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3 years ago

The height of a tree is 42 inches. After 6 years the height is 15 feet 6 inches. How many inches did the tree grow each year?

Mathematics

1 answer:

statuscvo [17]3 years ago

6 0

<h3><u>Given :-</u></h3>

<u />

Height of the tree = 42 inches.

Height of the tree after 6 years = 15 feet 6 inches.

<u />

Number of inches the tree grew each year.

<h3><u>Solution :-</u></h3>

<u />

Height of the tree after 6 years,

→ 15 feet 6 inches = 186 inches.

→ 186 - 42 = 144 inches.

Height of the tree after 1st year = 144/6 = 64

∴ The tree grows 24 inches in each year.

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-<br>nun<br>THE SUM OF THREE TIMES A<br>Numbers and 11

Vikentia [17]

Answer:

3x + 11

Step-by-step explanation:

Remember BPEMDAS.

"Three times a number" is saying multiply 3 times a variable; in this case, <em>x</em>. So we have 3x

"The sun of 3x and 11" is saying add our 3x and 11, so: 3x + 11

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3 years ago

Solve |2x - 5| = 4 someone help

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3 years ago

Which equation represents a line that is perpendicular to line PQ?

valentinak56 [21]

Answer:

B. y=1/3x+4

Step-by-step explanation:

Hi there!

We are given the line PQ and we want to find the line that is perpendicular to it

Perpendicular lines have slopes that are negative and reciprocal. When they are multiplied together, the result is -1

So first, let's find the slope of the line PQ

The point P is given as (-8, 7) and the point Q is given as (-4, -5)

The formula for the slope calculated from two points is $\frac{y_2-y_1}{x_2-x_1}$ where ( $x_{1}$ $y_1$ ) and ( $x_2$ , $y_2$ ) are points

We have the needed information for the slope, but let's label the values of the points to avoid any confusion

x1=-8

y1=7

x2=-4

y2=-5

Now substitute into the formula (m is the slope, and remember: the formula contains SUBTRACTION):

m= $\frac{(-5-7)}{(-4--8)}$

simplify

m= $\frac{-5-7}{-4+8}$

add

m=-12/4

divide

m=-3

So the slope of the line PQ is -3

As said above, perpendicular lines have slopes that have a product of -1

So to find the slope of the line perpendicular to PQ, use this formula:

-3m=-1

divide both sides by -3

m=1/3

The only line that has a slope of 1/3 is B (y=1/3x+4), so B is the answer.

Hope this helps!

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3 years ago

In your computation, approximate its value as 3.14.

andrey2020 [161]

Answer: d

Step-by-step explanation:

Find the area of the rectangle.

$A=l*w\\A=(15in)(12in)\\A=180in^2$

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$A=\pi r^2$

12 in would be the diameter, divide by 2 to get the radius.

$\frac{12}{2}=6$

Plug this into the formula.

$A=(3.14)(6)^2\\A=113.04in^2$

Since we do not have a full circle but a semi one instead, we must divide our result by 2.

$\frac{113.04}{2}=56.52in^2$

Add both areas.

180+56.52=236.52 $in^2$

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3 years ago

A circle has a diameter of 26 units. What is the area of the circle to the nearest hundredth of a square unit

Hitman42 [59]

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The area is 530.66 square units.

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3 years ago

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