Answer:A
Step-by-step explanation:
Answer:
see below
Step-by-step explanation:
A: Points A and B form a right triangle with legs of 2 and 5 so AB is approximately 5.4 from the Pythagorean Theorem.
B: Points B and C form a right triangle with legs of 2 and 5 so BC is approximately 5.4.
C: We need to find the length of AC. We can do this by using the same strategy above. Points A and C form a right triangle with legs of 7 and 3 so AC = 7.6. To find the perimeter we'll do 5.4 + 5.4 + 7.6 = 18.4.
We are given the height of Joe which is 1.6 meters, the length of his shadow is 2 meters when he stands 3 meters from the base of the floodlight.
First, we have to illustrate the problem. Then we can observe two right triangles formed, one is using Joe and the length of the shadow, the other is the floodlight and the sum of the distance from the base plus the length of the shadow. To determine the height of the floodlight, use ratio and proportion:
1.6 / 2 = x / (2 +3)
where x is the height of the flood light
solve for x, x = 4. Therefore, the height of the floodlight is 4 meters.
Answer:
The largest integer value that makes the inequality true is 9.
General Formulas and Concepts:
<u>Algebra I</u>
Equality Properties
- Multiplication Property of Equality
- Division Property of Equality
- Addition Property of Equality
- Subtraction Property of Equality
Terms/Coefficients
Step-by-step explanation:
<u>Step 1: Define</u>
<em>Identify.</em>
1x - 8 < 2x + 1
<u>Step 2: Solve for </u><u><em>x</em></u>
- Simplify: x - 8 < 2x + 1
- [Subtraction Property of Equality] Subtract <em>x</em> on both sides: -8 < x + 1
- [Subtraction Property of Equality] Subtract 1 on both sides: -8 < x
- Rewrite: x > -8
∴ we see that any number <em>x greater than -8</em> would work as a solution to the inequality. That would mean the next largest integer, 9, would be our answer.
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Topic: Algebra I