Answer:
35
Step-by-step explanation:
-5{3-2[1-4(3-2^2)]}
we work inside out
using PEMDAS
parenthesis, exponents, multiply and divide, add and subtract
the very most inside
(3-2^2)
do the exponents
3 - 4 = -1
replace where it was in the original equation
-5{3-2[1-4(-1)]}
take the next set of parenthesis (bracket are the same as parenthesis)
[1-4(-1)]
multiply
4*-1 = -4
1--4 = 1+4 = 5
replace where it was in the original equation
-5{3-2[5]}
next set of parenthesis
{3-2[5]}
3 - 10 = -7
replace where it was in the original equation
-5 {-7}
35
367 it’s also equivalent to 338
Answer:
<u>372 ft</u>
Step-by-step explanation:
This can be solved through cross multiplication.
310ft/10sec= x/12sec
Multiply the values across from each other. (A good way to know you've done it properly is if the numbers you multiplied are in different measurements. ex: 1 value is feet, the other is seconds)
310 x 12 = 3720
Divide by the remaining value.
3720 / 10 = 372
Density = mass/volume
Volume = length x width x height
Volume = 2.5 x 2.5 x 2.5
= 15.625 cm^3
Density = 295/15.625
= 18.88 g/cm^3
Answer:
Part 1) The ratio of the perimeter of ΔHKO to the perimeter of ΔFGO is 
Part 2) The ratio of the area of ΔKHO to the area of ΔGFO is 
Step-by-step explanation:
Part 1)
we know that
If two figures are similar , then the ratio of its perimeters is equal to the scale factor
In this problem
Triangles HKO and FGO are similar by AAA Theorem
Find the scale factor
The scale factor is equal to the ratio of its corresponding sides
Part 2) Find the ratio of the area of ΔKHO to the area of ΔGFO
Area of ΔKHO
Area of ΔGFO
The ratio of its areas is equal to
Alternative Method
If two figures are similar, then the ratio of its areas is equal to the scale factor squared
In this problem we have that
The scale factor is
so
squared the scale factor
----> is correct
