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2 years ago

12

What’s interval notation of the real numbers from 0 to 25

1 answer:

Evgesh-ka [11]2 years ago

8 0

25 22223hdhdjdhdndnfndnfn

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In his pocket , a boy has 3 red marbles, 4 blue marbles , and 4 green marbles. how many will he have to take out of his pocket t

Ira Lisetskai [31]

9 before he can be sure he has a red one

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2 years ago

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6700 dollars is placed in an account with an annual interest rate of 8%. How much will be in the account after 24 years, to the

daser333 [38]

$\bf \qquad \textit{Simple Interest Earned Amount}\\\\
A=P(1+rt)\qquad 
\begin{cases}
A=\textit{accumulated amount}\\
P=\textit{original amount deposited}\to& \$6700\\
r=rate\to 8\%\to \frac{8}{100}\to &0.08\\
t=years\to &24
\end{cases}
\\\\\\
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Find the solutions for a triangle with a = 16, c =12, and B = 63º.

maks197457 [2]

Answer:

b. A = 71.6°; C = 45.40°; b =15.0

Step-by-step explanation:

The missing values can be found with the help of the Law of Cosine and properties of triangles:

Side b (Law of Cosine)

$b = \sqrt{a^{2}+c^{2}-2\cdot a \cdot c \cdot \cos B}$

$b = \sqrt{16^{2}+12^{2}-2\cdot (16)\cdot (12) \cdot \cos 63^{\circ}}$

$b \approx 15.022$

Angle A (Law of Cosine)

$\cos A = -\frac{a^{2} - b^{2}-c^{2}}{2\cdot b \cdot c}$

$\cos A = - \frac{16^{2}-15.022^{2}-12^{2}}{2\cdot (15.022)\cdot (12)}$

$\cos A = 0.315$

$A= \cos^{-1} 0.315$

$A \approx 71.639^{\circ}$

Angle C (Sum of internal angles in triangles)

$C = 180^{\circ} - 63^{\circ} - 71.639^{\circ}$

$C = 45.361^{\circ}$

Hence, the right answer is B.

6 0

2 years ago

HEY YOU!! PLEASE I NEED HELPPP<br><br> find angle BAC and angle FAB

serious [3.7K]

Answer:

m∠BAC = 105°

m∠FAB = 75°

Step-by-step explanation:

By using the property of an exterior angle of a triangle,

Measure of an exterior angle is equal to the sum of opposite two angles of a triangle.

From the triangle given in the picture,

m∠ABC + m∠BCA + m∠CAB = 180°

(13x - 3)° = (3x + 2)° + 55°

13x - 3 = 3x + 57

13x - 3x = 57 + 3

10x = 60

x = 6

m∠FAB = (13x - 3)° = 75°

m∠ABC = (3x + 2)° = 20°

Since, ∠BAC and ∠FAB are the linear pair of angles,

m∠BAC + m∠FAB = 180°

m∠BAC + 75° = 180°

m∠BAC = 180° - 75° = 105°

8 0

2 years ago

there’s 13 snakes 11 lizards 7 turtles 8 tortoises how many fewer turtles and tortoises than snakes and lizard

Anna [14]

Answer: 9 fewer

Step-by-step explanation:

Add 13 and 11 which gives you 24. Then add 8 and 7 which gives you 15. Then subtract 24 - 15 which gives you a difference of 9.

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2 years ago