What percentage is 4 out of 18

Answer:

1)  40°

2) 40°

3) 100°  

Step-by-step explanation:

The sum of angels of a triangle is: 180°

The ratio of angles are: 4x,4x,10x

The sum of ratios: 4x + 4x + 10x

=> 18x

Therefore,

=> 18x = 180

=> x = 180/18

=> x = 10

So, required angels are:

The angles of the triangular supports of the wooden table are 40 degrees, 40 degrees, and 100 degrees.

The sum of the angles in any triangle is 180 degrees. Given that the angles are in the ratio 4x : 4x : 10x, we can find the value of x by setting up the equation:

4x + 4x + 10x = 180

Combining like terms, we get:

18x = 180

To find the value of x, we divide both sides of the equation by 18:

x = 180 / 18

x = 10

Now that we have the value of x, we can find the measures of the three angles:

First angle = 4x = 4 * 10 = 40 degrees

Second angle = 4x = 4 * 10 = 40 degrees

Third angle = 10x = 10 * 10 = 100 degrees

 The answer is: [tex]40^\circ, 40^\circ, 100^\circ.[/tex]

7.32

10 = 73.2

100 = 732

1000 = 7320

0.006

10 = 0.06

100 = 0.6

1000 = 6

The decimal place moves to the right depending on how many zeros the number has.

For example, if you had 0.6 multiplied by 100, you would move 2 decimal places to the right because 100 has two zeros.

71°

This is an isosceles triangle because it has two sides with lengths, hence the angles opposite the equal sides are also equal, that is ∠U = ∠V.

So we can say that:

∠U = ∠V = α

∠W = β

Since the internal angles of a triangle add up to 180 degrees, then:

α + α + β = 180

2α + β = 180

β = 180 - 2α

Using the law of sine:

[tex]\frac{35}{sin\beta} =\frac{30}{sin\alpha} \\ \\ \frac{35}{sin(180 - 2\alpha)} =\frac{30}{sin\alpha} \\ \\ \\ From \ Properties: \\ \\ sin(180-2\alpha)=sin(180)cos2\alpha-sin2\alpha cos(180) \\ \\ = -sin2\alpha(-1)=sin2\alpha \\ \\ Also: \\ \\ sin2\alpha=2sin\alpha cos\alpha[/tex]

Therefore:

[tex]\frac{35}{2sin\alpha cos\alpha} =\frac{30}{sin\alpha} \\ \\ \therefore \frac{35}{60}=cos\alpha \\ \\ \alpha=cos^{-1}(\frac{7}{12})=54.31^{\circ}[/tex]

But we want to know ∠W = β, therefore:

[tex]\beta = 180 - 2\alpha \\ \\ \beta =180-2(54.31)=71.37^{\circ}[/tex]

And rounded to the nearest degree:

∠W = 71°

Answer:

A. 3 Inches

Step-by-step explanation:

To find the radius of the circle, we need to use the Pythagorean Theorem.

a²+b²=c²

a = r inches

b = AD or 4 inches

Now to get the value of c, we need to consider the measurement of the line AD. The sum of line AD and line DC will be the value of the hypotenuse.

c = r + 2 inches

Now that we have our variables, let's plug them in.

a² + b² = c²

r²+ 4² = (r + 2)²

Now we need to use the FOIL method for r + 2.

r² + 16 = (r + 2)(r + 2)

r² + 16= r² + 2r + 2r + 4

r² + 16 = r² + 4r + 4

Now we can remove r² by subtracting both sides by r², leaving us with:

16 = 4r + 4

Now we subtract 4 from both sides.

4r = 12

Now we divide both sides by 4.

r = 3 inches

Answer:

A. 3 inches

Step-by-step explanation:

Triangle ABC is a right angled triangle

Therefore;

Using the Pythagoras theorem then;

AB² + BC² = AC²

but BC = CD = radius

Hence;

4² + r² = (r+2)²

16 + r² = r² + 4r +4

 16 - 4 = 4r

    12 = 4r

   r = 3

Therefore; the radius of the circle is 3 inches

Leo earned approximately $992.08 in interest after 13 years.

Compound interest is calculated using the formula:

A = P(1 + r/n)^(nt)

Where:

In this case, Leo deposited $2494.05 with an interest rate of 2.5% compounded weekly for 13 years. Plugging the values into the formula:

A = 2494.05(1 + 0.025/52)^(52*13)

A = 2494.05(1.00048077)^(676)

A ≈ $3486.13

To find the interest earned, subtract the principal amount from the total future amount:

Interest = A - P

Interest ≈ $3486.13 - $2494.05

Interest ≈ $992.08

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Answer:

66

Step-by-step explanation:

➷ 3x + 9 = 12

Subtract 9 from both sides:

3x + 9 - 9 = 12 - 9

As you can see, the '9' would cancel out on the left side:

3x = 3

Divide both sides by 3:

x = 1

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3x + 9 =12

To solve for x you need to get it by itself.

First subtract 9 from both sides of the equation:

3x = 3

Now divide both sides by 3

x = 3/3

x = 1

Answer: the answer is three sorry if its wrong.

Step-by-step explanation:

Your answer will be 3

Im pretty sure this is the answer

12x-6y+2

Answer:

Step-by-step explanation:

Answer:

Step-by-step explanation:

The formula of a volume of a sphere:

[tex]V=\dfrac{4}{3}\pi R^3[/tex]

We have V = 36(3.14) cm³ = V = 36π cm³. Substitute:

[tex]\dfrac{4}{3}\pi R^3=36\pi[/tex]      divide both sides by π

[tex]\dfrac{4}{3}R^3=36[/tex]           multiply both sides by 3

[tex]4R^3=108[/tex]            divide both sides by 4

[tex]R^3=27\to R=\sqrt[3]{27}\\\\R=3\ cm[/tex]

The diameter D = 2R.

Therefore D = 2(3 cm) = 6cm

Answer:

128

Step-by-step explanation:

Do the multiplication:

4 * 4 * 8 = 128

Answer:

B

Step-by-step explanation:

7 + x = 84

Subtract 7 from both sides.

x = 77

Answer:

-12

Step-by-step explanation:

12x−3y

Let x = -1/4   and y=3

12(-1/4) -3(3)

Multiply

-12/4 -9

Divide

-3-9

Add

-12

Answer:

-12

Step-by-step explanation:

12x-3y...

It is straightforward, but you plug in -1/4 and 3 in the equation.

12(-1/4)-3(3)

-3-9

so you get

-12

Answer: OPTION C

Step-by-step explanation:

Use the following formula:

[tex]SA=\frac{pl}{2}+B[/tex]

Where p is the perimeter of the base, l is the slant height and B is the area of the base.

The perimeter is:

[tex]p=4*s=4*5.3yd=21.2yd[/tex]

Where s is the side lenght

The slant height is given:

[tex]l=11.1yd[/tex]

The area of the base is:

[tex]B=s^2=(5.3yd)^2=28.09yd^2[/tex]

Where s is the side lenght

Substitute values. Then, the result is:

[tex]SA=\frac{(21.2yd)(11.1yd)}{2}+28.09yd^2)=145.75yd^2[/tex]

Answer:

The correct answer option is C. 145.75 yd^2.

Step-by-step explanation:

We are given a diagram of a right square pyramid with a slant height 11.1 yd, and base edge length 5.3 yd.

We know that the surface area of a right square pyramid is given by:

[tex]\frac{PI}{2} +B[/tex]

where P = perimeter of the base, I = slant height and B = base area.

Perimeter of base = [tex]4 \times 5.3[/tex] = 21.2 yd^2

Base Area = [tex]5.3^3[/tex] = 28.09 yd^2

Surface area of right square pyramid = [tex]\frac{21.2 \times 11.1 }{2} + 28.09[/tex] = 145.75 yd^2

Answer:

p should equal -4

Step-by-step explanation:

Answer:

16,21,15

Step-by-step explanation:

The solutions are 16, 21, and 15. The only value that is not a solution is 11 since 11 is less than 15

Inequality expressions are expressions separated by an unequal sign

Given the inequality expression 15 ≤ y

On swapping sides, the inequality sign will change to have y ≥ 15

Based on the table, we need to select yes for values that are greater than or equal to 15 and select no if otherwise

Based on the given value, the solutions are 16, 21, and 15. The only value that is not a solution is 11 since 11 is less than 15

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Answer:

[tex]x^{2}y -y+xy^{2}\\y(x^{2}-1+xy)\\[/tex]

Step-by-step explanation:

take out the y

Answer should be C

hope this helped you.

Answer:

[tex]8a^3b^3c^4(\sqrt[3]{bc} )[/tex]  C. should be your answer

Step-by-step explanation:

Answer:

Step-by-step explanation:

Good evening ,

________________

the ratio of pieces of chocolate without nuts to pieces of chocolate with nuts:

20:12 = (20:4) : (12:4) = 5:3.

Then the correct answer is D.

____________________________

:)

To find the ratio of chocolates without nuts to chocolates with nuts, divide the quantities of each. With 20 chocolates without nuts and 12 with nuts, the simplified ratio is 5:3, corresponding to answer D.

The question asks us to find the ratio of pieces of chocolate without nuts to pieces of chocolate with nuts. George has 12 pieces of chocolate with nuts and 20 pieces of chocolate without nuts.

To determine the ratio, we divide the number of chocolates without nuts by the number of chocolates with nuts:

Therefore, the correct answer is D. 5:3. This is the ratio of pieces of chocolate without nuts to pieces of chocolate with nuts.

Answer:

190

Step-by-step explanation:

430->230 subtract 200

430->230->200 subtract 200 then 30

430->230->200->190 subtract 200 then 30 then 10

To solve 430-200 using the arrow way, start with 430, draw an arrow to subtract 200, and write the result, 230, at the tail of the arrow.

To find the solution to 430-200 using the arrow way, you can follow these steps:

This visual representation using arrows helps illustrate the process of subtraction. The final answer, or the head of the arrow, is therefore 230.

X+2x+2x=180

5x=180

X=36

2x=72

2x=72

The probability of rolling an odd number on a six-sided die is 1/2 or 50%, calculated by dividing the 3 odd outcomes (1, 3, and 5) by the total of 6 possible outcomes.

If you roll a single six-sided die, the question asks what is the probability of rolling an odd number. A six-sided die has three odd numbers (1, 3, and 5) and three even numbers (2, 4, and 6). Therefore, the probability of rolling an odd number is calculated by dividing the number of odd outcomes by the total number of possible outcomes.

The formula for probability is Probability = Number of favorable outcomes / Total number of possible outcomes. In this case, there are 3 favorable outcomes (rolling a 1, 3, or 5) out of 6 possible outcomes (since a die has 6 sides). Therefore, the probability is 3/6, which simplifies to 1/2.

So, if you roll a single six-sided die, the probability of rolling an odd number is 1/2 or 50%.

Answer:

Step-by-step explanation:

1) Percentage of blue = [tex]\frac{6}{36} *100\\=16.67%\\=17%[/tex]

True

2) Organe has the least number and hence true

3) Yes. 36 students represent 100% of the data set

4) violet has 12 i.e. 12/36 =1/3 of the total. Hence true.

5) There are 7 colours and hence 7 segments.  Hence false.

Answer:

1, 2, 3, 4, and 6

Step-by-step explanation:

Right on E D G E N U I T Y unit test.

Answer:

She can chose 2 books from 8 books in 28 different way.

Step-by-step explanation:

In the given scenario the member has to chose 2 books from a group of 8 books. The order of choosing books does not matter. For example if the books are A,B,C,D,E,F,G and H, and the member picks books A and B or books B and A, she is picking up the same books. This means order of selection does not matter here, so this is a problem of combinations.

We have to form combination of 8 books taken 2 at a time i.e. 8C2

The general formula of combination is:

[tex]nCr=\frac{n!}{r!(n-r)!}[/tex]

Using the values of n=8 and r=2, we get:

[tex]8C2=\frac{8!}{2!(8-2)!}=28[/tex]

This means, she can chose 2 books from 8 books in 28 different ways.

Answer:

28 was right on acellus

Step-by-step explanation:

5:1, 5/6, or 84%(rounded).

There is one chance of rolling a 2 and since it is against rolling a 2, you have a 5 other numbers you could get.

it will travel 343m•7. this is 2401 meters.

The distance of the sound in 7 seconds will be 2401 meters.

The mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.

Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.

Given that sound travels in waves. in dry air at 20 Celsius, sound travels about 343 meters in one second.

The distance travelled by the sound in 7 seconds will be calculated as,

Distance = 343 x time

Distance = 343 x 7

Distance = 2401 meters

Therefore, the distance of the sound in 7 seconds will be 2401 meters.

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I wish I could help but I can’t bc I don’t know what it is sorry

Answer:

300 carrots

Step-by-step explanation:

Count the square units inside the composite figure. The area of the garden is 20 sq. units. Each square unit will grow about 15 carrots. Therefore, Christina will multiply 20 by 15 totaling to 300 carrots.

answer: v = -13

step by step explanation:

Answer:

v = - 13

Step-by-step explanation:

Distribute parenthesis on both sides of the equation

54 - 18v = - 12v + 132 ( add 12v to both sides )

54 - 6v = 132 ( subtract 54 from both sides )

- 6v = 78 ( divide both sides by - 6 )

v = - 13

Answer:

To find the area of a triangle, multiply the base by the height, and then divide by 2. The division by 2 comes from the fact that a parallelogram can be divided into 2 triangles. For example, in the diagram to the left, the area of each triangle is equal to one-half the area of the parallelogram.

this will show u i searched it and wrote half in my words

Answer:

315 in^2

Step-by-step explanation:

Triangles

Area of the two triangular faces.

Area = 1/2 * h * b

h = 7 in

b = 11 in

Area = 1/2 * 7 * 11

Area = 1/2 * 77

Area = 38.5

But there are 2 faces

Area = 38.5 * 2

Area = 77 in^2

Area Left Face

Area left face = height * width

Area left face = 14 * 8

Area left face = 112 in^2

Area Right face

Area Right face = w*h

w = 9

h = 14

Area = w*h

Area right face = 126 in^2

Total Area

Total Area = 126 + 112 + 77

Total Area = 315 in^2