Matt and 4 other friends split 1/3 of a pan of lasagna. How much did each friend get? (Label is "of a pan" or "pan")

The reason these triangles are similar is A. Angle-Angle similarity.

Angle-Angle similarity, also known as AA similarity, states that if two angles of one triangle are congruent to two angles of another triangle, then the two triangles are similar.

In the figure that we are given, we see two angles that are similar as shown on the diagram. These angles are on the different triangles and yet are congruent which means that the triangles are similar.

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Answer:

see image

Step-by-step explanation:

i worked this two different ways, depending on what your original question was. See image.

Answer:

rational

Step-by-step explanation:

cause the decimal expansion ends in Os. decimal point

Answer:

Step-by-step explanation:

∠1 and 85 are supplementary

m∠1 = 180 - 85 = 95°

The total distance of the obstacle course can be calculated by finding the distance between each pair of consecutive points and adding them up. The distance between two points (x1, y1) and (x2, y2) can be calculated using the formula: distance = sqrt((x2 - x1)^2 + (y2 - y1)^2).

Using this formula, we can calculate the distances between each pair of consecutive points as follows:

Start to Tire Race: distance = sqrt((-40 - (-40))^2 + (-30 - (-10))^2) = 20 yards

Tire Race to Rope Climb: distance = sqrt((40 - (-40))^2 + (-30 - (-30))^2) = 80 yards

Rope Climb to Monkey Bars: distance = sqrt((40 - 40)^2 + (20 - (-30))^2) = 50 yards

Monkey Bars to Finish: distance = sqrt((10 - 40)^2 + (20 - 20)^2) = 30 yards

Adding up all these distances, we get a total distance of 20 + 80 + 50 + 30 = 180 yards for the obstacle course.

Option D is the correct option. A legitimate distribution of probabilities satisfies two conditions: (i) each probability is greater than or equal to 0, and (ii) the sum of all probabilities is equal to 1.

In example (A), each probability is 0.35 and satisfies condition (i), but the sum of probabilities is greater than 1, so it is not a legitimate distribution. In example (B), the sum of probabilities is less than 1, so it is also not a legitimate distribution. In example (C), one of the probabilities is negative, so it violates condition (i) and is not legitimate. Finally, in example (D), all probabilities are greater than or equal to 0 and the sum of probabilities is equal to 1, so it is a legitimate distribution. Therefore, the correct answer is (D).

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Complete question is in the image attached below

The radical form of the expression 2^(4/3) is given as follows:

\(2^{\frac{4}{3}} = \sqrt[3]{2^4} = 2\sqrt[3]{2}\)

The general format of the exponential expression is given as follow

\(a^{\frac{n}{m}}\)

To obtain the radical form, we have that:

Hence the radical form of the exponential expression is given as follows:

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

The parameters for this problem are given as follows:

a = 2, n = 4, m = 3.

Hence the radical form of the expression is given as follows:

\(2^{\frac{4}{3}} = \sqrt[3]{2^4} = 2\sqrt[3]{2}\)

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Answer:

x<(with a line underneath)-1

Step-by-step explanation:

10-2x>(with a line underneath)12

-10 -10

-2x>(with a line underneath)2

/-2 /-2

x<(with a line underneath)-1

The expression for the total number of packets of crisps that Jane buys is given as follows:

p + c.

The amounts of packets of crisps purchased are given as follows:

The expression for the total number of packets of crisps that Jane buys is given by the addition of these two amounts.

Hence the expression for the total number of packets of crisps that Jane buys is given as follows:

p + c.

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The statement missing in the proof is option D. m ∠ ⁢ 3 + m ∠ ⁢ 5 = 180 ∘.

A triangle is classified as a geometric shape with three sides and three angles. It is one of the basic shapes in geometry, and is typically characterized by its three interior angles, which must add up to 180 degrees. The most common types are the equilateral triangle (all sides equal), the isosceles triangle (two sides equal), and the scalene triangle (no equal sides).

A proof involves logical deduction of the statements in order to arrive at a conclusion. In this case, the conclusion is that the angles 3, 5, and 7 are all congruent. To do this, the proof must show that the angles add up to 180 degrees, which is the sum of the angles in a triangle. Option D, m ∠ ⁢ 3 + m ∠ ⁢ 5 = 180 ∘, is the statement that must be included in the proof to show that the angles are congruent. Without this statement, it is impossible to prove that the three angles are congruent. Therefore, Option D is the missing statement in the proof.

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a.) The value of pulses exported by US in billion would be=30 billion.

b.) The ratio of wheat export of UK to maize export of IND would be= 6:5

For question a.)

To calculate the pulses, the following steps should be taken as follows:

From the bar chart, the value of pulses in billions = 30 billions.

For question b.)

The ratio of wheat export at UK and maize export at IND would be calculated as follows:

The quantity of wheat export at UK = 24

The quantity of maize export at IND = 20

Therefore, the ratio of wheat to maize = 24:20= 6:5

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Answer:

13.69%

Step-by-step explanation:

793-54=739

739/54=13.68518519

The Venn Diagram for these given sets is graphed at the end of the answer.

A Venn Diagram uses circles to show if elements belong to one set, or multiple sets, in the intersection.

For this problem, we have that:

The Venn Diagram showing this is inserted at the end of the answer. There are a two erasers marks because of typing mistakes on my part.

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Answer:

Step-by-step explanation:

Answer:

0; 3.

Step-by-step explanation:

1) if to substitute x=1 into the given equation, it is possible to calculate the value of 'm':

1-m²-m+1=0; ⇔ m²+m-2=0; ⇒ m₁=-2; m₂=1;

2) if m=-2 and m=1, then the initial equation is:

x²-4x+3=0 or x²-x=0;

3) according to the item 3), the 2d root is:

x₂=3 or x₂=0.

Answer:

There are infinite rational numbers between any two numbers

PLS MARK ME AS THE BRAINLIEST

Answer:

5 inches

Step-by-step explanation:

The volume of a cube will be its length x width x height. In this case, the values will be equal.

Your equation is ∛125

= 5 inches

Option A is correct. The length of one side of the cube is 5 inches.

The term “volume” refers to the amount of three-dimensional space taken up by an item or a closed surface. It is denoted by V and its SI unit is in cubic m.

The volume of cube is found as the cube of its side;

Volume of cube = side³

V=s³

125=s³

s=∛125

s=5 inches

Hence, the length of one side of the cube is 5 inches.

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The profit function is P(x) = -500.523x^2 + 600x - 200.

To find the profit function, P(x), we need to subtract the cost function, C(a), from the revenue function, R(x).

Given:

Cost function: C(a) = 500x^2 + 300

Revenue function: R(x) = -0.523x^2 + 600x - 200 + 300

Profit function, P(x), is obtained by subtracting the cost function from the revenue function:

P(x) = R(x) - C(a)

P(x) = (-0.523x^2 + 600x - 200 + 300) - (500x^2 + 300)

Simplifying the expression:

P(x) = -0.523x^2 + 600x - 200 + 300 - 500x^2 - 300

P(x) = -500x^2 - 0.523x^2 + 600x + 300 - 200 - 300

P(x) = -500x^2 - 0.523x^2 + 600x - 200

Combining like terms:

P(x) = (-500 - 0.523)x^2 + 600x - 200

Simplifying further:

P(x) = -500.523x^2 + 600x - 200

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Answer:

29° is true

true is true is true

Answer:

29°

Step-by-step explanation:

\(Sin \ X= \dfrac{opposite \ side}{hypotenuse}\\\\Sin \ x =\dfrac{12}{25}=0.48\\\\x= Sin^{-1} \ (0.48)\\\\x = 28.68\\\\x = 29\)

Answer:

William Shakespeare

Step-by-step explanation:

What is Shakespeare's name?

William Shakespeare

Answer:

B

Step-by-step explanation:

Since g(f(x))=x g ( f ( x ) ) = x , f−1(x)=x5+45 f - 1 ( x ) = x 5 + 4 5 is the inverse of f(x)=5x−4 f ( x ) = 5 x - 4 .

Answer:

B. \(-\frac{1}{5} x+\frac{4}{5}\)

Step-by-step explanation:

1. Rewrite the function as a linear equation:

y = -5x - 4

2. Swap x and y:

x = -5y - 4

3. Solve for y:

x+4 = -5y - 4+4

x + 4/-5 = -5y/-5

\(\frac{x+4}{-5}\) = y  can be rewritten as \(-\frac{1}{5} x+\frac{4}{5}\)

4. Write in inverse notation:

f(x) = \(-\frac{1}{5} x+\frac{4}{5}\)

Therefore, B is the answer.

The minimum surface area that such a box can have is 380 square

Represent the base length with x and the bwith h.

So, the volume is

V = x^2h

This gives

x^2h = 500

Make h the subject

h = 500/x^2

The surface area is

S = 2(x^2 + 2xh)

Expand

S = 2x^2 + 4xh

Substitute h = 500/x^2

S = 2x^2 + 4x * 500/x^2

Evaluate

S = 2x^2 + 2000/x

Differentiate

S' = 4x - 2000/x^2

Set the equation to 0

4x - 2000/x^2 = 0

Multiply through by x^2

4x^3 - 2000 = 0

This gives

4x^3= 2000

Divide by 4

x^3 = 500

Take the cube root

x = 7.94

Substitute x = 7.94 in S = 2x^2 + 2000/x

S = 2 * 7.94^2 + 2000/7.94

Evaluate

S = 380

Hence, the minimum surface area that such a box can have is 380 square

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Answer:

We can use the formula for continuous compound interest to find the balance in Joseph and Deb's savings account after 1 year:

A = Pe^(rt)

where A is the balance, P is the principal (initial deposit), e is the mathematical constant approximately equal to 2.71828, r is the annual interest rate as a decimal, and t is the time in years.

Substituting the given values, we get:

A = $600.00e^(0.05*1)

Using a calculator, we get:

A ≈ $632.57

Therefore, Joseph and Deb will have approximately $632.57 in their savings account after 1 year. They can spend up to this amount on their trip. Rounded to the nearest cent, the answer is $632.57.

Answer:2.1

Step-by-step explanation:

\text{Draw a diagram:}

Draw a diagram:

D

E

F

e = 2.7

f = ?

49°

58°

\text{A.S.A.}\rightarrow \text{Law of Sines}

A.S.A.→Law of Sines

\frac{a}{\sin A}=\frac{b}{\sin B}

sinA

a

​

=

sinB

b

​

\text{Find other angle:}

Find other angle:

\angle E=180-49-58=73^{\circ}

∠E=180−49−58=73

∘

D

E

F

e = 2.7

f = ?

49°

58°

73°

\frac{f}{\sin 49}=\frac{2.7}{\sin 73}

sin49

f

​

=

sin73

2.7

​

f=\frac{2.7\sin 49}{\sin 73} \approx 2.131 \approx 2.1

f=

sin73

2.7sin49

​

≈2.131≈2.1

Answer:A shopkeeper has 2425 boxes of 24 pencils each. How many pencils do all the boxes have in all?​

Step-by-step explanation:

Answer:

1. \( h = -3t + 18 \)

2. The amount of snow that accumulated the previous night.

Step-by-step explanation:

1. height of snow = h cm

time = t hrs

To determine the linear function, find the slope (m) of the line, and the y-intercept (b). Then represent the function in slope-intercept form as y = mx + b. Where,

y = h,

x = t

m = slope

b = y-intercept

Find slope (m) using points (6, 0) and (0, 18):

\( m = \frac{h_2 - h_1}{t_2 - t_1} = \frac{18 - 0}{0 - 6} = \frac{18}{-6} = -3 \)

m = -3

The y-intercept is where the line intercepts the y-axis = 18

Substitute y = h, x = t, m = -3, and b = 18 into y = mx + b.

Thus, the linear function would be:

\( h = -3t + 18 \)

2. The Initial value is the y-intercept, which is 18. In this case, 18 represents the amount of snow in cm, that accumulated the previous night.

Answer:

13.27 cm

Step-by-step explanation:

I am using (xy) to mean the length of the side xy

7^2 + (xy)^2 = 15^2

49 + (xy)^2 = 225

(xy)^2 = 225-49

(xy)^2 = 176

Side (xy) = sqrt(176) = 13.2664991614 = 13.27 cm

Answer:

711 ft (nearest foot)

Step-by-step explanation:

Create two equations using trig ratios and the information given (refer to the attached diagram).  Equate the equations and solve.

First equation

Let y = horizontal distance between sensor 1 and the aircraft

Let h = height of aircraft above the ground

Using the tangent trig ratio:

\(\mathsf{\tan(\theta)=\dfrac{opposite \ side}{adjacent \ side}}\)

Given:

\(\implies \mathsf{\tan(20)=\dfrac{h}{y}}\)

Rearrange to make y the subject:

\(\implies \mathsf{y=\dfrac{h}{\tan(20)}}\)

Second equation

Let y + 700 = horizontal distance between sensor 2 and the aircraft

Let h = height of aircraft above the ground

Using the tangent trig ratio:

\(\mathsf{\tan(\theta)=\dfrac{opposite \ side}{adjacent \ side}}\)

Given:

\(\implies \mathsf{\tan(15)=\dfrac{h}{y+700}}\)

Rearrange to make y the subject:

\(\implies \mathsf{y=\dfrac{h}{\tan(15)}-700}\)

Now equate the 2 equations and solve for h:

\(\implies \mathsf{\dfrac{h}{\tan(20)}=\dfrac{h}{\tan(15)}-700}}\)

\(\implies \mathsf{700=\dfrac{h}{\tan(15)}-\dfrac{h}{\tan(20)}}\)

\(\implies \mathsf{700=\dfrac{h\tan(20)-h\tan(15)}{\tan(15)\tan(20)}}\)

\(\implies \mathsf{700=\dfrac{\tan(20)-\tan(15)}{\tan(15)\tan(20)}h}\)

\(\implies \mathsf{h=\dfrac{700\tan(15)\tan(20)}{\tan(20)-\tan(15)}}\)

\(\implies \mathsf{h=710.9678247...}\)

Therefore, the height of the aircraft is 711 ft (nearest foot)

Answer:

2y-x=0

Step-by-step explanation:

Slope(m)= (5-2)/(10-4)=3/6=1/2

y-intercept(c)=0

y=mx+c

y=1/2*x+0

y=x/2

2y-x=0