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3 years ago

Please answer this question! 30 points and brainliest!

Mathematics

2 answers:

tangare [24]3 years ago

4 0

Answer:

3.5 cm

Step-by-step explanation:

2.5 is half of 5 so you divide 7 by 2 and you get 3.5

Vinvika [58]3 years ago

3 0

Answer:

the length would be 3.5 cm

Step-by-step explanation:

I looked at the width of the reduced space. I looked at the regular photo and divided by 2 in order to get the length.

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Can i pls get some help here with how to even solve it using clear steps?

kirill [66]

first off, let's split the triplet into two equations, then from there on we'll do substitution.

$\cfrac{y}{x-z}=\cfrac{x}{y}=\cfrac{x+y}{z}\implies \begin{cases} \cfrac{y}{x-z}=\cfrac{x}{y}\\[2em] \cfrac{x}{y}=\cfrac{x+y}{z} \end{cases} \\\\[-0.35em] ~\dotfill\\\\ \stackrel{\textit{using the 1st equation}}{\cfrac{y}{x-z}=\cfrac{x}{y}\implies }y^2=\underline{x^2-xz} \\\\[-0.35em] ~\dotfill\\\\ \stackrel{\textit{using the 2nd equation}}{\cfrac{x}{y}=\cfrac{x+y}{z}\implies }xz=xy+y^2\implies \stackrel{\textit{substituting for }y^2}{xz=xy+(\underline{x^2-xz})}$

$2xz=xy+x^2\implies 2xz=x(y+x)\implies \cfrac{2xz}{x}=y+x \\\\\\ 2z=y+x\implies 2=\cfrac{y+x}{z}\implies 2=\cfrac{x+y}{z} \\\\[-0.35em] ~\dotfill\\\\ \stackrel{}{ \begin{cases} \cfrac{y}{x-z}=\cfrac{x}{y}\\[2em] \cfrac{x}{y}=\cfrac{x+y}{z} \end{cases}}\implies \begin{cases} \cfrac{y}{x-z}=\cfrac{x}{y}\\[2em] \cfrac{x}{y}=2 \end{cases}\implies \begin{cases} \cfrac{y}{x-z}=2\\[2em] \cfrac{x}{y}=2 \end{cases}$

that of course, is only true if x + y, or our numerator doesn't turn into 0, if it does then our fraction becomes 0 and our equation goes south. Keeping in mind that x,y and z are numeric values that correlate like so.

4 0

2 years ago

Write the recursive formula and the explicit formula for the sequence {-15,-7,1,9, 17,...}.

olchik [2.2K]

ANSWER

Explicit formula:

$a_n= 8n - 23$

Recursive

$a_{n}= a_{n - 1} + 8,a_1=-15$

EXPLANATION

The first term of the sequence is

$a_1=-15$

The common difference is

$d = - 7 - - 15$

$d = 8$

The nth term is given by the formula,

$a_n=a_1 + d(n - 1)$

$a_n= - 15+ 8(n - 1)$

$a_n= - 15+ 8n -8$

The explicit formula is;

$a_n= 8n - 23$

The recursive definition is

$a_{n}= a_{n - 1} + 8,a_1=-15$

5 0

4 years ago

Find the sum of the predecessor of the predecessor of 2987 and successor of the greatest 3 digits number is __________

grin007 [14]

Answer:

3985

Step-by-step explanation:

Note: predecessor means a number before for example predecessor of 4 is 3. Similarly, successor is a number after for example the successor of 4 is 5.

The predecessor of the predecessor of 2987 = 2987-2 = 2985

Let 2985 be x

The greatest 3 digit number = 999

And the successor of the greatest 3 digits number would be = 999+1 = 1000

let 1000 be y

We have find the sum of x and y

= 2985+1000

= 3985

4 0

3 years ago

let sin(θ) =3/5 and tan(y) =12/5 both angels comes from 2 different right trianglesa)find the third side of the two tringles b)

statuscvo [17]

In a right triangle, we haev some trigonometric relationships between the sides and angles. Given an angle, the ratio between the opposite side to the angle by the hypotenuse is the sine of this angle, therefore, the following statement

$\sin (\theta)=\frac{3}{5}$

Describes the following triangle

To find the missing length x, we could use the Pythagorean Theorem. The sum of the squares of the legs is equal to the square of the hypotenuse. From this, we have the following equation

$x^2+3^2=5^2$

Solving for x, we have

$\begin{gathered} x^2+3^2=5^2 \\ x^2+9=25 \\ x^2=25-9 \\ x^2=16 \\ x=\sqrt[]{16} \\ x=4 \end{gathered}$

The missing length of the first triangle is equal to 4.

For the other triangle, instead of a sine we have a tangent relation. Given an angle in a right triangle, its tanget is equal to the ratio between the opposite side and adjacent side.The following expression

$\tan (y)=\frac{12}{5}$

Describes the following triangle

Using the Pythagorean Theorem again, we have

$5^2+12^2=h^2$

Solving for h, we have

$\begin{gathered} 5^2+12^2=h^2 \\ 25+144=h^2 \\ 169=h^2 \\ h=\sqrt[]{169} \\ h=13 \end{gathered}$

The missing side measure is equal to 13.

Now that we have all sides of both triangles, we can construct any trigonometric relation for those angles.

The sine is the ratio between the opposite side and the hypotenuse, and the cosine is the ratio between the adjacent side and the hypotenuse, therefore, we have the following relations for our angles

$\begin{gathered} \sin (\theta)=\frac{3}{5} \\ \cos (\theta)=\frac{4}{5} \\ \sin (y)=\frac{12}{13} \\ \cos (y)=\frac{5}{13} \end{gathered}$

To calculate the sine and cosine of the sum

$\begin{gathered} \sin (\theta+y) \\ \cos (\theta+y) \end{gathered}$

We can use the following identities

$\begin{gathered} \sin (A+B)=\sin A\cos B+\cos A\sin B \\ \cos (A+B)=\cos A\cos B-\sin A\sin B \end{gathered}$

Using those identities in our problem, we're going to have

$\begin{gathered} \sin (\theta+y)=\sin \theta\cos y+\cos \theta\sin y=\frac{3}{5}\cdot\frac{5}{13}+\frac{4}{5}\cdot\frac{12}{13}=\frac{63}{65} \\ \cos (\theta+y)=\cos \theta\cos y-\sin \theta\sin y=\frac{4}{5}\cdot\frac{5}{13}-\frac{3}{5}\cdot\frac{12}{13}=-\frac{16}{65} \end{gathered}$

4 0

1 year ago

Maddison hid 12 of her sister's birthday gifts around the house. If this was 15% of the gifts, how many total gifts did her sist

I am Lyosha [343]

Answer:

80 gifts

Step-by-step explanation:

Maddison hid 12 of her sister's birthday gifts around the house. If this was 15% of the gifts, how many total gifts did her sister have?

Let the Total gifts that her sister has be represented by x

Hence:

15% of x = 12

15/100 × x = 12

15x /100 = 12

Cross Multiply

15x = 100 × 12

15x = 1200

x = 1200/15

x = 80 gifts

Hence, the total gifts her sister has is 80 gifts

4 0

3 years ago

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