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2 years ago

Find the value of x and y.

Mathematics

1 answer:

Oxana [17]2 years ago

3 0

Answer:

x = 4

y = 12°

Step-by-step explanation:

Since each angles are equal ,

So each angle is 60°.

=> 5y = 60°

=> y = 60/5°

=> y = 12°

Again all sides will be equal ,

=> 5x - 6 = 3x + 2

=> 5x - 3x = 6+2

=> 2x = 8

=> x = 4

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Ethan buys a video game on sale. If the video game usually costs $39.99, and it was on sale for 20% off, how much did Ethan pay.

Firlakuza [10]

Answer: $31.99

Step-by-step explanation:

So, it is originally $39.99, so first we convert 20% to a decimal, which is 0.2.

Then we do 39.99 * 0.2 to find how much money was taken off.

39.99 * 0.2 = 7.998, or $8

Now, we do the original dollar amount, $39.99, minus the discount, $8, which equals $31.99.

5 0

3 years ago

Read 2 more answers

Consider F and C below. F(x, y) = x4y5i + x5y4j, C: r(t) = t3 − 2t, t3 + 2t , 0 ≤ t ≤ 1 (a) Find a function f such that F = ∇f.

vovikov84 [41]

$\mathbf f(x,y)=x^4y^5\,\mathbf i+x^5y^4\,\mathbf j$

We want a scalar function $f(x,y)$ whose gradient is equivalent to the vector field. That means

$\dfrac{\partial f}{\partial x}=x^4y^5\implies f(x,y)=\dfrac{x^5y^5}5+g(y)$
$\dfrac{\partial f}{\partial y}=x^5y^4\implies x^5y^4=x^5y^4+\dfrac{\mathrm dg}{\mathrm dy}$
$\implies\dfrac{\mathrm dg}{\mathrm dy}=0\implies g(y)=C$

So (a)

$f(x,y)=\dfrac{x^5y^5}5+C$

which means (b)

$\displaystyle\int_{\mathcal C}\mathbf f\cdot\mathrm d\mathbf r=f(\mathbf r(1))-f(\mathbf r(0))=f(-1,3)-f(0,0)=-\dfrac{243}5-0=-\dfrac{243}5$

5 0

2 years ago

An integer that is a whole number but not a natural number.

Zigmanuir [339]

Answer:

Step-by-step explanation:

0 is a whole number but not a natural number because it does not have a positive or negative value.

3 0

3 years ago

Read 2 more answers

Help please, i really need help with this too, I need it by tomorrow.

Zielflug [23.3K]

Answer:

Step-by-step explanation:

DCB and ABC are right angles

DCB = 90 = 7x + 34

If 7x + 34 = 90, then 7x = 56 and x = 8

Hope this helps :)

8 0

2 years ago

Which of the following is the last step in creating a budget?

pentagon [3]

If you list the answer choices, I might be able to help you better.

8 0

3 years ago