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balandron [24]
3 years ago
10

A rectangular region is removed from another rectangular region to create the shaded region shown below. Find the area of the sh

aded region.

Mathematics
1 answer:
Mila [183]3 years ago
6 0

Answer:

52

Step-by-step explanation:

Area of bigger rectangle (A1)= 9×11=99

Area of smaller rectangle(A2)=8×6=48

Area of shaded region(A)=99-48=52

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A partial sum of an arithmetic sequence is given. Find the sum.
Nezavi [6.7K]

Answer:

72.3

Step-by-step explanation:

Given that:

The arithmetic sequence:

\sum \limits ^{14}_{k=0} (3 + 0.26k)

The first term of the sequence a_0 = 3 since k = 0

i.e (3 + 0.26(0)) = 3

The last term of the sequence a_{14} = 6.64

i.e (3+ 0.26(14)

= (3 + 3.64)

= 6.64

Total no of terms = 15 i.e from 0 to 14

∴

The partial sum of the arithmetic sequence = \dfrac{Total \ no \ of \ terms }{2}  \times (a_o+a_{15})}

=\dfrac{15 }{2}  \times (3+6.64)}

= 72.3

3 0
3 years ago
Just need the answers
Tju [1.3M]
Given is the ones that say they are given on 2 3 4 & 5
6 0
3 years ago
Factor the trigonometric equation.<br> cos2x-cosx
prisoha [69]

Cos(2x) = cos^2(x) - sin^2(x) - cos(x)

but sin^2(x) = 1 - cos^2(x)

cos(2x) - cos(x) = cos^2(x) - (1 - cos^2(x) ) - cos(x)

cos(2x) - cos(x) = cos^2(x) - 1 + cos^2(x) - cos(x)

cos(2x) - cos(x) = 2cos^2(x) - 1 - cos(x)

cos(2x) - cos(x) = (2cos(x) + 1)(cos(x) - 1)

I think this is what you have asked for.

4 0
3 years ago
What is the distance between the points (-1,4) and (7,4)?
user100 [1]

Answer:

8

Step-by-step explanation:

=(7−(−1))2+(4−4)2‾‾‾‾‾‾‾‾‾‾‾‾‾‾‾‾‾‾‾‾√

=(8)2+(0)2‾‾‾‾‾‾‾‾‾‾√

=64+0‾‾‾‾‾‾√

=6‾√4

=8

8 0
3 years ago
PLEASE HELPPPPP
dsp73

Answer:

see explanation

Step-by-step explanation:

the equation of parabola in vertex form is

y = a(x - h)² + k

where (h, k ) are the coordinates of the vertex and a is a multiplier.

here (h, k ) = (3, 1 ) , then

y = a(x - 3)² + 1

to find a substitute any other point on the graph into the equation.

using (0, 7 )

7 = a(0 - 3)² + 1 ( subtract 1 from both sides )

6 = a(- 3)² = 9a ( divide both sides by 9 )

\frac{6}{9} = \frac{2}{3} = a

y = \frac{2}{3} (x - 3)² + 1 ← in vertex form

------------------------------------------------------

the equation of a parabola in factored form is

y = a(x - a)(x - b)

where a, b are the zeros and a is a multiplier

here zeros are - 1 and 3 , the factors are

(x - (- 1) ) and (x - 3), that is (x + 1) and (x - 3)

y = a(x + 1)(x - 3)

to find a substitute any other point that lies on the graph into the equation.

using (0, - 3 )

- 3 = a(0 + 1)(0 - 3) = a(1)(- 3) = - 3a ( divide both sides by - 3 )

1 = a

y = (x + 1)(x - 3) ← in factored form

3 0
2 years ago
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