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3 years ago

Is 3/2 greater than 1.hurry i nee a response

Mathematics

2 answers:

ICE Princess25 [194]3 years ago

7 0

Answer:

Yes

Step-by-step explanation:

3/2 = 1.5

1.5 > 1

Best of Luck!

gulaghasi [49]3 years ago

4 0

Answer:

yes

Step-by-step explanation:

3/2 is greater that one because in its mixed number form it is 1 1/2

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Find the slope of the line: x+4y+8=0 A) -4 B) 1/4 C) -1/4 D) 4

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Answer:

C) -1/4

Step-by-step explanation:

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2 years ago

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A monkey has filled in a 3 × 3 grid with the numbers 1, 2, . . . , 9. A cat writes down the three numbers obtained by multiplyin

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3 years ago

AREA, PERIMETER & VOLUME QUESTION

MrRissso [65]

Answer:

1. Case B

2. 9 cm³

3. 20 cm.

4. 4.5 m³

Step-by-step explanation:

Question 1: We are required to fit a drum having volume 14,000 cm³.

We know that the volume of cylinder = πr²h, where r is the radius and h is the height. So, according to the cases:

A. Here, r = 100 mm = 10 cm, h = 300 mm = 30 cm.

So, volume of the drum = πr²h = $\pi \times 10^{2} \times 30$ = 9424.78 cm³.

We cannot put the given drum inside this drum.

B. Here, r = 200 mm = 20 cm, h = 30 cm.

So, volume of the drum = πr²h = $\pi \times 20^{2} \times 30$ = 37699.11 cm³.

C. Here, r = 32 cm, h = 250 mm = 25 cm.

So, volume of the drum = πr²h = $\pi \times 32^{2} \times 25$ = 80424.77 cm³.

Out of options B and C, the smallest volume is in CASE B i.e. 37699.11 cm³.

So, Case B is the correct option.

Question 2: We have the dimensions of the speaker as,

Length = 45 cm = 0.45 m, Width = 0.4 m, Height = 50 cm = 0.5 m

Now, Volume of a cuboid = L×W×H

Thus, volume of the speaker = 0.45 × 0.4 × 0.5 = 0.09 m³ = 9 cm³.

Question 3: We have that the volume of the speaker is 30,000 cm³.

Also, Length = 30 cm = 0.45 m, Height = 500 mm = 50 cm.

So, volume of the speaker = L×W×H

i.e. 30,000 = 30 × W × 50

i.e. W = $\frac{30,000}{1500}$

i.e. W = 20 cm.

Hence, the width of the speaker is 20 cm.

Question 4: We have the dimensions as,

Base= 2 m, Length = 3 m, Height = 1.5 m

So, the volume of prism = $\frac{base\times height}{2} \times length$

i.e. Volume = $\frac{2\times 1.5}{2} \times 3$

i.e. Volume = 4.5

Thus, volume of the sand needed to be filled is 4.5 m³.

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3 years ago

Given vectors u = ⟨2, –3⟩ and v = ⟨1, –1⟩, what is the measure of the angle between the vectors?

oksano4ka [1.4K]

Answer:

The measure of the angle between the vectors = Ф = 11.30°

Step-by-step explanation:

Given

u = ⟨2, –3⟩

v = ⟨1, –1⟩

$\mathrm{Computing\:the\:angle\:between\:the\:vectors}:\quad \cos \left(\theta \right)\:=\frac{\vec{a\:}\cdot \vec{b\:}}{\left|\vec{a\:}\right|\cdot \left|\vec{b\:}\right|}$

Next, find the lengths of the vectors:

$\mathrm{Computing\:the\:Euclidean\:Length\:of\:a\:vector}:\quad \left|\left(x_1\:,\:\:\ldots \:,\:\:x_n\right)\right|=\sqrt{\sum _{i=1}^n\left|x_i\right|^2}$

u = ⟨2, –3⟩

$\:\:\left|u\right|\:=\sqrt{2^2+\left(-3\right)^2}$

$=\sqrt{13}$

u = ⟨2, –3⟩

$|v|=\sqrt{1^2+\left(-1\right)^2}$

$=\sqrt{2}$

Finally, the angle is given by:

$\mathrm{Computing\:the\:angle\:between\:the\:vectors}:\quad \cos \left(\theta \right)\:=\frac{\vec{a\:}\cdot \vec{b\:}}{\left|\vec{a\:}\right|\cdot \left|\vec{b\:}\right|}$

cos (Ф) = 5/√26

Ф = arc cos (cos (Ф)) = arc cos (5 √26) / (26)

Ф = 11.30°

Thus, the measure of the angle between the vectors = Ф = 11.30°

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3 years ago

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ratelena [41]

We know that

Population density is a measurement of population per unit area
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the answer is
16687 person/square mile

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4 years ago