Area of composite shapes ?

Answer

500,000 + 500,000 = 1,000,000

Step-by-step explanation:

Answer:

150 m at 10 m/s

350 m at 50 m/s

Step-by-step explanation:

x + y = 500

x/10 + y/50 = 22

~~~~~~~~~~~~~~~~~

x + y = 500

5x  + y  = 1100

~~~~~~~~~~~~~~~~

x + y = 500

-5x  - y  = -1100

-4x = -600

x = 150

y = 350

Answer:

35 - 0.15 * 35 so it is $29.75

Step-by-step explanation:

I got u

Answer:

$29.75

Step-by-step explanation:

15% = .15

.15 x 35 = 5.25

35 - 5.25 = 29.75

Answer:

x is down and up and y is up then down

Step-by-step explanation:

I think

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

Explanation:

It might help to draw out the picture as shown below. The pool itself (just the water only) is the inner rectangle. The outer rectangle is the pool plus the border of those 1 by 1 tiles.

The pool is a rectangle 90 feet by 80 feet. If we add on the tiles, then we get a larger rectangle that is 90+2 = 92 feet by 80+2 = 82 feet.

We add on 2 since we're adding two copies of "1" on either side of each dimension.

The larger rectangle's area is 92*82 = 7544 square feet

The smaller rectangle's area is 90*80 = 7200 square feet

The difference in areas is 7544-7200 = 344 square feet.

Each 1 by 1 tile is of area 1*1 = 1 sq foot, meaning that 344 tiles will get us the 344 square foot border around the pool.

Answer:

a = 3

Step-by-step explanation:

(a, -1) is (x, y)

Plug in the value of y into the given equation to solve for a (x):

4x - 3(-1) = 15

4x + 3 = 15

4x = 12

x = 3

(x, y) is (a, -1) so (a, -1) = (3, -1)

Answer: a=3

Step-by-step explanation:

We are given a point and an equation. To see what "a" is, we can plug in the coordinate into the equation and solve for x.

4a-3(-1)=15       [multiply]

4a+3=15           [subtract both sides by 3]

4a=12               [divide both sides by 4]

a=3

Now, we know that a=3.

Answer:

$192

Step-by-step explanation:

2400/48=50

50x3.84=192

Answer:Sample Response: First, find the unit price of the jelly. The unit cost of jelly is $0.08 per ounce. Next, find the total price of 2,400 oz by multiplying the unit price by the quantity. The total price is $192.

Step-by-step explanation:Pls mrk me as brainliest need award

9514 1404 393

Answer:

  221 : 14

Step-by-step explanation:

The ratio is ...

  students : adults = (boys + girls) : adults = (132 +89) : 14 = 221 : 14

__

That's about 15.8 to 1.

Answer:

221:14

Step-by-step explanation: 132+89=221 (students) and 14 adults and the order is students to adults so 221:14

Answer:

1=83.08

Step-by-step explanation:

mean=summation of number divided by number

Answer:

the answer is B. (0,0) (5,-3) (4,1)

please mark me brainlist

Step-by-step explanation:

Answer:

Your answer is

Step-by-step explanation:

Your answer is B.(0, 0), (5, -3), (4, 1)

Answer:

9 + i

Step-by-step explanation:

You just simplify by combining the real and imaginary parts of each expression.

Hope this helps you!!

You have some data points labeled by [tex]x[/tex]. They form the set {3, 5, 7}.

The mean, [tex]\bar x[/tex], is the average of these values:

[tex]\bar x = \dfrac{3+5+7}3 = \dfrac{15}3 = 5[/tex]

Then in the column labeled [tex]x-\bar x[/tex], what you're doing is computing the difference between each data point [tex]x[/tex] and the mean [tex]\bar x[/tex]:

[tex]x=3 \implies x-\bar x = 3 - 5 = -2[/tex]

[tex]x=5 \implies x-\bar x = 5-5 = 0[/tex]

[tex]x=7 \implies x-\bar x = 7 - 5 = 2[/tex]

These are sometimes called "residuals".

In the next column, you square these values:

[tex]x=3 \implies (x-\bar x)^2 = (-2)^2 = 4[/tex]

[tex]x=5 \implies (x-\bar x)^2 = 0^2 = 0[/tex]

[tex]x=7 \implies (x-\bar x)^2 = 2^2 = 4[/tex]

and the variance of the data is the sum of these so-called "squared residuals".

Answer:

r = 3 2/3

s = -0.444333

Step-by-step explanation:

Multiply the top equation by 2

14r - 6s = 52

2r -  6s =   8          Subtract the two equations

12r = 44                 Divide by 12

r = 44/12

r = 3 8/12

r = 3 2/3

2r - 6s = 8

2*(2 2/3) - 6s = 8

2*2.6667 - 6s = 8

5.3334 - 6s = 8              Subtract 5.3334 from both sides.

- 6s = 2 2/3                    Divide by - 6

s = - 0.4443333

9514 1404 393

Answer:

  (a)  21

Step-by-step explanation:

The product of the lengths to the near and far circle intercepts are the same for the two lines. For the tangent, the near and far intercepts are the same point, so we have ...

  (36)(36) = (27)(27+x)

  48 = 27+x . . . . . . . . . . divide by 27

  x = 21 . . . . . . . . subtract 27

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

Answer:

Call More is cheaper at 50 minutes

The two companies would charge the same for 60 minutes of use.

Talk Now is cheaper the more minutes you talk. At some point the rate of change of Call More makes it more expensive. That point is just after their costs are even.

Step-by-step explanation:

Answer: hi your question is poorly written below is the correct question

answer :

a) y1 = Asint,   y'1 = Acost  , y"1 = -Asint

b) y2 = Bcost,   y'2 = Bsint , y"2 = - Bcost

c) y = Asint + B cost satisfies the differential equation for any constant A and B

Step-by-step explanation:

y" + y = 0

Proves

a) y1 = Asint,   y'1 = Acost  , y"1 = -Asint

b) y2 = Bcost,   y'2 = Bsint , y"2 = - Bcost

c) y3 = y1 + y2 ,   y'3 = y'1 + y'2,  y"3 = y"1 + y"2

∴ y"1 + y1 = -Asint + Asint

  y"2 + y2 = -Bcost + Bcost

  y"3 - y3 = y"1 + y"2 - ( y1 + y2 )

               = y"1 - y1 + y"2 - y2  

               = -Asint - Asint  + ( - Bcost - Bcost )  = 0

Hence we can conclude that y = Asint + B cost satisfies the equation for any constant A and B

Answer: Approximately 72.69 meters

Step-by-step explanation:

[tex]sin(42.3)=\frac{opposite}{hypotenuse} =\frac{h}{108} \\\\108*sin(42.3)=h\\\\h=72.685[/tex]

The height of the antenna by using the Pythagoras theorem is 72.68 meters.

"Trigonometry is one of the branches of mathematics that deals with the relationship between the sides of a triangle (right triangle) with its angles".

For the given situation,

Length of guidewire = 108 meters

Angle of elevation = 42.3 degrees

Height of the antenna be 'h'.

By Pythagoras theorem,

[tex]Sine[/tex] θ = [tex]\frac{Perpendicular}{hypotenuse}[/tex]

On substituting the above values,

⇒ [tex]Sine 42.3 = \frac{h}{108}[/tex]

⇒ [tex]0.6730 =\frac{h}{108}[/tex]

⇒ [tex]h=0.6730[/tex] × [tex]108[/tex]

⇒ [tex]h= 72.68[/tex]

Hence we can conclude that the height of the antenna is 72.68 meters.

Learn more about trigonometry here

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Answer:

It would be 6300000. I can't write this in standard form.

Step-by-step explanation:

Answer:

6.3 x 10^6

Step-by-step explanation:

Answer:

A={Delaware, Pennsylvania, New Jersey}

|B|=3

Step-by-step explanation:

B={New Hampshire, Virginia, New York}

Answer:

17

Step-by-step explanation:

So, this is a percentage problem.

Start off by finding how many students 0.28% is:

If 100% = 5780

0.01% = 0.578                          

Now:

0.01% = 0.578

0.28% = 16.184

The exercise tells you to round for a whole person, so 16.184 turns 17

And that's the answer!

Answer:

0.7

Step-by-step explanation:

67/10 is the same as 6.7 when you subtract the 0.7 you will remain with 6

Answer:

All of them are in the domain.

Step-by-step explanation:

The function is f(x)= (x+1)^2. If you simplify this, you get y=x^2+2x+1=0. This is a quadratic that opens upwards. There are no gaps in the x values and no impossible values. The domain is all real numbers and all the answer choices are real numbers.

Answer:

0.319 = 31.9% probability that the wait time will be more than an additional 16 minutes

Step-by-step explanation:

To solve this question, we need to understand the exponential distribution and conditional probability.

Exponential distribution:

The exponential probability distribution, with mean m, is described by the following equation:

[tex]f(x) = \mu e^{-\mu x}[/tex]

In which [tex]\mu = \frac{1}{m}[/tex] is the decay parameter.

The probability that x is lower or equal to a is given by:

[tex]P(X \leq x) = \int\limits^a_0 {f(x)} \, dx[/tex]

Which has the following solution:

[tex]P(X \leq x) = 1 - e^{-\mu x}[/tex]

The probability of finding a value higher than x is:

[tex]P(X > x) = 1 - P(X \leq x) = 1 - (1 - e^{-\mu x}) = e^{-\mu x}[/tex]

Conditional Probability

We use the conditional probability formula to solve this question. It is

[tex]P(B|A) = \frac{P(A \cap B)}{P(A)}[/tex]

In which

P(B|A) is the probability of event B happening, given that A happened.

[tex]P(A \cap B)[/tex] is the probability of both A and B happening.

P(A) is the probability of A happening.

In this question:

Event A: It has already taken 11 minutes.

Event B: It will take 16 more minutes.

Exponentially distributed with an average wait time of 14 minutes.

This means that [tex]m = 14, \mu = \frac{1}{14}[/tex]

Probability of the waiting time being of at least 11 minutes:

[tex]P(A) = P(X > 11) = e^{-\frac{11}{14}} = 0.4558[/tex]

Probability of the waiting time being of at least 11 minutes, and more than an additional 16 minutes:

More than 11 + 16 = 27 minutes. So

[tex]P(A \cap B) = P(X > 27) = e^{-\frac{27}{14}} = 0.1454[/tex]

What is the probability that the wait time will be more than an additional 16 minutes?

[tex]P(B|A) = \frac{P(A \cap B)}{P(A)} = \frac{0.1454}{0.4558} = 0.319[/tex]

0.319 = 31.9% probability that the wait time will be more than an additional 16 minutes

Given:

The two numbers are 1280 and 630.

To find:

The HCF of the given numbers.

Solution:

First write the given numbers in prime factorization form.

[tex]1280=2\cdot 2\cdot 2\cdot 2\cdot 2\cdot 2\cdot 2\cdot 2\cdot 5[/tex]

[tex]630=2\cdot 3\cdot 3\cdot 5\cdot 7[/tex]

Now the product of all the common prime factors is known as the HCF of 1280 and 630.

[tex]HCF=2\cdot 5[/tex]

[tex]HCF=10[/tex]

Therefore, the HCF of 1280 and 630 is 10.

Answer:

Step-by-step explanation:

The solution triangle attached below :

Since we have a right angled triangle, we can make use of Pythagoras rule to obtain the vertical distance, x

Recall :

Hypotenus² = opposite² + adjacent²

Hence,

x² = 61² - 60²

x² = 3721 - 3600

x² = 121

x = √121

x = 11

Vertical distance equals 11 inches