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Masja [62]
2 years ago
15

If a 5 foot post casts an 8 foot shadow at the same time that a nearby tree casts a 48 foot shadow how tall is the tree

Mathematics
1 answer:
andriy [413]2 years ago
3 0
The first thing we are going to assume for this case is that the tree and the post are located in the same place.
 From that place, both cast a shadow in the same direction.
 We then have two similar triangles.
 Therefore, we have the following relationship:
 \frac{x}{48} = \frac{5}{8}
 From here, we clear the value of x.
 We have then:
 x = \frac{5}{8} *48
 Rewriting:
 x=30
 Answer:
 
the tree is 30 feet tall
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The base of the pyramid is a square. what is the volume of the pyramid. enter your answer in the box.
Ugo [173]

Answer:

The volume of the pyramid is 672\ cm^{3}

Step-by-step explanation:

we know that

The volume of the pyramid of the figure is equal to

V=\frac{1}{3}b^{2}h

we have

b=12\ cm

h=14\ cm ----> the height must be perpendicular to the base

substitute

V=\frac{1}{3}(12^{2})(14)=672\ cm^{3}

7 0
3 years ago
Blues varied directly as greens and inversely as whites squared. If there were 3 greens when there were 4 blues and 2 whites, ho
a_sh-v [17]

Step-by-step explanation:

there will be 3 greens

that is the answer

5 0
2 years ago
Mickey keeps picking playing cards out of a standard deck of 52 cards, hoping that she will
andrew-mc [135]

Answer:

03%

Step-by-step explanation:

In this situation Mickey should have drew first 7 cards that are not diamond and then on the 8th attempt she should draw an ace.

Let A be the event of drawing 7 cards which are not diamond and B the event of drawing an ace card. therefore required probability is P(A∩B)=P(A)*P(B)

Now, there are 13 diamonds and 39 other cards. Hence,

P(A)=(\frac{39}{52})⁷=0.1335

After drawing 7 non-diamond cards, the 8th card must be a diamond.Hence,

P(B)=\frac{13}{52}=0.25

Hence, P(A∩B)=P(A)*P(B)=0.1335*0.25=0.033(approximately 0.03,i.e. 3%)

Therefore probability that Mickey will draw her first diamond on the 8th

attempt is 3%

7 0
3 years ago
(K3+2k2-82k-28)/(k+10)
Ne4ueva [31]

So for this, we will be using synthetic division. To set it up, have the equation so that the divisor is -10 (since that is the solution of k + 10 = 0) and the dividend are the coefficients. Our equation will look as such:

<em>(Note that synthetic division can only be used when the divisor is a 1st degree binomial)</em>

  • -10 | 1 + 2 - 82 - 28
  • ---------------------------

Now firstly, drop the 1:

  • -10 | 1 + 2 - 82 - 28
  •       ↓
  • -------------------------
  •        1

Next, you are going to multiply -10 and 1, and then combine the product with 2.

  • -10 | 1 + 2 - 82 - 28
  •       ↓ - 10
  • -------------------------
  •        1 - 8

Next, multiply -10 and -8, then combine the product with -82:

  • -10 | 1 + 2 - 82 - 28
  •       ↓ -10 + 80
  • -------------------------
  •        1 - 8 - 2

Next, multiply -10 and -2, then combine the product with -28:

  • -10 | 1 + 2 - 82 - 28
  •       ↓ -10 + 80 + 20
  • -------------------------
  •        1 - 8 - 2 - 8

Now, since we know that the degree of the dividend is 3, this means that the degree of the quotient is 2. Using this, the first 3 terms are k^2, k, and the constant, or in this case k² - 8k - 2. Now what about the last coefficient -8? Well this is our remainder, and will be written as -8/(k + 10).

<u>Putting it together, the quotient is k^2-8k-2-\frac{8}{k+10}</u>

8 0
2 years ago
On peux m'aider svp
Alona [7]

Answer hey i dunno if you still need this but if you did could you translate to english

3 0
2 years ago
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