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nlexa [21]
2 years ago
13

Alonso leans a 28-foot ladder against a wall so that it forms an angle of 65° with the

Mathematics
1 answer:
lorasvet [3.4K]2 years ago
7 0
The horizontal distance between the base of the ladder and the wall is: 11.8 foot
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What is the volume of the prism?
mezya [45]

Answer:

40 \frac{5}{8} cm^{3}

Step-by-step explanation:

The figure is a rectangular prism, so the formula would be Volume = length x width x height.

length =  6 \frac{1}{2} cm

width  =  2 \frac{1}{2} cm

height  =  2 \frac{1}{2} cm

If you plug everything you have in the problem into the volume equation, you would get : Volume = 6 \frac{1}{2} cm x 2 \frac{1}{2} cm x 2 \frac{1}{2} cm.

Without a calculator, I would first turn the mixed numbers into improper fractions.

  • 6 \frac{1}{2}  = \frac{13}{2}
  • 2 \frac{1}{2} = \frac{5}{2}

Volume = \frac{13}{2} x  \frac{5}{2} x  \frac{5}{2}

When you multiply everything together you should get \frac{325}{8}.

As a mixed number, that would be 40 \frac{5}{8} cm^{3}.

7 0
3 years ago
What is the domain and range of <br> f(x)=2x^2+6x+2
lbvjy [14]

As is the case for any polynomial, the domain of this one is (-infinity,  +infinity).

To find the range, we need to determine the minimum value that f(x) can have.  The coefficients here are a=2, b=6 and c = 2,

The x-coordinate of the vertex is  x = -b/(2a), which here is x = -6/4 = -3/2.

Evaluate the function at x = 3/2 to find the y-coordinate of the vertex, which is also the smallest value the function can take on.  That happens to be y = -5/2, so the range is [-5/2, infinity).

3 0
3 years ago
John haf 99 more stickers than Sally. Sally then gave John 36 more stickers. How many more stickers would John have than Sally i
densk [106]
Hi,

John haves 99 stickers. If Sally gave him 36 more that means john haves 99 + 36 = 135 more stickers than Sally.

Hope this helps.
r3t40
5 0
3 years ago
F(x)=-4x^2+7x+6 how do you work this
Ainat [17]

There actually isn't anything to 'work'.  There's no question there.

The function simply describes the relationship between two numbers.

It says that whatever you pick for the first number, the second number is

    (-4 times the square of the first one) plus (7 times the first one) plus (6) .

Your teacher may have assigned you something to do with the function,
like draw the graph of it, or find its maximum value (2.9375), or find where
it crosses the x-axis (2.381 and -0.63) or the y-axis (6).

But we can't tell what you've been assigned to do with it.  The function alone,
just as you've posted it, isn't asking a question, and doesn't call for any work.


7 0
4 years ago
As x approaches 4, the value of 4x + 3 approaches<br> Gri
gogolik [260]

Answer:

19

Step-by-step explanation:

4 \times x + 3 = 4 \times 4 + 3 = 16 + 3 = 19

3 0
3 years ago
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