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strojnjashka [21]
3 years ago
8

Every 2 days a scientist spends 12.5 hours observing dolphins and 3.5 hours observing sea lions. At this rate, how many total ho

urs will the scientist spend observing dolphins and sea lions in 6 days?
Mathematics
1 answer:
Mashutka [201]3 years ago
4 0
14.25 hours <--------
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Solve the following systems of equations.<br> y = -x2+2x+1<br> y = 2x+1
boyakko [2]

Answer:

I think it's (0,1) x=0, y=1

Sorry if that's wrong

7 0
2 years ago
What is the arc length of the arc sub tended in a circle with radius 6 and an angle of 7 pi/ 8
KengaRu [80]

Answer:

Formula for the Arc length is given by:

\text{Arc length} = 2 \pi r \cdot \frac{\theta}{360^{\circ}}

As per the statement:

radius of circle(r) = 6 units

Angle (\theta) = \frac{7 \pi}{8} radian

Use conversion:

1 rad = \frac{180}{\pi}

\frac{7 \pi}{8} = \frac{180}{\pi} \cdot \frac{7 \pi}{8} = \frac{1260}{8} = 157.5^{\circ}

then;

substitute these given values we have;

Use value of \pi = 3.14

\text{Arc length} = 2\cdot 3.14 \cdot (6) \cdot \frac{157.5^{\circ}}{360^{\circ}}

or

\text{Arc length} = 2\cdot 3.14 \cdot (6) \cdot 0.4375

Simplify:

\text{Arc length}=16.485

Therefore, the arc length of the arc substended in a circle with radius 6 units an angle of 7 pi/8 is 16.485 units

7 0
3 years ago
Find x. Perimeter.<br><br> What is the value of x?<br><br> What is the perimeter of this triangle?
gladu [14]

Step-by-step explanation:

the distance of a vertex on the 2 outgoing sides to the touching points with the inscribed circle is the same for both sides.

and that applies to all 3 vertexes.

so, we know for the top left vertex the distance to both touching points is 4.

that means the distance to the touching points from the bottom left vertex is 7-4 = 3.

and that means that the distance to the touching points from the bottom right vertex is 16-3 = 13.

so, x = 13

it is the distance to one of the touching points for the bottom right vertex.

and the perimeter of the triangle is therefore

7 + 16 + (13 + 4) = 40

7 0
2 years ago
Let f(x) = x + 8 and g(x) = x2 - 6x - 7. Find f(g(2)).
Alex
We are given with two functions: f(x) = x + 8 and g(x) = x2 - 6x - 7. In this problem, the value of f(g(2)) is asked. We first substitute g(x) to f(x) resulting to f(x2 - 6x - 7) = x2 - 6x - 7 + 8 = x2 - 6x  + 1. If x is equal to 2, then <span>f(g(2)) = 2^</span>2 - 6*2  + 1 equal to -7.
6 0
3 years ago
2x ^2 −5=3x
expeople1 [14]

Answer:a

Step-by-step explanation:

3 0
3 years ago
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