Find the area of a trapezoid with height hand bases b₁ and b₂. h = 22 cm b₁ = 10.5 cm b₂ = 12.5 cm​

Answer:

answer: 5

Step-by-step explanation:

this is simple soo yea

you divided 150 and 30 and it will give you 5

Answer:The LCM of 15 and 20 is 60.

Step-by-step explanation: I used the internet/gggle

Answer:

3.999 millimeters.

Step-by-step explanation:

To find the height of the cylinder, we can use the formula for the volume of a cylinder:

V = πr²h

Given that the radius (r) of the cylinder is 4 millimeters and the volume (V) is 200.96 cubic millimeters, we can substitute these values into the formula and solve for the height (h).

200.96 = π(4²)h

200.96 = 16πh

To solve for h, we can divide both sides of the equation by 16π:

200.96 / (16π) = h

Using a calculator, we can calculate the approximate value of h:

h ≈ 200.96 / (16 × 3.14159)

h ≈ 3.999

Therefore, the height of the cylinder is approximately 3.999 millimeters.

Answer: \(x=\frac{3}{5}+i\frac{4}{5},\:x=\frac{3}{5}-i\frac{4}{5}\)

Step-by-step explanation:

\(25x^2-30x+25=0\)

\(x_{1,\:2}=\frac{-\left(-30\right)\pm \sqrt{\left(-30\right)^2-4\cdot \:25\cdot \:25}}{2\cdot \:25}\)

\(\sqrt{\left(-30\right)^2-4\cdot \:25\cdot \:25}\)

\(=\sqrt{30^2-4\cdot \:25\cdot \:25}\)

\(=\sqrt{30^2-2500}\)

\(=i\sqrt{2500-30^2}\)

\(=40i\)

\(x_{1,\:2}=\frac{-\left(-30\right)\pm \:40i}{2\cdot \:25}\)

\(x_1=\frac{-\left(-30\right)+40i}{2\cdot \:25},\:x_2=\frac{-\left(-30\right)-40i}{2\cdot \:25}\)

\(x=\frac{3}{5}+i\frac{4}{5},\:x=\frac{3}{5}-i\frac{4}{5}\)

Answer:

43 x 43  units      1849 units^2

Step-by-step explanation:

The largest area will be a square (equla sides)

   172 / 4 = 43

a square IS a rectangle

43  x   43

The statements that are true about the graph of y < 2x+1 include the following:

C. The area below the line is shaded.

D. A solution to the inequality is (2, 3).

In Mathematics and Geometry, an inequality simply refers to a mathematical relation that is typically used for comparing two (2) or more numerical data and variables in an algebraic equation based on any of the inequality symbols;

Based on the information provided, we have the following equation (inequality);

y < 2x + 1

The slope of the above equation (inequality) is 2 and the y-intercept of the boundary line is (1, 0). Additionally, the area below the dashed line must be shaded because the inequality symbol is less than (<).

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Answer:

AC=CE

<ACB=<ECD VERTICALLY opposite ANGLE

BC=CD

Step-by-step explanation:

TRAINgle is congruent by SAS axiom.

So, each farmer pays the following amounts: The first farmer pays 738.40 euros. The second farmer pays 443.04 euros. The third farmer pays 418.56 euros

Proportion refers to the equality of two ratios. In other words, when two ratios are set equal to each other, they form a proportion. A proportion is typically written in the form of two fractions separated by an equals sign, such as a/b = c/d. Proportions are commonly used in mathematics to solve problems involving ratios and proportions, such as finding missing values or scaling up or down a given quantity.

Here,

To find out how much each farmer pays, we need to determine the proportion of the total rent that each farmer owes based on the number of sheep they have. First, we need to find the total number of sheep:

120 + 72 + 68 = 260

The first farmer has 120 sheep, which is 46.15% of the total number of sheep (120/260). Therefore, the first farmer owes 46.15% of the rent:

0.4615 x 1600 = 738.40 euros

Similarly, the second farmer has 72 sheep, which is 27.69% of the total number of sheep (72/260). Therefore, the second farmer owes 27.69% of the rent:

0.2769 x 1600 = 443.04 euros

The third farmer has 68 sheep, which is 26.15% of the total number of sheep (68/260). Therefore, the third farmer owes 26.15% of the rent:

0.2615 x 1600 = 418.56 euros

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Complete question:

The rent of 1600 euros for a piece of land is divided among three farmers who graze their sheep there. As they do not have the same number of sheep, they decide to pay proportionally according to the number of sheep each has. If the first one has 120 sheep, the second 72, and the third 68. How much does each one pay?

Answer:

its D

Step-by-step explanation:

The number she'd have is:

Explanation:

First, let's see which number is in the tens place and which number is in the ones place (the units place).

In the number 548, the place value of 5 is hundreds, the place value of 4 is tens, and the place value of 8 is ones (or units).

So if Sera adds two to the units, she'll have 10. But, since we can't write the number as 5410 (that would be a totally different number), we just write 0 in the units place, and shift 1 to the tens place, which gives us :

550

That's not all, since we also add 1 to the tens:

560

Answer:

2 Blocks

Step-by-step explanation:

Answer:2/3

Step-by-step explanation: 2 blocks apart so just 1/3 times 2=2/3

Answer:

60 miles in a hour

Step-by-step explanation:

360 miles divided by 6 hours = 60 miles per hour

Answer:

p=12 is the answer for the question

Answer:

5x+7 > 17 matches with 3.

1+3x > -5 matches with 2.

2x+1 < 3 matches with 1.

5-3x > 11 matches with 4.

Step-by-step explanation:

The distance between the two points is

d = √( -2-x)² + (3 -y)² OR d = √ (x+2)² + (y-3)².

Distance between two points is the length of the line segment that connects the two points in a plane.

The distance between two points is expressed as;

d = √ (X-x )² + (Y-y)²

X = -2

x = x

Y = 3

y = y

Therefore the distance between the two points is

d = √( -2-x)² + (3 -y)²

or it can also be written in this form

d = √ x-(-2)² + (y-3)²

d = √ x+2)² + (y-3)²

therefore the model of the distance between the two points can be

d = √( -2-x)² + (3 -y)² OR d = √ (x+2)² + (y-3)².

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The expression for h(x) is,

⇒  h (x) = √(x - 2) + 4

Now, Given that;

Initially the graph f (x) is shifted horizontally to the right.

When the graph shifts to right the function then becomes

f (x) → f (x-b)

Where b is the units by which it is shifted towards right .

So, in the figure we can see that it is shifted 2 units to the right .

So, f(x) → f(x-2)

Since f(x) is,

⇒ f (x) = √x

So, f (x-2) = √x - 2

Now, the new obtained graph is again shifted vertically upward

When the graphs shifts upward;

⇒ f(x) → f(x) + b

where b is the units by which it is shifted upward

So, our obtained f(x-2) when shifted upward by 4 units so using the above given transformation of upward shift

i.e. f(x) → f(x) + b

So, Our new graph h(x) = f(x-2) + 4

⇒  h (x) = √(x - 2) + 4

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A multiplication equation to show an equivalent fraction of 15 using fifteenths would gives 10/75

A fraction consisting of a quotient and remainder is a mixed fraction. we can convert the mixed fraction to improper fraction by first dividing the numerator by denominator and then taking the quotient as whole number and remainder as the numerator of proper fraction keeping the denominator same.

We have to write an equivalent fraction of 15 using fifteenths.

2/15

So let multiply by 5 .

2 / 15 x  5/ 5 = 10/75

Thus, 10/75 is equivalent expression.

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The correct answer is B. on average it takes 1.8 beers to increase blood alcohol content by 1%.

The equation implies that for each beer consumed, the blood alcohol content increases by 0.0180, meaning it takes 1.8 beers to increase the blood alcohol content by 1%.

It is important to note that different people metabolize alcohol at different rates, so the number of drinks it takes to reach a 0.08% BAC can vary significantly. Generally, it takes about 1.8 drinks to raise the BAC by 1%. This means that an average person would need to consume 15 drinks in order to reach the legal limit of 0.08%.

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Answer:

The equation of the line in slope-intercept form is:

\(\:y=-\frac{1}{6}x\:+\:4\)

Step-by-step explanation:

The slope-intercept form of the line equation

\(y = mx+b\)

where  

Given the points on the line graph  

Determining the slope between (0, 4) and (3, 3.5)

\(\mathrm{Slope}=\frac{y_2-y_1}{x_2-x_1}\)

\(m=\frac{3.5-4}{3-0}\)

\(m=\frac{\frac{7}{2}-4}{3-0}\)

\(m=-\frac{1}{6}\)

Thus, the slope of the line = m = -1/6

We know that the value of the y-intercept can be determined by setting x = 0 and determining the corresponding value of y.

From the graph, it is clear

at x = 0, y = 4

Thus, the y-intercept b = 4

now substituting b = 4 and m = -1/6 in the slope-intercept form

\(y = mx + b\)

\(\:y=-\frac{1}{6}x\:+\:4\)

Therefore, the equation of the line in slope-intercept form is:

\(\:y=-\frac{1}{6}x\:+\:4\)

Answer:

The statements that can be used to compare the characteristics of the functions are:

1. g(x) has the greatest maximum value.

2. All three functions share the same domain.

Explanation:

- The table shows the values of three functions - f(x), g(x), and h(x) - evaluated at different values of x.

- We cannot determine the domain of f(x) or h(x) from the given table but we can see that g(x) has a domain of all real numbers.

- We can see that g(x) has the highest maximum value among the three functions, which is 8.

- We cannot determine the range of f(x) or g(x) from the given table but we can see that h(x) has a range of all negative numbers.

- We cannot say anything about the domain or range of f(x) based on the given table.

- Therefore, the two statements that can be used to compare the characteristics of the functions are: g(x) has the greatest maximum value and all three functions share the same domain.

The probability of a prime number or a number greater than 3 coming up is given as follows:

5/6.

The parameters that are needed to calculate a probability are listed as follows:

Then the probability is calculated as the division of the number of desired outcomes by the number of total outcomes.

When a dice is thrown, there are six possible outcomes, ranging from 1 to 6, and the desired outcomes are given as follows:

Hence the probability is given as follows:

5/6.

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you can start by dividing the total length of the road by the distance that can be repaired per week:

13 km ÷ 3 1/2 km/week = 3.71 weeks

Rounding up, it will take 4 weeks to repair the entire 13 km stretch of road.

Answer:

A) No Association

Step-by-step explanation:

Your shoe size and your math grade have nothing whatsoever to do with each other, so the answer would be No Association.

Hope it helps!

Answer:

Step-by-step explanation:

The greatest difference possible is 0.4

The decimal 0.4 is equivalent to 410 , so 0.4 is located between 0 and 1 . On a number line, divide the interval between 0 and 1 into 10 equal parts and place marks to separate the parts.

The greatest difference possible difference of two decimals to the hundredths place that are between 0 and 1 is 0.99

For us to get the difference possible difference, we will take the difference between the highest values and the lowest values between 1 and 10

Greatest values = 0.99999999999

Possible least value = 0.0000000001

Taking the difference:

Difference = 0.99999999999 - 0.0000000001

Difference = 0.9999999998

Convert to the nearest hundredth place

0.9999999998 to the nearest hundredth is 1.00. Since the value must be between 0 and 1, the required value will be 0.99

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Answer:

A.

Step-by-step explanation:

The vertical line test is a way of finding out if a relation is a function.

Graph the relation.

Then imagine a vertical line moving from left to right over the graph of the relation.

If the vertical line intersects at most one point of the graph in any position you place the vertical line, then the relation is a function.

This function passes the vertical test since it never intersects more than one point on the vertical line at a time.

Answer: A.

Answer:

x≤9/2

Step-by-step explanation:

8x+15≤51

Subtract 15

8x+15-15≤51-15

8x+≤36

Divide by 8

8x/8≤36/8

x≤9/2

To find the equation of the tangent plane and the normal line to the surface x⁴ + y⁴ + z⁴ = 3x²y²z² at the point (1, 1, 1), we follow these steps:

Find the gradient vector of the surface at the given point:

The gradient vector of the surface is given by:

∇f(x,y,z) = < ∂f/∂x, ∂f/∂y, ∂f/∂z >,

where f(x,y,z) = x⁴ + y⁴ + z⁴ - 3x²y²z²

So, we have:

∂f/∂x = 4x³ - 6y²z²,

∂f/∂y = 4y³ - 6x²z²,

∂f/∂z = 4z³ - 6x²y²

At the point (1,1,1), we have:

∂f/∂x = 4(1)³ - 6(1)²(1)² = -2,

∂f/∂y = 4(1)³ - 6(1)²(1)² = -2,

∂f/∂z = 4(1)³ - 6(1)²(1)² = -2.

Therefore, the gradient vector at (1,1,1) is: ∇f(1,1,1) = <-2, -2, -2>

Find the equation of the tangent plane:

The equation of the tangent plane to the surface at the point (1,1,1) is given by:

f_x(1,1,1)(x - 1) + f_y(1,1,1)(y - 1) + f_z(1,1,1)(z - 1) = 0,

where f_x, f_y, and f_z are the partial derivatives of f(x,y,z) with respect to x, y, and z, evaluated at (1,1,1). Substituting the values we found in step 1, we get:

-2(x - 1) - 2(y - 1) - 2(z - 1) = 0

Simplifying, we get:

x + y + z = 3

So, the equation of the tangent plane is x + y + z - 3 = 0.

Find the equation of the normal line:

The normal vector to the tangent plane is the same as the gradient vector of the surface at the given point, i.e., ∇f(1,1,1) = <-2, -2, -2>. So, the equation of the normal line passing through the point (1,1,1) is:

x - 1 = -2t,

y - 1 = -2t,

z - 1 = -2t

or

x = -2t + 1,

y = -2t + 1,

z = -2t + 1.

Therefore, the equation of the normal line to the surface x⁴ + y⁴ + z⁴ = 3x²y²z²  at the point (1,1,1) is:

x = -2t + 1,

y = -2t + 1,

z = -2t + 1.

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Answer:

A

Step-by-step explanation:

More typical mature specimens reportedly can range up to 5 m (16.4 ft), with adult females, with a mean length of about 4.6 m (15.1 ft), being generally much larger than the males, which average around 3 m (9.8 ft).

Answer:

It is 390.5 (volume, not surface area)

Step-by-step explanation: