I attempted this but I was incorrect. Help?

Answers

Answer 1

Answer: we need the height of the cone
what we do is we know that when height is 10, V=something, so solve for the diameter is at that point and compare it to 24, the full height
sorry if confusing

V=(1/3)hpir^2
when h=10
160pi/3=1/3(10)pir^2
ties 3 both sides
160pi=10pir^2
divide by 10pi
16=r^2
sqrt both sides
r=4

at that point, the radius is 4
the real radius of the ful is 24/2=12
4/12=1/3
it is 1/3 full

if 1/3=160pi/3cm
2/3=320pi/3cm^3

needs 320pi/3 cm^3

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Which function has a range of {y|y ≤ 5}?f(x) = (x – 4)^2 + 5

f(x) = –(x – 4)^2 + 5

f(x) = (x – 5)^2 + 4

f(x) = –(x – 5)^2 + 4

Answers

range is ouput
testing limints
basically see the vertices
y=a(x-h)^2+k
(h,k) is vertex

also, when a is negative, graph opens down
when a is positive, graph opens up

y<5
k musbe 5

eliminate last 2

since less than, must open down
negative a
second one

f(x)=-(x-4)^2+5 is ansre

Answer:

f(x)=-(x-4)^2+5

Step-by-step explanation:

Desmos graphing calculator is a very good help for these type of graphing calculations.

If a slope of a line is 2/0 is it 0 or undefined?

Answers

It's undefined. When you have a slope as a fraction, it's "rise over run". The line rises two but runs zero, so it's a vertical line. If it were 0/2, that would be a horizontal line, aka 0 slope

Answer: Undefined

It is impossible to divide by zero, so it is undefined.

Two systems of equations are shown below:System A:
6x+y=2
-x-y=-3
System B:
2x-3y=-10
-x-y=-3
Which of the following statements is correct about the two system equations?

A) The value of x for System B will be 4 less than the value of x for System A because the coefficient of x in the first equation of System B is 4 less than the coefficient of x in the first equation of System A.

B) They will have the same solution because the first equations of both the systems have the same graph.

C) They will have the same solution because the first equation of System B is obtained by adding the first equation of System A to 4 times the second equation of System A.

D) The value of x for System A will be equal to the value of y for System B because the first equation of System B is obtained by adding -4 to the first equation of System A and the second equations are identical.

Answers

System A:
6x + y = 2
-x - y = -3

System B:
2x - 3y = -10
-x-y = -3

Solve:
System A:
6x + y = 2
y = 2 - 6x
-x - (2-6x) = -3
-x - 2 + 6x = -3
5x = -3 + 2
5x = -1
x = -1/5
y = 2 - 6(-1/5)
y = 2 + 6/5
y = 2 + 1.2
y = 3.2 System A: x = -1/5 or -0.2 ; y = 3 1/5 or 3.2

System B:
2x - 3y = -10
2x = -10 + 3y
x = -5 + 1.5y
-x - y = -3
-(-5 + 1.5y) -y = -3
5 - 1.5y - y = -3
-2.5y = -3 - 5
-2.5y = -8
y = 3.2
x = -5 + 1.5(3.2)
x = -5 + 4.8
x = -0.2 System B: x = -0.2 ; y = 3.2

B) They will have the same solution because the first equations of both the systems have the same graph.

Answer: I just took the test and got it wrong when I put B, the correct answer is C.

Step-by-step explanation:

I am a little confused: One method you can use to determine whether a triangle is a right triangle, given three side lengths, is to apply the converse of the Pythagorean Theorem. Alternately, you can use trigonometric ratios. Show that the triangle in the diagram is a right triangle by using trigonometric ratios. ( Be sure to show all work/and or reasoning.

Answers

Answer with explanation:

The triangle in the Diagram Described has following measurement:

Longest Side = 65 units

One side which can be either Perpendicular or base = 63 units

And , other side which can be also, either Perpendicular or base = 16 units

We can prove that the triangle described is right triangle by two ways.

1. Using Converse of Pythagorean Theorem

Square of Longest side = Sum of Squares of other two sides-----(1)

So, Square of Longest Side = 65²=4225

Sum of Square of other two sides = 16² + 63²

= 256 + 3969

= 4225

Statement (1), is valid.

So,Triangle is right angled triangle, right angled at A.

2. using Trigonometric Ratios

Suppose the triangle is right Angled at A.

In Right triangle B AC

$tan B=\frac{\text{Perpendicular}}{\text{Base}}\n\ntan B=(16)/(63)\n\ntan C=(63)/(16)\n\n tan(B +C)=(tan B + tan C)/(1-tan B * tanC)\n\ntan (B +C)=((16)/(63)+(63)/(16))/(1-(16)/(63)* (63)/(16))\n\ntan (B +C)=\frac{\text{Any rational number}}{0}\n\ntan (B +C)=\infty\n\nB +C=90^(\circ)\n\n \text{Using the trigonometric Identity},tan(A+B)=(tan A +tan B)/(1-tan A*tan B)$

B +C =90°

Also,→ ∠A + ∠B + ∠C=180°≡ (Angle sum property of triangle)

→∠A +90°=180°

→∠A=180° -90°

→∠A=90°

So, triangle is right Angled triangle , Right angled at A.

Hence ,proved.

Trigonometric ratios are sine, cosine, and tangent (opposite side over hypotenuse, adjacent side over hypotenuse, and opposite side over adjacent side, respectively); if you wanted to prove that one of the angles of the triangle is 90º, then the cosine of that angle would be 0, the sine would be 1, and the tangent would be undefined.

A cookie recipe calls for 2 3/3 cups of flour. If Ricky wants to make 1 1/2 times the recipe. How much flour does he need?

Answers

To find out how much flour Ricky needs, we first need to find 1 1/2 times the amount of flour in the original recipe.

2 3/3 cups of flour is the same as 8/3 cups of flour.

To find 1 1/2 times the amount of flour in the original recipe, we can multiply 8/3 by 1 1/2:

8/3 x 3/2 = 24/6 + 4/6 = 28/6

So 1 1/2 times the amount of flour in the original recipe is 28/6 cups of flour.

To find out how much flour Ricky needs, we can multiply this amount by 1 1/2:

28/6 x 3/2 = 84/12 + 18/12 = 102/12

So Ricky needs 102/12 cups of flour, which simplifies to 8 1/2 cups of flour.

PLEASE HELP Write an equation in standard form of the line that passes through the given point
and has the given slope.
1. (2,-4); m= 2/3
2. (5, -3); m - 2
3. (6,0); m= 3/4
4. (-1, 2); m - 7
5. (-3,-5), m=13
6. (4,0); m - -5

Answers

Answer:

the answers are all in the picture

Step-by-step explanation:

Lmk if you need more explaining :)

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