Find the area of a circle with radius 4ft.

Help me with this please:)

lakkis [162]

9514 1404 393

Answer:

parallel: 5
perpendicular: -1/5

Step-by-step explanation:

The equation of the given line is written in "slope-intercept form":

y = mx + b . . . . . . where m is the slope

Matching this form to the equation you have, you see that ...

m = 5 . . . the slope of your given line.

__

A parallel line will have the same slope: 5.

__

A perpendicular line will have a slope that is the opposite reciprocal of this. The reciprocal of 5 is 1/5. The opposite of that is -1/5.

A perpendicular line will have a slope of -1/5.

3 0

3 years ago

For this problem, carry at least four digits after the decimal in your calculations. Answers may vary slightly due to rounding.

bearhunter [10]

Answer:

The point estimate for p is 0.5637.

Step-by-step explanation:

Point estimate for the proportion of all judges who are introverts.

We have a big sample.

So the proportion of the sample proportion of introverted judges can be used as the estimation of the population proportion.

In the sample:

502 judges

283 introverts.

So

p = 283/502 = 0.5637

The point estimate for p is 0.5637.

5 0

4 years ago

A running circuit is in the shape of a triangle with lengths of 6km, 6.5km and 7km. What are the sizes of the angles (in minutes

Rudik [331]

A triangle is an example of a class of figures referred to as plane shapes. It has three straight sides and three internal angles which sum up to $180^{o}$ . The measures of the internal angles of the triangle given in the question are A = $52.6^{o}$ , B = $59.4^{o}$ , and C = $68^{o}$ .

A triangle is an example of a class of figures referred to as plane shapes. It has three straight sides and three internal angles which sum up to $180^{o}$ .

Considering the given question, let the sides of the triangle be: a = 6 km, b = 6.5 km, and c = 7 km.

Apply the Cosine rule to have:

$c^{2}$ = $a^{2}$ + $b^{2}$ - 2ab Cos C

So that;

$7^{2}$ = $6^{2}$ + $(6.5)^{2}$ - 2(6 * 6.5) Cos C

49 = 36 + 42.25 - 78Cos C

78 Cos C = 78.25 - 49

= 29.25

Cos C = $\frac{29.25}{78}$

= 0.375

C = $Cos^{-1}$ 0.375

= 67.9757

C = $68^{o}$

Apply the Sine rule to determine the value of B,

$\frac{b}{Sin B}$ = $\frac{c}{Sin C}$

$\frac{6.5}{Sin B}$ = $\frac{7}{Sin 68}$

SIn B = $\frac{6.5 *Sin 68}{7}$

= 0.861

B = $Sin^{-1}$ 0.861

= 59.43

B = $59.4^{o}$

Thus to determine the value of A, we have;

A + B + C = $180^{o}$

A + $59.4^{o}$ + $68^{o}$ = $180^{o}$

A = $180^{o}$ - 127.4

= 52.6

A = $52.6^{o}$

Therefore the sizes of the internal angles of the triangle are: A = $52.6^{o}$ , B = $59.4^{o}$ , and C = $68^{o}$ .

For more clarifications on applications of the Sine and Cosine rules, visit: brainly.com/question/14660814

#SPJ1

8 0

2 years ago

Expanded notation with exponents for the number 354

Aleks04 [339]

I'm assuming you're looking for 3.54x10^2

8 0

4 years ago

(x + 9) (x + 1) Use the FOIL method, then Explain

viva [34]

Answer:

xˆ2+10x+9

Step-by-step explanation:

first, multiply x by x and by 1, that would be (xˆ2 and x), then multiply 9 by x and 1, that would be( 9x and 9), add the two parenthesis, and it totals out to xˆ2+10x+9

5 0

3 years ago