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Eva8 [605]
3 years ago
11

SECTION-D

Mathematics
1 answer:
expeople1 [14]3 years ago
7 0

Answer:

For the triangle having the sides 122m, 120m and 22m :

s=

2

122+120+22

=132m

Area of triangle =

s(s−a)(s−b)(s−c)

=

132(132−122)(132−120)(132−22)

=

132×10×12×110

=1320m

2

For the triangle having the sides 22m, 24m and 26m :

s=

2

22+24+26

=36m

=

36(36−22)(36−24)(36−26)

=

36×14×12×10

=24

105

=24×10.25m

2

(approx.)=246m

2

There, the area of the shaded portion

=(1320−246)m

2

=1074 m

2

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Simplify the expression.<br><br> [(11 - 4)^3]^2 ÷ (4 + 3)^5
MAXImum [283]

Answer:

<h2>7</h2>

Step-by-step explanation:

\left[\left(11\:-\:4\right)^3\right]^2\:\div \left(4\:+\:3\right)^5\\\\\frac{\left(\left(11-4\right)^3\right)^2}{\left(4+3\right)^5}\\\\\mathrm{Subtract\:the\:numbers:}\:11-4=7\\\\=\frac{\left(7^3\right)^2}{\left(4+3\right)^5}\\\\\mathrm{Add\:the\:numbers:}\:4+3=7\\\\=\frac{\left(7^3\right)^2}{7^5}\\\\\left(7^3\right)^2=7^6\\\\=\frac{7^6}{7^5}\\\\\mathrm{Apply\:exponent\:rule}:\quad \frac{x^a}{x^b}=x^{a-b}\\\\\frac{7^6}{7^5}=7^{6-5}\\\\\mathrm{Subtract\:the\:numbers:}\:6-5=1\\\\=7

5 0
3 years ago
Find an equation of a line passing through the point (8,9) and parallel to the line joining the points (2,7) and (1,5).
TiliK225 [7]

Answer:

2x - y - 7 = 0

Step-by-step explanation:

Since the slope of parallel line are same.

So, we can easily use formula,

y - y₁ = m ( x ₋ x₁)

where, (x₁, y₁) = (8, 9)

and m is a slope of line passing through (x₁, y₁).

and since the slope of parallel lines are same, so here we use slope of parallel line for calculation.

and, Slope = m = \dfrac{y_{b}-y_{a}}{x_{b}-x_{a}}

here, (xₐ, yₐ) = (2, 7)

and, (y_{a},y_{b}) = (1, 5 )

⇒ m = \dfrac{5-7}{1-2}

⇒ m = 2

Putting all values above formula. We get,

y - 9 = 2 ( x ₋ 8)

⇒ y - 9 = 2x - 16

⇒ 2x - y - 7 = 0

which is required equation.

3 0
2 years ago
Read 2 more answers
If X is an integer and 7&lt; square root of X &lt;8, what is one of the possible values of X?
garri49 [273]
D: x ≥ 0

7 < √x < 8 ⇒ 7² < x < 8² ⇒ 49 < x < 64

Answer: x = 50 or x  = 51 or x = 52 or ... or x = 63.
4 0
3 years ago
Marc sold 516 tickets for the school play. Student tickets cost $3 and adult tickets cost $5. Marc's sales totaled $2046. How ma
mrs_skeptik [129]
Let student tickets are x and adult tickets are y

x + y = 516.........x = 516 - y .........(substitute in 2)

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2y = 498

y = 249

x = 516 - y = 516 - 249 = 267

so the correct answer is b


8 0
3 years ago
What’s the distance between -1/2 and 5/4 ?
Y_Kistochka [10]

Answer:

-1.75

Step-by-step explanation:

8 0
3 years ago
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