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Elena L [17]
3 years ago
9

She found that the area of the garden will be 127 1/2 square feet by using the equation Area=bh. I'd the height, h, of the paral

lelogram-shaped garden is 8 1/2 feet, what is the base, b, in feet?
Mathematics
1 answer:
baherus [9]3 years ago
3 0

To solve this problem yo must apply the proccedure shown below:

1. You must use the formula applied to calculate the area of the garden.

A=bh

2. You know the value of the area (127^{\frac{1}{2}}ft^{2}=127.5ft^{2} and the value of the heigth (8^{\frac{1}{2}}ft=8.5ft , therefore, you only need to solve for the base:

b=\frac{A}{h}\\b=\frac{127.5ft}{8.5ft}\\b=15ft

The answer is: 15 feet.


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-6x-14y=-20<br> -3x-7y=-10
Alex Ar [27]
ANSWER:

x = 10 / 3

y = 0

STEP-BY-STEP EXPLANATION:

We will be using simultaneous equations to solve this problem. Let's first establish the two equations which we will be using.

Equation No. 1 -

- 6x - 14y = - 20

Equation No. 2 -

- 3x - 7y = - 10

First, we will make ( x ) the subject in the first equation and simplify accordingly.

Equation No. 1 -

- 6x - 14y = - 20

- 6x = - 20 + 14y

x = ( - 20 + 14y ) / - 6

x = ( - 10 + 7y ) / - 3

From this, we will make ( y ) the subject in the second equation and substitute the value of ( x ) from the first equation into the second equation to solve for ( y ) accordingly.

Equation No. 2 -

- 3x - 7y = - 10

- 7y = - 10 + 3x

- 7y = - 10 + 3 [ ( - 10 + 7y ) / - 3 ]

- 7y = - 10 + [ ( - 30 + 21y ) / - 3 ]

- 7y = - 10 + ( 10 - 7y )

- 7y = - 7y

- 7y + 7y = 0

0y = 0

y = 0

Using this, we will substitute the value of ( y ) from the second equation into the first equation to solve for ( x ) accordingly.

x = ( - 10 + 7y ) / - 3

x = [ - 10 + 7 ( 0 ) ] / - 3

x = [ - 10 + 0 ] / - 3

x = - 10 / - 3

x = 10 / 3
6 0
3 years ago
a ramp measures 6 feet long. if the ramp is 12 inches tall, what is the horizontal distance that it covers?
svp [43]
We know that

1 ft--------> is equals to 12 in
the ramp is 12 inches tall----------> 1 ft tall
<span>A ramp measures------------------>  6 ft long
</span>
<span>applying the Pythagorean theorem
</span>c²=a²+b²
where
c-----> 6 ft long
a----> horizontal distance
b-----> 1 ft tall

a²=c²-b²------> a²=6²-1²-----> a²=35------> a=√35------> a=5.92 ft

the answer is
5.92 ft

8 0
3 years ago
25 x (10+3) in word form
FinnZ [79.3K]

Answer:

Step-by-step explanation:

25 times the sum of 10 and 3

7 0
3 years ago
Read 2 more answers
Verify that the divergence theorem is true for the vector field f on the region
schepotkina [342]
\mathbf f(x,y,z)=5x\,\mathbf i+xy\,\mathbf j+2xz\,\mathbf k

\mathrm{div}(\mathbf f)=\dfrac{\partial(5x)}{\partial x}+\dfrac{\partial(xy)}{\partial y}+\dfrac{\partial(2xz)}{\partial z}=5+x+2x=5+3x


By the divergence theorem, the flux of \mathbf f across the boundary of E is given by


\displaystyle\iint_{\mathcal S}\mathbf f\cdot\mathrm d\mathbf S=\iiint_E\mathrm{div}(\mathbf f)\,\mathrm dV

=\displaystyle\int_{z=0}^{z=2}\int_{y=0}^{y=2}\int_{x=0}^{x=2}(5+3x)\,\mathrm dx\,\mathrm dy\,\mathrm dz=64
4 0
3 years ago
I need answers for those asap
nlexa [21]

Answer: x = -5 and y = -5

Step-by-step explanation:

They drew the linear graph for the simultaneous equations on the graph already

The answer the the equations is the intersection of the lines which is (-5,-5) or x = -5 and y = -5

3 0
3 years ago
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