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3 years ago

What does the dotted line in the diagram imply about the number of triangles you can construct from the given information

Mathematics

1 answer:

nekit [7.7K]3 years ago

3 0

Answer:

Step-by-step explanation:A triangle is aptly named: it is composed of three (tri) angles formed by three non-coincident, non-parallel lines. That the lines are non-coincident means they do not overlap, and that they are non-parallel means that each line intersects with every other line. Correspondingly, a triangle also has three sides.

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7. how many tiles measuring

Margaret [11]

Answer:

245 tiles

Step-by-step explanation:

1 meter = 100 cm

Area of bathroom = 3.5m x 2.8m = 350x280 = 9800 cm²

Area of each tile = 20cm x 20cm = 400 cm²

Total number of tiles required = 9800/400 = 245

Strictly speaking we have to find out how many tiles can be fitted in the length and breadth of the bathroom. Since the bathroom is 350 cm wide, we can fit 350/20cm = 17.5 tiles. However, there is no concept of 1/2 tile so the question has an ambiguity. along the width, we can fit 280/10 = 14 tiles

17.5 x 14 = 245 but if the question is reworded to how many tiles do we need to purchase to floor the bathroom it would be 18 x 14 = 252

5 0

2 years ago

A soda company had sales of $35,107 million in 2010 and $45,992 million in 2014. Use the Midpoint Formula to estimate the sales

Dima020 [189]

Answer:

40,550

Step-by-step explanation:

40, 550 is the mod point

8 0

2 years ago

Conduct the appropriate hypothesis test and compute the test statistic. A company that produces fishing line undergoes random te

andre [41]

Answer:

Option D) Yes, because the test statistic is -2.01

Step-by-step explanation:

We are given the following in the question:

Population mean, μ = 30 pound

Sample mean, $\bar{x}$ = 29.1 pounds

Sample size, n = 20

Alpha, α = 0.05

Sample standard deviation, s = 2 pounds

First, we design the null and the alternate hypothesis

$H_{0}: \mu = 30\text{ pounds}\\H_A: \mu < 30\text{ pounds}$

We use one-tailed(left) t test to perform this hypothesis.

Formula:

$t_{stat} = \displaystyle\frac{\bar{x} - \mu}{\frac{\sigma}{\sqrt{n}} }$

Putting all the values, we have

$t_{stat} = \displaystyle\frac{29.1 - 30}{\frac{2}{\sqrt{20}} } = -2.012$

Now,

$t_{critical} \text{ at 0.05 level of significance, 19 degree of freedom } = -1.729$

Since,

$t_{stat} < t_{critical}$

We fail to accept the null hypothesis and reject it. We accept the alternate hypothesis. Thus, there were enough evidence to conclude that the fishing line breaks with an average force of less than 30 pounds.

Option D) Yes, because the test statistic is -2.01

5 0

3 years ago

Riley counted the number of balls on one layer of a box, 34. The box has 8 layers. How many balls can the box hold?

DedPeter [7]

Answer:

8 times 34= 272

Step-by-step explanation:

7 0

2 years ago

I need to find the angles of A and B. From what I know, they should be congruent, but I've been stuck for wayyyy to long.

ANTONII [103]

Answer:

Step-by-step explanation:

If I'm not mistaken, the 76 degrees means that a is equal to 76 deg. Just visually, if you were to widen that angle, similarly, a would grow just as much.

If you know that a = 76d, b = 76d as well

8 0

2 years ago