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1 year ago

Giving brainlist for correct answer. :))

Mathematics

1 answer:

Katena32 [7]1 year ago

8 0

Answer:

162 cubes

Step-by-step explanation:

The formula for finding the volume of a rectangular prism is length x width x height.

6 x 3 x 4.5 = 81

Since each cube is only half a centimeter, we need to multiply this by two.

81 x 2 = 162 cubes

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6 numbers form an arithmetic sequence with a common difference of 4. THe sum of these numbers equals 12. What are the 6 numbers.

frutty [35]

Answer: See explanation

Step-by-step explanation:

We will use the formula for an arithmetic sequence which will be:

a + (n - 1)d

where a = unknown

n = 6

d = 4

We then slot them into the formula

a + (6 - 1)4 = 12

a + 5(4) = 12

a + 20 = 12

a = 12 - 20

a = -8

The 6 numbers are

1st term = -8

2nd term = -8 + 4 = -4

3rd term = -4 + 4 = 0

4th term = 0 + 4 = 4

5th term = 4 + 4 = 8

6th term = 8 + 4 = 12

5 0

3 years ago

130 apples at the party. There were 3 times as many yellow apples as green apples, there were twice as many red apples as yellow

kipiarov [429]

Answer: There were 78 red apples at the party.

Step-by-step explanation:

This situation can be represented by the equation

x + 3x + 2(3x) = 130 where x is the number of green apples, 3x is the number of yellow apples and 2(3x) is the number of red apples.

Now solve for x

x +3x +2(3x) =130

4x + 6x = 130

10x = 130

x = 13

Now we know that x is 13 so put it into the expression for red apples and solve for the actual number of red apples.

2 * (3*13) = ?

2 * 39 = 78

6 0

3 years ago

Which linear function shows a direct variation?

alexandr402 [8]

Answer:

I think it is C

Step-by-step explanation:

6 0

2 years ago

Find the value of a in the parallelogram.

S_A_V [24]

6a-4 = 3a+54
3a = 58
a = 58/3
a= 19.333

3 0

2 years ago

In the figure below , ABCD is a square . Points are chosen on each pair of adjacent sides of ABCD to form 4 congruent right tria

Lostsunrise [7]

Answer:

5/9 of the area of square ABCD is shaded

Step-by-step explanation:

see the attached figure to better understand the problem

we know that

To find out what fraction of the area of square ABCD is shaded, divide the shaded area by the total area of square ABCD

step 1

Find out the area of square ABCD

The area of a square is

$A=b^{2}$

where

b is the length side of the square

we have

$b=(x+2x)=3x\ units$

$A=(3x)^{2}$

$A=9x^2\ units^{2}$

step 2

Find out the area of the 4 congruent right triangles

$A=4[\frac{1}{2}(x)(2x)]=4x^{2}\ units^2$

step 3

Find out the area of the shaded region

The area of the shaded region is equal to the area of square ABCD minus the area of the 4 congruent right triangles

$A=9x^2-4x^{2}=5x^{2}\ units^{2}$

step 4

Divide the shaded area by the total area of square ABCD

$\frac{5x^{2}}{9x^{2}} =\frac{5}{9}$

therefore

5/9 of the area of square ABCD is shaded

7 0

2 years ago