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SSSSS [86.1K]
2 years ago
9

The diameter of a circle is 12 1/3 inches.

Mathematics
2 answers:
KiRa [710]2 years ago
6 0

Answer:

6 1/6 took da test

Step-by-step explanation:

qaws [65]2 years ago
5 0

Answer:

The radius is 6 1/6

Step-by-step explanation:

The radius is half of the diameter and 12 1/3 divided by 2 = 6 1/6

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At a schools field day, students will throw table tennis balls then measure the distance. There are 626 students in the school.
qaws [65]

Answer: 105 packs

Step-by-step explanation: The correct answer is 105 packs of table tennis balls. You need a total of 626 balls, so you divide this by 6 because that is what a standard package contains. The formula is 626/6 = 104.3. You will need 104 packs plus .3 of a pack, which means that you need to round it up to 105 packs of table tennis balls.

4 0
3 years ago
Which description of the vector shown is correct ?
BartSMP [9]

Answer:

(B) The magnitude is 7sqrt2, and the direction angle is approximately 135 degrees.

Step-by-step explanation:

From the figure, the coordinate of the tail of the vector,

(x_1,y_1)=(3,-6).

The coordinate of the head of the vector,

(x_2,y_2)=(-4,1).

The magnitude of a vector is the length between the head and tail of the vector.

By using the distance formula,

the magnitude of the vector = \sqrt{(1-(-6))^2+(-4-3)^2}

=\sqrt{(7^2+(-7)^2}\\\\=\sqrt{98}\\\\=7\sqrt{2}

Now, let \theta be the angle made by the vector with the positive direction of the x-axis, so

\tan\theta = \frac{y_2-y_1}{x_2-x_1}\\\\\Rightarrow \tan\theta = \frac{1-(-6)}{-4-3}=\frac{7}{-7}=-1 \\\\\Rightarrow \theta = \tan^{-1}(-1) \\\\\Rightarrow \theta =\pi- \tan^{-1}1 \\\\\Rightarrow \theta = \pi-\frac{\pi}{4} \\\\\Rightarrow \theta =\frac{3\pi}{4} \\\\\Rightarrow \theta = 135 ^{\circ}.

So, the magnitude of the vector is 7\sqrt 2 which makes 135 ^{\circ} with the positive direction of the x-axis.

Hence, option (B) is correct.

8 0
3 years ago
Read 2 more answers
Una torre de 28.2 m de altura esta situada a la orilla de un rio, desde lo alto del edificio el ángulo de depresión a la orilla
Svet_ta [14]

Answer:

El ancho del río es 59.9 metros.

Step-by-step explanation:

El ancho del río lo podemos calcular con la siguiente relación trigonométrica asumiendo que la torre forma un triángulo rectángulo con el río:

tan(\theta) = \frac{CO}{CA}

En donde:

CA: es el cateto adyacente = Altura de la torre = 28.2 m

CO: es el cateto opuesto = ancho del río =?

θ: es el ángulo adyacente a CA

Dado que el ángulo de depresión (25.2°) está ubicado fuera de la parte superior de la hipotenusa del triángulo que forma la torre con la orilla opuesta del río, debemos calcular el ángulo interno (θ) como sigue:

\theta = (90 - 25.2)^{\circ} = 64.8 ^{\circ}

Ahora, el ancho del río es:

CO = tan(\alpha)*CA = tan(64.8)*28.2 = 59.9 m

Por lo tanto, el ancho del río es 59.9 metros.

Espero que te sea de utilidad!                  

4 0
2 years ago
Owners of 800 homes in a subdivision list their houses, on average, every eight years. If a sales associate farms that neighborh
Gekata [30.6K]

Answer:

20 homes

Step-by-step explanation:

Given that :

Total number of homes = 800

Average years at which homes are listed = 8 years

To obtain the annual home listing = total number of Homes / average years

Annual home listing = 800 / 8

Annual home listing = 100 homes

If 20% of the homes are listed on the year in question :

20% of 100 homes

0.2 * 100

= 20 homes

20 homes can be listed that year

6 0
2 years ago
What is 8x -5+2 x simplified
IgorC [24]

8x -5+2 x

8x+2x-5 ( combine like terms)

answer:

10x-5 or -5+10x

8 0
3 years ago
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