What is the area of the drawing of the trophy shown?​

There are 8 laser beams.

The relationship between the three sides of a right-angled triangle is explained by the Pythagoras theorem, commonly known as the Pythagorean theorem. The Pythagorean theorem states that the square of a triangle's hypotenuse is equal to the sum of its other two sides' squares.

The length of the laser beams is the addition of the segments AD to segment CB (which are equal).

Using Pythagoras theorem in ECD

ED² = EC² + CD²

ED= √(12² + 35²)

ED = √144 + 1225

ED = 37 unit

Again In Triangle AED

AD² = EA² + ED²

AD=√15² + 37²

AD = 40 unit

Then, there are total of 80 ft of laser beams.

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Answer:

7/8 = 0.875 = 87.5%

Step-by-step explanation:

7/8 = 0.875 = 87.5%

Answer:

a) 2x + 3; b) 0

Step-by-step explanation:

Area = [tex]4\pi x^2+12\pi x+9\pi =\pi (4x^2+12x+9)=\pi (2x+3)^2[/tex]

Area = [tex]\pi r^2[/tex]

a) radius r = 2x + 3

b) 2x + 3 > 0

x > -3/2

The least possible integer value of x is 0

Answer:

5

Step-by-step explanation:

This is the Pythagorean theorem:
[tex]a^{2} +b^{2} =c^{2}[/tex]
The hypotenuse is c so we need to make c the subject:
[tex]c = \sqrt{a^{2}+b^{2} }[/tex]
To do this I simply square rooted both sides.
Now we substitute values given to get the answer of the hypotenuse:
[tex]c = \sqrt{3^{2} + 4^{2} }[/tex]
[tex]c = \sqrt{9+16}[/tex]
[tex]c = \sqrt{25}[/tex]
c=5
The lengths 3,4,5 of a triangle are known as a Pythagorean triple.
A Pythagorean triple consists of three positive integers a, b, and c, such that a² + b² = c².

Answer:

6 bags.

Step-by-step explanation:

Subtract 38 from 75 to represent the remaining amount of Matthew's money.

[tex]75-38=37.[/tex]

Matthew has $37 left over from buying flowers.

Divide 37 by 6 to represent how many bags of soil he can buy.

[tex]37\div6=6\frac{1}{6}[/tex]

Matthew can only buy 6 bags of soil, 1/6 isn't included because you can't buy a fraction of a bag.

Answer:

6.25

Step-by-step explanation:

Using the rules of exponents

[tex](\frac{a}{b}) ^{-\frac{m}{n} }[/tex] = [tex](\frac{b}{a}) ^{\frac{m}{n} }[/tex]

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

Given

[tex](\frac{8}{125}) ^{-\frac{2}{3} }[/tex]

= [tex](\frac{125}{8}) ^{\frac{2}{3} }[/tex]

= [tex](\sqrt[3]{125} )^2[/tex] × [tex]\frac{1}{(\sqrt[3]{8})^2 }[/tex]

= 5² × [tex]\frac{1}{2^2}[/tex]

= 25 × [tex]\frac{1}{4}[/tex]

= [tex]\frac{25}{4}[/tex]

= 6.25

Answer:

The Area of the composite figure would be 76.26 in^2

Step-by-step explanation:

According to the Figure Given:

Total Horizontal Distance = 14 in

Length = 6 in

To Find :

The Area of the composite figure

Solution:

Firstly we need to find the area of Rectangular part.

So We know that,

[tex]\boxed{ \rm \: Area \: of \: Rectangle = Length×Breadth}[/tex]

Here, Length is 6 in but the breadth is unknown.

To Find out the breadth, we’ll use this formula:

[tex] \boxed{\rm \: Breadth = total \: distance - Radius}[/tex]

According to the Figure, we can see one side of a rectangle and radius of the circle are common, hence,

[tex] \longrightarrow\rm \: Length \: of \: the \: circle = Radius[/tex]

[tex]\longrightarrow \rm \: 6 \: in = radius[/tex]

Hence Radius is 6 in.

So Substitute the value of Total distance and Radius:

[tex] \longrightarrow\rm \: Breadth = 14-6[/tex]

[tex] \longrightarrow\rm \: Breadth = 8 \: in[/tex]

Hence, the Breadth is 8 in.

Then, Substitute the values of Length and Breadth in the formula of Rectangle :

[tex] \longrightarrow\rm \: Area \: of \: Rectangle = 6 \times 8[/tex]

[tex]\longrightarrow \rm \: Area \: of \: Rectangle = 48 \: in {}^{2} [/tex]

Then, We need to find the area of Quarter circle :

We know that,

[tex]\boxed{\rm Area_{(Quarter \; Circle) } = \cfrac{\pi{r} {}^{2} }{4}} [/tex]

Now Substitute their values:

[tex]\longrightarrow\rm Area_{(Quarter \; Circle) } = \cfrac{3.14 \times 6 {}^{2} }{4} [/tex]

Solve it.

[tex]\longrightarrow\rm Area_{(Quarter \; Circle) } = \cfrac{3.14 \times 36}{4} [/tex]

[tex]\longrightarrow\rm Area_{(Quarter \; Circle) } = \cfrac{3.14 \times \cancel{{36} } \: ^{9} }{ \cancel4} [/tex]

[tex]\longrightarrow\rm Area_{(Quarter \; Circle)} =3.14 \times 9[/tex]

[tex]\longrightarrow\rm Area_{(Quarter \; Circle) } = 28.26 \: {in}^{2} [/tex]

Now we can Find out the total Area of composite figure:

We know that,

[tex]\boxed{ \rm \: Area_{(Composite Figure)} =Area_{(rectangle)}+ Area_{ (Quarter Circle)}}[/tex]

So Substitute their values:

[tex]\longrightarrow \rm \: Area_{(Composite Figure)} =48 + 28 .26[/tex]

Solve it.

[tex]\longrightarrow \rm \: Area_{(Composite Figure)} =\boxed{\tt 76.26 \:\rm in {}^{2}} [/tex]

Hence, the area of the composite figure would be 76.26 in² or 76.26 sq. in.

[tex] \rule{225pt}{2pt}[/tex]

I hope this helps!

Answer:

216 units^2

Step-by-step explanation:

the formula to calculate area of triangle is 1/2 b×h

so...

[tex] \frac{1}{2} (27) \times (16) \\ = 216 {units}^{2} [/tex]

Answer:

Step-by-step explanation:

144 units^3

Answer:

A. 4

Step-by-step explanation:

First, we can try the first option. 2/4 is equivalent to 6/12 when you multiply the fraction by 3 to get a common denominator. Since 6/12 is larger than 4/12, and the question has 1 answer, 4 is the only value that satisfices the statement and is the answer.

Answer:

the process by which organic matter exposed to minerals over a long period is turned into a stony substance.

Step-by-step explanation:

Picture example:

Answer:

The probability of rolling a 4 or greater is 12

Step-by-step explanation:

hope it helps you

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Answer:

okay so first to find the surface area of the net below you should always start from the line that is pointing at the end of the the i n u m so you see that is between 8 1/8 and 2 so you see the line you draw a line in the middle between 8 and then when you look and then you draw another line were 19 years and then you draw another line so you can see that at the top of 19 and there at the bottom of 918 you see that you can find the Nets below because you can see me you draw your line it shows you Drawing the Line because when you draw a circle in the middle and then you draw a another little circle in the middle is shows the surface area of the net below so bye

Answer:

f : 8

Step-by-step explanation:

hope that helps sorry if im wrong

Answer:

o 1)

[tex]Y= 6x + 11 \\ \\ 6x = Y - 11 \\ \\ x = \frac{Y - 11}{6} \\ \\ x = \frac{Y}{6} - \frac{11}{6} [/tex]

___o__o__

o 2)

[tex]A = \frac{1}{2} bh \\ \\ bh = A \div \frac{1}{2} \\ \\ bh = A \times 2 \\ \\ bh = 2A[/tex]

[tex]b = \frac{2A}{h} [/tex]

[tex]h = \frac{2A}{b} [/tex]

Explanation:

AB = AX+XB = 8+22 = 30

The ratio of AB to AX is AB/AX = 30/8 = 3.75

AC = AY+YC = 9+33 = 42

The ratio of AC to AY is AC/AY = 42/9 = 4.67 approximately

Since we don't get the same result, this means that the equation AB/AX = AC/AY is not true. The sides are not in proportion with one another, and therefore the triangles aren't similar.

The sides need to be in proportion with one another so we could use the SAS similarity rule.

Considering the SAS similarity theorem, triangles ABC and AXY are not similar triangles.

The SAS Similarity postulate or theorem, states that, when two triangles have two pairs of corresponding sides whose ratios are the same, and also has a pair congruent included angles, then, both triangles are similar.

Triangles ABC and AXY have a pair of congruent included angles, ∠BAC ≅ XAY.

Let's find out if their corresponding sides have equal ratios.

Thus:

AB/AX = 30/8 = 3.75

AC/AY = 42/9 = 4.67

Their ratios are not equal.

Therefore, considering the SAS similarity theorem, triangles ABC and AXY are not similar triangles.

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Carla would have about 795 pictures on May 16th.

A linear equation is in the form:

y = mx + b

where y,x are variables, m is the rate of change and b is the y intercept.

Let y represent the number of pictures after x days.

At April 30th, Carla sees that she has 235 pictures, hence b = 235. Also,  she takes 35 pictures each day, hence m = 35. The equation is:

y = 35x + 235

On May 16th, x = 16 hence:

y = 35(16) + 235 = 795

Carla would have about 795 pictures on May 16th.

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Answer:

48%

Step-by-step explanation:

I like to look at percentages as test grades. If you got a 130/250 on a test, you would simply need to view the dash line as a 'divided by'. So you would figure 130 divided by 250 is .52, or 52%... Then, you would need to subtract 52 from 100 to get 48% to get the percentage of people who do not walk to school.

48%

48% of 250 is 120

120+130=250

Answer:

22.5 miles per hour

Step-by-step explanation:

Given system of equations

5(s-w)=900

4(s+w)=900

Set equations equal to each other

5(s-w)=4(s+w)

5s-5w=4s+4w

s-5w=4w

s=9w

Solve for w using the substitution s=9w

4(s+w)=900

4(9w+w)=900

4(10w)=900

40w=900

w=22.5

Therefore, the speed of the wind is 22.5 miles per hour

Answer: 2

Step-by-step explanation:

took the quiz

The length of the sculpture is 2 feet.

Given information about the sculpture:

Width of the sculpture = x feet

Depth of the sculpture = x + 6 feet

Length of the sculpture = 2x - 12 feet

The volume of a rectangular prism is given by the formula:

Volume = length × width × depth

According to the given information, the volume of the sculpture is 26 times its width in linear feet. Therefore, write the equation as:

Volume = 26 × Width

Volume = 26x

Write the expression for the volume of the sculpture using the dimensions:

Volume = (2x - 12) × x × (x + 6)

Set up the equation:

26x = (2x - 12) × x × (x + 6)

26x = (2x² - 12x) × (x + 6)

26x = 2x³ + 12x² - 12x² - 72x

26x = 2x³ - 72x

Now, rearrange the equation to set it equal to zero:

2x³ - 72x - 26x = 0

2x³ - 98x = 0

2x(x² - 49) = 0

2x = 0

x = 0

And, the value of x is calculated as:

x² - 49 = 0

x² = 49

x = ±√49

x = ±7

Since dealing with dimensions, have a negative value for x.

Therefore, x = 7.

The value of x is 7, find the length of the sculpture:

Length = 2x - 12

Length = 2 × 7 - 12

Length = 14 - 12

Length = 2 feet

So, the length of the sculpture is 2 feet.

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Answer:

C

Step-by-step explanation:

hope this helps :)

Answer:

A) 2/3, -3/4, 1/2, -1/3

Start by making all of them have the same denominator. They all multiply to 12 easily, so I will use that. Remember that whatever you do to the top you have to do to the bottom, and vice versa.

Multiply 2/3 by 4/4 to get 8/12

Multiply -3/4 by 3/3 to get -9/12

Multiply 1/2 by 6/6 to get 6/12

Multiply -1/3 by 4/4 to get -4/12

Least to greatest (new): -9/12, -4/12, 6/12, 8/12

Least to greatest (old): -3/4, -1/3, 1/2, 2/3 <-------- this is your answer

C) -9/10, -8/9, -4/5, -41/45

Make them have the same denominator. They all multiply to 90, so I'll use that.

Multiply -9/10 by 9/9 to get -81/90

Multiply -8/9 by 10/10 to get -80/90

Multiply -4/5 by 18/18 to get -72/90

Multiply -41/45 by 2/2 to get -82/90

Least to greatest (new): -82/90, -81/90, -80/90, -72/90

Least to greatest (old): -41/45, -9/10, -8/9, -4/5 <-------- this is your answer

E) -3, -2 2/3, -3 1/6, 2 3/4

Make the mixed numbers into improper fractions by multiplying the whole number with the denominator, and then adding the numerator:

-3 ---> -3/1 (this one's easy)

-2 2/3 ---> -8/3

-3 1/6 ---> -19/6

2 3/4 ---> 11/4 (this one is the only positive one, so it will be the greatest)

Same denominator. I'm using 12.

Multiply -3/1 by 12/12 to get -36/12

Multiply -8/3 by 4/4 to get -32/12

Multiply -19/6 by 2/2 to get -38/12

Multiply 11/4 by 3/3 to get 33/12

Least to greatest (new): -38/12, -36/12, -32/12, 33/12

Least to greatest (old): -3 1/6, -3, -2 2/3, 2 3/4 <-------- this is your answer

Answer:

5 inches

Step-by-step explanation:

Area of the cake:

Area circle: πr²

Solve for r:

-Chetan K

Answer:

The cakes radius is 5 inches.

Explanation:

Steps:

→ [tex]\frac{1}{6}[/tex]πr² = 13

→ πr² = 13(6)

→ πr² = 78

→ r² = [tex]\frac{78}{\pi }[/tex]

→ r = [tex]\sqrt{\frac{78}{\pi }}[/tex]

→ r = 4.982787485

→ r = 5

Therefore the cake has a radius of 5 inches. Do not misunderstand that we are taking slice radius, its the radius of the cake all along.

Answer:

x = 4√2

Step-by-step explanation:

x² - 33 = -1            [ change sides ]

x² = -1 + 33          

x² = 32

x = √3   [changing sides, changes power of square, (²) turns square root,√ ]

x = √4 * 4 * 2

x = 4√2   .......final answer.

Answer:

x = 4√2 or x = −4√2

Step-by-step explanation:

Step 1: Add 33 to both sides.

x2 − 33 + 33 = −1 + 33

x2 = 32

Step 2: Take square root.

x = ±√32

x = 4√2 or x = −4√2

9y

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Answer: answer 98 , 78

Step-by-step explanation:

the way you just flip then and your done

[tex]\begin{array}{llll} \textit{logarithm of factors} \\\\ \log_a(xy)\implies \log_a(x)+\log_a(y) \end{array} ~\hspace{4em} \begin{array}{llll} \textit{Logarithm of rationals} \\\\ \log_a\left( \frac{x}{y}\right)\implies \log_a(x)-\log_a(y) \end{array} \\\\[-0.35em] ~\dotfill\\\\ \underline{\ln(2)+\ln(8)}-\ln(4)\implies \underline{\ln(2\cdot 8)}-\ln(4)\implies \ln(16)-\ln(4) \\\\\\ \ln\left(\cfrac{16}{4} \right)\implies \ln(4)[/tex]

It can be deduced that a non linear function is a function where the graph isn't a line.

Your information is incomplete as the circle isn't given. Therefore, an overview of the non linear function will be given.

A non linear function simply means a function where the graph is not a line. In this case, they do not have a constant slope.

A non linear function is a function shows graph isn't a line or part of a line. In such a case, the graph isn't a straight line.

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Answer: 585000mL

Step-by-step explanation:

We know that there are 1000 milliliters (mL) in a liter (L), hence the prefix milli meaning thousand (for future reference).

As a result, in order to find the amount of milliliters, we need to multiply the amount of liters by 1000.

585Lx1000 = 585000mL

Remember: 1L = 1000mL; mL = 1000L

Answer:

585 into milimiter is 585000000mm

Step-by-step explanation:

that is the answer thank you

Answer:

5/8

Step-by-step explanation:

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