Leon is helping his baby sister Daphne eat her dinner. There are 121212 peas left in Daphne's bowl and 777 peas squished in her hair.
What is the ratio of peas in Daphne's bowl to peas in her hair?

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 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:

x^2+2x+2

Step-by-step explanation:

(x+1)(x+1) or (x+1)^2

x = -1

Answer:

Step-by-step explanation:

x²+8x+15 is the quadratic equation and it can be solved by factoring. By factoring the answer will be (x+3) (x+5) and if it is expanded, the answer will be x²+8x+15. First, you should factorize the equation. Then, find the two numbers that if they are added together the sum will 8 and if they are multiplied the product is 15.

Hope this helps!

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.

X+2x+2x=180

5x=180

X=36

2x=72

2x=72

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:

each shirt costs $25

Step-by-step explanation:

we can make an equation using x as the cost of each shirt. since 254 was the total, they will=254 together , and since we have 9 shirts, its 9x. we can use this info to create the equation 9x+29=254. we subtract 29 on each side to get 9x=225. we then divide 9 on both sides to get x=25. so each shirt costs $25

Brainliest plzzz

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

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:

Answer:

p should equal -4

Step-by-step explanation:

Answer:

Step-by-step explanation:

[tex]<a,\ b>\circ<c,\ d>=ac+bd\\\\a=<2,\ 4>,\ b=<2,\ 5>\\\\a\circ b=<2,\ 4>\circ<2,\ 5>=(2)(2)+(4)(5)=4+20=24[/tex]

Answer:

because they help us better analyze data

Step-by-step explanation:

we can see a lot of data on one small thing such as a graph, so we can easily graph data from many years on one graph

Graphs in mathematics help us visually represent equations and display data, allowing us to understand patterns, trends, and relationships between variables.

Graphs are an important tool in mathematics as they help us better understand our world by visually representing equations and displaying data. Graphs can show the relationship between different variables, such as in a line graph where one variable is plotted on the horizontal axis and another on the vertical axis. They can also represent data using bar graphs or pie graphs, which help us compare and interpret numerical information.

For example, if we want to analyze the temperature changes throughout a year, we can plot the temperature on the vertical axis and the months on the horizontal axis. By connecting the data points, we can see patterns and trends, such as variations in temperature during different seasons.

In addition, graphs allow us to make predictions and draw conclusions based on the data presented. By analyzing the shape and slope of a graph, we can determine the rate of change, identify maximum and minimum values, and make predictions about future outcomes.

Answer:

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

Step-by-step explanation:

take out the y

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

Answer:

66

Step-by-step explanation:

Answer:

y = 2

Step-by-step explanation:

Plug 1 into x

2(1) = 2

Answer:

B

Step-by-step explanation:

7 + x = 84

Subtract 7 from both sides.

x = 77

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:

Step-by-step explanation:

The repeated subtraction of 8 from 32 until reaching 0 can be represented by the division equation 32 ÷ 8 = 4, showing the number of times 8 is subtracted from 32.

The student is performing repeated subtraction of the same number, which can also be represented by a division equation. The repeated subtraction mentioned:

Shows that 32 is being subtracted by 8 until it reaches 0, and this process happens four times. Thus, we can convert this series of subtractions into a division equation: 32 ÷ 8 = 4. This equation means that you can subtract 8 from 32 four times before reaching zero, which is equivalent to dividing 32 by 8.

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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:

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.

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

471.9=65% × x

671.9/65 = x

x= 10.336923077

Check! Proof!

10.336923077×65%

=671.9

Answers

10.336923077

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:

15

Step-by-step explanation:

Call the unknown time x.

The mean is the sum of the numbers divided by the number of numbers.

There are 5 numbers.

(8 + 10 + 38 + x + 20)/5 = 18.2

(x + 76)/5 = 18.2

x + 76 = 91

x = 15

Answer:

Step-by-step explanation:

Add all the scores you do know

8  + 10 + 38 + 20 = 76

Now put in an ex for the situps.

76 + x

There are 5 subjects

(76 + x) /5 = 18.2

The average was 18.2

Multiply both sides by 5

5*(76 + x ) / 5 = 18.2 * 5      

Cancel the left combine the right.

76 + x  = 91

Subtract 76 from both sides

76 - 76 + x = 91 - 76

x = 15

Answer:

D.) You pay $9  for a burger and some amount for dessert for a              total of $16.

 Bottom Right

Answer:

Step-by-step explanation:

12:7 I'm pretty sure thats right and if its not then try 7:12

Answer:

128

Step-by-step explanation:

Do the multiplication:

4 * 4 * 8 = 128