Answer: -133
Step-by-step explanation:
1. 4(-6^2+3)-2(1/2)
v
2. 4(-36+3)-2(1/2)
v
3. 4(-33)-2(1/2)
v v
4. -132-1
v
5. -133
It would be: 20/7 = 2 6/7
In short, Your Answer would be 2 6/7
Hope this helps!
Answer: the length of the base of the banner is 3 meters.
Step-by-step explanation:
Assuming the banner is in the shape of a right angle triangle, we would apply the formula for determining the area of a triangle which is expressed as
Area = 1/2 × base × height
Let b represent the base
The banner is in the shape of a triangle with a height that is 4 times as tall as the base length of the banner. It means that the height of the banner is 4b
If the total area of the banner is 18 square meters, it means that
18 = 1/2 × b × 4b
18 = 2b²
b² = 18/2 = 9
b = √9 = 3 meters
Answer:
Step-by-step explanation:
Find the width as below
- l² + w² + h² = d², where l- length, w- width, h- height, d- the distance between top and bottom corners
Substitute the values and solve for w
- 4² + w² + 12² = 13²
- w² + 160 = 169
- w² = 9
- w = 3 feet
Now find the volume
- V = lwh
- V = 4*3*12 = 144 ft³
Triangles ABC and XYZ are similar, so the corresponding angle to A in XYZ triangle is angle X. We can actually find sin(X) very easily.
Because we know all sides and the right angle, we can use certain formula to find sin(X), like this:
sin(X) = opposite side / hypotenuse = 6/10 = 3/5
sin(X) = sin(A)
The correct answer is sin(A) = 3/5.
