What scale factor was used to dilate STUV to S’T’U’V?

A. 0.20
B. 0.50
C. 0.25
D. 0.75

The radius of the water bottle to the nearest hundredth is 2.01 cm

A cylinder is a solid figure with circular bases and height.

The volume of a cylinder = πr²h

h is the height  = 8.1cm

Volume = 103 cubic cm

Substitute into the formula to have
V = 3.14r² * 8.1
103 = 3.144 * 8.1 * r²

r = 2.01 cm

Hence the radius of the water bottle to the nearest hundredth is 2.01 cm

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Answer:

117 in²

Finding the area of the trapezoid:

First, we need to find the area of the trapezoid formed by the dotted lines. The formula for finding the area of the trapezoid is "(a₁ + a₂)h/2".

[Where, a₁ = shorter parallel side; a₂ = longer parallel side]

⇒ (a₁ + a₂)h/2 = Area of trapezoid

⇒ (14 + 26)15/2 = Area of trapezoid

⇒ Area of trapezoid = (40)15/2 = (20)15 = 300 in²

Reviewing on how to find the area of the unshaded region:

To find the area of the shaded region, we need to subtract the area of the unshaded region from the area of the trapezoid. In this case, the unshaded region is a triangle whose base is 26 inches. To find the area of the triangle, we need to use the formula 1/2 x Base x Height. We are given the base, but the height is unknown.

Determining the height:

We are given a small side length "6 inches" and the height of the trapezoid "15 inches". If we subtract the small side length from the height of the trapezoid, we will obtain the height of the triangle.

⇒ Height of trapezoid - Small side length = Height of triangle

⇒ 15 - 6 = Height of triangle

⇒ 9 in = Height of triangle

Determining the area of the unshaded region:

Now, let's substitute the base and the height in the formula to find the area of the triangle

⇒ 1/2 x Base x Height

⇒ 1/2 x 26 x 9

⇒ 13 x 9

⇒ 117 in²

Determining the area of the shaded region:

Finally, let's subtract the area of the unshaded region from the area of the trapezoid to obtain the area of the shaded region.

⇒ Area of trapezoid - Area of unshaded region = Area of shaded region

⇒ 300 - 117 = Area of shaded region

⇒ 183 in² = Area of shaded region

Answer:

The answer is 140 degrees.

Step-by-step explanation:

It is closer to 90 degrees than 180 degrees, but it is greater than 90 degrees and bigger than 180 degrees.

Hope this helps.

Answer:

Step-by-step explanation:

Use a volume formula.

Volume formula:

[tex]\Longrightarrow:\sf{V=L*W*H}[/tex]

Multiply.

[tex]\sf{3*3*3=\boxed{\sf{27}}[/tex]

I hope this helps you! Let me know if my answer is wrong or not.

First, an angle in a triangle is always less than 180.

An obtuse angle is defined to be greater than a right angle, but less than 180. Since angle ABC is not an obtuse angle, its measurement must be 90 degrees or less.

Angle ABC = x + 3x + 30 = 4x + 30
Since we want x to has its greatest value, angle ABC must also have its greatest value ( -> 90)

Now, we find x : (90-30)/4 = 15

So, the greatest value of x is 15. (recheck : 15 + 15 x 3 + 30 = 90)

Answer:

-9

Step-by-step explanation:

-3x+y=-7

-3x+y-2

-7-2=-9

Answer:

0.324 inch

Step-by-step explanation:

When asked to write two hundred thousandths as a decimal, three students gave three different answers as shown below. so you have to find by decimals..

[tex] \tan(60) = \frac{x}{ \sqrt{7} } [/tex]

[tex] \sqrt{3} = \frac{x}{ \sqrt{7} } [/tex]

[tex]x = \sqrt{21} [/tex]

[tex]\frak{\fcolorbox{black}{pink}{Black Pink in your area$~$}}[/tex] ~←(>▽<)ﾉ

Answer:

√21

Step-by-step explanation:

30, 60, 90 triangle

Across from 30 is a, across from 60 is a√3

So, √7√3 is √21

The experimental probability of a blue outcome is its likelihood

The experimental probability of blue is 0.4

The number of trials is given as:

Trials = 5

The outcomes of blue is given as:

Blue = 2

The experimental probability of obtaining a blue outcome is:

P(Blue) = Blue/Trials

This gives

P(Blue) = 2/5

Evaluate the quotient

P(Blue) = 0.4

Hence. the experimental probability of blue is 0.4

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Answer:

5.2

Step-by-step explanation:

a^2+b^2=c^2

Where c is the length of hypotenuse

and a, b are lengths of the legs.

Put in 6 for c,

Put in 3 for a and you get 9+b^2=36

Subtract 9 from both sides and get b^2= 27

Then find the square root of both sides to get b, so the answer is the square root of 27.

The cloest square root is 5, then apporixmate the tenths value and see if they work.

Answer: 5.2

Answer:

square root of 27, 5.2

Step-by-step explanation:

(I know I'm late but-)

3^2+b^2=6^2

9+b^2=36

b^2=27

Answer:

x = 19

Step-by-step explanation:

See attched image.

Answer:

Step-by-step explanation:

Step-by-step explanation:

11

because the first digit after the point make the the nearest whole number

if the digit is up to 5 and above then we can round up the next digit but if it's less than 5 you can't do anything

Answer:

2x + 2

Step-by-step explanation:

x^2 -4x +x +2 =

x^2 -3x +2         now add 2x + 2

The radius of the cylinder is 7 in, the volume of the cone is 452.2 unit³, the volume of the hemisphere is 1436 in³ while the diameter of the sphere is 14.6 units

An equation is an expression that shows the relationship between two or more numbers and variables.

a) Volume of cylinder = π * radius² * height

461.58 = 3.14 * radius² * 3

radius = 7 in

b) Volume of cone = (1/3) * π * radius² * height

Volume = (1/3) * 3.14 * (12/2)² * 12

Volume = 452.2 unit³

c) Volume of sphere = (4/3) π * radius³

Volume of sphere = (4/3) * 3.14 * 7³

Volume = 1436 in³

d) Volume of sphere = (4/3) π * radius³

407.51 = (4/3) * 3.14 * radius³

Radius = 7.3

Diameter = 14.6 units

The radius of the cylinder is 7 in, the volume of the cone is 452.2 unit³, the volume of the hemisphere is 1436 in³ while the diameter of the sphere is 14.6 units

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#SPJ1

[tex]3\times \dfrac 7{12} = \dfrac{3 \times 7}{12}=\dfrac{3 \times 7}{3 \times 4} = \dfrac 74[/tex]

can't really see the graph but it's probably 18

Check the picture below.

notice, the pairs in the Unit Circle are the (cosine , sine) pair, which are equivalent to (x , y) values in a cartesian plane.

Answer:

D on edg 2022

Step-by-step explanation:

Using the normal distribution and the central limit theorem, it is found that the probability is given by:

e. 0.611

The z-score of a measure X of a normally distributed variable with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex] is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

In this problem, the parameters are given as follows:

[tex]\mu = 50, \sigma = 10, n = 9, s = \frac{10}{\sqrt{9}} = 3.3333[/tex]

The probability that this sample mean will be between 48 and 54 is the p-value of Z when X = 54 subtracted by the p-value of Z when X = 48, hence:

X = 54:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

By the Central Limit Theorem:

[tex]Z = \frac{X - \mu}{s}[/tex]

[tex]Z = \frac{54 - 50}{3.3333}[/tex]

Z = 1.2

Z = 1.2 has a p-value of 0.885.

X = 48:

[tex]Z = \frac{X - \mu}{s}[/tex]

[tex]Z = \frac{48 - 50}{3.3333}[/tex]

Z = -0.6

Z = -0.6 has a p-value of 0.274.

0.885 - 0.274 = 0.611, hence option e is correct.

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Answer:

  24

Step-by-step explanation:

The GCD of a set of numbers is the product of the prime factors, each to the lowest of the powers it has as a factor of any of the numbers.

The LCM of a set of numbers is the product of the prime factors, each to the highest of the powers it has as a factor of any of the numbers.

__

The factorizations of the given numbers are ...

  36 = 2^2 × 3^2

  54 = 2 × 3^3

__

  6 = 2 × 3 . . . . . . . . . . . GCD

  216 = 2^3 × 3^3 . . . . . LCM

This tells us the lowest powers of 2 and 3 are 2^1 and 3^1, and the highest powers of 2 and 3 are 2^3 and 3^3. Already, the lowest power of 2 matches the GCD, and the highest power of 3 matches the LCM. What we need is a number with a power of 2 that is 3, and a power of 3 that is 1:

  2^3 × 3^1 = 24

The other number is 24.

Answer:

35.64 km / hour

Step-by-step explanation:

100m = 10.1s

100/10.1 m per second

3600 seconds in a hour

100/10.1 X 3600 = 35643.56436

= 35.64356436 km per hour

Answer:

Interactive

Step-by-step explanation:

Answer:

Step-by-step explanation:

hello :

the circumference is :P=2pi×r=2×3.14×3= .... continu

Answer:

Area=  7.065ft^2

Circumference= 9.42ft

Step-by-step explanation:

The area of a circle is,

area=Pi*r^2

and the circumference,

circumference=2*Pi*r

with r being the diameter/2

so we get,

area=(3.14)(1.5)^2=7.065ft^2

circumference=2(3.14)(1.5)=9.42ft

Answer:

It should be D.

Step-by-step explanation:

Answer:

8

Step-by-step explanation:

Alternate interior angles make b and d equal and A and c are equal. Because of this, ABD=CBD.

AB=CD

Ronnie's purchase is not an example of impulsive buying because he had an intention to buy electronic device Impulsive Buying

Impulsive buying is simply a situation buyers are faced with when they purchase items they do not really need or no intention prior to the time of purchase.

However, in this situation Ronnie purchase is not an example of impulsive buying because he had intention to purchase an electronic device, hence he walked into and electronic store.

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