-38

To solve find 5 x 0.25

Answer = 1.25 or $1.25

1 dollar and 25 cents.

Thank you, but what about this 

Haley, I'll give you point for creativity !!!

If the question is (pi)^2.....it equals  about 9.87

Mmmmm...I still like Haley's answer better ......!!!!

15/12 x 5 x 1 x 1/2

=  15/12 x 5/1 x 1/1 x 1/2

Multiplying all the numerators together and all the denominators together:

=  75/24

Simplifying (dividing both the numerator and denominator by 3):

=  25/8

(1/2)^4*(2)^3* (4)^2 =

(1/16)*(8)*(16) =

(1/2) * 16 =

8

√-7  =  √-1 x √7

Rewriting  √-1  as i:

        = i √7

0.63g/cm^3 in kg/m^3=630 kg / (m^3)

If you are dividing common fraction, multiply by the reciprocal:

14/33  ÷  70/11  =  14/33  x  11/70

See what you can cancel:  7  goes into both  14 (2 times)  and  70 (10 times):

=  2/33  x  11/10  

Now,  2  goes into both  2 (once) and into 10 (5 times):

=  1/33  x  11/5

And,  11 goes into both  11 (once)  and  33 (three times):

=  1/3  x  1/5

=  1/15

Pie squared is, a brand-new eatery built around a simple equation: Take U.K.-style meat pies, add some clever new flavours, square off the edges for portability (and maximum flavour penetration), and wrap the whole thing up in a cute, science-themed package.

Thank you! :)

OK....tracing this one through

We know one angle not between the sides (SSA)

A > 90

a < b

No triangle possible

-5a² + -11a²      Since the variables are the same, both a², add their values:  -5 + -11  =  -16.

=  -16a² 

First question:  How many side lengths are known?  You know 2, a and b so go to the lower right.

Do you know the measure of one angle not between the sides?  Angle C is between the sides; angle A is not; the answer is Yes so drop down to the next question.

Is angle A >= 90?  Yes, it's 95, so drop to the right.

Is a > b? No, it's not, so drop to the left -- No triangle.

67 / 25 x 100  =  268%

I believe B is the correct choice

(2, -5) → (3, y)

To get the new x coordinate we multiplied 2 by a scale factor of 1.5

So -5 * 1.5 should = -7.5   instead of -2.5

0.0666666667

Note that we have two triangles here. We know an angle in each triangle and the adjacent side to that angle in the two triangles - (12ft). And we want to know the opposite side in each triangle. So we can use the tangent function to find the opposite side in each case and add these together to get the total height.

So, the height is given by

h = 12tan(36) + 12tan(42) = about 19.5 ft.

In the last two questios, it's asking for different values...Can you help me with those? :)

For the first one, the remaining angle in the triangle is 17°

So, using the Law of Sines, we have

d/sin(38) = 10/sin(17)   multiply both sides by sin(38)

d =10*sin(38)/sin(17) = about 21 ft.

The other two problems are similar to this one I just worked (using The Law of Cosines):

What equations???........there are none shown....

We can use the Law of Sines here

c/sin(67) = 12/sin(34)        ......multiply both sides by sin(67)

c = 12*sin(67)/sin(34) = about 19.8

Q3.3

Acceleration is a vector quantity, so it is non-zero if either the magnitude or direction (or both) of the velocity is changing.  Point C is the only marked point where neither the magnitude nor direction of velocity is changing, so the answer is B.

Q3.7

I'm not sure what the symbols above v and a mean, but, ignoring these:

There is a component of acceleration in the i-direction which is making the object deviate from its path in the j-direction, so the object is on a curved path.  The component of acceleration in the j-direction is in the opposite direction to the direction of the velocity, so tending to slow the object, so the answer is C.

.

3² + 4 + 5 = 

9 + 9 =

18

Another possibility

4² + (5 - 3)

16 + 2

18

[There are probably others, I'm sure !!!! ]

Let's trace this one through !!!

We know 2 side lengths

A is not greater than 90

Calculate h = bsinA = 12sin(35) = 6.88

So a > h   and a < b

So the answer is .....2 triangles, solve both