Answer:
The other diagonal measures 21m
Step-by-step explanation:
In this question, we are tasked with calculating the length of the second diagonal of as Rhombus given the measure of the surface area of the rhombus and the length of the other diagonal
Mathematically, for a rhombus having two diagonals 
and 
, the area of the rhombus can be calculated mathematically using the formula below;
A = 1/2 × ×
From the question, we can identify that A = 157.5
and = 15m
we input these in the formula;
157.5 = 1/2 × 15 ×
315 = 15
= 315/15
= 21m
Answer:
Karl works 7 hours a week
Step-by-step explanation:
Step 1: Determine total amount that Sally earns
Total amount Sally earns=rate per hour×number of hours worked(h)
where;
Rate per hour=$7 per hour
Number of hours worked=h
Replacing;
Total amount Sally earns=(7×h)=7 h
Step 2: Determine total amount Karl earns
Total amount Karl earns=rate per hour×number of hours worked
where;
rate per hour=$5
number of hours worked=2 more than Sally=h+2
replacing;
Total amount Karl earns=5(h+2)
Step 3: Equate Sally's total earnings to Karl's total earnings and solve for h
7 h=5(h+2)
7 h=5 h+10
7 h-5 h=10
2 h=10
h=10/2
h=5
Karl works (h+2) hours=(5+2)= 7 hours
Karl works 7 hours a week
Answer:
you can't cheat in an online school math test =_=
Step-by-step explanation:
Answer:
x^87
Step-by-step explanation:
Multiplying x^22 and x^7 results in x^29.
Then we have:
(x^29)^3 = x^87
Recall that (a^b)^c = a^(bc) and that a^b*a^c = a^(b + c)
