Find the value of c using the given chord and secant lengths in the diagram

Answer:

4.399231874 or radical (60.8/pi)

btw radical is square root

Step-by-step explanation:

Since the area of 1/4 (90/360) of the circle is 15.2 ft^2, the area of the whole circle must be

15.2*4 = 60.8.

Now, we can work backwards to find the radius using the are formula. Let's say the radius is x.

x^2pi = 60.8

x^2 = 60.8/pi

x = radical(60.8/pi)

Answer:

x = 12

Step-by-step explanation:

\( \because BD \perp AC... (given) \\\\

\therefore m\angle DBA =90\degree... (1)\\\\

\because m\angle DBA=(7x + 6)\degree... (2)\\\)

From equations (1) & (2)

\((7x + 6)\degree= 90\degree \\\\

7x + 6 =90\\\\

7x = 90 - 6\\\\

7x = 84\\\\

x = \frac{84}{7}\\\\

\huge \orange {\boxed {x = 12}} \)

The only possible value of "a" that satisfies the given equations is a = 5.

The possible values of "a" that satisfy the given equations, let's solve the system of equations:

a + ab = 250 ---(1)

a - ab = -240 ---(2)

We can solve this system by using the method of substitution. Rearranging equation (2), we get:

a = ab - 240 ---(3)

Substituting equation (3) into equation (1), we have:

(ab - 240) + ab = 250

2ab - 240 = 250

2ab = 250 + 240

2ab = 490

ab = 490/2

ab = 245

Now we have the value of "ab."

We can substitute this back into equation (3) to solve for "a":

a = (245) - 240

a = 5

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Answer:

C

Step-by-step explanation:

Answer:

okay find the numbers the equal the for exmaple like w=9 right 5+4=9

Step-by-step explanation:

so keep doing that to Doing that to all if i am wrong sorry have a nice day tho :D

Answer:

The answer would be 1.95

Step-by-step explanation:

Work Shown:

Plug x = 4.3 into the equation given

ŷ = 2.6 − 3.1x

ŷ = 2.6 − 3.1(4.3)

ŷ = 2.6 − 13.33

ŷ = -10.73

Note: The symbol ŷ is read as "y hat". It's used to estimate the y value when it comes to regression equations.

Answer:

VA(t) =vB(t)-50

Step-by-step explanation:

Answer:A

Step-by-step explanation:

Vᴀ() = Vʙ () - 50

The required container can hold (10/3) times the amount of water poured into it.

The equation model is defined as the model of the given situation in the form of an equation using variables and constants.

Here,
Let's assume the container can hold "x" gallons of water.

According to the problem, the container is 1/5 full initially, which means it contains (1/5)x gallons of water.

After pouring in some water, it is 7/10 full, which means it contains (7/10)x gallons of water.

The difference between the initial and final amounts of water is the amount of water poured into the container. Therefore, we can set up an equation:

(7/10)x - (1/5)x = the amount of water poured into the container

(7/10 - 1/5)x = (3/10)x = the amount of water poured into the container

We know that this amount of water is in gallons, so we have:

(3/10)x = the amount of water poured into the container in gallons

We can solve for "x" by dividing both sides by 3/10:

x = (the amount of water poured into the container in gallons) / (3/10)

x = (10/3) x (the amount of water poured into the container in gallons)

Therefore, the container can hold (10/3) times the amount of water poured into it.

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Answer:

-22=22

Step-by-step explanation:

3,5-5,7=

-22/22

The equation of the line passing through R and PQ is 4(y - 6) = -x - 1/2.

To find the equation of the line passing through the midpoint R and the points P and Q, we first need to find the coordinates of the midpoint R. The midpoint coordinates can be found by taking the average of the x-coordinates and the average of the y-coordinates of P and Q.

The x-coordinate of the midpoint R is (3 + (-5)) / 2 = -1/2.

The y-coordinate of the midpoint R is (5 + 7) / 2 = 6.

So, the coordinates of the midpoint R are (-1/2, 6).

Next, we can use the two-point form of the equation of a line, which states that the equation of the line passing through points (x₁, y₁) and (x₂, y₂) is given by:

(y - y₁) = (y₂ - y₁) / (x₂ - x₁) \(\times\) (x - x₁)

Substituting the coordinates of R (-1/2, 6) and P (3, 5) into the equation, we have:

(y - 6) = (7 - 5) / (-5 - 3) \(\times\)(x - (-1/2))

Simplifying the equation:

(y - 6) = (2 / -8) \(\times\)(x + 1/2)

(y - 6) = -1/4 \(\times\)(x + 1/2)

4(y - 6) = -x - 1/2

Therefore, the equation of the line passing through R and PQ is 4(y - 6) = -x - 1/2.

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Answer:

Step-by-step explanation:

Given That:

Let A = {the first board is green} and B = {the second board is green}.

A lumber company has just taken delivery on a shipment of 10,000 2×4 boards.

Suppose that 10% of these boards (1000) are actually too green to be used in first-quality construction. Two boards are selected at random, one after the other.

We are to compute the following probabilities :

P(A)

P(B)

P(A ∩ B)

To start with the probability P(A)

\(P(A) = \dfrac{1000}{10000}\)

P(A) = 0.1

\(P(B) = P(B|A)*P(A)+P(B|A')*P(A')\)

where;

\(P(B|A) = \dfrac{N(B|A)}{N-1}\)

\(P(B|A) = \dfrac{999}{9999}\)

\(P(B|A) =0.0999\)

\(P(B|A') = \dfrac{N(B|A')}{N-1}\)

\(P(B|A') = \dfrac{1000}{999}\)

\(P(B|A') = 0.10\)

Recall that :

\(P(B) = P(B|A)*P(A)+P(B|A')*P(A')\)

\(P(B) = 0.0999*0.1+0.10*(1-0.1)\)

\(P(B) = 0.00999+0.10*(0.9)\)

\(P(B) = 0.00999+0.09\)

\(P(B) = 0.0999\)

P(A ∩ B) = P(B|A)B

P(A ∩ B) = 0.0999 × 0.10

P(A ∩ B) = 0.00999

(b)

Given that A and B are independent; Then:

P(A ∩ B) = P(A) × P(B)

0.00999 = 0.1 × 0.09999

0.00999 =  0.00999

As such A and B are independent

However; when P(A ∩ B) = P(A) = P(B) = 0.1

P(A ∩ B) = P(A) × P(B)

P(A ∩ B) = 0.1 × 0.1

P(A ∩ B) =  0.01

Answer:

24

Step-by-step explanation:

The formula for area of any triangle is (length * width) * 1/2. This makes the angle of 90 degrees irrelevant.

6 x 8 = 48

48 / 2 = 24

Answer:

angle 1 is 45 degrees

Step-by-step explanation:

all triangles are equal to 180 degrees

59+76 + x = 180

x =45

Approximately 99.7% of scores lie in the shaded region.

We have,

The empirical rule, also known as the 68-95-99.7 rule, provides an estimate of the percentage of scores that lie within a certain number of standard deviations from the mean in a normal distribution.

According to this rule:

Approximately 68% of scores lie within 1 standard deviation of the mean.

Approximately 95% of scores lie within 2 standard deviations of the mean.

Approximately 99.7% of scores lie within 3 standard deviations of the mean.

Now,

In the given scenario, the shaded region represents the area between -2 and 3 standard deviations from the mean on the x-axis.

This encompasses the area within 3 standard deviations of the mean.

And,

Since 99.7% of scores lie within 3 standard deviations of the mean, we can estimate that approximately 99.7% of scores lie in the shaded region.

Therefore,

Approximately 99.7% of scores lie in the shaded region.

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Answer:

a)(2x+1)² - 3

4x² + 4x + 1 - 3

4x² + 4x - 2

4(-2)² + 4(-2) - 2

16 - 8 - 2

6 (final answer)

b) 4(3)² + 4(3) - 2

36 + 12 - 2

46 ( final answer)

c) 2(x²-3) + 1

2x² - 6 + 1

2(3)² - 5

18 - 5

13(final answer)

Answer:

[D]

Step-by-step explanation:

Graph using the end point and a few selected points.

x            y

0           2

1            3

2        3.41

Graph is below:

[RevyBreeze]

Answer:

option (c)

Step-by-step explanation:

4*6*5

please mark as brainliest

Answer:

what grade

Step-by-step explanation:

The intersection of two regular pentagons can be a square. Option D

A pentagon is known as a geometrical shape with five sides and five angles.

The sum of all the interior angles for a regular pentagon is 540 degrees.

Properties of a pentagon:

Pentagons intersect to form a kite- shaped region which could also be an equilateral or square

Thus, the intersection of two regular pentagons can be a square. Option D

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Answer:

Step-by-step explanation:

36 - 4

Step-by-step explanation:

(6x - 2)(6x + 2)

= (6x)(6x) + (6x)(-2) + (2)(6x) + (-2)(2)

= 36 - 12x + 12x - 4

= 36 - 4

Answer:

5 overtime hours

Step-by-step explanation:

Given that :

Pay per hour = 240

Overtime pay = 1 1/2 * pay per hour = 1 1/2 * 240 = 360 per hour

Amount earned for the week = 11400

Let overtime hours = x

Total hours worked = 40 + x

Earning for the week based on hours worked :

240(40) + 360x = 11400

9600 + 360x = 11400

360x = 1800

x = 1800 / 360

x = 5 hours

Answer:

64 is a composite number, and it is 8 squared. 64 = 1 x 64, 2 x 32, 4 x 16, or 8 x 8. Factors of 64: 1, 2, 4, 8, 16, 32, 64. Prime factorization: 64 = 2 x 2 x 2 x 2 x 2 x 2, which can also be written 64 = 2⁶.

Answer:

expected profit=$-3

Step-by-step explanation:

1 tail=-5

1 head=3

3/2=1.5

1.5*3=4.5

1.5*-5=-7.5

4.5-7.5=-3

$-3

The total time taken for the entire journey is 2.8 hours.

To calculate the total time taken for the entire journey, we can use the formula:

Time = Distance / Speed

For the first part of the journey, the car travels a distance of 112 km at an average speed of 70 km/h. Using the formula, the time taken for this part is:

Time1 = 112 km / 70 km/h = 1.6 hours

For the second part of the journey, the car travels a further distance of 60 km at an average speed of 50 km/h. Again, using the formula, the time taken for this part is:

Time2 = 60 km / 50 km/h = 1.2 hours

To find the total time for the entire journey, we sum up the times for both parts:

Total Time = Time1 + Time2 = 1.6 hours + 1.2 hours = 2.8 hours

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Answer:

The answer would be 0.64285714285

Step-by-step explanation:

You just add both of the fractions you showed above

Answer:

.9657

Step-by-step explanation: