All categories

3 years ago

Which of the following is equivalent to 5 • (7 • 4)?

Mathematics

1 answer:

serg [7]3 years ago

4 0

Answer:

Its (5 x 7) x 4

Step-by-step explanation:

5 x (7 x 4)

5 x (28)

140

------------

(5 x 7) x 4

(35) x 4

140

You might be interested in

The coordinates of one point of a line segment ate (-2,-7). The line segment is 12 units long. Give three possible coordinates o

Paul [167]

Answer:

(-2, 5), (-2, -19), (5.2, 2.6)

Step-by-step explanation:

You can add ±12 to either the x- or the y-coordinate, as was done in the first two answers above.

Or, you can figure the side lengths of a triangle with hypotenuse 12 and add those to the coordinates. For example, a 3-4-5 right triangle multiplied by 2.4 will have side lengths of 7.2, 9.6 and a hypotenuse of 12. Hence we can find one of your end points to be ...

(-2+7.2, -7+9.6) = (5.2, 2.6)

4 0

3 years ago

Calculate a vector c in the same direction of the vector a and that has the same length as the vector b

Viktor [21]

For any scalar $t>0$ , $t\vec a$ is a vector pointing in the same direction as $a$ .

To force this vector to have the same length as another vector $\vec b$ , first normalize $t\vec a$ by dividing it by its norm,

$\dfrac{t\vec a}{\|t\vec a\|}=\dfrac{t\vec a}{t\|\vec a\|}=\dfrac{\vec a}{\|\vec a\|}$

then multiply this vector by the norm of $\vec b$ , so that

$\vec c=\dfrac{\|\vec b\|}{\|\vec a\|}\vec a$

To confirm that $\vec c$ has the same length as $\vec b$ :

$\|\vec c\|=\left\|\dfrac{\|\vec b\|}{\|\vec a\|}\vec a\right\|=\dfrac{\|\vec b\|}{\|\vec a\|}\|\vec a\|=\|\vec b\|$

8 0

3 years ago

Solve: 2cos(x)-square root 3=0 for 0 less than x less than 2 pi

Leona [35]

Answer:

The general solution of $cos x = cos(\frac{\pi }{6})$ is

x = 2nπ± $\frac{\pi }{6}$

The general solution values

$x = - \frac{\pi }{6} and x = \frac{\pi }{6}$

Step-by-step explanation:

Explanation:-

Given equation is

$2cosx-\sqrt{3} =0 for 0$

$2cosx =\sqrt{3}$

Dividing '2' on both sides, we get

$cos x =\frac{\sqrt{3} }{2}$

$cos x = cos(\frac{\pi }{6})$

General solution of cos θ = cos ∝ is θ = 2nπ±∝

Now The general solution of $cos x = cos(\frac{\pi }{6})$ is

x = 2nπ± $\frac{\pi }{6}$

put n=0

$x = - \frac{\pi }{6} and x = \frac{\pi }{6}$

Put n=1

$x = 2\pi +\frac{\pi }{6} = \frac{13\pi }{6}$

$x = 2\pi -\frac{\pi }{6} = \frac{11\pi }{6}$

put n=2

$x = 4\pi +\frac{\pi }{6} = \frac{25\pi }{6}$

$x = 4\pi -\frac{\pi }{6} = \frac{23\pi }{6}$

And so on

But given 0 < x< 2π

The general solution values

$x = - \frac{\pi }{6} and x = \frac{\pi }{6}$

6 0

3 years ago

Three-sevenths of a number is 21. Find the number.

miskamm [114]

Answer:

Step-by-step explanation:

The number is 49, First do 21 / 3 to find what 1/7 of the number is. We get 7, so we know 1/7 is 7 so if we do 7 x 7 we will have 7/7 or one whole and 7x7 is 49. Hope this helps

6 0

3 years ago

Read 2 more answers

Julie printed out a picture of each of the five members of her favorite band to decorate her bedroom door. Each picture measures

Gnoma [55]

The answer is 175 square inches because you have to multiply 5in•7in to get 35inches per picture and since there are five you have to multiply by 35•5=175

8 0

3 years ago