Image attached: some sort of triangle stuff

Answer:

Step-by-step explanation:

[tex]3 \sqrt{54} - 4 \sqrt{24} [/tex]

Simplify the radical expression

[tex]3 \sqrt{2 \times 3 \times 3 \times 3} - 4 \sqrt{2 \times 2 \times 2 \times 3} [/tex]

[tex]3 \times 3 \sqrt{2 \times 3} - 4 \times 2 \sqrt{2 \times 3} [/tex]

[tex]9 \sqrt{6} - 8 \sqrt{6} [/tex]

collect the like terms

[tex]9 - 8 \sqrt{6} [/tex]

[tex]1 \sqrt{6} [/tex]

[tex] \sqrt{6} [/tex]

Hope this helps...

good luck on your assignment..

Answer:

7 classmates

Step-by-step explanation:

The last person in the line is in position 35.

The Maria's leading classmate is in the position 35-23+1 = 13.

So, Maria's classmates are from position 13 to 19 (not including herself), and their number is 19-12 = 7 persons.

ANSWER.  Maria has 7 classmates  (not including herself).

Hope this helps.

Answer:

  B.  f(x) = x^2 -2

Step-by-step explanation:

The graph of f(x) is the graph of g(x) moved down 2 units, so is ...

  f(x) = g(x) -2

  f(x) = x^2 -2

_____

Adding a constant to the value of a function moves the graph vertically by the value of the added constant.

Answer:

1695.6 is the volume.

Step-by-step explanation:

3.14 * 6^2 * 15 = 1695.6

Answer:

1695.6 yds^ 3

Step-by-step explanation:

If the diameter is 12 yds then the radius is 6 yds.  The height is 15 yds.  Thus the volume of this cylinder is

V = πr²h = 3.14(6 yd)^2·(15 yds) = 1695.6 yds^ 3

Answer:

$10.10

Step-by-step explanation:

We are told that she bought 3 CDs of the same price. Her total was $34.20 with $3.90 tax. We want to find the price of a CD before tax.

Since we are finding the price before tax, we need to subtract the tax from the total.

total - tax

We know she paid $34.20 with the tax of $3.90

$34.20 - $3.90

Subtract

$30.30

The total before tax was $30.30

Now we must find the price of a CD. Each CD is the exact same price, and she bought 3. Therefore, we can divide the total before tax ($30.30) by 3.

$30.30 / 3

Divide

$10.10

Each CD costs $10.10 before tax.

Answer:

10.1 $

Step-by-step explanation:

The total price Lella paid was 34.20 $ wich includes the Cd's price and the taxes

The taxes value is 3.9 $

So we need to substract 3.9 $ from 34.20 $ to get the price of the Cds

34.20 -3.9 = 30.3

The total price of the cds is 30.3 $

There are 3 cds with the same price

To get the price of each Cd divife the total of cds by 3

30.3÷3 = 10.1

The price of 1 cd is 10.1$

Answer:

Step-by-step explanation:

sec (-x)-sin (-x) tan (-x)=cos x

sec(x)-(-sin x)(-tan x)=cos x

1/cos x-sin x(sin x/cos x)=cos x

multiply by cos x

1-sin ²x=cos²x

or 1=sin²x+cos²x

which is true.

Answer:

16 lollipops

Step-by-step explanation:

4 is 1/4 so multiply 4 by 4

Answer:

  BC/BE = FG/FI

Step-by-step explanation:

Corresponding segments are proportional:

  BC/BE = FG/FI

Answer: 62/5

Step-by-step explanation:

You are given the following functions:

F(X) = x-2/5

g(X) = x-5

First find the inverse of the two functions.

To find inverse, first make f(x) and g(x) equal to y, interchange x and y and make y the subject of formula

F(x) = x - 2/5

Y = x - 2/5

Interchange y and x

X = y - 2/5

Make y the subject of formula

Y = x + 2/5

Therefore, f^-1(x) = x + 2/5 ..... (1)

Also,

g(x) = x - 5

Y = x - 5

X = y - 5

Make y the subject of formula

Y = x + 5

g^-1(x) = x + 5

To find g inverse of 7, substitute 7 for x in the above formula

g^-1(7) = 7 + 5 = 12

f inverse g inverse = 7 will be achieved by substitute 12 for x in the equation (1)

F^-1(12) = 12 + 2/5 = 62/5

Answer:

78.5

Step-by-step explanation:

It is 78.5 because you first get the area of the circle, which is 314. Then divide 314 by 4 to get 78.5

The area of 1/4 of a circle with a radius of 10 is 78.5 units²

Given,

1/4 of a circle.

Radius = 10

π = 3.14

We need to find the area of 1/4 of a circle.

It is given as:

Area = πr²

Find the area of 1/4 of a circle.

We have,

Area of a circle = πr²

Radius = 10

1/4 area of a circle:

= 1/4 x πr²

= 1/4 x 3.14 x 10²

= 1/4 x 3.14 x 100

= 78.5 units²

Thus the area of 1/4 of a circle is 78.5 units²

Learn more about finding the circumference and area of a circle here:

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Answer:

c. (x-3) is not a factor.

Step-by-step explanation:

Answer:

98

Step-by-step explanation:

Let's say the tens place is x and the ones place is y.

The tens place is one more than the one's place:

x = y + 1

Reversing the digits, plus the original number, is 187:

(10x + y) + (10y + x) = 187

11x + 11y = 187

x + y = 17

Substituting:

y + 1 + y = 17

2y = 16

y = 8

x = 9

The number is 98.

Answer:

[tex]6x^2 -x - 1[/tex]

By degree: Quadratic

By number of terms: Trinomial

[tex]3x + 4[/tex]

By degree: Linear

By number of terms: Binomial

[tex]2[/tex]

By degree: Constant

By number of terms: Monomial

Step-by-step explanation:

Given

[tex](x - \frac{1}{2})(6x + 2)[/tex]

[tex](7x^2 + 3x) -\frac{1}{3}(21x^2 - 12)[/tex]

[tex]4(5x^2-9x+7)+2(-10x^2+18x-13)[/tex]

Required

Simplify and categorize the result based on their degree and number of terms

Simplifying [tex](x - \frac{1}{2})(6x + 2)[/tex]

[tex]x(6x + 2) - \frac{1}{2}(6x + 2)[/tex]

Open bracket

[tex]6x^2 + 2x - 3x - 1[/tex]

[tex]6x^2 -x - 1[/tex]

By degree: Quadratic

By number of terms: Trinomial

Simplifying [tex](7x^2 + 3x) -\frac{1}{3}(21x^2 - 12)[/tex]

Open bracket

[tex]7x^2 + 3x -\frac{1}{3} * 21x^2 -\frac{1}{3}*- 12[/tex]

[tex]7x^2 + 3x -7x^2 + 4[/tex]

Collect like terms

[tex]7x^2-7x^2 + 3x + 4[/tex]

[tex]3x + 4[/tex]

By degree: Linear

By number of terms: Binomial

Simplifying [tex]4(5x^2-9x+7)+2(-10x^2+18x-13)[/tex]

Open brackets

[tex]4*5x^2-4*9x+4*7+2*-10x^2+2*18x-2*13[/tex]

[tex]20x^2-36x+28-20x^2+36x-26[/tex]

Collect like terms

[tex]20x^2-20x^2-36x+36x+28-26[/tex]

[tex]2[/tex]

By degree: Constant

By number of terms: Monomial

Answer:

$ 7.50

Step-by-step explanation:

The cost of the picnic cooler would be 100%.

With the 6% sales tax, Anton would pay 106% of the cost if the picnic cooler.

(since 100% +6%= 106%)

106%(picnic cooler)= $7.95

Cost of picnic cooler= 100%(picnic cooler).

Cost of picnic cooler

[tex] = \frac{7.95}{106} \times 100 \\ = 7.50[/tex]

Thus, he paid $7.50 for the cooler alone.

Answer:

[tex](a).\:\:\int _1^{-1}3f\left(x\right)dx\:=-12[/tex]   is the final answer.

Step-by-step explanation:

See the attachment below.

Best Regards!

Answer:

Hi there!!

The answer would be x=20 and y= 10 root 3 or on decimal it's 17.32.

explanation look in picture, alright.

I hope it will help u....

Answer:

x = 20

y = 10√3 or 17.3

Step-by-step explanation:

This is a special 30° 60° 90° right triangle

In this special triangle if the side length that sees 30° is represented by x and its given as 10 the side length that sees 90° would be twice of it so it's represented by 2x = 20 and the side length that sees 60° is x√3 = 10√3

Answer:

Heyyyy... Your ans!

Plz follow. Me..

Step-by-step explanation:

Answer:

Your answer is d=6b

Step-by-step explanation:

Answer:

The correct option is x = 12

Step-by-step explanation:

An asymptote of a function is a line to to which the function converges to as it tends to infinity such that the function gets infinitesimally close to its asymptote but the function will not reach or cross its asymptote. That is the separating distance between the function and the asymptote tends to zero as either the x or y coordinates, or both the x and y coordinates tend to infinity.

A vertical aymptote, is one parallel to the y-axis and it is given by the value of the x-coordinate where it occurs

In the graph of the question, the vertical asymptote occurs at x = 12 and it is the line x = 12.

From the given graph, it can be said that the vertical asymptote will be formed at x=12. Option C is correct.

The given curve represents a function which is defined for all value fo x except 12.

The following information can be extracted from the graph of the function;

Based on the above conclusions, it can be said that the vertical asymptote will be formed at x=12. Option C is correct.

For more details, refer to the link:

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Answer:

Mean = 30.3

Median = 30

They scored 30 or more points on 11 games.

Step-by-step explanation:

Mean = all the numbers added together divided by 21

636/21 = 30.3

Median is the middle number (the 11th) = 30

Answer:

x = -3 is not a function because, for one thing, its graph does not pass the vertical line test.

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

We see that one corresponding angle and the hypotenuses of the right triangles are congruent so the answer is HA. (The H stands for hypotenuse and the A stands for angle.)

Answer:

[tex]\boxed{HA}[/tex]

Step-by-step explanation:

The theorem that verifies ΔHIJ ≅ ΔKLM is the HA (Hypotenuse-Angle Theorem) which shows that the hypotenuse and an acute angle are congruent to each other.

=> IJ ≅ LM (Hypotenuse)

=> ∠NIJ ≅ ∠KLM (Acute Angle)

Answer:Answer: THE ANSWER IS

A)

Answer:

Your answer is A

Step-by-step explanation:

By using substitution method, we obtained the solution of equations (3, 3).

The given linear system of equations are 6x+3y=27 and 5x+2y=21.

A system of linear equations consists of two or more equations made up of two or more variables such that all equations in the system are considered simultaneously. The solution to a system of linear equations in two variables is any ordered pair that satisfies each equation independently.

Using substitution method we can solve given equations

6x+3y=27 can be written as 2x+y=9 ----------(I)

5x+2y=21 ----------(II)

From equation (I), we have y=9-2x

Substitute y=9-2x in equation (II), we get

5x+2(9-2x)=21

⇒ 5x+18-4x=21

⇒ x=21-18

⇒ x=3

Substitute x=3 in equation (I), we get

2(3)+y=9

⇒ y=3

Therefore, by using substitution method, we obtained the solution of equations (3, 3).

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Answer

The points where the two bicycles meet after every 6hr at 30 miles and 54 miles.

Answer:

[tex]14.\:\:\overline{RT}=3.3\:ft[/tex]

Step-by-step explanation:

Using the definition of similar triangle, we have the equation for problem no. 14 as:

[tex]\frac{\overline{QT}}{\overline{RT}}=\frac{\overline{RT}}{\overline{TS}}\\\\\frac{5}{x}=\frac{x}{2.2}\\\\\Rightarrow x=3.3[/tex]

Best Regards!

Answer:

1/2

Step-by-step explanation:

There are four spots in total in the circle. Two of them are blue. Therefore, the probability of it lading on blue is 2/4, which simplifies to 1/2. Hope this helped.

Answer:

x = 6

Step-by-step explanation:

First, add 8 to both sides.

4x - 8 = 16

4x - 8 + 8 = 16 + 8

4x = 24

Then, divide 4 from each side.

4x ÷ 4 = 24 ÷ 4

x = 6

Hope this helps.

Answer:

x = 6

Step-by-step explanation:

Well to solve for x in,

4x - 8 = 16

We use the commutative property which is the moving of numbers and variables to either side of the equation.

So 4x - 8 = 16

+8 to both sides

4x = 24

Divide 4 by both sides

x = 6

Thus,

x is 6.

Hope this helps :)

Answer:

10+6=16

16*25=400

400+4=404

Step-by-step explanation:

EZ...

Answer:

Four books  because there are the most dots over that spot on the bottom number line thingy

Answer:

A: 3/4

Step-by-step explanation:

sine is the length of the opposite side / length the hypotenuse side

cosine is the length of the adjacent side / length the hypotenuse side

using what's given:

Tangent is the ratio between the opposite side length and the adjacent side length (opp/adj). With our givens, this means tan(A) = 3/4. See image for more.

Answer:

A

Step-by-step explanation: