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eduard
4 years ago
5

Please help me asap​

Mathematics
2 answers:
8_murik_8 [283]4 years ago
7 0
1.) >
2.) is the fourth choice
3.) is 120
timurjin [86]4 years ago
5 0
1.>
2.4with exponent of 6 aka (D)
3.120
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harrison is playing a board game that has a path of 100 space. after his first turn,he is 1/5 of the way along the spaces. on hi
Kryger [21]
On his first turn he moves one fifth of one hundred what is equal to twenty on second turn he moves twenty less one fourth of twenty what is equal to fifteen. In last time he moves eleven fourths of twenty what is equal to fifty five. Then  3rd turn he has moved ninety  spaces

i hope this helps :)
3 0
3 years ago
Given sin theta= 6/11 and sec theta < 0, find cos theta and tan theta.
bekas [8.4K]

Answer: option a.

Step-by-step explanation:

By definition, we know that:

cos^2(\theta)=1-sen^2(\theta)\\\\tan(\theta)=\frac{sin(\theta)}{cos(\theta)}

Substitute sin(\theta)=\frac{6}{11} into the first equation, solve for the cosine and simplify. Then, you obtain:

cos(\theta)=\±\sqrt{1-(\frac{6}{11})^2}\\\\cos(\theta)=\±\sqrt{\frac{85}{121}}\\\\ cos(\theta)=\±\frac{\sqrt{85}}{11}

As sec\theta then cos\theta:

cos(\theta)=-\frac{\sqrt{85}}{11}

Now we can find tan\theta:

tan\theta=\frac{\frac{6}{11}}{-\frac{\sqrt{85}}{11}}\\\\tan\theta=-\frac{6\sqrt{85}}{85}

4 0
3 years ago
Read 2 more answers
EMERGENCY!
professor190 [17]

Answer:

D

Step-by-step explanation:

6.60/6

= x/3

then u can cross multiply

5 0
3 years ago
Read 2 more answers
Given that x-1 and x+2 are factors of f(x)=x³+px+q where p and q are integers, find p and q. Hence, find the remainder when x³+p
alexandr1967 [171]

Answer:

  • p = -3
  • q = 2
  • remainder = 4

Step-by-step explanation:

We want to find the constants 'a', 'p', and 'q' such that ...

  (x -a)(x -1)(x +2) ≡ x³ +px +q

  (x -a)(x² +x -2) ≡ x³ +px +q

  x³ +x² -2x -ax² -ax +2a ≡ x³ +px +q

This gives rise to three equations:

  1 -a = 0 . . . . coefficient of x²

  -2 -a = p . . . coefficient of x

  2a = q . . . . . constant

The first of these tells us a=1. Then, p=-3 and q=2.

The values of p and q are -3 and 2, respectively.

__

The remainder from division by (x+1) is the value of the cubic for x=-1. That value is ...

  (-1)³ -3(-1) +2 = -1 +3 +2 = 4

The remainder from division by (x+1) is 4.

7 0
2 years ago
The radius of a right circular cone is increasing at a rate of 1.5 in/s while its height is decreasing at a rate of 2.1 in/s. At
givi [52]

Answer:

The volume of the cone is changing at a rate of approximately 8670.796 cubic inches per second.

Step-by-step explanation:

Geometrically speaking, the volume of the right circular cone (V), in cubic inches, is defined by the following formula:

V = \frac{1}{3}\cdot \pi \cdot r^{2}\cdot h (1)

Where:

r - Radius, in inches.

h - Height, in inches.

Then, we derive an expression for the rate of change of the volume (\dot V), in cubic inches per second, by derivatives:

\dot V = \frac{1}{3}\cdot \pi \cdot (2\cdot r\cdot h \cdot \dot r + r^{2}\cdot \dot h) (2)

Where:

\dot r - Rate of change of the radius, in inches per second.

\dot h - Rate of change of the height, in inches per second.

If we know that r = 120\,in, \dot r = 1.5\,\frac{in}{s}, h = 107\,in and \dot h = -2.1\,\frac{in}{s}, then the rate of change of the volume is:

\dot V \approx 8670.796\,\frac{in^{3}}{s}

The volume of the cone is changing at a rate of approximately 8670.796 cubic inches per second.

8 0
3 years ago
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