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nirvana33 [79]
3 years ago
11

Which number completes the table...? 24 54 84 114 14 19

Mathematics
1 answer:
sweet [91]3 years ago
7 0

n            24                  54                    84                     114

n ÷6         4                    8                     14                      19

Answer : 8

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The points M(-7,2), N(-3,4), O(-5,8)M(−7,2),N(−3,4),O(−5,8), and P(-9,6)P(−9,6) form a quadrilateral. Find the desired slopes an
pochemuha

The slope of line PO and MN is 0.5. And the slope of the line ON and MP is negative 2. Then each length of the quadrilateral is 4.47 units.

<h3>What is a quadrilateral?</h3>

It is a quadrilateral with four sides. The total interior angle is 360 degrees.

The points M(−7,2), N(−3,4), O(−5,8), and P(−9,6) form a quadrilateral.

Then the slope of each line of the quadrilateral will be

The slope of the line PO will be

PO = (8-6)/(-5+9)

PO = 2/4

PO = 0.5

The slope of the line ON will be

ON = (8-4)/(-5+3)

ON = 4/(-2)

ON = -2

The slope of the line MN will be

MN = (4-2)/(-3+7)

MN = 2/4

MN = 0.5

The slope of the line MP will be

MP = (6-2)/(-9+7)

MP = 4/(-2)

MP  = -2

Then each length of the quadrilateral will be

The length of PO will be

PO = √[(-9+5)² + (6-8)²]

PO = 4.47

The length of ON will be

ON = √[(-5+3)² + (8-4)²]

ON = 4.47

The length of MN will be

MN = √[(-3+7)² + (4-2)²]

MN = 4.47

The length of MP will be

MP = √[(-9+7)² + (6-2)²]

MP = 4.47

More about the quadrilateral link is given below.

brainly.com/question/13805601

#SPJ1

4 0
2 years ago
A chemical spill is leaking into a river flowing 2 3/4 miles per hour. How long will it take the chemicals to reach a town locat
ExtremeBDS [4]

Answer:

6\frac{3}{11}=6.27 hours.

Step-by-step explanation:

We have been given that a chemical spill is leaking into a river flowing 2 3/4 miles per hour.

To find the time taken by chemical to reach the town we will divide distance of town from the spill by distance covered by chemical spill in one hour.

\text{Time taken by chemical to reach the town}=17\frac{1}{4} \div 2\frac{3}{4}

Upon converting our mixed fractions into improper fractions we will get,

\text{Time taken by chemical to reach the town}=\frac{69}{4} \div \frac{11}{4}

Dividing a fraction with another fraction is same as multiplying first fraction by the reciprocal of second fraction.

\text{Time taken by chemical to reach the town}=\frac{69}{4}\times \frac{4}{11}

After cancelling out 4 we will get,

\text{Time taken by chemical to reach the town}=\frac{69}{11}

\text{Time taken by chemical to reach the town}=6\frac{3}{11}

\text{Time taken by chemical to reach the town}=6.272727\approx 6.27

Therefore, it will take the chemicals 6\frac{3}{11}=6.27 hours to reach the town.

5 0
4 years ago
What is 5.092 rounded to the nearest hundredth?
goblinko [34]
5.09 because 2 is less then 5 so you round down
6 0
4 years ago
Read 2 more answers
~~~30 POINTS!!!!! WILL CHOOSE BRAINLIEST ANSWER!!!! &lt;3 &lt;3&lt;3&lt;3~~~
NeTakaya
Ok assuming that when he buys the fabric, he cuts pieces off to make it fit, but doesn't sow them in other places to make up the lost area

so
first find the area of tablecloth he needs to buy
area=pir^2
diameter=32
d=2r
r=d/2
r=32/2=16
adds 5 inches extra
16+5=21
r=21
area of cloth=pi21^2
are of cloth=441pi
aprox pi=3.14
area=441 tmes 3.14
area=1384.74


buys cloth with width of 50 and legnth of x
so we need 2 things
1. area of cloth bought>area of tablecloth
2. legnth &width must both be greater or equal to the diameter of the tablecloth (so we can make a circle fit)

new diameter=32+5+5=42 (2 sides)
so
l and w must both be greater than or equal to 42
 
50l>1384.74
divide both sides by 50 to find legnth
l>27.6948
but the legnth must be also greater than or equal to 42
so make l=42 for min legnth
area of cloth bought=lw=42 by 50=42 times 50=2100

so we do

area wasted=area bought-area needed
area needed=area of tablecloth=1384.74
area bought=2100
area wasted=2100-1384.74
area wasted=715.26 in^2


answer is wasted area=715.26 square inches




4 0
3 years ago
GEOMETRY PROOFS!
Elis [28]

Given that:

In ∆AMN and ∆TPE

MA = PE (Side )

∠AMN = ∠TPE (angle)

MN = PT (Side)

By SAS Property

∆ MAN =~ ∆ PET

∆ MAN =~ ∆ PET are congruent triangles .

<u>Answer:-</u> ∆ MAN =~ ∆ PET

<em>Additional</em><em> comment</em><em>:</em>

SAS Property:-

In two triangles , The two sides and the included angle are equal to the corresponding two sides and the included angle of the second triangle then they are congruent and this property is called Side-Angle-Side (SAS) Property.

<u>a</u><u>lso </u><u>read</u><u> similar</u><u> questions</u><u>:</u> I don't understand proof on geometry. How do you prove something that is given?

brainly.com/question/3914901?referrer

Geometry Proof: Given: ∠1 ≅ ∠2 ∠3 ≅ ∠4 Prove: M is the midpoint of JK

brainly.com/question/16969991?referrer

3 0
3 years ago
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