In figure find the value of x triangle PQR

20 POINTSSSS

Answer:

V≈5.23×10-7m³

Step-by-step explanation:

V=π(d

2)2h=π·(0.014

2)2·3.4×10-3≈5.23389×10-7m³

Answer: 523.1 mm^2

You first want to find the radius for the volume of cylinder formula. You first do 14 divided by 2 to get the radius. You should get 7. Then after you find the radius you then put it into the formula which is v=3.14 x radius^2 x height. The equation with all the numbers from the problem is 3.14 x 7^2 x 3.4. After you put the equation into your calculator you should get 523.1 mm^2.

Answer:

44.4 degrees

Step-by-step explanation:

Given the following

Hypotenuse = 7

Longer leg = 5 (adjacent])

Let the acute angle angle between both sides be x

According to SOH CAH TOA

Cos theta = adj/hyp

Cos x = 5/7

x= arccos (5/7)

x = arccos (0.7143)

x = 44.4degrees

Hence he measure of the acute angle that is included between the longer leg and the hypotenuse is 44.4 degrees

Step-by-step explanation:

there are 7 decimal places from between 2 and 3 to the very end. so the answer is 7

Answer: 2.36x^10

Step-by-step explanation:

Answer:

S.A. = 138.16

Step-by-step explanation:

S.A. = πrl+πr²

3.14 x 4 = 12.56

12.56 x 7 =87.92

3.14 x 4 = 12.56

12.56 x 4 = 50.24

87.92 + 50.24 = 138.16

Let me know if this helps!

21Answer:

Step-by-step explanation:

Answer:

25

Step-by-step explanation:

Answer:

Q1; 124.72

Sorry I don’t understand the second one

Step-by-step explanation:

Answer:

y = 1.4x + 5.6

Step-by-step explanation:

plug the slope and y-intercept into the formula: y = ax + b (a is the slope and b is the y-intercept)

thus, y = 1.4x + 5.6

Answer:

(b, -a)

Step-by-step explanation:

First note that the rule for a rotation by 270° about the origin is (x,y)→(y,−x)

Note that the coordinates were swapped and the x coordinates negated. Similarly;

Given the coordinate of the point U as (a, b), if the triangle is rotated 270degrees clockwise, the resulting coordinate will  be (b, -a)

Answer:

D) 6^5 · 3^5

Step-by-step explanation:

(6 · 3)^5 = 1889568

A) WRONG

(5 · (6 · 3)) = 90

B) WRONG

9^5 = 59049

C) WRONG

6 · 3^5 = 1458

D) CORRECT

6^5 · 3^5 = 1889568

Answer:

I believe 31 dollars and 95 cents

Step-by-step explanation:

Marie would earn $37.2 in 4 1/2 hour.

The unitary technique involves first determining the value of a single unit, followed by the value of the necessary number of units.

For example, Let's say Ram spends 36 Rs. for a dozen (12) bananas.

12 bananas will set you back 36 Rs. 1 banana costs 36 x 12 = 3 Rupees.

As a result, one banana costs three rupees. Let's say we need to calculate the price of 15 bananas. This may be done as follows: 15 bananas cost 3 rupees each; 15 units cost 45 rupees.

Given:

Marie charges a $10.75 base fee for each dog she walks,

and, additional $7.10 per hour that she walks the dog.

Each day she spends $5.50 on dog treats.

So, if Marie works for 4 1/2 hour then she can earn

= 10.75 + 4 1/2 x 7.1 - 5.5

= 10.75 + 4.5 x 7.1 - 5.5

= $37.2.

Hence, Marie would earn $37.2.

Learn more about Unitary Method here:

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Answer:

The mode is 27.

Step-by-step explanation:

To find the mode we must first put them in order from least to greatest.

21, 26, 26, 27, 27, 27, 28, 28, 31, 33

The mode means the most common number out of the data.  Therefore since 27 is the most common number, it is the mode.

Hey there!

The mode is basically the number you see MORE THAN ONCE.

So, the numbers in your data plot is/are

“21, 28, 27, 26, 27, 27, 33, 28, 26, 31”

(I’m assuming)

21 is shown ONE TIME

28 is shown TWO TIMES

27 is shown THREE TIMES

26 is shown TWO TIMES

33 is shown ONE TIME

31 is shown ONE TIME

THE BIGGEST ONE THAT’S SHOWN IS: 27 because it was shown in your data plot three times

Answer: 27

Good luck on your assignment and enjoy your day!

~Amphitrite1040:)

Answers of the quiz are as follows

A. 75

B. -50

C. 20

D. -12

We have been given that -

Number of questions= 25

Correct answers= x and score= 3

Incorrect answers= y and score= -2

Not answered= z and score= 0

We can calculate the score as:

A) What is the maximum score you could get on the quiz?

Maximum score one can get on the quiz if he / she correct all i.e. -

25 × 3 = 75.

B)  What is the minimum score you could get on the quiz?

Minimum score one can get on the quiz if he / she correct all i.e. -

25 ×-2 = -50.

C)  A student answers 15 questions.10 are correct. How many points does he score?

Scored points = (10 × 3) + (5 × -2)

= 30 -10

=20 points

D) Another student answers 21 questions. 6 are correct. How many points does she score?

= 6 × 3 + (15 × -2)

= 18-30

= - 12 points

Hence, the answer are a- 75 , b- -50 , c - 20, d- -12.

To learn more about Numbers

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Answer: 1/4

Step-by-step explanation: Take point (1,1) put the rise (2) over the run (8) and then simplify.

Answer:

1663

Step-by-step explanation:

Answer:

SA = 176 in²

Step-by-step explanation:

SA = (4 x 9 x 4) + (2 x 4 x 4) = 176 in²

Answer:

None of the above (144)

Step-by-step explanation:

A = l x w x h

B = 36

h = 4

9 x 4 = 36

36 x 4 = 144

Let me know if this helps!

Answer:

The area of the rectangle is Length x width. So 12x4 would =48 sq cm. The area of the circle is ( 3.14 ) x r2.

The area of the circle would be = (3.14)x2^2)=12.56 cm sq.

So the total  area is= Area of rectangle +Area of circle

TA=48+12.56

TA=60.56 sq cm

:)

Answer:

y=-7/4x+6

Step-by-step explanation:

m=(y2-y1)/(x2-x1)

m=(-1-6)/(4-0)

m=-7/4

y-y1=m(x-x1)

y-6=-7/4(x-0)

y-6=-7/4(x)

y-6=-7/4x

y=-7/4x+6

Answer:

175%

Step-by-step explanation:

The first one is a whole=1

the second one is cut in four but only 3 are shaded so 1/4=0.25    0.25*3=0.75

3/4/0.75 is shaded

so 1+0.75=1.75

1.75=175%

The correct relation for the sea gull population is: P(t) = 5.3t^(11/7)

Answer:

d. about 66.5 hundred thousand

Step-by-step explanation:

Given that :

P(t) = 5.3t^(11/7)

Population, P is in hujdred thousand ; t = number of years

Population after 5 years ;

t = 5

P(5) = 5.3 * 5^(11/7)

P(5) = 5.3 * 5^1.5714285

P(5) = 5.3 * 12.542422

P(5) = 66.474840

P(5) = 66.5 (approximately)

Hence, population after 5 years will be about 66.5 hundred thousand.

Answer: C

Step-by-step explanation: 19² =361 and 20² = 400

Answer:

8

Step-by-step explanation:

Answer:

Step-by-step explanation:

7680 i think

Given:  

Number 1X2Y6Z is divisible by 9.

To find:  

The least value of  X+Y+Z = ?

Solution:  

First of all, let us learn the divisibility rule of 9.  

A given number will be divisible by 9 if and only if the sum of digits of the given number is also divisible by 9.

For example:

Let us consider a number 923463.  

The sum of digits = 9 + 2 + 3 + 4 + 6 + 3 = 27  

27 is divisible by 9 so the number 923463 will also be divisible by 9.

Let us consider another example 8972.  

Sum of digits = 26  

26 is not divisible by 9 so the number 8972 will also be not divisible by 9.

Now, we are given the number 1X2Y6Z.  

Sum of digits = 1 + X + 2 + Y + 6 + Z = 9 + X+Y+Z

The number 1X2Y6Z will be divisible by if 9+X+Y+Z is divisible by 9.  

The least value of X+Y+Z can be zero, so the sum of digits = 9 + 0 = 9  

which will make the number 1X2Y6Z divisible by 9.

So, the answer is:

Least value of X+Y+Z = 0 so that the number 1X2Y6Z is divisible by 9.

9514 1404 393

Answer:

  0

Step-by-step explanation:

For a number to be divisible by 9, the sum of the digits must be divisible by 9. The given digits total 9, so x+y+z must be a multiple of 9. The least possible multiple of 9 is 0.

The least value of x+y+z is 0.

_____

102060/9 = 11340

Answer:

option c

Step-by-step explanation:

The angles are 30° , 60° , 90° . So its a right angled triangle . We can use trigo.

⇒ sin 30 = p/h

⇒ 1/2 = p/10

⇒ p = 10/2

⇒ p = 5

Using Cosine now ,

⇒ cos 30° = b/h

⇒ √3/2 = b/10

⇒ b = √3/2 × 10

⇒ b = 5√3

Answer:

c) short leg = 5; long leg = 5 √3

Step-by-step explanation:

How long are the other sides?

short leg = 5; long leg = 5 √3

Answer:

Down below

Step-by-step explanation:

The graph is attached to the answer.

The function is an expression, rule, or law that defines the relationship between one variable to another variable. Functions are ubiquitous in mathematics and are essential for formulating physical relationships.

Given is a function,

g(x) = -3, -8≤x-2

          1, -2≤x≤4

          5, 4≤x≤10

The function g(x) is a discrete function. It is continuous between -8 to -2, -2 to 4, and 4 to 10.

And the open circle at -8, -2, 4, and 10.

More about the function; click,

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a) 3x + 5y =  26  

b) 2x + 2y = 12

First, we need to find a way to equate either the x terms or the y terms in each equation. a)  6x + 10y = 52

                          b) 6x + 6y = 36

Then take equation b) from the equation a) to eliminate the x component.

a) 6x + 10y = 52

- b) 6x + 6y = 36

   0x    + 4y = 16

            y = 4 ?

Then substitute the value of y into either equation to find the value of x.

b) 2x + 2y = 12

   2x + (2x4) =12

   2x + 8 = 12

   2x = 4

   x = 2

I hope this new information i read helps you maybe understand it and as an example!