A Farmer Leans a 12 ft Ladder Against A Barn. The Base of the Ladder Is 6ft From The Barn.l To The Nearest Foot, How High on the Barn Does The Ladder Reach???

Answer:

120 cm squared

Step-by-step explanation:

1.the bases in this case are in blue,these are not included in lateral surface area.

first we must find the area of the top & bottom squares.

(4x4=16)

Then the side rectangles

(11x4=44)

then We add,there are two squares and two rectangles included in the lateral surface area.So we can do 16x2=32 and 44x2=88.

now that we have all our measurements we can add these numbers

88+32=120 cm squared

The product and the sum of the functions will be 3x² - 6x - 24 and 4x + 2. The value of the function (f - g) at x = 4 is negative 18.

In mathematics, functions are everywhere and are necessary for constructing physical connections. A function is a statement, rule, or law that establishes the connection between two variables.

The functions are given below.

f(x) = x - 4

g(x) = 3x + 6

Then the product of the functions will be

(f × g)(x) = (x - 4)(3x + 6)

(f × g)(x) = 3x² -12x + 6x - 24

(f × g)(x) = 3x² - 6x - 24

Then the sum of the functions will be

(f + g)(x) = x - 4 + 3x + 6

(f + g)(x) = 4x + 2

Then the difference in the functions at x = 4 will be

(f - g)(4) = (x - 4) - (3x + 6)

(f - g)(4) = x - 4 - 3x - 6

(f - g)(4) = -2x - 10

(f - g)(4) = -2 (4) - 10

(f - g)(4) = -8 -10

(f - g)(4) = -18

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Answer:

30 grames.

Step-by-step explanation:

5 x 6 = 30.

Answer:

y = x/5280  

Step-by-step explanation:

y  miles =  x feet / 5280

Answer:

Denice would have used 2.25 (or 2 1/4) yards of fabric for each bag.

Step-by-step explanation:

First, you have the 9 bags you are making and they all must be the same because they are identical, so you divide the nine bags by the four yards and I got an answer of 2.25 yards per bag. The answer can also be 2 1/4 as well.

Answer:

8.4

Step-by-step explanation:

Add 8+8+8+9+9=42 then 42/5 equals 8.4

Hope this helps! ;-)

Answer:

B I think..................................

Answer: 2.2 inches

Step-by-step explanation:

[tex] \bold{\underline{\underline{\underbrace{Answer}}}} [/tex]

x = p and y = -q

Step-by-step explanation:

The value of x and y

px + qy = p² - q²(equation 1)

qx - py = 2py

{Taking equation 2}

[tex] \sf qx - py = 2py[/tex]

{Taking py on RHS}

[tex] \sf qx = 2py \ + py [/tex]

{Dividing both sides by q

[tex] \sf x = \frac{2pq}{q} + \frac{py}{q} \\ \\ \sf x = 2p + \frac{py}{q} (equation \: 3)[/tex]

{Now substituting the value of equation 3 in equation 1}

[tex] \sf p(2p + \frac{py}{q} ) + qy = {p}^{2} - {q}^{2} \\ \\ \sf 2 {p}^{2} + \frac{ {p}^{2}y }{q} + qy = {p}^{2} - {q}^{2} [/tex]

{Taking 2p² on RHS and taking LCM on LHS}

[tex] \sf \frac{ {p}^{2}y + {q}^{2} y }{q} = {p}^{2} - {q}^{2} - 2 {p}^{2} \\ \\ \sf \frac{y( {p}^{2} + {q}^{2} ) }{q} = - ( {p}^{2} + {q}^{2} )[/tex]

{Dividing (p² + q²) both sides}

[tex] \sf \frac{y}{q} = - 1 \\ \\ \red{ \boxed {\bold{y = - q}} }[/tex]

{Now using value of y in equation 3}

[tex] \sf x = 2p - \frac{pq}{q} \\ \\ \sf x = 2p - p \\ \\ \red{ \boxed{ \bold{ x = p}}}[/tex]

Answer:

704 cm³

Step-by-step explanation:

Things to understand :

Solving :

Volume (prism) = Volume (rectangular prism) - Volume (cylinder)

Volume = LWH - πr²h

Volume = 5 x 13 x 13 - π x 3² x 5

Volume = 845 - π x  45

Volume = 845 - 141.3

Volume = 704 cm³

[tex] \boxed{\sf \: Answer : Volume \: of \: prism \: is \: 703.7 cm³}[/tex]

Step-by-step explanation:

Information about diagram- The diagram is a square prism with a circular hole in it.

Given:

length of prism (a) = 13cm

height of prism (h) = 5 cm

diameter of circle(d) = 6 cm

To find:

Volume of prism =?

Solution:

Formula that would be used,

[tex] \sf volume \: of \: square \: prism = {a}^{2} h[/tex]

[tex] \sf volume \: of \: cylinder = \pi {r}^{2} h[/tex]

Let's calculate the overall volume of prism,

Volume of prism(including volume of hole) V = a²h

[tex] V = a²h \\ V = {13}^{2} \times 5 \\ V = 845 \: {cm}^{3} [/tex]

To find out the volume circular hole we need to find the radius of hole, since the diameter of hole is given we can calculate the radius by multiplying 1/2.

[tex]r= \frac{d}{2} \\ r = \frac{6}{2} \\ r = 3 \: cm[/tex]

now calculate the volume of circular hole inside the prism,

Volume of circular hole(cylindrical shape) v= πr²h

[tex]v = \pi {r}^{2} h \\ v = 3.14× {3}^{2} ×5 \\ v = 141.3 \: {cm}^{3}[/tex]

The volume of given diagram of prism (V') = Volume of overall prism(V) - volume of circular hole(v)

[tex]V' = V- v \\ V' = 845 - 141.3 \: \\ V' = 703.7 \: {cm}^{3}[/tex]

Answer - Volume of prism is 703.7 cm³

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Answer:

The additive inverse of the number -10 1/4 is +41/4

The additive inverse of any number is such a number added to the given number to get zero.

Let the additive inverse of the given number be "x", hence:

-10 1/4 + x = 0

x = 0 - (-10 1/4)

x = 10 1/4

x = 41/4

Hence the additive inverse of the number -10 1/4 is +41/4

Answer:

N–1=Z+2 should be the solution.

2000cm³.

The volume of any 3d shape is the length x height x width.

This case it is 25 x 10 x 8.

The coordinate of G is (3,6.5).

When a point on a line segment divides it into two segments, the formula used to determine the coordinates of that point is known as the section formula.

The Coordinate of F is (1, 7)

The Coordinate of H is (5,6)

Since G is the midpoint. So, it divides the line FH in 1:1 part

Let coordinates of G be (x, y)

Now using Section Formula,

[tex]x= \frac{1*1+1*5}{2} \;\;\; and \;y= \frac{1*7+1*6}{2}[/tex]

x= 3 and y = 6.5

Hence the coordinate of G is (3,6.5)

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Answer:

A. (h+(h-2) =14)...

I hope this is right! And go on your test! :)

Answer:

50 miles

Step-by-step explanation:

20 multiplied by 2.5 = 50

Answer:

The answer is choice c. This is because texts present the same facts in fiction or nonfiction life.

Answer:

-2

Step-by-step explanation:

Slope of a line, given two points : formatslope=y2−y1x2−x1=4−2−2−(−1)=2−1=−2

Step-by-step explanation:

remember, a probability is always desired cases over possible cases.

and the combination of the probabilities of two (or more) events means to multiply these probabilities.

the probability to get a specific number on the spinner is 1/4 (1 desired number over 4 possible numbers).

so, to get first a number less than 3 ... - that means, the only desired outcome is the number 2.

so,

1/4

to get 5 on the second spin ?

again,

1/4

the combination of both events into one delivers the probability of

1/4 × 1/4 = 1/16

Answer:

B

Step-by-step explanation:

Answer:

D. Because the same answer

Step-by-step explanation:

The r-value that represents the no or low correlation is 0.0

For a r value to show no correlation, then the r value must be 0 or close to 0

Since the r values are not given, then we can assume that the r value is 0

Hence, the r-value that represents the no or low correlation is 0.0

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160

Step-by-step explanation:

Due to the kite being a 2D Object you can just add the numbers of each side up to get to the answer 160. If I'm wrong then I'm sorry I hope this helped though!

Answer: 2/sqrt6

Step-by-step explanation:

tan theta=perpendicular/base so

cot theta =base /perependicular=sqrt2/2

while sin theta=perpendicular/hypotenous=2/x

here x is unkown to find it we will use pythagoras theorem

(hypoteneous)^2=(Base)^2+(perependicular)^2

                            =(sqrt 2)^2+(2)^2

                            =2+4

  (hypoteneous)^2=6

  hypotenous   =sqrt6

so

sin theta=2/sqrt6

The probability that an international flight leaving the United States is delayed given that the flight is a trnaspacific flight is 0.241

The given parameters are:

P(D) = 0.27

P(P) =0.58

P(D and P) = 0.14

The required probability is then calculated using:

P(D | P) = P(D and P)/P(P)

This gives

P(D | P) = 0.14/0.58

Evaluate

P(D | P) = 0241

Hence, the required probability is 0.241

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Step-by-step explanation:

the area of a triangle is always

baseline × height / 2

where baseline and height are perpendicular (with a 90° angle) to each other.

it does not matter, if the height is inside or outside of the triangle.

so, in our case the area is

4×5/2 = 2×5 = 10 units²

The area of the triangle given in the figure is 10 units².

Area of a two dimensional shape is the total region which is bounded by the object's shape.

Given a triangle.

The formula to find the area of the triangle is,

Area  = 1/2 × base × height

Base = 4 units

Height = 5 units

Area of the triangle = 1/2 × 4 × 5

                                 = 10 units²

Hence the area of the triangle is 10 units².

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The maximum amount Simon Powell can borrow against his home is $130,000.

The maximum amount Simon Powell can borrow against his home can be calculated using the following formula:

Maximum amount that can be borrowed = (Current value of the home * Percentage of the market value that can be borrowed) - Mortgage balance …………………. (1)

Substituting all the relevant values into equation (1), we have:

Maximum amount that can be borrowed = ($350,000 * 0.80) - $150,000 = $130,000

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