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ss7ja [257]
3 years ago
13

Anika is hiking on a rectangular trail at the national park. There are four resting spots along the corners of the trail. On the

map, they are marked with coordinates of (5, 2), (5, 4), (2, 4), and (2, 2). If each unit represents 1 mile, find the perimeter of the trail in miles, using the coordinates
Mathematics
1 answer:
tia_tia [17]3 years ago
4 0
The perimeter is 10 try to draw these points on the graph and count the distance between each or you can just look at the coordinates and find the distance and then add length and width
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Gave needs 60 liters of 40% acid solution he currently has 20% solution and 50% solution how many liters of each does he need to
Rudiy27
\bf \begin{array}{lccclll}
&amount&concentration&
\begin{array}{llll}
concentration\\
amount
\end{array}\\
&-----&-------&-------\\
\textit{20\% sol'n}&x&0.20&0.20x\\
\textit{50\% sol'n}&y&0.50&0.50y\\
-----&-----&-------&-------\\
mixture&60&0.40&(60)(0.40)
\end{array}

notice above...  we use the decimal format for the percentage, thus 20% is really just 20/100, 40% is 40/100 and so on.

so.. whatever "x" and "y" amounts are, we know they have to add  up to 60 Liters, that is x+y = 60

and whatever the concentration amount of each is, it must add up to (60)(0.40), that is 0.20x+0.50y=(60)(0.40)

thus    \bf \begin{cases}
x+y=60\implies \boxed{y}=60-x\\\\
0.20x+0.50y=(60)(0.40)\\
----------\\
0.20x+0.50\left( \boxed{60-x} \right)=(60)(0.40)
\end{cases}

solve for "x", to see how much of the 20% solution will be needed

what about "y"?  well, y = 60 - x
7 0
2 years ago
13.62<br><br> Round to the<br> nearest whole<br> number.
Ivenika [448]

Answer:

14

Step-by-step explanation:

when rounding you round up when the number is 5+ but if it's anything below 5 you go down instead, making this answer being 14

7 0
2 years ago
An angle measures 12 degrees less than three times its supplement. Find the measure of the angle.
lianna [129]

Ok, so you knnow that for angles to be supplement, they need to equal 180 degrees. So you can create an equation as follows:

(3 times X minus 12) degrees plus (x)degrees equals 180 degrees

(3x-12) + (x)=180

4x-12=180

4x=192

x=48

So now you plug in "x=48" into this equation (3x-12) to find the measure of the angle.

And if I did the math correctly, the answer should be "132" degrees.

6 0
3 years ago
Read 2 more answers
OT bisects ∠DOG. Find the measure of ∠DOG if ∠DOT = 4x + 4 and ∠TOG = 5x – 3
g100num [7]

Answer:

\huge\boxed{64^o}

Step-by-step explanation:

If OT is bisects ∠DOG, then m∠DOT = m∠TOG. Therefore

4x+4=5x-3    |<em>subtract 4 from both sides</em>

<em />4x+4-4=5x-3-4\\\\4x=5x-7<em>|subtract 5x from both sides</em>

<em />4x-5x=5x-5x-7\\\\-x=-7<em>|change the signs</em>

<em />x=7<em />

Calculate the measure of ∠DOG

m∠DOG = 2(m∠DOT)

m\angle DOG=2(4\cdot7+4)=2(28+4)=2(32)=64

6 0
3 years ago
Given that parallelogram ABCD and angle D=145 what is the measure of angle C
stiv31 [10]
Opposite angles of parallelogram are equal.
sum of interior angles of parallelogram is 360 degrees.

Therefore,
A + B + C + D = 360
x + 145 + x + 145 = 360 
x = 35
Therefore angle C is 35 degrees 
8 0
3 years ago
Read 2 more answers
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