Answer:
ABC dilated
Step-by-step explanation:
Given
Triangles ABC and DEF
Required
Determine the scale of dilation
First, we pick a side on ABC
Pick a corresponding side on DEF
The scale factor is then calculated as:
i.e. ABC was dilated by 1/2
The answer is 10 pounds.
I set up a proportion of 10 / 0.01 = 10000 / x.
Cross-multiply to get 10x = 10000(0.01). Simplify to get 10x = 100. Divide by 10 to isolate the variable.
x = 10. 10000 samples would weigh 10 pounds.
Answer:
370
Step-by-step explanation:
The venn diagram corresponds to students who were sick in January at a Chicago high school.
Students who had only fever= n(A) = 80
Students who had only headache= n(B) = 90
Students who had only cough = n(C) =60
Students who had both cough and fever = n(AC) = 10
n(AB) = 40:n(BC) = 30 n(ABC) = 20
Hence total students = 800
no of students who were absent due to other reasons = 100
REmaining students = 700
Students who were sick = sum of all =330
So no of students who were at school = 700-330 = 370
Answer:
94 cm^2
Step-by-step explanation:
The surface area of a rectangular prism can be found using:
A=2(wl+hl+hw)
We know the width is 3, the height is 5, and the length is 4. We can substitute 3 in for w, 5 in for h, and 4 in for l.
A=2((3*4)+(5*4)+(5*3))
Multiply 3 and 4
A=2(12+(5*4)+(5*3))
Multiply 5 and 4
A=2(12+20+(5*3))
Multiply 5 and 3
A=2(12+20+15)
Add 12 and 20 and 15
A=2(47)
Multiply 2 and 47
A=94
So, the the surface area is 94 cm^2
Answer:
Step-by-step explanation:
3 envelopes having 2 red card
2 envelopes having 1 red card and 1 black card
1 envelope having 2 black cards
We are given that . An envelope is selected at random and a card is withdrawn and found to be red.
So, No. of ways of envelope having red card = 3+2 = 5
No. of required ways of envelope having 1 red card and 1 black card = 2
So, probability of getting an envelope having 1 red card and 1 black card =
Hence The chance the other card is black is
