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Mumz [18]
3 years ago
10

What is the area of this figure?

Mathematics
1 answer:
ludmilkaskok [199]3 years ago
3 0

Answer:

          \large\boxed{\large\boxed{42 unit^2}}

Explanation:

The figure is not a regular hexagon. It is an irregular hexagon.

Please, find attached the picture with the original question and the figure.

You can split the figure into two triangles and one rectangle.

The rectangle has dimensions: 7units × 4units, thus its area is 28 units².

Both the upper triangle and lower triangle have base 7 units and height 2 units.

Hence the area of each triangle is:

       area=(1/2)base\times height

       

      area=(1/2)7units\times 2units = 7units^2      

Hence, the area of the hexagon is:

           28units^2+7units^2+7units^2=42units^2

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If a 4 x 16 rectangle has the same area as a square, what is the length of a side of the square?
Licemer1 [7]

Answer:

Option D. 8 units

Step-by-step explanation:

step 1

Find the area of rectangle

The area of rectangle is

A=(4)(16)=64\ units^2

step 2

Find the length side of the square with the same area of rectangle

The area of a square is

A=b^2

where

b is the length side of the square

we have

A=64\ units^2

substitute

64=b^2

take the square root both sides

b=8\ units

therefore

The length side of the square is 8 units

7 0
3 years ago
A straight line y = mx + c is parallel to y = 3x +2
Anna11 [10]

Answer:

m = 3 and c = - 1

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

y = 3x + 2 ← is in slope- intercept form

with m = 3

• Parallel lines have equal slopes, thus

y = 3x + c ← is the partial equation of the parallel line

To find c substitute (1, 2) into the partial equation

2 = 3 + c ⇒ c = 2 - 3 = - 1

y = 3x - 1 ← equation of parallel line

with m = 3 and c = - 1

4 0
3 years ago
Read 2 more answers
PLEASE HELP! I DON'T UNDERSTAND!
Mademuasel [1]
Yes, her estimate is reasonable. She has 430 flowers and each bouquet needs 17. If we divide 430 by 17 we get roughly 25.29. So she can make 25 complete bouquets, which is between 20 and 30
3 0
3 years ago
Write an equation of the circle with center , −45 and radius 6 .
IceJOKER [234]
The general equation for a circle, x^2+y^2=1, falls out of the Pythagorean Theorem, which states that the square of the hypotenuse of a right triangle is always equal to the sum of the squares of its legs (you might have seen this fact written like a^2+b^2=c^2, where <em>a </em>and <em>b</em> are the legs of a right triangle and <em>c </em>is its hypotenuse. When we fix <em /><em>c</em> in place and let <em>a </em>and <em>b </em>vary (in a sense, at least; their values are still dependent on <em>c</em>), the shape swept out by all of those possible triangles is a circle - a shape defined by having all of its points equidistant from some center.

How do we modify this equation to shift the circle and change its radius, then? Well, if we want to change the radius, we simply have to change the hypotenuse of the triangle that's sweeping out the circle in the first place. The default for a circle is 1, but we're looking for a radius of 6, so our equation, in line with Pythagorus's, would look like x^2+y^2=6^2, or x^{2} +y^2=36.

Shifting the center of the circle is a bit of a longer story, but - at first counterintuitively - you can move a circle's center to the point (a,b) by altering the x and y portions of the equation to read:

(x-a)^2+(y-b)^2
7 0
2 years ago
SOMEONE PLEASE EXPLAIN THIS TO ME
Angelina_Jolie [31]

17.5 = x

Step-by-step explanation:

1st you add 85 and 55 since those to angles are congruent (means similar) to 8x

2nd you get 140 after adding then

3rd since the angles are congruent you just divide the 140 by 8 to get the value of x

6 0
2 years ago
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