Answer:
36
Step-by-step explanation:
make proportion giants to elves
120/144 = 90/x cross multiply
120x =144*90
120x =12960 divide by 120
x = 108
so if there are 90 giants in the theater there are 108 elves also
considering that total 144 elves can be in the theater subtract 144 and 108 so 36 more elves can be admitted
To solve this we need to form 2 equations with only 2 variables.
x+4y-5z=-7
2x+y+5z=8
3x+5y=1
15x+10y+15z=35
6x+3y+15z=24
9x+7y=11
Now we need to use these to find x and y
9x+15y=3
9x+7y=11
8y=-8
y=-1
Therefore:
x=2
From this we can find that:
2(2)-1+5z=8
Therefore z=1
The answer is x=2, y=-1, z=1
The required diameter of dwarf planet is
.
<h3>What is a statement?</h3>
A statement is a declarative sentence that is either true or false but not both. A statement is sometimes called a proposition. The key is that there must be no ambiguity. To be a statement, a sentence must be true or false, and it cannot be both.
Given:
The given statement is the diameter of 3 planet is
planet A=
= 1000000000m
planet B=
=10000000m
planet C=
=100000000m
According to given question we have
A dwarf planet is discovered with a radius is 1/100 times of radius of planet C.
Radius of planet C =100000000/2= 50000000m
Radius of dwarf planet = 1/100 times of radius of planet C.
Radius of dwarf planet = 1/100 * 50000000m
Radius of dwarf planet = 500000 m=
Diameter of dwarf planet =2*500000 m=1000000 m=
Therefore, the required diameter of dwarf planet is
.
Learn more details about statement here:
brainly.com/question/2285414
#SPJ1
Answer:
- Scale factor = 1/2 and x = 18
Step-by-step explanation:
<u>Given:</u>
- ΔABC ~ ΔDEF
- AB = 36. BC = 30
- DE = x, EF = 15
- m∠B = m∠E = 72°
<u>Corresponding sides are:</u>
<u>Corresponding sides have same ratio:</u>
- AB/DE = BC/EF
- 36/x = 30/15
- x = 36/2
- x = 18
<u>The scale factor is:</u>
Answer:
The professor takes home $1,607.30
Step-by-step explanation:
You can find this by simply subtracting the deductions from her monthly pay.
2,149.74 - 307.34 - 161.25 - 73.85 = 1,607.30