Leslie and Surekha were standing on opposite sides of a road. Suddenly, they spotted a puppy stranded on the road and both rushed straight to where the puppy was, to pick it up. If Leslie ran at an angle of 35 degrees to the edge of the road and Surekha at an angle of 70 degrees, at what angle did their path meet?

Answer:

125yd

option b is correct

The height of the arch from the ground will be 125 yards.

Given information:

An architect is designing a commemorative steel arch in the shape of a parabola.

Parabola is vertically placed and its legs are 300 yards apart.

The focus of the parabola is 80 yards above the ground.

Let a be the distance of focus from the vertex of the parabolic arch.

So, the equation of parabola will be,

[tex]x^2=-4ay[/tex]

Assume the origin is placed on the vertex of the parabola.

So, the coordinates of the legs will be,

(-150, -(80+a)) and (150, -(80+a))

Satisfy the above point with the equation of parabola as,

[tex]x^2=-4ay\\150^2=4a(80+a)\\a^2+80a-5625=0[/tex]

Solve the above quadratic equation as,

[tex]x=\dfrac{-b\pm\sqrt{b^2-4ac}}{2a}\\a=\dfrac{-80\pm\sqrt{80^2+4\times 1\times5625}}{2}\\a=\dfrac{-80\pm170}{2}\\a=-125, 45[/tex]

The value of a can't be negative. So, [tex]a=45[/tex].

So, the height of arch will be,

[tex]80+a=80+45\\=125\rm\;yd[/tex]

Therefore, the height of the arch from the ground will be 125 yards.

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Answer:

7/50 meter

Step-by-step explanation:

Total piece of string = 7/8 meter

Used string = 1/5 of the piece of string

Used string =

1/5 of 7/8 meter

= 1/5 × 7/8

= 7/40 meter

Balance = Total string - used string

= 7/8 - 7/40

= 35-7/40

= 28/40

Balance = 28/40 meter

cuts the rest into 5 equal parts. What is the length of the pieces.

28/40 ÷ 5

= 28/40 × 1/5

= 28 / 200

= 7/50 meter

Length of each piece = 7/50 meter

Expression (C) [7 + 4(n - 1)] represents the nth number in the given arithmetic sequence.

So, in the arithmetic sequence, there is a formula to find the nth term in the series.

Then, For aₙ term:

Therefore, expression (C) [7 + 4(n - 1)] represents the nth number in the given arithmetic sequence.

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Given:

Value of Gift card = $50

Each time she visits the coffee shops she spends $3.75 on her favorite drink.

To find:

The equation for the given situation.

Solution:

Let x be the number of times she visits the coffee shop, and y be the total amount on her gift card.

Cost of her favorite drink for one time = $3.75

Cost of her favorite drink for x times = $3.75x

Value of gift card is $50. So,

Amount on her gift card = 50 - Cost of her favorite drink for x times

[tex]y=50-3.75x[/tex]

Therefore, the required equation is [tex]y=50-3.75x[/tex].

Answer:

3 over 14.

Step-by-step explanation:

Answer:

10?

Step-by-step explanation:

Answer:B

Step-by-step explanation:

Answer: the correct answer is B (3,0)

Step-by-step explanation: HOPE THIS HELPS HAVE A GOOD DAY

Answer:

A. in quadrant l

Step-by-step explanation:

Edge 2020

Answer: A.) in quadrant I

Step-by-step explanation: edge 2023

answer 1:4

explanation:Simplify Ratio 5:20

To simplify the ratio 5:20, we find the greatest common divisor of 5 and 20, and then we divide 5 and 20 by the greatest common divisor.

The greatest common divisor that you can use to simplify 5:20 is 5. Which means the answer to ratio 5:20 simplified is:

1:4

Answer:

the slope of the line is 4/5

Step-by-step explanation:

hopefully this helps :)

Answer:

4/5

Step-by-step explanation:

you could do rise over run

or

subtract the y values 6 and 2 to get 4

and then subtract 6 and 1 to get 5

this is called the change in y over the change of x

Answer:

a) 0.71

b) 0.06

Step-by-step explanation:

We solve using Baye's Theorem

It is estimated that 88% of senior citizens suffer from sleep disorders and 7% suffer from anxiety. Moreover, 5% of senior citizens suffer from both sleep disorders and anxiety.

We have Two events

A and B

Events A = 88% of senior citizens suffer from sleep disorders

P(A) = 0.88

Event B = 7% suffer from anxiety

P(B) = 0.07

Moreover, 5% of senior citizens suffer from both sleep disorders and anxiety.

P(A and B) = 0.05

a)Given that a senior citizen suffers from anxiety, what is the probability that he or she also suffers from a sleep disorder? Round your answer to the nearest hundredth.

This is calculated as:

P(A and B)/P(B)

= 0.05/0.07

= 0.7142857143

Approximately = 0.71

B) Find the probability that a senior citizen suffers from anxiety, given that he or she has a sleep disorder. Round your answer to the nearest hundredth.

This is calculated as:

P(A and B)/P(A)

= 0.05/0.88

= 0.0568181818

Approximately = 0.06

Answer:

D

Step-by-step explanation:

If you have any questions about the way I solved it, don't hesitate to ask me in the comments below ;)

Answer:

The answer is A (-5, -2)

Step-by-step explanation:

bottom left is the third quadrant and it is negative negative (-x,-y)

Given:

Cost of the trip to get into the park = $19.99

Brady bought a hot dog for $3.50 and spent $2.10 on gas money.

To find:

The total money Brady spend.

Solution:

It is clear that,

Total money he spend = Cost of the trip to get into the park + Cost of a hot dog + Amount he spent on gas money

On substituting the values, we get

Total money he spend = $19.99 + $3.50 + $2.10

                                      = $25.59

Therefore, the total money Brady spend is $25.59.

Answer:

B or E im not sure

Step-by-step explanation:

$4.93

Step-by-step explanation

That's the exact answer but going of your answers it'll be 5$

Discount:

(29 x 17)/100 = $4.93

Final Price:

29 - 4.93 = $24.07

Answer:

the answer for edge 2021 is 5

Step-by-step explanation:

Please mark brainliest

Answer:

500 people

Step-by-step explanation:

To find how many people said they liked golf, find 5% of 10,000, by multiplying 10,000 by 0.05:

10,000(0.05)

= 500

So, 500 people said they liked playing golf

Answer:x=18

Step-by-step explanation:

3(x-5)=x+21

Distribute the 3

3x-15=x+21

Add 15 to each side

3x=x+36

Subtract x from each side

2x=36

Divide each side by 2

x=18

Answer:

A

y=-19/12x+17/12

Step-by-step explanation:

Write in slope-intercept form,y=mx+b

The equation i.e. 19x + 12y = 17 equivalent to the  [tex]y = \frac{19}{12}x + \frac{17}{12}[/tex].

Given that,

Based on the above information, the calculation is as follows:

19x + 12y = 17

Here we need to solve it for y

[tex]y = \frac{19}{12}x + \frac{17}{12}[/tex]

Therefore, we can conclude that the first option is correct.

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Answer:

A is correct

Step-by-step explanation:

Answer:

c

Step-by-step explanation:

13-17=-4

f(3x-9)=6xwhere you f=6x-4=

Answer:

squareroot 18, 9, 4pi, 14

b - squareroot of 4 is 2and the squareroot of 9 is 3. 5 is between 4 and 9, meaning it must be between 2 and 3. Also a negative so on the left of the 0.

c - sqrt of 1 is 1 and sqrt of 4 is 2.  between 1 and 2. closer to 2 (because 3 is closer to 4) than to 1.

j=irrational cant be in fraction form

k=rational is in raction form

l= rational it equals 4 which is an integer

m=irrational because it has pi in it

for the graph...

j=3.46

k=1.88

l=4

m=4.71

Step-by-step explanation:

Use a calculator or think about perfect squares to determine answers.

rational can be a fraction or integer, irrational has pi or a decimal.

The circumference of the circular swimming pool is given by C = 47.12 feet

A circle is a closed figure in which the set of all the points in the plane is equidistant from a given point called “center”. Every line that passes through the circle forms the line of reflection symmetry. Also, the circle has rotational symmetry around the center for every angle

The circumference of circle = 2πr

The area of the circle = πr²

where r is the radius of the circle

The standard form of a circle is

( x - h )² + ( y - k )² = r²,

where r is the radius of the circle and (h,k) is the center of the circle.

The equation of circle is ( x - h )² + ( y - k )² = r²

For a unit circle , the radius r = 1

x² + y² = r² be equation (1)

Now , for a unit circle , the terminal side of angle θ is ( cos θ , sin θ )

Given data ,

Let the circumference of the circular swimming pool be C

Now , the diameter of the swimming pool D = 15 feet

So , the radius of the circular pool r = D / 2

The radius r = 7.5 feet

Now , circumference of circle = 2πr

So , on simplifying , we get

The circumference of the circular swimming pool C = 2π ( 7.5 )

The circumference of the circular swimming pool C = 15π

The circumference of the circular swimming pool C = 47.12 feet

Hence , the circumference of the circular swimming pool is 47.12 feet

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Answer:

32 free throws.

Step-by-step explanation:

It is given that,

Peter shot 40 free throws. He made 80% of his shots.

We need to find the fraction that is equivalent to 80%.

It means we have to find 80% of 40. It can be calculated as follows :

[tex]F=\dfrac{80}{100}\times 40\\\\=32[/tex]

80% of 40 is equivalent to 32 free throws.

Answer: the number must be placed in the box is 9

suppose: the number must be placed in the box is x

have:

5u + 3(4u - 6) = -3u -27 + 20u + x

⇔ 5u + 12u - 18 = -3u - 27 + 20u +x

⇔ 17u + 3u - 20u = -27 + 18 + x

⇔ 0 = x - 9

⇔ x = 9

Step-by-step explanation:

Answer:

9

Step-by-step explanation:

Simplifying both sides gives 

17u - 18 = 17u - 27 + ▢.

Subtracting 17u from both sides gives

-18 = -27 + ▢. 

If the number in the box is anything but 9, then the equation cannot be true, and the original equation has no solutions. If the number in the box is 9, then the two sides of the original equation are equivalent, and all values of u are solutions to the equation.

Answer:

Subtract the original from the new to find the difference:

It was a 200% increase.

Step-by-step explanation:

Subtract the original from the new to find the difference:

148 - 74 = 74

Now divide the new by the difference:

148 / 74 = 2

Multiply that by 100 to get the percentage:

2 x 100 = 200%

Answer:

The identity function has a slope of m = 1 and a y-intercept of (0, 0) .

Step-by-step explanation:

The identity function is a special type of linear function having the form f(x) = x . The domain of this function is all real numbers and the range consists of all real numbers .

Answer:

$3480

Step-by-step explanation:

Answer: 2x+58

Step-by-step explanation:Combine Like Terms:

=5x+−3x+58

=(5x+−3x)+(58)

=2x+58