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1 year ago

Can someone help with number 28 and explain how todo it

Mathematics

1 answer:

Vesnalui [34]1 year ago

6 0

Base on tangent and secant rule for intersection,

The length of WZ is 12.

The angle of the arc XZ is 39 degrees.

<h3>What is tangent of a circle</h3>

The tangent to a circle is defined as a straight line that touches the circle at a single point.

Therefore,

WX × WY = WZ²

8 × (10 + 8) = WZ²

8 × 18 = WZ²

WZ² = 144

WZ = √144

WZ = 12

74° = 1 / 2(187 - arc XZ)

74 = 93.5 - arcXZ / 2

-19.5 = - arcXZ / 2

-39 = - arcXZ

-arcXZ = 39°

learn more on tangent here: brainly.com/question/12655272

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The function f(x) = 6x + 8 is transformed to function g through a horizontal stretch by a factor of 5. What is the equation of f

elixir [45]

Answer:

$g(x) = 30\cdot x +40$ ; $a \approx 1.898$ , $k = 40$ .

Step-by-step explanation:

The resultant function is obtained by multiplying $f(x)$ by a real number $k$ . That is:

$g(x) = k \cdot f (x)$

If $k = 5$ and $f(x) = 6\cdot x + 8$ , then $g(x)$ is:

$g(x) = 5\cdot (6\cdot x + 8)$

$g(x) = 30\cdot x +40$

Given that presence of the expression $g(x) = 6^{a}\cdot x + k$ , then:

$6^{a} = 30$ and $k = 40$

The value of a is obtained by applying the definition of logarithms:

$a = \log_{6}30$

$a \approx 1.898$

Finally, the value of k is found by direct comparison:

$k = 40$

6 0

2 years ago

100 POINTS! NEED HELP QUICKLY! Look at picture below

Delvig [45]

Answer:

60, 75

150 165

240 255

330 345

Step-by-step explanation:

csc 4 theta = -2 sqrt(3)/3

Write in terms of sin

1/ sin (4 theta) = -2 sqrt(3)/3

Using cross products

-2 sqrt(3) = 3 sin (4 theta)

Divide each side by 3

-2 sqrt(3)/3 = sin (4 theta)

Take the inverse sin on each side

sin ^ -1(-2 sqrt(3)/3) = sin ^ -1 (sin (4 theta))

240 +360n = 4 theta

and 300 +360n = 4 theta where n is an integer

Dividing each side by 4

240/4 +360n/4 = 4/4 theta and 300/4 +360n/4 = 4/4 theta

60 + 90n = theta and 75 +90n = theta

We want all the values between 0 and 360

Let n=0

60, 75

n=1

60+90=150 and 75+90 =165

n=2

60+180= 240 75+180=255

n=3

60+270 = 330 75+ 270 =345

7 0

2 years ago

Given the area of a triangle is 25x2 + 10x - 8 and the base is 5x + 4, write the algebraic expression for the height.

agasfer [191]

Answer:

the height is 5x-2

Step-by-step explanation:

factor 25x^2+10x-8=(5x-2)(5x+4)

$\frac{(5x-2)(5x+4)}{5x+4}$

cancel like terms

height = 5x-2

5 0

1 year ago

There are 15 candidates for 4 job positions.

Veronika [31]

Answer:

32760 ways

Step-by-step explanation:

Given

Number of Candidates = 15

Job Positions = 4

Required:

Number of outcomes

This question represent selection; i.e. selecting candidates for job positions;

This question can be solved in any of the following two ways

Method 1.

The first candidate can be chosen from any of the 15 candidates

The second candidate can be chosen from any of the remaining 14 candidates

The third candidate can be chosen from any of the remaining 13 candidates

The fourth candidate can be chosen from any of the remaining 12 candidates

Total Possible Selection = 15 * 14 * 13 * 12

<em>Total Possible Selection = 32760 ways</em>

Method 2:

This can be solved using permutation method which goes thus;

$nPr = \frac{n!}{(n-r)!}$

Where n = 15 and r = 4

So;

$nPr = \frac{n!}{(n-r)!}$ becomes

$15P4 = \frac{15!}{(15-4)!}$

$15P4 = \frac{15!}{11!}$

$15P4 = \frac{15*14*13*12*11!}{11!}$

$15P4 = 15*14*13*12$

$15C4 = 32760$

<em>Hence, there are 32760 ways</em>

8 0

2 years ago

Anyone wanna help with this iready question?

Illusion [34]

Answer:

3 ticket = 21 $

5 ticket = 35$

so 1 ticket = 7$

9 ticket = 63$

2$ discount

total amount = 61$

Mark my answer as brainlist answer.

7 0

2 years ago