Two integers are relatively prime if, and only if, their greatest common divisor is 1. For example, 2 and 3 are relatively prime, 1 and 1 are relatively prime, but 2 and 2 are not. You toss two dice, one blue and one gray. What is the probability that when the dice stop rolling that the pip count on the blue die is relatively prime to the pip count on the gray die and the gray die is showing six pips

Answers

Answer 1

Answer:

A woman wants to measure the height of a nearby building. She places a 7 ft pole in the shadow of the building so that the shadow of the pole is exactly covered by the shadow of the building. The total length of the building's shadow is 184 ft, and the pole casts a shadow that is 5.5ft long. How tall is the building? Round your answer to the nearest foot. (The figure is not drawn to scale.)

Step-by-step explanation:

A woman wants to measure the height of a nearby building. She places a 7 ft pole in the shadow of the building so that the shadow of the pole is exactly covered by the shadow of the building. The total length of the building's shadow is 184 ft, and the pole casts a shadow that is 5.5ft long. How tall is the building? Round your answer to the nearest foot. (The figure is not drawn to scale.)A woman wants to measure the height of a nearby building. She places a 7 ft pole in the shadow of the building so that the shadow of the pole is exactly covered by the shadow of the building. The total length of the building's shadow is 184 ft, and the pole casts a shadow that is 5.5ft long. How tall is the building? Round your answer to the nearest foot. (The figure is not drawn to scale.)A woman wants to measure the height of a nearby building. She places a 7 ft pole in the shadow of the building so that the shadow of the pole is exactly covered by the shadow of the building. The total length of the building's shadow is 184 ft, and the pole casts a shadow that is 5.5ft long. How tall is the building? Round your answer to the nearest foot. (The figure is not drawn to scale.)


Related Questions

solution set of (3x+7)^2+5=(7x-9)^2x+5

Answers

Rearrange:

Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation :

(3*x+7)^2+5-((7*x-9)^2*x+5)=0

Step by step solution :

STEP1:

Equation at the end of step 1

(((3x+7)2)+5)-(x•(7x-9)2+5) = 0

STEP2:

Checking for a perfect cube

2.1 -49x3+135x2-39x+49 is not a perfect cube

Trying to factor by pulling out :

2.2 Factoring: -49x3+135x2-39x+49

Thoughtfully split the expression at hand into groups, each group having two terms :

Group 1: -39x+49

Group 2: -49x3+135x2

Pull out from each group separately :

Group 1: (-39x+49) • (1) = (39x-49) • (-1)

Group 2: (49x-135) • (-x2)

Factoring by pulling out fails :

The groups have no common factor and can not be added up to form a multiplication.

Polynomial Roots Calculator :

Find roots (zeroes) of : F(x) = -49x3+135x2-39x+49

Polynomial Roots Calculator is a set of methods aimed at finding values of x for which F(x)=0

Rational Roots Test is one of the above mentioned tools. It would only find Rational Roots that is numbers x which can be expressed as the quotient of two integers

The Rational Root Theorem states that if a polynomial zeroes for a rational number P/Q then P is a factor of the Trailing Constant and Q is a factor of the Leading Coefficient

In this case, the Leading Coefficient is -49 and the Trailing Constant is 49.

The factor(s) are:

of the Leading Coefficient : 1,7 ,49

of the Trailing Constant : 1 ,7 ,49

Let us test ....

Equation at the end of step

2

:

-49x3 + 135x2 - 39x + 49 = 0

STEP

3

:

Cubic Equations:

3.1 Solve -49x3+135x2-39x+49 = 0

Future releases of Tiger-Algebra will solve equations of the third degree directly.

Meanwhile we will use the Bisection method to approximate one real solution.

Approximating a root using the Bisection Method :

We now use the Bisection Method to approximate one of the solutions. The Bisection Method is an iterative procedure to approximate a root (Root is another name for a solution of an equation).

The function is F(x) = -49x3 + 135x2 - 39x + 49

At x= 3.00 F(x) is equal to -176.00

At x= 2.00 F(x) is equal to 119.00

Intuitively we feel, and justly so, that since F(x) is negative on one side of the interval, and positive on the other side then, somewhere inside this interval, F(x) is zero

Procedure :

(1) Find a point "Left" where F(Left) < 0

(2) Find a point 'Right' where F(Right) > 0

(3) Compute 'Middle' the middle point of the interval [Left,Right]

(4) Calculate Value = F(Middle)

(5) If Value is close enough to zero goto Step (7)

Else :

If Value < 0 then : Left <- Middle

If Value > 0 then : Right <- Middle

(6) Loop back to Step (3)

(7) Done!! The approximation found is Middle

Next Middle will get us close enough to zero:

F( 2.596896529 ) is 0.000000414

The desired approximation of the solution is:

x ≓ 2.596896529

Note, ≓ is the approximation symbol

One solution was found :

x ≓ 2.596896529

Round 0.13171 to the thousandths place (three decimal places).

Answers

Answer is 0.132 ........
0.132, and that’s pretty much it

The length of a rectangle is three times its width. if the area of the rectangle is 75 in2, find its perimeter.

Answers

Answer:

  40 in

Step-by-step explanation:

For a width of w, the length is 3w and the area and perimeter are ...

  A = LW = (3w)(w) = 3w^2

  P = 2(L+W) = 2(3w +w) = 8w

We are given the area, so we can find w to be ...

  75 in^2 = 3w^2

  25 in^2 = w^2 . . . . . divide by 3

  5 in = w . . . . . . . . . square root

Then the perimeter is ...

  P = 8w = 8(5 in) = 40 in

What is the value of v?

Answers

By isosceles triangle theorem,

Angle ZXY = Angle ZYX

The sum of the angles in a triangle is 180 degrees.

106 + 2 same angles (-106) = 180 (-106)  (Subtract 106 by both sides)

2 same angles (/ 2) = 74 (/ 2)   (Divide 2 by both sides)

V = 37

Answer:

The value of v is 37°.

Step-by-step explanation:

Given that △ XYZ is an isosceles triangle where both sides have the equal angles. The total angle of △ is 180°. Let ∠ZXY and ∠ZYX be the same angles:

Let ∠ZXY = v, ∠ZYX = v, ∠ XZY = 106°,

∠ZXY + ∠ZYX + ∠XZY = 180°

v + v + 106° = 180°

2v + 106° = 180°

2v = 180° - 106°

2v = 74°

v = 74 ÷ 2

v = 37°

1cm +4cm+2cm+1.5cm+2.5cm
find its perimeter

Answers

Answer:

11 cm

Step-by-step explanation:

add whole numbers

1 + 4 + 2 = 7

add decimal numbers

1.5 + 2.5 = 4

add the answers

7 + 4 = 11

have a splendid day <3

Answer:

11cm

Step-by-step explanation:

To find perimeter, you simply just add each of the side lengths.

To make this easier to read, lest group some of the terms

1cm + 4cm = 5cm

2cm + 1.5cm = 3.5cm

5cm + 3.5cm = 8.5cm

8.5cm + 2.5cm = 11cm

The five terms are bolded to make sure that we added each term in the sum.

answer this question fast

Answers

Answer:

0.09

Step-by-step explanation:

name the following geometric figures in as many ways as you can.
•————•
X W

Answers

•————•

X W

This is called as line segment XW. The 2 dots at the ends indicate that the line segment has a starting point & an end point.

______

RainbowSalt2222 ☔

In the coordinate plane, the points A(-8, -6), B(-9, 11), and C(3. - 7) are reflected over the y-axis to the points A, B, and C', respectively. What are the coordinates of A' B', and C'?​

Answers

Answer:

A' = (8,-6)

B' = (9,11)

C' = (-3,-7)

Step-by-step explanation:

When reflecting a point over the y axis, multiply the point's x coordinate by -1. Do this for each point and you have your answer.

Evaluate. (2a−1/3)÷b/15 when a=−4/5 and b=−2.25 Enter your answer as a simplified mixed number in the box.

Answers

[tex](2a - ⅓) \div \frac{b}{15} \\ (2 \times - \frac{4}{5} ) \div \frac{ - 2.25}{15} \\ - \frac{8}{5} \times \frac{15}{ - 2.25} \\ = \frac{ - 8}{ - 6.75} = \frac{8}{6.75} [/tex]

4. Simplify: -3(2x - 5)-2(4x+3)
A.14x-9
B.-2x+21
C.-14x+9
D.-14x+ 21



Can someone help me ?

Answers

your answer will be c. -14x+9
the answer is C. -14x+9


distribute numbers outside parentheses then combine like terms.

Help help math please help help help help

Answers

Answer:

Answered is x= 55x

Step-by-step explanation:

13x+10 * 12x+20

soln:

or, 13x+12x+10+20

or, 25x+30

:., therefore, x=55x

2x - 5y = 6 and -2x + 7y = 14

*Using elimination*​

Answers

2x-5y+ (-2x) + 7y= 6+14
2y = 20
y= 10
2x-5(10)=6
2x= 56
x= 28
here is the ans.hope this helps!

What is equivalent to 6 + 3 x 9 - 4

Answers

Answer:

29

Step-by-step explanation:

6 + 3 x 9 - 4

6 + 27 - 4

33 - 4

=29

Write 5 • 5 • 5 • 5 • 5 • 5 • 5 using an exponent.

Answers

Answer:

5^6

Step-by-step explanation:

5 was multiplied repeatedly 6 times, so it's 5 to the power of 6

Answer:

5 to the power of 6 or 5^6

Step-by-step explanation:

Can someone please explain this to me please?
Will give brainly if you actually answer the question

Answers

Answer:

Step-by-step explanation:

24)

3x - 10 > 2

3x - 10 + 10 > 2 + 10

3x > 12

3x/3 > 12/3

x > 4

5x - 15 < -5

5x - 15 + 15 < -5 + 15

5x < 10

5x/5 < 10/5

x < 2

B)  x > 4 or x < 2

25)   1.5/60 = 12/x

x = 12(60) / 1.5

x = 480

B) 480 miles

This distance from Old Faithful to Mammoth Hot Springs is actually about 52 miles by road, so there must have been MASSIVE number of road closures to get this result...or else their scale is incorrect. 1.5 inch to 6.0 miles would be a much more accurate scale making the distance 48 miles.

Abcd is a parallelogram determine the length of BE
A)51 units
B)102 units
C)96 units
D) -11 units

Answers

Answer:

  B)  102 units

Step-by-step explanation:

The diagonals of a parallelogram bisect each other. This means ...

  BE = ED

  3 -9x = -8x +14

  -11 = x . . . . . . . . . . . . add 9x -14

  BE = 3 -9x = 3 -9(-11) = 3 +99

  BE = 102 units

Help please please need quick

Answers

14 times 14=196
7 times 7= 49
196-49=147
The length of X is approximately 7 root 3. Or 12.12 as a decimal
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