The area of a rectangular piano is 5 5/8 square yards, it's length is 1 1/2 yards. what's the patios width in yards.
pls show work ​

II and III only

We split up the integration interval [1, 4] into 3 equally-spaced subintervals of length (4 - 1)/3 = 1 :

[1, 2], [2, 3], [3, 4]

The area over each subinterval [L, R] is either approximated by a trapezoid, whose area will be

1 • (f(L) + f(R))/2

or by a rectangle with height f((L + R)/2) and hence area

1 • f((L + R)/2)

For f(x) = x², the area under f(x) over [1, 4] is approximated by

• using trapezoids (T) :

[tex]\displaystyle \int_1^4 x^2 \, dx \approx \frac{4-1}{2\times3} (1^2 + 2\times2^2 + 2\times3^2 + 4^2) = \frac{43}2 = \frac{86}4[/tex]

• using midpoints (M) :

[tex]\displaystyle \int_1^4 x^2 \, dx \approx \frac{4-1}3 \left(\left(\frac32\right)^2 + \left(\frac52\right)^2 + \left(\frac72\right)^2\right) = \frac{83}4[/tex]

so T > M. (This eliminates "I only" and "all of the functions".)

For f(x) = √x, the area is approximated by

• T :

[tex]\displaystyle \int_1^4 \sqrt x \, dx \approx \frac{4-1}{2\times3} (\sqrt1 + 2\sqrt2 + 2\sqrt3 + \sqrt4) \approx 4.646[/tex]

• M :

[tex]\displaystyle \int_1^4 \sqrt x\, dx \approx \frac{4-1}3 \left(\sqrt{\frac32} + \sqrt{\frac52} + \sqrt{\frac72}\right) \approx 4.677[/tex]

so T < M. (This eliminates "none of the functions".)

Check the picture below.

[tex]\textit{using the pythagorean theorem} \\\\ c^2=a^2+b^2 \qquad \begin{cases} c=\stackrel{hypotenuse}{4\sqrt{2}}\\ a=\stackrel{adjacent}{s}\\ b=\stackrel{opposite}{s}\\ \end{cases}\implies (4\sqrt{2})^2~~ = ~~s^2~~ + ~~s^2 \\\\\\ 4^2\sqrt{2^2}~~ = ~~2s^2\implies 16(2)=2s^2\implies 32=2s^2\implies \cfrac{32}{2}=s^2 \\\\\\ 16=s^2\implies \sqrt{16}=s\implies \boxed{4=s}[/tex]

Answer:

expected loss of 4/30 ≈ 0.13 dollars

Step-by-step explanation:

profit  = revenue - expenses

expected profit= expected revenue - expected expenses

how i solve this is by multiplying each revenue and expense by its probability and solving from there

revenue of gold = 5

revenue of silver = 2

revenue of black = 0

this exhausts all of our revenue options

total marbles = 2+8+20 = 30

# of gold marbles = 2

probability of gold = 2/30

# of silver marbles = 8

probability of silver = 8/30

# of black marbles = 20

probability of black = 20/30

expected revenue = sum of possible revenues multiplied by their probability

= 5 * 2/30 + 2 * 8/30 + 0 * 20/30 = 10/30 + 16/30 = 26/30

cost = 1 no matter what

expected profit = expected revenue - expected expenses

= 26/30 - 1

= -4/30

= an expected loss of 4/30

4/30 ≈ 0.13

The volume of a standard NBA basketball is 7,329 cm³.

The volume of a sphere is given by the formula,

V = 4/3×π×r³

Given the diameter of the ball is 24.1 cm, therefore, the radius of the ball will be 12.05cm (half the diameter of the ball). Thus, the volume of the NBA basketball will be,

V = 4/3 × π × (12.05)³

V = 7,329.084 cm³ ≈ 7,329 cm³

Hence, the volume of a standard NBA basketball is 7,329 cm³.

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Answer: 27

Step-by-step explanation:

By the same-side interior angles theorem, [tex]x+72+3x=180 \longrightarrow x=\boxed{27}[/tex]

Answer:

7.8

Step-by-step explanation:

distance formula : [tex]d = \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]

where the x and y values are derived from the given points

here the given points are (11,3) and (6,9)

assigning variables

(x1,y1) = (11,3) so x1 = 11 and y1 = 3

(x2,y2) = (6,9) so x2 = 6 and y2 = 9

plugging in values into formula

recall formula [tex]d = \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]

==> plug in x1 = 11 , y1 = 3 , x2 = 6 and y2 = 9

[tex]d=\sqrt{(6-11)^2+(9-3)^2}[/tex]

==> subtract values in parenthesis

[tex]d=\sqrt{(-5)^2+(6)^2}[/tex]

==> evaluate exponents

[tex]d=\sqrt{25+36}[/tex]

==> add 25 and 36

[tex]d=\sqrt{61}=7.8[/tex] ( approximately )

Answer:

The tie is $10

Step-by-step explanation:

3 shirts were bought, so 25*3 is 75. The total cost is $85, you take 85 and subtract 75 from it and you get the cost of the tie, $10.

Answer: Each person gets £978

Step-by-step explanation: £6846 divided by 7 is £978

Answer:

slope= x2- x1/y2 -y1

= 5-(-3)/6-4

8/2= 4

Answer:

the price per foot = $8,1

Step-by-step explanation:

Note : 2 yards = 2 × 3 = 6 foot

Then

Joe can paint 6 foots of fence for $48.60

Then

Joe can paint 1 foot of fence for 48.60 ÷ 6 = $8,1

Answer:

its C or 22.5

Step-by-step explanation:

Im doing the test right now

Answer:

22.5

Step-by-step explanation:

Answer:

If the number on the other side of the inequality sign is negative

Step-by-step explanation:

I just know okay

Answer:

12 students

Step-by-step explanation:

Because the total is 4 sticks, and each student needs 1/3 of a stick, we would have to see how many 1/3 sticks fit into 4 sticks. Because 3 of the 1/3 sticks fit into 1 stick, then 4 sticks would be 4*3=12 of the 1/3 sticks, which means 12 students can do it.

We could also just do: 4/(1/3)= 4*(3/1)=12

This is fractional division. The second value of the division process, we switch the numerator and denominator's, and the expression turns to a multiplication expression, where we can just multiply.

Answer:

Step-by-Step explanation:

Given:

Volume of Rectangular Prism is 15,000cm³.

We know that,

★ Volume of Rectangular Prism = whl ★

Let "h" be the height.

➛ 25 × h × 20 = 15,000

➛ h × 20 × 25 = 15,000

➛ h × 500 = 15,000

➛ h = 15,000 ÷ 500

➛ h = 30

Thus, height of the box is 30 cm.

Step-by-step explanation:

Explaination:  So first of all um what I am going to do is I need to find the area of this semicircle. So the area of the semicircle, I'm going to use pi times the radius squared and then divided by two. So I'm using the formula of the area of a circle and then I'm dividing it by two because it's half of a circle. And then I'm going to add that to the area of a triangle which is base times height divided by two. 

Hope it helps you

Answer:

100 points ??? I see 5 points :]

Answer: The mean is 6, mean also means the constence.

Step-by-step explanation:

6 is able to go into 10,20,30,40. But I maybe wrong, sorry if I am.

Answer:

23.80$

Step-by-step explanation:

[tex]\frac{20}{x} =\frac{100percent}{19percent}[/tex]

X = (20 × 19) ÷ 100

X =380 ÷ 100

X = 3.8$

20.00+ 3.8=

23.80

[tex]y = ab^x \\\\[-0.35em] ~\dotfill\\\\ \begin{cases} x=0\\ y=14 \end{cases}\implies 14~~ = ~~ab^0\implies 14=a(1)\implies 14=a~\hfill \underline{y=14b^x} \\\\[-0.35em] ~\dotfill\\\\ \begin{cases} x=3\\ y=4802 \end{cases}\implies 4802~~ = ~~14b^3\implies \cfrac{4802}{14}=b^3 \\\\\\ 343=b^3\implies \sqrt[3]{343}=b\implies 7=b~\hfill \underline{y=14(7)^x}[/tex]

Answer:

D

Step-by-step explanation:

Exterior means outside which means it has to be one of the angles outside the triangle.

Options A, B, and C have angles inside the triangle.

Option D is the only angle outside the triangle

Answer:

y= -x-5

Step-by-step explanation:

m=1-(-5)/-4-2

m=-1

-1= -x

y=-x-5

Elijah was travelling before his stop than afterwards with speed of 0.5 km/h.

To solve for distance use the formula for distance d = vt, or distance equals speed times time. Rate and speed are similar since they both represent some distance per unit time like miles per hour or kilometers per hour.

Before his stop, the velocity =[tex]\frac{0.4km}{0.1 h}[/tex]

                                              = 4 km/h

After his stop, the velocity =[tex]\frac{2.7km}{2.2 h}[/tex]

                                               = 3.5 km/h

So, 4-3.5 km/h= 0.5 km/h

Elijah was travelling before his stop than afterwards with speed of 0.5 km/h

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Answer:

A≈113.1km²

Step-by-step explanation:

[tex]1 \: 3 \: 3 \: 6 \: 6 \: 5 \: 4 \: 3 \: 1 \: 1 \: 2[/tex]

the mode and median of the given numbers set.

the most frequently occurred number.

[tex]mode = 1 \: and \: 3[/tex]

first arrange all the numbers in either decending or ascending order, then find the number in the middle.

[tex]1 \: 1 \: 1 \: 2 \: 3 \: 3 \: 3 \: 4 \: 5 \: 6 \: 6[/tex]

[tex]median = 3[/tex]

hence, the median of the following data set is 3 and the mode is 1 and 3

Answer:

aedi on

Step-by-step explanation:

If point B (3, -1) has been translated from A by the Vector (4, 3). Then the coordinates of A will be (12, -3)

A spatial transformation is each mapping of feature space to itself and it maintains some spatial correlation between figures.

Point B (3, -1) has been translated from A by the Vector (4, 3).

Then the coordinates of A will be

Point B (3, -1) x  (4, 3)

Point B (3 x 4, -1 x 3)

Point B (12, -3)

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Answer:

5 lbs cereal squares.

25 Ibs nuts.

Step-by-step explanation:

Let x be the weight of nuts in pounds and y be the weight of cereal squares in pounds.

Total weight of the party mix is 30 pounds.

[tex]x+y=30[/tex]              ..... (1)

It is given that,

Cost of nuts = $7 per pound

Cost of cereal = $4 per pound

The cost of mix = $6.50 per pound.

[tex]7x+4y=6.50*30[/tex]    

[tex]7x+4y=195[/tex]           ..... (2)

Substitute the value of x in equation (2) from equation (1).

[tex]7(30-y)+4y=195[/tex]

[tex]210-7y+4y=195[/tex]

[tex]-3y=195-210[/tex]

[tex]-3y=-15[/tex]

Divide both sides by -3.

[tex]y=5[/tex]

Substitute y=5 in equation (1).

[tex]x+5=30[/tex]

Subtract both sides by 5.

[tex]x=30-5[/tex]

[tex]x=25[/tex]

Therefore, he use 25 lbs of nuts and 5 lbs cereal squares for party mix.