You need to use a ratio of height (H) to shadow length (L) to solve the first problem. It's basically a use of similar triangles, with two perpendicular sides, and with the shadow making the same angle with the vertical.
6 ft = 72 ins, so that rH/L = 72/16 = 9/2 for the player.
So the bleachers are 9/2 x 6 ft = 27 ft.
For the second problem, 9 ft = 108 in, so that the ratio of the actual linear dimensions to the plan's linear dimensions are 9ft/(1/2in) = 2 x 108 = 216.
So the stage will have dimensions 216 times larger than 1.75" by 3".
That would be 31ft 6ins x 54ft.
Live long and prosper.
Answer:
144 hope it helps
Step-by-step explanation:
The change is the remaining money that is needed to take from the seller so a change of Umberto will be $6.62.
<h3>What is subtraction?</h3>
To subtract in mathematics is to take something away from a group or a number of objects.
The group's total number of items decreases or becomes lower when we subtract from it.
Given that,
Umberto buys a game for $7.89 and some batteries for $5.49.
Total money of buying = 7.89 + 5.49 = $13.38
Now he gives a $20 bill.
Remaining (change) = 20 - 13.38
⇒ $6.62
Hence "The change of Umberto will be $6.62".
For more about subtraction,
brainly.com/question/1927340
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The solution to the inequality is x > 3
The number line that represent the solution set will be:
<em>A number line from negative 5 to 5 in increments of 1. An open circle is at 3 and a bold line starts at 3 and is pointing to the right</em>. The correct option is the second option
<h3>Linear Inequalities </h3>
From the question, we are to determine the number line that represents the solution set for the given inequality
The given inequality is
3(8 – 4x) < 6(x – 5)
First, we will solve the inequality
3(8 – 4x) < 6(x – 5)
Clear the brackets
24 - 12x < 6x - 30
Collect like terms
24 + 30 < 6x + 12x
54 < 18x
Divide both sides by 18
3 < x
∴ x > 3
Hence, the number line that represent the solution set will be:
<em>A number line from negative 5 to 5 in increments of 1. An open circle is at 3 and a bold line starts at 3 and is pointing to the right</em>. The correct option is the second option
Learn more on Linear inequalities here: brainly.com/question/28003708
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Answer:
Step 1 Divide all terms by a (the coefficient of x2).
Step 2 Move the number term (c/a) to the right side of the equation.
Step 3 Complete the square on the left side of the equation and balance this by adding the same value to the right side of the equation.
Step-by-step explanation:
hope i helped
