Find value of each variable! Express in simplest radical form!

Answer:

8. 272 m²

10. 306.9 km²

12. 311.4 m²

Step-by-step explanation:

8. the surface area =

(10×10)+(4×½×10× 8.6)

= 100 + 172 = 272 m²

10. the surface area =

(11×7)+(2×½×7×13.2)+(2×½×11×12.5)

= 77+92.4+137.5= 306.9 km²

12. the surface area =

(9×9) +(4×½×9×12.8)

= 81+230.4 = 311.4 m²

Answer:

[tex]Length = 500ft[/tex]

[tex]Width = 250ft[/tex]

Step-by-step explanation:

Given

[tex]P = 1000[/tex] --- perimeter

Required

The dimensions that maximize the area

Let

[tex]L \to Length[/tex]

[tex]W \to Width[/tex]

Such that:

[tex]P = L + 2W[/tex] ---- Because one side is from the school building

This gives:

[tex]L + 2W = 1000[/tex]

Make L the subject

[tex]L = 1000 - 2W[/tex]

The area is then calculated as:

[tex]A= L * W[/tex]

Substitute: [tex]L = 1000 - 2W[/tex]

[tex]A= (1000 - 2W) * W[/tex]

Open bracket, then set A to 0

[tex]A = 1000W - 2W^2[/tex]

[tex]1000W- 2W^2 = 0[/tex]

Rewrite as:

[tex]-2W^2 + 1000W = 0[/tex]

Assume the form of the above equation is: [tex]aW^2 + bW + c = 0[/tex]

The value of W that maximizes it is:

[tex]W = -\frac{b}{2a}[/tex]

Where

[tex]a = -2[/tex]

[tex]b = 1000[/tex]

[tex]c = 0[/tex]

So:

[tex]W = -\frac{1000}{2*-2}[/tex]

[tex]W = \frac{1000}{2*2}[/tex]

[tex]W = \frac{1000}{4}[/tex]

[tex]W = 250[/tex]

Recall that:

[tex]L = 1000 - 2W[/tex]

[tex]L =1000 - 2 * 250[/tex]

[tex]L =1000 - 500[/tex]

[tex]L = 500[/tex]

So, the dimensions that maximize the area is:

[tex]Length = 500ft[/tex]

[tex]Width = 250ft[/tex]

Answer:

= 16

Step-by-step explanation:

1/5 of 20 = 4

so,

4/5 of 20 = 16

Answer:

Step-by-step explanation:

Answer:

its A because 25% is equal to 25 out of a hundred

Step-by-step explanation:

Answer: Flow Chart. B - Fishbone Diagram. C - Scatterplot. D - 80-20 principle; used to identify the ... The Histogram is a graphic which is: A - Bar Chart useful for showing the distribution of data. B. 80-20 principle. C. A complex timeline. D. A simple history

Step-by-step explanation: Hope this helped :)

Answer:

H0: μm − μw = 0

against the claim

Ha: μm − μw ≠ 0

Since the calculated value of z= 0.6177 does not lie in the critical region the null hypothesis is accepted that men and women have equal success in challenging calls.

Step-by-step explanation:

1) Let the null and alternate hypothesis be

H0: μm − μw = 0

against the claim

Ha: μm − μw ≠ 0

2) The significance level is set at 0.05

3) The critical region is z > + 1.96 and z< -1.96

4) The test statistic

Z= p1-p2/ sqrt [pcqc( 1/n1+ 1/n2)]

Here p1= 411/ 1390= 0.2956     and    p2= 213/753=0.2829

pc = 411+ 213/1390+753

pc=624/2143

pc= 0.2912

qc= 1-pc= 1-0.2912=0.7088

5) Calculations

Z= p1-p2/ sqrt [pcqc( 1/n1+ 1/n2)]

z= 0.2956-0.2829/√ 0.2912*0.7088( 1/1390+ 1/753)

z= 0.0127/ √0.2064 (0.00204)

z= 0.0127/0.02056

z= 0.6177

6) Conclusion

Since the calculated value of z= 0.6177 does not lie in the critical region the null hypothesis is accepted that men and women have equal success in challenging calls.

Answer:

-2.2y-1.8

Step-by-step explanation:

1.2y+4.5-3.4y-6.3

1.2y-3.4y+4.5-6.3

-2.2y+4.5-6.3

-2.2y-1.8

Answer:

20%

Step-by-step explanation:

If we think of the circle as 1, and each piece 1/5, and since we know that 1/5 = 20%, we can conclude that each piece takes up 20% of the circle.

Answer:

D

Step-by-step explanation:

Rectangles haven’t perpendicular diagonals

Answer:

is is 35

Step-by-step explanation:

asdfasdf

Answer:

a)   13 feet

b)   22.6º

Step-by-step explanation:

c² = 12² + 5²

c² =  144 + 25

c² =  169

Take the square root of both sides

c = 13 Feet

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

tan = opp/adj

∅ = arctan5/12

∅ = 22.619864948040426

∅ = 22.6º

Answer:

4ft

Step-by-step explanation:

The bottom of the ladder will be 16.25 feet from the bottom of the building.

A right triangle is defined as a triangle in which one angle is a right angle or two sides are perpendicular.

As per the situation, we create a right triangle as shown.

Let x be the distance from the bottom of the building to the bottom of the ladder.

Using Pythagoras's theorem, then, we have:

x² + 31² = 35²

Simplifying this equation, we get:

x² = 35² - 31²

x² = 264

x = 16.25 (rounded to the nearest tenth of a foot).

Therefore, the bottom of the ladder will be 16.25 feet from the bottom of the building.

Learn more about Pythagoras's theorem here:

brainly.com/question/343682

#SPJ6

Let f(x) = (2 - x)/(2 + x). By definition of the derivative,

[tex]\displaystyle f'(x)=\lim_{h\to0}\frac{f(x+h)-f(x)}h[/tex]

[tex]\displaystyle f'(x)=\lim_{h\to0}\frac{\frac{2-(x+h)}{2+(x+h)}-\frac{2-x}{2+x}}h[/tex]

[tex]\displaystyle f'(x)=\lim_{h\to0}\frac{\frac{(2-x-h)(2+x)-(2-x)(2+x+h)}{(2+x+h)(2+x)}}h[/tex]

[tex]\displaystyle f'(x)=\lim_{h\to0}\frac{-4h}{h(2+x+h)(2+x)}[/tex]

[tex]\displaystyle f'(x)=-4\lim_{h\to0}\frac1{(2+x+h)(2+x)}=\boxed{-\frac4{(2+x)^2}}[/tex]

Answer:

21

Step-by-step explanation:

you now aswer to that question yes or no

Answer:

3.333 hours

Step-by-step explanation:

Given the total distance is 30 miles, and boat 1 travels at 3 mph and boat 2 travels at 6 mph, and the time for both is the same. Distance is speed S times time T so

30 = D(boat 1) + D(boat 2)

30 = (S1 * T) + (S2 * T)

30 = 3T + 6T

30 = 9T

3.333 = T

Answer:

x =  6/√3

y = 3/√3

Step-by-step explanation:

For a triangle rectangle with a known angle θ, we have the relations:

Sin(θ) = (opposite cathetus)/(hypotenuse)

Cos(θ) = (adjacent cathetus)/(hypotenuse)

Tan(θ) = (opposite cathetus)/(adjacent cathetus)

For this triangle, we know an angle:

θ = 60°

And the opposite cathetus measures 3 units.

The adjacent cathetus is y.

The hypotenuse is x.

To find the value of x, we can use the Sin equation:

Sin(60°) = 3/x

x = 3/sin(60°) = 3.46 = 3*2/√3 = 6/√3

And we can use the Tan relation to find the value of y.

Tan(60°) = 3/y

y = 3/Tan(60°) = 1.73 = 3/√3

For x he didn't divide by √3, while for y he multiplied by √3 instead of dividing by √3.

Answer:

Cos θ = √7/3

Step-by-step explanation:

From the question given above, the following data were obtained:

Sine θ = √2 / 3

Cos θ =?

Recall

Sine θ = Opposite / Hypothenus

Sine θ = √2 / 3

Thus,

Opposite = √2

Hypothenus = 3

Next, we shall determine the Adjacent. This can be obtained as follow:

Opposite = √2

Hypothenus = 3

Adjacent =?

Hypo² = Adj² + Opp²

3² = Adj² + (√2)²

9 = Adj² + 2

Collect like terms

9 – 2 = Adj²

7 = Adj²

Take the square root of both side

Adjacent = √7

Finally, we shall determine the value Cos θ. This can be obtained as follow:

Adjacent = √7

Hypothenus = 3

Cos θ =?

Cos θ = Adjacent / Hypothenus

Cos θ = √7/3

Answer:

Step-by-step explanation:

Answer:

d = m/v

d = 352/220 = 1.6

density is 1.6 g/cm^3

Step-by-step explanation:

Answer:

1,138 square feet but I'm not 100% sure

Step-by-step explanation:

Answer:

is this yr new questions but still it's blank

Answer:

(4, 2)

Step-by-step explanation:

x = (x1 + x2 + x3)/3

x = (0 + 2 + 10)/3

x = 12/3

x = 4

y = (y1 + y2 + y3)/3

y = (6 + 0 + 0)/3

y = 6/3

y = 2

(4, 2)

Answer: 273 cm, 300

Step-by-step explanation:

Given

The length of each sea creature is [tex]3.9\times 10\ cm[/tex]

for 7 microscopic creature, it is

[tex]\Rightarrow 7\times 3.9\times 10\\\Rightarrow 273\ cm[/tex]

The distance of Neptune from the sun is [tex]2.794\times 10^9\ \text{miles}[/tex]

and the earth is [tex]9.3\times 10^7\ \text{miles}[/tex] from the sun

Comparison of neptune and earth distance

[tex]=\dfrac{2.794\times 10^9}{9.3\times 10^7}\\\\=0.300\times 10^2\\=300.4[/tex]

Neptune is 300 times farher away form the sun than earth

Answer:

Amount of finance charge = $800

Interest rate = 5% per year

Step-by-step explanation:

Given:

Cost of item = $4,000

Per month payment = $100

Number of month = 48 month = 48 /12 = 4 year

Find:

Amount of finance charge

Interest rate

Computtaion:

Total amount pay = 100 x 48

Total amount pay = $4,800

Amount of finance charge = Total amount pay - Cost of item

Amount of finance charge = 4,800 - 4,000

Amount of finance charge = $800

Interest = P x r x T

800 = 4,000 x r x 4

800 = 16,000 x r

Interest rate = 5% per year

Answer:

255

Step-by-step explanation:

1,275/5 = 255

9514 1404 393

Answer:

  B.  P ′(6, 3), Q ′(3, 0), R ′(5, −2)

Step-by-step explanation:

The translation vector tells you that 4 is added to each x-coordinate.

  (x, y) ⇒ (x, y) +(4, 0) = (x +4, y)

Then ...

  P(2, 3) ⇒ P'(2+4, 3) = P'(6, 3) . . . . . matches B or D

  Q(-1, 0) ⇒ Q'(-1+4, 0) = Q'(3, 0) . . . . . matches choice B

Check

  R(1, -2) ⇒ R'(1 +4, -2) = R'(5, -2) . . . . . also matches choice B

Answer:

23

Step-by-step explanation:

Answer:

h²=p²+b²

28²=p²+24²

p²=784-576

p²=208

p=√208

p=14.42 cm

hope it helps