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Ganezh [65]
3 years ago
8

What is x when: |5x|=3

Mathematics
2 answers:
lana [24]3 years ago
5 0
5x=+/- 3
x=+/- 3/5
(plus-minus 3/5)
MissTica3 years ago
4 0

Answer:

3/5

Step-by-step explanation:

5x= 3

x= 3/5

hope you understand the answer

stay at home stay safe

keep rocking

pls mark me as BRAINLIEST

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A triangle has three sides 35cm 54 cm and 61 cm find its area Also find the smallest of its altitude ​
I am Lyosha [343]

Answer:

Area of given triangle is 939.15cm² and smallest altitude is 30.8cm

<h3>Solution:</h3>

We are given three sides of a triangle, Let the sides be :

  • ( a ) = 35 cm

  • ( b ) = 54 cm

  • ( c ) = 61 cm

We can find the area of the triangle with its three sides using Heron's Formula

  • <u>Heron's </u><u>Formula</u>

Heron's formula was founded by hero of Alexandria, for finding the area of triangle in terms of the length of its sides. Heron's formula can be written as:

\sf{   \pmb { \longrightarrow \:  \sqrt{s(s - a)(s - b)(s - c)} }}

where ( s ) :

\sf \longrightarrow s = \dfrac{a + b + c}{2}

Therefore, for the given triangle first we will calculate ( s )

\begin {aligned}\quad & \quad \longmapsto  \sf  s =  \dfrac{a + b + c}{2}  \\  & \quad \longmapsto  \sf s =  \dfrac{35 + 54 + 61}{2}  \\ & \quad \longmapsto  \sf s =  \dfrac{150}{2}  \\ & \quad \longmapsto  \sf s  = 75cm \end{aligned}

Now, Area of triangle will be:

\begin{aligned}&:\implies \sf\quad \sf \:  A = \sqrt{s(s - a)(s - b)(s - c)} \\ &:\implies \sf\quad \sf \:  A = \sqrt{75(75 - 35)(75 - 54)(75 - 61)}   \\&:\implies \sf\quad \sf \:  A = \sqrt{75 \times 40 \times 21 \times 14}  \\ &:\implies \sf\quad \sf \:  A = \sqrt{5 \times 5 \times 3 \times 3 \times 2 \times 2 \times 7 \times 7 \times 2 \times 2 \times 5}  \\ &:\implies \sf\quad \sf \:  A =5 \times 3 \times 2 \times 7 \times 2 \sqrt{5}  \\ &:\implies \sf\quad \sf \:  A =420 \times 2.23 \\ &:\implies \sf\quad \sf \boxed{ \pmb{ \sf   A =939.15 {cm}^{2} }} \end{aligned}

Also, we have to find the smallest altitude, and the smallest altitude will be on the longest side. So,

\begin{aligned}&:\implies \sf\quad \sf \:  Area =939.15 \\ &:\implies \sf\quad \sf \:   \dfrac{1}{2}  \times b \times h =939.15 \\ &:\implies \sf\quad \sf \:   \dfrac{1}{2} \times 61 \times h  = 939.15 \\&:\implies \sf\quad \sf \:  h =939.15 \times  \dfrac{2}{61}   \\&:\implies \sf\quad \sf \:  h = \dfrac{1818.3}{61}  \\ &:\implies \sf\quad  \boxed{ \pmb{\sf \:  h =30.79 \: (approx)}} \end{aligned}

3 0
2 years ago
Read 2 more answers
Guys, please please help me
agasfer [191]

Answer:

508.68

Step-by-step explanation:

Upper and lower surfaces of the cylinder:

\pi r^{2} =9\pi \\S=2*9\pi =18\pi

Side area of the cylinder:

S=sh=\pi dh=6\pi *3*8=144\pi

The total area:

S=114\pi +18\pi =162\pi =162*3.14=508.68

5 0
3 years ago
Juan earns $55,000 a year. His taxes are 10% of his earnings. How much does he pay in taxes?
lana66690 [7]

Answer:

5,500

Step-by-step explanation:

this is quite simple

multiply his earnings by a tenth

55,000 times 1/10

5,500

5 0
3 years ago
Read 2 more answers
A circle has a circumfence of 3.14 units what is the diameter of this circle ?
Agata [3.3K]

Answer:

Step-by-step explanation:

4 0
3 years ago
Which relation is displayed in the table? {(3,3), (3,  7), (5, 8), (9,0)} {(3,3), (7,  3), (8, 5), (0,9)} {(3,3), (3, 7), (5, 9)
bulgar [2K]

Answer:

{(3,3), (3,  7), (5, 8), (9,0)

Step-by-step explanation:

The first number of an ordered pair is the x value and the second number is the y value.


3 0
3 years ago
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