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2 years ago

If a snail crawls 12 centimeters per hour, how long will it take for the snail to travel 1 meter?

Mathematics

2 answers:

Nataly_w [17]2 years ago

5 0

Answer:

snail will take 8 hours and 20 minutes to crawl 1 meter.

Step-by-step explanation:

In this question we can calculate the time traveled by snail in 1 meter by applying unitary method.

∵ Snail crawls 12 centimeter distance in the time = 1 hour

∴ Snail crawls 1 centimeter in the time = $\frac{1}{12}$ hour

∴ Snail will crawl 100 centimeters (1 meter) = $\frac{100}{12}$ hours

= $8\frac{1}{3}$ hours

= 8hours 20minutes

Therefore, snail will take 8 hours and 20 minutes to crawl 1 meter.

aleksandrvk [35]2 years ago

4 0

8 1/3 hours :)))))))))))))))))

12x=100
X=100/12
X= 8 1/3

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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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1 year ago

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Anna put $500 into a savings account and made no more deposits or withdrawals. The account earns 2% simple interest per year. Ho

marishachu [46]

Answer:

Step-by-step explanation:

What I did was 2 divided by 100 = 0.02 Then multiply 0.02 times 500 and you should get 10 then multiply by how many years of interest and you get 50

<h3>hope this helped!</h3>

4 0

2 years ago

if Mary walks up three steps in three seconds, then how many seconds would it take to walk up the Lincoln Memorial (eighty-seven

Minchanka [31]

Answer:

87 seconds

Step-by-step explanation:

1 step = 1 second

87 steps is going to equal 87 seconds

Hope this helps! have a blessed day.

6 0

2 years ago

Read 2 more answers

Two altitudes of a triangle have lengths $12$ and $14$. What is the longest possible integer length of the third altitude

nataly862011 [7]

The longest possible altitude of the third altitude (if it is a positive integer) is 83.

According to statement

Let h is the length of third altitude

Let a, b, and c be the sides corresponding to the altitudes of length 12, 14, and h.

From Area of triangle

A = 1/2*B*H

Substitute the values in it

A = 1/2*a*12

a = 2A / 12 -(1)

Then

A = 1/2*b*14

b = 2A / 14 -(2)

Then

A = 1/2*c*h

c = 2A / h -(3)

Now, we will use the triangle inequalities:

a < b+c

2A/12 < 2A/14 + 2A/h

Solve it and get

h<84

b < a+c

2A/14 < 2A/12 + 2A/h

Solve it and get

h > -84

c < a+b

2A/h < 2A/12 + 2A/14

Solve it and get

h > 6.46

From all the three inequalities we get:

6.46<h<84

So, the longest possible altitude of the third altitude (if it is a positive integer) is 83.

Learn more about TRIANGLE here brainly.com/question/2217700

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8 0

1 year ago

Need help Will give you the brainliest

marshall27 [118]

Answer:

The missing area for both sides is 48ft²

the missing dimension is 12ft

Step-by-step explanation:

Add all the areas up

12+36+12+36=96

192-96=96

96÷2=48

48÷4=12

5 0

2 years ago