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2 years ago

Urgent please help..

Mathematics

1 answer:

vampirchik [111]2 years ago

7 0

Since the smaller one is 1/2 the size (as shown in the measurement on the bottom) I would divide the other area by 2 as well, so the answer is 12 I believe

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The profile of a dam is modeled by the equation y = 24 (StartFraction x Over 10 EndFraction) squared, where x represents horizon

Brut [27]

Answer:

Step-by-step explanation:

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2 years ago

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0.1x + 9 ≤ 45 what is x?

soldi70 [24.7K]

Hi Robles928518,

0,1x + 9 ≤ 45
0,1x ≤ 45 - 9
0,1x ≤ 36
x ≤ 360

x ∈ ] - ∞ ; 360 ]

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2 years ago

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I WILL MAKE YOU BRAINIST

nekit [7.7K]

Answer:

234

Step-by-step explanation:

We want to find the summation from n = 2 to n = 10 of the equation -4 + 5n.

We can use the summation formula:

$S=\frac{(a_1+a_n)*n}{2}$ , where a1 is the first term, $a_n$ is the last term, and n is the number of terms

Here, we can say the first term occurs when n = 2:

-4 + 5n

-4 + 5 * 2 = -4 + 10 = 6

The last term will be when n = 10:

-4 + 5n

-4 + 5 * 10 = -4 + 50 = 46

The number of terms is just 10 - 2 + 1 = 9 terms.

Substitute these in:

$S=\frac{(a_1+a_n)*n}{2}$

$S=\frac{(6+46)*9}{2}=\frac{468}{2} =234$

Thus, the answer is 234.

8 0

2 years ago

Suppose that S is the set of successful students in a classroom, and that F stands for the set of freshmen students in that clas

lora16 [44]

Answer:

b) 24

Step-by-step explanation:

We solve building the Venn's diagram of these sets.

We have that n(S) is the number of succesful students in a classroom.

n(F) is the number of freshmen student in that classroom.

We have that:

$n(S) = n(s) + n(S \cap F)$

In which n(s) are those who are succeful but not freshmen and $n(S \cap F)$ are those who are succesful and freshmen.

By the same logic, we also have that:

$n(F) = n(f) + n(S \cap F)$

The union is:

$n(S \cup F) = n(s) + n(f) + n(S \cap F)$

In which

$n(S \cup F) = 58$

$n(s) = n(S) - n(S \cap F) = 54 - n(S \cap F)$

$n(f) = n(F) - n(S \cap F) = 28 - n(S \cap F)$

$n(S \cup F) = n(s) + n(f) + n(S \cap F)$

$58 = 54 - n(S \cap F) + 28 - n(S \cap F) + n(S \cap F)$

$n(S \cap F) = 24$

So the correct answer is:

b) 24

3 0

3 years ago

Which of the following is an extraneous solution of (45-3x)^1/2=x-9?

Iteru [2.4K]

Answer:

C. x =3

Step-by-step explanation:

Extraneous solution is that root of a transformed equation that doesn't satisfy the equation in it's original form because it was excluded from the domain of the original equation.

Let's solve the equation first

$\sqrt{45-3x} = x-9\\Taking\ square\ on\ both\ sides\\{(\sqrt{45-3x})}^2 = {(x-9)}^2\\45-3x = x^2-18x+81\\0 = x^2-18x+81-45+3x\\x^2-15x+36 = 0\\x^2-12x-3x+36 = 0\\x(x-12)-3(x-12) = 0\\(x-3)(x-12)\\x-3 = 0\\=> x =3\\x-12 = 0\\x = 12\\We\ will\ check\ the\ solutions\ one\ by\ one\\So,\\for\ x=3\\\sqrt{45-3(3)} = 3-9\\\sqrt{45-9} = -6\\\sqrt{36}= -6\\6\neq -6\\For x=12\\\sqrt{45-3(12)} = 12-9\\\sqrt{45-36} = 6\\\sqrt{36}= 6\\6=6$

Hence, we can conclude that x=3 is an extraneous solution of the equation ..

3 0

3 years ago