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<span>Given the exponential equation 4x = 64, what is the logarithmic form of the equation in base 10?
</span><span> x = log 64 / log 4</span>
An expression of more than 2 terms
The given area of the shape of 57.8·π cm², and length of the slant sides
being a factor of the radius, gives the length of the radius as <u>3.4 cm</u>.
<h3>How can the length of the radius be calculated?</h3>
Given;
Radius of the two cones are equal.
Slant height of one cone = 2 × Radius
Slant height of the other cone = 3 × Radius
Surface area of the shape = 57.8·π cm²
The curved surface area of a cone = π·r·l
Required:
The radius of the cone.
Solution;
Surface areas of the cones are therefore;
π·r × 2·r, and π·r × 3·r
The total surface area is therefore;
π·r × 2·r + π·r × 3·r = 57.8·π
5·r²·π = 57.8·π
Which gives;
r² = 57.8 ÷ 5 = 11.56
r = √(11.56) = 3.4
- The radius of the cones, r =<u> 3.4 cm</u>
Learn more about finding the surface area of 3-D shapes here:
brainly.com/question/15635229
Answer:
2 hours.
Step-by-step explanation:
Money earned for 14 hours of life-guarding = 14*18 = $252. If he worked another 5 hours to make the maximum of 19 he would earn 252 + 5*9
= $297 but he wants to work a minimum of hours for a minimum of 270.
Thus we have the inequality:
252 + 9x ≤ 270
9x ≤ 18
x ≤ 2.
So the number of hours he must do clearing tables = 2.
He solved 30 questions.
He solved one question in one minute.
This if he continued at the speed and there are 40 minutes to solve the test and he leaves 10 minutes earlier. He is left with 30 minutes and one minutes per question . Therefore, he solved 30 question.
