Answer:
Z = 90 degrees
Step-by-step explanation:
Reason is a diameter subtends angle of 90 degrees on the circumference
Answer:
x = 2.3202
Step-by-step explanation:
Given equation:

on taking log both sides, we get

now,
using the property of log function
log(aᵇ) = b × log(a)
therefore,
we get
(3x-5)log(10) = xlog(7)
now,
log(10) = 1
and
log(7) = 0.84509
thus,
( 3x - 5 ) × 1 = 0.84509x
or
3x - 0.84509x - 5 = 0
or
2.15491x = 5
or
x = 2.3202
Answer:
90m+145
Step-by-step explanation:
80 + 50m + 65 + 40m
90m+145
Answer:
He must earn $2,400 to cover both leisure and $2,160 for school expenses.
Step-by-step explanation:
Let the total amount Ken must earn be k. Then 10% of that would cover leisure activities and the remaining 90% specifically for school expenses.
Then 0.90k = $2,160, and k = $2,400.
He must earn $2,400 to cover both leisure and $2,160 for school expenses.
Answer:
7x³y² - 3x²y² + xy - 5
Step-by-step explanation:
Add like terms.
5x³y² + 2x³y² = 7x³y²
-3x²y² = -3x²y²
-3xy + 4xy = xy
2 - 7 = -5
Put them all together.
7x³y² - 3x²y² + xy - 5