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3 years ago

What is the value of y ?

Mathematics

1 answer:

tia_tia [17]3 years ago

4 0

Answer:

Step-by-step explanation:

Chords within a circle are proportional. Proportional means that they form equal ratios. To solve for y, set up a proportion.

The ratios we will create will be $\frac{long}{short} =\frac{long}{short}$ where each long and short form an angle.

So write:

$\frac{12}{8} =\frac{y}{4}$

To solve, cross multiply numerator with denominator.

12(4) = 8(y)

48=8y

6=y

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Please help me with all these.

3241004551 [841]

In the first table, y = 4x. So y is proportional to x.

In the second table, y is not proportional to x.

In the third table, 2y = 3x. So, y is proportional to x.

7 0

2 years ago

PLEASEEEEEEEEEEEEEEEEEE URGENT

jeyben [28]

Option C:

f(x) = 5x + 7 is the function of the input-output table.

Solution:

Option A: f(x) = 6x + 9

Input x = 1 in the above equation.

f(1) = 6(1) + 9

= 6 + 9

f(1) = 15

But the output is 12 in the table.

So, it is not the function of the table.

Option B: f(x) = 7x + 5

Input x = 1 in the above equation.

f(1) = 7(1) + 5

f(1) = 12

Input x = 5 in the above equation.

f(5) = 7(5) + 5

f(5) = 40

But the output is 32 in the table.

So, it is not the function of the table.

Option C: f(x) = 5x + 7

Input x = 1 in the above equation.

f(1) = 5(1) + 7

f(1) = 12

Input x = 5 in the above equation.

f(5) = 5(5) + 7

f(5) = 32

Input x = 10 in the above equation.

f(10) = 5(10) + 7

f(10) = 57

Input x = 5 in the above equation.

f(15) = 5(15) + 7

f(15) = 82

All outputs are correct for the given input.

Hence it is the function of the table.

Option D: f(x) = 12x + 1

Input x = 1 in the above equation.

f(1) = 12(1) + 1

f(1) = 12

Input x = 5 in the above equation.

f(5) = 12(5) + 1

f(5) = 61

But the output is 32 in the table.

So, it is not the function of the table.

Hence Option C is the correct answer.

f(x) = 5x + 7 is the function of the input-output table.

4 0

3 years ago

Any help if possible Thank you ❤

Mariana [72]

$v = \frac{1}{3} \pi {r}^{2} h \\ r = 8 \: cm \\ h = 15 \: cm$
From the diagram, we can see that the radius of the cone is 8cm and the height of the cone is 15cm. We then just plug these numbers into the formula and simplify:
$v = \frac{1}{3} \pi {r}^{2} h \\ v = \frac{1}{3} \pi {(8)}^{2} (15) \\ v = 320\pi$
The volume of the cone is approximately 1005.3096 cm^3. With 3 sig figs, this is 1010 cm^3.

3 0

3 years ago

Find the value of y. Round your answer to the nearest tenth.

ss7ja [257]

I think its supposed to be divide so i think C. would be the answer

7 0

2 years ago

Read 2 more answers

What is the area to this problem?

Nady [450]

Answer:

56 units²

Step-by-step explanation:

Each triangle has an area that is ...

... A = 1/2bh = 1/2·7·4

There are 4 such triangles, so the total area is ...

... 4A = 4(1/2)·7·4 = 2·7·4 = 56 . . . . units²

_____

An area formula customarily used when the diagonals are pependicular to each other is that the area is half the product of their lengths.

... A = (1/2)d1·d2 = (1/2)·14·8 = 56

6 0

3 years ago