The hypotenuse of a 45°-45°-90° triangle measures 24 inches. What is the length of the one leg of the triangle?

12 in.
12 StartRoot 2 EndRoot in.
24 in.
24 StartRoot 2 EndRoot in.

Answers

Answer 1

The length of the one of the leg of the triangle is 12√2 in. Thus, option B is correct.

What is a hypotenuse?

The longest side of a right triangle in geometry is called the hypotenuse. Moreover, it is the side that faces the right angle. The definition of hypotenuse is "length under" or "stretch under." Plato was said to have used it for the first time around 400 BC.

In many applications of geometry and trigonometry, the hypotenuse plays a significant role. The Pythagorean Theorem is the most widely known. Using the Pythagorean Theorem, a2 + b2 = c2, one can determine the length of the hypotenuse.

The Right angles triangle is also a isosceles angled triangle which means two of the angles are equal.

When two angles are equal the corresponding sides are equal too.

a = b

Given that the measure of the triangles' hypotenuse is 24 inches

c² = a² + b²

24² = a² + b²

576 = a² + b²

But the sides are equal i.e.

a = b

Giving us

576 = a² + a²

576 = 2a²

a² = 576/2

a² = 288

a = √288

a = 12√2

Thus, the length of the one of the leg of the triangle is 12√2 in. Thus, option B is correct.

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Answer 2

Answer:

Step-by-step explanation:

b e2020


Related Questions

Michael needs to save a 15 percent down payment for a car he wants to buy. He knows that cars of this make and model tend to sell for about $19,000. How much will he need to save?

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Answer:

15 minutes or less can save you 15% or more on car insurance

Step-by-step explanation:

Gieko

A coffee table is on sale for 20% off the original price of $115. If there is a 6% sales tax, what is the final price of the coffee table?

Answers

Answer:

$97.52

Step-by-step explanation:

(original price) 115 - (discount) 23 = 92 (new price)

92 plus 6% sales tax = $97.52 (final price)

Is the area of a room measured in cm2 or m2

Answers

Answer:

m² would be the best unit if you want to measure a room.

Step-by-step explanation:

The unit cm² is too small and would be less exact.

If bananas are $0.50 each, how much would it cost for 7 bananas?

Answers

Answer:

Step-by-step explanation:

total cost = unit cost times number purchased:

total cost = ($0.50/banana)(7 bananas) = $3.50 for 7 bananas

Answer: $3.50

Step-by-step explanation:

2x + y = 2
x - y = 1

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Answer:

mariana bedoya sanchez

The komodo dragon are the biggest and heaviest lizards on earth. Full grown adults can reach 2.8 meters long and weigh more than 300 pounds! What is the length of the komodo dragon in centimeters? A) 28 cm B) 280 cm C) 2800 D) 28000

Answers

Answer:

280 cm

Step-by-step Explanation

The Komodo dragon 2.8 meters long and weigh more than 300 pounds, the length of the Komodo dragon in centimeters is, 280. So Option B is correct

What are Units ?

To measure and compare various things we use one term which is known as a unit. When all of the measuring units are the same, comparison is simple. Depending on their intended usage, different units can be categorized.

For example, for  length measurement we use units like:- meter, centimeter, inch, miles.

Given that,

The Komodo dragon are the biggest and heaviest lizards on earth

Full grown adults can reach 2.8 meters long and weigh more than 300 pounds

The length of the Komodo dragon in centimeters = ?

Assume, Komodo is fully grown

So, the length of the Komodo = 2.8 meter

It is known that,

1 meter = 100 centimeter

Now,

2,8 meter = 2.8 × 100 centimeter

                =  280 centimeter

Therefore, the length in centimeter is 280

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HELPP I NEED THIS BY 2:30

The second angle of a triangle is 7 more than twice the first angle. The third angle is 3 less than the first. Find all
three angles if the sum of their angles is equal to 180°. (Let x = the measure of the first angle)

Answers

Answer:

44, 95, and 41

Step-by-step explanation:

[tex](x) + (2x +7)+(x-3)=180\\4x +4 = 180\\4x = 176\\x = 44[/tex]

9. Sarah has to create a floral arrangement out of twigs and flowers that has a total of 9 objects. She has to
pay $1 for each twig she uses and $3 for each flower. If she spent $15 on the arrangement, how many
twigs and flowers did she buy?

Answers

Answer:

tu debes de saber por qué si yo lo sé tú también no es verdad

-Let g(x) be a function defined by g(x) = x3.
a) Sketch the graph of g(x).
b) Find the inverse g-1(x) of g(x) then sketch the graph of g-1(x). c) Specify the domain and range of g(x) and g-1(x).
d) Determine the end behavior of g(x) and g-1(x).

Answers

Answer:

Step-by-step explanation:

a) The graph rises steeply from the third quadrant  and there is a point of inflection through  the origin (0, 0) then rises steeply in quadrant 1.

b) Let y = g(x) = x^3

x = ∛y

So g(-1)x = ∛x.

The graph is the reflection of g(x) in y = x.

c) Domain of g(x) = All real x, Range is all real g(x).

Domain of  g(-1)x  = All real x, Range = all real g-1(x).

d) You will see the end behaviour from the graphs.

I tried to send you a link to the graphs but the system wont allow it.

Which of the following graphs is the solution set of 2x+7>3?
PLS HELP WILL MARK BRAINLIEST

Answers

Answer:

B or the second line

Step-by-step explanation:

1/2x +7 > 3

-7. -7

1/2x > -4

you time 2 on both sides

x > -8

Evaluate (8+2)³-6?
Please help

Answers

Answer:

994 :)

Step-by-step explanation:

PEMDAS

(8+2)^3 - 6

(10)^3   = 10 x 10 x 10

1,000    - 6

994

Write the formula for slope, for the point-slope
form of a line, and for the slope-intercept form of a
line.

Answers

Slope: M = rise/run = y2 - y1/x2 - x1

Point slope: y-y₁=m(x-x₁)

Slope-intercept: y = mx+b

1. A bank account started with $1000 and earned $10 interest per month
for two years. The bank then paid 2% interest on the account for the
next two years.

Answers

Answer:

What exactly is the question here ?? (lol)

If y varies directly as x and y =6 when x =2 ... find y when x=9

Answers

Answer:

27

Step-by-step explanation:

y = kx, where k is the constant of proportionality.  If x = 2 and y = 6, that constant is determined as follows:

6 = k(2), or k = 3.  Then y = 3x.  When x = 9, y = 27

2,5 1,3. 9,20. 13,30. ​

Answers

Answer:

13/10  < 25/10  < 92/10  < 133/10

Step-by-step explanation:

13/10 is less than 5/2 is less than 46/5 is less than 133/10

Which of the following is equal to this expression? (256⋅64)^1/4

Answers

Answer:8•4 √4

Step-by-step explanation:

Select the correct option from the menu.
Raj determined that the equation 3 (x+3) = 8 - 5x +7 is equivalent to 9 = 7. This means that this equation has:
no solutions

One solution

Two solutions

Infinity many solutions

Answers

Answer:

no solutions

Step-by-step explanation:

Find the circumference of the circle.
4 mi
Find The circumference
(Type an exact answer in terms of pie)

Answers

Answer:

Circumference of a circle-

2 x Pi x Radius

2x Pi x 4

8Pi

ANSWER-8Pi

Hope it Helps!!

how do i answer this question?

Answers

Answer:

Your answer

X = 3

Y = -3

Mark it as Brainlist answer. Follow me for more ​

Step-by-step explanation:

Will make 1st answer brainleist

Answers

Answer:

3.1

Step-by-step explanation:

Answer:

3.1

Step-by-step explanation:

4.7(5) - 6.8(3) =

23.5 - 20.4 =

3.1

Carla draws two rectangles.
One of the rectangles has an area of 35 square inches.
The other has a perimeter of 20 inches
Select the two rectangles that could be the rectangles Carla draws
A rectangle with a width of 2 inches and a length of 6 inches
A rectangle with a width of 2 inches and a length of 8 inches
A rectangle with a width of 4 inches and a length of 6 inches
A rectangle with a width of 5 inches and a length of 7 inches
A rectangle with a width of 6 inches and a length of 10 inches

Answers

Answer:

A rectangle with a width of 5 inches and a length of 7 inches.

A rectangle with a width of 4 inches and a length of 6 inches

Step-by-step explanation:

The sum of three numbers is 123. The second number is 8 more than the first. The third number is 3 times the first. What are the numbers ?

First number:

Second number:

Third number:

Answers

Answer:

41 is my geuss

Step-by-step explanation:

Help me answer question 2 ​

Answers

Answer:

x + x + x

Step-by-step explanation:

We have 3y and are asked to express it equivalently with the answers provided.

I will go over the flaws of each answer and single it down to the correct one.

x * x * x would equal x^3, since this is being multiplied.

x^3 is equal to x * x * x, therefore it is not correct.

x + 3 is not correct because you cannot add numbers or variables that are not like terms, so it would not equal to 3y.

x + x + x would equal to 3y because they are all like terms and do not form exponents.

answer this for me pls

Answers

Answer:

Slope = 2

Step-by-step explanation:

Find the slope by using the slope equation:

[tex]\frac{y^2 - y^1}{x^2 - x^1}[/tex]

Plug in the numbers to the slope equation:

[tex]\frac{8 - (-8)}{2 - (-6)}[/tex]

Which is equal to:

[tex]\frac{16}{8}[/tex]

Which is simplified to:

2.

find the sum of 3/4 and 5/7.​

Answers

Answer:

3/4 or in mixed number 1 13/28

Step-by-step explanation:

If the markup rate is 50%, then the cost of a shirt that regularly sells for $60 is $40. true or false?​

Answers

Answer:

false

Step-by-step explanation:

half of 60 dollars is 30

think of it as half of 6

The local ranger station tracked and tagged 2,844 adult female black bears in a national park. A random sample of 9 adult female black bears from those tagged had an average body weight of 203 pounds with standard deviation 25 pounds. Which of the following is a point estimate for the population mean weight of all female black bears that are tagged?

a. 9
b. 25/√9
c. 25
d. 203
e. 2,844

Answers

Answer:

203

Step-by-step explanation:

Sample size, n = 9

Mean weight, m = 203

Standard deviation = 25

Point estimate for the population mean weight of all black bears that are tagged `

The point estimate of the population mean ;

ΣX / n

Sum of sample / sample size ;

This is the mean value formula for the sample.

However, since it has been given in the question that, sample mean weight value = 203 ; then the point estimate of the population mean weight = 203

Option d: 203 is a point estimate for the population mean weight of all female black bears that are tagged.

Given that:Total tagged adult female black bears in the national park = 2,844Sample size = 9Sample mean of body weight of female black bears = 203 pounds.To find:

Point estimate of population mean weight of female black bears that are tagged.

Calculations and explanations:

Point estimation of population mean is calculated by calculating the mean of the sample drawn from that population. This estimate is considered best guess of population mean.

The sample mean is obtained by:

[tex]\overline{x} = \dfrac{\sum \text{sample observations}}{\text{sample size}}[/tex]

Since it is given that the sample mean is 203, thus we have the point estimate of the population mean as 203 too.

Thus, 203 is a point estimate for the population mean weight of all female black bears that are tagged.

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Al simplificar la fraccion 150/600 a su mínima expresión se obtiene 15/6

Answers

Answer:

cierto

Step-by-step explanation:


PLEASE HELP !! ILL GIVE BRAINLIEST *EXTRA POINTS*..
IM GIVING 40 POINTS !! DONT SKIP :((.

Answers

Answer:

y = -16x + 16

Step-by-step explanation:

You can write a linear equation by getting the slope (m) and y-intercept (b).

To get the slope, you have to (y2 - y1) / (x2 - x1).

Which in this case, I'm going to used points (0,16) and (1,0).

So,

(0 - 16) / (1 - 0) = -16 / 1 = -16

m = -16

Now since we have the slope, the equation would look like y = -16x + b

You then have to input any x and y points (I'm going to use 1,0).

0 = -16(1) + b

0 = -16 + b

b = 16

Put this all together,

y = -16x + 16

Hope this helps :)

Let me know if there is any mistakes!!

Answer:

y = -16x + 16

Step-by-step explanation:

Using the data from the table, which statements are correct?
A)
The ratio of Y is consistent.
Х
G
B)
The ratio of Y is not consistent.
Х
C)
The table represents a proportional relationship.
D)
The table does not represent a proportional relationship.
E)
The graph of the data shown on the table is a straight line.

Answers

Answer: The table represents a proportional relationship.

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