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klio [65]
3 years ago
5

Work out the surface area of this solid prism.

Mathematics
1 answer:
alexandr1967 [171]3 years ago
5 0

Answer:

2520cm²

Step-by-step explanation:

Surface area = sum of the area of all the bases.

Area of bottom base = 28 * 30 = 840

Area of right base = 25 * 30 = 750

Area of left base = 17 * 30 = 510

Area of two triangles = ( 15 * 28 ) / 2 = 210 * 2 = 420

Then add all the areas together to find surface area

Surface area = 840 + 750 + 510 + 420 = 2520cm²

Relevant Formulas:

Area of a rectangle = length * width. This formula was used to find the area of the bottom base, the right base and the left base

Area of a triangle = ( height * base length ) / 2 . This formula was used to find the area of the sides which are triangles.

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Find Sn for the arithmetic series 5+7+9 + … and determine the value of n for which the series has sum 165.
SVETLANKA909090 [29]

Answer:

see explanation

Step-by-step explanation:

the sum to n terms of an arithmetic sequence is

S_{n} = \frac{n}{2}[2a + (n - 1)d ]

where d is the common difference and a is the first term

here d = 9 - 7 = 7 - 5 = 2 and a = 5, hence

S_{n} = \frac{n}{2}[(2 × 5) + 2(n - 1) ]

                        = \frac{n}{2}(10 + 2n - 2)

                        = \frac{n}{2}(2n + 8)

                        = n² + 4n

When sum = 165, then

n² + 4n = 165 ← rearrange into standard form

n² + 4n - 165 = 0 ← in standard form

(n + 15)(n - 11) = 0 ← in factored form

equate each factor to zero and solve for n

n + 15 = 0 ⇒ n = - 15

n - 11 = 0 ⇒ n = 11

but n > 0 ⇒ n = 11



4 0
3 years ago
A boy can swim 75 feet in 12 seconds. What is his rate to the nearest mile per hour?
oee [108]
S=d/t so in this case it's 75/12 which is 6.25. Round it and you got 6 miles per hour.
7 0
3 years ago
Read 2 more answers
I need your help please 30 points!​
gizmo_the_mogwai [7]

Answer:

this is the answer

Step-by-step explanation:

8 0
3 years ago
A movie rental website charges $5.00 per month for membership and $1.25 per movie.How many movies did Andrew rent this month if
Oksanka [162]
So to start subtract $5 from $16.25 for the monthly membership
That gives you $11.25
So then you Just divide...
$11.25 divided by $1.25
which gives you 9
So bill rented 9 movies for the month

Hope this helped! :)
6 0
3 years ago
The sum of 5 consecutive integers is 265. What is the fifth number in this sequence ?
Yanka [14]
Hello,
Let's assume n,n+1,n+2,n+3,n+4 the 5 numbers

n+(n+1)+...+(n+4)=5n+10=265
5n=265-10
5n=255
n=51
The 5th number is 51+4=55

6 0
3 years ago
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