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3 years ago

Write the sum of the numbers as the product of gcf and another sum 32+20

Mathematics

1 answer:

MA_775_DIABLO [31]3 years ago

4 0

Answer:

4 and 8

Step-by-step explanation:

Numbers that go into each

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Consider the following planes. x + y + z = 6, x + 7y + 7z = 6 (a) Find parametric equations for the line of intersection of the

Lelechka [254]

Answer:

a. $x=6,y=-6t,z=6t$

b. $\theta=29.5^{\circ}$

Step-by-step explanation:

We are given that

$x+y+z=6$

$x+7y+7z=6$

a.Substitute z=0

$x+y=6$ ...(1)

$x+7y=6$ ..(2)

Subtract equation (1) from equation (2)

$6y=0$

$y=0$

Substitute y=0 in equation(1)

$x=6$

The point (6,0,0) lie on a line.

$r_0=(x_0,y_0,z_0)=(6,0,0)$

Let $A=$

$B=$

$A\times B=\begin{vmatrix}i&j&k\\1&1&1\\1&7&7\end{vmatrix}$

$A\times B=i(7-7)-j(7-1)+k(7-1)=-6j+6k$

Therefore, the vector $a'=(a,b,c)=$

Line is parallel to vector a' and passing through the point (6,0,0).

The parametric equation is given by

$x=x_0+at,y=y_0+bt,z=z_0+ct$

Using the formula

The parametric equation is given by

$x=6,y=-6t,z=6t$

Angle between two plane

$a_1x+b_1y+c_1z=d_1$

and $a_2x+b_2y+c_2z=d_2$

$cos\theta=\frac{(a_1,b_1,c_1)\cdot (a_2,b_2,c_2)}{\sqrt{a^2_1+b^2_1+c^2_1}\cdot \sqrt{a^2_2+b^2_2+c^2_2}}$

Using the formula

$cos\theta=\frac{(1,1,1)\cdot(1,7,7)}{\sqrt{1+1+1}\times \sqrt{1+7^2+7^2}}$

$cos\theta=\frac{1+7+7}{\sqrt 3\times 3\sqrt{11}}$

$cos\theta=\frac{15}{3\sqrt{33}}}=\frac{5}{\sqrt{33}}$

$\theta=cos^{-1}(0.87)=29.5^{\circ}$

Where $\theta$ in degree.

3 0

3 years ago

___ probability is the predicted ratio of favorable outcomes to the total number of outcomes.

tensa zangetsu [6.8K]

Answer:

theoretical probability

3 0

3 years ago

1.995 x 10 to the negative power of 23?

Lesechka [4]

199500000000000000000000

4 0

3 years ago

PLEASE HELP ASAP!!! I NEED CORRECT ANSWERS ONLY PLEASE!!!

stealth61 [152]

Answer:

BD = 8.8

Step-by-step explanation:

You have a right triangle.

The hypotenuse is BD

The side opposite the 27o angle is 4

Sin(27) = opposite / hypotenuse.

Sin(27) = 0.45399

opposite = 4

hypotenuse = ?

0.45399 = 4/hypotenuse

BD = 4/0.45399

BD = 8.811

The answer is 8.8

4 0

3 years ago

Read 2 more answers

adam walk 2 miles a day for the first week of his exercise plan. the he walk 3 miles a day for the next 9 days. how many miles d

Digiron [165]

Answer:

41 miles

Step-by-step explanation:

The first week, which is 7 days, Adam walked 2 miles a day. So, we have the multiplication equation: 2 * 7 = 14 miles.

For the next 9 days, Adam walked 3 miles per day. So, we have the multiplication equation: 3 * 9 = 27 miles.

Now, we just add these two values together:

14 + 27 = 41 miles

Thus, the answer is 41 miles.

Hope this helps!

7 0

3 years ago