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ziro4ka [17]
3 years ago
14

HELP!!!!!!!!!!!! 1/5+20.3-(-5 3/5) show all the steps

Mathematics
1 answer:
MariettaO [177]3 years ago
8 0
change\ fractions\ as\ decimals:\\\\\frac{1}{5}=\frac{1\times2}{5\times2}=\frac{2}{10}=0.2\\\\\frac{3}{5}=\frac{3\times2}{5\times2}=\frac{6}{10}=0.6\to5\frac{3}{5}=5.6\\\\therefore:\\\\\frac{1}{5}+20.3-\left(-5\frac{3}{5}\right)=0.2+20.3+5.6=26.1
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A study of 250 households in Cedar Bluff showed that a household produced an average of 4 pounds of garbage per day. What is the
Juli2301 [7.4K]

Answer:

Step-by-step explanation:

Given that a study of 250 households in Cedar Bluff showed that a household produced an average of 4 pounds of garbage per day.

Here a study of only 250 were made to assess about the entire households in Cedar Bluff

Hence the population of interest in this study is the entire households in Cedar Bluff.

The sample is the 250 households in Cedar Bluff which were studied

The objective was to study the sample and from that information to assess about the population.

6 0
3 years ago
a hexagon inscribed in a circle has three consecutive sides each of length 3 and three consecutive sides each of length 5. the c
allochka39001 [22]

According to given conditions, m+n is equal to 409.

Consider the diagram below.

In the hexagon ABCDEF, let

AB = BC = CD = 3;

DE = EF = FA = 5;

Arc BAF is equal to one-third of the circle's circumference.

Hence, ∠BCF = ∠BEF = 60°;

Similarly, ∠CBE = ∠CFE = 60°;

Let the point of intersection of BE and CF be P, BE and AD be Q and CF and AD be R.

∴ Δ EFP and Δ BCP are equilateral, and so Δ PQR is also equilateral.

Also, ∠ BAD and ∠ BED subtend the same arc and so do ∠ ABE and ∠ ADE.

∴ Δ ABQ is similar to Δ EDQ

\frac{AQ}{EQ}  = \frac{BQ}{DQ} = \frac{AB}{ED} = \frac{3}{5}

Also,

\frac{\frac{AD - PQ}{2} }{PQ + 5} = \frac{3}{5}  

and \frac{3 - PQ}{\frac{AD + PQ}{2} }  = \frac{3}{5}

On solving these simultaneous equations, we get AD = 360/49

∴ m + n = 409.

To learn more about similarity of triangles, refer to this link:

brainly.com/question/25882965

#SPJ4

4 0
2 years ago
Stuck in this problem help please
marta [7]
Use trigonometry.

tan30° = perpendicular / base

Here for angle 30° , x is perpendicular while 10 is the base.

tan30° = 1/√3
1/√3 = x/10
x = 10/✓3

By rationalising
x = 10√3/3

Hope This Helps You!
3 0
4 years ago
Simplify so it's in slope-intercept form (y=mx+b)<br><br> y - 125 = 55(x - 2)
AlexFokin [52]

Answer:

y = 55x + 15

Step-by-step explanation:

i think this is it, but it might not be right

4 0
3 years ago
Help with these please.
zepelin [54]
For numbers 15-17, we need to remember that two of a triangle's angles are always acute and the third angle will allow us to classify the triangle based on its angles. now that we know this, let's look at #15. the first two angles listed are acute, and the third is an obtuse angle, therefore it is an obtuse triangle. on #16 we have three acute angles, so it is an acute triangle. #17 has two acute angles and a right angle so it is a right triangle.
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7 0
3 years ago
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