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Papessa [141]
3 years ago
15

Patrick is keeping track of how far he jogs each morning.

Mathematics
1 answer:
katrin2010 [14]3 years ago
5 0

Answer:

21:50

Step-by-step explanation:

We need to find the ratio of 420 m to 1 km.

We know that,

1 km = 1000 m

So,

The ratio becomes,

\dfrac{420\ m}{1\ km}=\dfrac{420\ m}{1000\ m}\\\\=\dfrac{42\ m}{100\ m}\\\\=\dfrac{21}{50}

So, the required ratio is 21:50.

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HELP ASAP PLS PLS PLS !
Maslowich

Answer:

(b) the unknown angle is 80°

Step-by-step explanation:

The unkown angle is:

[2(x-10)]°

Substituting "x" by 50 (part a)

[2(50-10)]°=[2(40)]°=80°

6 0
3 years ago
2*2+3-5/9+100/2*89+40-30
olga55 [171]

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5 0
3 years ago
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Please solve and show your work: (-4m^9+2m^7-14m^6)÷2m^3
katrin2010 [14]
The first step for solving this expression is to write the division as a fraction. 
\frac{-4m^{9}+2 m^{7} -14 m^{6}   }{2} × m³
Factor out 2 from the numerator (top) of the fraction.
\frac{2(-2 m^{9} + m^{7}-7 m^{6} )  }{2} × m³
Reduce the fraction with 2.
(-2m^{9} + m^{7} - 7m^{6})m³
Lastly,, distribute m³ through the parenthesis to get your final answer.
-2m^{12} + m^{10} - 7m^{9}
Let me know if you have any further questions.
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4 0
3 years ago
In parallelogram ABCD , diagonals AC and BD intersect at point E, BE=x^2−40 , and DE=6x .What is BD ? The answer was 120
Leviafan [203]

Answer:

120

Step-by-step explanation:

Given that ABCD is a parallelogram.  

We know that in a parallelogram diagonals bisect each other.

Since AC and BD intersect at E, we get E is the mid point of both AC and BD.

Or BE = ED

Substitute the given values for BE and ED

x^2-40 = 6x\\x^2-6x-40=0\\(x-10((x+4) = =0

i.e. x =10 or x =-4

But x cannot be negative .  So x can take only value 10

BE = DE =6x = 6(10) = 60

Diagonal BD = BE+DE = 60+60 = 120

Answer is 120

6 0
3 years ago
Read 2 more answers
100 points I have answer. Can someone explain this correct answer, I know its correct, but need to understand why? Do we subtrac
lapo4ka [179]

Answer:

c = -6

d = 2

Step-by-step explanation:

After reflection about the x-axis:

A --> A'

(2,3) --> (2,-3)

(4,3) --> (4,-3)

(2,6) --> (2,-6)

After translation:

(2 + c, -6 + d) --> (-4, -4)

2+c = -4

c = -6

-6+d = -4

d = 2

6 0
3 years ago
Read 2 more answers
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