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3 years ago

A bulletin board is 3ft high, it's area is 15 square ft what is the perimeter of the bulletin board

Mathematics

2 answers:

Zinaida [17]3 years ago

6 0

Yes it is indeed 16 feet

Molodets [167]3 years ago

3 0

16 Feet because 15 divided by 3 is 5 then you add 3+3+5+5

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Problem PageQuestion The mass of a radioactive substance follows a continuous exponential decay model, with a decay rate paramet

asambeis [7]

Answer:

t = 1.51

Step-by-step explanation:

Exponential Model

The exponential model is often used to simulate the behavior of a magnitude that either grow or decay in proportion to the existing amount of that magnitude.

The model can be expressed as

$M=M_oe^{kt}$

In this case, Mo is the initial mass of the radioactive substance and k is a constant which value is positive if the mass is growing or negative if the mass is decaying.

The value of k is not precisely given in the question, we are assuming $k=-0.2$

The model is now

$M=M_oe^{-0.2t}$

We are required to compute the time it takes the mass to reach one-half of its initial value:

$\displaystyle \frac{M_o}{2}=M_oe^{-0.2t}$

Simplifying

$\displaystyle \frac{1}{2}=e^{-0.2t}$

Taking logarithms

$\displaystyle ln\frac{1}{2}=ln(e^{-0.2t})=-0.2t$

Solving for t

$\displaystyle t=-\frac{ln\frac{1}{2}}{0.2}=1.51$

6 0

3 years ago

If a ladder is to be placed 3 feet from the side of a house. If top of the ladder rests exactly on the edge of the house when it

likoan [24]

Answer:

7 feet long

Step-by-step explanation:

This set up will give a right angle triangle where;

Length of the ladder is the hypotenuse = x

The distance of the ladder to the house is the adjacent = 3 feet

Angle of elevation theta = 72 degrees

Using the CAH in trigonometry identity;

cos theta = adjacent/hypotenuse

cos 72 = 3/hyp

hyp = 3/cos72

hyp = 3/0.4258

hyp = 7.05 feet

Hence the ladder is approximately 7 feet long

6 0

3 years ago

Anyone know how to do this? will give brainlest! if you cant help, have a great day!!!

Aleks04 [339]

M= 2 :) I hope this helped you

4 0

3 years ago

Read 2 more answers

Solve for x Find ADB Find BDC

NeTakaya

Answer:

x=12 ADB= 56 BDC= 54

Step-by-step explanation:

ADB and BDC are complementary, so they add up to 90 degrees. In other words ADB+BDC= 90 So I can input my knowns into the equation

(3x+10) + (4x-4) = 90

I combined like terms to give me 7x+6=90

Then I subtract 6 from both sides giving me 7x=84

Last I divide 7 on both sides. x=12

Then I input the x (12) into the equation and solve it from there

3(12)+10 and 4(12)-4

3(12)+10=56

4(12)-4=54

. . . I think. Hope this helps!

5 0

3 years ago

A golf tournament has five rounds. The players are given scores for each round based on how many strokes they are above or below

frozen [14]

We have the following table:

Round Number of Strokes Above or Below 72

1 -5

2 +6

3 -2

4 -4

5 +5

So, the expression that represents the total number of strokes is:

72 + (Number of strokes Above or below 72)

Therefore, for every round we get:

Round Number of Strokes Above or Below 72 Total number of strokes

1 -5 72 - 5 = 67

2 +6 72 + 6 = 78

3 -2 72 - 2 = 70

4 -4 72 - 4 = 68

5 +5 72 + 5 = 77

The total number of strokes is:

67 + 78 + 70 + 68 + 77 = 360

Additionally, the average is the total number of strokes divided by the number of rounds, so it is equal to:

$\frac{360}{5}=72$

Answer: Total: 360 Strokes

Average: 72 Strokes

6 0

1 year ago