GEOMETRY!!!! pls help (also pls explain)

Answer:

red is 3 and blue is 6 so 3:6

Step-by-step explanation:

To express 48 + 36 as a product of two factors, we need to find two numbers whose product is equal to 48 + 36.

48 + 36 = 84

Now, let's find two factors of 84:

1 * 84 = 84

2 * 42 = 84

3 * 28 = 84

4 * 21 = 84

6 * 14 = 84

7 * 12 = 84

Therefore, we can write 48 + 36 as a product of two factors as:

48 + 36 = 6 * 14

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Answer:

D. -1,1, -1/7,1/7

Step-by-step explanation:

Use all the factors of the leading coefficient, 7. And also, all the factors of the constant, 1.

Put the factors of the constant on top (numerator). Put the factors of the leading coefficient on the bottom (denominator).

+- 1/1 and +- 1/7

Simplifying:

-1, 1, -1/7, 1/7

That's it. Just list of possibilities of the rational zeroes.

\( \huge \boxed{\mathbb{QUESTION} \downarrow}\)

\( \large \boxed{\mathfrak{Answer \: with \: Explanation} \downarrow}\)

Given,

Now, let's solve this question using the above equation which we just formed.

\( \sf \: x - \frac{1}{3}x = 24 \\ \)

Combine x and \(\sf\:-\frac{1}{3}x \) to get \(\sf\frac{2}{3}x\).

\( \sf\frac{2}{3}x=24 \\ \)

Multiply both sides by \(\sf\frac{3}{2}\), the reciprocal of \(\sf\frac{2}{3}\).

\( \sf \: x=24\times \left(\frac{3}{2}\right) \)

Express \(\sf24\times \left(\frac{3}{2}\right)\) as a single fraction.

\( \sf \: x=\frac{24\times 3}{2} \\ \)

Multiply 24 and 3 to get 72.

\( \sf \: x=\frac{72}{2} \\ \)

Divide 72 by 2 to get 36.

\( \boxed{ \bf \: x=36 }\)

We now have the age of Revathi's mother (x) = 36 years. Now, let's find Revathi's age ⇨ \(\sf\:(\frac{1}{3}x) \)

\( \rightarrow \sf \: \frac{1}{3} x \\ \rightarrow \sf \: \frac{1}{3} \times 36 \\ \rightarrow \sf \: \frac{1}{ \bcancel 3} \times \bcancel{36} \\ \rightarrow \sf \:1 \times 12 \\ = \boxed{\boxed{\bf \: 12}}\)

Answer:

Step-by-step explanation:

let x be the mother's age and r be Revathi's age

x-r=24

r=x/3 or 3r=x

Revathi's age is (1/3)*x or x/3

we replace in the first equation x with 3 r

3r-r=24

2r=24

r=12 Revathi's age is 12

His mom is 36

the difference between their age is 36-12=24

The solution is:

No, the ratios 14/10 and 2/1, they do not form a proportion because 14 and 20 are not equal. Hence , not form proportion.

Here, we have,

given that, the ratios 14/10 and 2/1

now, we have to form a proportion if it is possible.

now, we get,

Set up a proportion as 14/10 = 2/1

we have,

Cross multiply:

14×1

10×2

You should get 14 and 20 for the products.

Since the products don't equal each other, they are not proportional.

Hence, The solution is:

No, the ratios 14/10 and 2/1, they do not form a proportion because 14 and 20 are not equal. Hence , not form proportion.

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The maximum value of P is 24 subject to the given constraints. Answer:Thus, the solution of the given problem is P = 24 subject to the given constraints.

To maximize the objective function P = 6x + 4y, given the constraints:x + 3y ≥ 6-x + y ≤ 4 2x + y ≤ 8 x ≥ 0, y ≥ 0We can use the graphical method to solve this Linear Programming problem.Step 1: Graph the given equations and inequalitiesGraph the equations and inequalities to determine the feasible region, i.e., the shaded area that satisfies all the constraints. The shaded area is shown in the figure below:Figure: The feasible region for the given constraintsStep 2: Find the corner points of the feasible regionThe feasible region has four corner points, i.e., A(0,2), B(2,1), C(4,0), and D(6/5,8/5). The corner points are the intersection of the two lines that form each boundary of the feasible region. These corner points are shown in the figure below:Figure: The feasible region with its corner pointsStep 3: Evaluate the objective function at each corner pointEvaluate the objective function at each corner point as follows:Corner Point  Objective Function (P = 6x + 4y)A(0,2)  P = 6(0) + 4(2) = 8B(2,1)  P = 6(2) + 4(1) = 16C(4,0)  P = 6(4) + 4(0) = 24D(6/5,8/5)  P = 6(6/5) + 4(8/5) = 14.4.

Step 4: Determine the maximum value of the objective function The maximum value of the objective function is P = 24, which occurs at point C(4,0). Therefore, the maximum value of P is 24 subject to the given constraints. Thus, the solution of the given problem is P = 24 subject to the given constraints.

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The option is B. Emerson is painting the outside of a cube for a math project. he knows the area of each face is 145 square inches.

the place is the quantity that expresses the quantity of vicinity on the plane or on a curved floor. The area of a plane vicinity or aircraft location refers to the area of a shape or planar lamina, while surface location refers to the region of an open floor or the boundary of a three-dimensional object. the place can be understood as the quantity of material with a given thickness that might be necessary to fashion a model of the shape, or the amount of paint essential to cowl the surface with a single coat. it's by far the 2-dimensional analog of the period of a curve (a one-dimensional concept) or the volume of a stable (a three-dimensional idea).

The region of a form can be measured by using comparing the form to squares of a set size. within the global system of devices (SI), the standard unit of the region is the rectangular meter (written as m²), which is the place of a rectangular whose aspects are one meter long. A shape with an area of 3 square meters might have an equal area to 3 such squares. In mathematics, the unit square is defined to have area one, and the place of some other form or floor is a dimensionless real number.

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AB and AC are equal in length and are represented by x, while BC (the hypotenuse) is √2 times the length of either leg.

We have,

The given triangle is an isosceles triangle.

So,

The angles opposite to the equal sides are equal.

The other angle = 90

Now,

The sum of the triangle = 180

So,

90 + 2x = 180

2x = 180 - 90

2x = 90

x = 45

Now,

In a right triangle with ∠A = 90 degrees, ∠B = 45 degrees, and ∠C = 45 degrees, we have a special case known as a 45-45-90 triangle.

In a 45-45-90 triangle, the sides are in a specific ratio: 1 : 1 : √2.

Let's use this ratio to find the lengths of the sides:

Since AB = AC, let's denote both lengths as x.

AB = AC = x

BC is the hypotenuse, which is √2 times the length of either leg:

BC = √2x

So, the lengths of the sides are:

AB = AC = x

BC = √2 * x

Therefore,

AB and AC are equal in length and are represented by x, while BC (the hypotenuse) is √2 times the length of either leg.

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we find that the numerical approximation using Euler's method gives y(2) ≈ 1.865, while the analytical solution gives y(2) = 2.5.

Using the formula y(n+1) = y(n) + Δx * f(x(n), y(n)), where f(x, y) = x² √y, we can calculate the values of y at each step. Here's the step-by-step calculation:

Step 1: For x = 0, y = 1 (initial condition).

Step 2: For x = 0.2, y = 1 + 0.2 * (0.2)² * √1 = 1.008.

Step 3: For x = 0.4, y = 1.008 + 0.2 * (0.4)² * √1.008 = 1.024.

Step 4: For x = 0.6, y = 1.024 + 0.2 * (0.6)² * √1.024 = 1.052.

Step 5: For x = 0.8, y = 1.052 + 0.2 * (0.8)² * √1.052 = 1.094.

Step 6: For x = 1.0, y = 1.094 + 0.2 * (1.0)² * √1.094 = 1.155.

Step 7: For x = 1.2, y = 1.155 + 0.2 * (1.2)² * √1.155 = 1.238.

Step 8: For x = 1.4, y = 1.238 + 0.2 * (1.4)² * √1.238 = 1.346.

Step 9: For x = 1.6, y = 1.346 + 0.2 * (1.6)² * √1.346 = 1.483.

Step 10: For x = 1.8, y = 1.483 + 0.2 * (1.8)² * √1.483 = 1.654.

Step 11: For x = 2.0, y = 1.654 + 0.2 * (2.0)² * √1.654 = 1.865.

Therefore, using Euler's method with a step size of Δx = 0.2, we approximate y(2) to be 1.865.

To obtain the analytical solution to the ODE, we can separate variables and integrate both sides:

∫(1/√y) dy = ∫x² dx

Integrating both sides gives:

2√y = (1/3)x³ + C

Solving for y:

y = (1/4)(x³ + C)²

Using the initial condition y(0) = 1, we can substitute x = 0 and y = 1 to find the value of C:

1 = (1/4)(0³ + C)²

1 = (1/4)C²

4 = C²

C = ±2

Since C can be either 2 or -2, the general solution to the ODE is:

y = (1/4)(x³ + 2)² or y = (1/4)(x³ - 2)²

Now, let's evaluate y(2) using the analytical solution:

y(2) = (1/4)(2³ + 2)² = (1/4)(8 + 2)² = (1/4)(10)² = 2.5

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Answer:

20.4

Step-by-step explanation:

104 ÷ 5.1 = 20.3921

20.39 = 20.4

Answer:

30% to 70%

Step-by-step explanation:

The recommended working volumetric capacity of blenders is generally 30% to 70% of the total volumetric capacity. The percentage fill up may vary depending on the type of blender. For example, the recommended fill-up volume for the double cone blender is 50% to 60% of the total blender volume.

The surface area of the rectangular prism is 88 square inches.

Given that:

Length, L = 6 inches

Width, W = 2 inches

Height, H = 4 inches

Let the prism with a length of L, a width of W, and a height of H. Then the surface area of the prism is given as

SA = 2(LW + WH + HL)

SA = 2(6 x 2 + 2 x 4 + 4 x 6)

SA = 2 (12 + 8 + 24)

SA = 2 x 44

SA = 88 square inches

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Answer:

90°

Step-by-step explanation:

40+50+x=180

x=90

Answer:

4 1/10 , 103/25 , 4.763 , 4.76

Answer:

Step-by-step explanation:

40 1/10<103/25<4.76<4.763

Answer:

15

Step-by-step explanation:

The mode of a dataset is the data element with the highest frequency

The number of years that represents the mode of the Supreme Court justices served is 5

The dataset is given as:

0 4 6 8 13 15 18 22 26 31 1 4 6 9 13 15 19 23 26 32 1 4 6 9 14 16 19 23 27 33 2 5 7 9 14 16 20 23 28 33 2 5 7 10 14 16 20 23 28 33 2 5 7 10 14 16 20 23 28 34 3 5 7 10 15 17 20 24 29 34 3 5 8 11 15 17 20 24 30 34 3 5 8 13 15 18 21 26 30 36 4 5 8 13 15 18 21 26 31

From the above list

5 has the highest frequency of 7 (greater than other elements)

Hence, the number of years that represents the mode of the Supreme Court justices served is 5

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The general equation of a circle is given as;  (x - h)² + (y - k)² = r² Where h and k are the center points and r is the radius of the circle.

To get an equation of a circle that is parallel to the XY-plane, ignore the z-coordinate of the center point since it doesn't affect the equation.

Let us first write down the equation of the circle with the center point (5,3,7) and radius of 2.

So, (x - 5)² + (y - 3)² + (z - 7)² = 2².

The equation is not parallel to the xy-plane because it contains the z coordinate. The circle should only involve the x and y-coordinates of the center point.

This can be achieved by setting z = 7 and  the equation;(x - 5)² + (y - 3)² + (7 - 7)² = 2²

(x - 5)² + (y - 3)² = 4.

This is the equation of the circle that is parallel to the XY-plane, has a radius of 2, and is centered at (5,3).

The equation of the circle is (x - 5)² + (y - 3)² = 4.

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Answer:

19 just add them toghether 7+5+4+3=19 (m)

Answer:

a = 35

Step-by-step explanation:

\(a^2+b^2=c^2\\a^2+12^2=37^2\\a^2+144=1369\\a^2=1225\\a=35\)

Answer:

d

Step-by-step explanation:

An association between the two variables can be implied if the relative frequencies vary across the columns.

In a two-way table, the relative frequencies represent the proportion of observations within each cell relative to the total number of observations in that column. If the relative frequencies differ significantly across the columns, it suggests that there is an association between the two variables being examined. This indicates that the distribution of one variable is not independent of the other variable, and there may be a relationship or dependence between them. It is important to analyze the patterns in the data, perform additional statistical tests, and consider other factors to confirm the presence and strength of the association.

An association between the two variables can be implied if the relative frequencies vary across the columns.

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Answer:

Can you show the options?

Step-by-step explanation:

Angle 1 and 4 are equal and angle 4 and 6 add up to 180

Answer:

congruent, corresponding, supplementary, same side interior

Step-by-step explanation:

20

\(\frac{y-x}{z}\)

\(\frac{64-4}{3}\)

\(64-4=60\)

60 ÷ 3 = 20

Answer:

can u show me a picture of this problem.

Step-by-step explanation:

Answer:

Step-by-step explanation:

a)   profits = 30,000 + (30,000 * .05 * years)

P(y) = 30,000 + 1500y

b)  P(15) =  30,000 + 1500*(15)

P(15) = 52,500

Answer:

\(sin^2x\)

Step-by-step explanation:

To simplify the expression (1 - cos x)(1 + cos x), we can use the difference of squares identity, which states that \(a^2 - b^2 = (a + b)(a - b).\)

Let's apply this identity to the given expression:

\((1 - cos x)(1 + cos x) = 1^2 - (cos x)^2\)

Now, we can simplify further by using the trigonometric identity \(cos^2(x) + sin^2(x) = 1.\) By rearranging this identity, we have \(cos^2(x) = 1 - sin^2(x).\)

Substituting this into our expression, we get:

\(1^2 - (cos x)^2 = 1 - (1 - sin^2(x))\)

Simplifying further:

\(1 - (1 - sin^2(x)) = 1 - 1 + sin^2(x)\)

Finally, we get the simplified expression:

\((1 - cos x)(1 + cos x) = sin^2(x)\)

To simplify the expression \(\sf\:(1-\cos x)(1+\cos x)\\\), follow these steps:

Step 1: Apply the distributive property.

\(\longrightarrow\sf\:(1-\cos x)(1+\cos x) = 1 \cdot 1 + 1 \cdot \\\)\(\sf\: \cos x -\cos x \cdot 1 - \cos x \cdot \cos x\\\)

Step 2: Simplify the terms.

\(\longrightarrow\sf\:1 + \cos x - \cos x - \cos^2 x\\\)

Step 3: Combine like terms.

\(\longrightarrow\sf\:1 - \cos^2 x\\\)

Step 4: Apply the identity \(\sf\:\cos^2 x = 1 - \sin^2 x\\\).

\(\sf\:1 - (1 - \sin^2 x)\\\)

Step 5: Simplify further.

\(\longrightarrow\sf\:1 - 1 + \sin^2 x\\\)

Step 6: Final result.

\(\sf\red\bigstar{\boxed{\sin^2 x}}\\\)

\(\huge{\mathfrak{\colorbox{black}{\textcolor{lime}{I\:hope\:this\:helps\:!\:\:}}}}\)

♥️ \(\large{\textcolor{red}{\underline{\mathcal{SUMIT\:\:ROY\:\:(:\:\:}}}}\)

Answer:s manifestos icons did go oc so oc do is do is do well oc well onto anton

Step-by-step explanation:

sorry need points