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Vesna [10]
3 years ago
11

Help pls i need this luv you guys ,<333

Mathematics
1 answer:
bagirrra123 [75]3 years ago
7 0

Answer:

x ≈ 3.1 ft

Step-by-step explanation:

The segment from the centre to the chord is a perpendicular bisector, thus

The triangle is right with base = \frac{1}{2} x

Applying Pythagoras' identity to the right triangle, then

(\frac{1}{2} x )² + 1.4² = 2.1²

\frac{1}{4} x² + 1.96 = 4.41 ( subtract 1.96 from both sides )

\frac{1}{4} x² = 2.45 ( multiply both sides by 4 )

x² = 9.8 ( take the square root of both sides )

x = \sqrt{9.8} ≈ 3.1 ft ( to the nearest tenth )

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Austin is a human resources executive for a technology company. He is deciding between two types of plans for vacation allowance
ElenaW [278]

The question requires that we have to state the hypothesis:

null hypothesis;H0: u1 < u2, the alternate hypothesis;H1: u1 > u2. The one tail test is what is to be used.

<h3>A. How to state the hypothesis</h3>

H0: u1 < u2

H1: u1 > u2

The one tail test statistic is what is to be used here

<h3>B. standard error </h3>

\sqrt{\frac{30.8}{17} +\frac{6.1}{15} }

= 1.49

The df = 17 + 15 - 2

= 30

test statistic = 18.9 - 17.4 / 1.49

= 1.007

We have the critical value on excel as T.INV(0.9,30)

=  1.310

E. At 0.1, we can conclude that  t-value (1.007) does not lies in the rejection area. We fail to reject the null hypothesis. Hence we conclude that the mean vacation with the unlimited plan is greater.

Read more on statistics here brainly.com/question/7597734

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What is the conjugate<br> 2/4+3i
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3 years ago
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pychu [463]

Given:

The figure of a rhombus QRST.

To find:

A. The value of x.

B. The measure of angle RQP.

Solution:

A. We need to find the value of x.

We know that the diagonals of a rhombus are perpendicular bisectors. It means the angles on the intersection of diagonals are right angles.

m\angle RPS=90^\circ                       [Right angle]

(5x+15)^\circ=90^\circ

(5x+15)=90

5x=90-15

5x=75

Divide both sides by 5.

x=\dfrac{75}{5}

x=15

Therefore, the value of x is 15.

B. We need to find the measure of angle RQP.

From the given figure, it is clear that

m\angle RQP=(2x+3)^\circ

Putting x=15, we get

m\angle RQP=(2(15)+3)^\circ

m\angle RQP=(30+3)^\circ

m\angle RQP=33^\circ

Therefore, the measure of angle RQP is 33 degrees.

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