Multiple Choice
For the following question, assume that lines that appear to be tangent are tangent. Point O is the center of the circle. Find the value of x. Figures are not drawn to scale.

Answer: i believe it is short field

Answer:

B. Long Field

Step-by-step explanation:

Answer:

Option 3

Step-by-step explanation:

log4(x) + log4(x - 3) = log4(-7x + 21)

log4(x² - 3x) = log4(-7x + 21)

x² - 3x = -7x + 21

x² + 4x - 21 = 0

x² + 7x - 3x - 21 = 0

x(x + 7) - 3(x + 7) =0

(x + 7)(x - 3) = 0

x = -7, 3

-7 and 3, both are e extraneous solutions because logs of non-positive numbers don't exist

At x = 3,

-7x + 21 = 0

Answer: 90 degrees

Step-by-step explanation:

The angle of rotation is 90° clockwise rotation

The coordinates are given as:

A(-2, -2) to A'(-2, 2)

Remove the points

(-2, -2) to (-2, 2)

Replace the coordinates with x and y

(x, y) to (y, -x)

The above represents a 90° clockwise rotation

Hence, the angle of rotation is 90° clockwise rotation

Read more about rotation at:

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Answer: n=3, hope this helps! c:

The parabola y= ax² opens to the left.

A parabola is an approximately U-shaped, mirror-symmetrical plane curve in mathematics. It corresponds to a number of seemingly unrelated mathematical descriptions, all of which can be shown to define the same curves.

We have the parabolic equation: y= ax²

1. If 'a' is positive, the parabola will open to the right or upwards.

2. If "a" is negative, the parabola opens to the left or downward.

3. The parabola expands either upwards or downwards if x is squared.

4. The parabola opens to the left or right if y is squared.

Now, as we are given the parabola having x² and 'a' is negative.

Thus, from the points 4 and 2, we get,

The given parabola opens to the left.

Learn more about Parabola here:

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Answer:

24cm x 15cm

Step-by-step explanation:

120/5 = 24 cm

as 24 cm x 5 = 120 feet.

We check 75 feet

75/5 = 15 cm

as 15 cm x 5 = 75 feet

So the answer is 24cm x 15cm

Answer:

C

i hope this helped you

Answer:

D

Step-by-step explanation:

cause if you pay 4 times a year that means you set money aside every three months  which means that  you set 52 dollars every month

Without the exact height of the Leaning Tower of Pisa, we cannot find the specific degree of tilt. However, given the height is approximately 183.27 ft, we can use the tangent function to roughly find that the tilt is near 4.22 degrees.

The question involves the concept of trigonometry, specifically the tangent function, to calculate the angle of tilt of the Leaning Tower of Pisa. Assuming the tower forms a right triangle with the ground, we can utilize tangent, which is the ratio of the opposite side (the horizontal shift) to the adjacent side (the height of the tower) to determine the angle of tilt. Thus, the angle of tilt θ is calculated as θ = tan⁻¹(13.5/height). Unfortunately, without the exact height of the tower, we cannot give a specific degree of tilt.

However, the actual height of the tower is roughly 183.27 ft. Substituting that value into the equation gives θ = tan⁻¹(13.5/183.27), which approximates to around 4.22 degrees when calculated.

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Using trigonometry and taking into account the horizontal shift and height of the Leaning Tower of Pisa, we found that it tilts around 4 degrees from vertical. The procedure entails determining the tangent of the tilt angle and using the arctan function to calculate the angle in degrees.

The problem involves finding the tilt angle of the Leaning Tower of Pisa given its horizontal displacement. We will consider the height of the tower, which is approximately 55 meters (about 180.45 feet).

We can use trigonometry, specifically the tangent function, tan(θ) = opposite/adjacent, to find the angle of tilt. Here, the 'opposite' side is the horizontal shift (13.5 feet) and the 'adjacent' side is the height of the tower (180.45 feet).

Identify the opposite and adjacent sides:

Use the tan function to find the angle:

Calculate the tangent value:

Find the angle θ using the arctan function:

Round to the nearest degree:

Therefore, the Leaning Tower of Pisa tilts approximately 4 degrees from vertical.

Answer:

x =(7-√-3)/2=(7-i√ 3 )/2= 3.5000-0.8660i

x =(7+√-3)/2=(7+i√ 3 )/2= 3.5000+0.8660i

Step-by-step explanation:

Step by step solution :

Step  1  :

Trying to factor by splitting the middle term

1.1     Factoring  x2-7x+13

The first term is,  x2  its coefficient is  1 .

The middle term is,  -7x  its coefficient is  -7 .

The last term, "the constant", is  +13

Step-1 : Multiply the coefficient of the first term by the constant   1 • 13 = 13

Step-2 : Find two factors of  13  whose sum equals the coefficient of the middle term, which is   -7 .

     -13    +    -1    =    -14

     -1    +    -13    =    -14

     1    +    13    =    14

     13    +    1    =    14

Observation : No two such factors can be found !!

Conclusion : Trinomial can not be factored

Equation at the end of step  1  :

 x2 - 7x + 13  = 0

This may be a lot sorry it is confusing if it is wrong i'm so sorry don't come at me wrong please!

Answer:

£1690

Step-by-step explanation:

Amount invested by Brian = £1300

rate of simple interest = 10%

To find money Brian will have after three years

He will have amount invested in bank and interest earned in three years from that amount.

Simple interest for any principal amount p is given by

SI = P*R * T /100

where SI  is simple interest earned

T is time period for which simple interest is earned

R is rate of interest

Substituting value of P , R and T we have

SI = 1300*10* 3 /100 = 390

Therefor interest earned will be £390

Total money with Brian after three years = principal amount invested + interest earned in 3 years

= £1300 + £390 = £1690

Answer:

A on EDGE2020

The graph of the rectangular hyperbola that has the equation of the horizontal asymptote of y = -6 and the vertical asymptote of x = -1 will be drawn below.

The asymptotes or axes of a rectangular hyperbola are parallel to one another. The conjugate axis and transverse axes have lengths that are identical.

An asymptote is a line that constantly reaches a given curve but does not touch at an infinite distance.

The rectangular hyperbola is shifted below. Then the horizontal also gets shifted below by 6 units. Then the equation of the horizontal asymptote is given as,

y = - 6

Then the equation of the vertical asymptote is given as,

x + 1 = 0

x = - 1

The graph of the rectangular hyperbola that has the equation of the horizontal asymptote of y = -6 and the vertical asymptote of x = -1 will be drawn below.

More about the rectangular hyperbola link is given below.

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Angle 6 and angle 8 are corresponding angles, because they are in the same position, but on different parallel lines. Corresponding angles are congruent. So, if the measure of angle 8 is 119 degrees, then the measure of angle 6 is 119 degrees.

Hope this helps! :)

Answer: 97

Step-by-step explanation:

4,074 / 42

hope this helped

Answer:

Step-by-step explanation:

∠ R + ∠T =  90   {R & T are complementary}

3x + 2x = 90

5x = 90

x = 90/5

x = 18

q=8

soo

7(8)=64

64 is the final answer.

Answer:

D

Step-by-step explanation:

There are 2 cups in a pint, so 3 cups would be 1.5 pints. :)

Answer:

Reaches a maximum height of 235.00 feet in 3.75 seconds.

Step-by-step explanation:

The height of the boulder, h,  in feet after t seconds is given by the function is given by :

[tex]h=-16t^2+120t+10[/tex] .....(1)

For maximum height, put [tex]\dfrac{dh}{dt}=0[/tex]

i.e.

[tex]\dfrac{d(-16t^2+120t+10)}{dt}=0\\\\-32t+120=0\\\\32t=120\\\\t=3.75\ s[/tex]

Put t = 3.75 in equation (1). So,

[tex]h=-16(3.75)^2+120(3.75)+10\\\\h=235\ \text{feet}[/tex]

So, the boulder's maximum height is 235 feets and it takes 3.75 s to reach to its maximum height.

Answer:

16

Step-by-step explanation:

4^5/4^3

4^5-3

4^2

16

Hope this helps :)

Answer:

The cost of the pillar is $22,947.12

Step-by-step explanation:

Diameter of the pillar = 6m

Radius = diameter / 2 = 6 / 2 = 3m

Height if the pillar = 7m

Volume of the pillar = πr²h

π = 3.14

V = 3.14 × 3² × 7

V = 3.14 × 9 × 7

V = 197.82m³

Volume of the pillar is 197.82m³

If 1m³ = $116

197.82m³ will cost $x

X = (197.82 × 116) / 1

X = $22,947.12

The cost of the pillar is $22,947.12

Answer:

the answer is D

Step-by-step explanation:

i believe it because of the total

The percentage of Mountain View residents polled who supported Olunloyo is 18%.

To find the percentage of Mountain View residents who supported Olunloyo in the survey, we can use the relative frequency table provided. The relative frequency for Olunloyo in Mountain View is 0.18.

To calculate this as a percentage:

Percentage= 0.18*100%= 18%

Therefore, the percentage of Mountain View residents polled who supported Olunloyo is 18%.

So, the correct answer to the question is:

A. 18%.

The vertex of a parabola is written as (h,k) so h = 5 and k = -3.

H is subtracted from x inside parentheses and k is added at the end of the equation.

The equation is also written as y =

The answer should be D.

Answer c also works, so there are two correct answers.

qwetyi372183921=93==ews[a98

oh carp sorry my cat hates meh

i only know how to edit how do i delete answers this

isnt

what i wanna dooooooooo

sorry

Answer:

5 pounds

Step-by-step explanation:

The line plot shows that we have 3 kittens with 1/2 pounds, 2 kittens with 1 pound and 1 kitten with 1 1/2 pound.

So, to find the total weight of the kittens in the shelter, we can multiply the number of kittens by their weights, and then sum then all:

Total weight = 3 * (1/2) + 2 * 1 + 1 * (1 + 1/2)

Total weight = 3/2 + 2 + 3/2 = (3 + 4 + 3)/2 = 10/2 = 5 pounds

Answer:

A. 6

Step-by-step explanation:

[tex]a^{2}[/tex]+[tex]b^{2}[/tex]=[tex]c^{2}[/tex]

[tex]3^{2}[/tex]+[tex]5^{2}[/tex]=[tex]c^{2}[/tex]

[tex]3^{2}[/tex]=9

[tex]5^{2}[/tex]=25

25+9=34

[tex]\sqrt{34}[/tex]= 5.83

Round it and its 6

Answer:

5y = 2

Step-by-step explanation:

To solve this equation, you have to simplify both sides of the equation, and arrange the terms so that all the values with a variable are on one side, and all the values without a variable are on the other side:

8y + 4 = 6 + 2y + 1y

8y + 4 = 6 + 3y

8y - 3y = 6 - 4

5y = 2

Answer:

(a)1/3

(b)2/3

Step-by-step explanation:

This is a 6-sided number cube, therefore total possible outcomes, n(S)=6

(a)Probability of rolling a 2 OR 3 =P(2)+P(3)

[tex]=\dfrac{1}{6} +\dfrac{1}{6} =\dfrac{2}{6}\\= \dfrac{1}{3}[/tex]

(b)Probability of not rolling a 2 OR 3

In probability, the sum of the probability of an event and its complement is always 1.

Therefore:

P(Rolling a 2 or 3)+P(Not rolling a 2 or 3)=1

From part (a) above:

Probability of rolling a 2 OR 3=[tex]\dfrac{1}{3}[/tex]

Therefore:

[tex]\dfrac{1}{3}+$P(Not rolling a 2 or 3)=1\\P(Not rolling a 2 or 3)=1-\dfrac{1}{3}=\dfrac{2}{3}[/tex]

Answer:

7

Step-by-step explanation:

It just is

Answer:

4.8

Step-by-step explanation: