what are equilateral triangles?

Considering a quadratic equation, it is found that:

Considering the height in feet, it is given by:

h(t) = -4.9t² + v(0)t + h(0)

In which:

In this problem, we have that h(0) = 6, v(0) = 16, hence the equation is given by:

h(t) = -4.9t² + 16t + 6

Which is a quadratic equation with coefficients a = -4.9, b = 16, c = 6. Hence the maximum height is found as follows:

[tex]\Delta = b^2 - 4ac = 16^2 - 4(-4.9)(6) = 373.6[/tex]

[tex]h_{MAX} = -\frac{\Delta}{4a} = -\frac{373.6}{-4(4.9)} = 19.06[/tex]

The maximum height of the volleyball is of 19.06 feet.

It hits the ground at the roots, hence:

The solutions are:

[tex]x_1 = \frac{-16 + \sqrt{373.6}}{-9.8} = -0.34[/tex]

[tex]x_2 = \frac{-16 - \sqrt{373.6}}{-9.8} = 3.6[/tex]

Time is a positive measure, hence:

The volleyball will hit the ground after 3.6 seconds.

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Answer:

simple interest=Principal +Time+Rate÷100

Interest=3000+3+5÷100=3005.03

interest=3005.03

= 4 × 10^2

= 6 × 10^3

= 2 × 10^6

= 4 × 10^-1

( to find the standard form just count the zeros. )

a)= 4×10^2

b)= 6×10^3

c)= 2×10^6

d)= 4×10^-1

hope this helps

Answer:

1 pound of turkey is 3 dollars

Step-by-step explanation:

Answer:

1 lb of turkey costs 3$

Step-by-step explanation:

You divide the cost by the pound to find the answer

21/7 =3

Answer:

Part 1:

A. Correct

B. Correct

Part 2:

A. Correct

C. Correct

Answer:

I got 100 % on the quiz

Step-by-step explanation:

check the photo below for the awnser

Answer:

x=19

Step-by-step explanation:

9x-17

(9*19)-17

=95

5*19=95

if you put 19 in x you will get the same degree

Answer:

144

Step-by-step explanation:

-12 * -12 = 144

12² =144

but the question was not 12², but -12²

so the answer is -144

if the exercise was between (), so writen like this (-12)²

then you would need to do the - to the power of 2 as well

Isolate the absolute-value term:

2 |3x - 5| - 4 = 12

2 |3x - 5| = 8

|3x - 5| = 4

Recall the definition of absolute value:

[tex]|x| = \begin{cases}x & \text{if }x \ge0\\-x&\text{if }x<0\end{cases}[/tex]

We consider two cases:

• If 3x - 5 ≥ 0, then |3x - 5| = 3x - 5, and the equation resolves to

3x - 5 = 4

3x = 9

x = 3

• Otherwise, if 3x - 5 < 0, then |3x - 5| = -(3x - 5) = -3x + 5, hence

-3x + 5 = 4

-3x = -1

x = 1/3

Answer:

Step-by-step explanation:

Remember :the orthocenter of  a triangle is the point of concurrency of the 3 altitudes.

[tex]\large \text{If an orthocenter lies inside of a triangle, then the triangle must be}\ :\\\\\large isosceles. \\\\\large obtuse. \\\\\large right. \\\\\large acute \checkmark[/tex]

If an orthocenter lies inside of a triangle, then the triangle must be acute.

A triangle is a three-sided polygon that consists of three edges and three vertices.

Orthocenter of a triangle is the intersection of any two of three altitudes of a triangle.

The third altitude usually pass through the point of the first two altitudes.

When the orthocenter lies inside a triangle, the angles formed by the intersection of the three altitudes is less than 90 degrees.

An acute triangle is a type of triangle whose angles are less than 90 degrees.

Hence, If an orthocenter lies inside of a triangle, then the triangle must be acute.

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Answer:

The area is 176.6

Step-by-step explanation:

The formula for the area of a circle is "πr²"

This means you square the radius, and multiply it by pi.

Our diameter is 15, and the radius is half of the diameter.

15 ÷ 2 = 7.5

Next, we square the radius. (7.5)

Let's fill it into the formula.

π7.5²

After squaring, it's this:

π56.25

In your question, pi is 3.14, so let's replace that.

(3.14)56.25

After multiplying we get 176.625, after we round, we get 176.6

176.6 is the area.

Brainliest please?  

Answer:

The area is 176.6

Step-by-step explanation:The formula for the area of a circle is "πr²"This means you square the radius, and multiply it by pi.Our diameter is 15, and the radius is half of the diameter.15 ÷ 2 = 7.5Next, we square the radius. (7.5)Let's fill it into the formula.π7.5²After squaring, it's this:π56.25In your question, pi is 3.14, so let's replace that.(3.14)56.25After multiplying we get 176.625, after we round, we get 176.6176.6 is the area.

Step-by-step explanation:

Answer: 1046.48cm

Step-by-step explanation: Multiplying by 2.54 To convert

Step-by-step explanation:

A+B+C=180° (Sum of angles in a triangle)

A+44°+119°=180

A+163°=180°

A=17°

Using Sine Rule

a/Sin A=c/Sin C

Subtitute the value of A, c and C into the formula

a/Sin 17°=15/Sin 119°

Cross Multiply

a=15Sin17°/Sin119°

a=5.01 (2 d.p)

Answer: [tex]\frac{3}{8}[/tex] of the 3 candy bars

Step-by-step explanation:

       We will divide the total number of candy bars by the portions.

3 candy bars / 8 portions = [tex]\frac{3}{8}[/tex]

                     Each friend will receive [tex]\frac{3}{8}[/tex] of the 3 candy parts

Answer:

Fraction: 5/8
Radians: 5pi/4 Radians
Step-by-step explanation:

1A Fraction
A circle has a total of 360 degrees, in order to solve the first part we must use this preknowledge.
As we are given 255 degrees, we simply order a fraction:
Degrees Given/360 Hence,

255/360

Simplify

5/8
1B Radians

In order to convert degrees to radians we use a simple trick, we must multiply the degree measure (225) by pi/180 because a full circle = 2pi radians or 360 degrees hence,

225 x pi/180

Simplify

5pi/4 radians

Answer:

r=20

d=40

40*3.14=125.6

circumference = 125.6

Step-by-step explanation:

Answer: 102 copies

Step-by-step explanation:

4 minutes and 15 seconds are 4.25 minutes, so it will make 102 copies in that time

Answer:

x = 4

Step-by-step explanation:

When you have a coefficent in front of a logarithm function, you can take the argument to the power of that coefficient. For example, the 3 in front of the logarithm can be brought into the argument, and you can take 'x' to the third power. You get:

[tex] log_{4}( {x}^{3} ) = log_{4}(32) + log_{4}(2) [/tex]

When you add logarithms, it is equivalent to multiplying their arguments:

[tex]log_{4}( {x}^{3} ) = log_{4}(32 \times 2) = log_{4}(64) [/tex]

Since both sides are log base 4, the arguments must equal each other:

[tex] {x}^{3} = 64[/tex]

[tex]x = \sqrt[3]{64} = 4[/tex]

here it is, this is ur answer x=4

Answer: 960^3 cm or 960 cubic centimeters

Step-by-step explanation:

Cubic because measuring 3 dimensions.

32x45 = area of given face

32x45= 1440

height of water = 10 cm

so,

area of given face x 10 =

32x45x10 or lxwxh (Volume)

so

1440x10= 14,400

1440x8= 11,520

so 14,400 - 11,520 = 2880

V of three plants = 2880

so, 2880/3 = volume of one plant

2880/3=960

V of singe plant = 960 units ^ 3

The difference in volumes represents the total volume of three plants, so answer should be divided by 3.

Hope This Helped!

Answer:  one plastic water plant volume =  960 cm³

Step-by-step explanation:

Total volume = Water Volume + 3 plants volume

Total Volume = 32 cm x 45 cm x 10 cm = 14 400 cm³

Water volume = 32 cm x 45 cm x 8 cm = 11 520 cm³

3 Plants volume = 14,400 cm³ - 11,520 cm³ = 2880 cm³

1 Plant volume = 2,880 cm³ : 3 = 960 cm³

1. 60% can be written as 60/100, simplified as 3/5
2. 2/5 is 40/100, can be written as 40%
3. 1/3 is 33.33333...% -> 0.(3) [ infinite recurring decimals if i remember  correctly]
4. 250 here is the base (original number)
5. 48/100 can be written as 48% -> 0.48
6. base
7. percentage
8. 300
9. 24%
10. portion
11. (i dont know what this mean, next time write it more carefully)
12. percentage

Answer:

c

Step-by-step explanation:

Answer:

its C bro i dont copy her/he

dont be suspiciousful

Step-by-step explanation:

ita right mark me as brainlest

Answer:

16 feet

Step-by-Step Explanation:

If you graph it, the vertex will be (3,16) and that means 16 feet is the maximum height of the diver.

We can conclude from the slope intercept result, the equation with no x-intercept is  C) y=0x + 3,    D) y=0,    E) y=5

In mathematics, the slope-intercept form of a linear equation is an equation of the form y = mx + b, where m is the slope of the line and b is the y-intercept, which is the point on the line where it intersects the y-axis.

Because it allows you to easily view the line and identify its slope and y-intercept, the slope-intercept form is a useful way to describe a line's equation. The slope of the line denotes its steepness, while the y-intercept indicates where the line intersects the y-axis.

The x-intercept of an equation is the point at which the equation's graph intersects the x-axis. When the value of y is zero, something happens. As a result, an equation lacks an x-intercept horizontal line that does not intersect the x-axis.

C) y=0x + 3 (A horizontal line with a y-intercept of 3 that does not cross the x-axis.)

D) y=0 (This is a horizontal line that passes through the origin but does not intersect the x-axis.)

E) y=5 (This is a horizontal line that passes through (0,5) but does not cross the x-axis.)

F) y=3x+0 (This is a straight line travelling through the origin and does cross the x-axis) (This is a straight line passing through the origin and does cross the x-axis)

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Answer:

C and E

Step-by-step explanation:

because i did the assignment and got it right

Answer:

x = 8

Step-by-step explanation:

Use the Intersecting Chords Theorem...

Answer:

Vertex = (1.4375, 37.0625)

Axis of symmetry:  t = 1.4375

x-intercept: (2.9595, 0)

y-intercept: (0, 4)

another point: (2, 32)

Step-by-step explanation:

Given function:  [tex]h(t)=-16t^2+46t+4[/tex]

(where h is the height in feet and t is the time in seconds)

The vertex is the turning point of the parabola.

To find the x-value of the turning point, differentiate the function:

[tex]\implies h'(t)=-32t+46[/tex]

Set it to zero:

[tex]\implies h'(t)=0[/tex]

[tex]\implies -32t+46=0[/tex]

Solve for t:

[tex]\implies 32t=46[/tex]

[tex]\implies t=\dfrac{23}{16}[/tex]

Input found value of t into the function to find the y-value of the vertex:

[tex]\implies h(\frac{23}{16})=-16(\frac{23}{16})^2+46(\frac{23}{16})+4=\dfrac{593}{16}[/tex]

Therefore, the vertex is [tex]\left(\dfrac{23}{16},\dfrac{593}{16}\right)[/tex] or (1.4375, 37.0625) in decimal form.

The axis of symmetry is the x-value of the vertex.

[tex]\implies \textsf{Axis\:of\:Symmetry}:t=\dfrac{23}{16}=1.4375[/tex]

To find the x-intercepts, use the quadratic formula.

Quadratic Formula

[tex]x=\dfrac{-b \pm \sqrt{b^2-4ac} }{2a}\quad\textsf{when}\:ax^2+bx+c=0[/tex]

[tex]\implies t=\dfrac{-46 \pm \sqrt{46^2-4(-16)(4)} }{2(-16)}[/tex]

[tex]\implies t=\dfrac{-46 \pm \sqrt{2372}}{-32}[/tex]

[tex]\implies t=\dfrac{23 \pm \sqrt{593}}{16}[/tex]

As time is positive,

[tex]\implies t=\dfrac{23 + \sqrt{593}}{16}=2.959474458...\:\sf s\quad only[/tex]

The y-intercept is when t = 0:

[tex]h(0)=-16(0)^2+46(0)+4=4[/tex]

So the curve intercepts the y-axis at (0, 4)

Because of the modelling of the function, there will be a restricted domain:  0 ≤ t ≤ 2.9595

Therefore, to find another point, input a value in the domain into the function and solve:

[tex]t=2 \implies h(2)=-16(2)^2+46(2)+4=32[/tex]

⇒ (2, 32)

Answer:

Step-by-step explanation:

[tex]\frac{x^{2}+mx+n }{9-x^{2} } /\frac{x^{2} +6x-16}{x^{2} +px+q} = \frac{-x+3}{x+8}[/tex]

Change the division of the two fractions in to multiplication

[tex]\frac{x^{2}+mx+n }{9-x^{2} } * \frac{x^{2} +px+q}{x^{2} +6x-16} = \frac{-x+3}{x+8}[/tex]

Factor what we can

[tex]\frac{x^{2}+mx+n }{(3-x)(3+x)} * \frac{x^{2} +px+q}{(x-2)(x+8)} = \frac{(3-x)}{x+8}[/tex]

Cross multiply and simplify (x+8)/(x+8)

(x² +mx +n) (x² +px +q) = (x -3) (x -3) (x +3)( x -2)

Now we look to see what values for m, n, p, and q will give those factors.

m= 1 n= 2 p= 3 q= 4

(x² +x +2) (x² +3x +4) ≠ (x -3) (x -3) (x +3)( x -2) ❌

m= 1 n= -6 p= -6 q= 9

(x² +x -6) (x² -6x +9) = (x+3)(x-2) (x-3)² ✅

m= -5 n= 6 p= 0 q= -9

(x² -5x +6) (x² -9)  = (x-3)(x-2)(x-3)(x+3)✅

m= 7 n= -4 p= 2 q= 0

(x² +7x -4) (x² +2x)  ≠ (x-3)(x-2)(x-3)(x+3)❌

m= 3 n= -6 p= 1 q= 7

(x² +3x -6) (x² +x+7) ≠(x-3)(x-2)(x-3)(x+3)❌

m= -6 n= 9 p= 1 q= -6

(x² -6x +9) (x² +x -6) =  (x-3)(x-3)(x-2)(x+3)✅

m= 0 n= -9 p= -5 q= 6

(x² -9) (x² -5x +6) ≠(x-3)(x-3)(x+3)(x-2)❌

Answer: B) 86°

Step-by-step explanation:

The angles of a triangle always add to equal 180.

So let's call the third angle x and add the other two angles with it.

32+62+x=180

94+x=180

Now we solve for x

Subtract 94 from both sides

94-94+x=180=94

x=86

Answer

not to sure but i think its number 3

Step-by-step explanation:

Answer:

c

Step-by-step explanation:

Answer:

2 1/6

Step-by-step explanation:

13/6 is 6/6 + 6/6 + 1/6... each 6/6 = 1 sooo. 2 and 1/6 :)

orrr

6*2 is 12 (closest multiple of 6 to 13, so 2 is whole number w/ 1(/6) as a remainder