A dump truck has a 10 foot bed. When tilted at its maximum angle, the bed reaches a height of 7 feet above it original position. What is the maximum angle that the truck bed can tilt?

Answer:

14 I think

Step-by-step explanation:

Tell me if I'm wrong

Answer:

14

mark me brainy plz!

Step-by-step explanation:

Answer:

1. (3,-1) and (5,4)  

[tex]Distance\ = 5.39[/tex]    

2. (2,3) and (4,5)

[tex]Distance\ = 2.83[/tex]

3. (-5,7) and (8,5)

[tex]Distance = 13.15[/tex]

4. (-2,4) and (3,-1)

[tex]Distance = 7.07[/tex]

Step-by-step explanation:

Given

The attached

Required

Calculate the distance between each points;

Distance between points is calculated using;

[tex]d =\sqrt{(x_1 - x_2)^2 + (y_1 - y_2)^2}[/tex]

1. (3,-1) and (5,4)

Here; [tex]x_1 = 3; x_2 = 5; y_1 = -1; y_2 = 4[/tex]

Substitute these values in the formula above

[tex]d =\sqrt{(3 - 5)^2 + (-1 - 4)^2}[/tex]

[tex]d =\sqrt{- 2^2 + (-5^2)}[/tex]

[tex]d =\sqrt{4 + 25}[/tex]

[tex]d =\sqrt{29}[/tex]

[tex]d = 5.39[/tex]    (Approximated)

2. (2,3) and (4,5)

Here; [tex]x_1 = 2; x_2 = 4; y_1 = 3; y_2 = 5[/tex]

Substitute these values in the formula above

[tex]d =\sqrt{(2 - 4)^2 + (3 - 5)^2}[/tex]

[tex]d =\sqrt{- 2^2 + (-2^2)}[/tex]

[tex]d =\sqrt{4 + 4}[/tex]

[tex]d =\sqrt{8}[/tex]

[tex]d = 2.83[/tex]    (Approximated)

3. (-5,7) and (8,5)

Here; [tex]x_1 = -5; x_2 = 8; y_1 = 7; y_2 = 5[/tex]

Substitute these values in the formula above

[tex]d =\sqrt{(-5 - 8)^2 + (7 - 5)^2}[/tex]

[tex]d =\sqrt{- 13^2 + 2^2}[/tex]

[tex]d =\sqrt{169 + 4}[/tex]

[tex]d =\sqrt{173}[/tex]

[tex]d = 13.15[/tex]    (Approximated)

4. (-2,4) and (3,-1)

Here; [tex]x_1 = -2; x_2 = 3; y_1 = 4; y_2 = -1[/tex]

Substitute these values in the formula above

[tex]d =\sqrt{(-2 - 3)^2 + (4 - (-1))^2}[/tex]

[tex]d =\sqrt{- 5^2 + (4+1)^2}[/tex]

[tex]d =\sqrt{- 5^2 + 5^2}[/tex]

[tex]d =\sqrt{25 + 25}[/tex]

[tex]d =\sqrt{50}[/tex]

[tex]d = 7.07[/tex]    (Approximated)

Answer:

1.03x

Step-by-step explanation:

1 year b would be the inital investment added with interest

i believe this is the equation

b = x + r(x)= (1 + r)x

and since it says 3% each year we know its 0.03 (r)

and when you solve it out you get that answer

Answer:

(VOLUME) A=24 cubic units B=98 cubic units C=36 cubic units D=64 cubic units

Step-by-step explanation:

To find Volume you multiply length, height and width.

Answer:1

Step-by-step explanation:distribute 3 through the parentheses, move variable to the left hand side and change it’s sign, move constant to the right hand side and change its sign , collect like terms , subtract the numbers and then divide .

Answer:

The difference of z and y must be 2x.

The statement that will be correct is, the difference of z and y must be 2x, the correct option is C.

According to Angle of Intersecting Secants Theorem, If two chords extended as secants intersect outside a circle , then the measure of the angle formed by the secants is half the difference of the measures of the intercepted arcs .

The measure of the intercepted arc is z and y

and the measure of the angle formed is x

According to the theorem, the measure of x = ( z-y) /2

The missing image is attached with the answer.

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This problem requires multiple steps, so please read through the whole answer to get a good understanding on how to solve this problem

Step 1: Create an equation for the perimeter respect to x

The equation for the perimeter p is:

[tex]p=2w+2l[/tex] where w is the width and l is the length

The length is 3x+4 and the width is 2x-1, so substitute these values into the equation:

[tex]p=2(3x+4)+2(2x-1)[/tex]

[tex]=6x+8+4x-2[/tex]

[tex]=10x+6[/tex]

This is the equation for the perimeter

Step 2: Solve for x since we are given the perimeter

We are given that the perimeter is 96, thus we can create the equation:

[tex]10x+6=96[/tex]

Subtract 6 from both sides

[tex]10x=90[/tex]

Divide both sides by 10

[tex]x=9[/tex]

We have now found the value of x

Step 3: Find the length and width now that we know x

Plug the value of x into the expressions for the length and the width that we are given

[tex]\text{Length}=3x+4=3(9)+4=31[/tex]

[tex]\text{Width}=2x-1=2(9)-1=17[/tex]

Step 4: Solve for the area now that we know the dimensions

This is probably the easiest step. Multiply the length and width to find the area:

[tex]31 \times 17=527[/tex]

The area of the patio is 527.

I've double- and triple-checked that this is the correct answer, so do not worry about any errors.

Let me know if you need any clarifications, thanks!

(ﾉ◕ヮ◕)ﾉ*:･ﾟ✧

Answer:

Padoru Deserves a brainliest

Step-by-step explanation:

So i wrote this answer so she could have one please give them a brainliest

Answer:

C. -186,205

Step-by-step explanation:

636,854 - 827,155 + 684,862 - 680,766

=> 1,321,716 - 1,507,921

=> -186,205

The population change of the given data set will be as 82,031,595. so the correct option is C.

The unitary method is a method for solving a problem by the first value of a single unit and then finding the value by multiplying the single value.

Germany has a population of 82,217,800. If there are 636,854 births, 827,155 deaths, 684,862 immigrants, and 680,766 emigrants.

WE need to find the population change.

Now, we have to add the births, deaths and subtact 680,766;

82,217,800 + 636,854 - 827,155 + 684,862 - 680,766

= 82,031,595

Therefore, the population change of the given data set will be as 82,031,595.

So the correct option is C.

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Answer:

x - ( -8) = 1; x = -7

x - ( -13) = 17; x =

Step-by-step explanation:

x - ( -8) = 1 = x + 8 = 1

x = -7

x - ( -13) = 17 = x + 13 = 17

x = 4

Answer:

see below

Step-by-step explanation:

x - ( -8) = 1

Subtracting a negative is like adding

x+8 =1

Subtract 8 from each side

x+8-8= 1-8

x=-7

x - ( -13) = 17

Subtracting a negative is like adding

x+13 =17

Subtract 13 from each side

x+13-13= 17-13

x=4

Answer:

5

Step-by-step explanation:

Firstly, I'm not from the USA so I'm not sure if I've understood the question correctly (different phrasing of the question here in the UK), but I hope I've done this right and this helps! :)

Method 1:

I would draw the graph! It makes it easier to visualise. You don't have to do a neat proper graph, just scribble something down. If you then count the number of squares between point A and point B you would get 5.

Method 2:

This is probably a more MATHEMATICAL method, but I think Method 1 or Method 2 are both fine. Since we are only asked about point A and point B, we don't have to think about points C or D. Since this is a rectangle, we know that the line would be straight and would also likely be perpendicular / parallel to the x or y axis. If we compare the coordinates of points A and B, we can see that they both have -6 in them: this shows us that these points are along the same row. So all you have to do is find the difference between the tow other points, i.e. the -8 in A and the -3 in B. -3 minus -8 = 5. So that gives you the length of the side.

I hope this helped, sorry for the lengthy explanation and slightly dodgy vocabulary (?).

Bluey

Answer:

Step-by-step explanation:

You could use distance formula to find the length

A( -8, -6) ; B(-3,-6)

Distance= [tex]\sqrt{(x_{2}-x_{1})^{2}+(y_{2}-y_{1})^{2}}[/tex]

[tex]AB =\sqrt{(-3-[-8])^{2}+(-6-[-6])^{2}}\\\\=\sqrt{(-3+8)^{2}+(-6+6)^{2}}\\\\= \sqrt{(5)^{2}+0}\\\\= \sqrt{5^{2}}\\[/tex]

AB = 5 units

Answer:

16

Step-by-step explanation:

you would use the reciprocal when changing it from division to multiplication. So, it would be -8x-2 which equals 16.

Answer:

the answer is below

Step-by-step explanation:

a = 25  

b =  100

c =  17

d =  68

Answer:

The correct answer is

a=  25

b = 100

c = 17

d = 68

Step-by-step explanation:

Answer:

Isosceles Triangle

Step-by-step explanation:

An equilateral triangle is a triangle that has all of its 3 sides at an equal length. After drawing out the given points on a graph, you can clearly see that the foundation is longer than the other 2 sides. Because the 2 sides that I just mentioned happen to be of equal length, however, means that this triangle can be none other than an Isosceles triangle. If I did anything wrong here, let me know. Have a good rest of your day.  :D

Answer:

ΔPQR is an isosceles triangle.

Step-by-step explanation:

Answer:

1,788

Step-by-step explanation:

You calculate the volume of the cylinder minus the volume of the cube

[tex]volume = (\pi*r^2*height) - (width*lenght*height)\\ volume = (\pi*10^2*6) - (4*4*6) [yards]\\volume = 1,788[/tex]

The volume of solid in cubic yards is 1,788 cubic yards

What is the Volume of a Rectangle?

The volume of the rectangle is given by the product of the length of the rectangle and the width of the rectangle and the height of the rectangle

Volume of Rectangle = Length x Width x Height

Volume of Rectangle = Area of Rectangle x Height

Given data ,

The radius of the solid = 10 yards

The height of the solid = 6 yards

The length of the box = 4 yards

The width of the box = 4 yards

Now ,

The volume of the solid = Volume of the cylinder - Volume of box

And ,

The Volume of cylinder = π x r² x h

The Volume of box = length x width x height

So , substituting the values in the equation , we get

Volume of Cylinder = π x r² x h

                                = ( 22/7 ) x 10 x 10 x 6

                                = ( 22/7 ) x 600

                                = 1884.95 yards³

Volume of the box = length x width x height

                               = 4 x 4 x 6

                               = 96 yards³

Therefore ,

The volume of the solid = Volume of Cylinder - Volume of the box

The volume of the solid = 1884 yards³ - 96 yards³

                                        = 1788 yards³

Hence , the volume of the solid is 1788 cubic yards

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Answer:

D) 0.42 + 0.17 x = 0.93

Step-by-step explanation:

0.93 - 0.42 = 0.51

0.51 / 0.17 = 3

3 ounces and the answer is D

Answer:

D) 0.42 + 0.17 x = 0.93

Step-by-step explanation:

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Take the root of both sides and solve.

[tex]r = \sqrt{( m - n + h ) ( m - n - h)} \\r = \sqrt{( m - n + h ) ( m - n - h)} \\[/tex]

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Hope this helped you.

Could you maybe give brainliest..?

❀*May*❀

Answer:

1) A bar diagram with 2 shaded squares and 8 unshaded squares.

Step-by-step explanation:

There are 100 students (40+15+20+25).

20 signed up for Track and Field.

20 out of 100 would equate to 20/100, or 2/10, or:

1) A bar diagram with 2 shaded squares and 8 unshaded squares.

Answer:

a

Step-by-step explanation:

the two squares are shaded and eight are not

Answer:

Step by step explanation

[tex] \frac{5}{9} x = 90[/tex]

Multiply both sides of equation by 9/5

[tex] \frac{9}{5} \times \frac{5}{9} x = \frac{9}{5} \times 90[/tex]

Reduce the numbers with Greatest common factor 9

[tex] \frac{1}{5} \times 5x = \frac{9}{5} \times 90[/tex]

Reduce the numbers with G.C.F 5

[tex]x = 9 \times 18[/tex]

Multiply the numbers

[tex]x = 162[/tex]

Hope this helps..

Best regards!!

Answer:

1 62

Step-by-step explanation:

Answer:

94

Step-by-step explanation:

There is a common pattern.

4² = 16

Switch digits 16 ⇒ 61

5² = 25

Switch digits 25 ⇒ 52

6² = 36

Switch digits 36 ⇒ 63

7² = 49

Switch digits 49 ⇒ 94

Answer:

Hey there!

The formula for cylinder volume is [tex]r^2h\pi[/tex], where r is the radius, h is the height, and [tex]\pi[/tex] is a constant, roughly equal to 3.14.

Substituting all of these values into the equation:

[tex]8^2(4)(3.14)[/tex]

[tex]804.84\\[/tex]

Thus, the volume for the cylinder is 804.84 units cubed.

Hope this helps :)

Answer:

804.25 [tex]units^{3}[/tex]

Step-by-step explanation:

The formula of the volume of a cylinder is [tex]V=\pi r^{2} h[/tex] where r represents the radius and h represents the height. To find a more exact answer, I usually use pi in my calculator rather than 3.14, unless asked to do so.

[tex]V=\pi (8)^{2} (4)[/tex]

[tex]V=\pi (64)(4)[/tex]

[tex]V=\pi (256)[/tex]

[tex]V=804.25[/tex]

Answer:

3.8%

Step-by-step explanation:

there r 2 black 10

2÷52×100=3.8

Answer:

(-6,6), (0,12), (4,8)

Step-by-step explanation:

To dilate an object, we need to multiply the x and y values by the given scale factor.

In this case the scale factor is 2 --> 2(x, y)

Before-> After dilation

2(-3,3) = (-6,6)

2(0,6) = (0,12)

2(2,4) = (4,8)

Please leave a 'thanks' if this helps!

Answer:

False

Step-by-step explanation:

3x2 is 6 and 6 +4 is not 0 it is ten 10 norder of operations

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                Hi my lil bunny!

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Lets do this step by step.

Simplify [tex]\frac{3x - 2}{x} -4[/tex].

To write -4 as a fraction with a common denominator, multiply by [tex]\frac{x}{x}[/tex]

[tex]\frac{3x - 2}{x} - 4 . \frac{x}{x} > 0[/tex]

Combine  -4 and [tex]\frac{x}{x}[/tex].

[tex]\frac{3x - 2}{x} + \frac{-4x}{x} > 0[/tex]

Combine the numerators over the common denominator.

[tex]\frac{3x - 2 -4x}{x} > 0[/tex]

Subtract 4x from 3x.

[tex]\frac{-x -2}{x} > 0[/tex]

Factor -1 out of -x.

[tex]\frac{-(-x) -2}{x} >0[/tex]

Rewirte -2 as -1 (2).

[tex]\frac{-(x -1 (2)}{x} > 0[/tex]

Factor -1 out of - (x) - 1 (2).

[tex]\frac{-(x + 2)}{x} >0[/tex]

Simplify the Expression.

_______________

Rewrite - ( x + 2 ) as -1 ( x + 2 ) .

[tex]\frac{-1 ( x+ 2)}{x} > 0[/tex]

Move the negative in front of the fraction.

[tex]- \frac{x + 2}{x} > 0[/tex]

Then your going to find all the values where the expression switches from negative to positive by setting each factor equal to 0  and solving.

[tex]x = 0\\x + 2 = 0[/tex]

Subtract 2 from both sides of the equation.

[tex]x = -2[/tex]

Solve for each factor to find the values where the absolute value expression goes from negative to positive.

[tex]x = 0 \\x = -2[/tex]

Consolidate the solutions.

[tex]x = 0, -2[/tex]

________________

Find the domain of [tex]\frac{3x - 2}{x} -4[/tex]

_________________

Set the denominator in [tex]\frac{3x - 2}{x}[/tex]  equal to 0 to find where the expression is undefined.

[tex]x = 0[/tex]

The domain is all values of x that make the expression defined.

( - ∞, 0 ) ∪ ( 0 , ∞)

Use each root to create test intervals.

[tex]x < -2 \\-2 < x < 0 \\x > 0[/tex]

|Choose a test value from each interval and plug this value into the original inequality to determine which intervals satisfy the inequality.|

Test a value on the interval -2 < x < 0 to see if it makes the inequality true.

Ans : True

Test a value on the interval x > 0 to see if it makes the inequality true.

Ans : False

Test a value on the interval x < -2  to see if it makes the inequality true.

Ans : False

Compare the intervals to determine which ones satisfy the original inequality.

[tex]x < -2 = False\\-2 < x < 0 = True\\x > 0 = False[/tex]

The solution consists of all of the true intervals.

[tex]-2 < x < 0[/tex]

The result can be shown in multiple forms.

Inequality Form: [tex]-2 < x< 0[/tex]

Interval Notation: [tex]( -2 , 0 )[/tex]

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Hope this helped you.

Could you maybe give brainliest..?

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Answer:

75

Step-by-step explanation:

We just need to plug in -5 for a so the answer is:

3a² = 3 * (-5)² = 3 * 25 = 75

Answer:

75

Step-by-step explanation:

A= (-5)²= 25

3(25)=75

Answer:

1/3

Step-by-step explanation:

There are 9 possible outcomes

We want the ones that have the same color which are GG , YY or BB

P ( same color) = number of same color outcomes / total outcomes

                          = 3/9

                          =1/3

Answer:

1/3

Step-by-step explanation:

3/9, simplify to 1/3

Answer:

A= 30zy

Step-by-step explanation:

Let the area of the tiled parts of the bathroom be A.

A= area of 30 tiles

A= 30( length × height of tiles)

A= 30(z)(y)

A= 30zy

Answer:

A, B, C

Step-by-step explanation:

4 - (-5) + 0

4 - (-5) = 4 + 5 (because a negative + negative = positive)

4 + 5 = 9

a, b and c all equal 9

hopefully this helped you!! :3