A second-hand car costs $2400. The price falls by 25% when it is sold again. How much is it sold for?

Given:

The dimensions of base are 5 cm and 5cm.

The height of the pyramid is 3 cm.

To find:

The volume of the pyramid.

Solution:

The volume of a pyramid is:

[tex]V=\dfrac{1}{3}Bh[/tex]                ...(i)

Where, B is the base area and h is the height of the pyramid.

The base area of the given pyramid is:

[tex]B=length \times width[/tex]

[tex]B=5 \times 5[/tex]

[tex]B=25[/tex]

Substituting [tex]B=25[/tex] and [tex]h=3[/tex] in (i), we get

[tex]V=\dfrac{1}{3}(25)(3)[/tex]

[tex]V=25[/tex]

Therefore, the volume of the given pyramid is 25 cm³. Hence, the correct option is A.

Answer:

0

Step-by-step explanation:

because the carrot is wrong

Answer:

Assuming you are using the zero product property, x = 2, √(3), -√(3)

Step-by-step explanation:

first I factored the (2x^2-7+1) into 2(x^2 - 3)

I also factored the (3x-6) into 3(x - 2)

Now I have the equation 6(x - 2)(x^2 - 3) = 0

I'll start with the easiest one, which is x - 2 = 0, which gives me 2

Now I solve for x^2 - 3 = 0, and I end up with two answers:

√(3) and -√(3)

So in total, x as 3 answers

Answer:

[tex]482.5\:\mathrm{in^2}[/tex]

Step-by-step explanation:

The area of the figure consists of a rectangle with a triangle removed from the corner of it. Therefore, the area of the composite of the figure can be found by subtracting the area of the triangle from the area of the rectangle.

Area of the rectangle: [tex]25\cdot 20=500\:\mathrm{in^2}[/tex]

Area of the triangle: [tex]\frac{1}{2}\cdot 5\cdot 7=17.5\:\mathrm{in^2}[/tex]

Thus, the area of the figure is [tex]500-17.5=\boxed{482.5\:\mathrm{in^2}}[/tex]

Answer:

The width, in inches of the larger cell phone is 6.14 inches.

Step-by-step explanation:

To solve we must set up a ratio.

[tex]\frac{8.4}{5.6} = \frac{9.21}{y}[/tex]

After setting this ratio up, we can cross multiply to solve for y.

8.4(y) = 5.6(9.21)

8.4(y) = 51. 576

To get y alone we divide by 8.4 on both sides.

y = 6.14

The width, in inches of the larger cell phone is 6.14 inches.

Answer:

18

Step-by-step explanation:

Calculation to determine how many coloured paper are there

Let 3x represent the number of coloured papers

Let 8x represent the number of white papers

Given that 8x=48

Hence,

x=48/8

x=6

Now let determine how many coloured paper are there

Coloured paper=3x

Coloured paper=3(6)

Coloured paper=18

Thereffore the number of coloured paper that are there is 18

Answer:

[tex](8x^3)^ \frac{2}{3} \sqrt{75x^3} + 2^3 \sqrt{ 3x^7} =28x^3\sqrt{3x}[/tex]

Step-by-step explanation:

The question is poorly formatted. The original question is:

[tex](8x^3)^ \frac{2}{3} \sqrt{75x^3} + 2^3 \sqrt{ 3x^7[/tex]

We have:

[tex](8x^3)^ \frac{2}{3} \sqrt{75x^3} + 2^3 \sqrt{ 3x^7[/tex]

Open bracket

[tex](8x^3)^ \frac{2}{3} \sqrt{75x^3} + 2^3 \sqrt{ 3x^7} =(8^ \frac{2}{3} *x^{3* \frac{2}{3}}) \sqrt{75x^3} + 2^3 \sqrt{ 3x^7}[/tex]

[tex](8x^3)^ \frac{2}{3} \sqrt{75x^3} + 2^3 \sqrt{ 3x^7} =(8^ \frac{2}{3} *x^2) \sqrt{75x^3} + 2^3 \sqrt{ 3x^7}[/tex]

Express 8 as 2^3

[tex](8x^3)^ \frac{2}{3} \sqrt{75x^3} + 2^3 \sqrt{ 3x^7} =(2^{3* \frac{2}{3}} *x^2) \sqrt{75x^3} + 2^3 \sqrt{ 3x^7}[/tex]

[tex](8x^3)^ \frac{2}{3} \sqrt{75x^3} + 2^3 \sqrt{ 3x^7} =(2^2 *x^2) \sqrt{75x^3} + 2^3 \sqrt{ 3x^7}[/tex]

[tex](8x^3)^ \frac{2}{3} \sqrt{75x^3} + 2^3 \sqrt{ 3x^7} =4x^2 \sqrt{75x^3} + 2^3 \sqrt{ 3x^7}[/tex]

Express 2^3 as 8

[tex](8x^3)^ \frac{2}{3} \sqrt{75x^3} + 2^3 \sqrt{ 3x^7}=4x^2 \sqrt{75x^3} + 8\sqrt{ 3x^7}[/tex]

Expand each exponent

[tex](8x^3)^ \frac{2}{3} \sqrt{75x^3} + 2^3 \sqrt{ 3x^7}=4x^2 \sqrt{25x^2 *3x} + 8\sqrt{ 3x * x^6}[/tex]

Split

[tex](8x^3)^ \frac{2}{3} \sqrt{75x^3} + 2^3 \sqrt{ 3x^7}=4x^2 \sqrt{25x^2} *\sqrt{3x} + 8\sqrt{3x} * \sqrt{x^6}[/tex]

[tex](8x^3)^ \frac{2}{3} \sqrt{75x^3} + 2^3 \sqrt{ 3x^7} =4x^2 *5x *\sqrt{3x} + 8\sqrt{3x} * x^3[/tex]

[tex](8x^3)^ \frac{2}{3} \sqrt{75x^3} + 2^3 \sqrt{ 3x^7} =20x^3\sqrt{3x} + 8x^3\sqrt{3x}[/tex]

Factorize

[tex](8x^3)^ \frac{2}{3} \sqrt{75x^3} + 2^3 \sqrt{ 3x^7} =28x^3\sqrt{3x}[/tex]

Answer:

42x^2 ^3 square root 3x

Step-by-step explanation:

i got it right

Answer:

Pearson correlation coefficient

Explanation:

The Pearson correlation coefficient, also simply called correlation coefficient measures the linear correlation between two sets of data/variables, independent variables and dependent variable. A correlation coefficient may only be between -1 and 1 where +1 denotes a perfect positive correlation between variables(both variables increase together), 0 is no correlation, and -1 is perfect negative correlation between variables(one decreases while other increases).

Answer:

184 m²

Step-by-step explanation:

Surface Area = 2(10*2) + 2(10*6) + 2(2*6)

Surface Area = 2(20 + 60 + 12)

Surface Area = 2(92)

Surface Area = 184 m²

If my answer is incorrect, pls correct me!

If you like my answer and explanation, mark me as brainliest!

-Chetan K

Answer:

36

Step-by-step explanation:

6 x 6

Answer:

Third side = 4

Step-by-step explanation:

Use Pythagoras theorem :

C = longer side, a = 10, b ?

[tex]c^2 = a^2 + b^2[/tex]

[tex](2 \sqrt{29})^2 = 10^2 + b^2\\\\4 \times 29 = 100 + b^2\\\\116 - 100 = b^2\\\\b^2 = 16 \\\\b = 4[/tex]

Answer:

1200cm

Step-by-step explanation:

Given data

We know that 1meter is equivalent to 100cm

i,.e 1*100

so, if height is 1.2meters

Height in centimeters is 1.2*100

Hence height in centimeters is 1200cm

Answer:

it will take him 9 weeks to earn the rest of what he needs.

Step-by-step explanation:

if he already has $105, then he will need $270 more.

Divide 270 by 30(the amount of money he gets each week) and you will get 9.

Answer:

The answer would be the third one, 3(x -2)=18

Answer:

gradient of horizontal slope is 0

Answer:

cot (x)

Step-by-step explanation:

cot x

---------------

cos x  sec x

We know that sec = 1/ cos

cot x

---------------

cos x  1/ cos x

cot x

---------------

1

cot (x)

Answer:

You're clicking on the correct answer, it's cot with that symbol, I dont have the symbol.

Answer:

C. 4 is the right answer!

Step-by-step explanation:

Answer:

5

Step-by-step explanation:

so we can say that 5 standard deviations include all the data values.

Answer: 625 miles

Step-by-step explanation:

100-40=60

so she has 60% for her distance so lets munis 40 from it and add 250 to 250

250+250=500

60-40=20

20 is half of 40 so whats half of 250? its 125

so she drove 625 miles for her road trip 2 and 1/2 a day

Answer:

my answer is in this picture. sorry about my handwriting and my presentation because i am a Asian student and cant show better presentation

answer below.

mark me brainlist

Answer:

Step-by-step explanation: Let the total no of cars in the collection be X

Number of black cars = (1/4)X

Number of red cars = (5/8)X

Number of white cars= 7

Summation of all the cars,

(1/4)X + (5/8)X + 7 = X

X= 56

Therefore,

Number of black cars = (1/4) of 56 = 14

Number of red cars = (5/8) of 56 = 35

Number of white cars = 7

Answer:

14

Step-by-step explanation:

AB = 10+( 10/15 × 6)

= 10 + 4= 14

Answer:

<1

Step-by-step explanation:

Answer:

Max

Step-by-step explanation:

the function given that h = -16t³+64t+10

the general function Equation:

h = at²+bt+c

=> t at the highest point is defined by t = -b/2a

= -64/2(-16) = -64/-32 = 2 second

the total times that the ball hits the ground

= 2× 2 seconds = 4 seconds.

so, Max is right

Answer:

Solution given:

Let h=0=when the ball hit the ground,the height=0.

h= -16t^2 + 64t + 10.

0=16t²-64t-10

8t²-32t-5=0

∆=[tex] \frac{32±\sqrt{32²+4*5*8}}{2*8}=\frac{8±\sqrt{74}}{4}[/tex]

taking positive

t1=[tex] \frac{8+\sqrt{74}}{4}=4.15seconds[/tex]

t2=[tex] \frac{8-\sqrt{74}}{4}(t2<O)(neglected)[/tex]

So

t=4.15seconds closer to 4seconds.So

Max is closer.

Answer:

Ans: x=0

       y= -2

Step-by-step explanation:

-6x+y= -2--------- (1) × 6

-3x-6y= 12--------(2) × 1

-36x+6y= -12-----(3)

-3x-6y= 12--------(2)

(3)+(2)

-36x+6y+(-3x-6y) = -12+12

⇒ -36x+6y-3x-6y = 0

⇒ -36x-3x = 0

⇒ -39x=0

⇒ x= 0/-39

∴ x = 0

Substitute x = 0 into (1)

-6x+y= -2

⇒-6(0)+y= -2

⇒0+y= -2

∴y = -2

Ans: x = 0

       y = -2

Check:

-6x+y= -2--------- (1)

= -6(0)+(-2)

= 0 - 2

= -2 ✔

-3x-6y= 12--------(2)

= -3(0)-6(-2)

= 0+12

= 12 ✔

Answer:

c

Step-by-step explanation:

Answer: median

I say this as the mean would be too off due to the one outlier (it's best used when there are multiple outliers), and the range wouldn't make sense as a mid-measurement.

Answer:

Ive seen this question before, its supposed to be 3 blancckets and 15 days can be skipped

Step-by-step explanation:

60-45= 15

15 times 3 is 45