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Flura [38]
3 years ago
14

Sonja's house is 4 blocks west and 1 block south of the center of town. Her school is 3 blocks east and 2 blocks north of the ce

nter of town.
What is the direct distance from Sonja's house to her school?

(Hint: The center of town should be the origin, and north is up.)

Mathematics
2 answers:
adoni [48]3 years ago
8 0

Answer:

The answer is √58 = 7.62

Step-by-step explanation:

So, if you draw this down, you will see that the direct distance is hypotenuse c of a right triangle which sides are 3 blocks (1 south and 2 north) and 7 blocks (4 west and 3 east).

Use the Pythagorean theorem:

c² = a² + b²

a = 3

b = 7

c² = 3² + 7²

c² = 9 + 49

c² = 58

c = √58

c = 7.62

il63 [147K]3 years ago
7 0

Answer:

It's this graph

Step-by-step explanation:

I ran into this one on an assignment

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nalin [4]
25 candy in a bag, if 2/5 or 40% of candy is caramels. Then 10 in each bag is caramels.

Your answer would be C.
3 0
3 years ago
Read 2 more answers
Mr zambito buys a 3 1/2 - pound bag of dog food every 3 weeks mr zambito feeds his dog the same amount of dog food each day how
Murljashka [212]
3 1/2 pound = 7/2 pounds.
We know that the dog eats 7/2 (3.5) pounds every 21 days since there are 7 days in a week and Mr.Z only buys dog food every 3 weeks.

Set up a proportion.     <u>3.5 lb</u>     =    <u>    x     </u><u>
</u>                                  21 days         365 days
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3 0
3 years ago
Simplify 5 + 22 − 3(6) ÷ 3
rjkz [21]

Answer:

21

Step-by-step explanation:

Use PEMDAS.

6*3=18

18/3=6

22+5=27

27-6=21

8 0
3 years ago
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A cylinder has a radius of 7 cm and a height of 12 cm what is the surface area
xxTIMURxx [149]
Surface Area of Cylinder = 2πrh.

Radius, r = 7 cm, height = 12 cm.

Surface Area = 2*π*7* 12 = 168π  cm²

π ≈ 3.14159

168π = 168*3.14159

Surface Area ≈ 527.79 cm²
3 0
3 years ago
What value of b will cause 16x ^ 2 + bx + 4 = 0 to have one real solution ?
bekas [8.4K]

Answer:

b  =  16

Step-by-step explanation:

16*x  + b*x  + 4  =  0

Solving for x we get:

x₁,₂  =   - b  ±  √  b² - 4*a*c   ] / 2*a         (1)

If we take a look to the square root

√ b² - 4*4*16      =  √ b²  - 256

if we make √ b²  - 256    = 0

b²  =  256       ⇒      b  =  16

Then equation (1) becomes:

x₁,₂  = ( - 16  ±  0  ) / 32

x  = -  1/2

6 0
3 years ago
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