All categories

3 years ago

7/8x=42 What is the value of x?

Mathematics

1 answer:

Artist 52 [7]3 years ago

3 0

$\frac{7}{8}*x=42 \\ \\x=42: \frac{7}{8} \\ \\ x=42* \frac{8}{7} \\ \\ x= \frac{336}{7} \\ \\ \boxed{x=48}$

You might be interested in

Verify the identity. cot(x - pi/2) = -tan(x)

gizmo_the_mogwai [7]

Answer:

See below.

Step-by-step explanation:

$\cot(x-\frac{\pi}{2})=-\tan(x)$

Convert the cotangent to cosine over sine:

$\frac{\cos(x-\frac{\pi}{2} )}{\sin(x-\frac{\pi}{2})} =-\tan(x)$

Use the cofunction identities. The cofunction identities are:

$\sin(x)=\cos(\frac{\pi}{2}-x)\\\cos(x)=\sin(\frac{\pi}{2}-x)$

To convert this, factor out a negative one from the cosine and sine.

$\frac{\cos(-(\frac{\pi}{2}-x ))}{\sin(-(\frac{\pi}{2}-x))} =-\tan(x)$

Recall that since cosine is an even function, we can remove the negative. Since sine is an odd function, we can move the negative outside:

$\frac{\cos((\frac{\pi}{2}-x ))}{-\sin((\frac{\pi}{2}-x))} =-\tan(x)\\-\frac{\sin(x)}{\cos(x)} =-\tan(x)\\-\tan(x)\stackrel{\checkmark}{=}-\tan(x)$

8 0

3 years ago

1. Given a sequence is defined by the explicit definition tn=n^2+n, find the 4th term of the sequence. (ie t4)

dem82 [27]

Answer:

20,

27,

3,5,9,17,33

Step-by-step explanation:

3 0

3 years ago

Read 2 more answers

Suppose the radius of a circle is 8. What is its area?

monitta

The Formula to find the Area of a circle using the radius is:
$A = \pi r^2$

r = 8
So:
$A = \pi r^2$
$A = \pi 8^2$
$A = \pi64$

And you get about 201.06193

So, the area of a circle with a radius of 8 is about 201.06

Hope this Helps :)

3 0

3 years ago

Find the measures of the angles of a right triangle where one of the two acute angles measure 8 times the otehr.

Goryan [66]

Answer:

Step-by-step explanation:

The two acute angles add up to 90 degrees. That's because every triangle has 180 degrees and a right angle is 90 degrees.

<m1 + <m2 + 90 = 180 Subtract 90 from both sides.

<m1 + <m2 + 90 - 90 = 180 - 90 Combine

<m1 + <m2 = 90

Let m1 = 9*m2 Substitute.

9m2 + m2 = 90 Combine

10 m2 = 90 Divide by 10

10m2/10 = 90/10

m2 = 9

m1 = 9*m2

m1 = 9 * 9

m1 = 81

The right angle = 90

m1 = 81

m2 = 9

8 0

3 years ago

What two integers have a sum of -7 and a product of -18?

Elis [28]

Answer:

-9 and 2

Step-by-step explanation:

-9 x 2

5 0

3 years ago

Read 2 more answers