XYZ ∆ where Angle Y =90° , XZ= 14 m , XY = 6 m . Find YZ ?

( Show all your workings )

Answers

Answer 1

[tex]4 \sqrt{10} [/tex]

Step-by-step explanation:

Use Pythagoras

A^2 + b^2 = c^2

(6)^2 + b^2 = (14)^2

36 + b^2 = 196

B^2 =160

[tex]b = \sqrt{160} [/tex]

[tex]b = 4 \sqrt{10} [/tex]


Related Questions

Is the random variable described discrete or continuous? The amount of rain during the next thunderstorm.

Answers

Answer:

continuous

rain does not fall in specific units like 1 inch , 2 inches etc... but 1.23456 etc..

Step-by-step explanation:

6. Tax: If sales tax is figured at 7.25%, how
much tax will be added to the total purchase
price of three textbooks, priced at $25.00,
$35.00, and $52.00?

Answers

Answer:

$8.12

Step-by-step explanation:

1. Looking at the question

The question says tax will be added to the total purchase price, so not each of them individually.

Prices: $25, $35, $52

Tax rate: 7.25%

2. Solving

[tex]25+35+52=112[/tex]

Percent to decimal = x/100

[tex]7.25[/tex]÷[tex]100=0.0725[/tex]

[tex]0.0725[/tex]·[tex]112=8.12[/tex] (this is the tax)

Hope this helped! Please mark brainliest :)

Answer:

1.81,2.54,3.77

Total

8.12

Step-by-step explanation:

To find the tax, multiply the original amount by the tax rate

tax

25 * 7.25%

25 *.0725

Rounding to the nearest cent

1.81

35 * 7.25%

35 *.0725

Rounding to the nearest cent

2.54

52 * 7.25%

52 *.0725

Rounding to the nearest cent

3.77

Total for all three

1.81+2.54+3.77=8.12

a number decreased by 22% is 117. What is the number?

Answers

100-22=78

117=78%

117/78=1.5

1.5=1%

1.5 x 100=150

Answer:

Old number = 150

Step-by-step explanation:

Given information;

Percentage decreased = 22%

New number obtain = 117

Find:

Old number

Computation:

Old number = New number obtain[100 / (100 - 22)]

Old number = 117[100 / (100 - 22)]

Old number = 117[100 / (78)]

Old number = 11,700 / 78

Old number = 150

i would like to lesen how to Break Down math 3rd thru 12​

Answers

Answer:

Here are some basic tips that experts suggest.

Discuss math class at home.

Model good math behavior.

Talk through math problems.

Highlight real-life math problems.

Highlight real-life examples of fractions.

Play math games.

Use money to practice math.

Explore math with sports.

Step-by-step explanation:

We deposit $12000 into an account carning 3 % interest compounded continuously, How many years will it take
for the account to grow to $16800? Round to 2 decimal places,

Answers

Answer:

The answer is 13.33 year

Step-by-step explanation:

P = $12000

Rate = 3%

Amount = $16800

so,

I = A-P

= $16800 - $12000

= $4800

So,

T = (I × 100)/P×R

= (4800×100)/P×R

= 480000/($12000×3)

= 480000/36000

= 480/36

= 13.33 year

Which of the following slopes of a line pass through points (3, 1) and (0, 1)?

Answers

m or slope = (y2)-(y1)/(x2)-(x1)
= 1 - 1/0 - 3
= 0/-3
your slope would be 0/-3
or up 0, left 3

If today is Friday, tomorrow will be Saturday

Answers

Answer:

Yes

Step-by-step explanation:

Yesterday would be Thursday and the day after next would be Sunday

Combine as indicated by the signs. Write answer In descending powers of x.

X+6/x^28x+15+3x/x+5-x-3/x+3
= ?

Answers

Answer:

Step-by-step explanation:

if A = {x:x<6,x€N} and B ={y:y<4,y€W}, list A-B and B-A

Answers

Answers:

A - B = {4,5}B - A = {0}

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

Explanation:

Recall the following

N = set of natural numbers

N = {1,2,3,4,5,6,...}

W = set of whole numbers

W = {0,1,2,3,4,5,6,...}

The sets N and W are nearly the same set, except for W has 0 involved, while N does not. The triple dots say that pattern goes on forever.

From those infinite sets, we form the two finite subsets A and B like so

A = {x : x < 6, x is in N}

A = {x such that x < 6 and x is a natural number}

A = {1,2,3,5}

B = {y : y < 4, y is in W}

B = {y such that y < 4 and y is a whole number}

B = {0,1,2,3}

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

In short, we have these two finite sets

A = {1,2,3,4,5}B = {0,1,2,3}

The notation A-B indicates we'll start with set A and kick out members of set B that are also in set A. This is known as set subtraction.

So we'll write out set A to get {1,2,3,4,5}

Then we cross off 1,2,3 in this set because these values are found in set B

We're left with {4,5}

Therefore A-B = {4,5}

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

To compute B-A, we do the same idea but in reverse.

Start with set B

{0,1,2,3}

and erase the items 1,2,3 since they are found in set A

We then find that

B-A = {0}

Even though we have 1 item, don't forget about the curly braces to say we have a set. Any set that has exactly 1 item in it is considered a singleton set.

Keep in mind that the singleton {0} is not the empty set. The empty set would have nothing inside it and we would say { } instead.

what can you infer about angles x and y based on the information in the other triangles?

Answers

x= 60 and y = 120
As we can tell x and y add up to 180 as angles on a line are equal to 180 and we know the value of x as angles in a triangle add up to 180

In a right triangle, the lengths of the two legs are 8 cm and 10 cm respectively. Find the hypotenuse of the triangle.
9 cm
10.5 cm
12 cm
12.8 cm

Answers

12.8, pythagorean theorem.

Find the Greatest common factor of 120? Show your work!

Answers

Answer:

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60

Step-by-step explanation:

1x120, 2x60, 3x40, 4x30, 5x24, 6x20, 8x15, 10x12, 12x10,15x8, 20x6, 24x5, 30x4, 40x3, 60x2

PLEASE HELP ASAP! So the answer I got for this problem is 50.26. Can someone make sure that is the correct answer? Please let me know how to solve this problem if it is wrong.

Answers

Answer:

Step-by-step explanation:

every thing looks good,  except the question says  "round"   and soooooo,  if you are rounding to the 2nd decimal place,  then the next two decimal places are  54,      or  50.2654   so, to round that, round up , so your final answer would look like   50.27   :)  see?

9514 1404 393

Answer:

  50.24 inches  (or 50.2 inches)

Step-by-step explanation:

The formula for circumference in terms of radius is ...

  C = 2πr

Using the given values for radius and for pi, the circumference is ...

  C = 2(3.14)(8 in) = 50.24 in

__

Additional comment

If you use a more accurate value of pi, the rounded value is 50.27 in. That is not the value requested by this problem. It helps to follow directions.

If you like, you can round to 50.2, since only one decimal place is required in the result.

Simplify this algebraic expression y-3 over 3+12

Answers

Answer:

(Y-3)/(3+12)

(Y-3)/(15)

Y-1/5

so the answer is

(Y-1)

Answer:

[tex]y - 3 \: over \: 3 + 12 \\ y - 3.3 + 12 \\ y - 3.3 + 12 = y + 8.7 \\ y - 33 + 12 \\ y + 8.7[/tex]

what is the value of pie​

Answers

Answer:

3.142

Step-by-step explanation:

Succinctly, pi which is written as the Greek letter for p, or π is the ratio of the circumference of any circle to the diameter of that circle. Regardless of the circle's size, this ratio will always equal pi. In decimal form, the value of pi is approximately 3.142.

13, 5, 4, 9, 7, 14, 4 The deviations are _____.
A. "5, -3, -4, 0, 1, 6, 4"
B."5, -3, -4, 1, -1, 6, -4"
C."6, -3, -4, 1, 2, 6, -4"
D."-5, 3, 4, -1, 1, 6, 4 "

Answers

Answer:

B."5, -3, -4, 1, -1, 6, -4"

Step-by-step explanation:

We are given that

13,5,4,9,7,14,4

We have to find the deviation.

Mean=[tex]\frac{sum\;of\;data}{total\;number\;of\;data}[/tex]

Using the formula

[tex]Mean,\mu=\frac{13+5+4+9+7+14+4}{7}[/tex]

[tex]Mean,\mu=\frac{56}{7}=8[/tex]

Deviation=[tex]x_i-\mu[/tex]

         [tex]x_i-\mu[/tex]

13          5

5           -3

4           - 4

9            1

7             -1

14            6

4            - 4

Hence, option  B is correct.

Using law of sines please show process and answer

Answers

Hello,

[tex]\widehat{A}=180^o-24.4^o-103.6^o=52^o\\\\\dfrac{sin(24.4^o)}{37.3} =\dfrac{sin(103.6^o)}{c} \\\\\\c=87.760246\approx{87.8}\\\\\\\dfrac{sin(52^o)}{a} =\dfrac{sin(24.4^o)}{37.3} \\\\\\a=71.1510189...\approx{71.2}\\[/tex]

A bank records deposits as positive numbers and withdrawals as negative numbers.
Mike withdrew \$60$60dollar sign, 60 from his bank account 333 times.
What is the change in Mike's account balance after all 333 withdrawals?
\$$dollar sign

Answers

Answer:

i think that $19980 is the answer

Step-by-step explanation:

i hope it will help u

if 2 (3x - 4 ) =5, then x =

Answers

Answer:

2.167 (rounded to the nearest hundredths).

Step-by-step explanation:

Isolate the variable, x. Note the equal sign, what you do to one side, you do to the other. Do the opposite of PEMDAS.

PEMDAS is the order of operations, and stands for:

Parenthesis

Exponents (& Roots)

Multiplication

Division

Addition

Subtraction

~

First, divide 2 from both sides of the equation:

(2(3x - 4))/2 = (5)/2

3x - 4 = 2.5

Next, isolate the variable, x. Add 4 to both sides of the equation:

3x - 4 (+4) = 2.5 (+4)

3x = 2.5 + 4

3x = 6.5

Then, divide 3 from both sides of the equation:

(3x)/3 = (6.5)/3

x = 6.5/3 = 2.167 (rounded).

~

Answer:

We have this equation

2*(3x-4) = 5

We can start solving the parentheses

2*(3x- 4) = 5

6x - 8 = 5

We can add 8 to both sides

6x - 8 + 8 = 5 + 8

6x = 13

And divide by 6

6x/6 = 13/6

x = 13/6

What is this expression in simplified form?

[tex]\sqrt{32} · \sqrt{24}[/tex]

Answers

Hello!

√32 × √24 =

= √768 =

= 163

Good luck! :)

Answer:

16×sqrt(3)

Step-by-step explanation:

what full square numbers are factors in the numbers under the square root that we can pull out ?

and then multiply the rest under the square root and possibly repeat one more time.

32 = 16×2

16 is a great square number.

in 24 we find 4 as the largest square factor.

so,

sqrt(32)×sqrt(24) = sqrt(16×2)×sqrt(4×6) =

= 4×sqrt(2)×2×sqrt(6) = 8×sqrt(2×6) = 8×sqrt(12) =

= 8×sqrt(4×3) = 8×2×sqrt(3) = 16×sqrt(3)

Explain why the following function is not piecewise continuous ​

Answers

9514 1404 393

Answer:

  the function has no finite limit at the left end of the interval (5, ∞)

Step-by-step explanation:

In order for the function to be piecewise continuous, it must have finite limits at the endpoints of each of the subintervals. Here, the function goes to infinity as x → 5+, so has no finite limit there.

Find the domain.
p(x) = x^2+ 2

Answers

Answer:

The domain of the expression is all real numbers except where the expression is undefined. In this case, there is no real number that makes the expression undefined.

Interval Notation:

( − ∞ , ∞ )

Set-Builder Notation:

{ x | x ∈ R }

Step-by-step explanation:

hope that helps bigger terms

You are dealt one card from a 52-card deck.

a) Find the odds in favor of getting a red king.

b) Find the odds against getting a red king.

Answers

Answer:

(a)So, there are 2 kings in red- one of hearts and the other of diamonds. Therefore, the probability of selecting a red king from a deck of cards= 2/52 or 1/26.

(b) There are 6 red face cards in a 52-card deck (so 46 other cards). PROBABILITIES compare the number of favorable outcomes to the total number of possible outcomes: The PROBABILITY of getting a red face card is 6/52 = 3/26.

The odds in favor of getting a red king will be 1/26. And the odds against getting a red king will be 25/26.

What is probability?

Its basic premise is that something will almost certainly happen. The percentage of favorable events to the total number of occurrences.

You are dealt one card from a 52-card deck.

Total events = 52

The odds in favor of getting a red king will be

Favorable events = 2

Then the probability will be

P = 2/52

P = 1/26

The odds against getting a red king will be

q = 1 – P

q = 1 – 1/26

q = 25/26

More about the probability link is given below.

https://brainly.com/question/795909

#SPJ2

Help if possible, thanks

Answers

Answer:

C

Step-by-step explanation:

Sara's speed is 10mph while Bob is 8mph

The third option is correct
Sara did 10
Bob did 8
The difference is 2
Hope that helped *smiles*

Find the range of the data set represented by this box plot.



25
70
20
60

Answers

Answer:

D. 60

Step-by-step explanation:

Range is the difference between the maximum value and the minimum value.

The minimum value is at the extreme end of the whisker of the box plot to your left = 65

The maximum value is at the extreme end of the whisker of the box plot to your right = 125

Range = 125 - 65 = 60

solve the system of equation — 3х + бу = 9
5х + 7y = -49

Answers

Answer:

y = 64/3

x = -119/3

Step-by-step explanation:

3х + 6у = 9 => 5*3x+5*6у = 9*5 => 15x+30у=45 (1)

5х + 7y = -49 => 3*5x + 3*7y = -49*3 => 15x+21y=-147 (2)

(1)-(2) => 9y = 192 => y = 64/3

x = -119/3


Which expression is equivalent to v2/3v2? 1/4 6v2 v2 v2/2

Answers

Answer:

Step-by-step explanation:

[tex]2^{1/2} - 2^{-1/3} = 2^{1/2 + 1/3} = 2^{3/6} = 2^{1/2} = \sqrt{2}[/tex]

Answer:

[tex]\sqrt[6]{2}[/tex]

Step-by-step explanation:

2 ^ 1/2 ÷ 2 ^ 1/3

We know that a^b ÷ a^ c = a^(b-c)

2 ^ (1/2 -1/3)

2^ (3/6 - 2/6)

2 ^ 1/6

[tex]\sqrt[6]{2}[/tex]

What do you add to 2 7/8 to make 5

Answers

Answer:

2 1/8

Step-by-step explanation:

7/8 is the same as 0.875 and therefore you need 0.125 also known as 1/8 to make it a whole number. When you add it to the already existing whole 2 you get three. Subtract three from five to make two which is what you need to add on top to finally get 5.

Find the prime factorisation of each of the following numbers, leaving your answer in index notation..

(e) 117 800


plzz answer quick​

Answers

Answer:

3x3x13 and 2 x 2 x 2 x 2 x 2 x 5 x 5

Step-by-step explanation:

Which is the graph of f(x) = 4(1/2)^x

Answers

Answer:

B.

Step-by-step explanation:

f(x) = 4(1/2)^x

Let's find the value of the function for x = 0 and for x = 1.

f(0) = 4(1/2)^0 = 4(1) = 4

f(1) = 4(1/2)^1 = 4(1/2) = 2

The only graph that has both points (0, 4) and (1, 2) is the second graph.

Answer: B.

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