Is 5 inches bigger than 1/3 if a foot

Answer:

810 cm^3

Step-by-step explanation:

Since,the l(length) b(breadth) & h(height) of the cuboid bear the ratio 5 : 3 : 2 ,we could assume it as:

We know that,

So substitute the dimensions we assumed:

[tex] \rm \: Total \; Surface\; area \: of \: the \; cuboid = 2(5z \times 3z + 3z \times 2z + 2z \times 5z[/tex]

[tex] \implies \rm \: 279 = 31 {z}^{2} [/tex]

[tex] \rm \implies {z}^{2} = \cfrac{279}{31} [/tex]

[tex] \rm \implies {z}^{2} = 9[/tex]

[tex] \implies \rm \: z = \sqrt{9} [/tex]

[tex] \rm \implies \: z = \sqrt{3 \times 3} = 3[/tex]

Hence, according to the formula,

We got the dimensions of the cuboid, i.e.

Then, solve.

Hence,the volume of the cuboid will be 810 cm^3

Answer:

n = -10

Explanation:

[tex]\Rightarrow \sf \dfrac{1}{n} +\dfrac{4n+16}{n^2-6n} =\dfrac{4}{n-6}[/tex]

Factor the common term

[tex]\Rightarrow \sf \dfrac{1}{n} +\dfrac{4n+16}{n(n-6)} =\dfrac{4}{n-6}[/tex]

Make the denominator same

[tex]\Rightarrow \sf \dfrac{n-6}{n(n-6)} +\dfrac{4n+16}{n(n-6)} =\dfrac{4}{n-6}[/tex]

Join the fractions

[tex]\Rightarrow \sf \dfrac{n-6+4n+16}{n(n-6)}=\dfrac{4}{n-6}[/tex]

simplify the following

[tex]\Rightarrow \sf \dfrac{5n+10}{n(n-6)}=\dfrac{4}{n-6}[/tex]

cross multiply

[tex]\Rightarrow \sf\left(5n+10\right)\left(n-6\right)=n\left(n-6\right)\cdot \:4[/tex]

cancel out common term

[tex]\Rightarrow \sf\left(5n+10\right)=4n[/tex]

exchange sides

[tex]\Rightarrow \sf 5n-4n=-10[/tex]

simplify

[tex]\Rightarrow \sf n=-10[/tex]

Answer:

3

Step-by-step explanation:

to find the volume of a rectangular prism, Volume = length x height x width

Volume is 45 units (given)

length is 5 units (given)

45 = 5 x w x l

45 / 5 = w x l

9 = w x l

only 3 x 3 = 9 works with these numbers

45 = 5 x 3 x 3

Answer:

3.1

Step-by-step explanation:

sine 70= x/4

sin= opposite/hypotenuse

Answer:

66?

Step-by-step explanation:

Answer:

333.33

Step-by-step explanation:

If we know that 1/5 of an unkown number is 100, then to find then original number we can multiply 100 by 5. This leaves us with 500, the original number. Now, we can multiply 500 by 2/3 to find our final answer.

500 * 2/3 = 333.33

Answer:

? where is it

Step-by-step explanation:

(f + g)(x) = 2 x²+6x+2

The composition of a function is an operation where two functions say f and g generate a new function say h in such a way that h(x) = g(f(x)). It means here function g is applied to the function of x. So, basically, a function is applied to the result of another function.

Given function is:

f ( x ) = 2 x + 2 and g ( x ) = 2 x² + 4 x

So,

(f + g)(x)

= f(x)+g(x)

= 2x+2+2 x² + 4 x

=2 x²+6x+2

Hence, (f + g)(x) = 2 x²+6x+2.

Learn more about composition of function here:

https://brainly.com/question/20379727

#SPJ1

Answer:

4.a

5.b

Step-by-step explanation:

In question 4, the shape and width of the origin must be negative, which is the only *a*

slop

The slope of the line comes before x

Answer:

Answer is in attachment

Mark brainliest :)

Answer:

density: 0.25 g/cm³

Explanation:

density = mass/volume

Here given:

· mass: 16 grams

· volume: side³ = 4³ = 64 cm³

Find density:

· mass/volume

· 16/64

· 0.25 g/cm³

Answer:

= 6 items per hour

Explanation:

This is a fraction equal to 18 items ÷ 3 hours

We want a unit rate where 1 is in the denominator, so we divide top and bottom by 3

18 items ÷ 3

3 hours ÷ 3

= 6 items/1 hour

= 6 items/hour

= 6 items per hour

Answer:

3rd option,

24   -12   6

42   18    0

Step-by-step explanation:

6 x (4) = 24

6 x (-2) = -12

6 x (1) = 6

6 x (7) = 42

6 x (3) = 18

6 x (0) = 0

Using proportions, it is found that the conversions are given as follows:

a) 175.89 rands were worth $14.07.

b) 56.56 dollars were worth 708.13 rands.

A proportion is a fraction of a total amount, and the measures are related using a rule of three.

In this problem, we have the following proportion:

1 rand - 0.08 U.S. dollars.

Item a:

175.89 x 0.08 = $14.07, hence:

175.89 rands were worth $14.07.

Item b:

56.65/0.08 = 708.13, hence:

56.56 dollars were worth 708.13 rands.

More can be learned about proportions at https://brainly.com/question/24372153

#SPJ1

Answer:

first off the park you've listed is no match for the fact its more then 0.86.

Step-by-step explanation:

[tex]tan^{-1} (\frac{7}{420} )\\\\= arctan (\frac{7}{420} )\\\\= arctan (\frac{1}{60} )\\= 0.95[/tex]

so basically it equals 0.95°

which basically means 0.86 < 0.95.

Answer:

5/7

Step-by-step explanation:

3+2 is 5 over the same denominator because that's how many slices of pizza there are

The total surface area of the cone is 542.592 square mm

The formula for calculating the total surface area of a cone is expressed as:

TSA = πr(r + l)

where

r is the radius of the cone

l is the slant of the cone

Given the following parameter

l = 13.6mm

r = 8mm

Substitute

TSA = π(8)(8+13.6)
TSA = 3.14(8)(21.6)

TSA = 542.592 square mm

Hence the total surface area of the cone is 542.592 square mm

Learn more on surface area here: https://brainly.com/question/76387

#SPJ1

Answer:

[tex]-3x + 10y[/tex]

Step-by-step explanation:

Step 1:  Combine like terms

[tex]2x + 3y - 5x + 7y[/tex]

[tex](2x - 5x) + (3y + 7y)[/tex]

[tex]-3x + 10y[/tex]

Answer: [tex]-3x + 10y[/tex]

Answer:

uhm can i see the formula for the question?

Step-by-step explanation:

Yes, there is statistical evidence that the drug is effective in reducing infarct size because p-value is less than the significance value.

Let us first define the hypotheses;

Null Hypothesis; H₀: µ = 25

Alternative Hypothesis; H₁: µ < 25

Standard Deviation; σ = 10

Sample mean; x' = 16

Sample size; n = 8

z-score is;

z = (16 - 25)/(10/√8)

z = -2.55

From online z-score table, the p-value is 0.005

Since p-value is less than the significance value, then we reject the null hypothesis and conclude that the drug is effective in reducing infarct size.

Read more about Hypothetical Evidence at; https://brainly.com/question/875167

#SPJ1

Answer:

Slopem=−32

As a decimal:

m = -1.5

Step-by-step explanation:

Answer:12, 84 and 84

Step-by-step explanation:

since we  know 3 angles of a triangle = 180 degrees

1 angle = 12 degrees

12 + x + x = 180

12 + 2x = 180

2x= 180 - 12

2x = 168

x = 168/2

x = 84 degrees

Hope it helps! Mark it as Braniest

Answer:

64° , 64° , 52°

Step-by-step explanation:

       The two angles that are same be 'x'

        Third angle = x  - 12

Sum of all angles of triangle = 180

                      x + x + x -12      = 180

                                   3x - 12 = 180

                                          3x = 180 + 12

                                          3x = 192

                                             x = 192/3

                                             x = 64

x - 12 = 64 - 12

         = 52

Answer:

Problem 13: NO

Problem 14: YES

Step-by-step explanation:

HOPE IT HELPS YOU IN YOUR LEARNING PROCESS.

Answer:

55

Step-by-step explanation:

Answer:

17500

Step-by-step explanation:

That would be 35 * 500

= 17500

Answer:

w = [tex]\frac{P-2i}{2}[/tex]

Step-by-step explanation:

P = 2w + 2i ( subtract 2i from both sides )

P - 2i = 2w ( isolate w by dividing both sides by 2 )

[tex]\frac{P-2i}{2}[/tex] = w

Answer:

V=12.6cm^3

Step-by-step explanation:

Volume of Cone Formula: [tex]V=\pi r^2\frac{h}{3}[/tex]

Given:

Radius=2, Height=3

1. Plug in your given values into the formula

[tex]V=\pi 2^2\frac{3}{3}[/tex]

2. Solve

[tex]V=\pi 2^2\frac{3}{3}\\V=\pi 4\frac{3}{3}\\V=\pi 4*1\\V=\pi 4\\V=12.5663706144[/tex]

Rounded to tenths: 12.6

Answer:

C=1n

Step-by-step explanation:

So first you look for keywords, the most noticeable one is "total cost." C will be at the end of the equation.

C= ? + ?

Then, each hot dog costs $1 which means no matter how many hot dogs there will be, it will be multiplied by the cost. So, the answer is:

c=1n