Answer:
8 inches.
Step-by-step explanation:
From the statement we have that they first made two identical square pyramids, each with a base area of 100 square inches.
Ab = s ^ 2 = 100
Therefore each side would be:
s = (100) ^ (1/2)
s = 10
So, side of the square base = 10 inches
Then they tell us that they glued the bases of the pyramids together to form the precious stone. The surface area of the gemstone is 520 square inches, so for a single pyramid it would be:
Ap = 520/2 = 260
For an area of the square pyramid we have the following equation:
Ap = 2 * x * s + s ^ 2
Where x is the height of each triangular surface and s is the side of the square base
Replacing we have:
260 = 2 * x * 10 + 10 ^ 2
20 * x + 100 = 260
20 * x = 160
x = 160/20
x = 8
Therefore, the value of x is 8 inches.
Answer:
sorry if this is confusing
Step-by-step explanation:
16 miles = 12 miles
------------ ----------------
20 mins. how many mins?
16 = 12 cross multiply 16? = 240 divide by 16 240 divided by 16 = 15 miles
20 ? because 15 x 16 = 240
<em><u>Convert to factored form is:</u></em>
<em><u>Solution:</u></em>
Given that,
We have to convert to factored form
Factored form means writing terms in multiplication. i.e as a product
From given,
Factor out x from above given expression
Here, the given equation is written as product of "x" and (x + 6)
Thus the factored form is found
Answer:
The ceiling is lower than 3 meters.
Step-by-step explanation:
In the above, the product is <em>less than</em> 3. In this case, it will not include 3 as a choice, as if it would, the 
would be used.
This means that x would be any number that is less than 3. The only choice that gives a choice that means less than by the terms definition is A) The ceiling is lower than 3 meters.
~
Gradient is the slope, which is the letter m in the equation.
The point is written as (x1, y1) so replace x1 and y1 in the equation with the numbers in the given point.
A would be y - 1= 2(x-4)
B: y +5 = 5(x-2)
C: y-1= -3(x+1)
D: y -6 = 1/2(x-1)
E: y +1/4 = -2(x-3:4)
F: y+7 = -1/5(x+ 3)
