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klasskru [66]
2 years ago
8

1.. Find c. please help asap

Mathematics
1 answer:
matrenka [14]2 years ago
3 0

Answer:

10\sqrt{2}

Step-by-step explanation:

The given is a special right triangle with angle measures as follows:

45-45-90

The side lengths for this special right triangle are represented as follows:

a (the side length that sees angle measure 45)

a\sqrt{2} (the side length that sees angle measure 90)

İn the image we can see that one of the side length that sees angle measure 45 is 10

so c, the side length that sees angle measure 90 (hypotenuse),

is equal to

10\sqrt{2}

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A video game displays 132 frames in 6 seconds on Penelope's computer. What is the rate in frames per second?
juin [17]

Answer:

unit\ rate=22\ frames\ per\ second

Step-by-step explanation:

we know that

To find the unit rate , divide the total frames by the total seconds

Let

x ----> the total frames displayed by the video game

y ----> the total seconds

unit\ rate=\frac{x}{y}

we have

x=132\ frames\\y=6\ seconds

substitute the values

unit\ rate=\frac{132}{6}=22\ frames\ per\ second

8 0
3 years ago
How to differentiate ?
Bas_tet [7]

Use the power, product, and chain rules:

y = x^2 (3x-1)^3

• product rule

\dfrac{\mathrm dy}{\mathrm dx} = \dfrac{\mathrm d(x^2)}{\mathrm dx}\times(3x-1)^3 + x^2\times\dfrac{\mathrm d(3x-1)^3}{\mathrm dx}

• power rule for the first term, and power/chain rules for the second term:

\dfrac{\mathrm dy}{\mathrm dx} = 2x\times(3x-1)^3 + x^2\times3(x-1)^2\times\dfrac{\mathrm d(3x-1)}{\mathrm dx}

• power rule

\dfrac{\mathrm dy}{\mathrm dx} = 2x\times(3x-1)^3 + x^2\times3(3x-1)^2\times3

Now simplify.

\dfrac{\mathrm dy}{\mathrm dx} = 2x(3x-1)^3 + 9x^2(3x-1)^2 \\\\ \dfrac{\mathrm dy}{\mathrm dx} = x(3x-1)^2 \times (2(3x-1) + 9x) \\\\ \boxed{\dfrac{\mathrm dy}{\mathrm dx} = x(3x-1)^2(15x-2)}

You could also use logarithmic differentiation, which involves taking logarithms of both sides and differentiating with the chain rule.

On the right side, the logarithm of a product can be expanded as a sum of logarithms. Then use other properties of logarithms to simplify

\ln(y) = \ln\left(x^2(3x-1)^3\right) \\\\ \ln(y) =  \ln\left(x^2\right) + \ln\left((3x-1)^3\right) \\\\ \ln(y) = 2\ln(x) + 3\ln(3x-1)

Differentiate both sides and you end up with the same derivative:

\dfrac1y\dfrac{\mathrm dy}{\mathrm dx} = \dfrac2x + \dfrac9{3x-1} \\\\ \dfrac1y\dfrac{\mathrm dy}{\mathrm dx} = \dfrac{15x-2}{x(3x-1)} \\\\ \dfrac{\mathrm dy}{\mathrm dx} = \dfrac{15x-2}{x(3x-1)} \times x^2(3x-1)^3 \\\\ \dfrac{\mathrm dy}{\mathrm dx} = x(15x-2)(3x-1)^2

7 0
2 years ago
(-3+-2^2) + -(4*2) / 2
ozzi

Answer:

-3

Step-by-step explanation:

2^2 = 4

4 + (-3) = 1

4*2 = 8

8 * -1 = -8

-8 / 2 = -4

1 + -4 = -3

5 0
3 years ago
Marcus buys a tent priced at $50 if the sales tax is 5% how much tax will Marcus pay
seraphim [82]

5% = 0.05

50 x 0.05 = $2.50

 Total tax will be $2.50


 Total amount he will pay = 50 + 2.50 = $52.50

3 0
3 years ago
Read 2 more answers
Pls pls plz plz pls help
Citrus2011 [14]

Answer:

x is 24°

Step-by-step explanation:

angles substended by the same chord or arc....90-66= 24°.

5 0
2 years ago
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