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3 years ago

Write 96% as a fraction.

Mathematics

2 answers:

RoseWind [281]3 years ago

6 0

Answer:

Directly, it would be 96/100. However, we can reduce it to become 48/50 = 24/25.

(underlined is simplest answer)

Marat540 [252]3 years ago

6 0

24/25

Step-by-step explanation:

96%

=96/100

=24/25

answer

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9. The figure shows a rectangle with its length and

lora16 [44]

Answer:

875cm^2

Step-by-step explanation:

since opposite sides are equal

3x-y=2x+y

x=2y

y=x/2 ....(i)

thus new length=2x+y

=2x+(x/2) [using (i)]

=(4x+x)/2

l=5x/2 .....(ii)

now,

perimeter=2(l+b)=120cm

l+b=60cm

from figure and using (ii)

[5x/2]+2x-3=60

[5x+4x-6]/2=60

9x-6=120

9x=126

x=126/9

x=14 ..........(iii)

substitute (iii) in (i)

y=14/2

y=7 ...........(iv)

From figure,

length=2x+y [using (iii) and (iv)]

=2x14+7

length=35cm

breadth=2x-3

=2x14-3 ....[using(iii)]

=28-3

breadth=25cm

now,

Area=lxb

=35x25

=875cm^2

7 0

3 years ago

In ΔABC, the lengths of a, b, and c are 22.5 centimeters, 18 centimeters, and 13.6 centimeters, respectively.

Irina-Kira [14]

Given the values of the three sides of the triangle, we can apply the Cosine Law to find the angles of the triangle. Recall that for we can express the value of c through the equation below.

$c^{2} = a^{2} + b^{2} - 2abcosC$

Rearranging this equation, we can find the value ∠C as shown below.

$\cos C = \frac{a^{2}+b^{2}-c^{2}}{2ab}$
$C = cos^{-1} (\frac{a^{2}+b^{2}-c^{2}}{2ab})$

We can apply the same reasoning for finding the value of ∠B as shown.

$B = cos^{-1} (\frac{a^{2}+c^{2}-b^{2}}{2ac})$

Plugging in the values of the sides (see image attached) from the given. It will now be straightforward to compute for ∠B and ∠C.

$C = cos^{-1} (\frac{22.5^{2}+18^{2}-13.6^{2}}{2(22.5)(18)})$
$C \approx 37.19$

$B = cos^{-1} (\frac{22.5^{2}+13.6^{2}-18^{2}}{2(22.5)(13.6)})$
$B \approx 53.13$

Answer: ∠C = 37.19° and ∠B = 53.13°