Answer: 6
Step-by-step explanation: Because, 6 is the highest number you can multiply both with, 6x12 = 72 and 6x7 = 42
HD = 10.5
Step-by-step explanation:
Given BH = 3, GH = 2, BF = 10
Step 1: To find HF:
HF = BF – BH
HF = 10 – 3
HF = 7
Step 2: To find HD:
We know that if two chords intersects inside a circle, the product of the lengths of the segments of one chord equals the product of the lengths of the segments of the other chord.
⇒ GH × HD = BH × HF
⇒ 2 × HD = 3 × 7
⇒ HD = 10.5
Hence, the value of HD = 10.5.
Answer:
a. $270
b. $3,278.18
Step-by-step explanation:
Given that
The principal amount is $3,000
Annual rate of interest is 3%
And, the time period is 3 years
We need to find out the simple interest & compound interest
The following formulas should be used
a. For simple interest
= Principal × rate of interest × time period
= $3,000 × 3% × 3 years
= $270
b. For compound interest
= Principal × (1 + rate of interest)^time period
= $3,000 × (1 + 0.03)3
= $3,000 × 1.03^3
= $3,278.18
Answer:
2 in
Step-by-step explanation:
Use the cube volume formula, V = s³, where s is the side length
Plug in 8 as V and solve for s:
V = s³
8 = s³
Take the cube root of both sides:
2 = s
So, the length of one side is 2 inches.
Answer:
x = 16 y= 16√3
Step-by-step explanation:
we know that a angle is 60 degrees. Thanks to this information we can say that x is half the hypothenuse, so is value is 16.
y can be express as √3/2 x 32 = 16√3
