Choose the correct translation for the following statement it is at most ten

The length of DF is equal to 25 units. Then the correct option is D.

Triangle is a shape made of three sides in a two-dimensional plane. the sum of the three angles is 180 degrees.

The two triangles ABC and DEF are congruent to each other and all the sides of one triangle will be the same as all the sides of the other triangle. The value of DF is equal to AC. AC is 25 so DF is equal to 25.

Hence, option D is correct.

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Answer:

–1 yard per play

Step-by-step explanation:

To find the average, add together all of the outcomes and divide by the number of plays, 6:

(-3+2+-1+-2+-3+1)/6 = -6/6 = -1

Answer: -1 yard per play

Step-by-step explanation:

The average of a data set is given by :-

[tex]\text{Average}=\frac{\text{Sum of all data values}}{\text{Total number of values}}[/tex]

Given: The total number of plays =6

Sum of the change in field position resulting from each play is given by :-

[tex]\text{Sum}=-3+2+(-1)+(-2)+(-3)+1=-3+2-1-2-3+1=-6[/tex]

Now, the average change in field position per running play is given by :-

[tex]\text{Average}=\frac{\text{Sum}}{\text{Total plays}}\\\\=\frac{-6}{6}=-1[/tex]

Hence, the average change in field position per running play is -1 yard per play.

Aubrey can run 9 miles in 90 minutes at her pace of 6 miles per hour.

To find how many miles Aubrey can run in 90 minutes, we can use the formula:

[tex]\[ \text{Distance} = \text{Speed} \times \text{Time} \][/tex]

Given that Aubrey can run at a pace of 6 miles per hour and there are 90 minutes in 1.5 hours:

[tex]\[ \text{Distance} = 6 \, \text{miles/hour} \times 1.5 \, \text{hours} \]\[ \text{Distance} = 9 \, \text{miles} \][/tex]

Therefore, Aubrey can run 9 miles in 90 minutes at her pace.

China's population is 2.4 x 10^4 times larger than Marshall Islands's population.

The number is written in the form  [tex]a \times 10^b[/tex] where we have   [tex]1 \leq a < 10[/tex]. The number b shows the order, which is the most important figure for which scientific notation is used. It tells us how much order large or small a value is in powers of 10. Scientific notations have some of the profits as; Better readability due to compact representation. Its value in terms of power of 10 is known, which helps in easy comparison of quantities differing by a large value.

We have given that

China's population = 1.446 × [tex]10^9[/tex]. Marshall Islands's population is 6.025× [tex]10^4[/tex]).

Then ;

(1.446 × [tex]10^9[/tex]) ÷ (6.025 × [tex]10^4[/tex])

= 0.24 x 10 power of 5

= 2.4 x [tex]10^4[/tex]

Therefore, China's population is 2.4 x 10^4 times larger than Marshall Islands's population.

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Final answer:

To solve V =[tex](1/3)\pi r^2h[/tex] for r, multiply both sides by 3, then divide by πh, and finally take the square root of both sides to get r = √(3V / (πh)).

Explanation:

The student has asked to solve the equation V = [tex](1/3)\pi r^2h[/tex] for r, where V is the volume of a cylinder, r is the radius, and h is the height. To do this, we will isolate r on one side of the equation:

Multiply both sides of the equation by 3 to get rid of the fraction: 3V = [tex]\pi r^2h[/tex].

Divide both sides of the equation by πh to solve for [tex]r^2[/tex]: [tex]r^{2}[/tex] = 3V / (πh).

Take the square root of both sides to solve for r: r = √(3V / (πh)).

This gives us the formula for r in terms of V and h.

Answer:The real answer is actually {-6,-4}

Step-by-step explanation: There's the answer hope that helps

The value of x and y are 0.5 and 4 respectively.

2x+3y=13 ..... i

4x-y=-2 ...... ii

Multiply equation i by 4

Multiply equation ii by 2

8x + 12y = 52 ..... iii

8x - 2y = -4 ...... iv

Subtract iv from iii

14y = 56

Divide both side by 14

14y/14 = 56/14

y = 4

Since 4x-y=-2

4x - 4 = -2

4x = -2 + 4.

4x = 2

x = 2/4 = 0.5

Therefore, x = 0.5 and y = 4

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The average value of f(x) = 9 sin²(x) cos³(x) over the interval [-π, π] is 0.

Integrate and Divide: To find the average value of a function f(x) over an interval [a, b], we calculate the definite integral of f(x) over the interval and divide by the interval's width:

Average value = (1/(b-a)) * ∫a^b f(x) dx

In this case, a = -π and b = π, so b - a = 2π.

Integrate f(x): Unfortunately, integrating f(x) = 9 sin²(x) cos³(x) directly is quite complex. However, we can use the trigonometric identity sin²x = (1 - cos²x) to rewrite the function:

f(x) = 9 sin²(x) cos³(x) = 9 (1 - cos²x) cos³(x)

Integrating this form of f(x) is more manageable, although it still involves integration by parts due to the product of three terms.

Zero Integral: After integrating and simplifying, the definite integral of f(x) over [-π, π] evaluates to 0.

Average Value: Dividing the integral by the interval's width (2π) confirms the average value of f(x) on [-π, π] is 0:

Average value = (1/2π) * 0 = 0

Therefore, the average value of f(x) = 9 sin²(x) cos³(x) on the interval [-π, π] is 0, despite the function's non-zero values within the interval.

The problem is solved by forming and solving algebraic equations derived from the provided information. After manipulating the equations, we find that 375 adult tickets were sold.

This problem can be solved using algebraic equations. Let's denote the number of adult tickets sold as x and the number of student tickets as y. From the problem, we know two things:

Now we can substitute the second equation into the first to get rid of y:

x + (x - 68) = 682.

This simplifies to 2x - 68 = 682. Adding 68 to both sides gives 2x = 750. Dividing both sides by 2 results in x = 375. This means that 375 adult tickets were sold.

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Answer:

the slope of the function is -6

Step-by-step explanation:

Hello

You could  use the slope formula to find the slope of this linear function.  

just two points are needed,let´s take these ones

p1(-1,2)  and p2(0,-4)

[tex]s=\frac{y2-y1}{x2-x1} \\s=\frac{-4-2}{0-(-1)} \\s=\frac{-6}{1} \\s=-6[/tex]

so, we have that the slope of the line is -6

I hope it helps you

Have a fantastic day

The slope of the line is -6, the first option.

What is the slope?

If a line has two points (x₁, y₁) and (x₂, y₂), then the slope of the line is given by:

a = (y₂ - y₁)/(x₂ - x₁)

Here we can use the first two points (-2, 8), (-1, 2) to get:

a = (2 - 8)/(-1 + 2) = -6

The correct option is the first one.

-7

6

taking teeeeesststt not sure id corryect

replace n with 1, 4 and 10 and solve the equations:

 answers would be D. –6, 12, 48

-6+(1-1)*6 = -6

-6+(4-1)*6 = 12

-6+(10-1)*6 = 48