What is tge correct name for the triangle below

One fifth of a number plus three times the number is equal to twice the number plus 42. What is the number

borishaifa [10]

Equation to find number's value: $\frac{1}{5}n + 3n = 2n + 42$

Number's value: n = 35

Explanation:

Let n be the unknown number for this problem.

One fifth of a number is the same as $\frac{1}{5}n$ .

Three times the number is the same as 3n.

Twice the number plus 42 is the same as 2n + 42.

So, using the information we've gathered so far, we can create the equation that will provide us with n's value.

Equation: $\frac{1}{5}n + 3n = 2n + 42$

We can use this equation to find n's value.

You can subtract 2n from both sides to get the equation $\frac{1}{5}n + n = 42$ , which is the same thing as the equation we were using.

Now add n and $\frac{1}{5}n$ together to get $1\frac{1}{5}n$ .

After you do this, your equation should look like $1\frac{1}{5}n=42$ .

Now divide both sides by $1\frac{1}{5}$ to get n's value.

n = 35

7 0

3 years ago

How to Find the vertex of f(x)=-8x^2-8x+7

charle [14.2K]

Answer:

The answer to your question is: (1/2, 5)

Step-by-step explanation:

Parabola f(x) = 8x² - 8x + 7

y = 8x² - 8x + 7

Vertical Parabola equation

( x - h)² = 4p (y - k) Transform the original equation to this form

8x² - 8x = y - 7

8(x² - x + ( )²) = y - 7 Complete squares

8 (x² - x + (1/2)²) = y - 7 + 2 Simplification

8 (x² - x + 1/4) = y - 5

(x - 1/2)² = 1/8 (y - 5)

Finally Vertex

(1/2 , 5)

7 0

3 years ago

QueSLIUIT Which of the following is a rational number 15, V16, 127, V22

shusha [124]

Answer:

.....

Step-by-step explanation:

3 0

3 years ago

What is the 9th term of the geometric sequence 4, −20, 100, …?

sveta [45]

First, we are going to find the common ratio of our geometric sequence using the formula: $r= \frac{a_{n}}{a_{n-1}}$ . For our sequence, we can infer that $a_{n}=-20$ and $a_{n-1}=4$ . So lets replace those values in our formula:
$r= \frac{-20}{4}$
$r=-5$

Now that we have the common ratio, lets find the explicit formula of our sequence. To do that we are going to use the formula: $a_{n}=a_{1}*r^{n-1}$ . We know that $a_{1}=4$ ; we also know for our previous calculation that $r=-5$ . So lets replace those values in our formula:
$a_{n}=4*(-5)^{n-1}$

Finally, to find the 9th therm in our sequence, we just need to replace $n$ with 9 in our explicit formula:
$a_{9}=4*(-5)^{9-1}$
$a_{9}=4*(-5)^{8}$
$a_{9}=1562500$

We can conclude that the 9th term in our geometric sequence is 1,562,500

4 0

3 years ago

A suspension bridge has two main towers of equal height. A visitor on a tour ship

Scilla [17]

Answer:

The Height of the tower is 188.67 ft

Step-by-step explanation:

Given as :

The angle of elevation to tower = 15°

The distance travel closer to tower the elevation changes to 42° = 497 ft

Now, Let the of height of tower = h ft

The distance between 42° and foot of tower = x ft