what is the volume of the frustrum

Answer:

Step-by-step explanation:

Equation of a line is y = mx + c

where

m is the slope

c is the y intercept

To find an equation of a line given two points first find the slope / gradient

Slope of the line using points (-1,4) and (-2,2) is

[tex]m = \frac{2 - 4}{ - 2 + 1} = \frac{ - 2}{ - 1} = 2[/tex]

So the equation of the line using point (-1,4) is

Hope this helps you

Answer:

3.14

Step-by-step explanation:

Answer:

The answer is A: x + 0

Step-by-step explanation:

I got it correct on Edge. Please give 5 stars and have a great day! :)

The translation of the x-coordinate is written as x⇒0 for the triangle ABC.

A translation in mathematics moves a shape left, right, up, or down but does not turn it. The translated (or image) shapes appear to be the same size as the original shape, indicating that they are congruent. They've just moved in one or more directions.

A coordinate system is a two-dimensional number line, such as two perpendicular axes. This is an example of a typical coordinate system: The horizontal axis is referred to as the x-axis, and the vertical axis is referred to as the y-axis.

Given that on a coordinate plane, triangle A B C has shifted 6 units up. The x translation for the triangle is zero.

The x-coordinate translation is written as,

x ⇒ 0

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Answer:

Hey there!

The ratio of ducklings to adult ducks is 5:1.

This means for every six ducks, five are ducklings and one is an adult.

If there are 24 ducks, then 5 times 4 = 20 ducklings and 4 adults.

Thus, there are 20 ducklings.

Hope this helps :)

Answer:

20 ducklings.

Step-by-step explanation:

Answer:

4>Y>-2 :) ..............

Answer:

[tex]\boxed{-2 < y \leq 4}[/tex]

Step-by-step explanation:

For y is no greater than 4, it would be either less than or equal to 4. So, the inequality for it would be:

y ≤ 4

Now, the inequality for y more than -2:

-2 < y

Combining the inequality:

-2 < y ≤ 4

Answer:

'll tell you where the problem lies - it is IMPOSSIBLE to form triangles like this.

If the perimeter of the smallest triangle is 6 and one side is 3, then the sum of the other two sides can only be 6 - 3 = 3

One property to enable you to form a triangle is that NO ONE SIDE can be greater or equal to the sum of the other two sides. In the smallest triangle 1 side of length 3 equals the other two sides.

In the middle triangle one side of length "4" equals the sum of the other two sides and

In the large triangle one side of length "5" equals the other two sides.

Therefore when I say "triangle" above I am not actually correct because it is IMPOSSIBLE to form triangles with those dimensions of 1 side and with those perimeters

Answer:

E

Step-by-step explanation:

The equation of a line passing through the origin is

y = mx ( m is the slope )

Calculate m using the slope formula

m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]

with (x₁, y₁ ) = (0, 0) and (x₂. y₂ ) = (8, 2) ← 2 points on the line

m = [tex]\frac{2-0}{8-0}[/tex] = [tex]\frac{2}{8}[/tex] = [tex]\frac{1}{4}[/tex]

y = [tex]\frac{1}{4}[/tex] x → E

Answer:

y=1/4x

Step-by-step explanation:

because its the answer

Answer:

17.

Step-by-step explanation:

f(x) = 2x^2 - 1

f(-3) = 2(-3)^2 - 1

= 2 * 9 - 1

= 18 - 1

= 17

Hope this helps!

Hope it will help u....

Answer:

Hey there!

Angle 6 and angle 7 are actually supplementary angles, which are angles that add to 180 degrees.

Complementary angles are angles that add to 90 degrees.

Hope this helps :)

Answer:

∠6 & ∠7 are not complementary angles

Step-by-step explanation:

∠6 & ∠7 are supplementary angles on a line

Answer:

It's the first option

Step-by-step explanation:

The Midsegment Theorem states that the segment connecting the midpoints of two sides of a triangle (in this case AB and  AC) is parallel to the third side (BC) and half as long.

Step-by-step explanation:

It is given that,

Volume of the cylindrical can 1 is 2 litres and that of cylindrical can 2 is 6.75 litres. The diameter of the smaller can is 16 cm. We need to find the diameter of the larger can.

The formula of the volume of a cylinder is given by :

[tex]V=\pi r^2h[/tex]

So,

[tex]\dfrac{V_1}{V_2}=\dfrac{r_1^2}{r_2^2}[/tex]

Diameter, d = 2r

[tex]\dfrac{V_1}{V_2}=\dfrac{(d_1/2)^2}{(d_2/2)^2}\\\\\dfrac{V_1}{V_2}=(\dfrac{d_1^2}{d_2^2})[/tex]

V₁ = 2 L, V₂ = 6.75 L, d₁ = 16 cm, d₂ = ?

[tex]\dfrac{2}{6.75}=(\dfrac{16^2}{d_2^2})\\\\d_2=29.39\ cm[/tex]

So, the diameter of the larger can is 29.39 cm.

Step-by-step explanation:

The square root of 5 can be approximately found by doing the square root of 4 to get 2, and the square root of 9 to get 3.  Then, because 5 is closer to 4 than 9, the square root of 5 is about 2.2.

Otherwise, simply do sqrt(5) in a calculator to get 2.23606798

Hope it helps <3

Answer:

the first one (in quadrant 1, pointing upwards)

Step-by-step explanation:

since the function is positive the graph will be facing upwards and start off at 1

Answer:  C) A = 6, B = -15

Step-by-step explanation:

In order to have infinitely many solutions, you must end up with 0 = 0 when adding the equations together.

 4x  -  Ay  =  15

-4x  + 6y  =  B  

    (6 - A)y = 15 + B

       ↓               ↓

  6 - A = 0      15 + B = 0

        6 = A             B = -15

Answer:

C

Step-by-step explanation:

TOOK THE TEST

Answer: 1080 degrees

Hoped this helped :)

Answer:

y = 0

Step-by-step explanation:

Given

f(x) = [tex]\frac{3}{x-2}[/tex]

The degree of the numerator is zero 0 (  3[tex]x^{0}[/tex] )

The degree of the denominator is 1

Since the degree of denominator > degree of numerator.

Then there is a horizontal asymptote at y = 0

Answer:  39) 1              40) 2

                41) 1              42) 0

Step-by-step explanation:

39)     ∠A = ?        ∠B = ?       ∠C = 129°

            a = ?          b = 15         c = 45

Use Law of Sines to find ∠B:

[tex]\dfrac{\sin B}{b}=\dfrac{\sin C}{c} \rightarrow\quad \dfrac{\sin B}{15}=\dfrac{\sin 129}{45}\rightarrow \quad \angle B=15^o\quad or \quad \angle B=165^o[/tex]

If ∠B = 15°, then ∠A = 180° - (15° + 129°) = 36°

If ∠B = 165°, then ∠A = 180° - (165° + 129°) = -114°

Since ∠A cannot be negative then ∠B ≠ 165°

∠A = 36°        ∠B = 15°       ∠C = 129°       is the only valid solution.

40)      ∠A = 16°        ∠B = ?       ∠C = ?

             a = 15           b = ?         c = 19

Use Law of Sines to find ∠C:

[tex]\dfrac{\sin A}{a}=\dfrac{\sin C}{c} \rightarrow\quad \dfrac{\sin 16}{15}=\dfrac{\sin C}{19}\rightarrow \quad \angle C=20^o\quad or \quad \angle C=160^o[/tex]

If ∠C = 20°, then ∠B = 180° - (16° + 20°) = 144°

If ∠C = 160°, then ∠B = 180° - (16° + 160°) = 4°

Both result with ∠B as a positive number so both are valid solutions.

Solution 1:  ∠A = 16°        ∠B = 144°       ∠C = 20°    

Solution 2:  ∠A = 16°        ∠B = 4°       ∠C = 160°    

41)       ∠A = ?        ∠B = 75°       ∠C = ?

             a = 7           b = 30         c = ?

Use Law of Sines to find ∠A:

[tex]\dfrac{\sin A}{a}=\dfrac{\sin B}{b} \rightarrow\quad \dfrac{\sin A}{7}=\dfrac{\sin 75}{30}\rightarrow \quad \angle A=13^o\quad or \quad \angle A=167^o[/tex]

If ∠A = 13°, then ∠C = 180° - (13° + 75°) = 92°

If ∠A = 167°, then ∠C = 180° - (167° + 75°) = -62°

Since ∠C cannot be negative then ∠A ≠ 167°

∠A = 13°        ∠B = 75°       ∠C = 92°       is the only valid solution.

42)      ∠A = ?         ∠B = 119°       ∠C = ?

             a = 34         b = 34           c = ?

Use Law of Sines to find ∠A:

[tex]\dfrac{\sin A}{a}=\dfrac{\sin B}{b} \rightarrow\quad \dfrac{\sin A}{34}=\dfrac{\sin 119}{34}\rightarrow \quad \angle A=61^o\quad or \quad \angle A=119^o[/tex]

If ∠A = 61°, then ∠C = 180° - (61° + 119°) = 0°

If ∠A = 119°, then ∠C = 180° - (119° + 119°) = -58°

Since ∠C cannot be zero or negative then ∠A ≠ 61° and ∠A ≠ 119°

There are no valid solutions.

Answer:

B

Step-by-step explanation:

It helps if you have the figure included. However, since it is not, we can assume that she has gone around the circle with all six sides of the hexagon is set to PR.

That makes the hexagon with 6 equal sides. It also makes each triangle using one of the sides equal to PR. The radii are all equal. There are 6 triangles making up the hexagon.

Both statements she makes are true and that makes B the answer.

Answer:

y is x because if x+y is 2x then y must equal x

The sum of x and y is twice x. Then the value of y will be equal to x.

Expression in maths is defined as the collection of the numbers variables and functions by using signs like addition, subtraction, multiplication, and division.

Numbers (constants), variables, operations, functions, brackets, punctuation, and grouping can all be represented by mathematical symbols, which can also be used to indicate the logical syntax's order of operations and other features.

It is given that sum of x and y is twice x. Then the value of y will be calculated as below:-

x + y = 2x

y = 2x - x

y = x

Therefore, the sum of x and y is twice x. Then the value of y will be equal to x.

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Answer:

The length of arc is (7/12)π cm.

Step-by-step explanation:

Given that the formula to find the length of arc is Arc = (θ/360)×2×π×r where θ represents degrees and r representa radius. Then you have to substitute the following values into the formula :

[tex]arc = \frac{θ}{360} \times 2 \times \pi \times r[/tex]

[tex]let \: θ = 30 \\ let \: r = 3.5[/tex]

[tex]arc = \frac{30}{360} \times 2 \times \pi \times 3.5[/tex]

[tex]arc = \frac{1}{12} \times 7 \times \pi[/tex]

[tex]arc = \frac{7}{12} \pi \: \: cm[/tex]

Answer:

p = 1

Step-by-step explanation:

Given that the system intersect at (4, q) then this point satisfies both equations, that is

q = 4² - 4(4) + 3

q = [tex]\frac{1}{2}[/tex] (4) + p

Equating both gives

16 - 16 + 3 = 2 + p, that is

3 = 2 + p ( subtract 2 from both sides )

p = 1

Answer: [tex]h(x)=10(0.4)^x[/tex]

Step-by-step explanation:

The exponential function h, represented in the table, can be written as [tex]h(x)=ab^x[/tex]

From table, at x=0, h(x) =10

Put theses values in equation,, we get

[tex]10=a.b^0\\\\\Rightarrow\ 10= a (1)\\\\\Rightarrow\ a= 10[/tex]

Also, for x= 1 , h(x) = 4, so put these values and a=10 in the equation , we get

[tex]4=10b^1\\\\\Rightarrow\ b=\dfrac{4}{10}\\\\\Rightarrow\ b= 0.4[/tex]

Put value of a and b in the equation ,

[tex]h(x)=10(0.4)^x[/tex]  →  Required equation.

Answer:

6 to the north

Step-by-step explanation:

mark as brainliest

24 and 16

Step-by-step explanation:

let's assume two part be x and (40 - x)

According to Question,

[tex] x\dfrac{1}{4} = (40 - x) \dfrac{3}{8} [/tex]

[tex] x= \dfrac{3(40 - x)}{2} [/tex]

[tex]2 \times x = 120 - 3x [/tex]

[tex]2x + 3x = 120[/tex]

[tex]5x = 120[/tex]

[tex] \cancel{5}x= \cancel{120}[/tex]

[tex]x = 24[/tex]

Hence one part is 24 and other is (40 - 24) = 16 .

Answer: 24 and 16

Step-by-step explanation:

Answer:

10 cookies

Step-by-step explanation:

10 x 3 = 30

15 x 2 = 30

30 + 30 = $60

The number of cookies sold by Linda will be 10 cookies.

Expression in maths is defined as the collection of the numbers variables and functions by using signs like addition, subtraction, multiplication, and division.

Numbers (constants), variables, operations, functions, brackets, punctuation, and grouping can all be represented by mathematical symbols, which can also be used to indicate the logical syntax's order of operations and other features.

Given that Linda sells cookies for $2 and hamburgers for $3. She sold 25 items and made $60.

The number of cookies sold by Linda will be calculated as below:-

10 x 3 = 30

15 x 2 = 30

30 + 30 = $60

Therefore, the number of cookies sold by Linda will be 10 cookies.

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Answer:

1.) Zero ( 0 )

2.) 55.47 feet , 8.6 feet

3.) 17.2 feet

Step-by-step explanation:

The height, in feet, of the ball is given by the equation h(x)=−.25x2+4.3x, where x is the number of feet away from the golf club (along the ground) the ball is.

1.) Since the equation has no intercept,

The ball will start zero feet above the ground.

2.) The distance of the ball at the maximum height will be achieved by using the formula

X = -b/2a

Where b = 4.3, a = -0.25

Substitutes both into the formula

X = -4.3 / 2( - 0.25 )

X = - 4.3 / - 0.5

X = 8.6 feet

Substitute X into the function to get the maximum height

h(x) = −.25(8.6)^2 + 4.3(8.6)

h(x) = 18.49 + 36.98

h(x) = 55.47 feet

3) As the ball returns to the ground, the height will be equal to zero, therefore,

0 = -0.25x^2 + 4.3x

0.25x^2 = 4.3x

X = 4.3/0.25

X = 17.2 feet

The ball returns to the ground at about 17.2 feet away

Answer: There is sufficient evidence to reject the dealer's claim that the mean price is at least $20,500

Step-by-step explanation:

given that;

n = 14

mean Ж = 19,850

standard deviation S = 1,084

degree of freedom df = n - 1 = ( 14 -1 ) = 13

H₀ : ц ≥ 20,500

H₁ : ц < 20,500

Now the test statistics

t = (Ж - ц) / ( s/√n)

t = ( 19850 - 20500) / ( 1084/√14)

t = -2.244

we know that our degree of freedom df = 13

from the table, the area under the t-distribution of the left of (t=-2.244) and for (df=13) is 0.0215

so P = 0.0215

significance ∝ = 0.05

we can confidently say that since our p value is less than the significance level, we reject the null hypothesis ( H₀ : ц ≥ 20,500 )

There is sufficient evidence to reject the dealer's claim that the mean price is at least $20,500

Answer:

x-y

Step-by-step explanation:

X is greater than y so we are subtracting the smaller number from the bigger number

That means we do not need the absolute value signs since x-y will be positive

|x-y| when x> y

x-y

Using numbers

| 5-2|    5>2

5-2

Answer:

$3750 and $4250

Step-by-step explanation:

x + 500 = y

.045x + .035y = 317.50

.045x + .035(x + 500) = 317.50

.045x + .035x + 17.5 = 317.50

.08x = 300.00

x = 3750

y = 4250

Answer:

y = 15

Step-by-step explanation:

The triangles CAB and CED are similar (Using the case AA), so we can write the following relations:

[tex]\frac{12}{28} =\frac{15}{x}=\frac{y}{35}[/tex]

Using the first two fractions, we can find the value of x:

[tex]\frac{12}{28} =\frac{15}{x}[/tex]

[tex]12x = 28*15[/tex]

[tex]12x = 504[/tex]

[tex]x = 504/12 = 42[/tex]

Using the first and last fractions, we can find the value of y:

[tex]\frac{12}{28} =\frac{y}{35}[/tex]

[tex]28y = 12*35[/tex]

[tex]28y = 420[/tex]

[tex]y = 420/28 = 15[/tex]