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trasher [3.6K]
3 years ago
13

Find the 50th term of the sequence 5,-2,-9,-16 ,,,

Mathematics
1 answer:
Mademuasel [1]3 years ago
7 0
Common difference is -2-5 = -7
first term is 5

a_50 = 5 -7(50-1) = -338

2) d = 3 - (-7) = 10
 a = -7

a_110 = -7 + 10(110 - 1) = 1083

d = -27 - (-22) = -5

second -7 - 5=  -12
third = -12 - 5 = -17




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Find the area of the composite shape below.<br><br> a 66.8<br> b 91.92<br> c 101.12<br> d 101.6
Evgesh-ka [11]

Answer:

66.24 (This answer does not match to any of the options...)

Step-by-step explanation:

This shape can be divided into 2 different shapes. A triangle and a rectangle.

Area of a Triangle = \frac{1}{2} × base × height

= \frac{1}{2} × 8.8 × 7.8

= 34.32

Area of a Rectangle = Length × Width

= (19.2 - 7.8) × (8.8 - (3+3))

= 11.4 × 2.8

= 31.92

Total area = 34.32 + 31.92 = 66.24

                         

3 0
3 years ago
Read 2 more answers
What is the volume of the following triangular prism?
Eva8 [605]

Answer:

V=150cm^3

Step-by-step explanation:

First we need to find area of the triangle with a base of 4 cm and a height of 5cm, and then multiply that by the length of the prism of 15cm.

The area of the triangle is given by the  formula:

A_T=\frac{bh}{2}

where b is the base: b=4cm and h is the height: h=5cm

thus, in this case we have:

A_T=\frac{(4cm)(5cm)}{2}\\ \\A_T=\frac{20cm^2}{2} \\\\A_T=10cm^2

And now, the volume will be the area of the triangle multiplied by the length l=15cm of the prism:

V=A_T*l

Substituting the known values:

V=10cm^2*15cm\\V=150cm^3

The volume in cubic centimeters is 150.

4 0
3 years ago
If 15% of N is 45% of 2003, what is the value of N?
Vera_Pavlovna [14]
Use the rule is/of, %/100
5 0
4 years ago
Evaluate.<br><br><br> 2 • {390 – [5 • (10 – 4 ÷ 2)] + 15} • 2
otez555 [7]
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8 0
4 years ago
Nalia worked 3.5 hours more than lisa together they worked a total of 18 hours lisa worked h hours
andre [41]

Answer:

7.25 and 10.75 Hours

Step-by-step explanation:

Total hours Nalia and Lisa worked = 18 Hours

Nalia worked 3.5 hours then Lisa which is h hours

⇒h + (h + 3.5) = 18

2h + 3.5 = 18\\2h = 18 - 3.5\\2h = 14.5\\h = \frac{14.5}{2} \\h = 7.25

Lisa has worked for 7.25 hours

Nalia has worked for = 7.25 + 3.5 = 10.75 hours

3 0
4 years ago
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