Fabian makes a scale drawing of his tree house with a scale factor of 1 foot = 0.44 inch. If the length of the tree house in the drawing is 3.52 inches, what is the actual length of the tree house

The surface area of the cone is 16π square units.

The surface area of the cone is given by;

⇒ Area = πrl + πr²

Here, We have;

A right cone has a slant height of 6 and a radius of 2.

Substitute all the values in the formula

⇒ Area = πrl + πr²

⇒ Area = π x 2 x 6 + π x 2²

⇒ Area = 16π

Hence, The surface area of the cone is 16π square units.

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Answer:

10

Step-by-step explanation:

Step-by-step explanation:

Sorry its messy but if you cant understand tell me

Answer:

Well it's the same because it's the same problem just worded different it's like saying "May I?" and your sister says "Can I?" It's the same question just different wording.

Answer:

x > 9

Step-by-step explanation:

6x + 9 < 7x .    

-6x         -6x             <---- Subtract 6x from both sides.

       9 < x                <----- 7x - 6x = 1x (which can also be written as just x)

Therefore the answer is x > 9.

Answer:

Standard line equation:

y=ax+b

The point (5,1) is on the line. so :

1=a(5)+b → 1=5a+b

The point (1,-5) is also on the line. Then :

-5=a(1)+b → -5=a+b

Subtract the two equations in terms of a and b. we have:

6=4a → a=3/2 , b=-6.5

y=1.5x-6.5

Answer: x^2/9 + y^2/4 = 1

Step-by-step explanation:

Answer: [tex]\frac{x^{2} }{9} +\frac{y^{2} }{4} =1[/tex]

Step-by-step explanation:

Substitute the x-value of the vertex for a, and the y-value of the co-vertex for b in the standard equation of a horizontal ellipse [tex]\frac{x^{2} }{a^{2}} +\frac{y^{2}}{b^{2}} =1[/tex].

[tex]\frac{x^{2} }{a^{2}} +\frac{y^{2}}{b^{2} } =1[/tex]  

[tex]\frac{x^{2} }{-3^{2}} +\frac{y^{2} }{2^{2} } =1[/tex]

[tex]\frac{x^{2} }{9 } +\frac{y^{2} }{4} } =1[/tex]

Answer:

Your answer is X = 7

Step-by-step explanation:

Answer:

trapezium

If the shape you're looking at doesn't have at least one set of parallel sides, it's not a trapezoid; it's something called a trapezium instead. Similarly, if the shape has two sets of parallel sides, it's not a trapezoid. It's either a rectangle, a parallelogram shape or a rhombus.

Step-by-step explanation:

Answer:

4 : 1

Step-by-step explanation:

1 hour : 15 minutes

However we cannot write like this since they aren't of the same unit, so you can either change the minutes to hour by dividing it with 60 or change the hours to minutes by multiplying it with 60.  

1 hour = 60 minutes

60 : 15

The ratio can be simplified.

12 : 3  ( 60 and 15 are multiples of 5 )

The ratio can again be simplified further.

 4 : 1   ( 12 and 3 are multiples of 2 )

Answer:

70 stones

Step-by-step explanation:

since there are 40 seashells represented by 4 in the ratio

you can do 7 times 10 and that equals 70.

The difference of 5/6 - 5/12 is 5/12..

A fraction consisting of a quotient and a remainder is a mixed fraction. we can convert the mixed fraction to an improper fraction by first dividing the numerator by the denominator and then taking the quotient as whole number and the remainder as the numerator of the proper fraction keeping the denominator same.

In this question, we need to apply real algebra properties to find the result of a basic operation between two fractions, whose procedure is shown below:

Given

5/6 - 5/12

Now multiply by 2 in fraction 5/6

10/12 - 5/12

5/12

The difference is 5/12.

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Answer:

The answer is x > 32.

Step-by-step explanation:

1) Subtract 12 from both sides.

[tex] \frac{x}{4} > 20 - 12[/tex]

2) Simplify 20 - 12 to 8.

[tex] \frac{x}{4} > 8[/tex]

3) Multiply both sides by 4.

[tex]x > 8 \times 4[/tex]

4) Simplify 8 × 4 to 32.

[tex]x > 32[/tex]

Therefor, the answer is x > 32.

Answer:

C

Step-by-step explanation:

Answer: C: 204 ft

Step-by-step explanation: plz mark me brainliest. 12x17=204

Answer:

It really depends on how much percent of your overall grade tests count as. But, usually they count for about 60% of your grade (depending on what grade you are in). You have about 65% at the lowest and a 75% at the highest. But, I'm just going by what my school does, I don't know how your school grades tests.

Step-by-step explanation:

Answer:

The surface area of the square pyramid is 34.63cm².

Step-by-step explanation:

[tex]A=a^{2} +2a\sqrt{\frac{a^{2} }{4} +h^{2} } =3^{2} +2[/tex]×3×[tex]\sqrt{\frac{3^{2} }{4} +4^{2} }[/tex]≈34.63cm^2

Answer:

I. The width is 43.5 inches.

II. The length is 24.5 inches.

Step-by-step explanation:

Let the length and width of the rectangle be L & W respectively.

Given the following data;

Perimeter of rectangle = 136 inches

Translating the word problem into an algebraic expression, we have;

L = W - 19 ......equation 1

Perimeter of rectangle = 2(L + W) ......equation 2

To find the dimensions of the rectangle;

136 = 2(L + W)

Substituting eqn 1 into eqn 2, we have;

136 = 2(W - 19 + W)

136 = 2(2W - 19)

136 = 4W - 38

4W = 136 + 38

4W = 174

W = 174/4

W = 43.5 inches

To find the length;

L = W - 19

L = 43.5 - 19

L = 24.5 inches

Answer:

One and Four

Step-by-step explanation:

Answer:

choices 1, 3, & 4 are true, 2 is not

Step-by-step explanation:

Answer:

theres the answers. hope this helps!

Step-by-step explanation:

Answer:

What are the dimensions, a, b, and c, of the net?

a = ✔ 5 cm

b = ✔ 13 cm

c = ✔ 15  cm

Step-by-step explanation:

I took it!

Answer:

dT/dt = k(T-75)

Step-by-step explanation:

dT/dt = the rate of change of the egg's temperature T with respect to time t

k = constant

(T-75) = difference between the egg's temperature and the room temperature 75 degree

The relationship between the temperature of the egg and that of the room is dT/dt = k(T-75).

From the Newton's law of cooling, the rate of cooling of any object depends on the temperature difference between the object and the surroundings. This is usually expressed in a differential equation.

In this particular instant, the differential equation that shows the relationship between the temperature of the egg and that of the room is dT/dt = k(T-75).

Learn more about Newton's law of cooling:https://brainly.com/question/15574522

Answer:

A) P(X ≥ 3 ) = 0.7648

B) P(X ≥ 6) = 0.7515

C) P(X < 5) = 0.0949

D) P(X < 6) = 0.00031113

Yes. This is likely to happen if the true value of p is 0.65

E) P(X ≥ 17) = 0.012118

No. This is unlikely to happen if the true value of p is 0.65

Step-by-step explanation:

Solving this question means we have to deal with binomial probability distribution which follows a formula;

P(X = x) = C(n, x) * p^(x) * (1 - p)^(n - x)

We are given p = 65% = 0.65

A) probability of getting At least 3 out of the 5 business days, we have;

P(X ≥ 3 ) = P(X = 3) + P(X = 4) + P(X = 5)

And n = 5

Thus;

P(X = 3) = C(5, 3) × 0.65³ × (1 - 0.65)^(5 - 3)

P(X = 3) = 0.3364

P(X = 4) = C(5, 4) × 0.65⁴ × (1 - 0.65)^(5 - 4)

P(X = 4) = 0.3124

P(X = 5) = C(5, 5) × 0.65^(5) × (1 - 0.65)^(5 - 5)

P(X = 5) = 0.116

Thus;

P(X ≥ 3 ) = 0.3364 + 0.3124 + 0.116

P(X ≥ 3 ) = 0.7648

B) Probability of getting at least 6 out of the 10 business days.

P(X ≥ 6) = P(X = 6) + P(X = 7) + P(X = 8) + P(X = 9) + P(X = 10)

From online binomial calculator, we have;

P(X = 6) = 0.2377

P(X = 7) = 0.2522

P(X = 8) = 0.1757

P(X = 9) = 0.0725

P(X = 10) = 0.0134

P(X ≥ 6) = 0.2377 + 0.2522 + 0.1757 + 0.0725 + 0.0134

P(X ≥ 6) = 0.7515

C) probability of getting fewer than 5 out of the 10 business days.

P(X < 5) = P(X = 4) + P(X = 3) + P(X = 2) + P(X = 1)

From online binomial calculator, we have;

P(X = 4) = 0.0689

P(X = 3) = 0.0212

P(X = 2) = 0.0043

P(X = 1) = 0.0005

P(X < 5) = 0.0689 + 0.0212 + 0.0043 + 0.0005

P(X < 5) = 0.0949

D)probability of getting fewer than 6 out of the next 20 business days;

P(X < 6) = P(X = 5) + P(X = 4) + P(X = 3) + P(X = 2) + P(X = 1)

From online binomial calculator, we have;

P(X = 5) = 0.000261

P(X = 4) = 0.000044

P(X = 3) = 0.0000056

P(X = 2) = 0.0000005

P(X = 1) = 0.00000003

P(X < 6) = 0.000261 + 0.000044 + 0.0000056 + 0.0000005 + 0.00000003

P(X < 6) = 0.00031113

Yes, in this scenario, It is likely to happen and I would think p is less than 0.65 because probability is less than 1 out of 1000.

E) probability of getting more than 17 out of the next 20 business days.

P(X ≥ 17) = P(X = 18) + P(X = 19) + P(X = 20)

From online binomial calculator, we have;

P(X = 18) = 0.0099846

P(X = 19) = 0.00195187

P(X = 20) = 0.00018125

P(X ≥ 17) = 0.0099846 + 0.00195187 + 0.00018125

P(X ≥ 17) = 0.012118

Probability is around 12 in 100 and not up to 50%. Thus, This is unlikely to happen if the true value of p is 0.65

Answer:

The answer is [tex]\sqrt{25}[/tex]

Step-by-step explanation:

Please mark brainliest

Step-by-step explanation:

I can't see good the picture

Answer:

297.84 miles

Step-by-step explanation:

176 miles in 13 hours is 13.5 miles per hour

13.5 * 22 = 297.84

Answer:

see in the picture, we can see that SPRQ is a parallelogram

=> 70 = 14x

⇔ x = 70/14

⇔ x = 5

Step-by-step explanation: