Answer:
380
Step-by-step explanation:
The surface of a square pyramid is made up of a single square in the center, and four triangles on the sides. The square's area is 10*10=100, while the area of each of the triangles is 10*14/2=70. Multiplying this by the 4 triangles, you get 280. Adding them together, you get a total of 380 square meters. Hope this helps!
Answer:
<h3>3cm</h3>
Step-by-step explanation:
Area of a triangle = 1/2 * base * height
Given
Area = 7 7/8cm²
Base = 5 1/4 cm
Required
Height of the triangle
Substitute;
7 7/8 = 1/2 * 5 1/4 * Height
63/8 = 1/2 * 21/4 * h
63/8 = 21H/8
63 = 21H
H = 63/21
H = 3cm
Hence the length of h is 3cm
The answer is thirtyfour.
<h3>
Answer: y = 5</h3>
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Explanation:
For any rectangle, the diagonals are always the same length. We can use congruent triangles to prove this.
This means AC = BD.
Also, the diagonals of a rectangle cut each other in half (bisect). This indicates the following two equations
We'll use that second equation along with BP = -2x+23 and DP = 3y-6 to form the equation -2x+23 = 3y-6. This will be used later.
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By the segment addition postulate, we know that
BP+DP = BD
(-2x+23)+(3y-6) = BD
BD = -2x+3y+17
Since the diagonals are equal, we also know that AC = -2x+3y+17
We are given that AC = 2x+4
Equating the two right hand sides leads to the equation 2x+4 = -2x+3y+17
---------------
The conclusion of each the last two sections was the following two equations
- -2x+23 = 3y-6
- 2x+4 = -2x+3y+17
We have two equations and two unknowns. We have enough info to be able to find x and y.
Let's isolate 3y in the first equation
-2x+23 = 3y-6
3y-6 = -2x+23
3y = -2x+23+6
3y = -2x+29
Then we can plug this into the second equation
2x+4 = -2x+3y+17
2x+4 = -2x+(3y)+17
2x+4 = -2x+(-2x+29)+17 .... replace 3y with -2x+29
Now solve for x
2x+4 = -2x+(-2x+29)+17
2x+4 = -2x-2x+29+17
2x+4 = -4x+46
2x+4x = 46-4
6x = 42
x = 42/6
x = 7
We then use this to find y
3y = -2x+29
3y = -2(7)+29
3y = -14+29
3y = 15
y = 15/3
y = 5
So you want to remember PEMDAS.
So first you would do the exponents and the square roots. Since the -3 isn't in a parenthesis it would be -9. -9 x 4 divided by 2 / 3 - 4
Next you want to do the multiplication and then division in the numerator and just solve the denominator. it would look like this: -18 / -1 which is 18
then the cube root of 25 is a weird number so just leave it in that form and multiply which is 52.63 rounded
hope this helps!
