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2 years ago

15

Julio Ernesto earns $15 an hour at his part-time job. Last week he worked 26 hours, and 45 minutes.. What was his gross pay for

the week?

1 answer:

zmey [24]2 years ago

8 0

Answer:I need help on my question pls help me

Step-by-step explanation:

You might be interested in

Prove that x is a subset of y then x union z is a subset of y union z for all sets x y and z

Ganezh [65]

We are to show that if X ⊆ Y then (X ∪ Z) ⊆ (Y ∪ Z) for sets X, Y, Z.

Assume that a is a representative element of X, that is, a ∈ X. By the definition of union, a ∈ X ∪ Z. Now because X ⊆ Y and we assumed a ∈ X, then a ∈ Y by the definition of subset. And because a ∈ Y, then a ∈ Y ∪ Z by definition of union.

We chose our representative element, a, and showed that a ∈ X ∪ Y implies that a ∈ Y ∪ Z and this completes the proof.

4 0

2 years ago

The 3rd degree Taylor polynomial for cos(x) centered at a = π 2 is given by, cos(x) = − (x − π/2) + 1/6 (x − π/2)3 + R3(x). Usin

Otrada [13]

Answer:

The cosine of 86º is approximately 0.06976.

Step-by-step explanation:

The third degree Taylor polynomial for the cosine function centered at $a = \frac{\pi}{2}$ is:

$\cos x \approx -\left(x-\frac{\pi}{2} \right)+\frac{1}{6}\cdot \left(x-\frac{\pi}{2} \right)^{3}$

The value of 86º in radians is:

$86^{\circ} = \frac{86^{\circ}}{180^{\circ}}\times \pi$

$86^{\circ} = \frac{43}{90}\pi\,rad$

Then, the cosine of 86º is:

$\cos 86^{\circ} \approx -\left(\frac{43}{90}\pi-\frac{\pi}{2}\right)+\frac{1}{6}\cdot \left(\frac{43}{90}\pi-\frac{\pi}{2}\right)^{3}$

$\cos 86^{\circ} \approx 0.06976$

The cosine of 86º is approximately 0.06976.

8 0

2 years ago

In the isosceles △ABC m∠ACB=120° and AD is an altitude to leg BC . What is the distance from D to base AB , if CD=4cm?

7nadin3 [17]

Correct answer is: distance from D to AB is 6cm

Solution:-

Let us assume E is the altitude drawn from D to AB.

Given that m∠ACB=120° and ABC is isosceles which means

m∠ABC=m∠BAC = $\frac{180-120}{2}=30$

And AC= BC

Let AC=BC=x

Then from ΔACD , cos(∠ACD) = $\frac{DC}{AC} =\frac{4}{x}$

Since DCB is a straight line m∠ACD+m∠ACB =180

m∠ACD = 180-m∠ACB = 60

Hence $cos(60)=\frac{4}{x}$

$x=\frac{4}{cos60}= 8$

Now let us consider ΔBDE, sin(∠DBE) = $\frac{DE}{DB} =\frac{DE}{DA+AB} = \frac{DE}{4+8}$

$DE = 12sin(30) = 6cm$

7 0

2 years ago

Keenan currently does a total of 888 pushups each day. He plans to increase the number of pushups he does each day by 222 pushup

marishachu [46]

Answer:

8 + 2x = 30

Step-by-step explanation:

Given,

The initial number of push-ups he does in each day = 8,

And, the number of push-ups, he increases per day = 2,

Let x be the number of days after he will reach his target of 30 push-ups,

Since, the number of push-ups she will increase in x days = 2x,

Thus, the number of push-ups she will do after x days = 8 + 2x,

⇒ 8 + 2x = 30, which is the required equation.

4 0

2 years ago

Ian has 20 football cards, and Jason has 44 baseball cards. They agree to trade such that jason

Alina [70]

Answer:

12 trades

Step-by-step explanation:

Let's call 'x' the number of trades they will do.

After each trade, the number of cards Ian has increase by 1 (he gives 1 but receives 2), and the number of cards Jason has decrease by 1 (he receives 1 but gives 2), so after x trades, the number of cards Ian has is 20 + x, and Jason has 44 - x.

To find the number of trades when they will have the same amount of cards, we have that:

20 + x = 44 - x

2x = 24

x = 12 trades

8 0

2 years ago