Sometimes, Cindy's little brother interrupts her during homework time. So, she made a triangular "Do Not Disturb" sign to hang on her bedroom door. The base of the sign is 1 1 2 feet long, and the sign is 2 2 3 feet tall. Which equation can you use to find the area of the sign, A?

Answer:

See attachment for rectangle

Step-by-step explanation:

Given

[tex]A = (-6,0)[/tex]

[tex]B = (-4,0)[/tex]

[tex]Area = 12[/tex]

Required

Draw the rectangle

First, we calculate the distance between A and B using distance formula;

[tex]AB = \sqrt{(x_1 - x_2)^2 + (y_1 - y_2)^2}[/tex]

So, we have:

[tex]AB = \sqrt{(-6 - -4)^2 + (0- 0)^2}[/tex]

[tex]AB = \sqrt{(-2)^2 + (0)^2}[/tex]

[tex]AB = \sqrt{4 + 0}[/tex]

[tex]AB = \sqrt{4}[/tex]

[tex]AB = 2[/tex]

The above represents the length of the triangle.

Next, calculate the width using:

[tex]Length * Width = Area[/tex]

[tex]2* Width = 12[/tex]

Divide both sides by 2

[tex]Width = 6[/tex]

This implies that, the width of the rectangle is 6 units.

We have:

[tex]A = (-6,0)[/tex]

[tex]B = (-4,0)[/tex]

Since A and B are at the upper left and right, then the ther two points are below.

6 units below each of the above point are:

[tex]C = (-6,0-6)\\[/tex] => [tex]C = (-6,-6)[/tex]

[tex]D = (-4,0-6)[/tex] => [tex]D = (-4,-6)[/tex]

Hence, the points of the rectangle are:

[tex]A = (-6,0)[/tex]

[tex]B = (-4,0)[/tex]

[tex]C = (-6,-6)[/tex]

[tex]D = (-4,-6)[/tex]

See attachment for rectangle

Answer:

D. 108.4 mm

Step-by-step explanation:

Since the larger triangle is 4 times of the small triangle...

27.1 x 4 = 108.4 mm

Step-by-step explanation:

we can solve this question using Pythagorean theorem the hypotenuse of the ladder is 8 metres and base of the ladder is 6 metres so height will be..........

Hypotenuse²=Base²+ Height²

8²=6²+H²

64-36=H²

28=H²

7√2=H² Answer

Answer:

10

Step-by-step explanation:

Answer: [tex]\$25[/tex]

Step-by-step explanation:

Given

Mr. Cole has $200

He keeps three-fourth of money i.e.

[tex]\Rightarrow 200\times \dfrac{3}{4}=\$150[/tex]

Remaining money is [tex]=200-150=\$50[/tex]

If $50 dollar is distributed among two-child, then each child will get

[tex]\Rightarrow \dfrac{50}{2}=\$25[/tex]

Answer:

471.3inches

Step-by-step explanation:

Given data

Diameter= 30in

Radius= D/2= 30/2= 15in

The circumference is the same as the distance covered in one revolution

C= 2πr

Hence the distance  covered in 5 revolutions is

C= 2*5*πr

Substitute

C=10*3.142*15

C= 471.3inches

Answer:

Number 1: 1 2/4 or 1 1/2

Number 2: 2 4/6

Number 3: 5/6

Step-by-step explanation:

For Numbers 1 and 2... You'd have to separate the whole number from the fraction and subtract accordingly.

Number 1: 2-1=1 and 3/4-1/4=2/4

So you would get 1 2/4.

Number 2: 3-1=2 and 5/6-1/6=4/6  

You would get 2 4/6

For Number 3 you would have to find the LCD (Least common denominator) for 1/2 and 2/3.

The answer will then be 5/6.

(I couldn't solve number 4 because it wasn't visible.)

I hope I helped! Leave a rating and a Thanks below. :D

Answer:

37.3032cm^2

Step-by-step explanation:

Given data

Diameter= 0.6cm

Radius= 0.3cm

Lenght = 19.5cm

Surface area (A) =2πrh+2πr^2

Substitute

A=2*3.14*0.3*19.5+2*3.14*0.3^2

A=36.738+0.5652

A=37.3032

Hence the surface area is

37.3032cm^2

Answer:

— 4√16(cos(4π3)+isin(4π3))=2(cos(−π6)+isin(−π6))=√3−i. Explanation: De Moivre's formula tells us that: (cosθ+isinθ)n=cosnθ+isinnθ.

Step-by-step explanation:

Answer:

its not b or a

Step-by-step explanation:

The solution of the equation x³ = 16 will be;

⇒ x = 2.519

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

Given that;

The equation is,

⇒ x³ = 16

Now,

Since, The equation is,

⇒ x³ = 16

Solve for x as;

⇒ x = ∛ 16

⇒ x = 2.519

Thus, The solution of the equation is,

⇒ x = 2.519

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Answer:

Step-by-step explanation:

Its the blue and green rectangles

Answer:

Green and  Yellow

Step-by-step explanation:

If you divide the numbers and Area of the yellow one by 2, it becomes the green

Answer: The answer is C 11/3

Isolate the variable by dividing each sides by a factors that don't contain the variable.

Answer:

1 out of 6

Step-by-step explanation:

there is a 17% chance (this might be worng tho)

Answer:

extra-large

Step-by-step explanation:

Answer: 25/81 also there is a scale factor calculator online tht you can use ill give you the link if you want it

Step-by-step explanation:

Answer:

25/81

hope It helped please mark brain list

Answer:

$11.33

Step-by-step explanation:

First I did 8.80 x 0.25 and I got 11. Than I did 11.00 x 0.03 and I got $11.33. The total cost was $11.33

The total cost of the rake is $11.33.

Calculating the sales tax applied to a purchase is a matter of simply multiplying the tax rate by the purchase price using the equation sales tax = purchase price × sales tax rate. Adding the sales tax to the original purchase price gives the total price paid with tax.

Given that, a rake was marked up 25% from an original cost of $8.80.

25% of the original cost of $8.80 is

0.25×8.80 =$2.2

So the marked up price was 8.80+2.20

= $11

He then paid an additional 3% in sales tax, that is

11 + 0.03×11 = $11.33

Therefore, the total cost of the rake is $11.33.

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Answer:

i cant give you a step by step answer but all you do is subtract

Step-by-step explanation:

Answer:

188

Step-by-step explanation:

f(x)=4x² - 10+2

f(-7) = 4x² - 10 + 2

= 4(-7)² - 10 + 2

= 4 (49) - 10 + 2

= 196 - 10 + 2

= 188

Answer:

0

Step-by-step explanation:

The cotangent function is defined as cot x = adj / opp.

The terminal side of 270 degrees is the lower half of the y-axis.  The adj side is zero (0) and the opp side is -1;

Therefore, cot (-270 degrees) = adj / opp = 0/(-1) = 0

The required answer is cot(-270°) is undefined

Given that cot(-270°).

To evaluate cot(-270°) without a calculator, use the trigonometric properties and definitions.

First, let's recall the definition of the cotangent function. The cotangent of an angle is defined as the ratio of the adjacent side to the opposite side in a right triangle.

cot(theta) = adjacent side / perpendicular

When we consider -θ, it represents a reflection or rotation of θ about the origin. This reflection does not affect the ratio of the adjacent side to the opposite side in a right triangle.

Thus, cot(-θ) = cot(θ).

In this case, dealing with an angle of -270°. Since angles can be measured counterclockwise, -270° represents a rotation of 270° clockwise from the positive x-axis.

At -270°, the terminal side of the angle lies on the negative y-axis.

cot(-270°) = cot(270°)

Since 360° - 270° equals 90°, cot(360° - 270°) = cot (90°)

At 90°, the terminal side of the angle lies on the positive y-axis.

In a right triangle formed with the terminal side of the angle, the adjacent side and the opposite side are both zero.

Since the cotangent is the ratio of the adjacent side to the opposite side, and both sides are zero in this case, the cotangent of -270° is undefined or "not defined."

Therefore, cot(-270°) is undefined.

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The volume of the rectangular prism is 4180in^3.

"A rectangular prism can be defined as a 3-dimensional solid shape which has six faces that are rectangles".

For the given situation,

Length of the rectangular prism = 19 in

Width of the rectangular prism = 20 in

Height of the rectangular prism = 11 in

The formula for volume of the rectangular prism,

[tex]V=l[/tex] × [tex]w[/tex] × [tex]h[/tex]

On substituting the values,

⇒[tex]V= 19[/tex] × [tex]20[/tex] × [tex]11[/tex]

⇒[tex]V=4180[/tex]

Thus the volume of the rectangular prism is [tex]4180 in^{3}[/tex].

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Answer:

45.5

Step-by-step explanation:

First you would find 1/3 third of 10.50 and it is 3.5, you would then do 10.50 x 4 since it said 10.50 per half a yard, so you would do times 4 and you would get 42, you would then add 42 + 3.5 which equals 45.5.

as c and n directly vary it can be said that

[tex]\frac{8}{13} = \frac{n}{4}[/tex]

now we just solve for n

[tex]\frac{8}{13}=\frac{n}{c} \\13n=32\\n=2.46[/tex]

Answer:

a) A(8,-3), B(4,-3), C(2,5)

b) not sure sry

Answer:

The second one

Step-by-step explanation:

This is because it is asking for a budget meaning that you have to spend less or equal to 200

Step-by-step explanation:

Answer:

7 miles

Step-by-step explanation:

35 x 0.2 = 7 miles

Answer:

7 mile

Step-by-step explanation:

In 1 hour, Abigail covers 20% of total distance.

In 1 hour, Abigail covers 20% of 35 mile

In 1 hour, Abigail covers (20/100 × 35) = 7 mile

Answer:

6.545 recurring

Step-by-step explanation:

we need to use division to answer this question!

144/22 = 6.545 recurring

hope this helped!

-cheesetoasty