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BARSIC [14]
2 years ago
7

Please help me! 7 points!! I don’t understand

Mathematics
1 answer:
SVETLANKA909090 [29]2 years ago
5 0

This is adding two vectors, one magnitude 300 direction east, and one magnitude 100 direction 30 degrees northeast.

For the resulting sum we can use the Law of Cosines or just add up the components.  Let's try it both ways.

Components first.   In the east direction we have

300 + 100 cos 30° = 300 + 100(√3/2) = 386.60 miles per hour

In the north direction we have

0 + 100 sin 30° = 100 (1/2) =  50 miles per hour

So a total speed of

sqrt{386.6^2 + 50^2} = 389.82 miles per hour

Answer: 389.82

--------

OK let's try the Law of Cosines.   We have sides 300 and 100 and included angle 150°.

c^2 = 300^2 + 100^2 - 2 (300)(100) \cos 150^\circ

c=\sqrt{151961.52422} = 389.82 \quad\checkmark

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Consider the roots of a cubic equation with integral coefficients: −1, −4, and 3. Which choice is a factor of the cubic equation
mash [69]

Answer:

D

Step-by-step explanation:

Lets go case by case.

Given the roots, a factor will be part of the equation if for some of the roots the factor becomes null, i.e., equal to 0.

Is there any root that makes (x+3)=0? No, as it only becomes 0 for x = - 3 and -3 is not a root. So A NO!

Is there a root that makes (x-1)=0? No, as it only becomes 0 for x=1 and 1 is not a root. So B NO!

(x-4)=0 only for x=4, and as 4 is not a root, C NO!

The last, (x-3)=0 if x=3. As 3 is one of the roots, (x-3) is a factor of our equation!

D is the only correct option!

5 0
2 years ago
I need the answer as fast as i can get it!
blondinia [14]

Answer:

The answer should be choice D.

HOPE THIS HELPS! :)

7 0
3 years ago
Find the base of a parallelogram with the area of 60 in.² and height of 4 inches use the formula for the area of the parallelogr
Alexxx [7]
A = bh
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60/4 = b
b = 15 inches

Hope this helped!
7 0
3 years ago
What is the x-intercept of the line with this equation? <br><br>−5x + <img src="https://tex.z-dn.net/?f=%5Cfrac%7B1%7D%7B5%7D" i
Sonja [21]
The x-intercept is the point on the graph where it crosses the x-axis. It’s also the value of the x-coordinate when y = 0.

To find the x-intercept, set y = 0:

-5x + 1/5(0) = 15

-5x + 0 = 15
-5x = 15

Divide both sides by -5:

x = -3.

Therefore, the x-intercept is (-3, 0).

Please mark my answers as the Brainliest if your find my explanations helpful :)
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2 years ago
en una guardería ay una matricula de 50 lactantes de los cuales 20 son niñas cual es la razon de niñas a niños en dicha guarderi
Svetradugi [14.3K]

Answer:

La razón de niñas a niños en la guardería es de 2 niñas por cada 3 niños.

Step-by-step explanation:

Una razón es una división entre dos números, generalmente en forma racional (fraccionaria). La razón de niñas a niños en la guardería es la cantidad de niñas dividida por la cantidad de niños de la dicha guardería, Es decir:

x = \frac{20}{30}

x = \frac{2}{3}

La razón de niñas a niños en la guardería es de 2 niñas por cada 3 niños.

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2 years ago
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