All categories

3 years ago

What is the definition of obtuse

Mathematics

2 answers:

kipiarov [429]3 years ago

7 0

An angle which is greater than 90°

o-na [289]3 years ago

6 0

An angle that is more than 90 degrees but less than 180 degrees

You might be interested in

54% of U.S. adults have very little confidence in newspapers. You randomly select 10 U.S. adults. Find the probability that the

Liula [17]

Answer:

$P(5)=0.238$

$P(x\geq 6)=0.478$

$P(x$

Step-by-step explanation:

In this case we can calculate the probability using the binomial probability formula

$P(X=x)=\frac{n!}{x!(n-x)!}*p^x*(1-p)^{n-x}$

Where p is the probability of obtaining a "favorable outcome " x is the number of desired "favorable outcome " and n is the number of times the experiment is repeated. In this case n = 10 and p = 0.54.

(a) exactly five

This is:

$x=5,\ n=10,\ p=0.54.$

So:

$P(X=5)=\frac{10!}{5!(10-5)!}*0.54^x*(1-0.54)^{10-5}$

$P(5)=0.238$

(b) at least six

This is: $x\geq 6,\ n=10,\ p=0.54.$

$P(x\geq 6)=P(6) + P(7)+P(8)+P(9) + P(10)$

$P(x\geq 6)=0.478$

(c) less than four

This is: $x< 4,\ n=10,\ p=0.54.$

$P(x$

8 0

3 years ago

Read 2 more answers

A plumbing company charges an initial fee of $50, plus an additional $26 per hour of service. A second company charges an initia

torisob [31]

The answer is C. You pay $128 in the third hour for both. Hope this helped

3 0

2 years ago

Triangle XYZ was dilated by a scale factor of 2 to create triangle ACB and cos ∠X = 2.5 over 5 and 59 hundredths. Triangles XYZ

adell [148]

Dilation involves changing the size of a shape

<h3>How to determine the relationship between the trigonometry ratios</h3>

From the question, we understand that:

The dilation of triangle XYZ gives triangle ACB

This means that, the following are corresponding points

Points X and A
Points Y and C
Points Z and B

The above means that:

The relationships between the trigonometry ratios of both triangles are:

cos(X) = cos(A), cos(Y) = cos(C) and cos(Z) = cos(B)

<h3>How to determine the measures of segments AC and AB</h3>

In (a), segments XY and XZ corresponds to the segments AC and AB

So, the product of the lengths of XY and XZ and the scale factor will result in the lengths of AC and AB,

i.e.

AC = 2 * XY and AB = 2 * XZ