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jekas [21]
3 years ago
13

The height of a ball kicked into the air from

Mathematics
1 answer:
aniked [119]3 years ago
6 0

Answer:

Quadratic equation ax%5E2%2Bbx%2Bc=0 (in our case -16x%5E2%2B45x%2B-3+=+0) has the following solutons:

x%5B12%5D+=+%28b%2B-sqrt%28+b%5E2-4ac+%29%29%2F2%5Ca

Step-by-step explanation:

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What is the length of a rectangle whose perimeter is P, if the width is 6? please help asap!!
aliina [53]
(P-12)/2 ................................................................\


6 0
3 years ago
1
otez555 [7]

Answer:

20°

Step-by-step explanation:

arc \: length =  \frac{ \theta}{360 \degree}  \times circumference \\  \\  \frac{1}{3}  =  \frac{ \theta}{360 \degree}   \times 6 \\  \\  \theta =  \frac{360 \degree}{18}  \\  \\ \theta =20 \degree

8 0
3 years ago
A county has a population density of 257 people per square mile. The county population is 4288. What is the area of this county?
ladessa [460]

Answer:

The area of the country is 17 square miles

Step-by-step explanation:

To calculate the population density of the country. We employ the use of a mathematical formula. This can easily be obtained from the units of the density

The population density = Population of the country/area of the country

Since we are to calculate the area of the country, the equation becomes

Area of country = Population of country/population density of country

Area of country = 4288/257

Area of country = 16.68 square mile

To the nearest square mile, the Area of the country = 17 square mile

5 0
3 years ago
A bottling plant produces bottles of 500 ml at the production rate of 10,000 bottles per hour. An inspector randomly picks up 10
galben [10]

Answer:

e.none of these

Step-by-step explanation:

Computations For CC for Fraction defective

Sample No  d  p=d/100

1                    0       0

2                    0      0

3                    2     0.02

4                     1     0.01

5                     0      0

6                     1      0.01

7                     2      0.02

8                     0        0

                 Total   0.06

\overline{p} =\frac{1}{k}\sum p=\frac{0.06}{8} =0.0075

\overline{q} =1- 0.0075= 0.9925

3 sigma control limits for p chart are given by:

\overline{p} \pm 3\sqrt{\overline{p}\overline{q}/n}\Rightarrow 0.0075\pm 3\sqrt{\frac{0.0075*0.9925}{100}}

= 0.0075\pm0.0259\Rightarrow ( 0.0334,0 )

hence option e is correct

6 0
3 years ago
Given triangle abc with vertices A(2,-1), B(5,6), C(-1,4) as shown. Find the number of square units in the area of triangle abs
Roman55 [17]

Answer:

The area of the triangle is 18 square units.

Step-by-step explanation:

First, we determine the lengths of segments AB, BC and AC by Pythagorean Theorem:

AB

AB = \sqrt{(5-2)^{2}+[6-(-1)]^{2}}

AB \approx 7.616

BC

BC = \sqrt{(-1-5)^{2}+(4-6)^{2}}

BC \approx 6.325

AC

AC = \sqrt{(-1-2)^{2}+[4-(-1)]^{2}}

AC \approx 5.831

Now we determine the area of the triangle by Heron's formula:

A = \sqrt{s\cdot (s-AB)\cdot (s-BC)\cdot (s-AC)} (1)

s = \frac{AB+BC + AC}{2} (2)

Where:

A - Area of the triangle.

s - Semiparameter.

If we know that AB \approx 7.616, BC \approx 6.325 and AC \approx 5.831, then the area of the triangle is:

s \approx 9.886

A = 18

The area of the triangle is 18 square units.

7 0
3 years ago
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