lets assume one number is x
then 2nd number will be 5x-2
so product is 120
x (5x-2) = 120
5x^2 - 2x = 120
so answer is last option
30
liam has finished 30 lessons
15/20 is equal to 3/4
so 3/4 of 40 is 30.
hope i helped. have a good day
Answer:
The cross multiplication would be 10(350) = 22(x).
Step-by-step explanation:
We would first convert meters to centimeters. There are 100 cm in a meter; this means 3.5 m = 3.5(100) = 350 cm.
The ratio of the height to base of the model is 10/22. The ratio of the playhouse would then be x/350. This gives us
10/22 = x/350
Cross multiplying, we would have 10(350) = 22(x).
the two coterminal angles to the given one are:
8.98 rad and -3.58 rad
<h3>How to find coterminal angles?</h3>
For a given angle A in radians, the family of coterminal angles is defined as:
B = A + n*(2*pi)
Where pi = 3.14 rad
Where n can be any integer number.
In this case, we have an angle of 2.7 radians, then the coterminal angles are:
B = 2.7 rad + n*(6.28 rad)
One positive is what we get if we select n = 1, then:
B = 2.7 rad + 1*(6.28 rad) = 8.98 rad.
And if we select n = -1, we get the negative coterminal angle:
B' = 2.7 rad - 1*(6.28 rad) = -3.58 rad
Then the two coterminal angles to the given one are:
8.98 rad and -3.58 rad
If you want to learn more about coterminal angles:
brainly.com/question/19891743
#SPJ1
Answer:
3.9%
Step-by-step explanation:
The formula for compound interest to apply is;
where;
A=amount at the end
P=starting amount/principal
n=number of compounding years
t=total number of years
r=interest rate expressed as a decimal
Given
P=$4200, n=2, t=4 and A=$4900 R=?
Substitute values in equation, take r=r
Divide both sides by 4200
Introduce root 8 to the left hand side, thus eliminating the power 8 in the right hand side
![\sqrt[8]{1.1667} =1+0.5r\\\\\\1.0195=1+0.5r\\\\\\1.0195-1=0.5r\\\\\\0.0195=0.5r\\\\\\\frac{0.0195}{0.5} =\frac{0.5r}{0.5} \\\\\\0.039=r](https://tex.z-dn.net/?f=%5Csqrt%5B8%5D%7B1.1667%7D%20%3D1%2B0.5r%5C%5C%5C%5C%5C%5C1.0195%3D1%2B0.5r%5C%5C%5C%5C%5C%5C1.0195-1%3D0.5r%5C%5C%5C%5C%5C%5C0.0195%3D0.5r%5C%5C%5C%5C%5C%5C%5Cfrac%7B0.0195%7D%7B0.5%7D%20%3D%5Cfrac%7B0.5r%7D%7B0.5%7D%20%5C%5C%5C%5C%5C%5C0.039%3Dr)
r=3.9%
