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2 years ago

8

There are 12 inches for every 1 foot. How many inches are equivalent to 4 feet? Louisiana Territory Map. The equivalent ratio is

.

1 answer:

Firdavs [7]2 years ago

3 0

12*4=48.

4:48

4/4=1

48/4=12

1:12

-TheOneandOnly003

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Find the area and circumference of the figure below.

nexus9112 [7]

Answer:

162.12385 cubic inches

Step-by-step explanation:

Assuming finding the area and circumference of the shaded area.

Triangle with 3 sides and 90 degrees on one side, we can use the Pythagorean Theorem to solve for the missing side.

Pythag. Theorem says

a^2 + b^2 = c^2

//a and b are the 2 small sides touching to the 90 degree angle

//^2 means squared, or the number multiplied by itself

(16)^2 +(30)^2 = c^2

16x16 + 30x30 = c^2

256 + 900 = c^2

1156 = c^2

Take the square root of both sides to get rid of (^2) from the right side of the equation.

sqrt(1156) = sqrt(c^2)

34 = c

So the longest side is 34 inches.

Coincidentally, this is the diameter of the Half Circle.

The radius = (diameter/2) = 34/2 = 16 inches

radius = 16 in.

Circumference of a Circle formula:

C = 2*pi*r; pi=3.14; r = radius

But this is a half circle, so C = pi*r = 3.14*16 = 50.2654

Now to find the area its a little more work.

Area of shaded part is equal to

Area of half circle minus area of triangle

Area of Circle: pi*r^2

-->since half circle: Area of half circle is: (pi*r^2)/2

Area of triangle: (base*height)/2: (16*30)/2

A of circle - A of triangle

(3.14*16^2)/2 - (16*30)/2

Area of shaded region = 162.12385

7 0

3 years ago

Henry makes $7.00 per hour before taxes working at a movie theater. On Tuesday, Henry worked 5 hours, and then he worked 4 hours

olganol [36]

Answer:

Step-by-step explanation:

1hr = $7.00

Therefore,

5 + 4 x 7

= $63

DV = Hours of work.

7 0

3 years ago

Simplify:4x+6(3x-12<br><br> A 10x -12<br> B18x-12<br> C22x-12<br> D30*30X-12

olya-2409 [2.1K]

4x+6 (3x ) - 12 = 4x +6 *3 x - 12
= 4x +18 x - 12
= 22 x -12

8 0

3 years ago

Pls, help me with this math question

olya-2409 [2.1K]

Answer:

Perimeter $\sqrt{26}+\sqrt{5}+\sqrt{10}+\sqrt{17}$ units. Area 12 square units.

Step-by-step explanation:

Perimeter: total distance around the figure.

Distance Formula: the distance between points $\left(x_1,y_1\right) \text{ and } \left(x_2,y_2\right)$ is

$d=\sqrt{\left(x_2-x_1\right)^2+\left(y_2-y_1\right)^2}$

$AB=\sqrt{(6-1)^2+(2-1)^2}=\sqrt{25+1}=\sqrt{26}$

$BC=\sqrt{(5-6)^2+(4-2)^2}=\sqrt{1+4}=\sqrt{5}$ $CD=\sqrt{(2-5)^2+(5-4)^2}=\sqrt{9+1}=\sqrt{10}$ $DA=\sqrt{(1-2)^2+(1-5)^2}=\sqrt{1+16}=\sqrt{17}$

The perimeter is the sum of all those segment lengths.

One way to find the area of the figure is to surround it with a rectangle, insert some lines so that the areas you do not want can be found and subtracted from the rectangle's area. (See attached image.)

The area of the large rectangle around the figure is 5 x 4 = 20 square units.

The triangles have areas 1/2 (base) (height):

A. (1/2)(1)(4) = 2 square units

B. (1/2)(3)(1) = 1.5 square units

D. (1/2)(1)(2) = 1 square unit

E. (1/2)(5)(1) = 2.5 square units

Square C. (1)(1) = 1 square unit

Total of all the area you don't want to include:

2 + 1.5 + 1 + 2.5 + 1 = 8 square units

Subtract 8 from the surrounding rectangle's area of 20, and you get the area of the figure is 20 - 8 = 12 square units.

4 0

3 years ago

At Dwayne's Swimwear, 75% of the 92 swimsuit styles are bikinis. How many bikini styles are there?

bogdanovich [222]

Answer:

69 styles

Step-by-step explanation:

75%= 3/4

92/4= 23 (1/4)

23x3= 69

3 0

3 years ago