Answer :
6. x=28
7.x =6
8. x =9
9. x =9
Step-by-step explanation:
6.
(x+2)/10 = 3
Cross multiply
x+2 = 10 ×3
x+2 =30
Collect like terms and simplify
x =30-2
x = 28
7.
8x +9 -5x= 27
Collect like terms and simplify
8x-5x =27-9
3x =18
Divide both sides of the equation by 3
3x/3 = 18/3
x = 6
8.
10x+8=8x+26
Collect like terms
10x-8x=26-8
2x = 18
Divide both sides of the equation by 2
2x/2 = 18/2
x = 9
9.
2(x-5)+4x=x+35
Use 2 to open the bracket
2 × x =2x
2×(-5) =-10
2x-10+4x =x+35
Collect like terms and simplify
2x+4x-x = 35+10
5x = 45
Divide both sides of the equation by 5
5x/5 = 45/5
x =9
The surface area of square pyramid is 64 ft²
What is square pyramid?
In terms of geometry, a square pyramid is a pyramid with a square base and four lateral faces. A pyramid is a type of polyhedron with three or more triangular faces that meet above its base (the apex). A square pyramid is a pentahedron, a three-dimensional shape with a total of five faces. The Great Pyramid of Giza is a well-known example of a real-life pyramid. When we learn about pyramids, we must also learn other concepts that are related to them, such as the volume and area of the pyramid. In this article, we will learn what a square pyramid is, its types, characteristics, surface area formulas, and volume formulas with numerous examples and solutions.
For a square pyramid, the surface area is given by the following equation:
SA = a^2 + 4(a)(h)
where a is the side length of the base and h is the slant height.
In this case, a = 4 and h = 3. Therefore,
SA = 4^2 + 4(4)(3)
SA = 16 + 48
SA = 64 ft^2
To learn more about square pyramid
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Answer:
1.6 =x
Step-by-step explanation:
tan theta = opposite side/ adjacent
tan 37 = x /2.1
Multiply each side 2.1
2.1 tan 37 = x/2.1 * 2.1
2.1 tan 37 = x
1.582463505 =x
To the nearest tenth
1.6 =x
Answer:
x + a + 2
Step-by-step explanation:
g(a) = a² + 2a
g(x) - g(a) = x² + 2x - a² - 2a
= x² - a² + 2x - 2a
= (x - a)(x + a) + 2(x - a)
= (x - a)(x + a + 2)
[g(x) - g(a)] ÷ (x - a)
= x + a + 2