if you have 1.234545 davidi by 50=

Answer:

Let's say that x is sam's age and y is Amy's age

x=y-4

and five years ago:

x-5=(y-5)/2

y-4-5=(y-5)/2

2y-18=y-5

y=13

x=9

then:

sam's age is 9 and Amy's age is 13

Answer:

Sam: 9, Amy: 13

Step-by-step explanation:

So five years ago, lets say Sam was 4, and Amy was 8. That would be half Amy's age. If we add on 5 to Sams age, as it says, Amy would then be 13, and Sam would be 9. This is also four years apart. Thus, the answers are Sam: 9 and Amy: 13

Answer:

3 milkshakes and 3 sundaes

Step-by-step explanation:

3 * 5 = $15 + 3 * 2 = $21

Ans. 450

Solve.

Add 100and you will get the ans

Rhett's house is a rectangular prism

Given data ,

Let the figure be represented as A

Now , the value of A is

Rhett made a simple drawing of his house.

And , It is a three dimensional figure with four faces that are rectangular and two that are square

So , the figure is represented as a rectangular prism

A three-dimensional solid object called a prism has two identical ends. It consists of equal cross-sections, flat faces, and identical bases. Without bases, the prism's faces are parallelograms or rectangles.

Hence , the figure is rectangular prism

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Answer:

\(6 \sqrt{8} \sqrt{2} = 6 \sqrt{16} = 6(4) = 24\)

B is the correct answer.

Reflecting the triangle ABC implies that the new position would be a mirror of the previous position

The statement that logically comes next is (c) Translate triangle ABC, so that point A maps to point W

After reflecting the triangle ABC, the next step is to map point A to point W on the coordinate plane.

This is done by translating the triangle ABC i.e. by shifting or moving the triangle ABC so that points A and W would be on the same point

Hence, the statement that logically comes next is (c)

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Answer:

\(r=4.38\)

Step-by-step explanation:

Step 1: Arrange the equation so that you are calculating rate (divide both sides by t)

\(\frac{d}{t} = \frac{rt}{t}\)

\(t\) cancels out on the right side.

Step 2: Substitute in the numerals

\(r=\frac{d}{t}\)

\(r=\frac{5.7}{1.3}\)

Step 3: Divide

\(r=4.38\) \(mph\)

There's your answer!

Hope this helps you!

there are 12 inches in 1 foot, so how many feet in 20 inches?

\(\begin{array}{ccll} in&ft\\ \cline{1-2} 12&1\\ 20&x \end{array}\implies \cfrac{12}{20}=\cfrac{1}{x}\implies \cfrac{3}{5}=\cfrac{1}{x}\implies 3x=5\implies x = \cfrac{5}{3}\implies x = 1\frac{2}{3}~~ft\)

Answer: 140

Step-by-step explanation:

The number of T-shirts and shorts did Dots sell in the month of April with the total sales of $570 are 60 and 30 respectively.

A system of equation is the set of equation in which the finite set of equation is present for which the common solution is sought.

Dots sells T-shirts ($5) and shorts ($9).

Let suppose the number of T-shirts sold is x and shorts sold is y. Dots sells T-shirts ($5) and shorts ($9) with total sales of $570. Thus,

\(5x+9y=570\)

Solve it further,

\(5x+9y=570\\9y=570-5x\\y=\dfrac{570-5x}{9}\)                  ....1

People bought 2 times as many T-shirts as shorts. Thus,

\(x=2y\)                          ....1

Put the value of y form equation in this equation as,

\(x=2\times\dfrac{570-5x}{9}\\9x=1140-10x\\10x+9x=1140\\x=\dfrac{1140}{19}\\x=60\)

Put this value of x in equation 2 as,

\(x=2\times y\\60=2\times y\\y=\dfrac{60}{2}\\y=30\)

Thus, the number of T-shirts and shorts did Dots sell in the month of April with the total sales of $570 are 60 and 30 respectively.

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Answer:

  C. RP = 4.5

Step-by-step explanation:

You want to know what condition is sufficient to show ∆ABC ~ ∆QPR, given  three sides and 2 angles in ∆ABC, and 2 sides in ∆QPR.

Similarity can be shown if all three sides are proportional, or if two angles are congruent.

The offered answer choices only list one angle, so none of those will work. The answer choice that makes the third side of ∆QPR be in the same proportion as the corresponding side of ∆ABC is the condition of interest.

  C. RP = 4.5

__

Additional comment

The side ratios in the two triangles are ...

  AB : BC : CA = 10 : 9 : 6

  QP : PR : RQ = 5 : PR : 3

For these ratios to be the same, PR must be half of BC, just as the other segments in ∆QPR are half their counterparts in ∆ABC.

Answer:

20.

Step-by-step explanation:

60 - 40 = 20

Answer:

There are 5 prime numbers between 40 and 60.

Step-by-step explanation:

A prime number is a number that is ONLY divisible by itself and 1 with no remainder. For example 3 can only be divided by 1 or 3 without a remainder left.

Between 40 and 60 there are 5 prime numbers: 41, 43, 47, 53, and 59.

The length of the rectangle is twice its width. If its perimeter is 7 1/3 cm, its length will be 22/9 cm, and the width is 11/9 cm.

Let's assume the width of the rectangle is "b" cm.

According to the given information, the length of the rectangle is twice its width, so the length would be "2b" cm.

The formula for the perimeter of a rectangle is given by:

Perimeter = 2 * (length + width)

Substituting the given perimeter value, we have:

7 1/3 cm = 2 * (2b + b)

To simplify the calculation, let's convert 7 1/3 to an improper fraction:

7 1/3 = (3*7 + 1)/3 = 22/3

Rewriting the equation:

22/3 = 2 * (3b)

Simplifying further:

22/3 = 6b

To solve for "b," we can divide both sides by 6:

b = (22/3) / 6 = 22/18 = 11/9 cm

Therefore, the width of the rectangle is 11/9 cm.

To find the length, we can substitute the width back into the equation:

Length = 2b = 2 * (11/9) = 22/9 cm

So, the length of the rectangle is 22/9 cm, and the width is 11/9 cm.

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Answer:2^1 × 3^2 × 13^1

Step-by-step explanation:

Using Pythagorean theorem, the length of the ladder is 10ft

In mathematical terms, if y and z are the lengths of the two shorter sides (also known as the legs) of a right triangle, and x is the length of the hypotenuse, the Pythagorean theorem can be expressed as:

x² = y² + z²

In the questions given, the only one we can use Pythagorean theorem to solve is the one with ladder since it's forms a right-angle triangle.

To calculate the length of the ladder, we can write the formula as;

x² = 8² + 6²

x² = 64 + 36

x² = 100

x = √100

x = 10

The length of the ladder is 10 feet

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The total money raised is (15/7) * $88,000 = $188,571.43.

a) Let x be the total amount raised.

Charity A received (1/3)(x - A), Charity C received (1/4)(x - C). We have A = (1/3)(B+C) and C = (1/4)(A+B).

Solving these equations, we find B's share to be 7/15 of the total amount.

p) Since Charity B received $88,000, which is 7/15 of the total amount, the total money raised is (15/7) * $88,000 = $188,571.43.

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Answer:

y=-2x-5

Step-by-step explanation:

For m=-2

For (0,-5) a=0 AND b=-5

(use the equation y-b=m(x-a) to find the equation of the line)

y-b=m(x-a)

(sub the values of m (the slope) and a&b (from the point passing through the line)

y - (-5) = (-2) × ( x - 0 )

(simplify)

y+5=-2(x-0)

(expand the bracket)

y+5 = -2x+0

(subtract 5 for both sides)

y=-2x+0-5

(simplify)

y=-2x-5

Answer:

y=-2x-5

Step-by-step explanation:

am i a good person yet :weary: :fingers_pointing_to_each_other:

Answer:

  m = 20

Step-by-step explanation:

You want the value of m when (4m +10)° represents an angle of 90°.

The perpendicular bisector XZ intersects segment WY at right angles. The measure of a right angle is 90°, so we have ...

  (4m +10)° = 90°

Dividing by ° and subtracting 10 gives ...

  4m +10 = 90

  4m = 80

  m = 20 . . . . . . divide by 4

The value of m is 20.

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The coordinates of the intersection of the diagonals of abcd with the given vertices are (0,2).

The equation of diagonal AC is the equation of the line joining

(−4,6) and (4,−2)

Using the two point formula of a line, we have

           (y−6) / (x+4) = 6−(−2) / (−4−4)

                       x + y = 2

The equation of diagonal BD is the equation of the line joining

(5,6) and (−5,−2)

Using the two point formula of a line, we have

           (y−6) / (x−5) = 6−(−2) /  5−(−5)

                           5y = 4x+10

Multiply equation x + y = 10 by 5 to get 5x+5y=10

Replace 5y=4x+46 using 5x+5y=10

        5x + (4x+10) = 10

        5x + 4x +1 0 = 10

           9x + 10 = 10

               9x=0

                 x=0

Substitute x=0 in eqn(1), To get 0+y=2

                                                         y=2

The point of intersection of the diagonals of the given quadrilateral is (0,2)

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take a picture of this kn matway itll help

The value of dy/dx is -cotθ, d^2y/dx^2 is -6cosec³θ, slope is -cotθ, concavity is -6cosec³θ.

Parametric Equations Point x = 6cosθ, y = 6sinθ and θ = π/4

We have to determine the value of dy/dx.

We can define dy/dx as;

dy/dx = (dy/dθ)/(dx/dθ)

We first define dy/dθ and dx/dθ.

x = 6cosθ                             y = 6sinθ

dx/dθ = -6sinθ                     dy/dθ = 6cosθ

Now put the value

dy/dx = 6cosθ/(-6sinθ)

dy/dx = -cotθ

Now we have to determine the value of d²y/dx².

d²y/dx² = d/dx(dy/dx)

We can write it as

d²y/dx² = \(\frac{\frac{d}{d\theta}(\frac{dy}{dx})}{dx/d\theta}\)

We first determine the value of d/dθ(dy/dx)

d/dθ(dy/dx) = d/dθ(-cotθ)

d/dθ(dy/dx) = cosec²θ

Now put the value

d²y/dx² = cosec²θ/(-6sinθ)

d²y/dx² = -6cosec³θ

Now we have to determine the slope.

Slope = dy/dx

Slope = -cotθ

Now we have to determine the concavity.

Concavity = d²y/dx²

Concavity = -6cosec³θ

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Answer: 5 to 20 intervals.

Step-by-step explanation:

Answer:

z = 106  (first picture)

Step-by-step explanation:

i will add the other answers too

circumference= 14

the radius of the circle.

\(r = \frac{c}{2\pi} \)

\( r= \frac{14}{2 \times \pi} \)

\(r = 2.22817\)

\(r = 2.23\)

hence the radius of the circle is 2.23

The mean absolute deviation is 0.75

To calculate the mean absolute deviation (M.A.D.), you need to find the average of the absolute differences between each data point and the mean of the data set

From the information given, we have that the data set is;

8 9 9 7 8 6 9 8

Let's calculate the mean, we get;

Mean = (8 + 9 + 9 + 7 + 8 + 6 + 9 + 8) / 8

Mean = 64 / 8

Divide the values

Mean = 8

Let's determine the absolute difference, we get;

Absolute differences=

|8 - 8| = 0

|9 - 8| = 1

|9 - 8| = 1

|7 - 8| = 1

|8 - 8| = 0

|6 - 8| = 2

|9 - 8| = 1

|8 - 8| = 0

Find the mean of the absolute differences:

Average of absolute differences = (0 + 1 + 1 + 1 + 0 + 2 + 1 + 0) / 8

Absolute difference = 6 / 8 = 0.75

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Answer:

those are the answers

Step-by-step explanation:

so basically you multiply the top number by the number in the side like: -3x^2 × 3x, -3x^2 × -5 (if that makes sense?)

Answer:

DC ≈ 26.1 cm(3 significant figures)

Step-by-step explanation:

The sum of interior angles of a quadrilateral is equals to 360 degree. For a regular quadrilateral, each angle is equals to 90 degree.

BDC is a triangle and angles in a triangle sum up to 180° . Therefore, to find ∠BDC

180 - 102° + 52°  = ∠BDC

180 - 154 = 26°

∠BDC = 26°

Angle ABD can be found same way since sum of interior angles in a triangle is 180°.

∠ABD  = 180 - 90 - 35

∠ABD = 55°

Side BD can be find as follows

sin 35° = opposite/hypotenuse

sin 35° = 12/BD

BD sin 35° = 12

BD = 12/sin 35°

BD = 12/0.57357643635

BD = 20.9213615475

BD ≈ 21 cm

Using sine formula we can find side CD

21/sin 52° = DC/sin 102°

DC sin 52° = 21 sin 102°

DC = 21 sin 102°/sin 52°

DC = 0.97814760073  × 21/0.7880107536

DC = 20.5410996154 /0.7880107536

DC = 26.0670295696

DC ≈ 26.1 cm(3 significant figures)

Answer:

7. √149 ft or 12.2 ft

8. 5√2 m or 7.07 m

9. √36.75 in. or 6.06 in.

Step-by-step explanation:

7.

a² + b² = c²

7² + 10² = x²

49 + 100 = x²

x² = 149

x = √149

x ≈ 12.2

Answer: √149 ft or 12.2 ft

8.

perimeter = 20 m

side = perimeter/4 = 5 m

a² + b² = c²

5² + 5² = x²

25 + 25 = x²

x² = 50

x = 5√2

Answer: 5√2 m or 7.07 m

9.

a² + b² = c²

3.5² + x² = 7²

12.25 + x² = 49

x² = 49 - 12.25

x² = 36.75

x = √36.75 = 6.06

Answer: √36.75 in. or 6.06 in.

Answer:

  7.  12.2 ft

  8.  7.07 m

  9.  6.06 in

Step-by-step explanation:

You want the hypotenuse of at right triangle with legs 7 and 10 ft, the diagonal of a square with perimeter 20 m, and the altitude of an equilateral triangle with side length 7 inches.

These problems all make use of the Pythagorean theorem, which tells yo the relation between sides a, b and hypotenuse c of a right triangle is ...

  a² +b² = c²

The length of the leash (c) is ...

  c² = (7 ft)² +(10 ft)² = 149 ft²

  c = √149 ft ≈ 12.2 ft

The leash is about 12.2 feet long.

Each side of the square is 1/4 of the perimeter, so is 5 m. The diagonal is the hypotenuse of a right triangle with legs that length. Its measure is ...

  c = √(5² +5²) = 5√2 ≈ 7.07 . . . . meters

The length of the diagonal is about 7.07 meters.

The altitude of an equilateral triangle is a perpendicular bisector of one side. Its length is ...

  b = √(c² -a²)

  b = √(7² -3.5²) = √36.75 ≈ 6.06 . . . . inches

The altitude of the triangle is about 6.06 inches.

__

Additional comment

The triangles of problems 8 and 9 are known as the two "special" right triangles.

The side lengths of an isosceles right triangle (angles 45°-45°-90°) have the ratios 1 : 1 : √2.

The side lengths of a triangle with angles 30°-60°-90° have the ratios 1 : √3 : 2.

That is, the diagonal of the square is √2 times its side length, and the altitude of the equilateral triangle is (√3)/2 times is side length.

It can be useful to remember these triangles and their side ratios.

<95141404393>

Explanation:

The angles do not need to be touching, or adjacent, for them to be supplementary. They simply need to add to 180 degrees.

We have 70+110 = 180, so that proves the angles are supplementary. They can be rearranged to glue together to form a straight angle.

If the angles were supplementary and adjacent, then we can consider them as a linear pair. This is possibly what Suzie might be thinking about.