Which problem solving strategy would be best to solve this problem?

. A bridge over a river is built in the shape of a parabolic arch. The bridge has a span of 100 feet. The height of the arch is

katen-ka-za [31]

Answer:

The height of the arch at its center is 250/9 or about 27.78 feet.

Step-by-step explanation:

We can write an equation to model the parabolic arch.

Let the left-most point of the arch be the origin (0, 0).

Since the bridge has a span of 100 feet, the right-most point must be (0, 100).

We can use the factored form of a quadratic:

$y=a(x-p)(x-q)$

Where p and q are the x-intercepts.

Our x-intercepts are x = 0 and x = 100. Hence:

$y=ax(x-100)$

At a point 40 feet from the center, the height of the arch is 10 feet.

The center is x = 50. So, a point 40 feet from the center can be either x = 10 or x = 90.

So, for instance, when x = 10, y = 10. Substitute and solve for a:

$10=10a(10-100)$

So:

$\displaystyle a=-\frac{1}{90}$

The same value will result if we let x = 90 and y = 10.

Hence, our equation is:

$\displaystyle y=-\frac{1}{90}x(x-100)$

The height of the arch at its center will be when x = 50. Hence:

$y(50)=\displaystyle -\frac{1}{90}(50)((50)-100)=\frac{250}{9}\approx 27.78\text{ feet}$

4 0

3 years ago

Classify the following triangle

larisa86 [58]

Answer:

A. Right Triangle

D. Isosceles

Step-by-step explanation:

Well, since it has a square at the bottom of the triangle, it means it's a right triangle, because it has a 90 degree angle.

It is also an isosceles triangle, because two of the sides are of equal length.

Hope this helped!

:)

4 0

3 years ago

there are 800 seats in the varsity theater. during regular preformances, all seats cost $12 each. It costs the owner $275 to pay

r-ruslan [8.4K]

Answer:

The correct answers are the following:

A) P=12n-275

B) 124

C) Decrease by $100

Step-by-step explanation:

A) P=12n-275  - Each person (n) pays $12, then the cost/expense ($275) is subtracted from the income to get the profit.

B) 1,213=12n-275 - Plug in the value for P ($1,213).

1,488=12n - Add $275 to both sides.

124=n - Divide both sides by $12.

n=124  - This the number (n) of people that attended.

C) P=12n-375 - Change the value for expense to $375.

P=12(124)-375 - Plug in the value for n (124).

P=1488-375 - Simplify and find the difference.

P=1,113 - This is your profit.

1,113-1,213=-100  - $100 reduction/decrease of profit (or -$100 to profit)

Hope this helps!

6 0

3 years ago

Which complex number has an absolute value of 5?

Bess [88]

For this case we can use the Pythagorean theorem to solve the problem.
We have then for the following complex number:
$-3 + 4i
$
Using the Pythagorean theorem:
$\sqrt{(-3)^2+(4)^2}$
Rewriting we have:
$\sqrt{9+16}$
$\sqrt{25}$
$5$
Answer:
A complex number that has an absolute value of 5 is:
A)–3 + 4i

5 0

4 years ago

Read 2 more answers

WILL MARK BRAINLIEST PLEASE HELP x

polet [3.4K]

Answer:

3. time = 6.4999 approximately 6.5 years

4. $2235.35

5. $ 3950

Step-by-step explanation:

4. amount of interest = final amount - principle= 7535.35 - 5300 = 2235.35

5. principle = final amount - interest earned = 4435.25 - 485.25 = 3950