Sarah is 2 inches taller than the quotient of billy’s height and 5. Let b represent Billy’s height. write an expression that represents Sarah’s height

Step-by-step explanation:

there is a right-angled triangle.

its legs (enclosing the 90° angle) are the height of the skyscraper (396 m) and the shadow (332 m).

so, we know the third side (the Hypotenuse, which is the line of sight between the end of the shadow and the top of the skyscraper) too by using Pythagoras :

c² = a² + b²

line² = 396² + 332² = 156816 + 110224 = 267040

line = sqrt(267040) = 516.7591315... m

and we know 1 angle : the 90° angle between the legs.

the other angles we can now get by using the law of the sines :

a/sin(A) = b/sin(B) = c/sin(C)

where the angles are opposite of the lines.

the line of sight is opposite of the 90° angle.

and the height of the skyscraper is opposite of the angle between the line of sight and the shadow. this angle is also the angle of the sun above the horizon, as the extended line of sight would lead directly to the sun.

so, we have

516.7591315.../sin(90) = 396/sin(angle)

as sin(90) = 1

516.7591315... = 396/sin(angle)

sin(angle) = 396 / 516.7591315... = 0.76631447...

angle = 50.02407526...°

Answer:

[tex]\displaystyle m = \frac{4}{5}[/tex]

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Algebra I

Coordinate Planes

Slope Formula: [tex]\displaystyle m = \frac{y_2 - y_1}{x_2 - x_1}[/tex]

Step-by-step explanation:

Step 1: Define

Identify points.

Point (-3, 1)

Point (2, 5)

Step 2: Find slope m

Simply plug in the 2 coordinates into the slope formula to find slope m.

Answer: 18.5

Step-by-step explanation:  1184/64= 18.5

Answer:

Percentage decrease calculator will show the difference and the percent decrease from one quantity to another.

Step-by-step explanation:

Answer:

12.5t + 8h = 259.5

t + h = 24

Step-by-step explanation:

Write one equation to deal with the costs and one equation to deal with the numbers of shirts and hats.

12.5t + 8h = 259.5

t + h = 24

Answer:

Y-Y1=M(x-x1)

that's the formula then fixing in your values we have

y + 5 =2(x-3)

y+5 =2x-6

Crossing over we have

y-2x=-6-5

equation of the line equals

y-2x-11 =0

Answer:

(222 - 6) + 12

Step-by-step explanation:

You put B and C as the same thing but the correct option is this because first you take away 6 (subtract 6) from the 222 marbles then you replace them with 12 (add 12).

Answer:

m = 2, b = 9

Step-by-step explanation:

Find m (the slope) by subtracting y1 - y2 (1 - 3 = -2) and x1 - x2 (-4 - -3 = -1). Put the y answer on top of the x answer and simplify. -2/-1 = 2 because the negatives cancel each other out.

Find b by substituting one of the coordinates into the problem.

y = mx + b

1 = 2(-4) + b

1 = -8 + b

9 = b

Answer:

For finding the inflection points you'll have to put the first derivative equal to zero and solve for x. After you've done that, you can plug in the x you've just found into the original function and find also the y, so you'll find the ordered pair (x,y) of the inflection point(s).

Answer:

Point R is at (−40, −30), a distance of 60 units from point Q

Step-by-step explanation:

Correct option is ,

Point R is at (-40, 30) , a distance of 60 units from Point Q.

hope this answer helps you dear take care!

Answer:

Just right

Step-by-step explanation:

BRAIN PLS

Answer:

A, the first one.

Step-by-step explanation:

Please rate 5 stars and add thanks. Goodluck on the rest

Therefore, Option A is correct.

Hoped this helped.

[tex]BrainiacUser1357[/tex]

Answer:

I have helped you on the other question you asked. It's the same question.

[tex](b) ^{2} + {(h)}^{2} = {(x)}^{2} \: \: \: ( by \: \: \: pythagoras \: \: \: theorem)\\ = > {(10)}^{2} + {(10)}^{2} = {(x)}^{2} \\ = > 100 + 100 = {x}^{2} \\ = > 200 = {x}^{2} \\ = > x = \sqrt{200} mm \\ = > x = \sqrt{2 \times 2 \times 2 \times 5 \times 5}mm \\ = > x = 2 \times 5 \sqrt{2} mm \\ = > x = 10 \sqrt{2} mm[/tex]

Answer:

10√2 mm.

Hope you could get an idea from here.

Doubt clarification - use comment section.

The value of y in the coordinates of point W is 3

The points are given as:

[tex]S = (-5,0)[/tex]

[tex]T = (5,2)[/tex]

[tex]V = (0,-2)[/tex]

[tex]W = (-1,y)[/tex]

Start by calculating the slope of line ST

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

So, we have:

[tex]m=\frac{2- 0}{5--5}[/tex]

[tex]m=\frac{2}{10}[/tex]

[tex]m=\frac{1}{5}[/tex]

Next, calculate the slope of line VW

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

So, we have:

[tex]m = \frac{y --2}{-1-0}[/tex]

[tex]m = \frac{y +2}{-1}[/tex]

[tex]m = -y -2[/tex]

Since both lines are perpendicular, then the product of the slopes is -1.

So, we have:

[tex]\frac 15 \times (-y -2) = -1[/tex]

Divide both sides by -5

[tex]y +2 = 5[/tex]

Subtract 2 from both sides

[tex]y = 3[/tex]

Hence, the value of y in the coordinates of point W is 3

Read more about line coordinates at:

https://brainly.com/question/2037439

Answer:

W=3

Step-by-step explanation:

Answer:

In the figure, PQRS is a rectangle. If the shaded area is 72 sq. cm,...In the figure, PQRS is a rectangle. If the shaded area is 72 sq. cm, find h

EXPLANATION

From the diagram, PQRS is a rectangle

Area of shaded part = 72sq.cm

But 72 = 3h - 4 + 6h - 4 + 4h

= 72 - 16h - 8

= 16h - 72 + 8

=16h = 80

h = 80/16

= 5cm

Answer:

25%

hope this helps

The two pairs of figures that are similar are shown in figure 1 and 3.

What is Similar quadrilateral?

Two quadrilaterals are similar when there corresponding angles are equal to each other.

Given that;

In figure 1;

Two triangles are shown.

In figure 2;

One rectangle and other is square.

In figure 3;

Two rectangle are shown.

Now,

Since, Two quadrilateral are similar when there corresponding angles are same.

In the figure 1;

The angles of first triangles = 37° , 53°

So, The third angle = 180 - (37 + 53)

                              = 90

The angles of second triangles = 37° , 53°

So, The third angle = 180 - (37 + 53)

                              = 90

Thus, There all angles are equal to each other.

So, These figure are Similar.

And, In figure 2;

One figure is square and other is a rectangle.

So, It is not similar.

And, In figure 3;

Both figure are rectangle.

And, All angles in a rectangle are 90 degree.

Thus, they are similar.

Therefore,

The two pairs of figures that are similar are shown in figure 1 and 3.

Learn more about the similar quadrilateral visit:

https://brainly.com/question/16261621

#SPJ5

Answer:3.55

Step-by-step explanation:

you add the time dude

Answer:

height = 10 , area = 240 units²

Step-by-step explanation:

The diagonal splits the rectangle into 2 right triangles.

Using Pythagoras' identity in the right triangle formed

with hypotenuse h = 26 and legs 24 and height x , then

x² = 26² - 24² = 676 - 576 = 100 ( take square root of both sides )

x = [tex]\sqrt{100}[/tex] = 10

Height = 10 units

area of rectangle = 24 × 10 = 240 units²

Answer:

what kind?

Step-by-step explanation:

Answer:55

Step-by-step explanation:

55

Answer:

A parallelogram is a quadrilateral with two pairs of parallel sides. The opposite sides of a parallelogram are equal in length, and the opposite angles are equal in measure. Also, the interior angles on the same side of the transversal are supplementary. Sum of all the interior angles equals 360 degrees.

Step-by-step explanation:

To start with, we are told that the two shapes are squares. This means that they have the same length and breadth. From the diagram, we can see that one of the sides  of the squares is 17 cm. This means that the squares are a square of 17cm in length.

If the original length is 17, and the overlapped length of the figure we have is 30 cm. Then we can say that since there exist 2 squares, 30/2 = 15 cm. If the overlapped length is 15 cm, this means that the part that is shaded is 2 cm in length.

Applying area of a rectangle formula

to learn more about area of  shaded regions, see here https://brainly.com/question/10090807

Answer:

Second option = TB - L > D

Step-by-step explanation:

[Given] T > [tex]\frac{L +D}{B}[/tex]

[Multiply both sides by B] TB > L + D

[Subtract L from both sides] TB - L > D

Have a nice day!

     I hope this is what you are looking for, but if not - comment! I will edit and update my answer accordingly. (ノ^∇^)

- Heather

Answer:

[tex]-8p^2+10p-3[/tex]

Step-by-step explanation:

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

Distribute

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

[tex]-3+4p+6p-8p^2[/tex]

Then you will organize it into standard form and combine the like terms

[tex]-8p^2+6p+4p-3[/tex]

[tex]-8p^2+10p-3[/tex]

Hope this helps!

Answer:

one milligram

Step-by-step explanation:

Answer:

milligram

Step-by-step explanation:

1,000 mg = 1 g

1 mg = .001 g

Answer:

Area = (Length * (a + a * (sin(Angle γ) / sin(Angle γ + Angle β)) + a * (sin(Angle β) / sin(Angle γ+Angle β)))) + a * ((a * sin(Angle γ)) / sin(Angle γ + Angle β)) * sin(Angle β)

Answer:

hope this helped

Step-by-step explanation:

y = mx + b

b, the y-intercept, = 3 because when x is 0, y is 3

find m, slope:

(0,3) (2,2)

2 - 3/2 - 0

-1/2

-0.5 or -/2

y = -1/2x + 3

or

y = -0.5x + 3

Answer:

$6.25

Step-by-step explanation:

10 pencils = $0.5 times 10 = $5

$5 plus $1.25 (price of the notebook) = $6.25