Answer:
side c = 150 feet of flowers
Area = 5400 feet squared
concert question:
The converse of the Pythagorean theorem can help you determine whether the roped off area is in the shape of a right triangle because you use the side lengths of each square and enter them into the equation, and if the equation is true, then it is a right triangle
Concession stand question:
The school banner can fit across the length of the concession stand
the following information is missing
The length if the sides: c is 50 feet long, b is 40 foot long, and a is 30-foot long.
The distance between the two red stars of the picture makes the hypotenuse of a right triangle, where two sides of length a (30 ft) are the legs. From Pythagorean theorem, diagonal of square A is:
diagonal² = 30² + 30²
diagonal = √1800 = 42.43 ft
which is longer than the banner.
Blueprint question:
No, diagonal of square C is 70.71ft
2nd blueprint question:
50 square root 2
Gardening group:
50.24 yards
It should be noted that, according to the information provided, the single bar chart shows the projected proportion of sales based on the proportion of facings and the observed proportion.
Simply put, a bar chart is a bar graph. Rectangular bars that match the values shown are used to illustrate categorical data.
A bar chart, often known as a bar graph, is a diagram that displays categorical data as rectangular bars with heights or lengths proportional to the values they stand for. You can plot the bars either vertically or horizontally. A vertical bar chart may also be referred to as a column chart.
The bar chart's information reveals that the observed proportions for juice, mango, orange, apple, and pineapple are greater than the expected proportions.
Learn more about bar charts on:
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<span>Simplifying
-15x2 + -2x + 8 = 0
Reorder the terms:
8 + -2x + -15x2 = 0
Solving
8 + -2x + -15x2 = 0
Solving for variable 'x'.
Factor a trinomial.
(2 + -3x)(4 + 5x) = 0
Subproblem 1Set the factor '(2 + -3x)' equal to zero and attempt to solve:
Simplifying
2 + -3x = 0
Solving
2 + -3x = 0
Move all terms containing x to the left, all other terms to the right.
Add '-2' to each side of the equation.
2 + -2 + -3x = 0 + -2
Combine like terms: 2 + -2 = 0
0 + -3x = 0 + -2
-3x = 0 + -2
Combine like terms: 0 + -2 = -2
-3x = -2
Divide each side by '-3'.
x = 0.6666666667
Simplifying
x = 0.6666666667
Subproblem 2
Set the factor '(4 + 5x)' equal to zero and attempt to solve:
Simplifying
4 + 5x = 0
Solving
4 + 5x = 0
Move all terms containing x to the left, all other terms to the right.
Add '-4' to each side of the equation.
4 + -4 + 5x = 0 + -4
Combine like terms: 4 + -4 = 0
0 + 5x = 0 + -4
5x = 0 + -4
Combine like terms: 0 + -4 = -4
5x = -4
Divide each side by '5'.
x = -0.8
Simplifying
x = -0.8
Solutionx = {0.6666666667, -0.8}</span>
It is usual to represent ratios in their simplest form so that we are not operating with large numbers. Reducing ratios to their simplest form is directly linked to equivalent fractions.
For example: On a farm there are 4 Bulls and 200 Cows. Write this as a ratio in its simplest form.
Bulls <span>: </span>Cows
4 <span>: </span>200
If we halve the number of bulls then we must halve the number of cows so that the relationship between the bulls and cows stays constant. This gives us:
Bulls <span>: </span>Cows
2 <span>: </span>100
Halving again gives us
1 <span>: </span>50
So the ratio of Bulls to Cows equals 1 : 50. The ratio is now represented in its simplest form.
An example where we have 3 quantities.
On the farm there are 24 ducks, 36 geese and 48 hens.
Ratio of ducks <span>: </span>geese <span>: </span>hens
24 <span>: </span>36 <span>: </span>48
Dividing each quantity by 12 gives us
2 <span>: </span>3 : 4
So the ratio of ducks to geese to hens equals 2 : 3 : 4 which is the simplest form since we can find no further common factor.