MATHEMATICS MIDDLE SCHOOL

Find the area of the image below:A. 24.6 square units
B. 25.8 square units
C. 26.3 square units
D. 27.5 square units
Find the area of the image below: A. 24.6 square - 1

Answers

Answer 1
Answer:

Answer:

Option D. 27.7\ units^(2)

Step-by-step explanation:

we know that

The area of the image is equal to the area of the complete square minus the area of triangle 1, minus the area of triangle 2, minus the area of triangle 3, minus the area of trapezoid 4

see the attached figure to better understand the problem

Find the area of the complete square

A=8^(2)=64\ units^(2)

Find the area of triangle 1

A=(1/2)(4)(5)=10\ units^(2)

Find the area of triangle 2

A=(1/2)(3)(3)=4.5\ units^(2)

Find the area of triangle 3

A=(1/2)(3)(3)=4.5\ units^(2)

Find the area of triangle 4

A=(1/2)(3+4)(5)=17.5\ units^(2)

The area of the image is equal to

A=64-10-4.5-4.5-17.5=27.7\ units^(2)
Answer 2
Answer:

The area of the given image, calculated using the Shoelace Formula based on the coordinates of its vertices, is 27.5 square units.

The correct answer is option D.

To determine the area of the provided image formed by the points H(0,0), L(1,5), K(4,8), J(-1,8), and I(-4,5), we can employ the Shoelace Formula. This formula calculates the area of a polygon based on the coordinates of its vertices. For a polygon with vertices (x₁, y₁), (x₂, y₂), ..., (xₙ, yₙ), the formula is:

Area = 1/2 * |x₁y₂ + x₂y₃ + ... + xₙy₁ - y₁x₂ - y₂x₃ - ... - yₙx₁|

Applying this formula to the given points:

Area = 1/2 * |(0 * 5 + 1 * 8 + 4 * 8 + (-1) * 5 + (-4) * 0) - (0 * 1 + 5 * 4 + 8 * (-1) + 8 * (-4) + 5 * 0)|

Area = 1/2 * |(0 + 8 + 32 - 5 - 0) - (0 + 20 - 8 - 32 + 0)|

Area = 1/2 * |35 - (-20)|

Area = 1/2 * 55

Area = 27.5 square units

Therefore, the correct answer is D. 27.5 square units.

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an air freshener used 3 3/4 millilitres of perfume if Wendy wanted to make 3 air fresheners how many millilitres of perfume would she use?

Answers

3 x 3 3/4 =

3 x 15/4 = 45/4 = 11 1/4 milliliters
She would use 11 and 1/4 milliliters to make the perfume. 3+3+3=9. 3/4+3/4+3/4= 2 and 1/4. 9+2 and 1/4= 11 and 1/4 milliliters:) 

PLEASE HELP ME !! Carter has 3 statues of various sizes in his garden. Statue A is one foot taller than statue B. Statue is one-half of a foot taller than statue B. A) write an algebraic expression for the total combined height of statue A and c. (equations for statues A and C) B) If the total combined height of the 3 statues is 10 feet, find the height of statue B in inches.

Answers

Answer:


Step-by-step explanation:

0.000033 in scientific notation?!

Answers

we know that

0.000033=(33)/(1,000,000) =(33)/(1*10^(6)) =33*10^(-6) =3.3*10^(-5)

therefore

the answer is 3.3*10^(-5)
3.3 times -10 to the fifth power.

A 14 foot ladder is used to scale a 13 foot wall.At what angle of elevation must the ladder be situated in order to reach the top of the wall?

Answers

The angle of elevation must be 68.202 degrees

Solution:

Given that, 14 foot ladder is used to scale a 13 foot wall

We have to find the angle of elevation must the ladder be situated in order to reach the top of the wall

The figure for this solution is attached below

The ladder, wall and the ground forms a right angled triangle

ABC is a right angled triangle

AB is the height of wall = 13 feet

AC is the length of ladder = 14 feet

We have to find the angle of elevation

Let the angle of elevation be "x"

For right angled triangle ABC, We can use the definition for sine

\sin x=\frac{\text { opposite }}{\text { hypotenuse }}

Here, in figure, opposite = AB and hypotenuse = AC

\sin x=(A B)/(A C)\n\n\sin x = (13)/(14)\n\n\sin x = 0.9285\n\nx = sin^(-1)(0.9285)\n\nx = 68.202

Thus the angle of elevation must be 68.202 degrees

The angle of elevation the ladder will be situated in order to reach the top of the wall is 68°.

What is a right triangle?

A right triangle has one of its angles as 90 degrees. The angle of elevation can be found using trigonometric ratios.

Therefore, the angle of elevation can be calculated as follows;

The length of the ladder is the hypotenuse.

The opposite side is the height of the wall.

Therefore,

sin ∅ = opposite / hypotenuse

sin ∅ = 13 / 14

∅ = sin⁻¹ 0.92857142857

∅ = 68.2129901712

∅ = 68°

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A function is given.​
​ f(x)=2x+3
​
​What is the value of f(−2)?

f(−2) = ?

Answers

Answer:

f(- 2) = - 1

Step-by-step explanation:

To evaluate f(- 2) substitute x = - 2 into f(x), that is

f(- 2) = 2(- 2) + 3 = - 4 + 3 = - 1

For 2^(x) + 3, then

f(- 2) = 2^(-2) + 3 = (1)/(4) + 3 = 3.25

What is -24 feet per 2 seconds as a unit rate in feet per seconds

Answers

All you have to do is divide -24 by two to get a unit rate, which means that you are move at a speed of -12 feet per second
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3 + 5 + 10 + 15 + X = 46WILL GIVE BRAINLIEST!