Answer:
w = -15
Step-by-step explanation:
-5w = 7 - 4w + 8
Grouping like terms together,
-5w+4w = 7+8
-w = 15
w = -15
Answer: 5 inches
Step-by-step explanation:
Given: Volume of clay = 48 cubic inches
If we make a solid square right pyramid with a base edge a= 6 inches.
Then its base area = 
we know that volume of square right pyramid=
Therefore, volume of square right pyramid made by all of clay==48 cubic inches
![\Rightarrow\frac{1}{3}\times\ (36)\times\ h=48\\\Rightarrow12h=48\\\Rightarrow\ h=4\ inches.....\text{[Divide 12 on both sides]}](https://tex.z-dn.net/?f=%5CRightarrow%5Cfrac%7B1%7D%7B3%7D%5Ctimes%5C%20%2836%29%5Ctimes%5C%20h%3D48%5C%5C%5CRightarrow12h%3D48%5C%5C%5CRightarrow%5C%20h%3D4%5C%20inches.....%5Ctext%7B%5BDivide%2012%20on%20both%20sides%5D%7D)
Now, slant height 
The slant height of the pyramid if Helen uses all the clay=5 inches
Answer:
A=28.13 Sq Ft
Step-by-step explanation:
Given that the length of the garden = 4.5 ft
Breadth of the garden = 6.25 ft
Area is given by the formula
A=length x breadth
A=4.5 x 6.25 sq ft
A= 28.125 sq ft
Here if we round the area to the nearest hundredth, the area will be
A=28.13 Sq Ft
45/5 = 9 jams a day
x/7 = 9
x= 63 jams a day
Hope this helps!
Answer:
DG = 30
Step-by-step explanation:
Given:
DH = 6
DE = 4
EF = 16
Required:
DG
Solution:
DG = DH + HG
DG = 6 + HG
Let's find HG
Given that HE is parallel to the third side of ∆DGF, based on the side-splitter theorem, the other two sides of ∆DGF are divided proportionally.
Therefore,
DH/HG = DE/EF
6/HG = 4/16
Cross multiply
HG*4 = 16*6
HG = 96/4
HG = 24
✔️DG = 6 + HG
DG = 6 + 24
DG = 30
