Answer:
3.29 s
Step-by-step explanation:
We are given that
Height of building=240
Initial velocity=20ft/s
The height of the ball after t seconds is given by
When the ball strike the ground then
h(t)=0
Quadratic formula:
Using the quadratic formula
Time cannot be negative .Therefore,
t=3.29 s
Answer:
Step-by-step explanation:
MN // PO
∠OMN =∠POM { alternate interior angles}
∠OMN = 34
∠PMO + ∠OMN + ∠1 = 180 {STRAIGHT LINE}
22 + 34 +∠1 = 180
56 +∠1 = 180
∠1 = 180 - 56
∠1 = 124
∠OPM =∠1 { Corresponding angles, PO//MN AND PM IS TRANSVERSL}
∠OPM = 124
Answer:
now I will say no but will answer you another time please
Answer:
Step-by-step explanation:
The formula for continuously compounded is:
where P is the principal amount, r is the interest rate as a decimal, and t is the amount of time.
The principal amount is $7,500 and time is 16 years. The interest rate is 1.5%. Convert this to a decimal- divide by 100 or move the decimal places two spots to the left.
- 1.5/100= 0.015 or 1.5 --> 0.15 --> 0.015
Now we know all the values and can substitute them into the formula.
Solve the multiplication in the exponent first.
Solve the exponent.
Round to the nearest cent (hundredth place). The 8 in the thousandth place tells us to the round the 6 to a 7.
The account balance will be <u>$9,534.37</u> after 16 years.
Answer:
- sin(X) = 6/7.5
- XY = 4.5
- cos(X) = 4.5/7.5
- tan(X) = 6/4.5
Step-by-step explanation:
It is convenient to use the Pythagorean theorem to find XY to start with. That theorem tells you ...
XZ² = YZ² + XY²
Solving for XY, you find ...
XY² = XZ² - YZ²
XY = √(XZ² - YZ²) = √(7.5² -6²) = √(56.25 -36) = √20.25
XY = 4.5
The mnemonic SOH CAH TOA is very helpful here. It reminds you that ...
Sin = Opposite/Hypotenuse
sin(X) = 6/7.5
Cos = Adjacent/Hypotenuse
cos(X) = 4.5/7.5
Tan = Opposite/Adjacent
tan(X) = 6/4.5
_____
<em>Comment on the triangle and ratios</em>
The side lengths of this triangle are in the ratios ...
XY : YZ : XZ = 3 : 4 : 5
If you recognize that the given sides are in the ratio 4 : 5, this tells you that you have a "3-4-5" right triangle with a scale factor of 1.5. At least, you can find XY = 1.5·3 = 4.5 with no further trouble.
The trig ratios could be reduced to sin(X) = 4/5; cos(X) = 3/5; tan(X) = 4/3, but the wording "don't simplify" suggests you want the numbers shown on the diagram, not their reduced ratios.
