Mathematics College

Examine the triangle below, solve for x and y, rounded to two decimal places.
X=
y=
X
30° 16
y

Examine The Triangle Below, Solve For X And Y, Rounded To Two Decimal Places.X=y=X30 16y

Answers

Answer 1

The value of x and y in right angle triangle is  16√2 and 16

What is a Right Angle Triangle ?

A right triangle is a triangle having one right angle or two perpendicular sides. It is also referred to as a right-angled triangle, right-perpendicular triangle, orthogonal triangle, or previously rectangled triangle. The relationship between the sides and various angles of the right triangle serves as the basis for trigonometry.

The Pythagorean theorem, often known as Pythagoras' theorem, in Euclidean geometry relates the three sides of a right triangle. This statement states that the area of the square whose side is the hypotenuse is equal to the sum of the areas of the squares on the other two sides.

In the triangle 2 angles are 90° and 45° respectively.

The third angle is  = 180°+90°-45°=45°

The triangle is issosceles triangle

So the side which is not x is 16.

Now by using Pythagoras Theorem

x = √16^2+16^2 = 16√2

The value of x is 16√2

The value of y is y^2 + 16^2 = 16√2^2

y^2 = 512 - 256

y^2 = 256

y = 16

To learn more about Pythagorus Theorem refer to :

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Related Questions

One number is 9 more than twice the other number. Their sum is 54. Find the numbers.

Answers

Answer: The Numbers are 15 and 39

Step-by-step explanation: 2(15) + 9 = 39

divide 7 by 2 then subtract p from the result.

Answers

Answer:

3.5/p

Step-by-step explanation:

7/2 = 3.5

Answer:

[tex]\frac{7}{2}[/tex]-p is the equation

Step-by-step explanation:

The median of the data 78,56,22,34,45,56,39,68,54,84 is____​

Answers

Answer:

22,34,39,45,54,56,56,68,78,84

Answer: 54,56

Step-by-step explanation:

Since 54 and 56 are in the middle,

In order to find the median you need to arrange the following numbers in ascending order and identify the number in the middle of the order.

Amy runs 7 miles in 50 minutes. At the same rate, how many miles would she run in 75 minutes?
miles
Х

Answers

Answer:

10.5miles

Step-by-step explanation:

Suppose a game show called Bayesian Boxes has the contestant sample one marble from a box and guess what type of box it is. When the contestant picks a box, the chance of each box type for this round is as follows:
Type A: 75%, Type B: 20%, and Type C: 5%
The chance of drawing a red marble from Type A is 2%, from Type B is 25%, and from Type C is 98%.
The contestant selects a box and draws a marble. What is the chance of drawing a red marble? (Give the exact decimal answer.)
If the contestant does draw a red marble, what is the chance it came from box Type C? (Give the decimal answer rounded to at least four places.)

Answers

Answer:

0.114

0.049

Step-by-step explanation:

For the boxes:

Type A - 75% = 0.75

Type B - 20% = 0.2

Type C - 5% = 0.05

For the marbles in each box:

Type A - 2% = 0.02

Type B - 20% = 0.25

Type C - 98% = 0.98

Then you can multiply the chance of drawing each box by the chance of drawing a red marble from that box and add all of those together:

0.75 * 0.02 + 0.2 * 0.25 + 0.05 * 0.98

= 0.015 + 0.05 + 0.049

= 0.114

The specific chance for box Type C is 0.05 * 0.98 = 0.049

Write 8 and 1/3 % as a fraction in simplified form.

Answers

Answer:

as a fraction i believe it would be 25/3, but correct me if im wrong :)

find the angle of elevation from c to a

Answers

Answer:

32 Degrees

Step-by-step explanation:

Thank me later lol

Polydactyl cats are cats with extra toes. A researcher believes that the proportion of the population of polydactyl cats in region A is greater than the proportion in region B. Let pB represent the population proportion of polydactyl cats in region A, and let pB represent the population proportion of polydactyl cats in region B. Which of the following are the appropriate hypotheses to test the researchers belief?
A. H0 : PA - PB = 0
Ha : PA is not equal to 0.
B. H0 : PA - PB = 0
Ha : PA - P > = 0
C. H0 : PA - PB = 0
Ha : PA - 0 < 0
D. H0 : P^a - P^b = 0
Ha : P^a - P^b is not equal to 0
E. H0 : P^a - P^b = 0
Ha : P^a - P^b > = 0

Answers

Answer:

B.

H0 : PA - PB = 0

Ha : PA - PB > = 0

Step-by-step explanation:

The Null hypothesis refers to the initial truth in which of there is no significant evidence provided by statistical analysis will remain ; else, the alternative hypothesis which is the opposite of the Null will be favored in place of the Null.

In the scenario above, the claim by the researcher, that "the proportion of the population of polydactyl cats in region A is greater than the proportion in region B." is the Alternative hypothesis ; Ha : PA - PB > = 0 while the Null will be of the notion that the proportion of polydactyl cats in region A and region B are the same.

39 is what percent of 82

Answers

Answer:

47.5%

Step-by-step explanation:

39/82 = .475 = 47.5%

Answer:

39 is  47.56% of 82

Step-by-step explanation:

82 is 100% since it is our output value.

divide 39 by 82 to get the answer in decimal form:

39 / 82 = 0.4756

Then  multiplied the answer from the first step by one hundred to get the answer as a percentage

0.4756 * 100 = 47.56%

nicolas quiere pavimentar el patio rectangular de su nueva casa el patio mide 5,25 m de largo y 3 m dd ancho y necesita 81 baldosas por metro cuadrado ¿cuantas baldosas nesesita nicolas para pavimentar todo el patio ? ¿porque?​

Answers

Answer: Me gusta bailar y dibujar

Step-by-step explanation:

can someone plz help me out

Answers

Step-by-step explanation:

A drought is an event of prolonged shortages in the water supply, whether atmospheric, surface water or ground water. A drought can last for months or years, or may be declared after as few as 15 days.

Solve the proportion 2x+3/3 = 9/27

Answers

Answer:

-0.3333333333

Step-by-step explanation:

WHO KNOWS HOW TO DO THIS LET ME KNOW

Answers

Answer:

Step-by-step explanation:

7). Since, ∠4 and ∠5 are the linear pair of angles,

    m∠4 + m∠5 = 180° [Supplementary angles]

    72° + m∠5 = 180°

    m∠5 = 180° - 72°

    m∠5 = 108°

8). Since, ∠6 and ∠7 are the vertically opposite angles,

    Therefore, ∠6 ≅ ∠7

    m∠6 = m∠7

    3x + 94 = 9x - 38

    9x - 3x = 94 + 38

    6x = 132

    x = 22

    m∠6 = 3(22) + 94 = 160°

    m∠7 = 9(22) - 38 = 160°

9). Since, ∠2 and ∠3 are the linear pair of angles, both the angles will be supplementary.

    m∠2 + m∠3 = 180°

    (13x + 54) + (2x + 36) = 180°

     15x + 90 = 180°

     15x = 90

     x = 6

     m∠2 = 13(6) + 54 = 132°

     m∠3 = 2(6) + 36 = 48°

For the functions f(x) = 3x – 6 and g(x) = 3, (f9) (x) would be equal to:
a) (f9)(x) = 9x2 – 18
b) (f9) (2) = 9x – 18
c) (f9) (2) = x – 2
d) (f9) (x) = 3x – 3

Answers

It’s B you would multiply

Which method do you prefer for solving the equation 2^x=16? Explain.

Answers

Answer:

I'd just ask ma.th wa.y  but...Yhea

Step-by-step explanation:

Create equivalent expressions in the equation that all have equal bases, then solve for  

x

Step-by-step explanation:

step 1. 2^x = 16

step 2. ln(2^x) = ln16

step 3. xln2 = ln16

step 4. x = ln16/ln2 = 4ln2/ln2 = 4.

step 5. The method I prefer is using logarithms.

how many terms of arithmetic sequence 3;11;19.... will add up to 1580​

Answers

Answer:1.58

Step-by-step explanation:

The number of terms in the sequence will be 20 adds up to 1580​.

What is an arithmetic sequence?

An arithmetic sequence is defined as an arrangement of numbers that is in a particular order.

The arithmetic sequence is given in the question, as follows:

3; 11; 19....

We have to determine the number of terms of the sequence will add up to 1580​

The sum of an arithmetic sequence is the sum of the first n terms of the sequence as

Sₙ = n/2(2a+(n−1)d)

In arithmetic, here a₁ is the first term and sequence d represents the common difference.

As per the question,

d = 11 - 3 = 8, a = 2 and S = 1580

Substitute the known values in the formula, and solve for n

1580 = n/2(2x3+(n-1)8)

1580 x 2 = n(6 + 8n - 8)

Solving the above equation, we get

n = 20, and -79/4

Thus, the number of terms in the sequence will 20.

Learn more about arithmetic sequence here:

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Maureen filled a bucket with 5/8 of a gallon of water. 1/4 gallon remained how much leaked

Answers

3/8 of the bucket leaked

Answer:

3/8 leaked,

Step-by-step explanation:

5/8 - 1/4 = 3/8.

5% of a number is 23​

Answers

Answer:

460

Step-by-step explanation:

5%(calculated %)of what number equals 23?

Answer is 460

I hope it's helpful!

460 is the answer of the question

Write as an expression and solve (show your work)

One fourth the difference between 21 and 5

Answers

(21-5) x (1/4) hope this helps!

Answer:hiii

Step-by-step explanatio

What is the sum of the measures of the exterior angles of a 32-gon. A. 180° B. 360° C. 148° D.5400°​

Answers

the sum of the measures of the exterior angles of a 32-gon is d. 5400

Fill in the blank
In the expression 7+(2x6), the term (2x6) is the _ of two _ 2 and 6.
words to fill the blank
-power
-sum
-different
-ratio
-base
-coefficient
-factors
-product
-variable
-terms
-quotient

Answers

Answer:

..................................................................................

Step-by-step explanation:

hahaahahah

I dont rlly understand this problem, can someone help me pls! thx :)

Answers

Answer:

68 i think

Step-by-step explanation:

Step-by-step explanation:

The equation here is,

w° + 124° = 180°

=> w = 180° - 124°

=> w = 56° (Ans)

SOLUTION TO THIS EQUATION

(p+1)x^(2)+(5p-3)x+2p=-3

Answers

Answer:

3.

Step-by-step explanati

the water supplied by a pump fills a drum of 200 liters in 20 seconds. what is the flow rate of this pump​

Answers

Step-by-step explanation:

Water filled in 20 second = 200 liters

Water filled in 1 second = 200 / 20 = 10 liters

The flow rate of the pump is 10 liters per second.

Hope it will help :)

Based on the water the pump supplies in 20 seconds, we can find that the flow rate of the pump is 10 liters per second.

The flow rate is essentially the amount of water the pump supplies per unit amount of time which in this case is seconds.

It can be calculated as:

= Amount of water supplied / Time supplied

= 200 / 20

= 10 liters per second

In conclusion, the pump has a flow rate of 10 liters per second.

Find out more at https://brainly.com/question/21630006.

Solve for x please help


Answers

Step-by-step explanation:

4x + 2 + 3x + 3 = 180 (straight angle)

4x + 3x + 2 + 3 = 180

7x + 5 = 180

7x = 175

x = 25°

9. Convert to fractions and write in simplest form.
A) 0.02
B) 12%
C) 0.5%
D) 1.12

Answers

Answer:

A) 1/50

B) 6/5

C) 1/2

D) 28/25

x^2 - 2x factorise fully

Answers

Answer:

(x-2)*x

Step-by-step explanation:

[tex]x^{2}-2x[/tex]

its maximum common divisor is x

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

[tex](x-2)*x[/tex]

In a randomly generated list of numbers from 0 to 8, what is the chance that
each number will occur?
O A 1/8
O B. 1/7
OC. 1/6
O D 1/9

Answers

Answer:

D) 1/9

Step-by-step explanation:


Which fraction has a value less than 5-7?

Answers

Answer:

3/4

Step-by-step explanation:

Function f is transformed to obtain function g as shown below.
g(x) = 1/4f(x)
Which of the following describes how the graph of g is different from the graph of f?
-The graph of g is the graph of f stretched vertically by a factor of four.
-The graph of g is the graph of f compressed vertically by a factor of one-fourth.
-The graph of g is the graph of f stretched horizontally by a factor of one-fourth.
-The graph of g is the graph of f compressed horizontally by a factor of four.

Answers

Answer:

Step-by-step explanation:

g is f compressed by factor of ¼

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