A quadrilateral regular pyramid, the area of any of its lateral faces equal the area of its base, if the side
length of the base of the pyramid is = 6 cm, then the volume of the pyramid =..........cm3
a) 36
b) 673
c) 36/15
d) 216V15

Answer:

We have that the sum of two numbers  is 9

this can be written as:

x + y  = 9

where x is the larger number.

Now we want to write:

"the difference between one more than the larger number and twice the smaller number"

First, remember that the difference between A and B is:

A - B

Then "the difference between one more than the larger number and twice the smaller number"

is:

"one more than the larger number" = ( x + 1)

"twice the smaller number" = 2*y

the difference between these is:

(x + 1) - 2*y

Now we can simplify:

We know that:

x + y = 9

then:

y = 9 - x

replacing that in the equation:

(x + 1) - 2*y

we would get:

x + 1 - 2*(9 - x)

x + 1  -18 + 2x

(x + 2x) + (1 - 18)

3x - 17

This means that we can write:

"the difference between one more than the larger number and twice the smaller number"

as: 3x - 17

Given:

The sum of the cubic powers of three rational numbers is -1009.

The ratio between the first number and the second number is [tex]\dfrac{2}{3}[/tex].

The ratio between the first number and the third number is [tex]\dfrac{4}{9}[/tex].

To find:

The three numbers.

Solution:

Let [tex]x,y,z[/tex] be the three numbers, then

[tex]x^3+y^3+z^3=-1009[/tex]                ...(i)

[tex]\dfrac{x}{y}=\dfrac{2}{3}[/tex]

[tex]3x=2y[/tex]

[tex]\dfrac{3}{2}x=y[/tex]                        ...(ii)

[tex]\dfrac{x}{z}=\dfrac{4}{9}[/tex]

[tex]9x=4z[/tex]

[tex]\dfrac{9}{4}x=z[/tex]                         ...(iii)

Using (i), (ii) and (iii), we get

[tex]x^3+\left(\dfrac{3}{2}x\right)^3+\left(\dfrac{9}{4}x\right)^3=-1009[/tex]

[tex]x^3+\dfrac{27}{8}x^3+\dfrac{729}{64}x^3=-1009[/tex]

[tex]\dfrac{64+216+729}{64}x^3=-1009[/tex]

[tex]\dfrac{1009}{64}x^3=-1009[/tex]

[tex]x^3=\dfrac{-1009\times 64}{1009}[/tex]

On simplification, we get

[tex]x^3=-64[/tex]

[tex]x^3=-4^3[/tex]

[tex]x=-4[/tex]

Substituting [tex]x=-4[/tex] in (ii), we get

[tex]\dfrac{3}{2}(-4)=y[/tex]

[tex]-6=y[/tex]

Substituting [tex]x=-4[/tex] in (iii), we get

[tex]\dfrac{9}{4}(-4)=z[/tex]

[tex]-9=z[/tex]

Therefore, the three numbers are -4, -6 and -9 respectively.

Answer:

60+14.35=88.27

Step-by-step explanation:

5x12 for the rectangle on the right, then for the circle, using the formula A=πr², I get 28.27, which you divide by 2 because you only need half of the circle, and you get 88.27. I calculated the radius by subtracting 12-6 and then dividing that in half because the radius is half of the distance to the other end of the circle. Then you get the radius of 3, then plug it into the formula to get π(3)², which is just 3.14(9), and you get 28.27.

Answer:

P = 37.42478 A = 88.27

Answer:

soln:

(5.5 × 107)

(3.2 × 10')

+ 2 × 105

_______________

8.8. ×.1011

Answer:

246×17=4182

2460×1700=4182000

(one zero on the end+2 zeroes in the end=3 zeroes in the end on the answer)

16×3=48

0,16×0,3=0,048

(2 numbers after comma+1 number after comma=3 numbers after comma in the answer)

Answer:

Step-by-step explanation:

Answer:

98.7 tonnes of sand.

Step-by-step explanation:

First find the total :

3 + 1 + 15 = 19

if 19 = 125 tonnes,

what about 15 = ?

(cross multiply)

[tex] \frac{15}{19} \times 125[/tex]

= 1875 ÷ 19

= 98.68

(rounded off to 1 decimal place)

= 98.7 tonnes of sand.

Answer:  [tex]\$202[/tex]

Step-by-step explanation:

Given

Jennifer has $400 more than Brian

Suppose Brian has x amount initially

So, Jennifer has 400+x

If Jennifer gives 20% of her to Brian, then brian would have two-third of the amount Jennifer left with

[tex]\Rightarrow \dfrac{2}{3}\times [400+x](1-0.2)=[400+x](0.2)+x\\\\\Rightarrow \dfrac{2}{3}\times 0.8\times (400+x)=80+0.2x+x\\\\\Rightarrow 213.334+0.533x=80+1.2x\\\Rightarrow 133.334=0.66x\\\Rightarrow x=\$202.02[/tex]

Thus, Brain has [tex]\$202[/tex]

Answer:

Answer is b

Step-by-step explanation:

cuh cuh cuh cuh cuh cuh , , , , , ,,

Answer:

c

Step-by-step explanation:

Answer:

Let the two equal angles be x . Hence the third angle is 3x . But the sum of the interior angles of a triangle always adds up to 180∘ . ∴x=1805=36∘

Answer:

Angle 1 = 36°

Angle 2 = 36°

Angle 3 = 108°

Step-by-step explanation:

Sum of all angles in any triangle is 180°

angle 1 = angle 2 = X

angle 3 = 3×X

angle 1 + angle 2 + angle 3 = 180°

X + X + 3×X = 5×X = 180°

X = 180° / 5 = 36°

Angle 1 = 36°

Angle 2 = 36°

Angle 3 = 108°

Let the ages be 3x and 4x

ATQ

[tex]\\ \Large\sf\longmapsto 4x-3x=5[/tex]

[tex]\\ \Large\sf\longmapsto x=5[/tex]

Now

[tex]\\ \Large\sf\longmapsto Age\:of\:Minu=3x=3(5)=15years[/tex]

[tex]\\ \Large\sf\longmapsto Age\:of\:Sudhir=4x=4(5)=20years[/tex]

Their present ages are 15 and 20 years.

Let the age of Minu be represented by x

Since the difference between their ages is 5 years, then the age of her brother will be x + 5.

Based on the information given in the question, the equation to use in solving the question will be:

x/(x + 5) = 3/4

Cross multiply

(4 × x) = 3(x + 5)

4x = 3x + 15

Collect like terms

4x - 3x = 15

x = 15

Minu's age is 15 years

Therefore, her brother's age will be:

= x + 5

= 15 + 5

= 20 years

In conclusion, their present ages are 15 and 20 years.

Read more on:

https://brainly.com/question/17671517

Answer: $265

Step-by-step explanation: I just added all the numbers together.

Answer:

11.2 cm

Step-by-step explanation:

Given that;

Arc Length Formula (if θ is in radians): l = ϴ × r

ϴ = angle subtended in radians

r= radius of the circle

l = 8cm × 1.4 radians

l= 11.2 cm

Answer:

The correct solution is "(0.092, 0.148)".

Step-by-step explanation:

Given:

Sample size,

n = 500

True proportion,

[tex]\hat {p} = \frac{60}{500}[/tex]

  [tex]=0.12[/tex]

The standard error will be:

[tex]SE=\sqrt{\frac{\hat p(1-\hat p)}{n} }[/tex]

     [tex]=\sqrt{\frac{0.12(1-0.12)}{500} }[/tex]

     [tex]=\frac{0.12(0.88)}{500}[/tex]

The confidence interval is "1.96".

hence,

The required confidence interval will be:

= [tex](\hat p - 1.96 SE, \hat p + 1.96 SE)[/tex]

By substituting the values, we get

= [tex](0.12-1.96\sqrt{\frac{0.12(0.88)}{500} }, 0.12+1.96\sqrt{\frac{0.12(0.88)}{500} } )[/tex]

= [tex](0.092, 0.148)[/tex]

Answer:

hijjijkkkmmkmjjjjjjjjjijjji

Answer:

6.5

Step-by-step explanation:

you just take whats between the numbers

Answer:

x = 1

Step-by-step explanation:

6x - 9 = 2x - 5

Move variables to one side

6x - 9 = 2x - 5

-2x       -2x

4x - 9 = - 5

Isolate variable

4x - 9 = - 5

    + 9    +9

4x = 4

4x/4 = 4/4

x = 1

Answer:

x=- 31/3

Step-by-step explanation:

distribute 5(2x+3)-4x=-4+3x(x-4)

10x+15-4x=-4+3(x-4)

combine like terms

distribute

Answer:

a.

1. The rule in this sequence is (+5) every next pattern

2. 22, 27, 32, 37

3. 42

4. 12 term

5. 67

b.

1. The rule in this sequence is (-3) every next pattern

2. -7, -10, -13, -16

3. -16

4. 13 term

5. -37

Step-by-step explanation:

Answer:

I'm not sure about the answer.

a.

1. The rule in this sequence is (+5) every next pattern

2. 22, 27, 32, 37

3. 42

4. 12 term

5. 67

b.

1. The rule in this sequence is (-3) every next pattern

2. -7, -10, -13, -16

3. -16

4. 13 term

5. -37

Hope this helps you ^^

Answer:

Step-by-step explanation:

Steps:

Step 1: Put the numbers in order. ...

Step 2: Find the median. ...

Step 3: Place parentheses around the numbers above and below the median. Not necessary statistically, but it makes Q1 and Q3 easier to spot. ...

Step 4: Find Q1 and Q3. ...

Step 5: Subtract Q1 from Q3 to find the interquartile range.

Answer: 13.1

Step-by-step explanation:

Answer:

Step-by-step explanation:

If you plot those coordinates in your calculator in the stat plot function under "stat", you will see that the dots are almost but not quite in a straight line going from upper left to lower right. This indicates a strong negative linear association, third choice down.

Answer:

D. Nonlinear Negative Association

Step-by-step explanation:

Answer:

4y+2x ≤ -1

(5,-3)

4x(-3)+2×(5) ≤ -1

-12+10≤ -1

-2 ≤ -1

A) 4y+2x ≤ -1

~OAmalOHopeO

Answer:

5/2

Step-by-step explanation:

The square root of 5 divided by the negative square root of 5 equals -1. 7/2 - 1 = 5/2.

Answer:

a = 3 [tex]\frac{1}{3}[/tex]

Step-by-step explanation:

Given

a + 5 [tex]\frac{2}{3}[/tex] = 9 ← change mixed number to improper fraction

a + [tex]\frac{17}{3}[/tex] = 9 ( multiply through by 3 to clear the fraction )

3a + 17 = 27 ( subtract 17 from both sides )

3a = 10 ( divide both sides by 3 )

a = [tex]\frac{10}{3}[/tex] = 3 [tex]\frac{1}{3}[/tex]

Answer:

3.398

Step-by-step explanation:

log(10) 2500 = log(10) (5^2*10^2) = log(10) 5^2 + log(10) 10^2 = 2*log(10) 5 + 2=3.398

Answer:

Step-by-step explanation:

I think you mean 35 seconds because if it was 36 then the answer would be too long so assuming it is 35 seconds the answer is 1 minute or 60 seconds