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2 years ago

For each question, each pair of triangles are similar but not drawn to scale. Calculate any lettered lengths.

Mathematics

1 answer:

Karolina [17]2 years ago

8 0

Answer:

a. 20

b. 5

Step-by-step explanation:

The scale factor is 5 because 6×5=30

a. 4×5=20

b. 25÷5=5

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monitta

Answer:

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Step-by-step explanation:

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2 years ago

Read 2 more answers

Three high school basketball teams measured the heights of all of their basketball players: The Derby Dragons have a mean height

sweet [91]

Answer:

The Ballwin Bears are taller on average, and the Aviston Aces have players whose heights are more consistent.

Step-by-step explanation:

for derby dragon;

mean height = 72 inches

standard deviation = 1.2 inches

for aviston aces:

mean height = 70.8

standard deviation = 0.7 inches

for balwin bears;

mean height = 73 inches

standard deviation = 1.0 inches

the mean height of aviston aces < mean height of derby < mean height of balwin bears

So on average the balwin bears are taller.

The standard deviation of derby dragon is > that of balwin bears > aviston aces.

So the more consistent height is that of aviston aces players.

6 0

3 years ago

Farmer Jack needs 1,800 square feet of garden space to have enough corn for a year. His garden space is currently 10 5?6 feet by

sergey [27]

Answer:

$1,605\ ft^{2}$

Step-by-step explanation:

step 1

Find the area of the garden space

First convert mixed number to an improper fraction

$10\frac{5}{6}\ ft=\frac{10*6+5}{6}=\frac{65}{6}\ ft$

$A=\frac{65}{6}*18=195\ ft^{2}$

step 2

Find how much more land Farmer Jack needs to plant the rest of his corn

$1,800\ ft^{2}-195\ ft^{2}=1,605\ ft^{2}$

4 0

3 years ago

In efforts of improving their orofit margins, a company is considering creating their own manufacturing plant for their product.

Trava [24]

Answer:

To get an overall profit of $100,000, then 3,571 items is needed to be produced

Step-by-step explanation:

Mathematically;

Profit = Revenue - Production cost

In the question, we are told that the profit we are expecting is $100,000

Let the number of items to be produced for sales be x items

Now let’s look at the production cost ;

The production cost will be number of items for sale * production cost = 15 * x = $15x

Now, we need to add the start-up cost to the production cost to get the total amount spent on production;

Mathematically the total amount would be = $25,000 + $15x

Let’s look at the revenue;

The revenue will be selling price of each item * price of each item;

Mathematically, that would be 50 * x = $50x

So therefore;

50x - (25,000 + 15x) = 100,000

50x -25,000 -15x = 100,000

35x = 100,000 + 25,000

35x = 125,000

x = 125,000/35 = 3571.42 which is approximately 3,571 items

7 0

3 years ago

Ariana buys an ant farm from a store near her home. the ant farm price $12, and the sales tax is 7% what is the total price of t

aalyn [17]

Answer:

The total price for ant farm is $12.84

Step-by-step explanation:

The price of ant farm = $ 12

The sales tax on the price = 7%

Noe, 7% of $12 = $\frac{7}{100} \times 12 = 0.84$

⇒The tax amount on the price = $0.84

So, the Taxed amount = The original price + Tax

$ 12 + $0.84 = $12.84

Hence the total price for ant farm is $12.84

6 0

3 years ago