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Ket [755]
3 years ago
15

Find the length of DA.

Mathematics
1 answer:
suter [353]3 years ago
8 0

This is a power of a point problem.


So we have DA*DB = DY*DZ


or 3x*(3x+8) = x*(32+x)


9x^2 + 24x = 32x + x^2


8x^2 -8x = 0

(we can eliminate 0 as an option)


8x - 8 = 0

8x = 8


x = 1


DA = 3*1

DA = 3


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If 0.00005893 is expressed in the form 5.893 × 10n, what is the value of n ?
yan [13]
In the scientific value of 5.893 x 10n. The standard value is 0.00005893 what is n? To better illustrate this phenomenon, we can explain it further under the rules of scientific notation.
For example. <span><span>
1. </span><span> 3 x 10^3 = 3 x 100 = 300</span></span>
<span><span>2. </span><span> 3 x 10^-3 = 3 x 0.001 = 0.003</span></span>

Solution:
0.00005893 = 5.893 x 0.00001 = 5.893 x 10^-5  
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7 0
4 years ago
A ladder is leaning against a tall wall with the foot of the ladder placed at 7 feet from the base of the wall and the angle of
djverab [1.8K]

Complete question is;

A 21 ft ladder is leaning against a tall wall with the foot of the ladder placed at 7 feet from the base of the wall and the angle of elevation is?

Answer:

θ = 70.5°

Step-by-step explanation:

The angle of elevation simply means the angle that the ladder makes with the ground. Let's call this angle θ.

I've attached a diagram showing the triangle made by this ladder and the wall.

From the attached diagram, we can see the triangle formed by the ladder and the wall.

We can find the angle of elevation θ from trigonometric ratios.

Thus;

7/21 = cos θ

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θ = cos^(-1) 0.3333

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7 0
3 years ago
Martin decided to buy 2 bags of grapes weighing 5 and two-thirds pounds each, instead of the 3 bags weighing 4 and one-fifth pou
Juli2301 [7.4K]

Answer: He ended up with about 1 pound less grapes

Step-by-step explanation:

2 bags of grapes weighing 5 and two-thirds pounds each will give a total weight of:

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= 11 1/3 pounds

3 bags weighing 4 and one-fifth pounds each, will give a weight of:

= 3 × 4 1/5

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= 12 3/5

He ended up buying lesser grapes. This was about 12 3/5 - 11 1/3 = 1 4/15 less. This means that he ended up with about 1 pound less grapes

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3 years ago
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Advocard [28]

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Andrews [41]

Answer:

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Step-by-step explanation:

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=44x+8-30x-15

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7 0
4 years ago
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