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frosja888 [35]
3 years ago
6

Explain and show how to find the square root of 50 to the nearest tenth

Mathematics
1 answer:
4vir4ik [10]3 years ago
7 0

Answer:

\sqrt{50}=7.1

Step-by-step explanation:

We want to find the square root of 50;

We need to first rewrite 50 as a prime factorization.

\sqrt{50}=\sqrt{25\times 2}

We now split the square root to get:

\sqrt{50}=\sqrt{25}\times \sqrt{2}

Take square root to get:

\sqrt{50}=5 \sqrt{2}

\sqrt{50}=5(1.414)=7.07

To the nearest tenth we have \sqrt{50}=7.1

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The figure shows a vertical section through the
just olya [345]

Answer:

i. 33.51 cm³

ii. 14.14 cm³

iii. 231.61 g

Step-by-step explanation:

(i) the total volume of the paper weight,

Since the paper weight is in the form of a cone, its volume is the volume of a cone V = πD²h/12 where D = diameter of cone = 4 cm and h = height of cone = 8 cm

So, V = πD²h/12

V = π(4 cm)² × 8 cm/12

V = 16π cm² × 8 cm/12

V = 128π cm³/12

V = 402.124 cm³/12

V = 33.51 cm³

(ii) the volume of the wooden portion,

The volume of the wooden portion, V' = πr'²h'/3 where r' = radius of wooden portion and h' = height of wooden portion

From similar triangles in the figure, we have

height of wooden portion, h'/radius of wooden portion, r' = height of paper weight, h/radius of paper weight, r

h'/r' = h/r where r = D/2 where D =diameter of paper weight = 4 cm. So, r = 4 cm/2 = 2 cm

and h' = height of paper weight - height of lead portion = 8 cm - 2 cm = 6 cm

So,

r' = rh'/h = 2 cm × 6 cm/8 cm = 12 cm²/8 cm = 1.5 cm

So, V' = πr'²h'/3

V' = π(1.5 cm)² × 6 cm/3

V' = π2.25 cm² × 2 cm

V' = 4.5π cm³

V' = 14.14 cm³

(iii) the total mass of the paper weight.

The total mass of paper weight, m = mass of wooden portion + mass of lead portion = ρ'V' + ρ"V" where ρ' = density of wood = 0.9 g/cm³, V' = volume of wooden portion = , ρ" = density of lead = 11.3 g/cm³ and V" = volume of lead portion = V - V' = 33.51 cm³ - 14.14 cm³ = 19.37 cm³

So, m = 0.9 g/cm³ × 14.14 cm³ + 11.3 g/cm³ × 19.37 cm³

m = 12.726 g + 218.881 g

m = 231.607

m ≅ 231.61 g

8 0
3 years ago
4x+3y-2(x to the second power +3) x=4 y=6
nalin [4]
The answer to 4x×3y-2 (x to the second power ×3) x=4 y=6
The answer is 35
7 0
3 years ago
Read 2 more answers
Please help i will mark brainly
OverLord2011 [107]

The answer:

Is d  have a good day

5 0
4 years ago
ABC is not an acute triangle what is the first step of indirectly proving this statement
dmitriy555 [2]

Answer:

Assume ΔABC is an acute triangle.

Step-by-step explanation:

Given the triangle ABC.

We have to tell the first step of indirect proving ΔABC is not an acute triangle.

An indirect proof, also known a proof by contradiction. When we use indirect proof method, we assume the opposite of our theory to be true and then by applying our assumed theory we contradict the given statement which proves our supposition is wrong. In other words, we assume our theory is false.

Hence, our first step is to

Assume ΔABC is an acute triangle.

Third option is correct.

5 0
3 years ago
A pole-vaulter uses a 15-foot-long pile. She grips the pole so that the segment below her left hand is twice the length of the s
Shalnov [3]
Let x + 1.5 be length of segment above left hand
Let 2x be length of segment below left hand

15 = x + 1.5 + 2x
15 = 3x + 1.5
15 - 1.5 = 3x
13.5 = 3x
13.5/3= 3x/3 
4.5 = x
x = 4.5
This is the length above the left hand. 

2x must be then 4.5*2 = 9 foot
This is the length below the left hand. 

Checking
4.5 + 9 + 1.5 = 15 foot 

Adding length below left hand & length of left hand to right hand:
9 + 1.5 = 10.5
The right hand is hence 10.5 foot far up the pole.
6 0
3 years ago
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