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Alborosie
3 years ago
9

What is the answer to this. Please help ASAP.

Mathematics
1 answer:
Zigmanuir [339]3 years ago
6 0
V of rec. prism = whl = 3x5x6 = 90
V of cone = 3.14 x (3)^2 (8) /3= 75.36

90 - 75.36 = 14.64

answer
14.64
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A vector with magnitude 9 points in a direction 190 degrees counterclockwise from the positive x axis. Write in component form
Over [174]

Answer:

\vec{v}= \text{ or } \approx

Step-by-step explanation:

Component form of a vector is given by \vec{v}=, where i represents change in x-value and j represents change in y-value. The magnitude of a vector is correlated the Pythagorean Theorem. For vector \vec{v}=, the magnitude is ||v||=\sqrt{i^2+j^2.

190 degrees counterclockwise from the positive x-axis is 10 degrees below the negative x-axis. We can then draw a right triangle 10 degrees below the horizontal with one leg being i, one leg being j, and the hypotenuse of the triangle being the magnitude of the vector, which is given as 9.

In any right triangle, the sine/sin of an angle is equal to its opposite side divided by the hypotenuse, or longest side, of the triangle.

Therefore, we have:

\sin 10^{\circ}=\frac{j}{9},\\j=9\sin 10^{\circ}

To find the other leg, i, we can also use basic trigonometry for a right triangle. In right triangles only, the cosine/cos of an angle is equal to its adjacent side divided by the hypotenuse of the triangle. We get:

\cos 10^{\circ}=\frac{i}{9},\\i=9\cos 10^{\circ}

Verify that (9\sin 10^{\circ})^2+(9\cos 10^{\circ})^2=9^2\:\checkmark

Therefore, the component form of this vector is \vec{v}=\boxed{}\approx \boxed{}

6 0
3 years ago
Foster makes sandwiches at a deli. There are 8 1/2 (eight and one half) pounds of turkey at the deli. How many 1/4 (one fourth)p
atroni [7]

foster can make 42 1/4-pound turkey sandwiches

explanation: 10.5 divided by 1/4 is 42

4 0
3 years ago
A principal of $2600 is invested at 7.5% interest, compounded annually. How much will the investment be worth after 8 years?
almond37 [142]
To add 7.5% to a number you simply multiply the number by 1.075. To compound that amount year after year, you raise 1.075 to an exponent that corresponds to the number of years.  2600*(1.075^8)=<span>4637.04234646</span>
3 0
2 years ago
Help me plz need smart people
Genrish500 [490]
The answer to 9 is 87.

The answer to 10 is x=91, y=89, and z=31

Mark as branliest plz

8 0
3 years ago
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How many solutions are there to the equation below?
NARA [144]
There is only one solution and the solution is x=-22
6 0
3 years ago
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