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andre [41]
3 years ago
11

Solve the inequality and Graph the solution. -3x-4<19 PLEASE HELP!!!

Mathematics
1 answer:
Alisiya [41]3 years ago
7 0
-3x-4<19
19+4=23
3x<23
÷3 ÷3
×= > 23/3 or 7.6^87
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The total cost of n shirts is $15. The shirts are priced at a constant rate of $3 each.
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3*x=15

Step-by-step explanation:

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When you have a scale factor as percentage, is better to convert that percentage into a fraction by divide it by 100%. That way, it will be much easier to scale your figures.

1. 
The scale factor we need to apply to our rectangle is 60%. Firts, lets convert our scale factor into a fraction: \frac{60}{100} = \frac{3}{5}. Next, we just need to multiply each side of our rectangle by our fraction:
length=16( \frac{3}{5})=9.6
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So, our new rectangle will have a length of 9.6 units and a width of 4.8 units.

2. This time the scale factor is 120%. Just as before, lets convert it into a fraction: \frac{120}{100} = \frac{6}{5}, and just as before lets multiply each side of our triangle by our fraction:
base=10( \frac{6}{5} )=12
side=8( \frac{6}{5} )=9.6
So, our new isosceles triangle will have a base of 12 units and tow sides of length 9.6 units each.

3. This time the scale factor is 150%. Just as before, lets convert it into a fraction: \frac{150}{100} = \frac{3}{2}, and just as before lets multiply each side of our polygon by our fraction:
12( \frac{3}{2} )=18
15( \frac{3}{2} )=22.5
13( \frac{3}{2} )=19.5
So, our new polygon will have a side of 12 length units, tow sides of 15 length units, and two side of 15 length units.

4. This time our factor is 75%. Just as before, lets convert it into a fraction: \frac{75}{100} = \frac{3}{4}, and just as before lets multiply each side of our parallelogram by our fraction:
side=25( \frac{3}{4} )=18.75
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3 years ago
Question 1<br> Simplify<br> √-100?
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Answer:

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i√10

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Step-by-step explanation:

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3 0
2 years ago
A basketball gymnasium is 25 meters high, 80 meters wide and 200 meters long. We want to connect two strings, one from each of t
Rudiy27

Answer:

a) the centre is at (12.5 m, 40 m , 100 m ) with respect to our position

b) the length of the strings S will be 216.85 m

c) the angle that is formed by the strings is  1.23 rad

Step-by-step explanation:

assuming that we stand on one of the corners on the floor , so our coordinates are (0,0,0)  , then the coordinates of the center of the gymnasium   are found through

x center = (25 + 0)/2 = 12.5 m

y center = (80+ 0)/2 = 40 m

z center = (200+ 0)/2 = 100 m

then the centre is at (12.5 m, 40 m , 100 m ) with respect to our position

b) the length of the strings S will be the modulus of the vector that points from our position to the diagonally opposite corners

|S| = √(25²+80²+200²) = 216.85 m

c) the angle can be found through the dot product of the vectors that represent the strings S₁ and S₂

S₁ =(25,80,10)

S₂ =(-25,80,100)

then

S₁*S₂ = 25*(-25) +80*80 + 100*100 = 15775

but also

S₁*S₂ = |S₁||S₂| cos θ = |S|² * cos θ

S₁*S₂ =  |S|² * cos θ

cos θ= S₁*S₂/|S|²

θ= cos ⁻¹ ( S₁*S₂/|S|² ) = cos ⁻¹ [15775/(25²+80²+200²)] = 1.23 rad

7 0
2 years ago
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