dynasty has a saving account with a starting balance of 250. She decide to add 15 per week write the function notation

The top of a ladder rests at a height of 15 feet against the side of a house. If the base of the ladder is 6 feet from the house

Ksju [112]

90
15 x 6 = 90
You need to multiply

6 0

3 years ago

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a local charity held a crafts fair selling donated, handmade items. Total proceeds from the sale were 1875. a total of 95 items

Anastasy [175]

55 items sold for $15 each.
40 sold for $25 each.

3 0

3 years ago

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Estimate the solution to the system of equations.

klemol [59]

Answer:

x=1/2; y=-6

Step-by-step explanation:

2x-2=-2x-5

4x=2

x=1/2

y=-1-5

y=-6

8 0

3 years ago

find the angle between the vectors. (first find the exact expression and then approximate to the nearest degree. ) a=[1,2,-2]. B

SashulF [63]

Answer:

$\theta = cos^{-1} (\frac{10}{\sqrt{9} \sqrt{25}})=cos^{-1} (\frac{10}{15}) = cos^{-1} (\frac{2}{3}) = 48.190$

Since the angle between the two vectors is not 180 or 0 degrees we can conclude that are not parallel

And the anfle is approximately $\theta \approx 48$

Step-by-step explanation:

For this case first we need to calculate the dot product of the vectors, and after this if the dot product is not equal to 0 we can calculate the angle between the two vectors in order to see if there are parallel or not.

a=[1,2,-2], b=[4,0,-3,]

The dot product on this case is:

$a b= (1)*(4) + (2)*(0)+ (-2)*(-3)=10$

Since the dot product is not equal to zero then the two vectors are not orthogonal.

Now we can calculate the magnitude of each vector like this:

$|a|= \sqrt{(1)^2 +(2)^2 +(-2)^2}=\sqrt{9} =3$

$|b| =\sqrt{(4)^2 +(0)^2 +(-3)^2}=\sqrt{25}= 5$

And finally we can calculate the angle between the vectors like this:

$cos \theta = \frac{ab}{|a| |b|}$

And the angle is given by:

$\theta = cos^{-1} (\frac{ab}{|a| |b|})$

If we replace we got:

$\theta = cos^{-1} (\frac{10}{\sqrt{9} \sqrt{25}})=cos^{-1} (\frac{10}{15}) = cos^{-1} (\frac{2}{3}) = 48.190$

Since the angle between the two vectors is not 180 or 0 degrees we can conclude that are not parallel

And the anfle is approximately $\theta \approx 48$

3 0

3 years ago

Please help me :3 please explain

Ivahew [28]

Using a proportional relationship, the amounts are given as follows:

Tennis 3, Soccer 7.

Tennis 36, Soccer 84.

<h3>What is a proportional relationship?</h3>

A proportional relationship is a function in which the output variable is given by the input variable multiplied by a constant of proportionality, that is:

y = kx

In which k is the constant of proportionality.

For this problem, we have that:

The input variable is the number of tennis players.

The output variable is the number of soccer players.

From the first row of the table, the constant is given as follows:

k = 35/15 = 7/3.

Hence the relationship is:

y = 7/3x.

For the second row of the table, we have that x = 3, hence:

y = 7/3 x 3 = 7.

For the third row of the table, we have that y = 84, hence:

84 = 7/3x

x = 84 x 3/7

x = 36.

Then the amounts are given as follows:

Tennis 3, Soccer 7.

Tennis 36, Soccer 84.

More can be learned about proportional relationships at brainly.com/question/10424180

#SPJ1

7 0

1 year ago