A designer builds a model of a sports car. The finished model is exactly the same shape as the original, but smaller. The scale factor is 2:15

Answer:

4 approx.

Step-by-step explanation:

The number of layers of 1-inch cubes that Mark packed is determined by assuming that the larger box is also a cube.

let the N be the number of layers of 1-inch cubes that would it take to fill the box.

Since the larger box is also a cube

Therefore, 96 = N^3

N = (96)^(1/3)

N = 4√6

Therefore, there would be 4 layers of the 1-inch cube and some extra incomplete layer

Answer:

the second answer choice

Step-by-step explanation:

there are two sides that are similar in size, and an angle, so it is SAS

Answer:

I rounded to 1,591 rolls of toilet paper can fit. I have the big rolls so I may fit less than the average roll.

Step-by-step explanation:

87.96 SA Per roll

140,000 Volume for the closet.

Answer:

880

Step-by-step explanation:

Divide to get 70.5

turn into fraction

70 5/10=

70 1/2

Answer:

70 1/2

Step-by-step explanation:

first you have to divide 423 into 6 and then the remainder is the fraction so the answer is 70 5/10 or 70 1/2, same thing

Answer:

[tex]C\approx 5.14[/tex]

Step-by-step explanation:

The circumference is the distance around a complete circle: in essence, the perimeter of a circle. The formula to find the circumference of a circle is the following:

[tex]C=(d)(\pi)[/tex]

Where (d) represents the diameter, the largest cord that can be drawn in a circle, it goes from one end to another, passing through the center of the circle. The parameter ([tex]\pi[/tex]) represents the number (3.1415...). However, one is given a semicircle, thus one must divide the result in two, and then add the value of the diameter to find the perimeter of the given object. Therefore the equation for the circumference of this circle is as follows:

[tex]C=\frac{(d)(\pi)}{2}+(d)[/tex]

Substitute in the given value,

[tex]C=\frac{(2)(3.1415)}{2}+(2)[/tex]

Simplify,

[tex]C=3.1415...+2[/tex]

[tex]C=5.1415[/tex]

[tex]C\approx 5.14[/tex]

Answer:

D

Step-by-step explanation:

I'm pretty sure its D but correct me if i got it wrong!

Answer:

How to do algebraic equations

Step 1: Write Down the Problem. ...

Step 2: PEMDAS. ...

Step 3: Solve the Parenthesis. ...

Step 4: Handle the Exponents/ Square Roots. ...

Step 5: Multiply. ...

Step 6: Divide. ...

Step 7: Add/ Subtract (aka, Combine Like Terms) ...

Step 8: Find X by Division.

Alegraic expressions

1.Here are the basic steps to follow to simplify an algebraic expression:

2.remove parentheses by multiplying factors.

3.use exponent rules to remove parentheses in terms with exponents.

4.combine like terms by adding coefficients.

combine the constants.

Hope u have a nice day :)

Answer:

72º

Step-by-step explanation:

C = arcsin .9513

C = 72.045199929442813

C = 72º

z = 13/9?? i don't really know hope i helped

Answer:

B) z = 1 4/9

Step-by-step explanation:

z - 7/9 = 2/3

z - 7/9 = 6/9

z (- 7/9 + 7/9) = 6/9 + 7/9

z = 13/9

z = 1 4/9

Answer:

x = 27

Step-by-step explanation:

∠ GAF = 90° , then

x + 63 = 90 ( subtract 63 from both sides )

x = 27

Answer:

27

Step-by-step explanation:

Angle x and 63 are complementary angles forming 90

Therefore,

90 - 63 = x

27 = x

Answer:

Approximately [tex]0.032[/tex] (or, equivalently, [tex]3.2\%[/tex],) assuming that the availabilities of the [tex]12[/tex] jurors are independent from one another.

Step-by-step explanation:

The question states that the probability that a given juror is unavailable is approximately [tex]0.25[/tex].

For the complement of that event, the probability that this particular juror is available would be [tex]1 - 0.25 = 0.75[/tex].

Assume that the availabilities of the [tex]12[/tex] jurors are independent from one another. The number of available jurors would be a binomial variable with [tex]n = 12[/tex] and [tex]p = 0.75[/tex] ([tex]12\![/tex] independent observations, each with a [tex]0.75[/tex] probability of being "available".)

Hence, the probability that all [tex]12[/tex] jurors are available would be:

[tex](0.75)^{12} \times (0.25)^{0} \approx 0.032 = 3.2\%[/tex].

Answer:

[tex]20\:\mathrm{in}[/tex]

Step-by-step explanation:

The lateral surface area of a cone is given by [tex]A=\pi r\ell[/tex], where [tex]r[/tex] is the radius of the base of the cone and [tex]\ell[/tex] is the cone's slant height.

Solving for [tex]\ell[/tex]:

[tex]200\pi=10\pi\ell,\\\ell=\frac{200\pi}{100\pi}=\boxed{20\:\mathrm{in}}[/tex]

*Note: It is implied that the surface area of 200 pi square inches is lateral surface area and not total surface area, because it is impossible to obtain a total surface area of 200 pi with a radius of 10 inches.

Answer:

x=90° and y=35°

Step-by-step explanation:

to get x and y first you must find the middle angles based on the information you have so:

35+90+n=180° solve for n to get what the middle angles are (since they are vertical angles they are equal) so the middle angles are both 55 degrees

and then 180-x=that angle that is also on the line with x so we'll call it k

so k+55+y=180°

we can see that y equals 35* because I noticed that those are parallel lines on the outside of the triangle so 35* and y angles are congruent and y =35°

now 35+55+k=180°

solve for the angle next to x which we called k and it is 90°

so x=90° and y=35°

after all this math I realized that if they are parallel lines then we can just use that to figure it out so use the properties to find out that x=90° and y=35°

Answer:

x = 4

y = 3

Step-by-step explanation:

x = 10 - 2 y

 substitute  x = 10 - 2y into 2x - y = 5

20- 5y = 5

  then

  y = 3

    and

 x  = 4

Mark brainliest

Answer: 16 3/2

Step-by-step explanation:

Because the division bass and I did it for the nether and the internet it is not the same as it does it not like the earth or the internet or anything bad

Answer:

Step-by-step explanation:

What they said

Answer:

Each piece is 1.12 meters long

Step-by-step explanation:

7 equal pieces = divide x by 7

equation: 7.84 / 7

Answer:

36

Step-by-step explanation:

You are given an expression and values to be put into it.

Simply substitute the values in instead of [tex]x[/tex] and [tex]y[/tex].

[tex](x-y)^2[/tex]

When [tex]x=5[/tex] and [tex]y=-1[/tex]:

[tex](5-(-1))^2 = (5+1)^2=(6)^2=36[/tex] - Note: Be careful with negative signs here. Two negatives make a positive.

The probability that one shopper, selected at random prefers either Beverage A or Beverage C; P(A or C) = 12/25.

Probability refers to a possibility that deals with the occurrence of random events. The probability of all the events occurring need to be 1.

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

We are looking for the probability that one shopper, selected at random prefers either Beverage A or Beverage C.

a. A probability distribution of the experiment.

The probability of selecting Beverage A is ;

P(A) = 15/50 = 0.3

The probability of selecting Beverage B is ;

P(B) = 12/50 = 0.24

The probability of selecting Beverage C is ;

P(C) = 9/50 = 0.18

The probability of selecting Beverage D is ;

P(D) = 6/50 = 0.12

The probability of selecting Beverage E is ;

P(E) = 8/50 = 0.16

b. The probability that one shopper, selected at random prefers either Beverage A or Beverage C.

P(A or C) = 15/50 + 9/50

P(A or C) = 24/50

Thus, P(A or C) = 12/25

Learn more about probability here;

https://brainly.com/question/11234923

#SPJ2

Answer:

1,3

Step-by-step explanation:

Answer:

658-10=648

Step-by-step explanation:

subtract 10 from 658.

Answer:

72.5

Step-by-step explanation:

Angle X is congruent to 35

both angles y and angle x together form a line that equals 180

so for angles y, take 180 - 35 = 145

Angles y is 145/2

Answer: all of the above

Step-by-step explanation:

Answer:

12.5 inches is the correct answer.

Step-by-step explanation:

I can bet you with brainliest post if it is correct mark me brainliest and wrong then spam me(;

Answer:

1/6

Step-by-step explanation:

The coin toss and the cube roll are entirely separate and independent events.  To find the joint probability P(tails and 3) we need only find the probabilities of the two events and then multiply them together.

P(tails) = 0.5

P(3) = 1/6, or 0.3333 ....

Desired joint probability = (1/2)(1/3) = 1/6

Answer:

Height of building from base to ladder = 5.8 meter (Approx.)

Step-by-step explanation:

Given:

Length of ladder = 6 meters

Distance of ladder from base = 1.5 meters

Find:

Height of building from base to ladder

Computation:

Perpendicular = √Hypotenuse² - Base²

Height of building from base to ladder = √Length of ladder² - Distance of ladder from base²

Height of building from base to ladder = √6² - 1.5²

Height of building from base to ladder = √36 - 2.25

Height of building from base to ladder = √33.75

Height of building from base to ladder = 5.8 meter (Approx.)

Answer:- 1/6

Step-by-step explanation: