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2 years ago

Please help me I’m so lost

Mathematics

2 answers:

kolezko [41]2 years ago

5 0

Area of a FULL circle is founded by Pi multiplied by radius squared

But, in the figure, a semicircle is shown , so we change the formula so that it become Pi multiplied by radius squared divided by two ( because it is HALF of a circle)

We half the diameter in order to get the radius (44/2 is 22)

Pi multiplied by 22^2 divided by 2

Which is 760.27

Svetllana [295]2 years ago

4 0

Answer:

759.88 square inches

Step-by-step explanation:

$r = \frac{1}{2}d = \frac{1}{2} \times 44 = 22 \\ \\ area = \frac{1}{2} \pi \: {r}^{2} \\ area = \frac{1}{2} \times 3.14 \times 22 \times 22 \\ area = 759.88 \: square \: inches$

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Rachel is baking a cake but does not know if she wants to make a round or a square cake which cake has a larger area a round 8 i

GarryVolchara [31]

Answer:

The square cake has a larger area

Step-by-step explanation:

Square cake

Area = L*L = (9inch*9inch) = 81 inch^2

Round cake

(8 inches corresponds to the diameter, so the radius is 4 inches)

Area = pi*(radius^2) = 3.1416*(8inch/2)^2 = 50.265 inch^2

Since 81 inch^2 > 50.265 inch^2

The Square cake has a bigger area

3 0

2 years ago

#10 using the right angle below find the cosine of angle B.

Contact [7]

$\cos B = \frac{\text{adjacent side}}{\text{hypotenuse}} = \frac{5\sqrt{2}}{10} = \frac{\sqrt{2}}{2}=0.707$

4 0

2 years ago

A rectangle is 6yards longer than it is wide. Find the dimensions of the rectangle if it’s area is 187 square yards

emmasim [6.3K]

Answer:

Width = 11 yards

Length = 17 yards

Step-by-step explanation:

First of all, the length of the rectangle is 6 yards longer than the width, this means, length = width + 6 yards. This dimensions can be represented on figure 1, where <em>w</em> is width, and <em>l</em>, for length.

We know the area of a rectangle is A = width x length

For our case 187 = w . (w + 6)

Using the Distributive Property for the multiplication we obtain

$187 = w^{2} +6w$

$w^{2} +6w-187 =0,$

Using the quadratic formula $w=\frac{-b\±\sqrt{b^{2}-4ac } }{2a}$ where a = 1, b = 6, c = - 187 and replacing into the formula, we will have:

$w=\frac{-6\±\sqrt{6^2-4(1)(-187)} }{2(1)}$

$w=\frac{-6\±\sqrt{36+748} }{2}=\frac{-6\±\sqrt{784} }{2}=\frac{-6\±28}{2}$

We have two options: $w=\frac{-6+28}{2}=\frac{22}{2}=11 yards$

$w=\frac{-6-28}{2}=\frac{-34}{2}=-17 yards$ But a distance (width) can not be negative so, this answer for w must be discarded.

The answer must be width = 11 yards.

To find the length $l =\frac{187}{11}=17 yards$

6 0

2 years ago

Angle sum theory find Y

kompoz [17]

<h3>Answer:</h3>

<h3>Step-by-step explanation:</h3>

The angle sum theory says that the sum of all the interior angles in a triangle is 180 degrees.

Finding X

To solve for y, we must first find x. This way we know 2 of the interior angles. Luckily, angle x is a part of a linear pair.

Linear Pairs are 2 adjacent angles that create a straight line together. This means that the sum to 180 degrees.

Angle x and the angle with a measurement of 115 form a linear pair. Thus, we can create an equation to find x.

115 + x = 180

By subtracting 115 from both sides we know that x = 65.

Solving for Y

Now that we know x, we can find y. We know that one of the interior angles is 65 and that the other is 90 degrees. The square marking the bottom angles in the middle show that they are right angles.

Right angles are usuaslly denoted with a square drawn in the angle and have a measurement of 90 degrees.

Lastly, we can create a formula to find y with the angle sum theory.

90 + 65 + y = 180

Combine like terms

155 + y = 180

Subtract 155 from both sides

y = 25

This means that the angle y is 25 degrees.

4 0

1 year ago

The graph of a line with the following slope and y-intercept

sweet [91]

First you grapgh 0,-3 then you follow the slope of going 4 up 5 to the right and contine up also on e-where it is 0,-3 you go down 4 and 5 to the left and contine that to make a straught line.

6 0

2 years ago