Answer:
Shorter piece length is 18 inches
Step-by-step explanation:
Let's marked first piece with x and second with y
x + y = 42
Given ratio is x : y = 3 : 4
From this proportion we get
x = 3 c and y = 4 c where c is coefficient of proportionality
when we replace this in initial equation we get
3 c + 4 c = 42 => 7 c = 42 => c = 42/7 = 6 c = 6
x = 3 · 6 = 18 inches and z = 4 · 6 = 24 inches
shorter piece is x = 18 inches
God with you!!!
Answer:
x=8
Step-by-step explanation:
The ratio of a side of PQRS to the corresponding side in TUVW. is 6:4=3:2.
The ratio of RS:VW=3:2. RS=12, and VW=x. 12:x=3:2. 3 multiplied by 4 is 12, so 2 multiplied by 4 is x. So, the makes x=8.
Answer:
C
Step-by-step explanation:
For 3 different side lengths, you need 3 different angles. That eliminates A, B and D.
A: In the case of A, The angles do not add up to 180 so this is not possible. Even if it was, the angles are all the same and the side lengths would be as well.
B: Two angles are the same, therefore, 2 sides will be the same, even though the two sides added together will be larger than the side opposite.
D: Two angles are the same. The angles add to 180. The triangle will have 2 equal sides.
C: Answer. The three given angles add to 180. They are different. Unless the side opposite 93 exceeds the length of the other 2 sides, this forms a triangle with 3 different sides. Using other methods to calculate the answer the other 2 sides do exceed the the base length so everything is fine.
Answer:
Step-by-step explanation:
The formula of a lateral area of a cone:
r - radius
l - slant height
The formula of a surface area of a cone:
We have r= 9mm and l = 17mm. Substitute:
Answer:
1/2.
Step-by-step explanation:
the slope of a line perpendicular to another is the reciprocal of the original lines slope.
