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3 years ago

What two prime numbers equal 85

Mathematics

2 answers:

fgiga [73]3 years ago

8 0

1 + 85 = 85...............

hram777 [196]3 years ago

7 0

One and eighty five. 1x85=85 but 85 isnt prime>>>

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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,

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

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2 years ago

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How to unscramble this word nioarlta

Zielflug [23.3K]

Since this is in the Mathematics subject my best answer would be Rational.

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3 years ago

HELLLPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPP

rodikova [14]

Answer:

16%

Step-by-step explanation:

Blue = 6

Green = 7

Purple = 5

Red = 4

Orange = 3

25 Students in total

Probability of Red = 4/25

Or 16/100

16%

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2 years ago

Find the measure of ∠5.<br><br> Given:<br> ∠4 = 37°<br> ∠8 = 62°

Lisa [10]

Answer:

Step-by-step explanation:

Geometry is not my best subject but here's what I did:

The sum of the angles in a triangle is 180 so if we add 4 and 8 we can get angle 6

--> 180 - (37+62)

--> 180 - 99

---> 81

The sum of the angles on a line intersected at a point = 180

180 - 81 = Angle 5

Angle 5 = 99

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3 years ago

Does this graph represent a function? What is the domain and range of the graph?

eimsori [14]

Answer:

Yes; domain: all real numbers; range: y $\geq$ 0

Step-by-step explanation:

1. Use the vertical line test to see if it is a function.

2. Figure out what the lowest and highest point x can be. In this case x can be any number

3. Figure out what the lowest and highest point of y can be. In this case y is not negative, the lowest it can be is 0. So y $\geq$ 0

*Note: Domain are the x values & Range are the y values

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3 years ago