Answer:
The area of the triangle is 10 square units.
Step-by-step explanation:
The formula for area of a triangle is A = bh.
The problem gives us this information:
b = 4 units
h = 5 units
You can use the formula and plug the numbers into the equation to find your answer of 10 square units.
Answer:
The measure of the larger angle is (7 x + 23) = 51°
Step-by-step explanation:
Two angles A and B are said to be <u>complimentary angles</u> if and only if their measure adds up to 90°.
⇒ ∠A + ∠B = 90°.
So, here given (7 x+23)and (3 x+27) are complimentary.
⇒ (7 x+23) + (3 x+27) = 90°
or, 10 x + 50 = 90°
⇒ 10 x = 90° - 50 = 40°
or, x = 40/ 10 = 4°
So, the first angle = (7 x+23) = 7 (4) + 23 = 51°
and the second angle is (3 x+27) = 3(4) + 27 = 39°
Hence, the measure of the larger angle is (7 x + 23) = 51°
Answer:
a) dm/dt = 0.2m
b) ln(m) = 0.2t + A
c) ln(m) = 0.2t + ln(20) - 0.6
d) 11 grams
Step-by-step explanation:
a) dm/dt = 0.2m
b) dm/m = 0.2dt
ln(m) = 0.2t + A
c) At t = 3, dm/dt = 4
dm/dt = 0.2m
4 = 0.2m
m = 4/0.2 = 20
So, when t = 3, m = 20
ln(20) =0.2(3) + A
A = ln(20) - 0.6
ln(m) = 0.2t + ln(20) - 0.6
d) find m when t=0
ln(m) = 0.2(0) + ln(20) - 0.6
ln(m) = ln(20) - 0.6
ln(m) = 2.3957322736
m = e^2.3957322736
m = 10.9762327224
m = 11
Answer:2.88 m/s
Step-by-step explanation:
Given
radius of circle r=0.85 m
At highest Point weight will Provide the centripetal Force
thus
where m is the mass of water in bucket
Given that, = 39
We will find the second term
Similarly,
Now we use the option checking method,
Suppose we check 4th option
a_{n}= 6n + 33
for n=1
= 6(1) + 33 = 39
It means option D is correct