What is the volume, in cubic in, of a cylinder with a height of 8 in and a base radius of
2 in, to the nearest tenths place?

Answer:

Angle I = 44

Measure GH=7.64

Measure GI=7.91

Step-by-step explanation:

Since we know that m∠H = 46 and m∠G=90, we can find measure angle I by subtracting from 180.

[tex]180=46+90+x\\44=x[/tex]

Since we are given that m∠H = 46, and the triangle is right, we can use trigonometric functions to find the two sides.

First is GH, since it's adjacent to the angle, we will use cosine.

[tex]cos(x)=\frac{adjacent}{hypotenuse} \\cos(46)=\frac{adjacent}{11}\\ 11*cos(46)=adjacent\\7.64=adjacent[/tex]

The same idea as previous, only instead we will use sine since we need to find the opposite.

[tex]sin(x) = \frac{opposite}{hypotenuse}\\ sin(46)=\frac{opposite}{11}\\ 11*sin(46)=opposite\\7.91 = opposite[/tex]

Answer:

a1= -45

an= -5 ⋅ 3^n+1

Step-by-step explanation:

Answer:

  (x-3)(3x-1)/((x-3)(x+2))

Step-by-step explanation:

An equivalent fraction is formed by multiplying or dividing numerator and denominator by the same factor.

__

To get the desired denominator, the given denominator must be multiplied by (x-3). To get the desired numerator of the equivalent fraction, the numerator must also be multiplied by (x-3).

  [tex]\dfrac{3x-1}{x+2}=\boxed{\dfrac{(x-3)(3x-1)}{(x-3)(x+2)}=\dfrac{3x^2-10x+3}{x^2-x-6}}[/tex]

We can classify triangles by their angles and their side lengths.

ANGLES:

---Acute = all angles in the triangle are less than 90 degrees

---Right = one angle in the triangle is equal to 90 degrees

---Obtuse = one angle in the triangle is greater than 90 degrees

SIDE LENGTHS:

---Equilateral = all side lengths of the triangle are the same

---Isosceles = two side lengths of the triangle are the same

---Scalene = no side lengths of the triangle are the same

In the given triangle, it has a right angle, which means that it must be a right triangle. Looking at the side lengths, none of them are the same (presumably), so it is also a scalene triangle.

Answer: right, scalene

Hope this helps!

Answer:

$3.50

Step-by-step explanation:

if you divide 42 by 12 you get 3.5

Answer:

Step-by-step explanation:

The desired formula parameters for Newton's Law of Cooling can be found from the given data. Then the completed formula can be used to find the temperature at the specified time.

__

  [tex]T(t)=T_a+(T_0-T_a)e^{-kt}\\\\T_a=68,\ T_0=208,\ (t,T)=(3,185)[/tex]

  k

  T(4)

Filling in the given numbers, we have ...

  185 = 68 +(208 -68)e^(-k·3)

  117/140 = e^(-3k) . . . . . subtract 68, divide by 140

  ln(117/140) = -3k . . . . . . take natural logarithms

  k = ln(117/140)/-3 ≈ 0.060

__

The temperature after 4 minutes is about ...

  T(4) = 68 +140e^(-0.060·4) ≈ 68 +140·0.787186

  T(4) ≈ 178.205

After 4 minutes, the final temperature is about 178 °F.

[tex]f(1) = 2\\f(2)=f(2-1)^2-5=(f(1))^2-5 = 2^2-5 = -1\\f(3) = f(3-1)^2 - 5=f(2)^2-5=(-1)^2-5=-4\\f(4) = f(4-1)^2-5 = f(3)^2-5 = (-4)^2-5 = 11[/tex]

so f(4) = 11

Hope that helps!

Answer:

f(4) = 11

Step-by-step explanation:

Given :

Solving :

Answer:

C. (5, 1)

Step-by-step explanation:

Because the slope of F and G is 2, we know that the other points with the same distance are also going to have a slope of ±2. The only answer choice that fits this criteria is C

Hope this helps!

43

so sorry if this is incorrect.

The percentage of 8th graders estimated they spend more than an hour a day on social media is 43%.

The percentage is defined as a ratio expressed as a fraction of 100.

A survey asked random sample of students if they estimated they spent more or less than an hour a day on social media.

       more   less

7th    12        14

8th    20      26

To determine the percentage of 8th graders who estimated they spend more than an hour a day on social media, we need to divide the number of students who answered "more" by the total number of 8th-grade students surveyed and then multiply by 100 to get the percentage.

20 students out of 46 students (20+26) answered "more" which is about 43.48%

Thus, the percentage of 8th graders estimated they spend more than an hour a day on social media is 43%.

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Answer:

Step-by-step explanation:

arc length= central length/360 (circumference)

GJ=90/360 (2π20)

GJ= 31.42

31.42

The length of arc GJ is 11.5133 unit.

In geometry, the arc length refers to the length of a portion of a curve or an arc of a circle. It is the distance along the curve between two endpoints of the arc.

We have,

m <GHJ = 66 and GH = 10 unit

Now, using arc length formula

= nπr / 180

= 66 x 3.14 x 10/ 180

= 11.5133 unit

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Answer:

[tex]g(g(x)) = {x}^{4} + 14 {x}^{2} + 56 [/tex]

[tex]h(h(x)) = x[/tex]

Step-by-step explanation:

[tex]g(x) = {x}^{2} + 7[/tex]

[tex]g(g(x)) = {( {x}^{2} + 7)}^{2} + 7 [/tex]

[tex]g(g(x)) = {x}^{4} + 14 {x}^{2} + 49 + 7 = {x}^{4} + 14 {x}^{2} + 56 [/tex]

[tex]h(x) = \frac{5}{9x} [/tex]

[tex]h(h(x)) = h( \frac{5}{9x} )[/tex]

[tex]h(h(x)) = \frac{5}{9( \frac{5}{9x} )} = \frac{5}{ \frac{5}{x} } = 5( \frac{x}{5}) = x [/tex]

The total area of the face of the watch to the nearest tenth of a square centimemter is 9.0 cm²

Since an electronics company is designing a watch with a face that is in the shape of a hexagon and two congruent trapezoids attached. The heights of the trapezoids and the apothem of the hexagon measure 2 centimeters each, and the length of the shorter base of each trapezoid is 1.5 centimeters, the radii of the hexagon, and the base of the trapezoid form a triangle of

So, the area of this triangle is A = 1/2bh

= 1/2 × 1. 5 cm × 2 cm

= 1.5 cm × 1 cm

= 1.5 cm²

Since there are 6 of such triangles in the hexagon, the area of the hexagon, A' = 6A

= 6 × 1.5 cm²

= 9.0 cm²

So, the total area of the face of the watch to the nearest tenth of a square centimemter is 9.0 cm²

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Answer:

a no association b non liner c liner d liner

Answer:

A) No association
B) Nonlinear
C) Linear
D) Nonlinear

Step-by-step explanation:

Linear Relationship: A linear relationship is one in which the scatter plot resembles a straight line. When one variable increases, the other variable increases or decreases proportionally.

Nonlinear Relationship: A nonlinear relationship is one in which the scatter plot does not resemble a straight line. It could resemble a curve or it could not resemble anything at all. A proportional increase or decrease in one variable does not result in a proportional rise or decrease in the other variable.

No Association: a graph of data showing discrete (individual) points of data that are not connected.

Using these definitions we can conclude whether the graphs are linear, nonlinear, or no association.

Answer:

(x-4) (x-1)

Step-by-step explanation:

X-4=0

x=4

X-1=0

X=1

Answer:

2a+7b+4

Step-by-step explanation:

collect like terms:

4a-2a=2a

8-4=4

then put the equation back together

y = 5(x) + 4

for this function,

5=5(x)-3

for this function,

Answer:

7

Step-by-step explanation:

As it is a RIGHT triangle, the formula is a^2+b^2=c^2.

We are given one leg and the hypotenuse. That means 4^2x2+b^2=81.

To find 4 root 2 square, you square them individually then multiply.

4^2=16 times 2 (root 2 squared is 2).

Simplified, that gives 16x2=32,

81-32=49.

The last leg is seven.

Step-by-step explanation:

This is a cyclic quadrilateral, so angles E and P are supplementary.

Since angle P is 100 degrees, angle E is 180-100=80 degrees.

Applying the relation between speed, distance and time, we made distance subject of formula hence the expression for distance is

d = 25*h

Given Data

We know that the expression showing the relationship between speed, distance and time is given as

Speed = Distance/Time

Substituting our given data we have

25 = d/h

Making distance subject of formula we have

25*h = d

d = 25*h

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Answer:

Final answer -

[tex]equation \: of \: such \: line \dashrightarrow \: y = - 5x + b \\ [/tex]

hope helpful :D

Answer:

99 degrees.

Step-by-step explanation:

m < 8 = 99   (corresponding angles are congruent).

Answer:

x^2 + y^2 = 12

Step-by-step explanation:

For a circle with the center at the origin [(h,k) is (0,0)]

use the formula:

x^2 + y^2 = r^2

In this case r is 2sqroot3.

(2sqroot3)^2 is 12.

2•2•sqrt3•sqrt3

= 4•3

= 12

So we get,

x^2 + y^2 = 12

The correct answer would be- A: 2.18

Prime

Hope it helps.

Do comment if you have any query.

Answer:

prime

Step-by-step explanation:

I tried to delete my answer

Answer:

75 seconds to run 180 meters

Step-by-step explanation:

(180m) / (2.4m/s) = 75 seconds

75 seconds to run 180 meters, but if we take into consideration the initial 39 seconds, then the total time it took to run (75s + 39s) was 114 seconds.

The question didn't explicitly ask the total time it took, but the time it took to run 180 meters.

Answer:

1/6 i think

Step-by-step explanation:

The equation x² - 6x = 8 is equivalent to the equation (x - 3)² = 17. Then the correct option is A.

The equivalent is the expression that is in different forms but is equal to the same value.

The definition of simplicity is making something simpler to achieve or grasp while also making it a little less difficult.

The equation is given below.

x² - 6x = 8

Add 9 on both sides, then we have

x² - 6x + 9 = 8 + 9

(x - 3)² = 17

The equation x² - 6x = 8 is equivalent to the equation (x - 3)² = 17. Then the correct option is A.

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