A dinner plate has a diameter of 14 inches. Approximately how many square inches is the area of the plate?

Answer:

Step-by-step explanation:

The perimeter of the given figure is equal to the circumference of whole circle.

The formula of a circumference of a circle:

[tex]C=\pi d[/tex]

d - diameter

We have d = 70 cm. Substitute:

[tex]C=70\pi\ cm[/tex]

The area of given figure is equal to the area of rectangle 70cm × 35cm.

(look at the picture).

The area of a rectangle:

[tex]A=(70)(35)=2,450\ cm^2[/tex]

The area of a circle is given by the formula A = πr², where π represents pi, and r the radius. The area can be left in terms of pi to avoid rounding errors, with the example of a circle with 1.2-meter radius having an area of approximately 4.5 m² when considering significant figures.

The area of a circle is expressed as A = πr², where π (pi) is approximately 3.14159265, and r is the radius of the circle. In terms of pi, this formula is often left in the form of πr² to retain the exact value without rounding. For example, if we have a circle with a radius of 1.2 meters, the area would be calculated as A = π(1.2 m)² = 4.5238934 m² using a calculator with eight-digit precision. However, since the radius is given with two significant figures, the appropriate representation of the area would be A=4.5 m².

It is important to note that when expressing the area in terms of pi, you may encounter different contexts such as finding the area of a semicircle using the definite integral that results in r²/2 for the semicircle's area, or understanding proportionalities in a circle divided into slices.

Answer:

The area of the polygon is [tex]116\ units^{2}[/tex]

Step-by-step explanation:

we know that

The area of the polygon is equal to the area of the triangle ADE plus the area of triangle ACD plus the area of triangle ABC

step 1

Find the area of triangle ADE

The area is equal to

[tex]A=\frac{1}{2}(AD)(EG)[/tex]

substitute the values

[tex]A=\frac{1}{2}(16)(3)=24\ units^{2}[/tex]

step 2

Find the area of triangle ACD

The area is equal to

[tex]A=\frac{1}{2}(AD)(CH)[/tex]

substitute the values

[tex]A=\frac{1}{2}(16)(7)=56\ units^{2}[/tex]

step 3

Find the area of triangle ABC

The area is equal to

[tex]A=\frac{1}{2}(AC)(BF)[/tex]

substitute the values

[tex]A=\frac{1}{2}(12)(6)=36\ units^{2}[/tex]

step 4

Find the area of the polygon

[tex]A=24\ units^{2}+56\ units^{2}+36\ units^{2}=116\ units^{2}[/tex]

Answer: 5/4, or 1.25

Step-by-step explanation:

To solve, get a variable on one side. First, add 5 on both sides.

g(x) = 4x-5+5

Next, divide by four.

5/4 = 4x/4

Now, solve.

5/4, or 1.25 = x

Answer:

12.56

Step-by-step explanation:

C= 2 x 3.14 x 2

(the other 2 is half of the circumference)

To find the circumference of a round hut floor with a diameter of 4 meters, use the formula Circumference = π x Diameter, resulting in 12.56 meters.

The circumference of a round hut with a floor diameter of 4 meters can be calculated using the formula Circumference = π x Diameter.

Answer:

K=31

Step-by-step explanation:

17=(-14)+K

We want to isolate k

Add 14 to each side

17+14=(-14)+14+K

31 = K

Answer:

k=31

Step-by-step explanation:

The answer is D 30 .85x30=25.5

Answer:

D

Step-by-step explanation:

Answer is D

Answer: B 312

Step-by-step explanation:i did this before in k12 yep its 312

hope this helps

Answer:

Step-by-step explanation:

The formual fo ana area of a triangle:

[tex]A=\dfrac{bh}{2}[/tex]

b - base

h - height

We have A = 50 cm² and h = 2b. Substitute:

[tex]\dfrac{(b)(2b)}{2}=50\\\\b^2=50\to b=\sqrt{50}\ m\to b\approx7.1\ m\\\\h=2b\to h=2(7.1)=14.2\ m[/tex]

To find the height and base of the triangle with an area of [tex]50 m^2[/tex]and the height being twice the base, we use the area formula[tex]A = (base imes height) / 2,[/tex] solve for the base, and double it to find the height. The base is approximately 7.1 m, and the height is approximately 14.1 m.

The question seeks the height and base of a triangle whose area is 50 [tex]m^{2}[/tex] and the height is twice the length of its base. The area of a triangle can be calculated using the formula A = [tex](base imes height) / 2.[/tex] Since the height is twice the base, we can say the height is 2b, where b is the base.

Plugging into the formula for the area of a triangle, we get:

Area, A = 50 m2

[tex]A = (b imes 2b) / 2[/tex]

50 = b2

b = \/50

b \/= 7.1 m (to the nearest tenth)

[tex]Height (h) = 2 imes b = 2 imes 7.1 m[/tex]

h = 14.1 m (to the nearest tenth)

Therefore, the base of the triangle is approximately 7.1 m and the height is approximately 14.1 m.

The true statement is the side lengths will form a triangle because 6+7>4. So option (d) is correct.

To determine if the given side lengths can form a triangle, we need to apply the triangle inequality theorem, which states that the sum of the lengths of any two sides of a triangle must be greater than the length of the third side.

Let's denote the side lengths as follows:

a = 4  meters

b = 6  meters

c = 7  meters

We'll check each possible combination:

1. \( a + b > c \): \( 4 + 6 > 7 \) (True)

2. \( a + c > b \): \( 4 + 7 > 6 \) (True)

3. \( b + c > a \): \( 6 + 7 > 4 \) (True)

Since all three conditions are true, the given side lengths (4, 6, 7 meters) can indeed form a triangle.

Thus, the correct option is D. The side lengths will form a triangle because 6 + 7 > 4.

Complete Question:

A triangular garden is being formed with stones. The three sides measure 4 meters by 6 meters by 7 meters. Which of the following is a true statement about the side lengths of the triangle?

A. The side lengths will not form a triangle because 6+4>7.

B. The side lengths will form a triangle because 4+6<7.

C. The side lengths will not form a triangle because 7+4<6.

D. The side lengths will form a triangle because 6+7>4.

Answer:

See attached picture

Step-by-step explanation:

This is a linear equation. To graph it, use the model y = mx + b where m is the slope and b is the y-intercept. Here m = 2 and b = 4. Start at the point (0,4) on the y-axis. Mark this point because it is the y-intercept. Then move up 2 units and over 1 to the point (1, 6). Mark this point. And connect. This is the correct graph. See attached picture.

Answer:

A - 0.6 repeating

Step-by-step explanation:

An irrational number cannot be written as a fraction - it is a number without end (like a repeating number)

Answer:

Yes different signs leads to a negative product.

Step-by-step explanation:

So I don't know if this was helpful, but I hope you find it very helpful!

Answer: 132%

Step-by-step explanation:

Answer:

At = 21.5 cm2

Step-by-step explanation:

At = Asqr - Acircle

At = A1 - A2

A1 = 10^2  = 100

A2 = Pi*(5)^2 = 78.5

At = 100 - 78.5

At = 21.5 cm2

Best regards

For this case we have that by definition:

The area of a circle is: [tex]A_ {c} = \pi * r ^ 2[/tex]

Where r is the radius of the circle.

The area of a square is: [tex]A_ {s} = l ^ 2[/tex]

Where l is the side of the square.

The area of the shaded region will be:

[tex]A_ {sr} = A {s} -A_ {c}[/tex]

So:

[tex]A_ {s} = 10 * 10\\A_ {s} = 100 \ cm ^ 2[/tex]

On the other hand:

[tex]A_ {c} = \pi * (\frac {10} {2}) ^ 2\\A_ {c} = \pi * 25\\A_ {c} = 78.5375cm ^ 2[/tex]

Finally:

[tex]A_ {sr} = 100-78.5375\\A_ {sr} = 21.4625[/tex]

Rounding out, we have that the area of the shaded region is 21.5 square centimeters.

Answer:

Option D

Answer:

G.) 23 meters

Step-by-step explanation:

makeing it into a proportion would be the easiest -

9/x = 21/54

21x = 486

/21      /21

x = 23.14

rounded out would be x = 23 meters

hope this helps!!

The height of the tree is 23 meters

Trigonometry is a branch of mathematics that studies relationships between side lengths and angles of triangles.

Let  the height of the tree as 'x'.

The proportion can be set up as:

(height of the tree) / (length of the tree's shadow) = (height of the building) / (length of the building's shadow)

Plugging in the given values:

x / 9 = 54 / 21

To solve for x, we can cross-multiply:

21x = 54×9

21x = 486

Dividing both sides by 21:

x = 486 / 21

= 23.143

Hence,  the height of the tree is 23 meters.

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75+75=150

180-150=30

your missing angle is 30 degrees

Answer:

Correct Answer: B

Step-by-step explanation:

Answer:

44=y

Step-by-step explanation:

27+x=y

We know x = 17, so we can substitute x=17 into the equation

27 + 17 = y

44=y

Answer:

[tex]y=44[/tex]

Step-by-step explanation:

Substitute 17 for x in the equation since [tex]x=17[/tex]

[tex]27+(17)=y[/tex]

[tex]44=y[/tex]

Answer:

24-q

Step by Step Explanation :

24 decreased by q is basically saying 24 minus q which is 24-q

Answer:

300 students

Step-by-step explanation:

Since 4/5 of students do not wear glasses, 1/5 of students do.  

There are 60 students who wear glasses, so let 'x' represent the number of students who wear glasses

(1/5)x = 60     is our equation.  "One-fifth of the number of students who wear glasses is 60"

Now solve for x

(1/5)x = 60

    x = 300    (multiply both sides by 5 to get rid of the fraction)

it looks like somebody else is already answering this for you, but if you are in need of an answer for a question like this fast just go to desmos.com and input your function it will show you what the graph will look like

Answer:

63

Step-by-step explanation:

80+69+78+73+75+63= 438

438/6 = 73

Hope this helps you! :)

Answer:

The bottom left

Step-by-step explanation:

As one variable increases so does the other and it goes through the origin.

Answer:

Step-by-step explanation:

Using law of indies;

√Xᵃ = Xᵃ/²

√(0.08¹²) = (0.08¹²ˣ¹/²)

                  = 0.08⁶

The correct answer is A; (0.08)⁶

For this case we must simplify the following expression:

[tex](\sqrt {0.08 ^ {12}}[/tex]

By definition of properties of powers and roots we have:

[tex]\sqrt [n] {a ^ m} = a ^ {\frac {m} {n}}[/tex]

So, we can rewrite the given expression as:

[tex]0.08 ^ {\frac {12} {2}} =\\(0.08) ^ 6[/tex]

Answer:

[tex](0.08) ^ 6[/tex]

Option A

Answer:

This is a relation not a function

Step-by-step explanation:

This is not a function

The input x=-2 goes to both the output 2 and -2

Each input can only go to one output to be a function

Answer:

-40

Step-by-step explanation:

Try rearranging and factoring -8y-2c-2b-8x-2a:

This is equal to -8(x + y) -2(a + b + c).

Since x + y = 7, we have:

                            -8(7) -2(a + b + c)

and since a + b + c = 8, we end up with:

                             -56 - 2(8), or

                               -56 - 16    = -40

Answer:

B and C

Step-by-step explanation:

Use the Pythagorean Theorem a^2+b^2=c^2.

We can see in B that 8^2 is 64 and 15^2 is 225 which adds to 17^2 which is 289.

In C, the sqrt of 2 squared is just 2 and adding that by another sqrt 2^2 results in 4 which is also the value of 2^2.

Answer:(use the Pythagorean formula)

Step-by-step explanation:

Find the two smaller sides. Square each one them add them together. Then square the third side (the biggest side). If your two answers match, it's a right triangle!

Make sure that you don't make the mistake of adding the two smaller sides together before squaring.

In the function y= -1/2(x-1)^2+3, the negative sign inverts the graph so that it opens downwards unlike y=x^2 that opens upwards. This is due to the negative slope which implies a descent in the graph when moving left to right, showing a negative correlation between x and y.

In the function y= -1/2(x-1)^2+3, the negative sign in front of the fraction plays a vital role in the graph's orientation. Unlike the graph of y=x^2 which opens upwards, the negative sign causes the graph of the given function to open downwards. This occurs because the negative sign affects the slope of the function. Graphically, a negative slope means that as we move from left to right along the graph, it descends; showing a negative correlation between x and y. Thus in the concoction of a graph, when x increases, y decreases, or when x decreases, y increases. This is a fundamental rule in graphing quadratic functions.

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The negative sign in the function [tex]y = -1/2(x-1)^2+3[/tex]inverts the graph compared to[tex]y = x^2[/tex], making the parabola open downwards and indicating a negative relationship between the x and y values.

The negative sign in the function [tex]y = -1/2(x-1)^2+3[/tex] in comparison to the function [tex]y = x^2[/tex]inverts the graph of the parabola. While the graph of[tex]y = x^2[/tex]opens upwards, the negative coefficient causes the graph of the given function to open downwards. This means that instead of the parabola having a minimum point which occurs in [tex]y = x^2[/tex], the parabola will have a maximum point at the vertex (1, 3). As the x-value increases or decreases from the vertex, the y-value will decrease due to the negative sign, indicating that the two variables are negatively related. The general shape of the graph remains a parabola, but it is flipped vertically over the x-axis.

Answer:

[tex]\$25.60[/tex]

Step-by-step explanation:

step 1

Find the volume of the container

The volume is equal to

[tex]V=8^{3}=512\ cm^{3}[/tex]

step 2

Find the volume of the crystal cube

The volume is equal to

[tex]V=1^{3}=1\ cm^{3}[/tex]

step 3

Find the total number of crystal cubes in the container

Divide the volume of the container by the volume of the crystal cube

so

[tex]512/1=512\ crystal\ cubes[/tex]

step 4

Find the cost

Multiply the number of crystal cubes by $0.05

[tex]512*0.05=\$25.60[/tex]