Alfred is building a slide for a new park. He wants the height of the slide to be 8 feet, and he wants the horizontal distance along the ground to measure 10 feet.

After building the slide, Alfred decides the slide needs a vertical safety support and wants to use a 4-foot piece of wood to build the support. How far from the point where the base of the slide meets the ground should Alfred place the vertical support?

A: 20 Feet

B: 1.3 Feet

C: 5 Feet

D: 4 Feet

Answer:

[tex]\begin{matrix}8&2&7\\ 4&&1\\ 5&3&9\end{matrix}[/tex]

Step-by-step explanation:

[tex]\begin{matrix}a&e&b\\ f&&g\\ c&h&d\end{matrix}[/tex]

From the table,we can extract these equations:

a + e + b = a + c + f = b + g + d = c + h + d

a + e + b = a + c + f ⇒ e + b = c + f

b + g + d = c + h + d ⇒ b + g = c + h

[tex]\begin{Bmatrix}e+b=c+f\\ b+g=c+h\end{Bmatrix} \Longrightarrow g-e=h-f\Longrightarrow g+f=h+e[/tex]

2 + 3 = 4 + 1 then let’s consider :

e = 2 ; h = 3 ; f = 4 ; g = 1 ,which satisfies g + f = h + e

The table becomes:

[tex]\begin{matrix}a&2&b\\ 4&&1\\ c&3&d\end{matrix}[/tex]

From the equation b + e = c + f we get b + 2 = c + 4 then b = c + 2

If we consider c = 5 ⇒ b = c + 2 = 5 + 2 = 7

Then the table becomes

[tex]\begin{matrix}a&2&7\\ 4&&1\\ 5&3&d\end{matrix}[/tex]

Then a + 9 = d + 8 ⇒ d = a + 1

If we consider a = 8 ⇒ d = 9

[tex]\begin{matrix}8&2&7\\ 4&&1\\ 5&3&9\end{matrix}[/tex]

I know it’s not perfect reasoning ,but it may help.

Answer:

720

Step-by-step explanation:

Three-fourths of 960 are simply three fourths times 960, which can be written as follows:

Three/fourths x 960

Furthermore, you can convert "three" to "3" and "fourths" to "4" and then the equation and answer are:

3/4 x 960 = 720

Answer:

A

Step-by-step explanation:

I don't think you asked this question right but I believe A is the answer to your question "What are the solutions of this quadratic equation? 6x2 + 6 = 12x + 18" (fixed)

if these are the options, then I think its A

Answer:

numerator - is 2, 15, 18, 6

denominator - is 12, 14, 33, 8, 64

Step-by-step explanation:

2/10, 4/12, 8/14, 9/33, 1/8, 12/64, 15/55, 18/66, 6/32

Answer:

Step-by-step explanation:

Perimeter

Area

Triangle ABC and triangle DEF are congruent by the SAS Congruence Postulate

Two triangles are said to be congruent if they have the same shape and their corresponding sides are also congruent.

We can say that two triangles are congruent using these 5 rules:

1: SSS or the side, side, side rule, that means that we have two triangles with all three sides equal.

2. SAS or side, angle, side states that in the two triangles, two sides and the included angle are equal.

3. ASA or angle, side, angle states that in two triangles, the two angles and the included side are equal.

4. AAS or angle, angle, side states that we have two triangles where two angles and the non-included side are equal.

5. HL or the Hypotenuse Leg rule states that, if the hypotenuse and one leg of one right-angled triangle are equal to the corresponding hypotenuse and leg of another right-angled triangle, then the two triangles are congruent.

Two triangles are said to be congruent if they have the same shape and their corresponding sides are also congruent.

Example:-From the diagram, given that:

AB = DE, BC = EF and ∠B = ∠E

Triangle ABC and triangle DEF are congruent by the SAS Congruence Postulate

Find out more on congruent triangles at:

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Answer:

i hope this will help you

Answer:

Step-by-step explanation:

An equation is solved for one of the variables by undoing the operations done on that variable. Here, we can solve for 'a' and solve for 'b' to find the desired values.

__

Solve for 'a', then substitute the value of 'b'.

  [tex]\sqrt{9a}=\dfrac{b^2-3}{2}\\\\9a=\left(\dfrac{b^2-3}{2}\right)^2=\dfrac{(b^2-3)^2}{4}\\\\a=\dfrac{(b^2-3)^2}{36}=\dfrac{((-3)^2-3)^2}{36}=\dfrac{6^2}{36}\\\\\boxed{a=1}[/tex]

__

Solve for 'b', then substitute the value of 'a'.

  [tex]\sqrt{9a}=\dfrac{b^2-3}{2}\\\\2\cdot3\sqrt{a}=b^2-3\\\\6\sqrt{a}+3=b^2\\\\b=\sqrt{6\sqrt{a}+3}=\sqrt{6\sqrt{4}+3}=\sqrt{12+3}\\\\\boxed{b=\sqrt{15}}[/tex]

Using it's concept, it is found that there is a 0.0366 = 3.66% probability that your coach and your friend get orange and you get a fruit-punch.

A probability is given by the number of desired outcomes divided by the number of total outcomes.

In this problem, there are 15 bottles.

The probability of the three outcomes occurring is given by:

[tex]p = \frac{1}{3} \times \frac{2}{7} \frac{5}{13} = \frac{10}{273} = 0.0366[/tex]

0.0366 = 3.66% probability that your coach and your friend get orange and you get a fruit-punch.

More can be learned about probabilities at https://brainly.com/question/14398287

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Answer:

Heyyy!!!!

The answer is 1.

Please read explanation it will definitely help you....

Step-by-step explanation:

Okay... Here it goes...

Basically, there is an exponent rule that says that anything to the power of 0 is 1.

I hope this helps!

Answer:

7^0 = 1

Step-by-step explanation:

Anything that has an exponent of 0 is 1.

Step-by-step explanation:

8-3 = 5,

3-5 = -2 = the x coordinate of B

-2-4 =-6,

-2-6 =-8 = the y coordinate of B

(-2,-8) is the point B

A is 5 to the right of the midpoint, so B is 5 to the left of the midpoint

A is 6 up from the midpoint so B is 6 down from the midpoint

Answer:

super  shopper

Step-by-step explanation:

o.85/2=0.425

0.425*3=1.275

Answer:

Step-by-step explanation:

Percentage of birds in Forest B that are robins :

Percentage of sparrows that are in Forest A :

Percentage of birds in Forest A :

Answer:

36%

20%

20%

Step-by-step explanation:

Percentage of birds in Forest B that are robins :

No. of robins in Forest B / birds in Forest B

36 / 100

0.36

36%

Percentage of sparrows that are in Forest A :

Sparrows in Forest A / total sparrows

16 / 80

0.2

20%

Percentage of birds in Forest A :

Birds in Forest A / Total birds

25 / 125

0.2

20%

Answer:

73 dollars and 50 cents

Step-by-step explanation:

Initial Deposit:

70

Years to Save:

1

Estimated Rate of Return

5

Compound Frequency:

Annually

Earned Interest

$3.50

Total Balance

$73.50

Hope this helps!

Answer:

73.50

Step-by-step explanation:

math

Answer:

[tex]512x^3[/tex]

Step-by-step explanation:

[tex](8x)^3 = 8^3x^3 = 512x^3[/tex]

Answer:     x = 5, -5

Step-by-step explanation:

mark brainist

Answer:

(5, 18) and (-5, 38)

Step-by-step explanation:

Equating the values of the function f(x) :

Taking x = +5 :

Taking x = -5 :

The solutions are : (5, 18) and (-5, 38)

Answer:

43 + 7i

Step-by-step explanation:

Given: (1 + 5i)(3 - 8i)

To find: Multiplication and simplification

Solution:

i=[tex]\sqrt{-1}[/tex],

Now, we simply open the brackets as follows:

(1 + 5i)(3 - 8i)

1(3 - 8i) + 5i (3 - 8i)

3 - 8i + 15i - 40[tex]i^{2}[/tex]

3 + 7i - 40[tex]i^{2}[/tex] - (i)

[tex]i^{2}[/tex] = i * i

[tex]i^{2}[/tex] = [tex]\sqrt{-1}[/tex] * [tex]\sqrt{-1}[/tex]

[tex]i^{2}[/tex] = -1

Now, put  [tex]i^{2}[/tex] = -1 into the equation (i)

we get

⇒ 3 + 7i -40(-1)

⇒ 3 + 7i + 40

⇒ 43 + 7i

∴ Final Answer : 43 + 7i

[tex]\qquad\qquad\huge\underline{{\sf Answer}}[/tex]

Here we go ~

what we need to know here is that :

[tex]\qquad \sf  \dashrightarrow \:i \cdot i = - 1[/tex]

Now, let's proceed accordingly ~

[tex]\qquad \sf  \dashrightarrow \:(1 + 5i) \cdot(3 - 8i)[/tex]

[tex]\qquad \sf  \dashrightarrow \:(1 \cdot3) - (1 \sdot8i) + (5i \cdot3) - (5i \cdot8i)[/tex]

[tex]\qquad \sf  \dashrightarrow \:3 - 8i + 15i - ( - 1)(40)[/tex]

[tex]\qquad \sf  \dashrightarrow \:3 + 7i - ( - 40)[/tex]

[tex]\qquad \sf  \dashrightarrow \:3 + 40 + 7i[/tex]

[tex]\qquad \sf  \dashrightarrow \:43 + 7i[/tex]

Answer:

  3, 4

Step-by-step explanation:

The expanded form of the given product is found using the distributive property. An equivalent form can be found using the commutative property of multiplication.

__

  7(2 -3n) = 7(2) +7(-3n) = 14 -21n . . . . . . . matches 3

Swapping the factors gives ...

  7(2 -3n) = (2 -3n)·7 . . . . . . . . . . matches 4

__

About the other choices

1. The value is not the same as 14 -21n. It appears to have been the result of (more or less) adding 7 to the coefficients inside parentheses.

2. It is a common mistake to eliminate parentheses after applying the outside factor to the first term only. That seems to be what happened here. The distributive property says you apply the factor to all the terms inside parentheses.

5. The sum of terms (2 -3n) has been incorrectly replaced by the product of terms (2)(-3n).

Answer:

Step-by-step explanation:

Tyler concludes that 5x² will always have a larger output for the same value of x.

Look at the graph below and the table given

Take a random value: x = 0

Here, 1 > 0, making 2^x > 5x²

Hence, 2^x is greater than 5x² at this point. making Tyler's point not applicable.

Disagree with Tyler's point.

No it won't be

Take x =9

But

Clearly 2^x surpasses 5x²

So Tyler is wrong

Answer:

y²+x-7=-x+37

Step-by-step explanation:

im a pickle morty its the funniest thing ive ever experienced

Answer:

A

Step-by-step explanation:

The number of students that are on the track team are 18.

The number of students that are on the baseball team are 15.

a + b = 33 equation 1

a - b = 3 equation 2

Where:

Subtract equation 2 from equation 1

2b = 30

Divide both sides by 2

b = 30/2 = 15

Subtract 15 from 33: 33 - 15 = 18

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Answer:

$0.70 per ounce

Step-by-step explanation:

Concepts + Application

The unit price of an object, in this case, is the total amount of money spent divided by how many ounces there are. We're given the total amount of money as $4.20 and the number of ounces as 6. Thus, we just divide 4.20 by 6.

Solution

Answer:

the answer is 4×b=4b

Step-by-step explanation:

product=×

4×b=4b