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Mandarinka [93]
3 years ago
12

What is 95,438 - 62,804 rounded to the nearest 10 thousand

Mathematics
1 answer:
den301095 [7]3 years ago
3 0
95,438 - 62,804= 30,000 when rounded
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How do you this question? Please explain.
Nuetrik [128]

Answer:

(C) 2√15

Step-by-step explanation:

Recognize that all the triangles are right triangles, so are similar to each other. In these similar triangles, the ratio of the short side to the long side is the same for all.

... CB/CA = CT/CB

... CB² = CA·CT = 10·6 = 60 . . . . . . . . . . multiply by CA·CB; substitute values

... CB = √60 = 2√15 . . . . . . . take the square root; simplify

_____

<em>Comment on this solution</em>

The altitude to the hypotenuse of a right triangle (CB in this case) divides the hypotenuse into lengths such that the altitude is their geometric mean. That is ...

... CB = √(AC·CT) . . . . as above

This is true for any right triangle — another fact of geometry to put in your list of geometry facts.

3 0
3 years ago
Find the coordinates of the vertices of the figure formed by each system of inequalities. x + y &lt; 9 x - 2y &lt; 12 y &lt; 2x
Vladimir [108]

Answer:

b. (10, -1), (-6, -9), (2, 7)

Step-by-step explanation:

One way to solve this problem is by graphing (see attachment). In fact, that actually is the easiest way to do this.

First, graph x + y < 9 (red part on the attachment). To do this, isolate the y so that it's like a regular linear equation: y < -x + 9. Graph the line y = -x + 9 first, and then choose a point either on the left or right of the line to plug in for x and y.

Let's just choose (0, 0), which is on the left of the line: 0 < -0 + 9  ⇒  0 < 9. Since this is a true statement, we know that we should shade the left side of the equation, and not the right side.

Now, graph x - 2y < 12 (blue part on the attachment). It's the same process here as the first inequality. For this one, we find that we also shade to the "left" of the line (it's more "up" than "left", but you get the idea).

Finally, graph y < 2x + 3 (green part on the attachment). Again, it's the same process. For this, we shade to the right.

Now look at the three points that they intersect at: they are (2, 7), (-6, -9), and (10, -1). The answer is thus B.

7 0
3 years ago
Read 2 more answers
(1 point) 1. The height (in feet) and volume of usable lumber (in cubic feet) of 32 cherry trees are measured by a researcher. T
Thepotemich [5.8K]

Answer:

C. volume

Step-by-step explanation:

The response variable in this scenario would be the volume of the usable lumber. That is because this variable depends completely on the height of the cherry trees that are being measured. The higher that the cherry trees are the more volume can be expected to get from cutting these trees down. The opposite goes for trees that are smaller, they would decrease the total expected volume that will be received from the usable lumber since there would be less amount of tree to cut down.

3 0
3 years ago
Are you cyclist travels at a rate of 1.8 km/min. how far will the cycle is travel in 48 minutes
Tpy6a [65]

Answer:

86.4 km

Step-by-step explanation:

Since the cyclist travels 1.8km in a minute, he will travel 48 times that in 48 minutes:

48*1.8 = 86.4

6 0
3 years ago
-4x + 6 + 2x + 5, Solve for X
pychu [463]
-4x + 2x = -2x
6 + 5 = 11
Therefore, 11 - 2x = 0
11 = 2x
x = 11/2 = 5.5
8 0
3 years ago
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