what are the angle measures of the triangle? a)30, 60, and 90 b)45, 45, and 90 c)60,60,and 60 d)they cannot be determined.

Multiply by -4 and flip the inequality symbol. The correct option is D.

When two expressions are connected by a sign like "not equal to," "greater than," or "less than," it is said to be inequitable. The inequality shows the greater than and less than relation between variables and the numbers.

Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.

Here are the steps to solve the whole equation of -1/4x > 8:

Simplify the fraction to x/4

Multiply both sides by 4

Multiply 8 x 4 so it can be 32

Multiply both sides by -1

The value of x is less than -32.

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Answer:

5 min

Step-by-step explanation:

Answer:

Number of girls = (6 / 10)* 50  = 6*5  = 30

so there are 30 girls in the soccer league.

Step-by-step explanation:

angle y = arcos(2.25/6)

= 67.97 degrees

round to 68 degrees

68 is less than 75 so it is not safe to use

Answer:

0.60

Step-by-step explanation:

hope this helps

I removed all eight corners, leaving the total area unchanged.

I removed the central cube of the top surface obtaining an increase of the surface area with four units.

I removed one cube from the middle of an edge at the top (any of the four remaining) and I arrived at a figure with ten cubes less then the original one but with the same surface area.

The cube can be removed from the top middle and from the center if a 3 by 3 by 3 cube is made from 27 unit cubes.

An object's surface area refers to the overall space that its surfaces occupy.

Given:

The dimensions of the cube are 3 by 3 by 3

Calculate the surface area of the cube as shown below,

Surface area = 6 × side²

Surface area = 6 × 3²

Surface area = 6 × 9

Surface area = 54

I eliminated each of the eight corners, leaving the entire space untouched.

I deleted the top surface's central cube to increase the surface area by four units.

I started with a shape that was ten cubes smaller than the original one but had the same surface area after removing one cube from the center of one of the top edges (any of the four still there).

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Hence, the supplement angle is [tex]101[/tex] degree.

What are the angles?

Angles are an integral facet in the study of mathematics, particularly geometry. Angles are formed by two rays (or lines) that begin at the same point or share the same endpoint.

The point at which the two rays meet (intersect) is called the vertex.

Here given that,

The measure of an angle is [tex]79[/tex] degree.

Let the supplement angle is [tex]x[/tex]

As we know that the supplement of an angle is [tex]180-x[/tex].

[tex]180-x=180-79[/tex]

[tex]=101[/tex] degree.

Hence, the supplement angle is [tex]101[/tex] degree.

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Final answer:

The measure of a supplementary angle to one that measures 79° is 101°, since supplementary angles sum up to 180°.

Explanation:

If the measure of an angle is 79°, the measure of a supplementary angle can be found by subtracting this angle from the total degrees in a straight line. In other words, the sum of the measures of supplementary angles is 180°. Therefore, to find the measure of a supplementary angle when one angle measures 79°, we perform the following calculation:

180° - 79° = 101°

So, the measure of the supplementary angle is 101°.

Final answer:

There are 120 different ways for 4 members out of a family of 5 to line up for a photo shoot. This is calculated using permutations, where the order of members matters, and is found by the formula 5! / (5-4)!.

Explanation:

To find the number of ways 4 members from a family of 5 can line up for a photo shoot, we use the concept of permutations since the order of arrangement matters.

In mathematics, the number of permutations for selecting r objects from a set of n objects is given by nPr, which is calculated as n! (n factorial) divided by (n-r)! (the factorial of the difference between n and r).

In this case, we want to arrange 4 out of 5 family members, so n = 5 and r = 4. The permutation formula gives us:

5P4 = 5! / (5-4)! = (5 × 4 × 3 × 2 × 1) / 1 = 120 ways.

Therefore, there are 120 different ways for 4 members out of a family of 5 to line up for a photo shoot.

replace x with -1

4(-1)^3 +2 =

4*-1 +2

= -4 +2 = -2

 answer is -2

Option: A is the correct answer.

                A. 10

We know that the number of subsets of exactly ''r'' elements that is formed by the help of n elements is calculated by:

            [tex]n_C_r[/tex]

Since here we have to chose 2 elements out of the 5 elements in order to form a subset.

Hence, we have:   n=5 and r=2

Hence, the number of subsets are:

[tex]5_C_2=\dfrac{5!}{2!\times (5-2)!}\\\\\\5_C_2=\dfrac{5!}{3!\times 2!}\\\\\\5_C_2=10[/tex]

Hence, the number of subsets are:

                                   10

Answer:

  A. 10

Step-by-step explanation:

The given problem is =

[tex]( 10x-4x^{2} )-(7x+?)=3x-6x^{2}[/tex]

Lets suppose the missing term to be T

So equation becomes:

[tex]10x-4x^{2} -7x-T=3x-6x^{2}[/tex]

[tex]T=10x-4x^{2} -7x-3x+6x^{2}[/tex]

[tex]T=2x^{2}[/tex]

Hence, the missing term is [tex]2x^{2}[/tex]

Answer:

[tex]45\pi\ ft^3[/tex]

Step-by-step explanation:

The volume of the cone can be calculated using formula

[tex]V_{cone}=\dfrac{1}{3}\cdot \pi r^2\cdot H,[/tex]

where [tex]r[/tex] is the radius of the base circle and [tex]H[/tex] is the height of the cone.

Since [tex]r=3\ ft[/tex] (half of the diameter given in the diagram) and [tex]H=15\ ft,[/tex] then

[tex]V_{cone}=\dfrac{1}{3}\cdot \pi \cdot 3^2\cdot 15=45\pi\ ft^3.[/tex]

Answer:  The correct option is (C) [tex]3a.3a.3a.[/tex]

Step-by-step explanation:  We are given to select the correct representation of the following exponent expression :

[tex]E=(3a)^3.[/tex]

We will be using the following property of exponents :

[tex]a^n=a.a.a.~.~.~.~(n~times).[/tex]

So, for the given expression, we get

[tex]E=(3a)^3=3a.3a.3a.[/tex]

Thus, the correct representation is [tex]3a.3a.3a.[/tex]

Option (C) is CORRECT.

Answer:

The equation that identify the situation is:

d= x + y

d= 15+38

d= 53

She brought 53 drawings.

Step-by-step explanation:

We know that Rosa brought d numbers of drawings to an art show.

She sold 15 of them and she had 38 left.

The number d of drawings that she brought to an art show is:

d= x + y

Where:

d: number of drawings she brought

x: number of drawing she sold

y: number of drawings she had left

d= 15+38

d= 53

She brought 53 drawings.

Answer:

A. The graph of f(x) = |x| is shifted to the left 8 units, down 3 units.

Step-by-step explanation:

We are given,

The transformed function is [tex]f(x)=|x+8|-3[/tex].

Now, the parent function is [tex]f(x)=|x|[/tex].

So, we have,

When the parent function is shifted 8 units to the left, the function is [tex]|x+8|[/tex].

This function when translated 3 units downwards gives [tex]f(x)=|x+8|-3[/tex].

Thus, we get,

So, option A is correct.