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3 years ago

100 POINTS 100 POINTS!

Mathematics

2 answers:

Elis [28]3 years ago

7 0

Answer:

Step-by-step explanation:

As each step has the same depth and rise, they are respectively 1.2/4=0.3m and 1.8/4=0.45m.

Dividing the steps along the dotted lines, the total rise of the 4 concrete steps = (1+2+3+4)*0.45

= 4.5m

Total concrete volume = total rise * depth * width

= 4.5*0.3*1.8

= 2.43m^3

Leni [432]3 years ago

7 0

Answer:

Step-by-step explanation:

a much easier way - imagine there is another concrete stair exactly the same size and shape. flip it over n put it on top of this stair.

the pair will form a concrete block of 1.2m length, 1.8m width and (1.8+1.8/4)m height.

volume of the pair = 1.2*1.8*(1.8+1.8/4)

= 4.86m^3

so volume of concrete for 1 stair = 4.86/2 = 2.43m^3

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H deposited $ 7,500 into a bank account. At the end of 3 years, the account had earned $900 in simple intrest. What rate of intr

sertanlavr [38]

B, 4% .

Find this by using the Interest Formula:

I = P X R X T
I = 7500 X .OO4 X 3
I = 900

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3 years ago

Q2) If z is directly proportional to x and z = 12 when x = 3, find the value of x when z = 18.

LenKa [72]

Answer:

4.5

Step-by-step explanation:

→ Set up the direct proportion equation

z = kx

→ Substitute in the values

12 = 3k

→ Divide both sides by 3 to isolate k

4 = k

→ Substitute the value of k back into the original direct proportion equation

z = 4x

→ Substitute the value of z in

18 = 4x

→ Divide both sides by 4 to isolate x

4.5 = x

4 0

3 years ago

Read 2 more answers

Con 5,2l tenemos para 100km, con 60l para cuantos km tenemos?

liraira [26]

Answer:

Step-by-step explanation:

7 0

2 years ago

Christian randomly selects students from his grade to rate a math test as easy, moderate, or difficult. Of the students he surve

Paraphin [41]

Answer:

Step-by-step explanation:

This question is solved using proportions.

From the sample:

11 + 3 = 14 out of 13 + 11 + 3 = 27 would rate the test something other than easy.

Out of 162:

Applying the rule of three:

14 - 27

x - 162

Applying cross multiplication:

$27x = 14*162$

$x = \frac{14*162}{27}$

$x = 84$

Thus the correct answer is given by option C.

8 0

2 years ago

In ΔOPQ, PQ = 17, QO = 9, and OP = 15. Which statement about the angles of ΔOPQ must be true?

77julia77 [94]

Answer:

All angles are different.

Internal angles can be acute, obtuse, or right angle.

The smallest side is opposite to the smallest angle and the longer side is opposite to the larger angle.

Step-by-step explanation:

Given - In ΔOPQ, PQ = 17, QO = 9, and OP = 15.

To find - Which statement about the angles of ΔOPQ must be true?

Proof -

As given,

In ΔOPQ, PQ = 17, QO = 9, and OP = 15.

As all the sides of the given triangle is different, So the given triangle is a Scalene triangle.

Now,

We know that , In Scalene triangle -

All sides are different.

All angles are different.

Internal angles can be acute, obtuse, or right angle.

The smallest side is opposite to the smallest angle and the longer side is opposite to the larger angle.

6 0

3 years ago