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nevsk [136]
3 years ago
9

Solve the inequality w + 4 < -2

Mathematics
2 answers:
Fantom [35]3 years ago
6 0
Subtract four from each side, which will give you w= -6. This is your answer
Flura [38]3 years ago
5 0
Subtract 4 from each side, and that would mean the answer is w > -6
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Given two vectors A=2i+3j+4k,B=i-2j+3k find the magnitude and direction of sum<br>(physics question)
Law Incorporation [45]

Answer:

Magnitude =\sqrt{59} \\\\Direction \: of \: \overrightarrow{A + B} = \frac{3}{\sqrt {59}} , \:\frac{1}{\sqrt {59}} , \:\frac{7}{\sqrt {59}}

Step-by-step explanation:

A=2i+3j+4k

B=i-2j+3k

Sum of the vectors:

A + B = 2i+3j+4k + i-2j+3k = 3i + j + 7k

Magnitude =\sqrt{3^2 + 1^2+ 7^2} \\\\Magnitude =\sqrt{9+1+49} \\\\Magnitude =\sqrt{59}

Direction of the sum of the vectors:

\widehat{A + B} =\frac{\overrightarrow{A + B}}{Magnitude\: of \:\overrightarrow{A + B}} \\\\\widehat{A + B} =\frac{3i + j + 7k}{\sqrt {59}} \\\\\widehat{A + B} =\frac{3}{\sqrt {59}} i +\frac{1}{\sqrt {59}} j+\frac{7}{\sqrt {59}} k\\\\Direction \: of \: \overrightarrow{A + B} = \frac{3}{\sqrt {59}} , \:\frac{1}{\sqrt {59}} , \:\frac{7}{\sqrt {59}} \\\\

3 0
3 years ago
MiKiyah invested $2,500 in a simple interest account for 2 years. At the end of the 2 years, she has earned $75 in interested. W
forsale [732]

Answer:

if $178 $178 interest was earned in 2 2 years at an interest rate of 4%

Step-by-step explanation:

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3 0
3 years ago
∠EFG and ∠LMN are supplementary angles, m∠EFG=(3x+17)º, and m∠LMN=(12x−5)º.
Ira Lisetskai [31]

Answer:

EFG = 50.6, LMN = 129.4

Step-by-step explanation:

ok so s supplementary angles mean, their angles will always add upto 180. for example if one angle is 100° then the other will be 80°.

to find the angles first we need to solve for x.

we know EFG + LMN = 180 because its supplementary.

that's is (3x+17) + (12x-5) = 180.

we now solve for x;

15x+12 = 180

15x = 168, x= 168/15 = 11.2

now that we know x we can put this value in the corresponding equation of EFG and LMN to find the angles.

EFG = 3x11.2 + 17 = 50.6

LMN = 12x11.2 - 5 = 129.4

7 0
3 years ago
Jack paid $46 for 4 pizzas. How much did he pay per pizze?
77julia77 [94]

Answer:

46÷4 = 11.5

so tha answer is $11.50

Step-by-step explanation:

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4 0
3 years ago
Read 2 more answers
Use a trigonometric function to find the value of x
Alex17521 [72]

(180-30)/2 would be the equation and the answer is 150/2

5 0
3 years ago
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