a secant and tangent are drawn to a circle from a common exterior point. If the length is 14 inches and the length of the external segment of the secant is 4 inches, then it which of the following is the length,in inches, of the internal segment of the secant?

Answer:

4.41

Step-by-step explanation:

We can use trig to solve for the missing side (specifically cosine).  cos(x)=adjacent side/hypotenuse.  We have the x value (which is the angle shown) which is 25.  We have the adjacent side of that angle which is 4.  We are solving for the hypotenuse (lets call that h).  When we plug in values into the equation cos(x)=adjacent/hypotenuse, we get cos(25)=4/h.  cos 25=0.9063.  So 0.9063=4/h.  Multiply both sides by h and we get 0.9063h=4.  Now divide 0.9063 on both sides to isolate h and we get 4.4135... but since you want hundredths, its 4.41

Answer:

m = -5

Step-by-step explanation:

Step  1  :

Pulling out like terms/ factors

Add  5  to both sides of the equation :  

                     -m = 5

Multiply both sides of the equation by (-1) :  m = -5

Hope this helps.

Answer: 25%

Step-by-step explanation:

You have a 1/2 chance of landing a heads or tails both times. So, you multiply 1/2 *1/2 = 1/4. 1/4 = 0.25 = 25%.

Answer:

The function rule is:

[tex]y=-\frac{1}{2} x-1[/tex]

Step-by-step explanation:

We identify the output with the variable "y", the "input with the variable"x". Notice also that the "opposite of the input is "-x" (negative x), and therefore the words "the output is one less than half of the opposite of the input" translate into:

[tex]y=\frac{1}{2} (-x)-1\\y=-\frac{1}{2} x-1[/tex]

Answer:

B A library could have less than 12 computers.

D All libraries must have less than 35 computers.

E At least 1 library does bot have 12 computers.

Answer:

x = ± 4

Step-by-step explanation:

Given

x² - 1 = 15 ( add 1 to both sides )

x² = 16 ( take the square root of both sides )

x = ± [tex]\sqrt{16}[/tex] = ± 4

Answer:

If Josh had 27 baseballs and has 3 shelves, then if he splits the 27 between 3 he will get 9.

Step-by-step explanation:

27 ÷ 3 = 9

Hope this helps.

Answer:

24 1/2

Step-by-step explanation:

First multiply 7/2 by 5.

7/2 x 5 = 35/2

Then, multiply 35/2 by 7/5.

35/2 x 7/5 = 245/10

Simplify 245/10.

245/10 = 49/2

Convert to mixed fraction.

49/2 = 24 1/2

Therefore, the simplest form of 7/2 x 5 x 7/5 is 24 and 1/2.

Answer:

[tex]24.5[/tex]

hope this helps

brainliest appreciated

good luck!! have a nice day!

Answer:

D/ h =q

Step-by-step explanation:

D = qh

Divide each side by h to isolate q

D/ h = dh/h

D/ h =q

Step-by-step explanation: To solve for q in the equation d = qh, all we have to do is get q by itself on the right side of the equation.

Since q is being multiplied by h, to get q by itself,

we simply divide both sides of the equation by h.

On the right, the h's cancel and we are re left with q.

On the left we have [tex]\frac{d}{h}[/tex].

So our answer is [tex]\frac{d}{h} = q[/tex].

Answer:

the true statement is

All parallelograms are quadrilaterals

Step-by-step explanation:

The answer is that ''All squares are rhombuses'' and ''All parallelograms are quadrilaterals.'' It can't be ''All rectangles are squares.'', because it is not valid. But if it were the other way around it would be correct. It can't be "All rhombuses are rectangles." because it's not valid. Only some can be rectangles.

                                          P.S. Hope this helps!

Answer:

(7²+(1-5))×3=

Step-by-step explanation:

Let's try this

(7²+(1-5))×3=

(49-4)×3=

45×3=

135

(Worked first try :o!)

Answer:

52 teachers

Step-by-step explanation:

27x+2x=754

29x=754

x=26

2(26)=52

The number of teachers are 52.

A word problem is a verbal description of a problem situation. It consists of few sentences describing a 'real-life' scenario where a problem needs to be solved by way of a mathematical calculation.

For the given situation,

Total number of people = 754

The ratio of students to teachers = 27:2

Let x be the number of people

then,

⇒ [tex]27x+2x=274[/tex]

⇒ [tex]29x=274[/tex]

⇒ [tex]x=\frac{274}{29}[/tex]

⇒ [tex]x=26[/tex]

Thus number of students = [tex]27x[/tex]

⇒ [tex]27(26)=702[/tex]

and number of teachers = [tex]2x[/tex]

⇒ [tex]2(26)=52[/tex]

Hence we can conclude that the number of teachers are 52.

Learn more about word problems here

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Answer:

1.625 kilograms

Step-by-step explanation:

Since total weight of pears and apples is 6.5 kilograms and 3/4 of this weight is pears, the weight of the pears is

→ 6.5 x 3/4 = 4.875 kilograms

Since the weight of the pears is 4.875, we can subtract it from the total weight to find the weight of the apples

→ 6.5 - 4.875 = 1.625 kilograms

Answer:

1.625 kg

Step-by-step explanation:

Total weight sold by the farmer =6.5 kilograms

If 3/4 of the weight is pears:

Weight proportion of apple[tex]=1-\frac{3}{4}= \frac{1}{4}[/tex]

Therefore:

Weight of Apples sold at the market [tex]= \frac{1}{4} X 6.5 kg\\[/tex]

=1.625 kg

The farmer sold 1.625 kilograms of apple.

Answer:

this explanation is false

Answer:

25

Step-by-step explanation:

Move 125^4/3 to the numerator using the negative exponent rule 1/b^n=b^-n.

125^2 x 125^4/3

Simplify the expression.

5^3(2/3)

Cancel the common factor of 3.

5^2

Raise 5 to the power of 2.

25

Answer:

8.4 * x = 23.94

Step-by-step explanation:

The numbers of gallons times the cost per gallon equals the total cost

8.4 * cost = 23.94

Let x be the cost

8.4 * x = 23.94

Answer:

A... 8.4x=23.94

From that equation, we can solve

Answer:

56.55

Step-by-step explanation:

Answer:

The margin of error corresponding to a 95% confidence interval for the true mean cholesterol content, μ, of all such eggs is of 1.495 miligrams.

Step-by-step explanation:

We have that to find our [tex]\alpha[/tex] level, that is the subtraction of 1 by the confidence interval divided by 2. So:

[tex]\alpha = \frac{1-0.95}{2} = 0.025[/tex]

Now, we have to find z in the Ztable as such z has a pvalue of [tex]1-\alpha[/tex].

So it is z with a pvalue of [tex]1-0.025 = 0.975[/tex], so [tex]z = 1.96[/tex]

Now, find the margin of error E as such

[tex]E = z*\frac{\sigma}{\sqrt{n}}[/tex]

In which [tex]\sigma[/tex] is the standard deviation of the population and n is the size of the sample.

In this question:

[tex]\sigma = 8, n = 110[/tex]. So

[tex]E = 1.96\frac{8}{\sqrt{110}} = 1.495[/tex]

The margin of error corresponding to a 95% confidence interval for the true mean cholesterol content, μ, of all such eggs is of 1.495 miligrams.

The slope of any line parallel to this line would be c) 3/7.

Parallel lines are those lines that are equal distances apart and often of the same length. So, for the given slope where we have parallel lines, we can expect to have lines of the same slope. Thus we can arrive at 3/7.  

Note that parallel lines have the same slope. So, since the first slope is 3/7, we can expect the second to be the same thing.

Learn more about parallel lines here:

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Answer:

q < 3

Step-by-step explanation:

2(q–8)<–10

Divide each side by 2

2/2(q–8)<–10/2

q-8 < - 5

Add 8 to each side

q-8+8 < - 5+8

q < 3

Answer:

[tex] = q < 3[/tex]

Step-by-step explanation:

[tex]2(q - 8) < - 10 \\ 2q - 16 < - 10 \\ 2q < - 10 +1 6 \\ 2q < 6\\ \frac{2q}{2} < \frac{6}{2} \\ = q < 3[/tex]

hope this helps

brainliest appreciated

good luck! have a nice day!

Answer:

Step-by-step explanation:

Answer:

$2500 is the total cost.

Step-by-step explanation:

Area of rhombus = 40(25)/2=1000/2=500

500*5=2500

Therefore, $2500 is the total cost.

I hope this helped and have a good rest of your day!

Answer:

B. 12 + 2pi cm

Step-by-step explanation:

The shaded region is made up of 3 square sides and one half circle. The three square sides are each 4, which means that those altogether equal 12.

The circle's circumference can be found by using the equation c = (d)pi

The diameter is 4, so the whole circumference is 4pi. However, you only need half of a circle, which is represented by 2pi.

Add them all together, and you get 12 + 2pi cm.

Answer: i think B

Step-by-step explanation:

Answer:

Option B.

Step-by-step explanation:

The given equation of trend line is

[tex]y=\dfrac{4}{5}x[/tex]

where, x is time in minutes and y is amount of water in gallons.

It is given that the rate (gallons per minute) continues approximately.

We need to find the amount of water flow from the hose in 45 minutes.

Substitute x=45 in the given equation.

[tex]y=\dfrac{4}{5}(45)[/tex]

[tex]y=4\times 9[/tex]

[tex]y=36[/tex]

It means 36 gallons of water from hose in 45 minutes.

Therefore, the correct option is B.

Answer:

The correct answer is: B. The initial values of the two functions are different, and the rates of change of the two functions are the same

Step-by-step explanation: Trust me

Answer: : B. The initial values of the two functions are different, and the rates of change of the two functions are the same

Step-by-step explanation: on edgenuidy

Answer:

Step-by-step explanation:

24 is a composite number.

Prime factorization: 24 = 2 x 2 x 2 x 3, which can be written 24 = 2³ x 3

The exponents in the prime factorization are 3 and 1. Adding one to each and multiplying we get (3 + 1)(1 + 1) = 4 x 2 = 8. Therefore 24 has exactly 8 factors.

Factors of 24: 1, 2, 3, 4, 6, 8, 12, 24

Factor pairs: 24 = 1 x 24, 2 x 12, 3 x 8, or 4 x 6

Answer: they can build 26 Carousels.

Step-by-step explanation:

Answer:

33 and 22

Step-by-step explanation:

total ratio is 5

55÷5 =11 ( ratio 1)

ratio 3 : 11x3 = 33

ratio 2 : 11x2 = 22

hope this helps

Answer:

253 degree is the answer

Answer:

complementary angles

Step-by-step explanation:

The sum of the angles is 67+23 = 90

When angles sum together to 90, the are called complementary

Answer:

Option A

Step-by-step explanation:

The measures of the two angles have a sum of 90°.

[tex]67+23=90[/tex]

Therefore, they are complementary angles, since complementary angles have a total measure of 90°.

Option A is the best answer.

Brainilest Appreciated.