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Verdich [7]
3 years ago
7

Sue uses 3.75 meters of string to tie 3 balloons. she has 25 balloons to tie. how much string does she need.

Mathematics
1 answer:
Leto [7]3 years ago
8 0
31.25 meters 3.75<span> / </span>3<span> = 1.</span>25<span>,</span>
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A building is 964 feet tall. Two people are standing on the ground directly west of the building. The
Lina20 [59]

Answer:

The distance from both of them = 1463.925  ft

Step-by-step explanation:

The building is 964 ft tall . 2 people are standing on the ground directly west of the building. The first person looks up at an angle of 62° to the top of the building while the second person did same at an angle of 26°. The distance between them can be computed below.

The illustration forms a right angle triangle . Using the SOHCAHTOA principle let us find the distance of the second person from the building

tan 26° = opposite/adjacent

tan 26° = 964/adjacent

adjacent tan 26° = 964

adjacent = 964/tan 26°

adjacent = 964/0.48773258856

adjacent = 1976.49290328 ft

The distance from the second person to the building = 1976.493 ft

Distance of the first person to the building

tan 62° = opposite/adjacent

tan 62° = 964/adjacent

adjacent tan 62° = 964

adjacent = 964/tan 62°

adjacent = 964/1.88072646535

adjacent = 512.567892122

distance from the first person to the building = 512.568 ft

The distance from both of them =  1976.493 ft - 512.568 ft = 1463.925  ft

5 0
3 years ago
Dr. Steve is working with a new radioactive substance in his lab. He currently has 64 grams of the substance and knows that it d
4vir4ik [10]
Remember that the general decay equation is:
y=A(1-r)^{x}
where 
y is the amount after a time x
A is the initial amount 
r is the the decay percent in decimal form

The first ting we are going to do is find r by dividing our <span>decay rate of 25% by 100%: </span>r= \frac{25}{100} =0.25.
We also know from our problem that y=64. Lets replace y and r in our formula:
64=A(1-0.25)^{x}
64=A(0.75)^{x}
We know now that our decay rate is 0.75, and since 0.75<1, we can conclude that this situation represents exponential decay.

Now, to find the initial amount, we are going to solve our equation for A:
64=A(0.75)^{x}
A= \frac{64}{0.75 ^{x} }
Notice that A will depend on the number of ours x. <span />
4 0
3 years ago
Read 2 more answers
Directions: Find the volume of each figure. Round to the nearest tenth if necessary.
balu736 [363]

Answer:

Step-by-step explanation:

square-based pyramid:

volume V = (⅓)b²h

    = (⅓)7²·16  

    ≅ 261.3 ft³

:::::

Can't help with question 3. I haven't learned triangle-based pyramids.

:::::

cone:

volume V = ⅓πr²h

              = ⅓π17²·20

              = 6052.8 yd³

:::::

can't help with question 7. Never did this kind of pyramid.

3 0
2 years ago
Evaluate g(x) = 1.873 -0.0034x +0.5 for x = 1 and x = 2.
AlexFokin [52]

Answer:

g(1) = 1.8696

g(2) = 1.8662

Step-by-step explanation:

Simply plug in the x values into the equation in a calc and you should get your answer.

6 0
3 years ago
Solve for the variable in 6/18=x/36
alexdok [17]
12. Both sides of the equation are equal and if 18 is half of 36 then 6×2 will give you the value of X
7 0
3 years ago
Read 2 more answers
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