Mathematics, 20.03.2021 20:50 Anshuman2002

The diagram shows a solid prism, The cross section of the prism is a
trapezium ,
The lengths of the parallel sides of the trapezium are 11cm and 7 cm
The perpendicular distance between the parallel sides of the trapezium is 10 cm
The length of the prism is 12cm
Work out the volume of the prism please help

The diagram shows a solid prism,

The cross section of the prism is atrapezium ,The lengths of the

Answers: 3

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Answer from: Quest

10.416 meters per second

step-by-step explanation:

distance=1 00 meters

time= 9.6 seconds in decimal form or 9 3/5 as a mixed number

average speed= 100/9.6

=10.416 meters per second or 10 52/125 as a mixed number.

Answer from: Quest

45.36 feet per second.

step-by-step explanation:

to find the most accurate determination for the number of feet per second tyrone traveled on his way to work let us convert miles to feet and minutes to seconds.

1 mile = 5280 feet.

$30\text{ miles}=(30\times 5280)\text{ feet}$

$30\text{ miles}=158400\text{ feet}$

1 minute = 60 seconds.

$58.2\text{ minutes}=58.2\times 60\text{ seconds}$

$58.2\text{ minutes}=3492{ seconds}$

now we will divide 158400 by 3492 to find the most accurate determination for the number of feet per second tyrone traveled on his way to work.

$\text{tyrone traveled on his way to work}=\frac{158400}{3492}\cdot\frac{\text{feet}}{\text{second}}$

$\text{tyrone traveled on his way to work}=45.3608247422680412\cdot\frac{\text{feet}}{\text{second}}$

$\text{tyrone traveled on his way to work}\approx 45.36\cdot\frac{\text{feet}}{\text{second}}$

therefore, tyrone traveled on his way to work at the rate of 45.36 feet per second.

Answer from: Quest

a) 40 more; b) old factory: 10%, new factory: 16%; c) week 4

explanation:

a) at week 0, we see in the graph that the new factory produces 190 specialty items.

using the function, substituting 0 in for w,

$p(w)=230(1.1)^w\\\\p(0)=230(1.1)^0\\\\p(0)=230(1)=230$

this is a difference of 230-190 = 40.

b) the function for the old factory is written in the form f(x) = a(1+r)ˣ, where a is the original amount, x is the amount of time and r is the growth rate. the equation for the old factory is $p(w)=230(1.1)^w$ ; 230 is in place of a and is the original amount; w is the amount of time; which means 1+r = 1.1. this means that r must be 0.1 or 10%.

for the new factory, we find the percent of increase to find the growth rate; the formula for this is

$\text{percent of change}=\frac{\text{amount of change}}{\text{original amount}}$

between the first two points, the amount of change is 220-190 = 30; this gives us

30/190 = 0.158 ≈ 0.16 = 16%

c) at week 0, the old factory has 230 while the new factory has 190.

at week 1, the old factory has 230(1.1) = 253 while the new factory has 220.

at week 2, the old factory has 230(1.1²) = 278.3 while the new factory has 252.

at week 3, the old factory has 230(1.1³) = 306.13 while the new factory has 290.

at week 4, the old factory has 230(1.1⁴) = 336.743 while the new factory has 337. this is the first week that the new factory surpasses the old.

Answer from: Quest

c) blue

lol

why do you ask > .>

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