A triangular bandana has an area of 22 square inches. The height of the triangle is 5 and 1/2 inches. Enter and solve an equation to find the length of the base of the triangle. Use b to represent the length of the base.

An equation to find the length of the base of the triangle is 22 =____.

The length of the base of the triangle is
_____ inches

Answers

Answer 1
Answer: The area of an is 1/2 base times height. So take 22 and divide it by 5 1/2, and your answer will be 4. So b=4.

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The ratio of dolphins to whales sighted on a boat tour was 8 to 2. If there were 22 whales sighted, how many dolphins were sighted? Complete the ratio table to find the number of dolphins.

there are 52 weeks in 1 year. In the space at the right, make a table and write a function rule relating the number of weeks to the number of years for 1,2,3, and n years. Then find Hana's age in weeks if she is 11 years old.

Answers

Given:
52 weeks in a year
Hana's age: 11 years

Find her age in weeks.

f(x) = 52x ; where x is the number of years.

f(11) = 52(11)
f(11) = 572 weeks

Hana is 572 weeks old.

Answer:

1o

Step-by-step explanation:

How do you put 5/2 on a number line

Answers

Convert 5/2 to a mixed number first:  

Divide 5 by 2; 2 will go into five 2 times with a remainder of 1.  This means the whole number portion of the mixed number is 2, and the remainder of the fraction is 1; this gives us 2 1/2.

To plot 2 1/2, plot a point halfway between 2 and 3.

By following steps given, you can successfully placed the fraction 5/2 on the number line.

To put the fraction 5/2 on a number line, you can follow these steps:

1) Draw a straight line horizontally on a piece of paper or use a number line chart if available. Make sure the line is long enough to accommodate the desired range.

2) Determine the range you want to represent on the number line. Let's say you want to represent the numbers from 0 to 3.

3) Divide the line into equal segments to match the range you determined.

For example, you can divide the line into four equal segments representing the numbers 0, 1, 2, and 3.

4) Locate the whole number part of the fraction, which is 2 in this case. Place a point or tick mark above the number 2 on the number line.

5) Divide the segment between the whole numbers into equal parts. Since the fraction is 5/2, you need to divide the segment between 2 and 3 into two equal parts.

6) Starting from the point above the number 2, count two equal segments to the right.

Place a tick mark or point at the end of the second segment.

7) Label this point with the fraction 5/2.

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70 POINTS! ∆ABC is reflected across the x-axis, then rotated 90° clockwise about the origin, and finally reflected across the line y = x to form ∆A′B′C′.The coordinates of vertex A′ are ____.
The coordinates of vertex B′ are ____ .
The coordinates of vertex C′ are ____.

Answers

Answer:

A'(1, 1); B'(3, 2); C'(1, 2)

Step-by-step explanation:

The original points are A(1,1 ), B(2, 3) and C(2, 1).

Reflecting the triangle across the x-axis will negate every y-coordinate; this maps

(1, 1)→(1, -1); (2, 3)→(2, -3); (2, 1)→(2, -1)

Rotating the figure 90° clockwise about the origin switches the x- and y-coordinates and negates the x-coordinate; this maps

(1, -1)→(-1 -1); (2, -3)→(-3, -2); (2, -1)→(-1, -2)

Reflecting across the line y=x will negate both the x- and y-coordinates; this maps

(-1, -1)→(1, 1); (-3, -2)→(3, 2); (-1, -2)→(1, 2)

Final answer:

To find the coordinates of ∆ABC after reflection across the x-axis, rotation by 90°, and reflection across y = x, we would apply these transformations to each point. Initially reflected across x-axis results in (x, -y), the 90° rotation gives (-y, x), and final reflection over y = x gives (x, -y). To find A′B′C′ we would need original coordinates, but general rule follows this pattern.

Explanation:

In this mathematics problem, we will find the coordinates for vertex A′, B′, and C′ of ∆A′B′C′. Given a triangle ∆ABC reflected across the x-axis, then rotated 90° clockwise about the origin, and finally reflected across the line y = x, we need the original coordinates of A, B, and C to find A′B′C′. However, if we take a generic point (x, y), we can assume the following:

  1. The reflection about the x-axis would turn it into (x, -y).
  2. The 90° clockwise rotation about the origin would give the new coordinates (-y, x).
  3. Finally, the reflection over the line y = x would change (-y, x) to (x, -y).

Assuming these transformations, we can find the final coordinates for A′, B′, and C′.

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10 larger than y
In algebraic expression would I have an + sign or??

Answers

It would have a plus sign.

Which is the better loan

Answers

Answer:

loan 2 on the first one and loan 1 on the second one

Answer:

loan 2 for number 3

and

loan 1 for number 4

if you look at the interest, time it takes to pay it off, and how much you'd have to pay each month you normally can tell which one is the better deal. :)

To fence a rectangular farm of 750 m^2, 110 m of fence has been used. Calculate the dimensions of the farm

Answers

Answer:

The dimension of the farm are 35 by 25 meters

Area of farm = 750 sq. m  

110 meters will be the perimeter  

let one side be x  

the other side will be 110-2x /2  

Area = L * W  

x((110-2x /2)=750  

x(110-2x /2 ) =750  

110x-2x^2/ 2 =750  

110x-2x^2= 1500  

2x^2-110x+1500=0  

x^2-55x+750=0  

x^2-30x-25x+750=0  

x(x-30)-25(x-30)=0  

(x-30)(X-25)=0  

x= 30 OR 25

I really hope this helps you and sorry for the late response :)

Final answer:

To find the dimensions of the rectangular farm, you'd set up two equations based on the given area and perimeter, and solve them to find the values of the length and width.

Explanation:

To solve this problem, you need to use the concept of area and perimeter in mathematics. The area of a rectangle is given by the product of its length and width, and the perimeter is the sum of the lengths of all sides.

Given that the area of the farm is 750 m² and the total fencing used is 110 m, you can formulate 2 equations. If we let the width be w, and the length be l, we have:

  • The area, which is width times length (w * l) is 750.
  • The perimeter, which is 2 times the sum of length and width (2*(w +l)) is 110m. Hence w + l = 55.

We can solve these equations to find the values of w and l. From that, we'll get the dimensions of the rectangular farm.

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