Help me please, if you can.

The feet of a commemorative parabolic steel arch 100m high are 200m apart. Determine whether the focus of the arch is above or b

Neko [114]

<span>First of all, there should be coherence for the units of measurement -- either they are all meters or they are all ft. I would assume they are all ft. The correct answer is 75 ft above. T The explanation is the following: suppose the ground level is the x-axis, the 2 feet of the arch lie respectively on (0,0) and (100,0) on the ground level. Since the arch is 100ft high, the vertex of the parabola will be the point (100,100). Thus, we can find the equation describing the parabola by putting the three points we know in a system and we find that the equation of the parabola is y=(-1/100)x^2+2 To find the focus F, we apply the formula for the focus of a vertical axis parabola, i.e. F(-b/2a;(1-b^2+4ac)/4a). By substituting a=-1/100, b=2 and c=0 into the formula, we find that the coordinates of the focus F are (100,75). So we conclude that the focus lies 75ft above ground.</span>

7 0

3 years ago

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Which estimate is the most reasonable for this problem?

DIA [1.3K]

If you would like to know how much farther does Louisa's family need to drive, you can calculate this using the following steps:

791 miles - 114 miles = 677 miles ... 700 miles

The correct result would be D. 700 mi.

5 0

3 years ago

Arianna has a large piece of fabric that she wants to use to make some scarves. The number N of scarves she can make is inversel

kow [346]

She can make 12 scarves if the area of each scarf is 4 square feet.

6 0

3 years ago

Two adjacent angles of a rhombus as in the ratio 2:3. Eind all the a angles of the rombus

Tomtit [17]

Answer:

Let the adjacent angles of the rhombus be 2x and 3x. We know that the sum of the measures of the adjacent angles is equal to 180°. AD = DC = 3 × 36° = 108°. Hence , the angles of the rhombus are 72° , 108° , 72° and 108°.

Step-by-step explanation:

6 0

3 years ago

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Reika [66]

Answer:

Quantitative: i) The number of students in the school vis - a - vis the number of classes in the school. In order words, simply number of students per class

ii) The rate of graduation of students.

Categorical:i) Courses being taken by students

ii) Region of country of students.

Step-by-step explanation:

To answer this question effectively, it's important for us to know that a quantitative variable usually has numerical values, and also have units of measure as well while categorical variables simply places each student into a specific category.

Now, the two quantitative variables we will consider are;

i) The number of students in the school vis - a - vis the number of classes in the school. In order words, number of students per class

ii) The rate of graduation of students.

Also, the two categorical variables we will consider are;

i) Courses being taken by students

ii) Region of country of students

5 0

3 years ago