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2 years ago

Each cube in this solid figure is a unit cube.

Mathematics

2 answers:

kaheart [24]2 years ago

3 0

picture unclear because it is to find the sum of consecutive numbers 1 to 100, you multiply the number of sets (50) by the sum of each set (101): 101(50)=5050.{\displaystyle 101(50)=5050.} So, the sum of consecutive number 1 through 100 is 5,050 .

bekas [8.4K]2 years ago

3 0

Answer:

Step-by-step explanation:

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Fudgin [204]

Your answer:1/5 Hope this helps!

3 0

2 years ago

What is the area of a circle with a diameter of 24 meters (use 3.14 for Pi)?

Zarrin [17]

The area of a circle is represented by the equation:

$A=\pi r^{2}$

We know that the diameter is two times the radius: $d=2r$

So if we know that the diameter of the circle is 24m, we can divide this by two in order to get the radius:

$24m=2r$ --> $r=12m$

So then we can plug this radius in to the equation for the area of a circle:

$A=\pi (12)^{2}$

$A=144\pi$

We are told to use 3.14 as pi, and not pi itself, so let's plug in 3.14 for pi:

$A=3.14(144)$

$A=452.16m^{2}$

Now we know that the area of this circle is 452.16 square meters.

5 0

2 years ago

If and , find . A. B. C. D.

trapecia [35]

Answer: option D. 2x^2 + (3/2)x - 5

Explanation:

1) polynomials given:

f(x) = x/2 - 2 and g(x) = 2x^2 + x - 3

2) question: find (f + g) (x)

That means that f(x) + g(x), so you have to add up the two polynomials given.

3) x/2 - 2 + 2x^2 + x - 3

4) Combine like terms:

a) terms with x^2: you only have 2x^2, so it is not combined with other term.

b) terms with x: x/2 + x

that is a sum of fractions: x/2 + x = [x + 2x] / 2 = 3x / 2 = (3/2)x

c) constant terms: - 2 + (-3) = - 2 - 3 = - 5

5) Result: 2x^2 + (3/2)x - 5

That is the option d.

4 0

2 years ago

A boat rental shop rents paddle boats for a fee plus an additional cost per hour. The cost of renting different numbers of hours

mylen [45]

The independent variable is that whose values do not take into account the values of other variables. That is the time in hours for this item. Then, for the dependent variable, the answer would be the cost of renting. The value of the dependent variable is based on the changes done in the values of the independent variable.

4 0

2 years ago

Given: △ABC; AB=BC, m∠BDA = 60°, BD=4 cm, BD ⊥ BA . Find: DC, AC.

vekshin1

Answer:

DC = 10.93 cm , AC = 9.8 cm

Step-by-step explanation:

From trigonometry;

⇒ Tan 60 = AB/BD

⇒AB = BD Tan 60 ( where BD = 4 cm )

⇒ AB = 6.93 cm

Also, AB=BC , therefore;