Answer:
90 square cm.
Step-by-step explanation:
For similar figures, the length of corresponding sides are proportional.
So we can write 4k = 6 where k is the proportionality constant.
<u>Note: </u>In terms of area, the scale factor would be k^2 and in terms of volume, it would be k^3y
Solving 4k = 6, we see that k = 6/4 or 3/2
We need area, so we <u><em>multiply area of ABC by k^2 to get area of PQR.</em></u>
<u><em>
</em></u>
<u><em /></u>
Area of PQR = 90 cm^2
Answer:
93.99
Step-by-step explanation:
sin rule is:
sin A ÷ a = sin B ÷ b = sin C ÷ c
A B C are angles
a b c are the lengths opposite to each angle
to find angle opposite to x:
180- (90+57) = 33°
180: sum of angles in a traingle
90: since its a right angle traingle
to find x:
sin 57 ÷ 41 = sin 33 ÷ x
rearrange:
x= (sin 33 x 41) ÷ sin 57
x= 93.99 (2 d.p/2 decimal places)
Answer:
It took Jen 4 hours to catch up with Laura
Step-by-step explanation:
Gaining speed 45-30= 15 mph
Laura's head start 30×2=60 miles
Time for Jen to catch up 60÷15= 4 hours
In other words
30(t+2)= 45t
30t+60= 45t
60=45t-30t
60= 15t
t=4 hours
Answer:
![\sqrt[15]{x^7}](https://tex.z-dn.net/?f=%5Csqrt%5B15%5D%7Bx%5E7%7D)
Step-by-step explanation:
If we have the expression
, we have to think about exponent rules.
If we have 
, then the value will be equal to 
.
So simplified will be 
Converting 
and 
into fifteenths (lcm) gets us 
.
We can convert 
into a radical by taking the denominator root of x to the numerator.
.
Hope this helped!
Answer:
The answer to your question is a = 40, b = 5/8
Step-by-step explanation:
Data
ab = 25
log₄a - log₄b = 3
Process
1.- Use the law log of a quotient
log₄ a/b = 3
2.- Convert the log to an exponent
a/b = 4³
a/b = 64 Equation l
ab = 25 Equation ll
3.- Solve equation l for a
a = 64b
4.- Substitute in equation ll
(64b)b = 25
-Simplify
64b² = 25
-Solve for b
b² = 25/64
b = 5/8
5.- Substitute the value of b to find a
a = 64(5/8)
-Simplification
a = 40
