All categories

3 years ago

Which shapes can the shaded area be divided into to find the area?

Mathematics

2 answers:

max2010maxim [7]3 years ago

4 0

Answer:

Step-by-step explanation:

Svetllana [295]3 years ago

3 0

Answer:

Step-by-step explanation:

You might be interested in

Beatrice has a rectangular swimming pool in her backyard. The dimensions are 16 feet by 8 feet. She decides to build a deck of u

xeze [42]

Super happy with. Long long long

5 0

3 years ago

A cylinder has a radius of 3 cm. Sand is poured into the cylinder to form a layer 2 cm deep. What is the volume of sand in the c

netineya [11]

Answer:

Volume=56.54cm³

Step-by-step explanation:

$Solution,\\\\Radius(r)=3cm\\\\Height(h)=2cm\\\\Now,\\\\Volume=\pi r^{2} h\\\\Volume=\pi *(3cm)^{2} *2cm\\\\Volume=18\pi cm^{3} =56.54cm^{3}$

3 0

2 years ago

if a boat goes 72 miles downstream in 3 hrs and upstream 60 miles in 6 hours , what is the rate of the river and the boat in sti

sergejj [24]

What type of wizardry is this?

3 0

3 years ago

Read 2 more answers

Each line represents a proportional relationship. Write an equation for each line. Show your work.

tiny-mole [99]

Answer:

The equation of line a is y = x

The equation of line b is y = $\frac{2}{3}$ x

Step-by-step explanation:

The equation of the proportional is y = m x, where

m is the slope of the line (constant of proportionality)

The rule of the slope of a line is m = $\frac{y2-y1}{x2-x1}$ , where

(x1, y1) and (x2, y2) are two points on the line

∵ Line a passes through points (0, 0) and (3, 3)

∴ x1 = 0 and y1 = 0

∴ x2 = 3 and y2 = 3

→ Substitute them in the rule of the slope above

∵ m = $\frac{3-0}{3-0}=\frac{3}{3}$

∴ m = 1

→ Substitute in the form of the equation above

∴ y = (1)x

∴ y = x

∴ The equation of line a is y = x

∵ Line b passes through points (0, 0) and (3, 2)

∴ x1 = 0 and y1 = 0

∴ x2 = 3 and y2 = 2

→ Substitute them in the rule of the slope above

∵ m = $\frac{2-0}{3-0}=\frac{2}{3}$

∴ m = $\frac{2}{3}$

→ Substitute in the form of the equation above

∴ y = ( $\frac{2}{3}$ ) x

∴ y = $\frac{2}{3}$ x

∴ The equation of line b is y = $\frac{2}{3}$ x

7 0

3 years ago

The hypotenuse of a right triangle is 37 units long. Find the other two sides if the perimeter of the triangle is 84 units. Sepa

taurus [48]

Answer:

The lengths of the legs are 12 and 35 units

Step-by-step explanation:

Let c represent the hypotenuse and a and b represent the legs. Then the Pythagorean Theorem requires that a^2 + b^2 = c^2 = 37^2 = Hypotenuse^2

Also: a + b + c = Perimeter = 84 units.

Since c = 37 units, a + b + 37 units = 84 units, or a + b = 47 units, or a = 47 - b.

Then a^2 + b^2 = 37^2 becomes (47 - b)^2 + b^2 = 37^2, or 1369. Therefore:

2209 - 94b + b^2 + b^2 = 1369.

Simplifying by combining like terms, we get:

840 - 94b + 2b^2 = 0, which is a quadratic equation in standard form.

Reducing all terms by division by 2, we get:

420 - 47b + b^2 = 0. Here the coefficients are a = 1, b = -47 and c = 420.

The discriminant is therefore b^2 - 4ac, or 529, whose square root is ± 23.

Then the b values of this quadratic in b are

47 ± 23

b = -------------- , so that b is either 35 or 12

and then side a has length a = 47 - b = 12 or 35.

Thus, a = 12 and b = 35, and c is given: 37.

Check: Is 12^2 + 35^2 = 37^2 true? Is 144 + 1225 = 1369? YES

The lengths of the legs are 12 and 35 units.

7 0

3 years ago