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Nataly [62]
3 years ago
8

Find the length of k.

Mathematics
2 answers:
iren2701 [21]3 years ago
7 0

Step-by-step explanation:

K=4

I think so

have a great day ahead

marshall27 [118]3 years ago
4 0

Answer:

k = 4 \sqrt{3}

The last answer is correct

Step-by-step explanation:

We know that,

\tan(60)  =  \sqrt{3}

So, to find the value of k we can use the tan rule

\tan(60)  =  \frac{o}{a}  \\  \sqrt{3}  =  \frac{k}{4}  \\ k = 4 \sqrt{3}

Hope this helps you

Let me know if you have any other questions:-):-)

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Two professors in the mathematics building have offices that are consecutive odd numbers with a sum of 15,044. what are the offi
AlladinOne [14]
Let one of the number be x
The other number will be x + 2

x + x + 2 = 15044
2x + 2 = 15044
2x = 15044 -2 
2x = 15042
x = 7521
x + 2 = 7521 + 2 = 7523

The office number is 7521 and 7523
6 0
3 years ago
What is a^{-5} simplified?
BARSIC [14]

Answer:

1/a^5

Step-by-step explanation:

a^-5=1/a^5

5 0
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What is the constant of proportionality from the following equation: s = 0.75u
QveST [7]

Answer:

0.75

Step-by-step explanation:

The equation representing direct proportion is

y = kx ← k is the constant of proportionality

s = 0.75u ← is in this form

with k = 0.75

7 0
3 years ago
dante has been putting one peeny in his bank everyday Now he has 161 pennies Hor how many weeks has d
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6 0
3 years ago
Q1: Identify the graph of the equation and write an equation of the translated or rotated graph in general form.
marin [14]

Answer:

C. hyperbola; 9x^2-25y^2-250y-850=0

Step-by-step explanation:

The given conic has equation:

9x^2-25y^2=225

Divide through by 225.

\frac{9x^2}{225}-\frac{25y^2}{225}=\frac{225}{225}

\frac{x^2}{25}-\frac{y^2}{9}=1

This is a hyperbola centered at the origin.

The hyperbola has been translated from the origin to (0,5).

The translated hyperbola will have equation;

\frac{(x-0)^2}{25}-\frac{(y-5)^2}{9}=1

Multiply through by 225.

9(x-0)^2-25(y-5)^2=225

Expand

9x^2-25(y^2-10y+25)=225

9x^2-25y^2+250y-625=225

Rewrite in general form;

9x^2-25y^2+250y-625-225=0

9x^2-25y^2+250y-850=0

3 0
3 years ago
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