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2 years ago

Find the Volume of the following shape.

Mathematics

1 answer:

gavmur [86]2 years ago

4 0

Answer:

The trapezoidal prism's volume is $312m^{2}$

Step-by-step explanation:

Step 1: Recognize the shape is a trapezoidal prism

Constructed from:

Trapezoids

Step 2: Solve the area of the shape

Area of Trapezoid = $(\frac{a+b}{2} h) =( \frac{5+8}{2} 4.8)=(\frac{13}{2} 4.8) = 31.2m^{2}$

Step 3: Multiple the area of the Trapezoid by the width

Area of Trapezoid x 10m = Area of Trapezoidal Prism

$(31.2m^{2} )(10m^{2} )= Volume\\312m^{3} =Volume$

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Emelia measures the weight of a rock to be 30 grams. The actual weight of the rock is 24 grams. Determine Emelia's percent error

Shalnov [3]

Answer: 25%

Step-by-step explanation:

Given

Emelia measures the weight of the rock to be 30 gm

The actual weight was 24 gm

Percentage error is given by

$\Rightarrow \dfrac{\text{Deviation }}{\text{Actual value}}\times 100$

Insert the values

$\Rightarrow \dfrac{30-24}{24}\times 100\\\\\Rightarrow \dfrac{6}{24}\times 100\\\\\Rightarrow 25\%$

Therefore, the percentage error is 25%.

6 0

2 years ago

PLease help with this fast

lilavasa [31]

It is B that your looking for

5 0

2 years ago

Read 2 more answers

Stu trained for a triathlon for 5 hours yesterday. He ran 5 miles and then biked 80 miles. His biking speed is 15 mph faster tha

lara31 [8.8K]

Answer:

Step-by-step explanation:

Given as :

The distance cover while running = $D_1$ = 5 miles

Let The speed for running = $S_1$

The distance cover with bike = $D_2$ = 80 miles

The speed for biking = $S_2$ = 15 mph + $S_1$

Total Time taken = 5 hours

Now Time = $\dfrac{\textrm Distance}{\textrm Speed}$

∴ 5 hour = $\frac{D_1}{S_1}$ + $\frac{D_2}{S_2}$

Or, 5 hour = $\frac{5}{S_1}$ + $\frac{80}{15+S_1}$

Or, 5 hour = $\frac{75 + 5 S_1 + 80 S_1}{S_1(15+S_1)}$

or, 5 × ( $S_1^{2}+15 S_1$ ) = $85 S_1 + 75$

Or, $5 S_1^{2} + 75 S_1$ - $85 S_1 - 75$ = 0

or, $5 S_1^{2} -10 S_1 - 75$ = 0

or, $S_1^{2} -2 S_1 - 15$ = 0

Or, $S_1^{2} -3 S_1 + 5 S_1- 15$ = 0

Or, $S_1 (S_1 - 3) + 5 (S_1 - 3)$ = 0

Or, $(S_1 - 3) ( S_1 + 5 )$ = 0

∴ $S_1$ = 3 , - 5

So, the running speed = 3 mile per hour

And the biking speed = 15 mph + 3 mph = 18 mile per hour

Hence The running speed of Stu is 3 mile per hour . Answer

7 0

3 years ago

Geometry - Will give 5 stars + Thanks!

Fynjy0 [20]

Answer:

Step-by-step explanation:

We know:

The diagonals in a parallelogram divide by halves.

Therefore KG = UG and DG = CG.

We have

KG = 5y - 8, UG = 3y, DG = 4x - 7, CG = x + 2

Substitute:

5y - 8 = 3y add 8 to both sides

5y = 3y + 8 subtract 3y from both sides

2y = 8 divide both sides by 2

y = 4

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

4x - 7 = x + 2 add 7 to both sides

4x = x + 9 subtract x from both sides

3x = 9 divide both sides by 3

x = 3

5 0

3 years ago

3/4=j-1/2 solve the equation check your solution

DIA [1.3K]

3/4= j-1/2
first to add 1/2 to both sides to solve for j
3/4 + 1/2= j
second you find a common denominator in order to add 3/4 and 1/2, the common denominator would be 4, you would have to change 3/4 at all because the denominator is already 4 but in order to make the denominator of 1/2, 4 you would have to multiply both the denominator and numerator by 2 so
3/4 + 2/4 = 5/4
so 5/4 =j

to check your answer you plug 5/4 in for j
3/4 = 5/4 -1/2
again you need to find a common denominator between 5/4 and 1/2 which again would be 4, and again you wouldn't change 5/4 but you would multiply both the numerator and the denominator of 1/2 so
3/4= 5/4-2/4
5-2= 3 and you would keep the 4 so
5/4 - 2/4 = 3/4

so j = 5/4

5 0

2 years ago