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2 years ago

On average five birds hit the Washington Monument and are killed each week. Joe, an

Mathematics

1 answer:

jok3333 [9.3K]2 years ago

5 0

Answer:

Yes

Step-by-step explanation:

An average of five birds hit the monument each week and in order to receive the funds, more than three birds have to be killed in a week

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Find the solutions for a triangle with a = 16, c =12, and B = 63º.

maks197457 [2]

Answer:

b. A = 71.6°; C = 45.40°; b =15.0

Step-by-step explanation:

The missing values can be found with the help of the Law of Cosine and properties of triangles:

Side b (Law of Cosine)

$b = \sqrt{a^{2}+c^{2}-2\cdot a \cdot c \cdot \cos B}$

$b = \sqrt{16^{2}+12^{2}-2\cdot (16)\cdot (12) \cdot \cos 63^{\circ}}$

$b \approx 15.022$

Angle A (Law of Cosine)

$\cos A = -\frac{a^{2} - b^{2}-c^{2}}{2\cdot b \cdot c}$

$\cos A = - \frac{16^{2}-15.022^{2}-12^{2}}{2\cdot (15.022)\cdot (12)}$

$\cos A = 0.315$

$A= \cos^{-1} 0.315$

$A \approx 71.639^{\circ}$

Angle C (Sum of internal angles in triangles)

$C = 180^{\circ} - 63^{\circ} - 71.639^{\circ}$

$C = 45.361^{\circ}$

Hence, the right answer is B.

6 0

3 years ago

6^2r=800 round it to the nearest hundreth

kogti [31]

Question: solve for r: 6 ^ (2r) = 800

Answer: 1.87

Step-by-step explanation:

6 ^ (2r) = 800

log(6 ^ (2r)) = log(800)

2r log(6) = log(800)

r = log(800) / (2 log(6))

r = 1.86537641979

round

r = 1.87

log can be any logarithm function.

6^(2×1.86) = 784.734328546

6^(2×1.87) = 813.365367336

7 0

2 years ago

The sales tax rate in a certain state is 8%. How much would you pay in total for a taxable item that costs $25.25?

faust18 [17]

25.25x 0.08= 2.02 so answer is 2.02

6 0

2 years ago

Read 2 more answers

Which of the following shows the true solution to the logarithmic equation 3 log Subscript 2 Baseline (2 x) = 3 x = negative 1 x

sineoko [7]

The equation which shows the true solution to the given logarithmic equation is,

$x=1$

<h3>What is power rule of logarithmic function?</h3>

The power of the log rule says that the number written in the front of the logarithmic function can be raised to the power of the logarithmic function.

For example,

$n\log_b(M)=\log_b(M)^n$

Given information-

The logarithmic equation given in the problem is,

$3\log_2(2x)=3$

Using the power rule of the logarithmic function,

$\log_2(2x)^3=3$

Using the exponent rule of the logarithmic function the above equation can be written as,

$(2x)^3=3$

Solve it further,

$8x^3=3\\x^3=1\\x=1$

Hence, the equation which shows the true solution to the given logarithmic equation is,

$x=1$

Learn more about the rules of logarithmic function here;

brainly.com/question/13473114

4 0

2 years ago

Which pair show equivalent expressions

zysi [14]

Second one if you distribute the first expression you get the second equation so the expressions are equivalent

6 0

3 years ago