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2 years ago

In the diagram, rectangle ABCD is split in half by AC . What is the value of tan x?

Mathematics

1 answer:

mamaluj [8]2 years ago

6 0

Splitting the rectangle in half creates two right triangles

The value of tan(x) is 4/3

<h3>How to determine the value of tan x?</h3>

To calculate tan(x), we make use of the following tangent ratio

tan(x) = Opposite/Adjacent

From the figure, we have:

Opposite = AD = 4

Adjacent = CD = 3

So, we have:

tan(x) = 4/3

Hence, the value of tan(x) is 4/3

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How are secants related to chords

Fofino [41]

Dear Gaby,
Well I would Say that Any line that intersects a given circle at two different points is called a SECANT and part of secant intercepted between these points is called CHORD of a circle. So basically, Both are very same. ... A Chord connects two points on the circumference of a circle. I hope I could help you my friend and Keep on Rockin'

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3 years ago

2. A random sample of 30 households was selected as part of a study on electricity usage, and the number of kilowatt-hours (kWh)

Brrunno [24]

Answer:

Step-by-step explanation:

Given that n =30, x bar = 375 and sigma = 81

Normal distribution is assumed and population std dev is known

Hence z critical values can be used.

For 95% Z critical=1.96

Margin of error = $1.96(\frac{81}{\sqrt{30} } )=29$

Confidence interval = 375±29

=(346,404)

B) 99% confidence

Margin of error = 2.59*Std error =38

Confidence interval = 375±38

=(337, 413)

C) For 90%

Margin of error = 20

Std error = 20/1.645 = 12.158

Sample size

$n=(\frac{81}{12.158} )^2\\=44.38$

Atleast 44 people should be sample size.

8 0

3 years ago

Three Texas drovers met on a highway and began to dicker as follows:

Alik [6]

Answer:

Jim's: 7
Duke's: 21
Hank's: 11

Step-by-step explanation:

Let J, D, and H represent the drove sizes of Jim, Duke, and Hank.

2(H -6 + 1) = (J +6 -1) . . . . . Hank's offer

3(D -14 +1) = (H +14 -1) . . . . Duke's offer

6(J -4 +1) = (D +4 -1) . . . . . . Jim's offer

These equations can be simplified to ...

2H - J = 15

3D - H = 52

6J - D = 21

Solution

Adding twice the second equation to the first gives ...

2(3D -H) +(2H -J) = 2(52) +(15)

6D -J = 119

Adding 6 times the third equation to this one gives ...

6(6J -D) +(6D -J) = 6(21) +(119)

35J = 245

J = 7

Using this value in the third equation gives ...

6(7) -D = 21

42 -21 = D = 21

Using the value of J in the first equation gives ...

2H -7 = 15

H = (15 +7)/2 = 11

Then the solution is (J, D, H) = (7, 21, 11).

Jim's drove had 7 animals; Duke's drove had 21 animals; Hank's drove had 11 animals.

5 0

3 years ago

Which tiles should be added to the model below to make zero?

Blizzard [7]

Answer:

6 positive tiles

Step-by-step explanation:

6-6 is zero

7 0

3 years ago

Which is a way to use prime factorization to find the least common multiple (LCM) of 9 and 12?

ohaa [14]

Answer:

Step-by-step explanation:

5 0

3 years ago

In the diagram, rectangle ABCD is split in half by AC . What is the value of tan x?​

In the diagram, rectangle ABCD is split in half by AC . What is the value of tan x?