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2 years ago

Can someone help me with this

Mathematics

1 answer:

kolbaska11 [484]2 years ago

3 0

Answer:

x = 35

Step-by-step explanation:

$\frac{5}{25} = \frac{7}{x} \\ \\ \frac{1}{5} = \frac{7}{x} \\ \\ x = 5 \times 7 \\ \\ x = 35$

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Simplify the identity: tan cos/sin

xxMikexx [17]

I am going to simplify the top before simplifying the rest.

tan = sin/cos, so tan * cos simplifies down to sin in the numerator. which leaves sin/sin which equals 1.

to make a long story short the answer is 1

4 0

2 years ago

Solve for x - Pre algebra

aniked [119]

In this case you would set it up as
$6x + 4x + 130 = 180$
(180 represents the degree of the triangle)

Add up like terms
$10x + 130 = 180$
Subtract 130 to the other side (180-130)

$10x = 50$
Divide 10 to the other side ( 50/10)
.
$x = 5$
Hope this was clear :)

7 0

2 years ago

Read 2 more answers

3[x + 3(4x – 5)] = 15x – 24

Alex17521 [72]

Answer:

$\boxed{ \bold{ \huge{ \boxed{ \sf{x = 0.875}}}}}$

Step-by-step explanation:

$\sf{3[ x + 3(4x - 5)] = 15x - 24}$

Distribute 3 through the parentheses

⇒ $\sf{3[ x + 12x - 15 ] = 15x - 24}$

Collect like terms : 12x and x

⇒ $\sf{3[ 13x - 15 ] = 15x - 24}$

Distribute 3 through the parentheses

⇒ $\sf{39x - 45 = 15x - 24}$

Move 15x to left hand side and change it's sign

Similarly, move 45 to right hand side and change it's sign

⇒ $\sf{39x - 15x = - 24 + 45}$

Collect like terms

⇒ $\sf{24x = - 24 + 45}$

Calculate

⇒ $\sf{24x = 21}$

Divide both sides of the equation by 24

⇒ $\sf{ \frac{24x}{24} = \frac{21}{24}}$

Calculate

⇒ $\sf{x = 0.875}$

Hope I helped!

Best regards! :D

5 0

3 years ago

Please help me with these two math problems that I do not quite understand. This is urgent!

g100num [7]

Answer:

1) $a_{n}=a_{1}+(n-1)d\Rightarrow a_{n}=-1-2(n-1)\\a_{2}=-1-2(2-1)\Rightarrow a_{2}=-3\\a_{3}=-1-2(3-1)\Rightarrow a_{3}=-5\\(...)\\a_{10}=-1-2(10-1)=-19$

2) $a_{10}=4+8(10-1)\Rightarrow a_{10}=76$

Step-by-step explanation:

1) To write an Arithmetic Sequence, as an Explicit Term, is to write a general formula to find any term for this sequence following this pattern:

$a_{n}=a_{1}+d(n-1)\Rightarrow \left\{\begin{matrix}a_{n}=n^{th}\: term\\a_1=1st \: term \\d=\: difference\\n=n^{th}\, term\end{matrix}\right.$

<em>"Write an explicit formula for each explicit formula A(n)=-1+(n-1)(-2)"</em>

This isn't quite clear. So, assuming you meant

Write an explicit formula for each term of this sequence A(n)=-1+(n-1)(-2)

As this A(n)=-1+(n-1)(-2) is already an Explicit Formula, since it is given the first term $a_{1}=-1$ the common difference $d=-2$ let's find some terms of this Sequence through this Explicit Formula:

$a_{n}=a_{1}+(n-1)d\Rightarrow a_{n}=-1-2(n-1)\\a_{2}=-1-2(2-1)\Rightarrow a_{2}=-3\\a_{3}=-1-2(3-1)\Rightarrow a_{3}=-5\\(...)\\a_{10}=-1-2(10-1)=-19$

2) $(4,12,20,28, ..)$ In this Arithmetic Sequence the common difference is 8, the first term value is 4.

Then, just plug in the first term and the common difference into the explicit formula:

$a_{10}=4+8(10-1)\Rightarrow a_{10}=76$

6 0

2 years ago

Lucy graphed the equations x + 9 y = 5 and 4 x + 15 y = negative 1 and saw that they intersected at the point (–4, 1) as shown.

aleksandrvk [35]

Answer: A

Step-by-step explanation:

You can solve a system of equations by graphing, elimination, substitution, or using a combination. The graph of a linear equation is a line. The point(s) where one line intersects another is the solution to the system. Therefore, since Lucy found that the lines intersected at the point (-4, 1), it is the solution to the system of linear equations

7 0

2 years ago