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3 years ago

The diagram shows a partly filled oil tank

Mathematics

1 answer:

inna [77]3 years ago

6 0

Answer:

12,000 Litres

Step-by-step explanation:

The tank is rectangular with given dimensions.

The quantity of oil is the volume of oil given by:

Volume of Oil = length * width * height of oil (depth)

Hence,

Volume of oil = 5 * 2 * 1.2 = 12 cubic meters

Since 1 cubic meters = 1000 liters, we have:

12 (1000 Liters) = 12,000 Liters

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If the ratio of the radii of two spheres is 2:3, the ratio of their surface areas will be 8:27.

Slav-nsk [51]

The ratio of 2 similar areas is the square of the ratio of their RADIUS or (sides)
R²=(2/3)² = 4/9 This should be the answer

Whereas R³ = (2/3)³ = 8/27 is the ratio of their volume & not area

4 0

3 years ago

Two pages that face each other in a book have 421 as the sum of their page numbers. What is the number of the page that comes fi

nordsb [41]

Answer:the pages will come on the first is 210

Explanation:

Since we have given that two pages that face each other in a book

i.e. they must be consecutive to each other

so, let the first page number be x

and the second page number be x+1

According to question,

$x+x+1=421\\2x+1=421$

2x=421 -1

2x=420

$x=\frac{420}{2}\\=210$

So, the pages will come on the first is 210

4 0

3 years ago

What is the equation of the line that passes through the point (-6,7) and has a slope of -5? Write the equation in slope interce

V125BC [204]

Answer:

y = -5x - 23

Step-by-step explanation:

Write it in point - slope form:

y - 7 = -5(x + 6)

rearrange:

y - 7 = -5x - 30

y = -5x - 23

8 0

3 years ago

PLZZZZ HELPPPPPPP!!!!

Vladimir79 [104]

Answer: The height of the building is 50.75 feet.

Step-by-step explanation:

The ratio between the height of the object and the casted shadow must be equal for all the objects, as the angle at which the source if light impacts them is the same.

For the person, we know that it is 5.8ft tall, and the shadow is 3.2ft long.

The ratio will be: 5.8ft/3.2ft = 1.8125

Now, if H is the height of the building, and the shadow that the building casts is 28ft, we must have:

H/28ft = 1.8125

Now we can solve this for H.

H = 1.8125*28ft = 50.75 ft

Then the height of the building is 50.75 feet.

3 0

3 years ago

3 lines are shown. A line with points C, A, F intersects a line with points E, A, B at point A. A line extends from point A to p

Verizon [17]

Answer:

m < EAD = 29 degrees

m < CAB = 119 degrees

Given :

The question states that m < CAE = m<FAB = 61 degrees and m<DAF = 90 degrees

Solution:

1. Since line CAF and EAB intersect each other, m<CAF = m< EAF - (opposite vertical angles are equivalent)

2. m<BAC + m<EAC = 180 degrees (sum of linear pair)

3. m<CAB = 180 degrees - m<EAC

4. Equation 1: m<CAB = m<EAF = 119 degrees

5. m<EAF = m<EAD + m< DAF

6. m<EAD = m<EAF - m<DAF

7. m<EAD = 119 degrees-90 degrees = 29 degrees

Hope this helps!!! :)

Attached photo work is created by another brainly user named tallinn.

Click on this link to find his work and possibly more information of the answer. Thanks!

5 0

3 years ago