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mamaluj [8]
3 years ago
6

West of Checkpoint A, which is at (0,5), are two hurdles that Helena needs to jump over. Hurdle 1 is 4 units west of Checkpoint

A, and hurdle 2 is 3 units west of hurdle 1. Checkpoint B is 2 units west of hurdle 2.
Mathematics
1 answer:
jeka943 years ago
6 0

Answer:

Coordinate of Checkpoint B is (-9,5)

Step-by-step explanation:

Here is an inserted image of the graph and coordinates.

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Find out if the lengths form a right triangle ​
Mila [183]

Answer:

The triangle is a right triangle.

Step-by-step explanation:

Since The Pythagorean Theorem only works on right triangles, we can use this knowledge to prove whether this triangle is right:

a^2 + b^2 = c^2\\10^2 + (2\sqrt{39})^2 = 16^2\\100 + (4 \times 39) = 256\\100 + 156 = 256\\256 = 256

Therefore, the triangle is right.

3 0
2 years ago
A plumbing supply company has fixed costs of $9,000 per month and average variable costs of $9.30 per unit manufactured. The com
nekit [7.7K]

Answer:

8710 units

Step-by-step explanation:

<em>Step 1: Write all the data</em>

Fixed cost: $9000

Average variable cost: 9.3 per unit

Total cost: 90,000

Total units: x

<em>Step 2: Find the total variable cost</em>

Average variable cost is per unit so it has to be multiplied by the number of units to find the total variable cost.

Total variable cost = average variable cost per unit x number of units

Total variable cost = 9.3x

<em>Step 3: Make the formula for finding x</em>

Total cost = total fixed cost + total variable cost

90,000 = 9000 + 9.3x

81000 = 9.3x

x = 8709.67

Rounded off to 8710 units

!!

3 0
3 years ago
What’s the answer. Please respond fast
8_murik_8 [283]
The answer to your problem is 108.18
7 0
3 years ago
The price of products may increase due to inflation and decrease due to depreciation. Derek is studying the change in the price
iren [92.7K]
Part A.

1) Function given:

f(x)=0.69(1.03)^x

2) Interpretation:

initial value: => x = 0 => f(x) = 0.69

table:

x                f(x)
year          price

0              0.69

1             0.69 * 1.03 = 0.7107 => increase = 3%

2             0.69 * (1.03)^2 = 0.732021 => increase = 3%

So, the answer is that the function is increasing at 3% per year.

Part B.

3) table

<span> t (number of years)      1             2              3                  4
f(t) (price in dollars)     10,100    10,201     10,303.01   10,406.04

Percent change:

Year 2: 10,201 / 10,100 = 1.01 => 1% increase

Year 3: 10,303.01 / 10,201 = 1.01 => 1% increase

Year 4: 10,406.04 / 10,303.01 = 1.01 => 1% increase.

Answer: the </span><span>product of the part A recorded a greater percentage change in price over the previous year (3% vs 1%).</span>
5 0
4 years ago
brian and brenda are having a lemonade sale. brenda sells 20 cups of water in 2 hours. how many cups of lemonade did she sell pe
ruslelena [56]

Answer:

She sold 10 cups per hour

Step-by-step explanation:

To find the number per hour, divide the total sold by the total number of hours.

20 cups/2 hours = 10 per hour

6 0
3 years ago
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