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olga_2 [115]
3 years ago
9

What is 16.403 round to the nearest tenth?

Mathematics
2 answers:
Doss [256]3 years ago
4 0
Well, since there is a 0 in the hundredths place, the 4 in the tenths place would stay the same! Ignore the 3.
Your answer:16.4
I hope this helps!
likoan [24]3 years ago
4 0

16.4 is 16.403 rounded to the nearest tenth because tenths are the number right after the decimal point and if the number right after it is 5 or above you round the place above up. If the tenths are below 5 you round down.
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Solve the following System Of Equations Using Substitution or Elimination Methods. Show Work.
Ostrovityanka [42]

Answer:

There are two pairs of solutions: (2,7) and (-1,4)

Step-by-step explanation:

We will use substitution.

y = x^2 + 3

y = x +5

Since the second equation is equal to y, replace y in the first equation with the second equation.

y = x^2 + 3

x + 5 = x^2 + 3

Rearrange so that one side is equal to 0.

5 - 3 = x^2 - x

2 = x^2 - x

0 = x^2 - x - 2

You may use quadratic formula or any form of factoring to find the zeros (x values that make the equation equal to 0).

a = 1, b = -1, c = -2

Zeros = \frac{-b + \sqrt{b^{2}-4ac }  }{2a} and \frac{-b - \sqrt{b^{2}-4ac }  }{2a}

Zeros = 2 and -1

Now that you have your x values, plug them into the equations to find their corresponding y values.

y = x^2 + 3

y = (2)^2 + 3

y = 7

Pair #1: (2,7)

y = x^2 + 3

y = (-1)^2 + 3

y = 4

Pair #2: (-1,4)

Therefore, there are two pairs of solutions: (2,7) and (-1,4).

8 0
3 years ago
What is the reciprocal of 3 3/7
Anni [7]
You can make 3 and 3/7 into a improper fraction as 24/7 by multiplying 7 by 3 which is 21 and then adding that to 3 which gives you to answer 24/7. To find the reciprocal you simply flip the fraction which gives you 7/24 
8 0
3 years ago
Read 2 more answers
Find the mid segment of GH
noname [10]

Answer:

B. 2

Step-by-step explanation:

Based on the Midsegment of a trapezoid theorem:

GH = (BC + FE)/2

9x - 3 = (19 + (5x + 1))/2) (substitution)

9x - 3 = (20 + 5x)/2

Cross multiply

2(9x - 3) = 20 + 5x

18x - 6 = 20 + 5x

Collect like terms

18x - 5x = 20 + 6

13x = 26

Divide both sides by 13

x = 26/13

x = 2

8 0
3 years ago
Can someone please answer. There is only one problem. There is a picture. Thank you!
KATRIN_1 [288]
5Red + 6Blue + 4 Black

Total = 5 + 6 = 4 = 15

Probality of Blue, Blue.

P(Blue) = 6/15 = 2/5

P(Blue, Blue) = (2/5)*(2/5) = 4/25
6 0
3 years ago
A circle passes through points A(7,4), B(10,6), C(12,3). Show that AC must be the diameter of the circle.
Artist 52 [7]

so we have three points, A, B and C, if indeed AC is the diameter of the circle, then half the distance of AC is its radius, and the midpoint of AC is the center of the circle, morever, since B is also on the circle, the distance from B to the center must be the same radius distance.

in short, half the distance of AC must be equals to the distance of B to the midpoint of AC, if indeed AC is the diameter.

\bf ~~~~~~~~~~~~\textit{middle point of 2 points } \\\\ A(\stackrel{x_1}{7}~,~\stackrel{y_1}{4})\qquad C(\stackrel{x_2}{12}~,~\stackrel{y_2}{3}) \qquad \left(\cfrac{ x_2 + x_1}{2}~~~ ,~~~ \cfrac{ y_2 + y_1}{2} \right) \\\\\\ \left( \cfrac{12+7}{2}~~,~~\cfrac{3+4}{2} \right)\implies \left( \cfrac{19}{2}~~,~~\cfrac{7}{2} \right)=M\impliedby \textit{center of the circle}

now, let's check the distance from say A to the center, and check the distance of B to the center, if it's indeed the center, they'll be the same and thus AC its diameter.

\bf ~~~~~~~~~~~~\textit{distance between 2 points} \\\\ A(\stackrel{x_1}{7}~,~\stackrel{y_1}{4})\qquad M(\stackrel{x_2}{\frac{19}{2}}~,~\stackrel{y_2}{\frac{7}{2}})\qquad \qquad d = \sqrt{( x_2- x_1)^2 + ( y_2- y_1)^2} \\\\\\ AM=\sqrt{\left( \frac{19}{2}-7 \right)^2+\left( \frac{7}{2}-4 \right)^2} \\\\\\ AM=\sqrt{\left( \frac{5}{2}\right)^2+\left( -\frac{1}{2} \right)^2}\implies \boxed{AM\approx 2.549509756796392} \\\\[-0.35em] ~\dotfill

\bf ~~~~~~~~~~~~\textit{distance between 2 points} \\\\ B(\stackrel{x_1}{10}~,~\stackrel{y_1}{6})\qquad M(\stackrel{x_2}{\frac{19}{2}}~,~\stackrel{y_2}{\frac{7}{2}}) \\\\\\ BM=\sqrt{\left( \frac{19}{2}-10 \right)^2+\left( \frac{7}{2}-6 \right)^2} \\\\\\ BM=\sqrt{\left( -\frac{1}{2}\right)^2+\left( -\frac{5}{2} \right)^2}\implies \boxed{BM\approx 2.549509756796392}

6 0
3 years ago
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