Find the parity of the following if a and b have different parities.
(5a - 3b)(a² + 5b) + 2

Answer:

The answer is:

0.18

0.92

0.15

1.80

Answer:

[tex]C=25^{\circ},\\a\approx 10.72,\\b\approx 11.83[/tex]

Step-by-step explanation:

The sum of the interior angles of a triangle is 180 degrees. Thus, angle C must be [tex]180-90-65=25^{\circ}[/tex].

In any triangle, the Law of Sines is given by [tex]\frac{\sin A}{a}=\frac{\sin B}{b}=\frac{\sin C}{c}[/tex].

Therefore, we have:

[tex]\frac{\sin 90^{\circ}}{b}=\frac{\sin 25^{\circ}}{5},\\\\b=\frac{5\sin90^{\circ}}{\sin 25^{\circ}}=11.8310079158\approx \boxed{11.83}[/tex]

[tex]\frac{a}{\sin 65^{\circ}}=\frac{5}{\sin25^{\circ}},\\a=\frac{5\sin 65^{\circ}}{\sin25^{\circ}}=10.7225346025\approx \boxed{10.72}[/tex]

Given :

An airplane flying at an altitude of 37,000 feet is still A horizontal distance of 100 miles (100 miles = 5280 ft) from the airport.

To Find :

What angle of depression does the airplane need to use to reach the runway?

Solution :

Let, angle of depression is [tex]\theta[/tex] .

So,

[tex]tan\ \theta = \dfrac{ Altitude \ in \ which \ plane \ is \ flying}{Horizontal \ Distance}\\\\tan \ \theta = \dfrac{37000}{5280}\\\\tan \ \theta = 7.00\\\\\theta = tan^{-1} 7\\\\\theta = 81.87^o[/tex]

Hence, this is the required solution.

Answer:

153.93804 in^2

Step-by-step explanation:

Area = radius^2 π = 7^2 π = 153,93804 in^2

Answer:

[tex]area = \pi \: r \:^{2} \\ = \pi(7) ^{2} \\ = 153.938 \: in ^{2} [/tex]

Answer:

A. 3 [tex]\frac{1}{4}[/tex]

Step-by-step explanation:

Answer:

20

Step-by-step explanation

7*4=28

28-4=24

4(2)=8

28-8=20

hope that helped!!

Answer:

y = 8/27

Step-by-step explanation:

given

x = 7

y = 4x*y - 4(2)

y = 4*7*y - 8

y = 28y - 8

8 = 28y - y

8 = 27y

8/27 = y

to prove

y = 4x*y - 4(2)

8/27 = 4*7*y - 8

8/27 = 28*8/27 - 8

8/27 = 224/27 - 8

8/27 = 224 - 27*8/27

8/27 = 8/27

hence it is proved that y is 8/27 .

Answer:

98

Step-by-step explanation:

The absolute value of a number different from 0 is always positive

- * - = +

15 + 83 = 98

9514 1404 393

Answer:

  see below

Step-by-step explanation:

Perhaps you're stuck because it is too simple. If any value in the x-column is repeated, the relation is not a function.

Of the two relations shown, the first is not a function (x=3 is repeated), and the second one is a function (all the x-values are different).

Answer:

17 and 32

Step-by-step explanation:

x + (x + 15) = 49

2x + 15 = 49

2x = 34

x = 17

x + 15 = 32

Answer:

can you please put a better picture?

9514 1404 393

Answer:

  x = 48

Step-by-step explanation:

The sum of the angles in a pentagon is 540°, so you have ...

  90° +100° +110° +2x° +3x° = 540°

  5x = 240 . . . . . . . divide by °, subtract 300

  x = 48 . . . . . . . . . divide by 5

_____

Additional comment

The sum of angles in a convex n-gon is (n -2)×180°. For a pentagon, that's 3×180° = 540°.

Answer:

15.9 units

Step-by-step explanation:

use the pathagorean theorem to find x.

a^2 + b^2 = c^2

6^2 + b^2 = 17^2

36 + b^2 = 289

-36             -36

[tex]\sqrt{b^{2} }[/tex]= [tex]\sqrt{253}[/tex]

b = 15.90597372

b = 15.9

Answer:b

Step-by-step explanation:

Answer:

x = 3.2

Step-by-step explanation:

Since they are similar the ratio of the side lengths must be the same

Using the bottom side and the unknown side from the left figure and the right figure

5            4

----- = --------

4            x

Using cross products

5x = 4*4

5x = 16

Divide by 5

x = 16/5

x =3.2

Answer:

6

Step-by-step explanation:

[tex]V = A * b = 5A[/tex]

[tex]5A = 141.3[/tex]

[tex]A = 28.26[/tex]

[tex]\pi r^2 = 28.26[/tex]

[tex]3.14 r^2 = 28.26[/tex]

[tex]r^2 = 9[/tex]

[tex]r = 3[/tex]

[tex]D = 2r = 2 * 3 = 6[/tex]

Answer:

15 pounds of plaster

Step-by-step explanation:

First, convert ounces to pounds.

In 1 pound, there are 16 ounces. Create a proportion to convert 12 ounces to pounds.

[tex]\frac{1}{16}[/tex] = [tex]\frac{x}{12}[/tex]

Cross multiply and solve for x:

16x = 12

x = 0.75

So, each student will need 0.75 pounds of plaster. Multiply this by 20 to find the total amount the teacher will need:

20(0.75)

= 15

So, the teacher will need 15 pounds of plaster

Answer:

15 pounds

Step-by-step explanation:

Answer: 8

Step-by-step explanation

Answer:

$8

Step-by-step explanation:

If we just keep track of the money in the account, we can solve this pretty quickly. If the balance is -20, and we subtract another 10 from it, it gives us -30. $38 is then deposited into the account, giving us a balance of $8.

[tex]-20-10+38=8[/tex]

Answer:

x=3

Step-by-step explanation:

Log base 5 of 125=x

that is equal to 5x5x5 which is 125

5 is multiplied 3 times so x is 3

Answer:

multiply all sides (5.5 x 6 x 8.5) which results to 261.5 ft squared

Answer:

The coefficient of variation after the tax is imposed is 0.033

Step-by-step explanation:

Given

[tex]\mu =1000[/tex] --- mean

[tex]\sigma^2 = 1200[/tex] --- variance

[tex]tax = 10\%[/tex]

Required

The coefficient of variation

The coefficient of variation is calculated using:

[tex]CV = \frac{\sqrt{\sigma^2}}{\mu}[/tex]

After the tax, the new mean is:

[tex]\mu_{new} = \mu * (1 + tax)[/tex]

[tex]\mu_{new} = 1000 * (1 + 10\%)[/tex]

[tex]\mu_{new} = 1100[/tex]

And the new variance is:

[tex]\sigma^2_{new} = \sigma^2 * (1 + tax)[/tex]

[tex]\sigma^2_{new} = 1200 * (1 + 10\%)[/tex]

[tex]\sigma^2_{new} = 1320[/tex]

So, we have:

[tex]CV = \frac{\sqrt{\sigma^2}}{\mu}[/tex]

[tex]CV = \frac{\sqrt{1320}}{1100}[/tex]

[tex]CV = \frac{36.33}{1100}[/tex]

[tex]CV = 0.033[/tex]

Answer:

11-9=2 then, 2^3=8 , finally 8X2=16

Step-by-step explanation:

remember order of operations

Answer:

77

Step-by-step explanation:

as far as I can tell the steps between the given numbers are

-1

+4

-27

+16

1 can be expressed as 1³

4 can be expressed as 2²

27 can be expressed as 3³

16 can be expressed as 4²

my best guess is that next one is minus 5³ = -125

edit: technically the given steps can be expressed as

(-1)³

(-2)²

(-3)³

(-4)²

somewhat nicer pattern there

Answer:

D 10 to 15 is the answer correct

Answer:

12 km

Step-by-step explanation:

--------------------------------

time out + time back = total time

d/5 + d/4 = 5.4

multiply both sides by 20 to clear the fractions

4d + 5d = 108

9d = 108

Divide both sides by 9

d = 12 km

Answer:

think it's the last one

Step-by-step explanation:

sorry if i'm wrong

1. 8^3 * 8^2, 8^5, and (2^3)^5

2. 6^9, and 6^5 x 6^4

Answer:

8+2√6x / 8-3x

Step-by-step explanation:

yes