (two shorter sides) a and b and hypotenuse (longest side) c:

a² + b² = c²

Here, we know the hypotenuse is 24 cm and that one of the legs is 11 cm. We can hence say that c = 24 and a = 11 (or b = 11, but it doesn't really matter). Plug these values into the equation to find the other leg length:

a² + b² = c²

11² + b² = 24²

121 + b² = 576

b² = 576 - 121 = 455

b = √(455) ≈ 21.3 cm

Thus, the answer is 21.3 cm.

~ an aesthetics lover


Related Questions

What is the equation in slope-intercept form of the line?

Answers

Answer:

y= -8x

Step-by-step explanation:

theirs no b because it goes through (0,0)

to find slope you do 800-(-800) over -100-100

hope this helps:)

Which multiplication expression could the area model represent

A: 1.5x4.7
B: 1.5x47
C: 15x0.47
D: 15x4.7

Answers

Answer:

1.5 * 4.7

Step-by-step explanation:

The top adds to 4+.7 = 4.7

The side adds to 1+.5 = 1.5

When they multiply it is

1.5 * 4.7

Answer: A
1.5 x 4.7

Explanation
4 + 0.7 = 4.7
1 + 0.5 = 1.5

1.5 x 4.7
So, the answer is A.

convert the angle =100 degrees to radians

Answers

Answer:

1.75 rad

Step-by-step explanation:

° × π/180 = rad

100° × π=314.16

314.16/180=1.75 rad

Urvi solved a fraction division problem using the rule “multiply by the reciprocal.” Her work is shown below.

Answers

Answer:

Step-by-step explanation:

keep change flip

Three friend went out to eat pizza. Their pizza costs 15.63 and drinks cost 1.29 each. Salad costs 2.45. If they plan to share the cost of the pizza.How much will each person pay? Plz helppp

Answers

Answer:

Friend 1: $11.53 Frind 2: $5.21 Friend 3: $5.21

Step-by-step explanation:

15.63/3=5.21

One friend pays for the rest.

1.29*3=$3.87=drinks

salad=$2.45

5.21+3.87+2.45=11.53

Answer:
Each person will pay $5.21 when they split the cost of the pizza. Each person will pay $8.95 when for their individual order (a drink, a salad, & their cut of the pizza).


Explanation:
We will start by finding out how much each person will pay for the pizza ONLY. To do that we divide the cost of the pizza by the number of people intending to pay.

15.63 / 3 = 5.21

So, each person will pay $5.21 for the pizza.

Next, we are going to find the total cost of one person order. This time we will be adding how much they will be paying for the pizza with the costs of their drink and salad.

5.21 + 1.29 + 2.45 = 8.95

Therefore, each person will pay $8.95 for their order.

Zachary is solving the following equation.



Which is the best first step to begin to simplify the equation?
Multiply both sides of the equation by .
Divide both sides of the equation by .
Distribute over (x – 8).
Distribute over (x – 8).

Answers

Don't know if there was supposed to be another option but, it would be distribute over (x - 8).

Answer:

Distribute 3/4 over (x - 8)

Step-by-step explanation:

brainliest please and can yall please thank me and give five stars

Find the gradient of the line segment between the points (-2,3) and (2,4). Give your answer in its simplest form.

Answers

Answer:

slope = [tex]\frac{1}{4}[/tex]

Step-by-step explanation:

Calculate the slope m using the slope formula

m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]

with (x₁, y₁ ) = (- 2, 3) and (x₂, y₂ ) = (2, 4)

m = [tex]\frac{4-3}{2+2}[/tex] = [tex]\frac{1}{4}[/tex]

Which similarity postulate or theorem can be used to verified that the two triangles shown below are similar? PLEASE HELP ASAPP

Answers

Answer:

Correct option: A -> AA postulate

Step-by-step explanation:

In the figure we can see that in triangle ABC we have:

A = 53°

B = 72°

And we can see in the triangle LMN that:

L = 53°

M = 72°

We have two pairs of angles (A - L  and B - M) that are congruent, and therefore we can use the case AA (angle-angle) to affirm that these triangles are similar.

So the correct option is A: AA postulate.

the rocket ship will travel 2.1 x 10y. what is the value of y in the solution

Answers

Answer:

47

Step-by-step explanation:

PLZ PLZ HELP QUICK VERY QUICK PLZ PLZ
Find the area of the semicircle.
Either enter an exact answer in terms of
π
πpi or use
3.14
3.143, point, 14 for
π
πpi and enter your answer as a decimal.

Answers

Pi*5 squared= 78.5 (rounded to 1 decimal place)

78.5/2=38.25

I divide it by two becAuse it is a semi circle

Answer=38.25

Answer:

It is 39.25

Step-by-step explanation: Khan Academy

the distance between (3,k) and ( 5,6) is 2root2 units then k

Answers

Answer:

Step-by-step explanation:

[tex]\sqrt{x} Distance=\sqrt{(x_{2}-x_{1})^{2}+(y_{2}-y_{1})^{2}}\\\\\sqrt{(5-3)^{2}+(6-k)^{2}}=2\sqrt{2}\\\\\sqrt{(2)^{2}+[(6)^{2}-(2*6*k)+(k)^{2}]}=2\sqrt{2}\\\\\sqrt{4+[36-12k+k^{2}]}=2\sqrt{2}\\\\\sqrt{40-12k+k^{2}}=2\sqrt{2}\\[/tex]

Take square both side

[tex]40-12k+k^{2}=(2\sqrt{2})^{2}\\\\40-12k+k^{2}=4*2\\\\40-12k+k^{2}=8\\\\k^{2}-12k+40-8=0\\\\k^{2}-12k+32=0\\[/tex]

Factorize,

Sum = -12

Product = 32

Factors = -8 , -4

k² - 8k - 4k + (-8)*(-4) = 0

k(k - 8) - 4(k - 8) = 0

(k - 8)(k - 4) = 0

k = 8 or 4

The points are (3,k) and (5,6).

Given, distance = 2√2 units

Applying distance formula,

Distance = √(x2-x1)^2 + (y2-y1)^2

2√2 = √(x2-x1)^2 + (y2-y1)^2

Squaring both sides,

(2√2)^2 = [√(x2-x1)^2 + (y2-y1)^2]^2

8 = (x2-x1)^2 + (y2-y1)^2

8 = (5-3)^2 + (6-k)^2

8 = 2^2 + (6^2 - 2x6xk + k^2)

8 = 4 + 36 - 12k + k^2

8 = 40 - 12k + k^2

= k^2 - 12k + 32 = 0

On factorising,

=> k^2 - 4k - 8k + 32 = 0

=> k(k-4) -8(k-4) = 0

=> (k-4)(k-8) = 0

=> k-4 = 0 , k-8 = 0

=> k = 4 , k = 8

Match the Exponential functions to the Y intercept.

Answers

Answer:

f(x)= -10^x-1-10= (0,-101/100)

f(x)= -3^x-2-1= (0,-10/9)

f(x)= -3^x+5-9= (-252)

f(x)= -17^x-1+2 = (0,33/17)

Rob paid $50.15 for two pairs of jeans, which include a 15% discount. What was the price of one pair of jeans before the discount was added?

Answers

Answer:

$29.50

Step-by-step explanation:

The price that Rob paid includes a 15% discount.  This means that Rob paid 85% of the original price.

100% - 15% = 85%

Divide the price Rob paid by the percentage the price is of the total.

85% = 0.85

50.15/0.85 = 59

Now, divide the total price by 2 so that you can find the price of one pair of jeans.

59/2 = 29.50

The price of one pair of jeans is $29.50

what is equivalent to 5 x a
1. 5a
2. a^5
3. a x a x a x a x a
4. 5^a

Answers

1. 5a
The multiplication sign isn’t always used in algebra, you can put the two things being multiplied together
For example 8x or 2xy

Answer:

5a

Step-by-step explanation:

[tex]5\cdot \:a\\\\[/tex]

5 multiply a

5a

Please help! Correct answer only!
For a fundraiser, there is a raffle with 100 tickets. One ticket will win a $150 prize, and the rest will win nothing. If you have a ticket, what is the expected payoff?


$ ___

Answers

Answer:

Expected Payoff ⇒ $ 1.50 ; Type in 1.50

Step-by-step explanation:

Considering that 1 out of the 100 tickets will have a probability of winning a 150 dollar prize, take a proportionality into account;

[tex]100 - Number of Tickets,\\1 - Number of Tickets You Can Enter,\\\\1 / 100 - Probability of Winning,\\$ 150 - Money Won,\\\\Proportionality - 1 / 100 = x / 150, where x - " Expected Payoff "\\\\1 / 100 = x / 150,\\100 * x = 150,\\\\Conclusion ; x = 1.5 dollars[/tex]

Thus, Solution ; Expected Payoff ⇒ $ 1.50

Find the midpoint between the two points of the line in the image below.

Answers

Answer:

the answer is ( 2 , 1 ) I hope thus helps

Answer:

(2,1)

Step-by-step explanation:

Average the x values and the y values out

PLease answer as soon as possible

Answers

Answer:

No

Step-by-step explanation:

Every x value in the domain should only have 1 y value. In the graph, for x=5 (the input) there are 2 y values (6 and -6) so this is not a function.

Answer:

no

Step-by-step explanation:

it fails the vertical line test.  there is more than 1 y value per x value

Which of the following polygons can form a regular tessellation?

Answers

Answer:

option A.

Step-by-step explanation:

The regular polygons that can be used to form a regular tessellation are an equilateral triangle, a square, and a regular hexagon.

HOPE THIS HELPS.

Answer:

a

Step-by-step explanation:

Which expressions are equivalent to RootIndex 3 StartRoot 128 EndRoot Superscript x? Select three correct answers.


128 Superscript StartFraction x Over 3 EndFraction

128 Superscript StartFraction 3 Over x EndFraction

(4RootIndex 3 StartRoot 1 EndRoot)x

(4 (2 Superscript one-third Baseline) ) Superscript x

(2)x

Answers

Answer:

(A)[tex]128^{x/3}[/tex]

(D)[tex](4(2^{1/3}))^x[/tex]

Step-by-step explanation:

We want to determine which of the expression is equivalent to:

[tex]\sqrt[3]{128}^ x[/tex]

By the law of indices:

[tex]\sqrt[3]{128}=128^{1/3}\\$Therefore:\\\sqrt[3]{128}^ x \\=(128^{1/3})^x\\=128^{x/3}[/tex]

Similarly:

[tex]\sqrt[3]{128}^ x \\=\sqrt[3]{64*2}^ x\\=(4\sqrt[3]{2})^ x\\=(4(2^{1/3}))^x[/tex]

The expressions that are equivalent to (∛128)ˣ are; (128)^(x/3) and (4(2^(1/3))ˣ

How to use law of indices?

We want to find the expression that is equivalent to (∛128)ˣ

From law of indices, we have that;

(∛128)ˣ = [(128)^(1/3)]ˣ

This can be further expressed as;

(128)^(x/3)

Similarly, we have the simplified expression at;

[(128)^(1/3)]ˣ = (64 * 2)^(x/3)

⇒ (4³ * 2)^(x/3)

⇒ (4(2^(1/3))ˣ

Read more about law of indices at; https://brainly.com/question/11761858

#SPJ6

What figure can be made using the net shown?
Hube
a hexagonal prism
an octagonal prism
a hexagonal pyramid
an octagonal pyramid

Answers

Answer:

Correct option: First one -> Hexagonal prism

Step-by-step explanation:

In the figure we have two hexagons and six rectangles. If we fold each part correctly, we can use the two hexagons as horizontal bases of a prism, and the six rectangles would be the sides of the prism (each rectangle connected to one side of lower hexagon and one side of upper hexagon).

So the figure created would be a hexagonal prism.

Correct option: First one.

Answer:

First one

Step-by-step explanation:

Which expression is NOT equivalent to this
expression? 11y - 5
A 88y - 40
© 19y - 3
D 22y - 10
B 5y - 11

Answers

Answer:

A. 88y -40

Step-by-step explanation:

B is definitely equivalent to 11y-5 because it is reversed so it is the same if it is reversed. and D is equivalent too because 11 divided by 5 equals 2.2 same thing as 22 in this case. and C im not that sure about but i do not think that that is not equivalent...and A. is the answer is NOT equivalent because how the heck do u get 88y-40???????? the answer that is not equivalent is A. 88y-40

Hope this explained well :)

What is the perimeter of the triangle?

Answers

Count the boxes and add the sides and the bottom and that’s the perimeter

Answer:

36 units

Step-by-step explanation:

The short leg is 9 units and the long one is 12 units.

Use pythagorean theorem to find the hypotenuse, a² + b² = c²

Plug in the numbers: 9² + 12² = c²

81 + 144 = c²

225 = c²

√225 = c

15 = c

Find perimeter by adding all 3 sides: 9 + 12 + 15 = 36 units.

The sides of a quadrilateral whose sides are 85cm 143cm 165cm and 85cm and one of the diagonals is 154cm

Answers

Answer:85cm is kept comstant for a while

Step-by-step explanation:

For 2nd part

1m 80 cm

=1×100cm+ 80 cm

=100cm+ 80 cm

=180cm

So

#According to question,

If both are added then,

=85cm+180 cm

=265cm

please brainlest

Step-by-step explanation:

Please answer correctly !!!!! Will mark brainliest answer !!!!!!!!!!

Answers

Answer:

same

Step-by-step explanation:

The maximum of f(x) is 8 because it's written in vertex notation. From the graph, g(x)'s maximum is 8 so the answer is that they have the same maximum.

part 1. Find the missing sides for the 30-60-90 Triangles. Please show work​

Answers

1. cos(30) = a/16

a = 16 x cos(30)

a = 8√3

sin(30) = c/16

c = 16 x sin(30)

c = 8

2. cos(30) = d/28

d = 28 x cos(30)

d = 14√3

sin(30) = f/28

f = 28 x sin(30)

f = 14

3. sin(30) = x/62

x = 62 x sin(30)

x = 31

cos(30) = y/62

y = 62 x cos(30)

y = 31√3

Answer:

  1. (a, c) = (8, 8√3)

  2. (d, f) = (14, 14√3)

  3. (x, y) = (31, 31√3)

Step-by-step explanation:

Side lengths in a 30°-60°-90° triangle have the ratios 1 : √3 : 2. You can multiply these ratio values by an appropriate constant to make them match the lengths in your triangle.

__

1. a : c : 16 = 1 : √3 : 2

Multiply by 16/2 = 8:

  = 8 : 8√3 : 16

  a = 8, c = 8√3

__

2. d : f : 28 = 1 : √3 : 2

Multiply by 28/2 = 14:

  = 14 : 14√3 : 28

  d = 14, f = 14√3

__

3. x : y : 62 = 1 : √3 : 2

Multiply by 62/2 = 31:

  = 31 : 31√3 : 62

  x = 31, y = 31√3

According to the Rational Root Theorem, which is a factor of the polynomial f(x) = 3x3 – 5x2 – 12x + 20?

Answers

Answer:

Step-by-step explanation:

You didn't give your options, but it doesn't matter. We'll find all the possibilities and then you can pick it from your list.

When I teach this in Algebra 2, I call it the "the c over d thing" and all my students know EXACTLY to what I am referring. "c" is the constant and "d" is the leading coefficient. The combination of c/d give you the possibilities of roots for the polynomial. There are no real roots that a polynomial can have other than the possibilities we find when we do the c/d thing.

Our c is a 20.  All the factors of 20 are as follows (notice that we have both the positive and negative factors):

20: ±1, ±2, ±4, ±5, ±10, ±20

Our d is a 3.  All the factors of 3 are as follows (again, both the + and the -):

3: ±1, ±3 and that's it for 3.

c/d is as follows. Make sure you put ever c over every d!!!:

c/d: ±[tex]\frac{1}{1}[/tex], ±[tex]\frac{2}{1}[/tex], ±[tex]\frac{4}{1}[/tex], ±[tex]\frac{5}{1}[/tex], ±[tex]\frac{10}{1}[/tex], ±[tex]\frac{20}{1}[/tex], ±[tex]\frac{1}{3}[/tex], ±[tex]\frac{2}{3}[/tex], ±[tex]\frac{4}{3}[/tex], ±[tex]\frac{5}{3}[/tex], ±[tex]\frac{10}{3}[/tex], ±[tex]\frac{20}{3}[/tex]

Those are all the possibilities for your roots for that polynomial. As long as the roots are real (and they won't always all be real!), there are no roots but these.

Answer:

its D on edge

Step-by-step explanation:

Angle sum theorem
25°
30°

Answers

Answer:

x = 125°

y = 180-125 = 55°

Step-by-step explanation:

The angles should sum to 180 in a triangle.

Since the other two are 25 and 30, for the third one, 180-25-30 = 125 is left, which is x.

Now y and x are supplementary angles, which means that x+y is also 180°.

So y = 180-x = 55°

Answer:

y = 55°

Step-by-step explanation:

The external angle of a triangle is equal to the sum of the 2 opposite interior angles.

y is an exterior angle of the triangle, thus

y = 25° + 30° = 55°

A wooden plank is cut into three pieces. The ratio of the length of the pieces of wood is 6:10:12. If the length of the original wooden plank is 812 centimetres, what is the length of the longer piece of wood?

Answers

Answer:

290 centimetres

Step-by-step explanation:

The ratio of the length of the pieces of wood is 6 : 10 : 12.

We have to find the total ratio first:

6 + 10 + 12 = 28

The longer piece of wood has ratio 10.

The length of the original wooden plank is 812 centimetres, therefore, the length of the longer piece of wood is:

10/28 * 812 = 290 centimetres

The height of a baseball, in feet, is represented by this expression, where t is time in seconds. The height of the baseball after 3.5 seconds is feet.

Answers

Answer:

The height of a baseball, in feet, is represented by this expression, where t is time in seconds.

-16t2+64t+3

The height of the baseball after 3.5 seconds is ___ feet.

Step-by-step explanation:

Consider the provided expression.

The height of a baseball, in feet, is represented by this expression, where t is time in seconds.

[tex]h=-16t^2+64t+3[/tex]

To find the height of the baseball  after 3.5 seconds, substitute the value of t = 3.5 in above expression

[tex]h=-16(3.5)^2+64(3.5)+3h\\\\=-16(12.25)+224+3h\\\\=-196+227h=31[/tex]

Hence, the height of the baseball after 3.5 seconds is 31 feet.

Answer:

31feet

Step-by-step explanation:

The question is incomplete. Here is the complete question.

The height of a baseball, in feet, is represented by this expression -16t²+64t+3, where t is time in seconds. The height of the baseball after 3.5 seconds is___ feet.

Given the height of the baseball modeled by the equation

h(t)  = -16t²+64t+3

To get the height of the baseball after 3,5secs, we will substitute t = 3.5s into the equation of the height as shown;

[tex]h(3.5) = -16(3.5)^{2} +64(3.5)+3\\h(3.5) = -16(12.25)+224+3\\ h(3.5) = -196+224+3\\ h(3.5) = -193+224\\ h(3.5) = 31feet[/tex]

The height of the baseball after 3.5 seconds is 31feet.

Please answer my question if you answer it I will surely mark you as the brainliest and if you answer it you will get 30 points and if you answer it I will rate you

Answers

Answer:

Step-by-step explanation:

[tex]1) \frac{tan A + Sin A}{tan A - Sin A}=\frac{\frac{sin A}{cos A}+sinA}{\frac{sinA}{cos A}-sin A}\\\\=\frac{\frac{sin A + Sin A CosA}{Cos A}}{\frac{sinA-sinAcosA}{cosA}}\\\\=\frac{sin A + Sin A CosA}{Cos A}*\frac{cosA}{sinA-sinAcosA}\\\\=\frac{sinA+sinAcosA}{sinA-sinAcosA}\\\\=\frac{sinA(1+cosA)}{SinA(1-cosA)}\\\\\frac{1+cosA}{1-cosA}\\\\=\frac{1+\frac{1}{secA}}{1-\frac{1}{secA}}\\\\=\frac{\frac{secA+1}{secA}}{\frac{secA-1}{secA}}\\\\=\frac{secA+1}{secA-1}[/tex]

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