how do i comeplete this equation using substitution?

Answer:

Complentary = angle add up to 90 degrees

let smaller angle = x

x+2x=90

3x=90

x=30

-----

30 is the measure of the smaller angle.

Answer:

5x -4, -X + 16

Step-by-step explanation:

Yes, the rhombus is also a parallelogram

The area of the rhombus is 77 ft²

The formula for calculating the area of a rhombus is expressed as;

A = bh

Such that the parameters of the equation are verbally as;

From the information given, we have that;

base = 7ft

Height = 11 ft

Substitute the values, we get;

Area = 7(11)

Multiply the values, we have;

Area = 77 ft²

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Answer:

this is a Pentagon , have five sides

Answer:

A Pentagon

Step-by-step explanation:

The measures of the complementary angles are of:

37º and 53º.

Complementary angles are angles whose measures add to 90º.

For this problem, the angles are:

Their sum is of 90º, hence:

x + 2x - 21 = 90

3x = 111

x = 111/3

x = 37.

Then the angles are:

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The correct answer is (C) (i) only. The given differential equation is separable, but it is not linear, and no conclusions can be made about the behavior of y(x) for negative values of y.

(i) This differential equation is separable: Separable differential equations can be written in the form dy/dx = f(x)g(y), where the variables x and y can be separated on opposite sides of the equation. However, the question does not provide the specific form of the differential equation, so we cannot determine if it is separable.

(ii) This differential equation is linear: A linear differential equation can be written in the form dy/dx + P(x)y = Q(x), where P(x) and Q(x) are functions of x. Since the specific form of the equation is not provided, we cannot determine if it is linear.

(iii) y(x) is increasing for negative values of y: Without the specific form of the differential equation, we cannot determine any information about the behavior of y(x) for negative values of y.

Based on the given information, the only statement that can be concluded is that the differential equation is separable (i). Therefore, the correct answer is (C) (i) only.

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Answer:

The answer is 6.

Step-by-step explanation:

If there are 270 students going on the trip and there would be a teacher for every 45 students you would have to divide.

You would divide 270 ÷ 45 = 6.

The required number of teachers for the trip is 12.

Given that,
A school was taking a field trip. The principal wanted 2 teachers for every 45 students. If 270 students will be attending the trip how many teachers must chaperone is to be determined.

Proportionality is defined as between two or more groups of values, and how these values are related to each other in the sense that are they directly proportional or inversely proportional to each other.

Let the number of teachers is x and the number of students is y, which are directly proportional to each other
y ∝ x
y = km
where k is the constant proportionality.

at y = 45 x = 2
45 = K * 2
K = 45 / 2
Now,
y = 45/2 x
Now for y =270
270 = 45 / 2 x
x = 270 * 2 / 45
x = 12

Thus, the required number of teachers for the trip is 12.

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The total surface area of the cylinder is approximately 116.28 cm² (rounded to two decimal places).

To find the surface area of the cylinder, we need to first find the height of the cylinder. We know that the circumference of the base of the cylinder is equal to the length of the square paper, which is 10 cm.

The formula for the circumference of a circle is C = 2πr, where C is the circumference and r is the radius. Since we know that the circumference is 10 cm, we can solve for the radius:

10 = 2πr

r = 5/π

Now that we know the radius, we can find the height of the cylinder. The height is equal to the length of the square paper, which is 10 cm.

So, the surface area of the lateral surface of the cylinder is given by:

Lateral Surface Area = 2πrh

= 2π(5/π)(10)

= 100 cm²

The surface area of each end of the cylinder (i.e., top and bottom) is equal to πr². So, the total surface area of both ends is:

Total End Surface Area = 2πr²

= 2π(5/π)²

= 50/π cm²

Therefore, the total surface area of the cylinder is:

Total Surface Area = Lateral Surface Area + Total End Surface Area

= 100 + (50/π)

≈ 116.28 cm² (rounded to two decimal places)

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The value of the error for Z, where x = 5.9 +/- 0.5 and y = 2.1 +/- 0.2, with one decimal place is 4.

To calculate the error in Z, we need to consider the uncertainties in both x and y. The error in Z can be determined by propagating the uncertainties using the formula for error propagation.

In this case, Z is given by the equation Z = x/y. To propagate the uncertainties, we use the formula for relative error:

ΔZ/Z = sqrt((Δx/x)^2 + (Δy/y)^2)

Given the uncertainties Δx = 0.5 and Δy = 0.2, and the values x = 5.9 and y = 2.1, we substitute these values into the formula:

ΔZ/Z = sqrt((0.5/5.9)^2 + (0.2/2.1)^2) = sqrt(0.0089 + 0.0181) ≈ 0.134

Multiplying this value by 100 to convert it to a percentage, we get approximately 13.4%. Rounding to one decimal place, the value of the error is 4.

Therefore, the value of the error for Z, with one decimal place, is 4.

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Answer:

x = -5

Step-by-step explanation:

4 – 2(x + 7) = 3(x + 5)

Distribute

4 - 2x-14 = 3x+15

Combine like terms

-2x-10 = 3x+15

Add 2x to each side

-2x-10 +2x= 3x+15+2x

-10 = 5x+15

Subtract 15 from each side

-10-15 = 5x+15-15

-25 = 5x

Divide by 5

-25/5 = 5x/5

-5 =x

Answer:

x = -5

Step-by-step explanation:

4 - 2(x + 7) = 3(x + 5)

so, let's do the multiplications. remember, when two terms are multiplied, then everything of the left is multiplied with everything on the right. and a "-" flips signs.

2(x + 7) = 2x + 14

3(x + 5) = 3x + 15

so, in total

4 - 2x - 14 = 3x + 15

now, we add combinable things together, and we can also move things from one side of the equation to the other (by adding our subtracting the same thing on both sides, so that the value of the expression remains unchanged).

-2x - 10 = 3x + 15

-25 = 5x

and now, what applied to adding and subtracting also aims to multiplication and division. again, it is important to do the same thing to both sides.

-5 = x

By using the tangent property of a circle, it has been proved that  ABC is isosceles

<BAY = 72°

< ABC = 54°

What is a circle's tangent?

First, it's crucial to understand circles.

Every point on a circle keeps a set distance from the center point in a two-dimensional, rounded form known as a circle. The circle's radius is the fixed separation.

The tangent to a circle is the straight line that intersects the circle at any point.

Then Now

<ACB = <BAY = 72° ( angles in alternate segments)

<ABC + <ACB + < CAB = 180° { being sum of angles of triangle }

54° + 72° + <CAB = 180°

<CAB = 180° - 126°

<CAB = 54°

Hence

ABC is an isosceles triangle

(being <CAB = <ABC)

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Answer:

The answer is 60

Step-by-step explanation:

2x5x6

rearrange by the commutative property

(2x5)x6

Calculate

10x6

calculate the product or quotient to 60

hence the answer is 60

Hoped this helped:D

Alison has five different hats, six different bracelets, and seven cats. She wants to take a selfie with a hat, a bracelet, and two cats. So she can take 630 different selfies.

         She wants to take selfies with what she has, and the question asks how many different selfies can she take.

    Let's solve the question below:

         The total number of selfies Alison can take is 5 × 6 × ( ₇C₂ )

          As Alison wants to take a selfie with a hat, a bracelet, and two cats, there are 5 hats and 6 bracelets she can select from, and she needs to select 2 cats out of 7 available cats.

          We can use the combination formula to calculate the total number of ways:

            ₇C₂ = \((7 * 6)/2\)

                   = 21

  Hence, Alison can take \(5 * 6 * 21\) = 630 different selfies with a hat, a bracelet, and two cats.

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The equation of the line passing through  (-4,-6), (5,-6) will be y = -6

In the given question, it is stated that the line passes through points  (-4,-6), and (5,-6). We need to find out an equation of the line that satisfies the given condition.

Firstly, we will need to find out the slope of the line. We can find the slope by using the point-slope form which is represented by:

=> \(m = \frac{y_{2}-y_{1} }{x_{2} - x_{1} }\)

Putting values (x₁, y₁) =  (-4,-6) and (x₂, y₂) = (5,-6) we get:

=> \(m = \frac{-6+ 6 }{5+ 4 }\)

=> m = 0

We get slope m = 0. Now, putting the value of slope into the point-slope form and taking (x₁, y₁) =  (-4,-6), we get values:

=> y - y₁ = m(x - x₁)

=> y + 6 = 0(x + 4)

=> y = -6

Hence, we get the equation of line y = -6

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Using it's concept, it is found that the probability of an odd number other than seven being generated is of 40.0%.

A probability is given by the number of desired outcomes divided by the number of total outcomes.

For an experimental probability, these number of outcomes are taken from previous trials.

In this problem, 200 numbers have been generated, and 80 are odd numbers that are not seven, hence the probability is given by:

p = 80/200 = 0.4 = 40%.

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Answer:

40

Step-by-step explanation:

Answer:

= -3

Step-by-step explanation:

Answer:

x = -3

Step-by-step explanation:

Answer:

The chance of the committee being all boys is 28.57% or 29%

Answer:

what is it ?

Step-by-step explanation:

Answer: its 3 the answer is 3

Step-by-step explanation:

Answer:

30 cm is the perimeter.

Step-by-step explanation:

To find the perimeter of this figure, add up all the lengths of the sides:

6 cm

4 cm

9.5 cm

4 cm

6.5 cm

-----------

30 cm is the perimeter.

Answer:

The perimeter will be 30 cm

Step-by-step explanation:

The perimeter is the distance around the composite figure.

The perimeter= 9.5+6.5+4+4+6=30 cm

perimeter=30

Answer:

Step-by-step explanation:

A triangle is 180°

One angle is a right angle = 90°

And one is an acute angle of 27°

So 90+27= 117

You subtract 180 with 117 to get the answer of

X= 63°

An interval variable is one that has numerical values and still makes sense when you average the data values. This type of variable is used in statistics and data analysis to measure continuous data, such as temperature, time, or weight.

Interval variables are based on a scale that has equal distances between each value, meaning that the difference between any two values is consistent throughout the scale.

Interval variables can be used to create meaningful averages or means. The arithmetic mean is a common method used to calculate the average of interval variables. For example, if a researcher is studying the temperature of a city over a month, they can use interval variables to represent the temperature readings. By averaging the temperature readings, the researcher can calculate the mean temperature for the month.

In summary, interval variables are essential in statistics and data analysis because they can be used to measure continuous data and create meaningful averages. They are based on a scale with equal distances between each value and are commonly used in research studies.

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Answer:

\(area = \pi {r}^{2} \\ = \frac{22}{7} \times {( \frac{8}{2} )}^{2} \\ = 50.3 \: {km}^{2} \)

nine times x is 36 (9x = 36) can be written as an equation

An equation is a mathematical statement with an 'equal to' symbol between two expressions that have equal values e.g 2x = 5, 3+1 = 4, etc.

seven is less than a plus two:

7 < a+2

This is not an equation because there is no 'equal to' symbol between two expressions. This is called an inequality.

six times 1.3 minus n:

6 x 1.3 - n

This is not an equation

nine times x is 36:

9 × x  = 36

9x = 36

This is an equation

twice the product of three and p:

2 × (3 × p)

This is not an equation

Therefore, nine times x is 36 (9x = 36) can be written as an equation. The 3rd option is the answer

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The perimeter of the polygon is 51.8, the correct option is A.

We are given that;

One side of triangle=18.9

Other side=15.9

Now,

Its the sum of length of the sides used to made the given figure. A regular figure with n-sides has n equal sides in it, and they are the only parts of it(that means, nothing more than those equal lengthened n sides).

x+10=18.9

x=18.9-10

x=8.9

y=x (tangent from same point)

y=8.9

15.9-8.9=7

Perimeter= 10+x+y+7+7+10

Substituting the values

=10+8.9+8.9+7+7+10

=20+17.8+14

=51.8

Therefore, by perimeter the answer will be 51.8.

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The point Q = (-12, 1, 24) is a point at which the vector field F and the line l are perpendicular, and the equation for the set of all points at which f and l are perpendicular is 6x₁ + 3y₁ + 4z₁ = 0.

To find a point at which the vector field F and the line l are perpendicular, we need to find the point at which the dot product of the vector F and the direction vector of the line l is zero.

The direction vector of the line l is given by:

d = (1, 1, 4)

The vector F at the point (x₁, y₁, z₁) is given by:

F(x₁, y₁, z₁) = x₁ i + (x₁ + y₁) j + (x₁ - y₁ + z₁) k

The dot product of F and d is:

F(x₁, y₁, z₁) ⋅ d = x₁ + (x₁ + y₁) + 4(x₁ - y₁ + z₁)

Setting this equal to zero, we have:

x₁ + (x₁ + y₁) + 4(x₁ - y₁ + z₁) = 0

Expanding, we get:

6x₁ + 3y₁ + 4z₁ = 0

We can substitute x₁ = 3 - 5t, y₁ = t - 4, and z₁ = 4 + 4t into this equation to find t:

6(3 - 5t) + 3(t - 4) + 4(4 + 4t) = 0

Expanding, we get:

72 - 30t + 3t - 12 + 16 + 16t = 0

Simplifying, we get:

100 = 20t

So, t = 5.

Substituting t = 5 back into x₁ = 3 - 5t, y₁ = t - 4, and z₁ = 4 + 4t, we get:

x₁ = 3 - 5 * 5 = -12

y₁ = 5 - 4 = 1

z₁ = 4 + 4 * 5 = 24

The point Q = (-12, 1, 24) is a point at which the vector field F and the line l are perpendicular.

The set of all points at which F and l are perpendicular is given by the equation:

6x₁ + 3y₁ + 4z₁ = 0

This represents a plane in 3-dimensional space, perpendicular to the vector F at all points.

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--The given question is incomplete; the complete question is

"Let F = (x)i + (x+y)j + (x-y+z)k. Let the line l be x = 3 - 5t, y = t - 4, z = 4 + 4t.                                 Find a point Q= (x₁, y₁, z₁) at which F and l are perpendicular. Give an equation for the set of all points at which F and I are perpendicular."--

Answer:

3

Step-by-step explanation:

Subtract the two points on the graph, i did (2,-6) and (4,0), you then get 6/2, simplify that and you get 3

Answer:

6.07/212

Step-by-step explanation:

Answer:

90 inches tall

Step-by-step explanation:

1 foot is 12 inches so the equation to get to inches is x*12.    So 7*12=84

But then there is a half of a foot. Meaning 6 inches. So, 84+6

84+6=90

The doorway is 90 inches tall

Answer:

The correct answer is D. 3x² - x + 3

Step-by-step explanation:

4x² - x + 6 - (x² + 3)

= 4x² - x² - x + 6 - 3

= 3x² - x + 3

Answer:

The length is from -5 to +7, so the length answer is 12, The midpoint would be that divided by 2, so six.

Step-by-step explanation:

Answer:

Length = 12

Midpoint = 1

Step-by-step explanation:

to find the length u cancount from left to right of the segment and u can see that it is 12 units long. To find the mid point just take half of the the length, which is 6, and count that many units from either side of the segment. you'll stop at 1 do that is the mid point of the graph.