The driveway in front of the brown house is 35 feet long and the driveway in front of the red house is 7 yards and 9 feet long.Which house has a longer drivewa?.By how much?

Answer:

a17=3

Step-by-step explanation:

an=a1+(n−1)d  geometric sequence formula

-2=a1+(18-1)(-5)

-2=a1+17(-5)

-2=a1-85

a1=83

a17=83+(17-1)(-5)

a17=83+16(-5)

a17=83-80

a17=3

Hope this helps! Please mark brainliest :)

Answer:

40/3 feet³

Step-by-step explanation:

Volume of cylinder = 3 × volume of cone with same base and height

40 = 3 × Volume of cone

Volume of cone = 40/3 feet³

Answer:

I think da answer is C on edge

Step-by-step explanation:

Answer:

The missing pieces should be after line 3.

9/4 = (x - 3)^2

<=> (3/2)^2 = (x - 3)^2

<=> x - 3 = 3/2 or x - 3 = -3/2

<=> x = 3 + 3/2 or x = 3 - 3/2

<=> x = 9/2 or x = 3/2

Hope this helps!

:)

Answer:

I think the missing steps are:

[tex]\frac{3}{2}=x-3[/tex]

and

[tex]\frac{9}{2}=x[/tex]

Step-by-step explanation:

[tex]-27=4x^2-24x[/tex]

First, factor 4 to make isolate [tex]x^2[/tex]

[tex]-27=4(x^2-6x)[/tex]

Now, divide by 4.

[tex]-\frac{27}{4}=x^2-6x[/tex]

Complete the square by adding [tex](\frac{b}{2})^2[/tex]

[tex](\frac{b}{2})^2-\frac{27}{4}=x^2-6x+ (\frac{b}{2})^2[/tex]

[tex](\frac{6}{2})^2-\frac{27}{4}=x^2-6x+ (\frac{6}{2})^2[/tex]

[tex](3)^2-\frac{27}{4}=x^2-6x+ (3)^2[/tex]

[tex]9-\frac{27}{4}=x^2-6x+9[/tex]

Solve the difference.

[tex]\frac{9*4-27}{4}=x^2-6x+9[/tex]

[tex]\frac{36-27}{4}=x^2-6x+9 \\\frac{9}{4}=x^2-6x+9[/tex]

Factor the equation.

[tex]\frac{9}{4}=(x-3)(x-3)[/tex]

Rewrite it;

[tex]\frac{9}{4}=(x-3)^2[/tex]

Extract the square root.

[tex]\sqrt{\frac{9}{4} }=x-3[/tex]

Take the square root of 9 and 4.

[tex]\frac{3}{2}=x-3[/tex]

Add 3.

[tex]\frac{3}{2}+3=x[/tex]

Do the sum

[tex]\frac{3+2*3}{2}=x\\\frac{3+6}{2}=x\\\frac{9}{2}=x[/tex]

Answer:

49

Step-by-step explanation:

Cube 7 to get the volume.(343)

Do 7^2 to get 49, then multiply by 6 to get the surface area(294)

Then subtract 343-294=49

Answer:

it is really true

Step-by-step explanation:

good question

[tex]\text{Find the one bottom side of the triangle first}\\\\\text{We know that the total length is 21, but part of it is 11, so subtract}\\\\21-11=10\\\\\text{Divide 10 by 2 because there are two sides for two triangles}\\\\10\div2=5\\\\\text{Now, since we know two of the sides, we would plug in the values}\\\text{into the Pythagorean theorem and solve:}\\\\5^2+b^2=13^2\\\\25+b^2=169\\\\\text{Subtract 25 from both sides}\\\\b^2=144\\\\[/tex]

[tex]\text{Square root both sides}\\\\\sqrt{b^2}=\sqrt{144}\\\\b=12\\\\\text{This means that x = 12}\\\\\boxed{x=12}[/tex]

Answer:

$14,000

Step-by-step explanation:

i = prt

i= ($70,000)(.04)(5)

i = $14,000

Answer:

$14000

Step-by-step explanation:

Using the given formula :

I = P × R × T

I = 70000 × 4/100 × 5

I = $14000

Answer:

13

Step-by-step explanation:

Answer:

13

Step-by-step explanation:

Answer:

1. f

2. a

3. b

4. e

5. c

6. d

1. I figured out how to order them by using the distance formula to calculate how far each point was, from the other.

2. (1, -10) and (1, -11)

3. (1, -10) and (1, 11)

Step-by-step explanation:

Using Letter A, as example:

To calculate the distance between the points, you use the formula:

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

[tex]d = \sqrt{(2-2)^2+(10-4)^2}[/tex]

[tex]d = \sqrt{0 + 36}[/tex]

d = 6

Just do the same thing (plug in the numbers into the formula), and you should be able to get the correct answers.

Answer:

true

Step-by-step explanation:

If a trapezoid has congruent legs, it is an isosceles trapezoid.

Hope this helps.

It is true, that an isosceles trapezoid is a trapezoid with congruent legs.

A statement is to justify that tells an isosceles trapezoid is a trapezoid with congruent legs.

It is branch of math that pacts with the dimensions, properties, and connections of points, strings, slopes, surfaces, and solids extensively the analysis of effects of given elements that remain consistent beneath prescribed conversions.

Definition of the isosceles trapezoid, when two non-parallel sides(legs) of the trapezoid are congruent then the trapezoids can be said the given trapezoid is an isosceles trapezoid.

Thus, it is true that an isosceles trapezoid is a trapezoid with congruent legs.

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Answer:

The answer would be 24,590

Step-by-step explanation:

Going up the multiplication chart like so will determine the answer.

24,590 (5

19,672 (4

14,754 (3

9,836 (2

4,918 (1

Basically just try 4,918 X 5.

Answer:24,590 pounds

Step-by-step explanation:

Do 4,918×5=24,590

Answer:

s = [tex]\sqrt{81\\[/tex] in.

Step-by-step explanation:

The last two answer don't fit into the given equation, leaving the first two.  For the first one, you do not use the square root of a number that is being squared. That's like saying you're going to fix a car, but the car is just fine and doesn't need fixed.

If you're at all curious about what the square root of 81 is, it's 9.

I hope this helps. If you have any more questions, please feel free to post them and someone will be able to help you, whether it's myself or others. Please leave a like, rating, and if possible, Brainliest. Have a great day!

Answer:

[tex] s = \sqrt{81} \: in[/tex]

Step-by-step explanation:

[tex]\because A = s^2 \\ \therefore \: s = \sqrt{A} \\ \therefore \: s = \sqrt{81} \: in[/tex]

Answer: C, 224 inches squared

Step-by-step explanation:

When formed into a solid, the triangles are folded upwards to make a pyramid. You can find the surface area by finding the areas of the individual shapes.

There are four triangles with a height of 10 inches and a base of 8 inches.

There is one square with a side length of 8 inches.

Triangle area formula : A = (b * h) / 2

Square area formula: A = s^2

(10 * 8) / 2 = 40

8 ^ 2 = 64

There are four triangles with area of 40 and one square with area of 64.

40 + 40 + 40 + 40 + 64 = 224 inches squared. The correct answer choice is C.

The surface area of the pyramid is 224 in².

The surface area of a solid object is a measure of the total area that the surface of the object occupies.

Given net will form a square pyramid, so we will find the surface area of the square pyramid.

Therefore,

The area of the pyramid = side² + 2 × side × height

= 8² + 2 × 8 × 10

= 64 + 160

= 224

Hence the surface area of the pyramid is 224 in².

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Answer:

x=3

Step-by-step explanation:

7x-18=x

Subtract 7x from each side

7x -18-7x = x-7x

-18 = -6x

divide each side by -6

-18/-6 = -6x/-6

3 =x

Answer:

Let's denote:

The probability that today is Monday: P(A)

The probability that a student is absent: P(B)

The probability that a student is absent given that day is Monday: P(B|A)

As given,

P(A intersect B) = 3/100

P(A) = 1/5

=> P(B|A) x P(A) = P(A intersect B)

=> P(B|A) = P(A intersect B)/P(A)  = (3/100)/(1/5) = 15/100 = 3/20

Hope this helps!

:)

There are 8 white squares in the tile pattern.

Given that, there are 48 white tiles in the pattern.

In mathematics, an equation is a formula that expresses the equality of two expressions, by connecting them with the equals sign =.

Let the number of gray squares be x.

Here, a tile pattern has 6 times as many white squares as gray squares

Then, white squares = 6x

Now, 6x=48

⇒ x=8

Therefore, there are 8 white squares in the tile pattern.

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Answer:

3 chapters/hour

Step-by-step explanation:

18 chaps. / 6 hours =3

Answer:

Step-by-step explanation:

The formula for a perimeter of a rectangle = 2(L+B)

= 2L+2B

Where L and B are length and breadth respectively.

The question says ;

2cm = 2(L+B)

2cm = 2L+2B

Divide both sides by 2

1 = L+B

If the sum of the length and breadth is equivalent to 1cm, then the length itself is less than 1 cm. That is L < 1 cm

When all sides of the rectangle is summed, it will definitely be a whole number since the perimeter is 2 cm

Answer:

Direction of the police plane = N57.1E

Speed of the police airplane = 255 km/h

Step-by-step explanation:

The diagram of the situation described is presented in the attached image to this question.

Let the distance the police airplane has to travel to intercept the smuggler at 08:30 be x km

The police airplane moves at 06:30 and plans to intercept the smuggler at 08:30; thereby travelling for 2 hours.

By 08:30, the smuggler would have travelled for 2 hours 30 mins, that is, 2.5 hours, travelling at 200 km/h, that is a total distance of 500 km covered.

So, the paths form a triangle.

Using cosine rule, we can obtain the distance, x, that the police airplane has to travel to intercept the smuggler at 08:30.

x² = 150² + 500² - (2×150×500×cos 85°)

x² = 259,426.63858785

x = 509.34 km

We can obtain the direction, Φ, by finding the angle θ using some rule.

[(Sin 85°)/509.34] = [(Sin θ)/500]

Sin θ = (500 × sin 85°)/509.34 = 0.9779 = 77.94°

From the attached image,

Φ + θ = 90° + 45° = 135°

Φ = 135° - θ = 135° - 77.94° = 57.06° = 57.1°

Therefore,

Speed of police airplane = (distance)/(time) = (509.34/2) = 254.67 km/h = 255 km/h

Direction of the police plane = N57.1E

Hope this Helps!!!

Answer:

D) 2x² + 4x - 30

Step-by-step explanation:

Follow the FOIL method:

FOIL =

First

Outside

Inside

Last

...and is the order you multiply to solve:

(x + 5)(2x - 6) =

(x)(2x) = 2x²

(x)(-6) = -6x

(5)(2x) = 10x

(5)(-6) = -30

Combine like terms. Simplify:

2x² -6x + 10x - 30 = 2x² (-6x + 10x) - 30 = 2x² + 4x - 30

2x² + 4x - 30 is your answer.

~

Answer:

Step-by-step explanation:

(√8)²=8,2²+2²=8

√8→2 units,2 units

(√7)²=7,(√5)²+(√2)²=5+2=7

√7→√5 units,√2 units

(√5)²=5,2²+1²=5

√5→2 units ,1 unit

3²=9,2²+(√5)²=9

3→2 units,√5 units.

Answer: 132

Step-by-step explanation:

C=2[tex]\pi[/tex]r

C=2[tex]\pi[/tex]21

C=131.88

Answer:

probability that none of the solar panels are defective = 0.97

Step-by-step explanation:

Proportion of solar panels that are defective, p = 1/200 = 0.005

Proportion of solar panels that are not defective, q = 1 - p = 1 - 0.005

q = 0.995

Sample size, n = 6

probability that none of the solar panels are defective, P(X=0)

Note: [tex]P(X=r) = nCr p^{r} q^{n-r}[/tex]

[tex]P(X=0) = 6C0 * 0.005^{0} * 0.995^{6-0}\\P(X=0) = 6C0 * 0.005^{0} * 0.995^{6}\\P(X=0) = 1 * 1 * 0.9704\\P(X=0) = 0.97[/tex]

Answer: 0.983

Step-by-step explanation:

Answer:

[tex]5.7 \times {10}^{ - 3} [/tex]

Step-by-step explanation:

0.0057

first number

5

then the rest

7

equal

5.7

There's three zeros behind the number 5 which mean it will be -3

[tex] \times {10}^{ - 3} [/tex]

final answer

[tex]5.7 \times {10}^{ - 3} [/tex]

another example and it will be clear

0.0000403

first number

4

then the rest

03

equal

4.03

There's five zeros behind the number 4 which mean it will be -5

[tex] \times {10}^{ - 5} [/tex]

final answer

[tex]4.03 \times {10}^{ - 5} [/tex]

Answer: => means “implies” or “if and then”

p,q,r are statements

Step-by-step explanation:

Answer:

0

Step-by-step explanation:

Take the second term and subtract the first term

40-48 = -8

Take the third term and subtract the second term

32-40 = -8

The common difference is -8

We have the 4th term

24

The fifth term is

24-8 = 16

The sixth term is 16-8 = 8

The seventh term is 8-8 =0

Answer: 16

Step-by-step explanation:

The answer is 16 because you are going down by 8s

Step-by-step explanation:

Yes, that is correct.  Well done!

Answer:

Price of each turkey sandwich = $6.5

price of each ham sandwich = $5.5

2a + 5b = 40.50.........(i)

4a + b = 31.50..............(ii)

Step-by-step explanation:

Let

price of each turkey sandwich = a

price of each ham sandwich = b

Stefan purchase

2a + 5b = 40.50.........(i)

Nancy purchase

4a + b = 31.50..............(ii)

combine the equations

2a + 5b = 40.50.........(i)

4a + b = 31.50..............(ii)

b = 31.50 - 4a

insert the value of b in equation(i)

2a + 5b = 40.50.........(i)

2a + 5(31.50 - 4a) = 40.50

2a + 157.5 - 20a = 40.50

-18a = 40.50 - 157.5

-18a = -117

divide both sides by -18

a = -117/-18

a = 6.5

insert the value of a in equation(ii)

4a + b = 31.50..............(ii)

4(6.5) + b = 31.50

26 + b = 31.50

b = 31.50 - 26

b = 5.5

Price of turkey sandwich = $6.5

price of ham sandwich = $5.5

The image of the front of the tower is missing, so i have attached it.

Answer:

Option B - 10,000 square millimeters

Step-by-step explanation:

From the image attached, we see that the dimensions of the front of the tower are;

Length; L = 200 mm

Width; w = 50 mm

Now, this front face takes the shape of a rectangle.

Area of rectangle = Length x width

Thus, plugging in the values of length and width, we will get;

Area of front face = 200 x 50

Area of front face = 10,000 square millimeters

Answer:

12,500 mm^2

Step-by-step explanation:

50 x 200 = 10,000 mm

(300 - 200 = 100) 100 x 50 x 1/2 = 2,500 mm

10,000 + 2,500 = 12,500 mm^2

Answer:

c(2) = -10

Step-by-step explanation:

c(1)=-20

c(n)=c(n-1)+10

Let n = 2 since n indicates the term number

c(2)=c(2-1)+10

     = c(1) +10

     = -20+10

      = -10