Complete the table for the given rule.<br> Rule: y is 0.75 greater than x<br> x y<br> 0<br> 3 <br> 9

When Gene and Kelly were planning their trip to Paris, one United States dollar was worth about $\frac{7}{10}$ of a euro. Before

Andre45 [30]

Answer:

$280 dollars

Step-by-step explanation:

When they were leaving

$\$1 \approx \frac{7}{10}$ Euro\\Therefore:\\\$1000 \approx \dfrac{7}{10}\times 1000 =700$ Euro$

When they returned home, they brought 196 Euros.

$If\:\:\$1 \approx \frac{7}{10}$ Euro\\Then: 1 Euro $=\$ \dfrac{10}{7}\\\\$Therefore:\\\\196 Euros = \$ 196 \times \dfrac{10}{7} =\$280$

They brought back $280 dollars to the United States.

3 0

2 years ago

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a guy wire makes a 67 degree angle with the ground. walking out 32 ft further grom the tower,the angle of elevation to the top o

Shalnov [3]

Answer:

39.5 ft

Step-by-step explanation:

The mnemonic SOH CAH TOA reminds you of the relation between angles and sides of a right triangle.

Tan = Opposite/Adjacent

This lets us write two equations in two unknowns:

tan(67°) = AD/CD . . . . . . . . . . angle at guy point

tan(39°) = AD/(CD+32) . . . . . .angle 32' farther

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Solving the first equation for CD and using that in the second equation, we can get an equation for AD, the height of the tower.

CD = AD/tan(67°)

tan(39°)(CD +32) = AD . . . . eliminate fractions in the second equation

tan(39°)(AD/tan(67°) +32) = AD

32·tan(39°) = AD(1 -tan(39°)/tan(67°)) . . . simplify, subtract left-side AD term

32·tan(39°)tan(67°)/(tan(67°) -tan(39°)) = AD . . . . divide by AD coefficient

AD ≈ 39.486 . . . . feet

The tower is about 39.5 feet high.

6 0

2 years ago

The square of a number decreased by 3 times the number 28 find all possible values for the number

stealth61 [152]

Question:

The square of a number decreased by 3 times the number is 28 find all possible values for the number

Answer:

The possible values of number are 7 and -4

Solution:

Given that the square of a number decreased by 3 times the number is 28

To find: all possible values of number

Let "a" be the unknown number

From given information,

square of a number decreased by 3 times the number = 28

$a^2 - 3a = 28$

$a^2 - 3a - 28 = 0$

Let us solve the above quadratic equation

$\text {For a quadratic equation } a x^{2}+b x+c=0, \text { where } a \neq 0$

$x=\frac{-b \pm \sqrt{b^{2}-4 a c}}{2 a}$

Using the above formula,

$\text { For } a^{2}-3 a-28=0 \text { we have } a=1, b=-3, c=-28$

$\begin{aligned}&a=\frac{-(-3) \pm \sqrt{(-3)^{2}-4(1)(-28)}}{2 \times 1}\\\\&a=\frac{3 \pm \sqrt{9+112}}{2}\\\\&a=\frac{3 \pm \sqrt{121}}{2}=\frac{3 \pm 11}{2}\\\\&a=\frac{3+11}{2} \text { or } a=\frac{3-11}{2}\\\\&a=7 \text { or } a=-4\end{aligned}$

Thus the possible values of number are 7 and -4

5 0

2 years ago

which is a pair of dependent events? spinning a spinner one time and then spinning it a second time flipping a quarter and then

Sphinxa [80]

<h2><u>Answer and explanation:</u></h2>

Two events are said to be dependent on each other, if the outcome of the first thing affects the outcome of the second thing in such a way that the probability changes.

Here, the right answer will be = removing a marble from a bag, not putting it back, and then removing a second marble.

Explanation:

Lets suppose there were 10 marbles in the bag at the first place. Now, you removed one marble and did not put it back. So, remaining marbles will be 9. Now, if again you choose a marble, you have 9 marbles to choose from. We can see that probability changes with the event that occurred at first place.

So, this is the right answer.

Rest options are simultaneous one. They are not dependent in any way.

7 0

2 years ago

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A building engineer analyzes a concrete column with a circular cross section. The circumference of the column is 18 \pi18π18, pi

Whitepunk [10]

Answer:

$A=81\pi $ m^2$