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densk [106]
3 years ago
13

Can someone please help me with this?

Mathematics
1 answer:
Ber [7]3 years ago
4 0

9514 1404 393

Answer:

  • 1.41
  • 1.99

Step-by-step explanation:

The Pythagorean theorem (see Hint) tells you the length of the hypotenuse (c) is ...

  c² = 1² + 1² = 2

  c = √2 ≈ 1.4142136 . . . units

The estimated value of the length of the hypotenuse is 1.41 units.

__

Of course the shaded square will have an area that is the square of that value:

  area = s² ≈ 1.41² ≈ 1.99 . . . . . rounded to hundredths

The estimated area of the square is 1.99 square units.

__

<em>Additional comment</em>

Of course, we don't have to estimate. We can use the exact value of the side length to determine the shaded square has an area of ...

  area = s² = (√2)² = 2 . . . . exactly

We can also get there by recognizing that the lengths of 1 represent half the length of each of the diagonals of the square. That is, the square's diagonals are both of length 2. The area is half their product, so is (1/2)(2·2) = 2 square units.

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Type the next step in the pattern. 4, 12, 6, 18, 9,
fredd [130]

Answer:

Something does not make sense...

Step-by-step explanation:

The sequence is not geometric or arithmetic because there is no common difference or common ratio between each term.

Not a Geometric or Arithmetic Sequence

3 0
3 years ago
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Which calculation could be used to determine the
mylen [45]

Answer:

6x4

Step-by-step explanation:

8 0
4 years ago
In each part (a)-(d) below, some additional assumptions about the
Viktor [21]

In the triangle, the fact that wee are given 2AX = 3XD isn't enough to prove similarity.

<h3>How to explain the triangle?</h3>

a. In the question, we are given 2AX = 3XD. An arbitrary triangle AXB can be drawn where one extends AX and choose a point D on the extended line in order for 2AX = 3XD. Also, extend BX and choose a point C on the line so that 2BX = XC. Even though they both satisfy the condition, they're not similar.

b. We are given that AX/BX = DX/CX. When this is rearranged, we'll have AX/DX = BX/CX. In this case, let AX/DX = k. DX and AX will align upon rotation of 180°. The triangle can then be dilated by a factor of k. This brings about the mapping of triangle DXC to AXB. Therefore, the original triangle DXC is similar to AXB.

c. Lines AB and CD are parallel. Here, the dilation moves line CD onto line AB. Here, since the dilation moves D to a point on ray XA, D must move to A. Therefore, the rotation of triangle DXC is similar to AXB. Therefore, DXC is similar to AXB.

d. Here, angle XAB is congruent to angle XCD. This shows similarity and in this case, XCD is similar to XAB.

Learn more about triangles on:

brainly.com/question/28021872

#SPJ1

4 0
2 years ago
Sam received a 15 percent tip for delivering pizzas. If the cost of the pizzas was $247.62, what was the total amount he collect
Anastaziya [24]
A tip is an additional payment which is voluntary contributed to the waiter to credit his efforts or service. In this case,the tip is 15%. from the original cost of $247.62, the total cost sam has to pay is $247.62 * 1.15 equal to $284. 763. it is expected to have a larger payment.
3 0
3 years ago
Read 2 more answers
The average of Johnny's two tests is a 92. What must he get on a 3rd test to raise his average to a 94?
eduard
Let's start by writing an equation for this. So in overall, there will be 3 tests. Therefore, If the first two average to 92, then the third plus those two individual scores divided by 3 will need to equal 94. Lets call the new score x.
(92 x 2 + x) / 3 = 94
184 + x = 282
x = 98
Johnny will need to get a 98 on the 3rd test to raise his average to exactly 94.
I hope this helps :-)
7 0
3 years ago
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