Answer:
equation of the table is y=30x+60
60 degrees is what the temperature starts at
to get to 440 degrees he needs 12 minutes and 40 seconds
Step-by-step explanation:
the change in y over change in x is 90/3 which is the slope
slope is 30
if slope is 30 then 30*2+b=120 60+b=120 so b=60 and it is the y intercept
440=30x+60
380=30x
x=12 2/3
x= 12 minutes and 40 seconds
Answer:
532m squared is the answer
Step-by-step explanation:
Split the shape into two shapes
one will be a square and the other one a triangle
1) since the length and the width of the square is 18m just Multiply
18x18=324m squared
2) look carefully the width of the square you split is equal to the base of the triangle, so you connect the 18 and the 8 together.
18+8=26m squared
3) Now solve the triangle since you know the height which is 16m squared.
A=lw/2
26x16=416
416 divided by 2 is 208
4) finally just Add
208+324=532m squared
Hopes this helps!
answers
1) 70
2) 3,840
3) 24
4) 72
<u>Explanation</u>
Q1
The surface area of a cone is given by;
S.A = 2Πrl + Πr²
Where r is the radius of the base and l is the lateral height.
Πr² = area of the base = 20 in²
2Πrl = Area of the lateral surface
= 2.5 × 20
= 50
Area of the cone = 50 + 20
= 70 in²
Q2
The sides of the Pythagorean triangle with legs of 12 and 16.
The 3rd side will be;
c = √(12² + 16²)
= √400 = 20
Volume = 12 × 16 × 20
= 3,840
Q3
The volume of a cone is given by;
volume = 1/3 Π r² h
This shows that the volume of a cone is a third the volume of the cylinder.
∴ Volume of the cylinder = 12 × 3
= 24 ft³
Q4
The volume of any regular figure is;
Volume = base area × height
When the dimensions area usually 3. Let these dimensions be x, y and z.
∴ volume = x × y × z = 9
Doubling the dimensions;
Volume = 2x × 2y × 2z = 2 × 2 × 2 × 9
= 8 × xyz = 8 × 9
= 72 ft²
Line 3
since he added which is against the order of opreation rule he was supposed to multiply first then add
again what he was supposed to do is
Line 2:21+5+6(2)
Line 3:21+5+12
Answer:
option B
Given : |x + 4| < 5
A. –5 > x + 4 < 5
B. –5 < x + 4 < 5
C. x + 4 < 5 and x + 4 < –5
D. x + 4 < 5 or x + 4 < –5
In general , |x|< n where n is positive
Then we translate to -n < x < n
|x + 4| < 5
5 is positive, so we translate the given absolute inequality to
-5 < x+4 < 5
So option B is correct
