Answer:
QR = 65.4 m
Step-by-step explanation:
a. Apply Law of Cosines to find QR:
p² = q² + r² - 2qr × Cos P
p = QR = ?
q = PR = 150 m
r = PQ = 120 m
P = 25°
Plug in the values
p² = 150² + 120² - (2)(150)(120) × Cos(25°)
p² = 22,500 + 14,400 - 36,000 × 0.9063
p² = 36,900 - 32,626.8
p² = 4,273.2
p = √4,273.2
p ≈ 65.4 m (nearest tenth)
QR = 65.4 m
Answer:
Conversion and substitution
Step-by-step explanation:
One way to find out if the expression is true, we can convert all the percentages into their decimal equivalence.
60% = 0.6
10% = 0.1
6% = 0.06
Now let's substitute the values.
0.06 = 0.6 x 0.1
0.06 = 0.06
Since 0.06 is equal 0.06, this then proves that it is true.
Answer:
B
Step-by-step explanation:
x/5 + 2/3x
first you multiply both denominator.
this will be you denominator unless you can simplify it.
denominator=5 x 3X = 15X
now you times both denominator with the opposite numerator.
e.g. 5 x 2 and X x 3X.
=10 and 3X^2
now you and both numerators which is 3X^2 + 10
so the answer is b
Answer:
2.8-5.4
Step-by-step explanation:
4.1 minus 1.3 =2.8 4.1+1.3= 5.4 the answer will look like x<x< or something with the numbers idk for sure how it will look but i know the numbers are right
The time it will take to fill the vat if both pipes are left open is = 4.3 hours
<h3>Calculation of time taken to fill vat</h3>
The number of pipes a vat has = 2
The time it takes the inlet pipe to fill the vat = 3hrs
The time it takes the outlet pipe to empty the vat= 10hrs
Therefore, the time it will take to fill the vat if both pipes are left open is;
1/t = 1/3-1/10
1/t = 7/30
Make t the subject of formula,
t = 30/7
t= 4.3 hours
Learn more about hours here:
brainly.com/question/291457
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