Janelle draws line segments AB and BC in the same plane such that AB = 8 cm and BC = 6 cm. Then Janelle draws
line segment AC.
Use this information to determine the length, in centimeters, of AC for the following two situations.
• AB, BC, and AC form a triangle. Enter a possible value of AC in the first response box.
• Points A, B, and C lie on the same line, and C lies between A and B. Enter this value of AC in the second
response box.

Answer:

The volume of a cylinder = 78 \mathrm{cm}^{3}78cm3

Let us substitute the volume of cylinder in the formula.

The formula for volume of a cone is V=\frac{\pi r^{2} h}{3}V=3πr2h                    (1)

The formula for volume of a cylinder is V=\pi r^{2} hV=πr2h              (2)

Substituting V=78V=78 in equation (2), we get,

\begin{gathered}\begin{array}{c}{V=\pi r^{2} h} \\{78=\pi r^{2} h}\end{array}\end{gathered}V=πr2h78=πr2h

Given that the cone has the same radius and height of that of the cylinder, let us substitute 78=\pi r^{2} h78=πr2h in equation (1)

\begin{gathered}\begin{array}{l}{V=\frac{\pi r^{2} h}{3}} \\{V=\frac{78}{3}} \\{V=26}\end{array}\end{gathered}V=3πr2hV=378V=26

Thus, the volume of a cone with the same radius and height of a cylinder is 26 \mathrm{cm}^{3}26cm3 .

Answer:

26 cm^3 I hope this helps!

Step-by-step explanation:

Answer:

4x=300

4y=400

y=100

x=75

6×75 =450

2×100=200

a=450

b=200

y for beef

x for vegetables

Answer:

36 feet

Step-by-step explanation:

Given

[tex]h(t) = -16t^2 + 48t[/tex]

Required

Determine the maximum height attained

First, calculate the time to reach maximum height;

In a quadratic equation;

[tex]y = ax^2 + bx + c[/tex]

The maximum is:

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

So, we have:

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

Where

[tex]a = -16; b = 48[/tex]

So:

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

[tex]t = -\frac{48}{2 * -16}[/tex]

[tex]t = -\frac{48}{-32}[/tex]

[tex]t = \frac{48}{32}[/tex]

[tex]t = 1.5[/tex]

The maximum height is at: [tex]t = 1.5[/tex]

So, we have:

[tex]h(t) = -16t^2 + 48t[/tex]

[tex]h_{max}=-16 * 1.5^2 + 48 * 1.5[/tex]

[tex]h_{max}=36[/tex]

Given:

The vertices of a triangle ABC are A(-3,-4), B(16,-2) and C(13,-10).

To show:

That the triangle ABC is a right angled triangle.​

Solution:

Distance formula:

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

The vertices of a triangle ABC are A(-3,-4), B(16,-2) and C(13,-10).

Using the distance formula, we get

[tex]AB=\sqrt{(16-(-3))^2+(-2-(-4))^2}[/tex]

[tex]AB=\sqrt{(19)^2+(2)^2}[/tex]

[tex]AB=\sqrt{361+4}[/tex]

[tex]AB=\sqrt{365}[/tex]

Similarly,

[tex]BC=\sqrt{\left(13-16\right)^2+\left(-10-\left(-2\right)\right)^2}[/tex]

[tex]BC=\sqrt{73}[/tex]

And,

[tex]AC=\sqrt{\left(13-\left(-3\right)\right)^2+\left(-10-\left(-4\right)\right)^2}[/tex]

[tex]AC=\sqrt{292}[/tex]

Now, add the square of two smaller sides.

[tex]BC^2+AC^2=(\sqrt{73})^2+(\sqrt{292})^2[/tex]

[tex]BC^2+AC^2=73+292[/tex]

[tex]BC^2+AC^2=365[/tex]

[tex]BC^2+AC^2=(AB)^2[/tex]

Since the sum of the square of two smaller sides is equal to the square of the largest side, therefore the given triangle is a right angle triangle by using Pythagoras theorem.

Hence proved.

Step-by-step explanation:

see in picture .

you can find your answer

Answer:

no  x = -8/13

Step-by-step explanation:

6x – (3x + 8) = 16x

Combine like terms

6x -3x -8 = 16

3x-8 = 16

Subtract 3x from each side

3x-8-3x = 16-3x

-8 = 13x

Divide by 13

-8/13 = 13x/13

-8/13 =x

Answer:

No, the answer would be -8/13

Step-by-step explanation:

6x-(3x+8)=16x

6x-3x-8=16x

3x-16x=8

-13x=8

x=-8/13

Answer:

9 3/8 inches

Step-by-step explanation:

Inches of candle : hours it burned

= 5 inches : 4 hours

How far has it burned after 7 1/2 hours?

Let

x = how far it has burned (inches)

Inches of candle : hours it burned = x inches : 7 1/2 hours

Equate both ratios

5 inches : 4 hours = x inches : 7 1/2 hours

5/4 = x ÷ 7 1/2

5/4 = x ÷ 15/2

5/4 = x * 2/15

5/4 = 2x/15

Cross product

5 * 15 = 4 * 2x

75 = 8x

x = 75/8

x = 9 3/8 inches

x = how far it has burned (inches) = 9 3/8 inches

Answer:

The exact length of AB is [tex]3 + 4\sqrt{10}[/tex] milimeters.

Step-by-step explanation:

Both triangles ACD and BCD are isosceles and triangles AEC, ADE, BDE and BCE are right-angled, where E is the point where line segments AB and CD meet each other. We can determine the exact length of AB by means of two horizontal right triangles (i.e. AEC, BCE) and the Pythagorean Theorem:

[tex]AB = \sqrt{AC^{2}-CE^{2}}+\sqrt{CB^{2}-CE^{2}}[/tex]

If we know that [tex]AD = AC[/tex], [tex]BC = BD[/tex], [tex]AC = 5\,mm[/tex], [tex]BC = 12\,mm[/tex] and [tex]CE = 4\,mm[/tex], then the exact length of AB is:

[tex]AB = \sqrt{(5\,mm)^{2}-(4\,mm)^{2}}+\sqrt{(12\,mm)^{2}-(4\,mm)^{2}}[/tex]

[tex]AB = 3 + 4\sqrt{10}\,[mm][/tex]

Answer:

RSVUT IS THE CORRECT ANSWER

Answer:

{x | x ≤ -8}

Step-by-step explanation:

-7x ≥ 56

Divide each side by -7, remembering to flip the inequality since we are dividing by a negative

-7x/-7 ≤ 56/-7

x ≤ -8

5dgji

Step-by-step explanation:

how???? ... hope it is good

c is the answer

good luck  :))))

Answer:

You could divide 4 from both sides first

Answer:

$42.50

Step-by-step explanation:

discount reduces the price of the good

discount value = 15% x 50 = 0.15 x 50 = 7.5

sales price = 50 - 7.5 = 42.50

Answer:

−2y3+4y2+18x+8

Step-by-step explanation:

Let's simplify step-by-step.

4(y2+2)+6x−2y3+12x

Distribute:

=(4)(y2)+(4)(2)+6x+−2y3+12x

=4y2+8+6x+−2y3+12x

Combine Like Terms:

=4y2+8+6x+−2y3+12x

=(−2y3)+(4y2)+(6x+12x)+(8)

=−2y3+4y2+18x+8

Answer:

Part A. x is greater than y

Part B. y is greater than x.

Step-by-step explanation:

Part A: if x=10+y, this means that x is 10 greater than y, meaning that x would be greater than y. for example, if y=5, then x=10+5, which would be 15.

Part B: if x=10-y, this means that x is 10 less than y, meaning that y is greater than x. for example, if y=9, then x=10-9, which would be 1.

Answer:

friend me on here and imma send you the link Step-by-step explanation:

Answer:

only 11 days

Step-by-step explanation:

Answer:

mp=160

dis=40

now,

sp=mp-dis

=Rs. 160-Rs.40

=Rs. 120

Answer: x=15

Step-by-step explanation: Since 3x+5 is equal to 50, you can write 3x+5=50, and 3x=45, x=15.

Answer:

c

Step-by-step explanation:

because there is a 3 in front of the root it is a cubed root since

2= square- the two is invisible but its there

3= cubed

Answer:

(iv) 343

Step-by-step explanation:

[tex]\frac{1}{7} x = 49\\\\Multiply \ by \ 7 \ on \ both \ sides. \\\\7 \times \frac{1}{7} \times x = 49 \times 7\\\\x = 343[/tex]

Answer:

Step-by-step explanation:

1/7*x=49

x/7=49

x=49*7

x=343

The type of bias that is used in this study is a non-response bias.

This refers to the type of bias that is used to show the non-responsiveness of subjects in a study when they drop out or do not complete a study.

Hence, we can see that from the given narration, we can see that there is a list of the 12,304 students and from this, 200 students are selected and only 78 are returned which shows that this is a non-responsive bias.

Read more about non-response bias here:

https://brainly.com/question/14286334

#SPj2

Answer:

4x-6=30

4x=36

x=9

hope this helps

have a good day :)

Step-by-step explanation:

Answer:

x = 9

Explanation:

Move all terms that do not contain x to the right side and solve.

Answer: that is a less than sign or symbol

Step-by-step explanation:

Answer: Less than or Equal to

Hi there!  

»»————-　★　————-««

I believe your answer is:  

[tex]y^\frac{2}{3}[/tex]

»»————-　★　————-««  

Here’s why:  

⸻⸻⸻⸻

The rule for a fraction exponent is:

[tex]a^{\frac{x}{y}}=\sqrt[y]{a^x}\\\\\\\huge\boxed{\frac{\text{Power}}{\text{Root}}}[/tex]

⸻⸻⸻⸻

We are given the expression of [tex]\sqrt[3]{y^2}[/tex].

⸻⸻⸻⸻

[tex]\boxed{\text{Rewriting the expression:}}\\\\\sqrt[3]{y^2}\\\\\text{The '3' is the root and the '2' is the power.}\\\\\rightarrow \sqrt[3]{y^2} \\\\\rightarrow {y^{\frac{2}{3}}[/tex]

⸻⸻⸻⸻

[tex]\text{The answer should be: } \boxed{y^\frac{2}{3} }[/tex]

⸻⸻⸻⸻

»»————-　★　————-««  

Hope this helps you. I apologize if it’s incorrect.  

9514 1404 393

Answer:

  C  log3(√((x -4)/x)

Step-by-step explanation:

The applicable rules of logarithms are ...

  log(a/b) = log(a) -log(b)

  log(a^n) = n·log(a)

The base is irrelevant, as long as all logs are to the same base.

__

  [tex]\dfrac{1}{2}(\log_3{(x-4)}-\log_3{(x)})=\dfrac{1}{2}\log_3(\dfrac{x-4}{x})=\boxed{\log_3\left(\sqrt{\dfrac{x-4}{x}}\right)}[/tex]

Answer:

See Explanation

Step-by-step explanation:

Given

[tex]b(t) = 3000 * 2^t[/tex]

The question is incomplete;

A possible question could be to calculate the initial amount of beetle

An exponential function is represented as:

[tex]f(x) = ab^x[/tex]

Where

[tex]a \to Initial\ amount[/tex]

By comparison:

[tex]a = 3000[/tex] --- The initial number of beetles

Another question could be to solve for f(t), after a certain number of weeks (say 3)

Substitute 3 for t in: [tex]b(t) = 3000 * 2^t[/tex]

[tex]b(3) = 3000 * 2^3[/tex]

[tex]b(3) = 3000 * 8[/tex]

[tex]b(3) = 24000[/tex]

Answer:

Angle 1 and Angle 8 are alternate exterior angles.

Step-by-step explanation:

If this helps please mark as brainliest