(b) is the answer.
Step-by-step explanation:
By the Pythagorean Theorem,
A² + B² = C²
Where:
A = Length of side 1
B = Length of side 2
C = Hypotenuse
This rule applies to all right-angled triangles.
The length of the hypotenuse of a right-angled triangle is always the largest value.
Therefore, we can test the answers with the equation above.
(a)
8² + 18² = 20²
64 + 324 = 400
388 ≠ 400
The rule of Pythagorean theorem doesn't work on a, so (a) is not a right-angled triangle.
(b)
12² + 35² = 37²
144 + 1225 = 1369
1369 = 1369
The rule of Pythagorean theorem works here, so (b) is a right-angled triangle.
Answer:
5/4 m²
Step-by-step explanation:
Jordan is cutting 2 m by 1 1/4 m piece of rectangular paper into 2 pieces along its diagonal.What is the area of each of the pieces.
Length of the rectangular paper = 2m
width of the rectangular paper = 1 1/4m
Area of a rectangle = Length × width
= 2 × 1 1/4
= 2 × 5/4
= (2 * 5)/4
= 10/4 m²
Area of a rectangle = 10/4 m²
Diagonal divides the rectangle into 2 equal pieces
Divide area of the rectangle by 2
Area of each piece of the diagonal = Area of the rectangle / 2
= 10/4 m² / 2
= 10/4 ÷ 2
= 10/4 × 1/2
= (10*1) / (4*2)
= 10/8
= 5/4 m²
Area of each piece of the diagonal = 5/4 m²
The total cost is $43.5 and it is obtained from the equation c = 6.5n + 25
<u>Solution:</u>
Given that, while your family is visiting Deep creek lake, you and your mother decide to go boating.
The Rangers charge $6.50 per hour in addition to $25.00 deposit to rent a canoe.
If you wish to rent the canoe from 12:30 to 3:30 PM,
We have to write and solve a linear equation to find the total cost to rent the canoe.
Now, we know that,
<em>total cost = charges + rent fee
</em>
Let total cost be "c" and number of hours rented be "n"
Now, they used canoe from 12:30 to 3:30, which means 3 hours of time
So, put n = 3 in (1)
c = 6.5(3) + 25
c = 19.5 + 25
c = 43.5
Hence, the total cost is $43.5 and it is obtained from the equation c = 6.5n + 25
Answer:Kirk is taller than Joey by 8 inches
Step-by-step explanation:
Step 1
Kirk's height is given as =5 feet 4 inches tall.
Joey's height 4 feet 8 inches tall
Difference in height = 5 feet 4 inches
- 4 feet 8 inches
=
Step 2
Bear in mind that 12 inches = 1 feet . Now,8 cannot be subtracted from 4 , so we borrow 1 feet from 5feet, which is equivalent to 12 inches and add to inches so it becomes
4 feet (12+4)inches = 4 feet 16inches
- 4 feet 8 inches - 4 feet 8 inches
= 8 inches
Therefore Kirk is taller than Joey by 8 inches
PEMDAS
10x -40 +15 = -15
-10x -10x
________________
-40 +15 = -15 - 10x
+15 +15
________________
-40 + 15 +15 = -10x
_______________
-40 + 30 = -10x
_____________
-25 = -10x
+10 +10
________
-15 = x
<em>Hopefully this all makes sense to you ☺</em>
