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Veronika [31]
3 years ago
6

HELP!! I WILL MARK FIRST RIGHT PERSON BRAINIEST!!!!!!!! Dana walks to the store from the park, it is 8 blocks south and 6 blocks

west using city streets. She found a short cut that used a diagonal by cutting through the woods that the streets surrounded. How far did she have to walk using the shortcut?
Mathematics
1 answer:
natita [175]3 years ago
6 0

Answer:

10 blocks

Step-by-step explanation:

South and West are perpendicular to each other, meaning they form a right angle. With the diagonal intersecting with each of the corners, we can form a right triangle. We can use Pythagorean Theorem (a^2 + b^2 = c^2) to find that 8^2 + 6^2 = (diagonal)^2.    8^2 + 6^2 = 100. The square route of 100 is 10, meaning Dana would have to walk 10 blocks.

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The circle graph shows the result of a survey. In what way is this graph misleading? Explain.
Rashid [163]

Step-by-step explanation:

because the total sum of each percent is 90%

and it must be 100% as it is a full circle

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2 years ago
Nick can run the 440 yard dash in 55 seconds, and Jack can run it in 88 seconds. How great a handicap must Nick give Jack for th
Zepler [3.9K]
Jack --> 440 = rate * 88Jack --> 5 yrds/sex = rateJack in 55 seconds --> distance = 5 * 55 = 275 yrds440 - 275 = 165 yards handicap.
8 0
3 years ago
A scooter was bought at Rs 42,000. its value depreciated at the rate of 8% per annum. find its value after one year​
Alona [7]

Answer:

Rs 38,640

Step-by-step explanation:

<u>Pay attention:</u>

A = P(1+r/100)^n

The principle (p) : Rs 42,000

Rate of interest (r) : 8%

Time (n) : 1 years

Exact Amount (a) : P(1-R/100)^n

Value:

A = 42,000(1 - 8/100)^1

A = 42,000(1 - 2/25)

A = (42,000 * 23)/25

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A = Rs 38,640

4 0
2 years ago
Use substitution to solve the following system of linear equations and fill in the following blanks:
marissa [1.9K]

Answer:

x=-4

y=3

z=-5

Step-by-step explanation:

<u>Given:</u>

x+y+z=-6

x-6y-7z=-29

-7y-5z=4

<u>Solve for </u>x<u> in the 1st equation:</u>

x+y+z=-6

x+y=-z-6

x=-y-z-6

<u>Substitute the value of </u>x<u> into the 2nd equation and solve for </u>z<u>:</u>

x-6y-7z=-29

(-y-z-6)-6y-7=-29

-7y-z-13=-29

-7y-z=-16

-z=-16+7y

z=16-7y

<u>Substitute the value of </u>z<u> into the 3rd equation and solve for </u>y<u>:</u>

-7y-5z=4

-7y-5(16-7y)=4

-7y-80+35y=4

28y-80=4

28y=84

y=3

<u>Plug </u>y=3<u> into the solved expression for </u>z<u> and evaluate to solve for </u>z<u>:</u>

z=16-7(3)

z=16-21

z=-5

<u>Plug </u>z=-5<u> into the solved expression for </u>x<u> and evaluate to solve for </u>x<u>:</u>

x=-(3)-(-5)-6

x=-3+5-6

x=2-6

x=-4

Therefore:

x=-4

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6 0
3 years ago
A magazine publisher mails a survey to every subscriber asking about the quality of its subscription service.
scoray [572]
A Statistic.

Since they want to know how their magazine are, they are gonna make a survey. In the survey, the people are statistics to see how well their magazines are. With that, they can decide to change their subjects or whatever it is. Hope this helps!
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3 years ago
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