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4 years ago

Distance between (-15 , 18 and ( 20 ,18)

Mathematics

1 answer:

Kipish [7]4 years ago

8 0

From the Formula:

Distance = Sqr Root [ (x2- x1)^2 + (y2 - y1)^2 ]

Distance = Sqr Root [ (20 --15)^2 + 18 -18)^2 ]

Distance = Sqr Root [ 1,225 + 0]

Distance = 35

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A person's score on a Mad Minute is proportional to the amount of questions he or she answers correctly. Each Mad Minute lasts t

ruslelena [56]

Answer:

s = 2.8y

Step-by-step explanation:

Score is proportional to the amount of correctly answered question :

Given that:

Score earned by Rachael = s =70

Number of correctly answered question = y = 25

Hence,

Score α number of correctly answered question

s = ky

70 = 25k

k = 70/25

k = 2.8

Hence, one correct answer gives 2.8

Hence,

Score obtained = 2.8 * number of questions answered correctly

s = 2.8y

6 0

3 years ago

Horace is riding his bike on a bike path. Horace's bike got a flat tire 3/4 of the way down the path and he had to stop. How far

mixas84 [53]

The distance travelled before developing a flat tire illustrates multiplication of fractions

Horace rode a distance of $\frac {9}{16} mile$ before having a flat tire

From the complete question, the length of the path is given as

$Length=\frac 34\ mile$

The fraction of distance (d) traveled before having a flat tire is:

$d=\frac 34$

So, the distance (D) travelled is:

$D=d \times Length$

This gives

$D= \frac 34 \times \frac 34\ mile$

Rewrite as:

$D= \frac {3 \times 3}{4 \times 4} mile$

$D= \frac {9}{16} mile$

Hence, Horace rode a distance of $\frac {9}{16} mile$

Read more about multiplication of fractions at:

brainly.com/question/9281754

3 0

3 years ago

Given cosα = −3/5, 180 < α < 270, and sinβ = 12/13, 90 < β < 180

torisob [31]

I got

$- \frac{6 3}{65}$

What we know

cos a=-3/5.

sin b=12/13

Angle A interval are between 180 and 270 or third quadrant

Angle B quadrant is between 90 and 180 or second quadrant.

What we need to find

Cos(b)

Cos(a)

What we are going to apply

Sum and Difference Formulas

Basics Sine and Cosines Identies.

1. Let write out the cos(a-b) formula.

$\cos(a - b) = \cos(a) \cos(b) + \sin(a) \sin(b)$

2. Use the interval it gave us.

According to the given, Angle B must between in second quadrant.

Since sin is opposite/hypotenuse and we are given a sin b=12/13. We. are going to set up an equation using the pythagorean theorem.

${12}^{2} + {y}^{2} = {13}^{2}$

$144 + {y}^{2} = 169$

$25 = {y}^{2}$

$y = 5$

so our adjacent side is 5.

Cosine is adjacent/hypotenuse so our cos b=5/13.

Using the interval it gave us, Angle a must be in the third quadrant. Since cos is adjacent/hypotenuse and we are given cos a=-3/5. We are going to set up an equation using pythagorean theorem,

$( - 3) {}^{2} + {x}^{2} = {5}^{2}$

$9 + {x}^{2} = 25$

${x}^{2} = 16$

$x = 4$

so our opposite side is 4. sin =Opposite/Hypotenuse so our sin a =4/5.Sin is negative in the third quadrant so

sin a =-4/5.

Now use cosine difference formula

$- \frac{3}{5} \times \frac{5}{13} + - \frac {4}{5} \times \frac{12}{13}$

$- \frac{15}{65} + ( - \frac{48}{65} )$

$- \frac{63}{65}$

Hope this helps

6 0

3 years ago

n their last basketball game, Becky scored twice as many points as Min. Together, they scored 42 points. How many points did Bec

Makovka662 [10]

Becky =B

Min =M

B =2M and B + M = 42.

(2M) + M= 3M = 42 and so M=42/3=14.

B = 2M so it's 14*2=28

Becky scored 28 points.

4 0

3 years ago

Read 2 more answers

Ralph is 3 times as old as Sarah. in 6 years, Ralph will be only twice as old as Sarah will be then. find Ralph's age now.

Svetradugi [14.3K]

Does it tell Sarah's age?

8 0

3 years ago