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2 years ago

NEED HELP!!!

Mathematics

1 answer:

lana [24]2 years ago

3 0

Answer:

We will choose option D.

Step-by-step explanation:

In the given diagram the shown right triangle has Base = 3 units, Perpendicular = 4 and the Hypotenuse = 5 units,

Now, in option A.

The vertices of the triangle are (-3,-3), (-3,4) and (4,-3).

Hence, the side lengths of the triangle are 7 units, 7 units, and 7√2 units.

So, it is not similar to the graphed triangle.

{Since, the ratio of corresponding sides of the similar triangles are the same}

Now, in option B.

The vertices of the triangle are (-3,-3), (-3,5) and (4,-3).

Hence, the side lengths of the triangle are 7 units, 8 units, and 10.63 units.

So, it is not similar to the graphed triangle.

Now, in option C.

The vertices of the triangle are (-3,-3), (-3,4) and (3,-3).

Hence, the side lengths of the triangle are 6 units, 7 units, and 9.21 units.

So, it is not similar to the graphed triangle.

Now, in option D.

The vertices of the triangle are (-3,-3), (-3,5) and (3,-3).

Hence, the side lengths of the triangle are 6 units, 8 units, and 10 units.

So, it is similar to the graphed triangle.

This is because the ratio of the corresponding sides of the given triangle and the graphed triangle are same and it is 2.(Answer)

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The whole numbers from 10-12 are paired with their factors explain why this pairing doesnt describe a function

myrzilka [38]

Answer:

As given whole numbers from 10 - 12 are paired with their factors.

factor of ,10=1,2,5,10 → (10,1),(10,2),(10,5)(10,10)

factor of 11=1, 11 → (11,1),(11,11)

factor of 12=1,2,3,4,6,12→ (12,1),(12,2),(12,3),(12,4),(12,6),(12,12)

As we know for an ordered pair to be function Every element in the domain must have a unique image, i.e it can't have more than one image.

→ As element 10, have four images,which are 1,2,5,10 so it can,t be a function.

Similarly element 11 have two images 1,11 so it can't be a function.

Element 12 have six images 1,2,3,4,6,12, so it also can't be written as function.

8 0

3 years ago

At Stephanie's new job, she spent $6.50, $8, $7.25, $13.50, and $9.75 on lunch the first week. In the second week, Stephanie spe

MaRussiya [10]

Answer:

The mean for the second week is $2 less than the first and in percentage it is 22% less.

Step-by-step explanation:

The mean is given by the sum of all individual values divided by the number of values. For the first week the sum is:

sum1 = 6.5 + 8 + 7.25 + 13.5 + 9.75

sum1 = 45

Since she spent 10 less in the second week the sum is:

sum2 = sum1 - 10 = 45 - 10 = 35

The mean for each week is:

mean1 = sum1/5 = 45/5 = 9

mean2 = sum2/5 = 35/5 = 7

difference = mean1 - mean2 = 9-7 = 2

difference(%) = [2/9]*100 = 0.22*100 = 22%

The mean for the second week is $2 less than the first and in percentage it is 22% less.

6 0

3 years ago

Kathy is fencing in her yard that has an area of 800 square feet. Her yard is in the shape of a rectangle where the length is 60

anygoal [31]

Answer:

The dimensions of the yard are W=20ft and L=40ft.

Step-by-step explanation:

Let be:

W: width of the yard.

L:length.

Now, we can write the equation of that relates length and width:

$L=5W-60$ (Equation #1)

The area of the yard can be expressed as (using equation #1 into #2):

$Area=W*L=W*(5W-60)$ (Equation #2)

Since the Area of the yard is $800 ft^2$ , then equation #2 turns into:

$800=W*(5W-60)$

Now, we rearrange this equation:

$800=W*(5W-60)//800=5W^2-60W//5W^2-60W-800=0$

We can divide the equation by 5 :

$W^2-12W-160=0$

We need to find the solution for this quadratic. Let's find the factors of 160 that multiplied yields -160 and added yields -12. Let's choose -20 and 8, since $(-20)*8=160$ and $-20+8=-12$ . The equation factorised looks like this:

$(W-20)(W+8)=0$

Therefore the possible solutions are W=20 and W=-8. We discard W=-8 since width must be a positive number. To find the length, we substitute the value of W in equation #1:

$5*20-60=40$