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liubo4ka [24]
3 years ago
14

Two friends leave school at the same time, sarah is heading due north and beth is heading due east. One hour later they are 10 m

iles apart. If sarah traveled 8 miles from the school, how many miles had beth traveled?

Mathematics
1 answer:
Katen [24]3 years ago
6 0

Answer:

The value of distance traveled by the beat = 6 miles

Step-by-step explanation:

From Δ ABC

AC = distance between two persons after one hour = 10 miles

AB = Distance traveled by sarah = 8 miles

BC = Distance traveled by beth = x miles

From pythagoras theorm

AC^{2} = AB^{2} + BC^{2}

10^{2}  = 8^{2}  + x^{2}

x^{2} = 100 - 64

x^{2}  = 36\\

x = 6 miles

This is the value of distance traveled by the beat.

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Two different 2 digit numbers round to 70 to the nearest 10.The sum of the two numbers is 136.What could the two numbers be?
belka [17]

Answer:

Step-by-step explanation:

If they can be rounded to 70 to the nearest 10s. Then they are from 65 to 74.

Their sum is 136.

If we use 136 divided by 2 we get 68.

Since they're distinct, so one can be 67 and one can be 69

3 0
2 years ago
Lauren has gross pay of $765 and federal tax withholdings of $68. Determine Lauren's net pay if she has the additional items wit
Romashka-Z-Leto [24]
<span>gross =768
 fed = 68
 ss = 6.2/100 times 765
 med = 1.45/100 times 765
state = 22/100 times 68
gross - ( sum of all deductions) = net pay
</span><span>Subtract 6.2% of $765 = 0.062 * $765 = 48.67
</span><span>Subtract 1.45% of $765 = 0.0145 * $765 = 11,0925
</span><span>Subtract 22% of $68 = 0.222 * $65 = 14.43
</span>Social security tax = 765 * 6.2% = 47.43
Medicare tax  = 765 * 1.45% = 11.09
State tax (22% of federal tax) = 68 * 22% = 14.96

765 - 68 - 47.43 - 11.09 - 14.96 = 623.52

 net pay is 623.52

8 0
2 years ago
Read 2 more answers
A yearbook printer charges based on the number of pages printed. Here is a table that shows the cost of some recent yearbooks:
asambeis [7]
y = 0.012x + 0.65<span><span><span>

Number of pages </span> <span>     50.00    </span><span>  100.00 </span><span>   150.00 </span> <span>   200.00 </span> </span> <span> <span> 
Cost </span> <span>                           1.25 </span> <span>         1.85 </span> <span>       2.45 </span> <span>       3.05

x = number of pages
y = cost

intervals of x = 50 pages
intervals of y = 0.60
0.60 / 50 = 0.012

y = 0.012x + 0.65

</span></span></span><span> <span> </span><span><span> <span>                      x </span> <span>      0.012*x </span> <span>              y  </span>
</span> <span> 0.012 <span>           50 </span> <span>         0.60 </span> <span>    0.65 </span> <span>   1.25
</span></span><span>0.012 <span>         100 </span> <span>         1.20 </span> <span>    0.65 </span> <span>   1.85
</span> </span> <span> 0.012 <span>         150 </span> <span>         1.80 </span> <span>    0.65 </span> <span>   2.45
</span> </span> <span> 0.012 <span>         200 </span> <span>         2.40 </span> <span>    0.65 </span> <span>   3.05 </span> </span></span></span><span>
</span>
5 0
3 years ago
2. Determine the amount of an investment if $5,000 is
Nataliya [291]

Step-by-step explanation:

A=P(1+i)^n

=5,000(1+5%/4)^10×4

=$8,218.10

8 0
1 year ago
WARNJNG ⚠️⚠️ just help me please
marta [7]
(4)3 is also the same thing as 4x3 which is 12n
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2 years ago
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