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Bond [772]
3 years ago
8

Triangle Z W X is shown. Angle Z W X is a right angle. An altitude is drawn from point W to point Y on side Z X to form a right

angle. The length of W X is b, the length of X Y is a, the length of Y Z is 5, and the length of W Y is 6.
What is the approximate value of b, rounded to the nearest tenth?
Mathematics
1 answer:
Alex_Xolod [135]3 years ago
3 0

Answer:

D

Step-by-step explanation:

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7 0
3 years ago
Tan 48 degrees 19'23"
asambeis [7]

Answer:

Step-by-step explanation:

y = tan(48 + 19/60 + 23/3600)

y = tan(48.323055555...)

y = 1.1232851096924531815531574029372...

3 0
2 years ago
A toy car can go 5 mph. How long would it take to go 7 miles?
Radda [10]

Answer:

by the way what grade are you in? If you are more than 7th grade can you help me? brainly.com/question/16233847

35 mph

Step-by-step explanation:

7 times 5

3 0
3 years ago
Suppose after 2500 years an initial amount of 1000 grams of a radioactive substance has decayed to 75 grams. What is the half-li
krok68 [10]

Answer:

The correct answer is:

Between 600 and 700 years (B)

Step-by-step explanation:

At a constant decay rate, the half-life of a radioactive substance is the time taken for the substance to decay to half of its original mass. The formula for radioactive exponential decay is given by:

A(t) = A_0 e^{(kt)}\\where:\\A(t) = Amount\ left\ at\ time\ (t) = 75\ grams\\A_0 = initial\ amount = 1000\ grams\\k = decay\ constant\\t = time\ of\ decay = 2500\ years

First, let us calculate the decay constant (k)

75 = 1000 e^{(k2500)}\\dividing\ both\ sides\ by\ 1000\\0.075 = e^{(2500k)}\\taking\ natural\ logarithm\ of\ both\ sides\\In 0.075 = In (e^{2500k})\\In 0.075 = 2500k\\k = \frac{In0.075}{2500}\\ k = \frac{-2.5903}{2500} \\k = - 0.001036

Next, let us calculate the half-life as follows:

\frac{1}{2} A_0 = A_0 e^{(-0.001036t)}\\Dividing\ both\ sides\ by\ A_0\\ \frac{1}{2} = e^{-0.001036t}\\taking\ natural\ logarithm\ of\ both\ sides\\In(0.5) = In (e^{-0.001036t})\\-0.6931 = -0.001036t\\t = \frac{-0.6931}{-0.001036} \\t = 669.02 years\\\therefore t\frac{1}{2}  \approx 669\ years

Therefore the half-life is between 600 and 700 years

5 0
3 years ago
If (x+2) is a Factor x^3 + 2x^2 + 2x + k then find the value of K.​
Delvig [45]

Answer:

Step-by-step explanation:

If (x + 2) is a factor of a polynomial then ( - 2 ) is the zero of that polynomial ⇒ ( - 2 )³ + 2( - 2 )² + 2( - 2 ) + k = 0 ⇒ k = - 4

4 0
2 years ago
Read 2 more answers
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