Express each of the following in km/h.
(a) 8.4 km/min (b) 315 m/s
(c) 242 m/min (d) 125 cm/s
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Answer:

y=c (468) =e _24 the answer

Answer:

[tex]\boxed{\textsf{\pink{ Hence the TSA of the cuboid is $\sf 32x^2$}}}.[/tex]

Step-by-step explanation:

A 3D figure is given to us and we need to find the Total Surface area of the 3D figure . So ,

From the cuboid we can see that there are 5 squares in one row on the front face . And there are two rows. So the number of squares on the front face will be 5*2 = 10 .

We know the area of square as ,

[tex]\qquad\boxed{\sf Area_{(square)}= side^2}[/tex]

Hence the area of 10 squares will be 10x² , where x is the side length of each square. Similarly there are 10 squares at the back . Hence their area will be 10x² .

Also there are in total 12 squares sideways 6 on each sides . So their surface area will be 12x² . Hence the total surface area in terms of side of square will be ,

[tex]\sf\implies TSA_{(cuboid)}= 10x^2+10x^2+12x^2\\\\\sf\implies\boxed{\sf TSA_{(cuboid)}= 32x^2}[/tex]

Now let's find out the TSA in terms of side . So here the lenght of the cuboid is equal to the sum of one of the sides of 5 squares .

[tex]\sf\implies 5x = l \\\\\sf\implies x = \dfrac{l}{5} \\\\\qquad\qquad\underline\red{ \sf Similarly \ breadth }\\\\\sf\implies b = 3x \\\\\sf\implies x = \dfrac{ b}{3}[/tex]

[tex]\rule{200}2[/tex]

Hence the TSA of cuboid in terms of lenght and breadth is :-

[tex]\sf\implies TSA_{(cuboid)}= 10x^2+10x^2+12x^2\\\\\sf\implies TSA_{(cuboid)}= 20\bigg(\dfrac{l}{5}\bigg)^2+12\bigg(\dfrac{b}{3}\bigg) \\\\\sf\implies TSA_{(cuboid)}= 20\times\dfrac{l^2}{25}+12\times \dfrac{b^2}{9}\\\\\sf\implies \boxed{\red{\sf TSA_{(cuboid)}= \dfrac{4}{5}l^2 +\dfrac{4}{3}b^2 }}[/tex]

Answer: Becuase of the communitive property

Step-by-step explanation:

For example say you have 5 + 6

5 + 6 = 11

6 + 5 =11

no matter how you flip it, it's always the same

Answer:

I think the answer is A

maybe it's right

Answer:

The Mean of the set of the numbers x⁻ = 22.5

Step-by-step explanation:

Given a set of the numbers

25,20,23,22

Mean of the given data

                        ∑x/n

Mean of the given data

                   [tex]\frac{25+20+23+22}{4} = \frac{90}{4} = 22.5[/tex]

The Mean of the set of the numbers x⁻ = 22.5

Answer:

$15.12

Step-by-step explanation:

You need to just search u p 18% of 84 or 84% of 18

Answer:

x is greater or equal to 5.5

Step-by-step explanation:

The length of the playground is 13 yards.

A = l × w

where 'l' represents the length of the rectangle

'w' represents the width of the rectangle

For given example,

area of rectangular courtyard = 104 square yard

Let the length of the playground be l cm and the width be w cm.

Then, l = 2w - 3

The area of a rectangle is,

[tex]A=l\times w\\\\104=(2w-3)\times w\\\\104=2w^2-3w\\\\2w^2-3w-104=0\\\\w=\frac{-b\pm \sqrt{b^2 -4ac} }{2a} \\\\w=\frac{3\pm\sqrt{9-4(2)(-104)} }{4} \\\\w=\frac{3\pm\sqrt{841} }{4} \\\\w=\frac{3\pm29}{4}\\\\w=\frac{3+29}{4} \text{ or } w=\frac{3-29}{4}\\\\w=\frac{32}{4}\\\\w=8\\\\[/tex]

So, the width of the playground is 8 cm.

Now, we find the length of the rectangular playground.

[tex]l=2w-3\\\\l=2(8)-3\\\\l=16-3\\\\l=13~yards[/tex]

Therefore, the length of the playground is 13 yards.

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Answer:

v = -12

Step-by-step explanation:

29 = -8v - 7 + 5v

Combine the 'like terms':  

29 = (-8v + 5v) - 7

29 = -3v -7

Add 7 to both sides:

29 + 7 = -3v -7 +7

36     =    -3v + 0

36      =    -3v

Divide both sides by the coefficient in front of the variable 'v' because we want to get 'v' all by itself. So, divide by -3.

36/-3 = -3v/-3

   -12  =  v

And that is the answer, v is negative twelve

Answer:

v=

Step-by-step explanation:

29= -8v- 7 + 5v

-8v + 5v - 7 = 29

-3v - 7 = 29

-3v - 7 + 7 = 29 + 7

-3v = 36

-3v ÷ -3 = 36 ÷ -3

v = -12

Answer:

Step-by-step explanation:

As similar triangle hence their correspondiing sides will be proportional,

let the side we want to know is x,

18/x = 11.2/40

x = 18*40/11.2

x= 64.3

Answer:

400 miles

Step-by-step explanation:

150 miles/3 hours=50 miles per hour

50 miles per hour x 8 hours=400 miles

Answer:

B

Step-by-step explanation: 100%

Answer: b

Step-by-step explanation:

By the alternate interior angles theorem, the angle of elevation and the angle of depression have the same measure.

The measure of angle A is 32 degrees or the measure of the angle of elevation is 32 degrees option (b) 32 degrees is correct.

Trigonometry is a branch of mathematics that deals with the relationship between sides and angles of a right-angle triangle.

It is given that:

The right-angle triangle is shown in the picture.

The right-angle triangle is a triangle in which one of the angles is 90 degrees and the other two are sharp angles. The sides of a right-angled triangle are known as the hypotenuse, perpendicular, and base.

The trigonometric ratio is defined as the ratio of the pair of a right-angled triangle.

As the two lines are parallel to each other and a transversal is intersect the parallel lines so the angle would be same as 32 degrees

The angle A = 32 degrees

Thus, the measure of the angle A is 32 degrees or the measure of the angle of elevation is 32 degrees option (b) 32 degrees is correct.

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Answer:

I am on my phone and this is kinda confusing and I don't know if your asking 10x^5 or 10^5 but the answer would be

100,000 if it is 10 to the 5th power

If it is 10x to the 5th power then it's 100,000x

Step-by-step explanation:

I hope that helps :) explanation and answer is up!

Answer:

100000x

Step-by-step explanation:

When you do anything to a positve power, the decimal point goes to the right, if its negative to the left

Answer:

0.9842 = 98.42% probability that the carbon fiber composite material can withstand pressure less than 2.15 standard deviations above the mean when compared to the individual materials

Step-by-step explanation:

When the distribution is normal, we use the z-score formula.

In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the zscore of a measure X is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

What is the probability that the carbon fiber composite material can withstand pressure less than 2.15 standard deviations above the mean when compared to the individual materials

This is the pvalue of Z = 2.15.

Z = 2.15 has a pvalue of 0.9842

0.9842 = 98.42% probability that the carbon fiber composite material can withstand pressure less than 2.15 standard deviations above the mean when compared to the individual materials

Step-by-step explanation:

just subtract everything

Answer:

M: (-12,-19) N:(20,5)

Step-by-step explanation:

M: Find the distance of the opposite side to angle N to figure out the distance of the same side of the side with angle M.

20-(-3)= 23

Use the distance to find the coordinates.

-4+23= 19

N: Find the distance of the opposite side to angle M to figure out the distance of the same side of the side with angle N.

-12-(-3)=-9

Use the distance to find the coordinates.

-4+9= 5

Answer:

N=(20,5)

M=(-12,19)

Step-by-step explanation:

Rectangular Coordinates

The diagram shows two identical and rotated triangles (assumed as right triangles).

We can visually identify there is a hypotenuse, a shorter leg, and a longer leg on each triangle.

The longer leg on the triangle at the left is the one that passes through (-12,-4) and M and should have the same length as the leg on the triangle at the right that passes through (-3,-4) and (20,-4). Subtracting the x-coordinates of these points we have its length = 20 - (-3) = 23.

The coordinates of M are (-12,y), where y = -4+23 = 19.

M=(-12,19)

The shorter leg has a length calculated as the difference in the x-coordinates of (-12,-4) and (-3,-4). L= -3+12 = 9.

The coordinates of N are (20,-4+9) = (20,5)

N=(20,5)

Answer:

-4/5 = x

Step-by-step explanation:

Answer:

3/2

Step-by-step explanation:

x = 3x + 4 - 1

we can subtract 1 from 4

x = 3x + 3

subtract 3x from both sides

-2x = 3

divide both sides by -2

x = -3/2

so -x would equal -(-3/2) = 3/2

Answer:

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Answer:

x = 9

Step-by-step explanation:

BCD - GCD = BCG

BCG = 100

18x - 2 - (7x - 3) = 100

18x - 2 - 7x + 3 = 100

11x + 1 = 100

11x = 99

x = 9

Hi there!

x=8

1.Subtract the answer with the 3 / subtract the terms:

[tex]2995-3=2992[/tex]

2.Divide the two terms:

[tex]2992*374=x[/tex]

Therefore, x=8

Answer:

the awnser is that Bently is 6 And Ashton is 4

Step-by-step explanation:

the reason I get this awnser is because it says that bently is 2 years older than Ashton and 3 times so you think what can be times 3 so the first awnser i got was 6 because 6 times 3 equals 18 so then I subtracted 2 from that to create the number of 6 for Bentley and 4 for Ashton

Answer:

3rd one down is the answer

Answer:

No se perdon nesesito puntos

Answer:

it 10 because if x =9 then y=10

Answer:

Step-by-step explanation: have a good one

Answer:

15

Step-by-step explanation:

Answer:

I feel like there is more to that question can you put the whole question