Use Soh Cah Toa. Soh(sin) is the Opposite side divided by the Hypotenuse side so in this case 21/20. Since we need the angle here we would use the inverse of sin. Your equation is Sin(x)=Opposite/Hypotenuse=21/20=1.05
Now solve sin(x)=1.05
Re-arange into
X=sin^-1 (1.05) but since you can’t have a inverse sin of a number more than one it is inconclusive or no answer
Answer: 260 downloads of the standard version were there.
Step-by-step explanation:
Let x represent the number of downloads of the standard version.
Let y represent the number of downloads of the high-quality version.
Yesterday, the high-quality version downloaded four times as often as the standard version. It means that
y = 4x
The size of the standard version is 2.9 megabytes (MB). the size of the high-quality version is 4.6 MB. the total size downloaded for the two versions was 5538 MB. It means that
2.9x + 4.6y = 5538- - - - - - - - - - - -1
Substituting y = 4x into equation 1, it becomes
2.9x + 4.6 × 4x = 5538
2.9x + 18.4x = 5538
21.3x = 5538
x = 5538/21.3
x = 260
Answer:
252
Step-by-step explanation:
The order of the books isn't important, so we'll use combinations.
The number of ways to choose 5 books from 10 is:
₁₀C₅ = 10! / (5! (10 − 5)!)
₁₀C₅ = 10! / (5! 5!)
₁₀C₅ = 10×9×8×7×6 / (5×4×3×2×1)
₁₀C₅ = 252
Answer:
3) 16.2
Step-by-step explanation:
The supplement to the 115° angle on the right is 65°, the same as the angle at upper left. The vertical angles at C are the same measure, so this tells you that the two triangles FCB and ACD are similar by the AA similarity postulate. That being the case, corresponding sides are proportional:
CB/CD = CF/CA
CB = CD·CF/CA = 7.2·21.6/9.6
CB = 16.2
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When given two "point-to-point" triangles like this, quite often there is some sort of similarity relationship involved. First, you need to figure out what it is; then you need to make use of it as needed to answer the question being asked.
Answer:
You need to attach a picture or something.
