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grandymaker [24]
3 years ago
11

What is the 28th term of the arithmetic sequence with a 1 = 4 and d= -2

Mathematics
1 answer:
Amiraneli [1.4K]3 years ago
4 0

Answer:

Step-by-step explanation:

tn = a + (n-1)*d

t28 = 4 +   (27)*-2     27 because 27 = 28 - 1

t28  = 4 + - 54

t28 = 4 - 54

t28 = - 50      

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7 0
3 years ago
One member of a gardening club can plant flowers in 12 hours. With two members of the club working together the job can be done
mariarad [96]

Answer:

24 hours

Step-by-step explanation:

One member of the gardening club can alone plant flowers in 12 hours.

So in 1 hour he can plant 1/12 of the flowers.

Let the time required by the second member of the club to plant flowers alone be x hours.

Then in 1 hour he can plant 1/x of the flowers.

Now when the two members work together,each hour they can plant:

\[\frac{1}{12}+\frac{1}{x}\] of the flowers.

But they can together complete the job in 8 hours. So in one hour they plant 1/8 of the flowers.

=> \[\frac{1}{12}+\frac{1}{x}=\frac{1}{8}\]

=> \[\frac{1}{x}=\frac{1}{24}\]


=> x=24

So the second member can plant the flowers alone in 24 hours

4 0
3 years ago
Help me find y and z? Thanks!
Genrish500 [490]
There is 180deg in a half circle, and 360deg in a full circle.  complementary angles complete a half circle perfectly.
angle z is complementary to 111deg.  
z= 180 - 111= 69deg
z= 69deg
There are 360 total degrees in the figure because it makes one total revolution.
y= 360- 69- 94- 88
y= 109deg
Check - 109 +69 +94 +88= 360
6 0
3 years ago
The coordinates of the vertices of a rectangle are (−3, 4) , (7, 2) , (6, −3) , and (−4, −1) . What is the perimeter of the rect
ki77a [65]

Answrer

Find out the what is the perimeter of the rectangle .

To prove

Now as shown in the figure.

Name the coordinates as.

A(−3, 4) ,B (7, 2) , C(6, −3) , and D(−4, −1) .

In rectangle opposite sides are equal.

Thus

AB = DC

AD = BC

Formula

Disatnce\ formula = \sqrt{(x_{2} - x_{1})^{2} +(y_{2} - y_{1})^{2}}

Now the points  A(−3, 4) and  B(7, 2)

AB = \sqrt{(7- (-3))^{2} +(2- 4)^{2}}

AB = \sqrt{(10)^{2} +(-2)^{2}}

AB = \sqrt{100+4}

AB = \sqrt{104}

AB = 2\sqrt{26}\units

Thus

CD= 2\sqrt{26}\units

Now the points

A (−3, 4) , D (−4, −1)

AD = \sqrt{(-4 - (-3))^{2} +(-1- 4)^{2}}

AD = \sqrt{(-1)^{2} +(-5)^{2}}

AD = \sqrt{1 + 25}

AD = \sqrt{26}\units

Thus

BC = \sqrt{26}\units  

Formula

Perimeter of rectangle = 2 (Length + Breadth)

Here

Length = 2\sqrt{26}\ units

Breadth = \sqrt{26}\ units  

Perimeter\ of\ rectangle = 2(2\sqrt{26} +\sqrt{26})

Perimeter\ of\ rectangle = 2(3\sqrt{26})

Perimeter\ of\ rectangle = 6\sqrt{26}

\sqrt{26} = 5.1 (Approx)

Perimeter\ of\ rectangle = 6\times 5.1

Perimeter of a rectangle = 30.6 units.

Therefore the perimeter of a rectangle is 30.6 units.

8 0
3 years ago
Essica is a custodian at Oracle Arena. She waxes 20 \text{ m}^220 m 2 20, space, m, start superscript, 2, end superscript of the
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7 0
3 years ago
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