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8090 [49]
3 years ago
7

Can someone please help !!

Mathematics
1 answer:
valentinak56 [21]3 years ago
3 0
The correct answer would be the first one
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A rectangular yard measuring 26 ft by 36 ft is bordered (and surrounded) by a fence. Inside, a walk that is 2 ft wide goes all t
cestrela7 [59]

Answer:

  232 square feet

Step-by-step explanation:

The outside dimensions of the yard are 26 ft by 36 ft, so its total area is ...

  yard including walk = (26 ft)(36 ft) = 936 ft²

The dimensions of the yard inside the walkway are 22 ft by 32 ft, so that area is ...

  yard not including walk = (22 ft)(32 ft) = 704 ft²

The difference in these areas is the area of the walkway:

  walkway area = (yard including walk) - (yard not including walk)

  = (936 -704) ft² = 232 ft² . . . . area of the walk

_____

Another way to figure this is to consider the length of the centerline of the walkway. That is the perimeter of a rectangle that is 24 ft by 34 ft. The perimeter (centerline length) is 116 ft, and the width of the walk is 2 ft, so its area is ...

  (116 ft)(2 ft) = 232 ft²

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3 years ago
Angles α and β are angles in standard position such that: α terminates in Quadrant II and sinα = 3/5, β terminates in Quadrant I
777dan777 [17]

We are given

Angles α and β are angles in standard position

and

α terminates in Quadrant II

β terminates in Quadrant I

and we have

sin(\alpha)=\frac{3}{5}

we can use triangle and find cos(α)

we get

cos(\alpha)=-\frac{4}{5}

and we have

cos(\beta)=\frac{4}{5}

we can draw triangle

sin(\beta)=\frac{3}{5}

now, we can use formula

cos(\alpha+\beta)=cos(\alpha)cos(\beta)-sin(\alpha)sin(\beta)

now, we can plug values

cos(\alpha+\beta)=-\frac{4}{5}\times \frac{4}{5}-\frac{3}{5}\times \frac{3}{5}

now, we can simplify it

cos(\alpha+\beta)=-\frac{16}{25}-\frac{9}{25}

cos(\alpha+\beta)=-\frac{(16+9)}{25}

cos(\alpha+\beta)=-\frac{(16+9)}{25}

cos(\alpha+\beta)=-\frac{25}{25}

cos(\alpha+\beta)=-1...............Answer

3 0
3 years ago
What is a GEM math program?
katovenus [111]

Answer:

Gifted European Mathematicians (G.E.M.) project

Step-by-step explanation:

hope it is correct

8 0
3 years ago
Put these numbers in order from least to greatest 0.8 1/4 0.9 0.5
Elena L [17]
Least 0.5, 1/4, 0.8, 0.9 greatest
3 0
3 years ago
Read 2 more answers
Pleasse help me with this
djverab [1.8K]

Answer:

Step-by-step explanation:

30% off of $18.00

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