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HIGH SCHOOL MATH ....

umka21 [38]

Answer:

The value of $B (base\ area) = 27m^2$

Step-by-step explanation:

Let's recall the the formula for volume of a pyramid.

Volume of a Pyramid $= \frac{1}{3}\times B\times H}$ ....equation $(1)$

where $B=Base\ area (m^2)$ and $H=height\ (m)$

Now we have been given the values of $V$ and $H$ and have to find the value of $B$

Plugging the values of $V$ and $H$ in equation $(1)$

$B=\frac{3\times V}{H}= \frac{3 \times 81}{9} = 27\ m^2$

Now we can also check our previous results.

$V = \frac{24\times 7}{3}=8 \times 7 =56\ m^3$

So, our final answer is $27\ m^2$

7 0

3 years ago

Please help me with this

creativ13 [48]

Answer:

Step-by-step explanation:

(-3,-2)

7 0

2 years ago

The coefficient in the term 7xy is

Lubov Fominskaja [6]

Answer:

The coefficient is 7

Step-by-step explanation:

The coefficient of an algebraic expression is the number that is being multiplied by a variable or multiple variables. In this case, 7 is being multiplied by x and y, so 7 is the coefficient.

5 0

2 years ago

Katrina wants to build a fence around her Square Garden the garden has an area of 121 square feet How much Fencing will Katrina

Sindrei [870]

Answer:

<em>The perimeter of the fencing is 44 feet (Option D)</em>

Step-by-step explanation:

<u>Area and Perimeter</u>

A square shape of side length (a) has an area given by:

$A = a^2$

And its perimeter is calculated as:

P = 4a

The area of Katrina's square garden is given as A=121 square feet. We need to calculate the side length by solving for a:

$a=\sqrt{121}$

a = 11 feet

Once we know the value of a, then we calculate the perimeter:

P = 4*11 = 44

The perimeter of the fencing is 44 feet (Option D)

7 0

2 years ago

Find the equation for the line that passes through the point (5,-3), and that is perpendicular to the line with the equation y-1

8090 [49]

Answer:

y+3=-4(x-5)

Explanation:

Part A

Given the line:

$y-1=\frac{1}{4}(x-2)$

We want to find the equation of a perpendicular line that passes through the point (5,-3),

First, determine the slope of the perpendicular line.

Comparing the given line with the slope-point form:

$\begin{gathered} y-y_1=m(x-x_1) \\ \implies\text{Slope},m=\frac{1}{4} \end{gathered}$

By definition, two lines are perpendicular if the product of their slopes is -1.

Let the slope of the perpendicular line = n

$\begin{gathered} \implies\frac{1}{4}n=-1 \\ n=-4 \end{gathered}$

Thus, using a slope of -4 and a point (5,-3), we find the equation of the line.

$\begin{gathered} y-y_1=m(x-x_1) \\ y-(-3)=-4(x-5) \\ y+3=-4(x-5) \end{gathered}$

The equation of the perpendicular line in the slope-point form is:

$y+3=-4(x-5)$

Part B

In order to graph the line, first, find two points on the line.

When x=0

$\begin{gathered} y+3=-4(0-5) \\ y+3=20 \\ y=20-3=17 \\ \implies(0,17) \end{gathered}$

When y=1

$\begin{gathered} 1+3=-4(x-5) \\ 4=-4(x-5) \\ \frac{4}{-4}=x-5 \\ -1=x-5 \\ x=5-1=4 \\ \implies(4,1) \end{gathered}$

Join the points (0,17) and (4,1) as shown in the graph below:

3 0

1 year ago

Need help immediately​

Need help immediately