help‼️ if a number is even, then it is divisible by 2. g=14

Answer:

r = 5.35

Step-by-step explanation:

The radius of a circle with an area of 90 inches is 5.35.

Use the formula: A=πr2

r=A

π=90

π≈5.35237

Answer:

C. Rhombus or Kite

Step-by-step explanation:

1/2 d1d2 is the formula for a rhombus or kite.

Answer:

Rhombus or Kite

Step-by-step explanation:

learning about it rn

Answer:

3^x -2x +14

Step-by-step explanation:

I will assume you mean 3^x in the function f(x)

f(x) = 3^x+ 10

g(x) = 2x - 4

(f - g)(x) =  3^x+ 10  - (2x - 4)

       Distribute the minus sign

              =  3^x+ 10  - 2x + 4

              = 3^x -2x +14

Answer:

6x^2+2x-6

Step-by-step explanation:

In the expression (2x)(x2)+(2x)(x)+(2x)(-2)+(3)(x2)+(3)(-2) take each set of two and solve those individually. The expression then becomes 4x^2+2x^2-4x+6x-6 the combining like terms you get 6x^2+2x-6.

Answer:

(-2,6)

Step-by-step explanation:

If b is (6,4) and we have b' is the image that follows from the translation

(x-8,y+2).

Basically the image of (x,y) is (x-8,y+2).

So the image of (6,4) is (6-8,4+2).

Simplify:

(6-8,4+2)

(-2,6).

b' is (-2,6).

When we have dependent and independent variables we will have a linear relationship.

Let x be the independent variable and y be the dependent variable.

To write the  relationship we will have :

y = kx + c

Where k and c are constants.

In the case of a line the constant k is the gradient.

A multiplicative change is a log form and it is given by :

Y = Ck^x

The relationship is not linear but exponential.

The correct answer is thus :

Additive rate of change.

Answer:

A

Step-by-step explanation:

Answer:

x = 8

Step-by-step explanation:

We can see that this is using power of a point or PoP! So we immediately know that 5x = 4*10.

So solving for x (by dividing by 5 on both sides) we get:

x = 8

Answer : The value of 'x' is, 8

Step-by-step explanation :

According to the theorem, if two chords intersect inside a circle then the product of the lengths of the one chord equals to the length of another chord.

That means in the given figure,

AO × OB = CO × OD

Given:

Length AO = 10

Length OB = 4

Length CO = x

Length OD = 5

Now put all the given values in the above expression, we get:

AO × OB = CO × OD

10 × 4 = x × 5

40 = x × 5

x = 8

Therefore, the value of 'x' is, 8

Answer:

Step-by-step explanation:

It's the definition of an altitude.

Answer: Altitude

Step-by-step explanation:

Answer:

-1

Step-by-step explanation:

The product of the slopes of perpendicular lines is always   -1    .

Answer:

Option A.

Step-by-step explanation:

In the given triangles XYZ and ACB,

∠X ≅ ∠A ≅ 90°

∠Z ≅ ∠C

And ∠Y ≅ ∠B

Measures of the corresponding angles in the given triangles XYZ and ACB are same.

Therefore, ΔXZY ≅ ΔACB

[We will write the corresponding angles of ΔABC in the same order as given for ΔXZY.]

Option A. will be the correct option.

Answer: it is abc

Step-by-step explanation:

Answer:

[tex]\sin(\frac{\pi}{7}+x)[/tex]

Step-by-step explanation:

We are going to use the identity

[tex]\sin(a+b)=\sin(a)\cos(b)+\cos(a)\sin(b)[/tex]

because this identities right hand side matches your expression where

[tex]a=\frac{\pi}{7}[/tex] and [tex]b=x[/tex].

So we have that [tex]\sin(\frac{\pi}{7})\cos(x)+\cos(\frac{\pi}{7})\sin(x)[/tex] is equal to [tex]\sin(\frac{\pi}{7}+x)[/tex].

The given expression is written as sin(π/7 + x). Using sine of compound angle identity it is obtained.

A compound angle is the sum of two or more angles. Consider A and B are two angles. Where their compound angle becomes A + B. So, the sine and cosine of this compound angle are

1) sin (A + B) = sin A cos B + cos A sin B

2) sin (A - B) = sin A cos B - cos A sin B

3) cos (A + B) = cos A cos B - sin A sin B

4) cos (A - B) = cos A cos B + sin A sin B

The given expression is sin(π/7) cos(x) + cos(π/7) sin(x)

This is in the form of sin A cos B + cos A sin B

where A = π/7 and B = x

So, using the above identity we can write,

sin(π/7) cos(x) + cos(π/7) sin(x) = sin(π/7 + x)

Thus, the given expression is expressed in the angle of sine. I.e., sin(π/7 + x).

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Answer:

163

Step-by-step explanation:

0 judges - [tex]C^8_0=1[/tex] way to vote

1 judge - [tex]C^8_1=8[/tex] ways to vote

2 judges-

[tex]C^8_2=\dfrac{8!}{2!(8-2)!}=\dfrac{6!\cdot 7\cdot 8}{2\cdot 6!}=\dfrac{56}{2}=28[/tex]

ways to vote for 2 different judges

3 judges-

[tex]C^8_3=\dfrac{8!}{3!(8-3)!}=\dfrac{5!\cdot 6\cdot 7\cdot 8}{2\cdot 3\cdot 5!}=\dfrac{6\cdot 56}{6}=56[/tex]

ways to vote for 3 different judges

4 judges-

[tex]C^8_4=\dfrac{8!}{4!(8-4)!}=\dfrac{4!\cdot 5\cdot 6\cdot 7\cdot 8}{4!\cdot 4!}=\dfrac{5\cdot 6\cdot 7\cdot 8}{2\cdot 3\cdot 4}=5\cdot 7\cdot 2=70[/tex]

ways to vote for 4 different judges

In total, there are

[tex]1+8+28+56+70=163[/tex]

different ways to vote.

Answer:

The answer is 6x^2-2x-10

Step-by-step explanation:

(4x2 + 5x - 7) + (2x2 - 7x - 3)

This is an addition question:

First step is open the parenthesis

4x2 + 5x - 7 + 2x2 - 7x - 3

Arrange the terms according to the exponents:

4x^2+2x^2-7x+5x-7-3

Solve the like terms:

6x^2-2x-10

Thus the answer is 6x^2-2x-10 ....

[tex](4 {x}^{2} + 5x - 7) + (2 {x}^{2} - 7x - 3) \\ \\ open \: the \: brackets \\ \\ 4 {x}^{2} + 5x - 7 + 2 {x}^{2} - 7x - 3 \\ \\ 6 {x}^{2} - 2x - 10[/tex]

While opening the brackets, make sure you change the signs accordingly.

Hope it helps!

Answer:

Part 1) The area of the base of the rectangular prism is [tex]18\ cm^{2}[/tex]

Part 2) The height of the rectangular prism is equal to [tex]6\ cm[/tex]

Part 3) The volume of the rectangular prism is [tex]108\ cm^{3}[/tex]

Step-by-step explanation:

Part 1) What is the area of the base of the rectangular prism?

we know that

The base of the rectangular prism is the rectangle ABCD

so

AD=BC and AB=DC

The area B of the rectangle is equal to

[tex]B=AD*DC[/tex]

substitute

[tex]B=(9)(2)=18\ cm^{2}[/tex]

Part 2) What is the height of the rectangular prism?

The height of the rectangular prism is equal to the segment line AW (segment perpendicular to the base)

we have that

[tex]H=AW=BX=DY=CZ=6\ cm[/tex]

Part 3) What is the volume of the rectangular prism?

we know that

The volume of the rectangular prism is equal to

[tex]V=BH[/tex]

where

B is the area of the base of the prism

H is the height of the prism

we have

[tex]B=18\ cm^{2}[/tex]

[tex]H=6\ cm[/tex]

substitute

[tex]V=(18)(6)=108\ cm^{3}[/tex]

The area of the base of the rectangular prism is 18 cm² and its volume is 108 cm³.

Prism is a three dimensional shape with two identical shapes called bases facing each other.

From the diagram:

Area of base = length * width = 9 cm * 2 cm = 18 cm²

Volume = height * length * width = 6 * 9 * 2 = 108 cm³

The area of the base of the rectangular prism is 18 cm² and its volume is 108 cm³.

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Answer:

[tex]\angle 12 \cong \angle 8\\\angle 4 \cong \angle 8[/tex]

Step-by-step explanation:

When two parallels lines are crossed by a transversal, certain pair of angles are called corresponding angles, specifically, those that are placed in the same side of the transversal, on inside the parallels and the other outside the parallels. The image attached shows an example of corresponding angles.

So, we observe in the given image that all corresponding angles with angle 8 are

[tex]\angle 12\\\angle 4[/tex]

These angles are form corresponding angle with [tex]\angle 8[/tex], that means they are congruent, that is

[tex]\angle 12 \cong \angle 8\\\angle 4 \cong \angle 8[/tex]

Answer:

you can use it in architecture and construction

Step-by-step explanation:

say you are building a sloped roof. If you know the height of the roof and the length for it to cover, you can use the Pythagorean Theorem to find the diagonal length of the roof's slope. You can use this information to cut properly sized beams to support the roof, or calculate the area of the roof that you would need to shingle. I hope this helps!

Two different real-life examples of world situations to represent the Pythagorean theorems are:

"Pythagoras theorem is defined as in the right-angled triangle square of the hypotenuse is equals to the sum of the square of other two sides."

According to the question,

Two different real-life examples of world situations to represent the Pythagorean theorems are:

   2. The height of the original tree using the length of a broken tree      

        lying on itself touching the ground: broken part represents the

        hypotenuse, the ground represents the base, and the left part of  

          the tree is the perpendicular side.

Hence, two different real-life examples of world situations to represent the Pythagorean theorems are:

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Answer: 3(2)^2 + 4(3)^2

Step-by-step explanation:

First do what is replacing the variables by changing X to 2 and Y to -3

3(2)^2 + 4(-3)^2 = 3(4) + 4(9) = 12 + 36 = 48

Answer: The value is 48

Step-by-step explanation:

Given the following expression:

[tex]3x^2+4y^2[/tex]

You need to substitute the values of each variables provided in the exercise into this expression. You can observe that the value of the variable "x" and  the value of the variable "y" are:

[tex]x=2 \\ y=-3[/tex]

Therefore, substituting values, you get:

[tex]3x^2+4y^2=3(2)^2+4(-3)^2=3(4)+4(9)=12+36=48[/tex]

Answer:

C

Step-by-step explanation:

If B = blue bikes

sum = addition

and 9 = red bikes

so B+9

Answer:

16

Step-by-step explanation:

If you have a 12-inch board and you are making 3/4 inch long sections, and you want to know many times you can do that here.

You just need to take 12 and divide it by the 3/4, to see how many sections you can have.

[tex]12 \div \frac{3}{4}[/tex]

Change division to multiplication by taking the reciprocal (the flipping) of the second number:

[tex]12 \cdot \frac{4}{3}[/tex]

Write 12 as a fraction:

[tex]\frac{12}{1}\cdot \frac{4}{3}[/tex]

To multiply fractions, multiply straight across on top and straight across on bottom:

[tex]\frac{(12)(4)}{(1)(3)}[/tex]

[tex]\frac{48}{3}[/tex]

16

Final answer:

By dividing the 12-inch board length by the section length of 3/4 inches, we find that 16 sections can be made.

Explanation:

The question asks how many sections of 3/4 inches can be made from a 12-inch board. To find this, divide the total length of the board by the length of each section. Calculate by dividing 12 inches by 3/4 inches (which is the same as 12 divided by 0.75 in decimal form).

Therefore, you can cut 16 sections that are 3/4 inches long each from a 12-inch board.

To solve the equation 4.25x = 21, divide both sides by 4.25 to isolate x, resulting in x = 4.94 (rounded to two decimal places).

To solve for x in the equation 4.25x = 21, we need to isolate x by performing the following steps:

Therefore, the solution to the equation is x = 4.94.

The diagonal AC can be considered a transversal to the CD and AB of tht parallelogram ABCD

The measure of ∠DAC is 34°

Reason:

The given parameters;

ABCD is a parallelogram; Given

AC is a diagonal of parallelogram ABCD; Given

m∠CAB = 21°, and m∠ADC = 125°; Given

We have;

m∠CAB ≅ m∠ACD by alternate interior angles theorem

∴ m∠CAB = m∠ACD = 21°

m∠ACD + m∠ADC + m∠DAC = 180°

m∠DAC = 180° - (m∠ACD + m∠ADC)

∴ m∠DAC = 180° - (21° + 125°) = 34°

The measure of ∠DAC = 34°

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The numbers are 10 and 3.

Step-by-step explanation:

STEP 1: Based on the problem, two equations can be set up:

First, "one number is seven less than another." This can be expressed mathematically:

Let x = first number

      y = second number

[tex]x \ - 7 = \ y[/tex]

The second equation is based on "their sum is thirteen."

[tex]x \ + \ y \ = 13[/tex]

STEP 2: Solve for the variables.

In this step, substitute the value of y from Equation 1 into Equation 2:

[tex]x \ + \ (x \ - \ 7) \ = \ 13\\2x \ - \ 7 \ = 13\\[/tex]

Next, solve for x by manipulating the equation:

[tex]2x \ = \ 13 \ + \ 7\\2x \ = \ 20\\\boxed {x \ = \ 10}[/tex]

Now that the value of x is known, it can be used to determine the value of y.

To do this, use the calculated value for x and plug it into Equation 1:

[tex]y \ = \ x \ - 7\\y \ = 10 \ - 7\\\boxed {y = \ 3}[/tex]

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Keywords: two equations, two variables

To find the two numbers where one is seven less than the other and their sum is thirteen, a system of equations is set up and solved, revealing that the only possible combination is 10 (larger number) and 3 (smaller number).

To solve the problem where one number is seven less than another and their sum is thirteen, let's set up some equations.

Let x be the larger number and y be the smaller number. We can express the two conditions in the following way:

y = x - 7  (the smaller number is seven less than the larger number)

x + y = 13 (their sum is thirteen)

Substituting the first equation into the second gives us:

x + (x - 7) = 13

Simplifying, we get:

2x - 7 = 13

Adding 7 to both sides, we have:

2x = 20

Dividing both sides by 2, we find:

x = 10

Now we substitute x back into the first equation to find y:

y = 10 - 7

y = 3

So the larger number is 10 and the smaller number is 3. There is only one possible combination of numbers that fit the given conditions.

Answer:

C: 12.5

Step-by-step explanation:

The sides x and 11 could be defined as the Adjacent angle and the Hypotenuse. This means that we will use the cos function to solve this.

First we can set up our equation

[tex]cos28=\frac{11}{x}[/tex]

Next we can solve for x by multiplying by x and dividing by [tex]cos 28[/tex]

[tex]x=\frac{11}{cos28}\\\\x=12.458\\\\x=12.5[/tex]

Answer:

c 12.5

Step-by-step explanation:

cos 28 = adjacent side/ hypotenuse

cos 28 = 11/x

Multiply each side by x

x cos 28 = 11/x *x

x cos 28 = 11

Divide each side by cos 28

x cos 28/ cos 28 =11 /cos 28

x = 11 /cos 28

x =12.45827056

To the nearest tenth

x = 12.5

Answer: 0.2

Explainations: 1/5 = 0.2

Answer:

Number would be [tex]\frac{x^{2}}{5}[/tex].

Step-by-step explanation:

Given  : One fifth of the square of a number.

To find : Expression .

Solution ; We have given One fifth of the square of a number.

According to question :

Let the number = x .

Square of the number = x².

One fifth of the square of the number = [tex]\frac{x^{2}}{5}[/tex].

Therefore, Number would be [tex]\frac{x^{2}}{5}[/tex].

Answer:

27/35

Step-by-step explanation:

(f/g)(5) means f(5)/g(5).

So we will need to find both f(5) and g(5).

f(5) means replace x with 5 in f. This gives us 7+4×5.

Let's simplify 7+4×5:

7+4×5

7+20

27.

g(5) means replace x with 5 in g. This gives us 7×5.

Simplifying 7×5 gives us 35.

(f/g)(5)=f(5)/g(5)=27/35.

Answer:

1 / x^8

Step-by-step explanation:

We know that a^b / a^c = a^ (b-c)

x^7 / x^ 15 = x^ (7-15) = x^-8

We also that that a^-b = 1/ a^b

x^-8 = 1 / x^8

Answer:

1/(x^8)

Step-by-step explanation:

Simplify by the following steps. To make it easier, I will expand them:

First, expand each of the powers out:

[tex]\frac{x^7}{x^{15} } = \frac{x* x * x * x * x * x * x}{x * x * x * x * x * x * x * x * x * x * x * x * x * x * x}[/tex]

When dividing with the same variables with different powers, you are effectively subtracting the powers. Your answer will look like:

[tex]\frac{x^7}{x^(15)} = x^{7 - 15} = x^{-8}[/tex]

Next, simplify. Note that if there is a negative sign in the power, you must change the sign into a positive by flipping the fraction.

[tex]x^{-8} = \frac{1}{x^{8} }[/tex]

1/(x^8) is your answer.

~

Answer:

Step-by-step explanation:

The point-slope form of an equation of a line:

[tex]y-y_1=m(x-x_1)[/tex]

m - slope

The formula of a slope:

[tex]m=\dfrac{y_2-y_1}{x_2-x_1}[/tex]

========================================

We have the points (-1, -4) and (1, 6). Substitute:

[tex]m=\dfrac{6-(-4)}{1-(-1)}=\dfrac{10}{2}=5[/tex]

[tex]y-(-4)=5(x-(-1))\\\\y+4=5(x+1)[/tex]

Convert it to the standard form [tex]Ax+By=C[/tex]:

[tex]y+4=5(x+1)[/tex]          use the distributive property

[tex]y+4=5x+5[/tex]         subtract 4 from both sides

[tex]y=5x+1[/tex]           subtract 5x from both sides

[tex]-5x+y=1[/tex]        change the signs

[tex]5x-y=-1[/tex]

Before the translation, the coordinates of C are (-1, 2).

If we translate C 3 to the left, it becomes (-1 - 3, 2), or (-4, 2).

If we translate C 9 down, it becomes (-4, 2 - 9), or (-4, -7).

Therefore, the coordinates of C' would be (-4, -7).

Hope this helps! :)

The requried coordinates of the translated point C' are (-4, -7). Option A is correct.

Transform the shapes on a coordinate plane by rotating, reflecting, or translating them. Felix Klein introduced transformational geometry, a fresh viewpoint on geometry, in the 19th century.

Here,

The coordinates of point C before translation are (-1, 2). If we move point C 3 units to the left, its new coordinates would be (-1 - 3, 2), or (-4, 2). If we then move point C 9 units down, its new coordinates would be (-4, 2 - 9), or (-4, -7).

Therefore, the coordinates of the translated point C' are (-4, -7).

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Answer:

(-1,4) This is the solution for the given system

Step-by-step explanation:

The first graph is shown in the first picture attached, it has the points (3,0) and (0,3)

The other graph is attached as well

The solution for this system is the interception between the graph

Answer:

Step-by-step explanation:

[tex]\left\{\begin{array}{ccc}\dfrac{1}{3}x+\dfrac{1}{4}y=1&\text{multiply both sides by 12}\\2x-3y=-30\end{array}\right\\\left\{\begin{array}{ccc}12\!\!\!\!\!\diagup^4\cdot\dfrac{1}{3\!\!\!\!\diagup_1}x+12\!\!\!\!\!\diagup^3\cdot\dfrac{1}{4\!\!\!\!\diagup_1}y=12\cdot1\\2x-3y=-30\end{array}\right\\\left\{\begin{array}{ccc}4x+3y=12\\2x-3y=-30&\text{multiply both sides by (-2)}\end{array}\right\\\underline{+\left\{\begin{array}{ccc}4x+3y=12\\-4x+6y=60\end{array}\right}\qquad\text{add both sides of the equations}[/tex]

[tex].\qquad9y=72\qquad\text{divide both sides by 9}\\.\qquad y=8[/tex]

Answer:

8

Step-by-step explanation: