Solutions
To solve this problem we have to use the Pythagorean theorem. You can only use the Pythagorean theorem in Right Triangles. The longest side of the triangle is called the "hypotenuse". C² is the longest side so it is the hypotenuse . To calculate c² we have to do α² + β² = c².
Given
One leg of a right triangular piece of land has a length of 24 yards. They hypotenuse has a length of 74 yards. The other leg has a length of 10x yards.
First leg (24 yards) would be α
Second leg would be β
Hypotenuse (74 yards) would be c
Now we have points α β c.
a² (24) + β² ( x ) = c² (74)
Calculations
c² = α² + β²
74² = 24²+ β²
<span>5476 = 576 + </span>β²
5476 - 576 = β²
<span> </span>
<span>4900 = </span>β²
→√4900
<span> </span>
β<span> = 70 yards
</span>
<span>70 = 10x
</span>
<span>x = 70</span>÷<span>10 = 7 yards
</span>
The second leg = 7 yards
Answer:
C
Step-by-step explanation:
Total of 40 cups and 25 of them are chocolate so the proportion for chocolate would be 25/40
Answer:
1.25
Step-by-step explanation:
it is what it is
Answer:
1. a) 8 cm × 8 cm = 64 sq cm
b) (64 cm²) × 6 squares = 384 sq cm
2. 152 sq cm
Step-by-step explanation:
1. The area of any rectangle is the product of its length and width. For a square, length and width are the same. The square faces of your die have length and width of 8 cm, so the area is (8 cm) × (8 cm) = 64 sq cm.
A cube has 6 faces of identical size, so the total surface area is 6 times the area of one face. Your cube's surface area is 6 × 64 sq cm = 384 sq cm.
___
2. A rectangular prism (cuboid) has 6 faces—3 pairs that are the same size. The area is the total of the areas of these pairs of faces. It can be computed by ...
A = 2(LW + WH + LH)
For your rectangular prism, this is ...
A = 2((8 cm)×(6 cm) + (6 cm)×(2 cm) + (8 cm)×(2 cm))
= 2(48 sq cm + 12 sq cm + 16 sq cm)
= 2×(76 sq cm)
= 152 sq cm
