All Answers 358516 Answers

D = Dad,   G = Grogg

D - 7 = 6[G - 7],   

D  -  5 =5[G - 5], solve for G, D

G = 15 years - Grogg's current age

D = 55 years - Dad's current age.

Note: For the 2nd part, I used 5 years instead of 4 years ago, because 4 years ago, you get fractions in Grogg's age. You are not supposed to have fractions in questions of this sort. You can change it.

C=Candy bar,  B=Bubble gum

C  +  B =1.50.............(1)

C = B  +  1.................(2), solve for B, C

C =1.25 - cost of 1 Candy bar

B =0.25 - cost of a bubble gum.

CORRECTION TO THE ABOVE  

CHANGE THIS PARAGRAPH

Next, the triangle at the top left.

The vertical angle of the 70^o is 70^o.  The other side of the 110^o is 70^o.

70^o plus 70^o is 140^o so the angle labled A = 40^o. 

TO THIS PARAGRAPH: 

Next, the triangle at the top left.  

The vertical angle of the 70^o is 70^o.  The other side of the 100^o is 80^o.  

70^o plus 80^o is 150^o so the angle labled A = 30^o. 

A silly typo.  The bad part is, I checked it several times before I posted it. 

_.

Where is "the diagram", lazy?

This question has been asked many tims recently. 
One of the others has proper answers.

Ohhhh OK OK thank you so much!! This really helped :)

ok thx

The angles in a triangle sum up to how many degrees? You should know this from your Trig Textbook.

A triangle has 180 degrees.

Add up all the angles of the triangle:

62  +  43  +  (7x - 16)=180

(7x  -16) = 180 - 62 - 43 = 75

(7x  -  16) = 75

7x = 75 + 16 = 91

x = 92 / 7 = 13

x = 13 degrees.

The question is  in LaTeX but the simplified version is :

Let A, B and C be the angles of a triangle. Evaluate:

                                                                                           \(\begin{vmatrix} \sin^2 A & \cot A & 1 \\ \sin^2 B & \cot B & 1 \\ \sin^2 C & \cot C & 1 \end{vmatrix}.\)

What is the interior degree measure of angle A?   

We're going to use three mathematical facts. 

1.  A straight line is 180^o  

2.  The interior angles of a triangle total 180^o  

3.  Vertical angles are equal.  

Start with the triangle at the bottom left.  

It already has 40^o showing. The other side of the 110^o is 70^o.  

40^o plus 70^o is 110^o so the angle at the top left of that triangle is 70^o.  

Next, the triangle at the top left.  

The vertical angle of the 70^o is 70^o.  The other side of the 110^o is 70^o.  

70^o plus 70^o is 140^o so the angle labled A = 40^o.   

_.

I agree withe you so, if there is another question like this you don't need to write or see if it's there. You can solve it yourself.

Sure, I can help you with that. To reflect a vector across a line in 3 dimensions, you can use the following steps:

Find the projection of the vector onto the line.

Rotate the projection by 180 degrees around the line.

The result of the rotation is the reflected vector.

To find the projection of a vector onto a line, you can use the following formula:

Code snippet

Projection = (Dot Product) / (Dot Product of the unit direction vector of the line with itself)

Use code with caution. Learn more

copy

Where:

Projection is the projection of the vector onto the line.

Dot Product is the dot product of the vector and the unit direction vector of the line.

Unit Direction Vector of the Line is a vector that points in the same direction as the line and has a magnitude of 1.

To rotate a vector by 180 degrees around a line, you can use the following formula:

Code snippet

Rotated Vector = 2 * Projection - Vector

Use code with caution. Learn more

copy

Where:

Rotated Vector is the rotated vector.

Projection is the projection of the vector onto the line.

Vector is the original vector.

For example, let's say we have the vector v = (1, 2, 3) and the line l = (1, 0, 0) + t (0, 1, 1).

To find the projection of v onto l, we would use the following formula:

Code snippet

Projection = (v dot (1, 0, 0) + t (0, 1, 1)) / (dot product of (1, 0, 0) + t (0, 1, 1) with itself)

Use code with caution. Learn more

copy

Code snippet

Projection = ((1 * 1) + (2 * 0) + (3 * 0)) / ((1 * 1) + (0 * 0) + (0 * 1))

Use code with caution. Learn more

copy

Code snippet

Projection = 1 / 1

Use code with caution. Learn more

copy

Code snippet

Projection = 1

Use code with caution. Learn more

copy

So, the projection of v onto l is (1, 0, 0).

To rotate v by 180 degrees around l, we would use the following formula:

Code snippet

Rotated Vector = 2 * Projection - Vector

Use code with caution. Learn more

copy

Code snippet

Rotated Vector = 2 * (1, 0, 0) - (1, 2, 3)

Use code with caution. Learn more

copy

Code snippet

Rotated Vector = (2, -4, -6)

Use code with caution. Learn more

copy

So, the rotated vector is (2, -4, -6).

I hope this helps! Let me know if you have any other questions.

There are 8 acute angles.

23/48

Step-by step explantion.

Let each side of triangle XYZ have length s. We therefore have:

s = YZ = YQ + QR + RZ = x + 2y

Since each side of triangle X1 Y2 Z2 is 3/4 the length of the corresponding side of triangle XYZ, we have:

3/4s = X1 Z1 = X1 Q + QP + P Z1 = 2x +y.

The system of equations:

x + 2y = s

2x + y = 3/4s

Multiply the second equation by 2, then subtract the first equation.

3x = 1/2s, so x = 1/6s.

Now we have y = 3/4s-2x = 5/12s. 

A/[XYZ] = [XYZ] - 3[YPQ]/[XYZ]

= {[XYZ] - 3[(25)/144] * [XYZ]} / [XYZ]

={23/48* [XYZ]} / [XYZ]

= 23/48

Cannot answer " url question "

n = 3.

How to obtain the smallest integer?

The seven integers are consecutive, hence they are represented in function of the smallest integer n as follows:

n, n + 1, n + 2, n + 3, n + 4, n + 5, n + 6.

The sum of the integers is equals to 14/3 times the largest integer, which is of (n + 6), hence the expression to obtain n is given as follows:

n + n + 1 + n + 2 + n + 3 + n + 4 + n + 5 + n + 6 = 14/3(n + 6)

7n + 21 = 14n/3 + 28

21n/3 - 14n/3 = 7

7n/3 = 7

7n = 21.

n = 3.

Well ' I ' concluded because from looking at the problem:

a^3-b^3 / a^3b^3+a^2b^4+ab^5 it is a fraction correct?

And from the fraction the calue of variable of a expression are excluded for which expression does not exist, where denominator is going to be zero those value going to be excluded. So making the denominator ( NOT ' 0 ' ) so like in The question best fits the problem: 

I need to find point where it become zero we put 6x²yz equal to 0

6x²yz = 0

Making the new problem of:x² = 0  or y = 0 or z = 0

x² = 0  or y = 0 or z = 0

and concealing the problem making option a correct.

I don't get how you got that answer. The variables are A and B. 

x,y,z=0

Step-by-step explanation:

For this case we have the following expression:
 3x ^ 2y ^ 2-6xz / 6x ^ 2yz
 From here, we must exclude all values that make the denominator equal to zero.
 We have then:
 6x ^ 2yz = 0
 Therefore, the results are:
 x = 0
 y = 0
 z = 0
 Answer:
 The exclusion that fits best with this problem is:
 x, y, z = 0

When five times a number is divided by 7 more than the number and the result is 2, then the number is 14/3, which is solved using the linear equation in one variable 5x/(x+ 7) = 2, where x is the required number.

What are linear equations in one variable?

Linear equations are first-order equations. Lines in the coordinate system are determined by linear equations. A linear equation in one variable is defined as an equation with a homogeneous variable of degree 1 (i.e. only one variable).

How to solve the given question?

In the question, we are asked to find a number, which satisfies the statement, "Five times a number is divided by 7 more than the number. The result of this division is 2".

We assume the number to be x.

Now we try to form a linear equation in one variable from the given statement.

Five times a number is 5x.

7 more than a number is x + 7.

We are said that five times a number is divided by 7 more than a number. This can be shown as 5x/(x + 7).

Now, the result is given as 2, which can be shown as:

5x/(x+ 7) = 2, which is the required linear equation in one variable.

To get the number, we solve the equation using the following steps:

5x/(x+ 7) = 2

or, {5x/(x+ 7)}*(x + 7) = 2*(x + 7) (Multiplying both sides by (x + 7))

or, 5x = 2x + 14 (Simplifying)

or, 5x - 2x = 2x + 14 - 2x (Subtracting 2x from both sides)

or, 3x = 14 (Simplifying)

or, 3x/3 = 14/3 (Dividing both sides by 3)

or, x = 14/3 (Simplifying)

∴ When five times a number is divided by 7 more than the number and the result is 2, then the number is 14/3, which is solved using the linear equation in one variable 5x/(x+ 7) = 2, where x is the required number.

The tank capacity is 24 gallons

Step-by-step explanation:

Let the tank capacity be c.

Then (1/6)c + 2 = (1/4)c, or (since the LCD is 12):

2c/12 + 24/12 =  3c/12, or

24/12 = c/12

Multiplying both sides by 12, we get:

24 = c

The tank capacity is 24 gallons.

28

Step-by-step explanation

In order to solve this problem we need to find out what $QR$ is.

We know that the perimeter of the parallelogram was given as $24$ and that two of the sides were given as $5$. $5+5=10$ $24-10=14/2=7$. Now we know that the base was $7$.

We can find the height by taking the area that they gave us and dividing that by $7$. We get $4$.

Since we now know that the height of the parallelogram is $4$ that means $OQ$ is also $4$.

Next we need to find what $RT$ is.  

$4^2+B^2=5^2$.

Since we now $5^2$ is $25$ and that $4^2$ is $16$, we can use the following equation.

$25-16=9$. $\sqrt{9}=3$.  

Now we know that $RT$ is $3$ we can start adding the sides.

$7+3=10+4=14 \cdot 2=28$.

28

* I have answered this before so I will put it again *

How did you get -a^3?