In 8, 9, 10, all the triangles are similar, meaning corresponding sides have the same ratio.
8. hypotenuse / (short side) = 25/x = x/9
x² = 25*9 = 5²×3²
x = √(5²×3²) = 5*3 = 15
9. (long side) / (short side) = x/7 = 9/x
x² = 7*9
x = √(9*7) = 3√7
10. (short side) / (long side) = x/48 = 48/64
x = 48²/64 = 36
Answer:
There are two answers, either of which would work
- 26°, 26° and 128°
- 26°, 77° and 77°
Method:
An isosceles triangle has 2 of the same sides so there are two possible answers:
1) 26° is one of the angles which is the same as another. 26° × 2 = 52° and since there are 180° in a triangle the other angle is 180° - 52° which is 128°. This would make the angles 26°, 26° and 128°
2) 26° is not one of the angles which is the same as another. Since there are 180° in a triangle, the other angles would both be 2 ÷ (180° - 26°) which is 77°. This would make the angless 26°, 77° and 77°
Answer:
24
Step-by-step explanation:
If we want to cover the base of the prism having dimensions 2 cm × 1 cm with 
cm length of cube, then there will be (4 × 2) = 8 cubes that can occupy the base.
Width is 1 cm, so there can fit 2 cubes of length cm and length is 2 cm, where 4 cubes of length cm can fit. So, in total (4 × 2) = 8 cubes of cm length.
Now, height of the prism is 
cm where 3 cubes of length cm can fit.
Therefore, in total there can be (8 × 3) = 24 cubes of cm length. (Answer)
Answer:
60 square feet
Step-by-step explanation:
Area of figure = area of rectangle + area of triangle
Rectangle:
Length = 10 ft
Width = 4 ft
Area = length * width
= 10 * 4
= 40 ft²
Triangle:
Base b = 12 - 4 = 8 ft
Height h = 10 - 5 = 5 ft
= 20 ft²
Area of the figure = 40 + 20 = 60 square feet
Answer:
90° clockwise or 270° counter clockwise
Step-by-step explanation:
