What is the measure of ABC?

Final answer:

The number 65 can be expressed in scientific notation as 6.5 × 10¹, where the original decimal was moved one place to the left.

Explanation:

To express the number 65 in scientific notation, we need to write it as a product of a number between 1 and 10 and a power of 10. Since 65 is a relatively small number, we will have only one digit to the left of the decimal point. We write 65 as 6.5 × 10¹, because we have moved the decimal one place to the left to get the number 6.5, which is between 1 and 10. The exponent on the 10 is positive because the original number was greater than 1.

In sciences like chemistry, scientific notation is frequently used to express large or small quantities. This is also helpful when entering data into a calculator; it's important to know the correct procedure for your particular calculator model. In case of uncertainty, consulting an instructor is advised.

Answer:

A

Step-by-step explanation:

The coordinates of the triangle showing a dilation with a scale factor of 1/3 is (-2, 2), (2, 2) and (2, -2)

Dilation means changing the size of an object without changing its shape. The size of the object may be increased or decreased based on the scale factor.

Given that, on a coordinate plane, triangle A B C has points (-6, 6), (6, 6), (6, -6). It is being dilated with a scale factor of 1/3

Scale factor = Dimension of the new shape ÷ Dimension of the original shape.

Here, we will consider the coordinates in place of dimensions,

Therefore,

Scale factor = coordinates of new figure / coordinates of original figure

Considering the first option = A'(-2, 2), B'(2, 2) and C'(2, -2)

Scale factor = A/A' = 2/6 = 1/3

Hence, the coordinates of the triangle showing a dilation with a scale factor of 1/3 is (-2, 2), (2, 2) and (2, -2)

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Answer:0.44

Step-by-step explanation:

The probability that a vehicle is white, given that the vehicle is a van is 0.4

Probability refers to a possibility that deals with the occurrence of random events.

The probability of all the events occurring need to be 1.

The formula of probability is defined as the ratio of a number of favorable outcomes to the total number of outcomes.

P(E) = Number of favorable outcomes / total number of outcomes

We are given that;

The probability that a vehicle is white=0.25

The probability that it is a van=0.09

The probability that it is a white van=0.04

Now,

To find the probability that a vehicle is white, given that the vehicle is a van, we can use the conditional probability formula, which states that:

P(white | van) = P(white and van) / P(van)

P(white) = 0.25

P(van) = 0.09

P(white and van) = 0.04

Using the multiplication rule of probability, we can write:

P(white and van) = P(white) * P(van | white)

where P(van | white) is the probability of being a van given that it is white. Solving for P(van | white), we get:

P(van | white) = P(white and van) / P(white)

P(van | white) = 0.04 / 0.25

P(van | white) = 0.16

Plugging this into the conditional probability formula, we get:

P(white | van) = (0.25 * 0.16) / 0.09

P(white | van) = 0.04 / 0.09

P(white | van) = 0.4444

Therefore, by probability the answer will be 0.4

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Answer:

4:9 ratio

Step-by-step explanation:

We know that the sides cannot be the same because it is a rectangle, therefore there is a width and length.

For the width, which is the shortest side, we will keep the radius as it is, that is, for rectangle 1 it will be 2 and for rectangle 2 it will be 3.

For the length, which is the longest side, we multiply the radius by two, which means that rectangle 1 will be 4 (2 * 2) and for rectangle 2 it would be 6 (2 * 3)

If we calculate the area it would be:

rectangle 1:

2 * 4 = 8

rectangle 2:

3 * 6 = 18

Which means that the radius is 8/18 = 4/9

What is a 4: 9 ratio

Answer:

B

Step-by-step explanation:

sorry if it is wrong but I think it is right

Answer:

Step-by-step explanation:

Angles A M Y and Y M B form a line. Angles Y M B and B M X form a line. Angles X M A and A M Y form a line.

Choose each angle to complete the linear pairs.

∠AMY and ∠AMX

∠BMY and

✔ ∠AMY

∠BMX and

✔ ∠BMY

∠AMX and

✔ ∠BMX

It is this i got it right on the lesson I am 100% sure thanks

Answer:

2 Pieces

Mostly depends how much slices are there

Step-by-step explanation:

Every element is called half the whole by all equal sections. Similarly, the half fraction is defined as the whole half component of both of the two equivalent sections of the rectangle.

Hope this helps

Answer:

x = 16

Step-by-step explanation:

Simplifying

(9x + -8) + (x + 10) + (x + 2) = 180

Reorder the terms:

(-8 + 9x) + (x + 10) + (x + 2) = 180

Remove parenthesis around (-8 + 9x)

-8 + 9x + (x + 10) + (x + 2) = 180

Reorder the terms:

-8 + 9x + (10 + x) + (x + 2) = 180

Remove parenthesis around (10 + x)

-8 + 9x + 10 + x + (x + 2) = 180

Reorder the terms:

-8 + 9x + 10 + x + (2 + x) = 180

Remove parenthesis around (2 + x)

-8 + 9x + 10 + x + 2 + x = 180

Reorder the terms:

-8 + 10 + 2 + 9x + x + x = 180

Combine like terms: -8 + 10 = 2

2 + 2 + 9x + x + x = 180

Combine like terms: 2 + 2 = 4

4 + 9x + x + x = 180

Combine like terms: 9x + x = 10x

4 + 10x + x = 180

Combine like terms: 10x + x = 11x

4 + 11x = 180

Solving

4 + 11x = 180

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-4' to each side of the equation.

4 + -4 + 11x = 180 + -4

Combine like terms: 4 + -4 = 0

0 + 11x = 180 + -4

11x = 180 + -4

Combine like terms: 180 + -4 = 176

11x = 176

Divide each side by '11'.

x = 16

Simplifying

x = 16

Your answer would be x = 16.

To find the answer you need to collect like terms on the left hand side by adding the x-terms and the numbers, and then solving for x.

9x + x + x = 11x

-8 + 10 + 2 = 4

11x + 4 = 180

- 4

11x = 176

÷ 11

x = 16

I hope this helps!

Answer:

I'm not sure which one 25% i put the wrong number in

If you sleep 6 hours out of 24 hours, you sleep for 25% of the time.

To find the percentage of time spent sleeping, one must divide the number of hours slept by the total number of hours in a day and then multiply by 100. In this case, a person sleeps for 6 hours in a 24-hour day. The calculation is as follows:

Percentage of time spent sleeping = (Number of hours slept / Total number of hours in a day) × 100%

Percentage of time spent sleeping = (6 hours / 24 hours) × 100%

Percentage of time spent sleeping = 0.25  × 100%

Percentage of time spent sleeping = 25%

Therefore, sleeping for 6 hours in a 24-hour period means a person spends 25% of their time sleeping.

Answer:

12

Step-by-step explanation:

three time 2 to the 2nd power is twelve.

use a calculator,man. don't be lazy

Answer:

  A) 21.02°

  B) 26.74°

  C) 22.79°

  D) DNE

Step-by-step explanation:

We can solve the equation for the angle:

  D = 672·sin(2θ)

  D/672 = sin(2θ)

  arcsin(D/672) = 2θ

  θ = arcsin(D/672)/2

A) For D = 450, θ = arcsin(450/672)/2 = 21.0198° ≈ 21.02°

B) For D = 540, θ = arcsin(540/672)/2 = 26.7363° ≈ 26.74°

C) For D = 480, θ = arcsin(480/672)/2 = 22.7923° ≈ 22.79°

D) For D = 720, θ = arcsin(720/672)/2 = DNE

Answer:

Step-by-step explanation:

The question is not properly structured and the equation is also incorrect. Here is the correct question.

You and some friends went to a haunted house on Halloween. The mummy scared one friend so much that she jumped into the air! The equation h= -4t²+ 2t models her jump where h is her jumps height in feet t seconds after the mummy scares her. When did she reach her maximum.

Give the equation h= -4t²+ 2t that models my friend jump where h is her jumps height in feet t seconds, At maximum height, her velocity will be zero i.e

Vmax = 0m/s

Velocity is the rate of change in distance of a body i.e V = dh/dt

Given  h= -4t²+ 2t

V = dh/dt = -8t+2

Since v = 0m/s

0 = -8t+2

-8t = -2

t = -2/-8

t = 0.25 secs

She reaches her maximum height after 0.25 seconds

Answer:

94 for the first one and 130 for the second

Step-by-step explanation:

Since A=6 and B=4

For the first one

13(6)+ 4(4)

78+16=94

For the second one

(6+4)*13

(10)*13= 130

Answer:

[tex]x_{1}=-1+\sqrt{17},\:x_{2}=-1-\sqrt{17}[/tex]

Step-by-step explanation:

Quadratic Equation Given:

[tex]x^2+2x-16=0[/tex]

[tex]x^2 + 2x=16[/tex]

[tex]$c=\left( \frac{b}{2} \right)^2 $[/tex]

[tex]x^2 + 2x+1=16+1[/tex]

[tex](x+1)^2=17\\[/tex]

[tex]x+1=\pm \sqrt{17} \\[/tex]

[tex]x=-1 \pm \sqrt{17} \\[/tex]

[tex]x_{1}=-1+\sqrt{17},\:x_{2}=-1-\sqrt{17}[/tex]

Answer:

C

Source:

Trust me

Answer:

16 feet

Step-by-step explanation:

Answer:

D. 16 Feet

Step-by-step explanation:

Answer:

R

Step-by-step explanation:

A rectangle is a parrellagram. Also, got right on edg.

Answer:

R

Step-by-step explanation:

Answer:

[tex]122 {m}^{2} [/tex]

Step-by-step explanation:

[tex]A

=

2

(

w

l

+

h

l

+

h

w

) \\

=

2

·

(

4

·

7

+

3

·

7

+

3

·

4

)

\\

=

122 {m}^{2} [/tex]

Answer:option b. 4.9%

Explanation:

1) The probability that a dart thrown at random within the dart board will hit the bull's eye is equal to the ratio of the areas:

probability = area of the bull's eye / aera of the dart board.

2) Area of the dart board = π × (radius)² = π × (18 in)²

3) Area of the bull's eye = π × (radius)² = π × (4 in)²

4) So, the probaility is:

 π (4 in)²           4²

--------------- = ------- = 0.0494

π (18 in)²         18²

The correct answer is option B)4.9

1) The probability that a dart is thrown at random within the dartboard will hit the bull's eye is equal to the ratio of the areas:

probability = area of the bull's eye/area of the dart board.

2) Area of the dart board = π × (radius)² = π × (18 in)

3) Area of the bull's eye = π × (radius)² = π × (4 in)²

4) So, the probability is:

π (4 in)²  / π (18 in)²   =    4² /   18²   = 0.0494

Probability is simply how likely something is to happen. Whenever we're unsure about the outcome of an event, we can talk about the probabilities of certain outcomes and how likely they are.

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Answer:

He has 29 crayons left

Step-by-step explanation:

56-27=29

All you have to do is subtract since fewer means less and to find less you need to subtract

Use the law of cosines:

Distance = square root( 14^2 + 19^2 -2(14)(19) x cos(30)

Distance = 9.8 yards.

The answer is A.

The correct answer is A. 9.8 yds is the distance between two receivers.

The Law of Cosines states that for any triangle with sides a, b aand c , and angle [tex]\( \theta \)[/tex] opposite side c, the following equation holds:

[tex]\[ c^2 = a^2 + b^2 - 2ab\cos(\theta) \][/tex]

We want to find d, which corresponds to c in our scenario. Plugging in the values we have:

[tex]\[ d^2 = a^2 + b^2 - 2ab\cos(\theta) \] \[ d^2 = 14^2 + 19^2 - 2 \cdot 14 \cdot 19 \cdot \cos(30^\circ) \][/tex]

Since [tex]\( \cos(30^\circ) = \sqrt{3}/2 \)[/tex], we can substitute this value into the equation:

[tex]\[ d^2 = 14^2 + 19^2 - 2 \cdot 14 \cdot 19 \cdot \frac{\sqrt{3}}{2} \] \[ d^2 = 196 + 361 - 14 \cdot 19 \cdot \sqrt{3} \] \[ d^2 = 557 - 266 \cdot \sqrt{3} \][/tex]

Now we can solve for d:

[tex]\[ d = \sqrt{557 - 266 \cdot \sqrt{3}} \][/tex]

Calculating this value gives us [tex]\( d \approx 9.8 \)[/tex] yards to the nearest tenth of a yard.

Therefore, the two receivers are approximately 9.8 yards apart.

Radius of the hemisphere and the cone base:  R = 2 in

Height of the cone:   H = 6 - 2 = 4 in

π ≈ 3,14

Ice inside cone:

                           [tex]V_1=\frac13\pi R^2\cdot H=\frac13\pi\cdot2^2\cdot 4=\frac{16}3\pi[/tex]

Ice outside cone:

                            [tex]V_2=\frac12\cdot\frac43\pi R^3=\frac23\pi\cdot2^3=\frac{16}3\pi[/tex]

Total of ice:

[tex]V=V_1+V_2=\frac{16}3\pi+\frac{16}3\pi=\frac{32}3\pi\approx\frac{32}3\cdot3,14=33,49(3)\approx33,5[/tex]

There are 33,5 cubic inches of ice in the cone.

Answer:

15.42477796

Step-by-step explanation:

1/2π x 6 + 6

- sorry if its wrong

Answer:

3pi

Step-by-step explanation:

refer to the picture for steps.

Answer:

-12.

Step-by-step explanation:

f(x)=-2x^2+5x-9

which is -18+15-9, which is...

MARK AS BRAINLIEST!!!!!!!!!!!!

To evaluate f(3) for the function f(x)=-2x^2+5x-9, you substitute 3 for x in the equation and simplify the expression to get the result, which is -12.

Replace x with 3: f(3)=-2(3)2+5(3)-9.

Simplify the squares: f(3)=-2(9)+5(3)-9.

Multiply through: f(3)=-18+15-9.

Combine the terms: f(3)=-3-9.

Final result: f(3)=-12.

Therefore, the evaluated result for f(3) is -12.

1. t= 72

u= 54

2. m=76

n=76

3. ef= I forgot how to solve I'm sorry

f= 134

4. p=60

q=60

r=60 (it is an equilateral triangle)

Answer:

1.

u = 54

t = 72

2.

both equal 76

3.

i might be wrong but EF might be 23

f = 134

4.

all three are 60, as it is a equilateral

sorry if that sounds if i copied the previous answer

Answer: 12

Step-by-step explanation:

12 times 12 is 144 so 12.in each row

Helen will use 12 glass tiles in one row of her plate, as the square plate has a total area of 144 square centimeters and each tile measures one square centimeter.

The student's question involves calculating the number of glass tiles Helen would use in one row of a square plate, given that she has 144 square centimeters of glass tiles and each tile measures one square centimeter. To determine the number of tiles in one row, we need to remember that the area of a square is equal to the side length squared. Since the total area is 144 square centimeters, we take the square root of 144 to find the length of one side, which is 12 centimeters. Therefore, Helen will use 12 glass tiles in one row of her plate, as there would be 12 tiles lengthwise and 12 tiles widthwise to make up the total area of 144 square centimeters.

Answer:

35%

Step-by-step explanation:

The percent change is calculated as

[tex]\frac{change}{original}[/tex] × 100%

change = 222.75 - 165 = 57.75, thus

% change = [tex]\frac{57.75}{165}[/tex] × 100% = 0.35 × 100% = 35%

The percent change in value is 35%, and it is a percentage increase.

To calculate the percent change in value, we use the formula: ((new value - original value) / original value) * 100. In this case, the new value is $222.75 and the original value is $165. Plugging in these values, we get ((222.75 - 165) / 165) * 100 = 35%. Therefore, the percent change in value is 35%. Since the value has increased, it is a percentage increase.

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The probable question may be:

If the original amount is $165, and it has increased to $222.75, what is the percent change in the value, and is it a percentage increase or decrease?

Answer:

(5x + 1) • (5x - 1)

Step-by-step explanation:

Step 1:

Equation at the end of step 1:

5^2x^2 - 1

Step 2:

Trying to factor as a Difference of Squares :

Factoring: 25x^2-1

Theory :

A difference of two perfect squares,

A difference of two perfect squares, A^2 - B^2 can be factored into (A+B) • (A-B)

Proof : (A+B) • (A-B)

= A^2 - AB + BA - B^2

= A^2 - AB + AB - B^2

= A^2 - B^2

Note : AB = BA is the commutative property of multiplication.

Note : - AB + AB equals zero and is therefore eliminated from the expression.

Check : 25 is the square of 5

Check : 1 is the square of 1

Check : x^2 is the square of x^1

Factorization is :

(5x + 1) • (5x - 1)

Final result :

(5x + 1) • (5x - 1)

Answer:

Step-by-step explanation:

(5x-1) (5x+1)

Answer:

A

Step-by-step explanation:

Answer:

y decreases by half everytime

Step-by-step explanation: