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3 years ago

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Six years ago Deki was P times as old as Benita was. If Deki is now 17 years old, how old is

1 answer:

wolverine [178]3 years ago

8 0

Answer:

A) 11/P + 6

Let Ben’s age now be B

Anita’s age now is A.

(A - 6) = P(B - 6)

But A is 17 and therefore 11 = P(B - 6)

11/P = B-6

(11/P) + 6 = B

please make as brainleylist

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What value of x is in the solution set of 3(x-4) ≥ 5x+2

Sunny_sXe [5.5K]

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Step-by-step explanation:

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4 years ago

In a certain class, 3 out of 24 students are in student organizations. What is the ratio of students in student organizations to

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3 years ago

Calculate the angle between (2,2,4) and (2,-1,1). The result is a familiar angle, so the answer is to be given exactly.

andrew-mc [135]

Answer:

The angle between $(2,2,4)$ and $(2,-1,1)$ is 60º.

Step-by-step explanation:

From linear algebra, we can determine the angle between both vectors by definition of dot point:

$\cos \theta = \frac{\vec u\bullet \vec v}{\|\vec u\|\cdot \| \vec v\|}$ (1)

Where:

$\vec u$ , $\vec v$ - Vectors.

$\|\vec u\|$ , $\|\vec v\|$ - Norms of vectors.

$\theta$ - Angle between vectors, measured in sexagesimal degrees.

If we know that $\vec u = (2,2,4)$ and $\vec v = (2,-1,1)$ , then angle between vectors is:

$\|\vec u\| = \sqrt{\vec u\bullet \vec u}$ (2)

$\|\vec u\| = \sqrt{2^{2}+2^{2}+4^{2}}$

$\|\vec u\| \approx 4.899$

$\|\vec v\| = \sqrt{\vec v\bullet \vec v}$ (3)

$\|\vec v\| = \sqrt{2^{2}+(-1)^{2}+1^{2}}$

$\|\vec v\| \approx 2.450$

$\vec u \bullet \vec v = (2,2,4)\bullet (2,-1,1)$

$\vec u \bullet \vec v = 4-2+4$

$\vec u \bullet \vec v = 6$

$\cos \theta = \frac{6}{(4.899)\cdot (2.450)}$

$\cos \theta = 0.5$

$\theta = 60^{\circ}$

The angle between $(2,2,4)$ and $(2,-1,1)$ is 60º.

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3 years ago

What is 66 tens +20 tens

dimaraw [331]

Answer:

860.

Step-by-step explanation:

66 x 10= 660

20 x 10= 200

660+200= 860.

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3 years ago

Read 2 more answers

I need help with this ASAP please just a,b,c

Ulleksa [173]

A15,15,15 B from the top15,1,45,3,15 C 30,2,30,2,15

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3 years ago