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3 years ago

What is the area of this composite figure?

Mathematics

1 answer:

iragen [17]3 years ago

7 0

The rectangle would be 16 x 10 which would be 160. and the triangles would be 10 x 6 / 2 which would be 30. So 30 + 30 + 160 = 220.

Rectangle : A = b x h
Triangle : A = b x h
2

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Line h contains the points (3,0) and (0,4). which point lies on a line that is perpendicular to line h and passes through point

Iteru [2.4K]

(3,0)(0,4)
slope = (4 - 0) / (0 - 3) = -4/3
A perpendicular line will have a negative reciprocal slope. So our perpendicular line has a slope of 3/4

y = mx + b
slope(m) = 3/4
(-6,-5)....x = -6 and y = -5
now sub into the formula and find b, the y int
-5 = 3/4(-6) + b
-5 = -18/4 + b
-5 + 18/4 = b
-20/4 + 18/4 = b
-2/4 = b
so ur perpendicular line is : y = 3/4x - 2/4....or 3x - 4y = 2

and ur point (6,4) lies on the perpendicular line <===

6 0

3 years ago

PLEASE HELP WILL GIVE 1ST RIGHT ANSWER AS BRAINIEST The radius of a circle is x+6 and its diameter is 3x+5. What is the circumfe

Rzqust [24]

Answer:

The circumference of the circle = 26π unit.

Step-by-step explanation:

Given:

Radius of the circle, r = "x+6"

Diameter of the circle, d = "3(x)+5"

We have to find the circumference of the circle in terms of pi.

Formula to be used:

Circumference of a circle = 2πr or πd

As we know that:

Radius = Half of diameter

So,

⇒ $radius=\frac{diameter}{2}$

⇒ $x+6=\frac{3x+5}{2}$

⇒ $2\times (x+6)=\frac{3x+5}{2}\times 2$

⇒ $2x+12=3x+5$

⇒ $12-5=3x-2x$ ...<em>Arranging variables and constants. </em>

⇒ $7=x$

Plugging x = 7 we will find the radius and the diameter.

⇒ Radius = "x+6" = "7+6" = 13

⇒ Diameter = "3(x)+5" = 3(7)+5 =26

Lets find the circumference of the circle.

⇒ Circumference = $2\pi r= 2\pi (13) = 26 \pi$ Or

⇒ Circumference = $\pi d=\pi (26)=26\pi$

The circumference of the circle = 26π unit.

4 0

2 years ago

the width of a rectangle is 6 units less than the the length. The area of a rectangle is 7 units. What is the length of the rect

diamong [38]

Answer:

Length: 7 units

Width: 1 unit

Step-by-step explanation:

8 0

3 years ago

To which set of numbers does the number belong?

Maslowich

Integers are whole numbers that can be negative or positive. Irrational numbers are numbers with repeating ends while natural numbers are positive whole numbers only. rational numbers are fractions. hence the answer to this problem is D.

6 0

3 years ago

Each employee in a company is either right-handed or left-handed.

PtichkaEL [24]

Answer:

Right handed 41

Right handed male 18

Right handed female 23

Male employees 22

Female employees 32

Left handed 13

Left handed male 4

Left handed female 9

4 0

2 years ago