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3 years ago

What is the measure of e?

Mathematics

1 answer:

ValentinkaMS [17]3 years ago

4 0

Answer:

$\theta = 4~radians$

Step-by-step explanation:

$s = \theta r$

$20~cm = \theta \times 5~cm$

$\theta = 4~radians$

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Trigonometry question

Olegator [25]

Answer:

acute

Step-by-step explanation:

1. It cannot be right angle as the sides does not satisfy pythagoras theorem.

2. It cannot be obtuse angle as it does not satisfy the rule:

- the length of one side of a triangle must be greater than the differnce and less than the sum of the lengths of the other two sides.

4-3 =1 <6 4+3=7>6

8 0

3 years ago

the point 3,2 lies on a circle.what is the exact length of the radius of this circle if the center is located at (-1,-4)

Crazy boy [7]

You can use the distance formula to solve this.

Distance Formula:
$d = \sqrt{(X_2 -X_1)^2 + (Y_2 - Y_1)^2}$

I am going to use point (3,2) as point 1 and (-1,-4) as point 2
Insert the points into the formula
$d = \sqrt{(X_2 -X_1)^2 + (Y_2 - Y_1)^2}$
$d = \sqrt{((-1) - 3)^2 + ((-4) - 2)^2}$
Solve:
$d = \sqrt{((-1) - 3)^2 + ((-4) - 2)^2}$
$d = \sqrt{(-4)^2 + (-6)^2}$
$d = \sqrt{16 + 36}$
$d = \sqrt{52}$
$d = \sqrt{52} = \sqrt{4}\sqrt{13}$
$d = \sqrt{52} = 2 \sqrt{13}$
$d = 2 \sqrt{13}$
$radius = 2 \sqrt{13} = 7.2111$

5 0

3 years ago

A manufacturer of banana chips would like to know whether its bag filling machine works correctly at the 419 gram setting. It is

Dahasolnce [82]

Answer:

The calculated t- value = 1.09 > 3.19 at 0.025 level of significance

Null hypothesis is rejected

There is sufficient evidence to support the claim that the bags are underfilled

Step-by-step explanation:

Step(i):-

Given the mean of the Population(μ) = 419 grams

The sample size 'n' =19

Given mean of the sample x⁻ = 412

Given variance of the sample S² = 784

S = √784 = 28

Step(ii):-

Null hypothesis: H₀: There is no sufficient evidence to support the claim that the bags are underfilled.

Alternative hypothesis: H₁:

There is sufficient evidence to support the claim that the bags are underfilled.

Test statistic

$t = \frac{x^{-} -mean}{\frac{S}{\sqrt{n} } }$

$t = \frac{412 -419}{\frac{28}{\sqrt{19} } }$

t = -1.09

|t| = |-1.09|

Degrees of freedom ν = n-1 = 19-1 =18

t₀.₀₂₅ = 3.19

Final answer:-

The calculated t- value = 1.09 > 3.19 at 0.025 level of significance

Null hypothesis is rejected

There is sufficient evidence to support the claim that the bags are underfilled

8 0

4 years ago

What is the check digits (d) for the master card number 5130 7201 2608 209d A)1 B)3 C)5 D)7

LenKa [72]

I hope this is just a maths problem coz if this is your card number I wouldn't be putting it on here for all to see.

6 0

3 years ago

Callie is installing a rectangular walkway up to her house. The width of the walkway is 5 feet and the length is 27 feet. She ne

Sergio [31]

Answer:

I hate my life I hate my life I hate my life

4 0

2 years ago