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1 year ago

Each large rectangle below represents one whole.

Mathematics

2 answers:

r-ruslan [8.4K]1 year ago

8 0

Step-by-step explanation:

<h3>there are 2 whole rectangles </h3>

<h3>1 of them is full making it 1 whole </h3>

<h3>the other has 4 shaded potions and 1 unshaded potion making 4/5</h3>

<h3>Mathematically writing it: 1 ⅘ (mixed fraction)</h3><h3>we change 1 ⅘ into an improper fraction</h3><h3>by multiplying the whole (1) by the denominator (5) and adding the numerator (4) which gives us 9/4 (improper fraction).</h3>

<h3>9/4 = 9÷4 = 2.25 (decimal)</h3>

<h3>Then we convert 2.25 into percentage by multiplying 2.25 by 100 </h3>

<h3>2.25 x 100 = 225%</h3><h3>Therefore the percentage represented by the shaded area is 225%. </h3>

<h3>Hope this helps.</h3><h3>Good luck ✅.</h3>

Natali5045456 [20]1 year ago

4 0

Answer:

180%

Step-by-step explanation:

<u>Given: </u>

Large rectangle represents one (1) whole
Each rectangle is divided evenly into 5 parts
There are 2 whole rectangles

The rectangle on the left is fully shaded in meaning that is 1 whole (100%)

The rectangle on the right is 4 / 5 shaded, 4 / 5 = 0.8 (80%)

Combining these will be 100 + 80 = 180%

Learn more about Fractions here: brainly.com/question/78672

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3 years ago

Find the surface area and volume of each figure. Round each answer to the nearest hundredth.

Llana [10]

Answer: Surface area is equal to 200 $cm^{2}$

Volume is equal to 333.33 $cm^{3}$

Step-by-step explanation:

First, let's do surface area.

The surface area of a pyramid is equal to 1/2(perimeter of base)(lateral height) + area of the base

The perimeter of the base is 10(4) = 40; as the base is a square with a side length of 10.

The lateral height is given as 5 cm.

The area of the base is 10(10) = 100.

We can plug those numbers into the equation to get 1/2(40)(5) + 100, which comes out to be 200 $cm^{2}$ .

Now for volume.

The volume of a pyramid is equal to 1/3(area of the base)(height).

We already have the area of the base, which is 100.

The height is given as 10 cm.

Plugging those numbers into the equation, we get 1/3(100)(10), which is 1000/3 or about 333.33 $cm^{3}$ .

Hope this helps!

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3 years ago

(5 pts) A quadratic function f is given by f(x) = ax2 + bx + c where a is not 0. Select all

Vsevolod [243]

Answers:

a) True. Plug in x = 0 and it leads to y = c. Therefore, the point (0,c) is on the parabola.
b) False. Plug in y = 0 and apply the quadratic formula. One x intercept may sometimes be x = c, but it could easily be other values as well. Or perhaps you may not get any real number solutions at all. See part d) below.
c) True. If a < 0, then the leading coefficient is negative. Overall, both endpoints will tend toward negative infinity to produce a parabola that opens downward.
d) False. The quadratic may have one x intercept or it may not have any x intercepts at all. It depends on what the discriminant d = b^2 - 4ac is equal to. If d < 0, then we have no x intercepts. If d = 0, then we have exactly 1 x intercept. If d > 0, then we have two different x intercepts.
e) True. The vertex's x coordinate is -b/(2a). If b = 0, then the x coordinate of the vertex is 0. The vertical line x = 0 is directly on top of the y axis.