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zhenek [66]
3 years ago
5

The mayor knows the area needed for a flower garden in the park. She wants the base to be a certain length. How can she determin

e the necessary height to get the correct area of the flower garden? Explain.
Mathematics
1 answer:
Evgesh-ka [11]3 years ago
4 0

Answer:

Answer:The formula for the area of a parallelogram is A = bh, and the formula for area of a triangle is A = 1/2bh. Since a triangle is half of the area of a parallelogram with the same base and height, the only difference in the formula is 1/2.

Step-by-step explanation:

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Simplify the polynomial expressions by combining like terms, and then multiply the resulting
dimaraw [331]

Answer:

The simplified expression is

20x^2 - 33x - 27

Step-by-step explanation:

(6x - 9 - 2x)(8 + 5x - 5)​

We must first rewrite the expression as a product of two binomials.

This can be done by adding like terms

(6x - 9 - 2x)(8 + 5x - 5)​

We have,

(4x-9)(5x+3)

Multiplying the resulting binomial expression

(4x-9)(5x+3)

(20x^2+12x-45x-27)

Add the like terms

20x^2-33x-27

The simplified expression is

20x^2 - 33x - 27

Twenty x squared minus thirty-three x minus twenty-seven

6 0
4 years ago
Can't quite figure out the limit problem ​
alisha [4.7K]

Use the squeeze theorem; if

1 - <em>x</em> ²/4 ≤ <em>u(x)</em> ≤ 1 + <em>x</em> ²/2,

then taking the limit on each part as <em>x</em> approaches 0 gives

1 ≤ lim [<em>x</em> → 0] <em>u(x)</em> ≤ 1

and so the limit of <em>u(x)</em> as <em>x</em> → 0 is simply 1.

7 0
3 years ago
Negative 20 minus Positive 17
nikitadnepr [17]

Answer:

-3

Step-by-step explanation:

-20+17=-3

no hate but that’s simple math why does it say you’re in high school lol

6 0
3 years ago
Read 2 more answers
Can someone help me with this please
nordsb [41]

Answer:

Step-by-step explanation:

The wording on this is not the best.  It sounds like the 1 zero has even multiplicity (that's because of where the modifier is). On top of that it has an odd power.  You could try this. y =x*(x^2+1)^2

The problem is not with the power. It gives x^5. The problem is with the multiplicity of the one place where it crosses. (X^2 + 1) does factor, but it gives a complex root. I'm not sure that's allowed. However, it is the best I can do.

6 0
3 years ago
NGC is a hot air balloon in the sky from her spot on the ground. The angle of elevation from Angie to the balloon is 40°. If she
Goshia [24]

Answer:

The distance from hot air balloon to the ground  AC=50.1457 ft.

Step-by-step explanation:

Labelled diagram of given scenario is shown below.

Given that,

An angle of elevation of Hot air balloon by Angie is 40°.

When she  stepped back 200 ft then angle of elevation was 10°.

Height of Angie is  5.5 ft.

To find: How far off the ground is a hot air balloon.

So, from figure

Height of Angie (BC) = 5.5ft

  In triangle ΔABD,

         ⇒                    tan {40\si {\degree}} = \frac{AB}{BD}

         ⇒                      AB = tan (40) \times BD          ....................(1)

Now, In triangle ΔABE

         ⇒                  tan (10)= \frac{AB}{200+BD}

         ⇒                 AB = tan(10)\times (200+BD)

Here, substituting the value AB from Equation (1) we get,

                        tan(10)\times (200+BD)= tan(40)\times BD

                      tan(10)\times 200+tan(10)\times BD= tan(40)\times BD

        ⇒         BD\times (tan(40)-tan(10))=tan(10)\times 20        

        ⇒                   BD\times 0.6628 = 35.2654

        ⇒                       BD = \frac{35.2654}{0.6628} =53.2067 ft        

Now, finding the value of AB from equation (1)

                                 AB= tan(40)\times 53.2067=0.8391\times 53.2067

                                 AB=44.6457 ft              

Therefore Length of AC= AB+BC = (44.6457 + 5.5) ft

                                  AC=50.1457 ft.

Hence,

The distance from hot air balloon to the ground  AC=50.1457 ft.                

6 0
3 years ago
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