Answer:
C
Step-by-step explanation:
the sum of complementary angles = 90°, hence
x + 5 + x - 9 = 90
2x - 4 = 90 ( add 4 to both sides )
2x = 94 ( divide both sides by 2 )
x = 47
Thus ∠DFG = 47 + 5 = 52° and ∠JKL = 47 - 9 = 38°
Answer:
See Below.
Step-by-step explanation:
We want to verify the equation:
To start, we can multiply the fraction by (1 - sin(θ)). This yields:
Simplify. The denominator uses the difference of two squares pattern:
Recall that sin²(θ) + cos²(θ) = 1. Hence, cos²(θ) = 1 - sin²(θ). Substitute:
Split into two separate fractions:
Rewrite the two fractions:
By definition, 1 / cos(θ) = sec(θ) and sin(θ)/cos(θ) = tan(θ). Hence:
Hence verified.
Answer:
700,000
Step-by-step explanation:
To explain this, we need to know the basics.
If you look at the number 790,390, you should automatically know that you can also write the same number as:
700,000 + 90,000 + 300 + 90
How did we do this?
Because each number in 790,390 has a <u>value.</u>
In fact, we can do this for any number! Like this:
12,345
You can also write the same number like this:
10,000 + 2,000 + 300 + 40 + 5
Back to the original question. If there is a seven in the hundred thousands place, that means that the 9 is equal to 700,000
Examples:
12,345
The 3 in this number stands for 300, since it is in the hundreds place.
678,900
The 7 in this number stands for 70,000 because it is in the ten thousands place
Now you know!
Answer:
64(64-6) = 3712
Step-by-step explanation:
64(64 -6)
64-6 = 58
64(58) = 3712
