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sweet [91]
3 years ago
5

The table represents a function.

Mathematics
1 answer:
yan [13]3 years ago
7 0

Answer:

The table represents a function.

What is the value of f(-1)?

f(-1) = - 3

f(-1) = -1

f(-1) = 0

f(-1) = 6

Step-by-step explanation:

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The answer is 52. remember PEMDAS (parentheses, exponents, multiplication, division, addition, subtraction) you can use "please excuse my dear aunt sally" to help you remember!  :)
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3 years ago
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What is the area to this shape ?
Dafna1 [17]

Answer:

249.42 units²

Step-by-step explanation:

Given only the apothem of an n-sided regular polygon, the area can be computed as ...

... A = n·a²·tan(180°/n)

For n=3 and a=4√3, this is ...

... A = 3·(4√3)²·tan(60°)

... A = 3·48·√3 = 144√3 . . . . units²

... A ≈ 249.42 units²

4 0
3 years ago
a yard width is 2 less than it's length. If the perimeter of the yard is 20 feet determine the length and the width of the yard
Arte-miy333 [17]

Answer:

The length is 6 feet and the width is 4 feet

Step-by-step explanation:

Let x represent the length of the yard

The width can be represented by x - 2, since it is 2 less than the length.

Use the perimeter formula, P = 2l + 2w, where l is the length and w is width

Plug in the expressions and perimeter:

20 = 2x + 2(x - 2)

Solve for x:

20 = 2x + 2x - 4

20 = 4x - 4

24 = 4x

6 = x

So, the length is 6. Plug this into x - 2 to find the width

x - 2

6 - 2

= 4

So, the length is 6 feet and the width is 4 feet

5 0
3 years ago
Larry made 5 batches of punch. Each batch ises 24 fluid ounces of lemon juice and 5 pints of orange juice. If each serving is 1
kkurt [141]

Answer:

65 servings

Step-by-step explanation:

Larry made 5 batches of punch.

In each batch, she uses the amount of lemon juice = 24 fluid ounces

and the amount she uses of orange juice = 5 pints

Since 1 pint = 16 fluid ounces

∴ 5 pints = 16 × 5 = 80 fluid ounces

Total quantity of punch in each batch = 24 + 80

                                                              = 104 fluid ounces

Total quantity of punch in 5 batches = 104 × 5

                                                             = 520 fluid ounces

If each serving is 1 cup.

and 1 cup = 8 ounces

He made the number of servings all together = \frac{520}{8}

                                                                           = 65 cups

He made 65 servings all together.

8 0
3 years ago
The angle of depression from the top of a flag pole to a point on the ground is 30°. If the point on the ground is 75 feet from
Cerrena [4.2K]

Answer:

Height of flag pole to the nearest foot is 43 feet

Step-by-step explanation:

In the diagram we have flag pole AB and C is the point on the ground.

It is given that angle of depression is 30°

and the distance of the point C from the base B is 75 feet

so we have

BC= 75 feet  

∠C = 30°

AB= h feet

now in right ΔABC

tan C = \frac{opposite \ side }{base} \\tan C=\frac{AB}{BC}

now we plug AB= h , ∠C= 30° and BC =75

tan 30= \frac{h}{75}

75 tan30 = h            ( multiply both sides by 75)

h= 75 tan 30 =75 (0.5773)\\ h= 43.3 feet\\

Height of flag pole to the nearest foot is

h= 43 feet

7 0
3 years ago
Read 2 more answers
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