can you help me with my homework Round the following numbers to 1 significant figure: a) 276040​

Answer: the train got a head start

Step-by-step explanation:

the train got a head start

3cm is the length of the third side.

Given that an obtuse triangle with area 12 has two sides of lengths 4 and 10.

To find the length of the third side, we can use the formula for the area of a triangle; Area of a triangle = 1/2 × base × height, where base and height are perpendicular to each other.

Considering 4 and 10 as the base and height of the triangle respectively, the area of the triangle will be;

Area of the triangle = 1/2 × 4 × 10Area of the triangle

= 20 cm²

But given that the area of the triangle is 12 cm².

Thus, 20 cm² = 1/2 × 4 × 10 ⇒ length of the third side = 3 cm

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Given:-

[tex] \: [/tex]

Solution:-

[tex] \: [/tex]

[tex] \: [/tex]

[tex] \: [/tex]

━━━━━━━━━━━━━━

hope it helps⸙

Answer:

x = 65° , y = 115° , z = 65°

Step-by-step explanation:

consecutive angles in a parallelogram are supplementary , then

x + 115° = 180° ( subtract 115° from both sides )

x = 65°

opposite angles in a parallelogram are congruent , then

y = 115° and z = x = 65°

Answer:

See below!

Step-by-step explanation:

So,

So,

y + x = 180°

115 + x = 180

x = 180 - 115

Again,

z = x (Opposite angles)

So,

[tex]\rule[225]{225}{2}[/tex]

Answer:

To find the volume of a prism, you need to multiply the area of the base by the height of the prism. Here are the steps:

Identify the shape of the base of the prism. It could be a rectangle, square, triangle, hexagon, or any other polygon.

Find the area of the base of the prism. The formula for finding the area of different shapes are:

Rectangle: A = length x width

Square: A = side x side

Triangle: A = (base x height) / 2

Hexagon: A = (3 x √3 x side²) / 2 (where side is the length of one of the sides of the hexagon)

Determine the height of the prism. This is the perpendicular distance between the two parallel bases.

Multiply the area of the base by the height of the prism. The formula is:

Volume = Area of Base x Height

For example, if the base of the prism is a rectangle with length 4 cm and width 5 cm, and the height of the prism is 10 cm, the volume of the prism would be:

Volume = 4 cm x 5 cm x 10 cm

= 200 cubic cm

Therefore, the volume of the prism is 200 cubic cm.

Step-by-step explanation:

Without seeing the graph, it's difficult to determine the exact solution to the system of equations. However, the point of intersection between the two lines represents a solution that satisfies both equations. To find the x-coordinate of this point, you can use algebraic methods, such as substitution or elimination, to solve for the value of x.

The correct option is (c). A graphical method of representing the sample points of an experiment is a dot plot.

Dot plot is a graphical method of representing the sample points of an experiment. In a dot plot, each point represents an observation in the sample, and the points are placed on a number line.

A stem-and-leaf display is another graphical method of representing the sample points of an experiment. In a stem-and-leaf display, the digits in the observation are separated into two parts, with one part representing the "stem" and the other representing the "leaf."

A bar chart is a graphical method of representing data that uses bars to represent different categories or values.

A tree diagram is a graphical method of representing a series of events or outcomes.

Therefore, option (c) dot plot is the graphical method of representing the sample points of an experiment.

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The simplified algebraic expression for the perimeter of the yard is 28m+10x, and if x=3m, then the perimeter is 58m.

The simplified algebraic expression for the perimeter of the yard is 28m+10x, and if x=3m, then the perimeter is 58m.

In the given figure, the yard is in the shape of a rectangle with dimensions (4x - 6) m and (2x + 3) m. The perimeter of a rectangle is the sum of the lengths of all four sides, which can be expressed as:

Perimeter = 2(Length + Width)

Perimeter = 2(4x - 6 + 2x + 3) m

Perimeter = 2(6x - 3) m

Perimeter = 12x - 6 m

So, a simplified algebraic expression for the perimeter of the yard is 12x - 6 m.

To find the perimeter in meters when x = 3 m, substitute x = 3 into the algebraic expression for perimeter:

Perimeter = 12(3) - 6 m

Perimeter = 30 m

Therefore, the perimeter of the yard when x = 3 m is 30 meters.

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Answer:

Step-by-step explanation:

E(lh girls) [tex]=0.2\times 320=64[/tex]

E(lh boys) [tex]=0.1 \times 250 =25[/tex]

Estimated total left handed students [tex]=64+25=89[/tex]

Answer:

Range = Highest number -Lowest number

= 13-2=11

Answer:

11

Step-by-step explanation:

Highest number = 13

Lowest number = 2

Range = highest number - lowest number

Range = 13 - 2 = 11

So, the correct option is: The median is the best measure of center because there are outliers present.

A line plot is a type of graph that is used to display data along a number line. In a line plot, each data point is represented by a dot or mark placed above the corresponding value on the number line. Line plots are commonly used to represent small to moderate-sized data sets, especially those with discrete values or categories. The line plot typically consists of a horizontal line, called the axis, representing the numerical values of the data, with marks or dots above the line indicating the frequency or count of each value in the data set. Each mark or dot is placed directly above the value on the number line that it represents.

Here,

Since the data in the graph is skewed to the right, there are outliers present. Outliers are data points that are significantly different from the other values in the data set. Therefore, the median is the most appropriate measure of center to represent the data in the graph because it is less affected by outliers compared to the mean.

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Answer: A - (-5, 43)

Step-by-step explanation:

the rate of change of the distance between the car and Hartville is:

dd/dt = (111*48)/sqrt(48477) ≈ 25.63 mph

We can use the Pythagorean theorem to determine the distance between the car and Hartville at any time. Let's call this distance "d".

At the start of the trip, d = [tex]\sqrt{(186^2 + 0^2) }[/tex]= 186 miles.

After traveling 111 miles due east, the car will have traveled for t = 111/48 = 2.3125 hours. During this time, the car will have moved north by a distance of 2.3125 * 0 = 0 miles, and east by a distance of 2.3125 * 48 = 111 miles.

Now, we can use the chain rule to find the rate of change of d with respect to time:

[tex]d^2 = x^2 + y^2[/tex]

Differentiating both sides with respect to time, we get:

2d(dd/dt) = 2x(dx/dt) + 2y(dy/dt)

where x and y are the east and north distances traveled by the car, respectively.

Since the car is traveling due east, dy/dt = 0. Also, at the instant when the car is 111 miles east of Hartville, x = 111 and y = 186.

Substituting these values, we get:

2d(dd/dt) = 2111(48) + 2186(0)

Simplifying:

dd/dt = (111*48)/d

At the instant when the car is 111 miles east of Hartville, we have:

d = [tex]\sqrt{(48477)}[/tex]

So the rate of change of the distance between the car and Hartville is:

dd/dt = (111*48)/[tex]\sqrt(48477)[/tex] ≈ 25.63 mph

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Answer:

[tex]744x100=7,440[/tex]

Step-by-step example

all to do this is to 744x10

and it would help if you got this simple answer I hope this helps:D

Using trigonometry, we can determine that the length of the support wire is approximately 91.7 meters, by using the tangent function of the angle and solving for the hypotenuse of the right triangle formed by the tower, the support wire, and the ground.

Lori will receive a semiannual interest of $950 from the bond with a face value of $20,000 and a coupon rate of 9.5%, which will mature in 20 years.

To calculate the semiannual interest that Lori will receive from the bond, we need to use the following formula:

Semiannual interest = (Coupon rate x Face value) / 2

Substituting the given values, we get:

Semiannual interest = (9.5% x $20,000) / 2

Semiannual interest = ($1,900) / 2

Semiannual interest = $950

Therefore, Lori will receive a semiannual interest of $950 from the bond. This means that she will receive a total of $1,900 in interest every year until the bond matures in 20 years.

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fv(40,20) ≈ (f(40.1,20) - f(40,20))/0.1 , ft(40,20) ≈ (f(40,20.05) - f(40,20))/0.05 are the required functional estimations of a given representations.

However, we can estimate the partial derivatives with respect to x (fv) and y (ft) at the point (40,20) using the definition of partial derivatives:

fv = ∂f/∂x ≈ (f(40+h,20) - f(40,20))/h

where h is a small increment in the x direction. Similarly,

ft = ∂f/∂y ≈ (f(40,20+k) - f(40,20))/k

where k is a small increment in the y direction.

To estimate fv(40,20) and ft(40,20), we need to choose small values of h and k and evaluate the function at the corresponding points. Let's say h = 0.1 and k = 0.05:

fv(40,20) ≈ (f(40.1,20) - f(40,20))/0.1

ft(40,20) ≈ (f(40,20.05) - f(40,20))/0.05

We can then use these estimates to approximate the value of f(40.1,20.05) using the first-order Taylor approximation:

f(40.1,20.05) ≈ f(40,20) + fv(40,20)0.1 + ft(40,20)0.05

Note that this is an approximation and may not be very accurate if the function is highly nonlinear or has discontinuities. However, it can give us a rough idea of the value of f(40,20) and how it changes with small variations in x and y.

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Answer:

x ≤ 55/7

Step-by-step explanation:

7x - 5 ≤ 50

7x ≤ 55

x ≤ 55/7