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Nuetrik [128]
3 years ago
5

Students were asked to write 6x5 + 8x - 3x3 + 7x7 in standard form.

Mathematics
1 answer:
dimulka [17.4K]3 years ago
3 0

Answer:

7x^{7} + 6x^{5} - 3x^{3} + 8x

Step-by-step explanation:

Students are asked to write 6x^{5} + 8x - 3x^{3} + 7x^{7} in the standard form.

Now, in the standard form of a polynomial the highest power of the variable takes the leftmost position and the lowest power of the variable takes the rightmost position and the power of variable decreases from left to right.

Therefore, the standard form will be 7x^{7} + 6x^{5} - 3x^{3} + 8x. (Answer)

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If a cone with a diameter of 10 m has a surface area of 190.6m2, find its slant height. Round to the nearest tenth.
alukav5142 [94]

Answer:  The slant height of the cone is 65.6 m

Step-by-step explanation:

Given: The diameter of a cone = 10 m

Surface area of cone = 190.6 m²

To find: Slant height

Diameter of cone = 10 m

Therefore Radius of cone = \dfrac{\text {Diameter }}{2} = \dfrac{10}{2} =5m

As we know that surface area of a cone is given by

S.A. = \pi r(l+r)

Where S.A. is surface area , r is the radius of cone and l is the slant height of the cone.

Let Slant height = l

So we have

190.6 = \dfrac{22}{7} \times 5 ( 5+l)\\\\\Rightarrow  5+l= \dfrac{190.6 \times 7}{22}\\\\\Rightarrow l=  \dfrac{1334.2}{22}+5\approx 60.64+5 = 65.64\approx65.6

Hence the slant height of the cone is 65.6 m

5 0
3 years ago
△ABC = △DBC, AB= 10, AC=7 DC= ?
Furkat [3]

Answer:DC=7

Step-by-step explanation:

As it is written △ABC = △DBC.   So the corresonding legs (the legs which are equal ) are as follows:

AC=DC       AB=DB      BC= BC

So DC=7  the same like AC

7 0
3 years ago
A lake was stocked with 80 trout, 20 bass, 70 walleye and 30 catfish. What is the probability that a fisherman catches a trout f
Lisa [10]
80/200. is the probability
3 0
3 years ago
The sum of the lengths of any two sides of a triangle must be greater than the third side. If a triangle has one side that is 18
kogti [31]

Answer: One side could be 18 and the other side will be 33.

Step-by-step explanation:

  • Side #1 = 18
  • Side #2 = 2x - 3
  • Side #3 = x

<u>One way of setting up the inequality is: Side #2 + Side #3 > Side #1</u>

<u />2x-3+x>18\\3x-3>18\\3x>18+3\\3x>21\\x>7

<u>Another way of setting up the inequality is: Side #1 + Side #3 > Side #2</u>

<u />18+x>2x-3\\18+3>2x-x\\x<u />

<u>Final way of setting up the inequality is: Side #1 + Side #2 > Side #3</u>

<u />18+2x-3>x\\15>x-2x\\15>-x\\x>-15<em />

<em>Therefore, we have the range for our value of x, which is between 7 and 21. Any possible value between works. Negative measurements are rejected. One of the sides would equal the x-value, while the other side would equal the value of 2x-3.</em>

3 0
3 years ago
PLS HELP!!
timofeeve [1]

Answer:

omg i have that exact same promblem i would say its the frist one but im not 100% sure

Step-by-step explanation:

6 0
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