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3 years ago

Tell the measure of the angle in degrees 1/5

Mathematics

1 answer:

babymother [125]3 years ago

5 0

If you meant "1/5 radian," then the angle in degrees is

1 180 degrees
---- * ------------------ = 36 degrees
5 1 rad

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B) 2x² - 4x + 3 = 0<br> a) x² + 3x – 10 = 0

kozerog [31]

Answer:

a. x = 2 , x = -5

b. no real roots

Step-by-step explanation:

= x² - 2x + 5x - 10

= x (x²/x - 2x/x) + 5 (5x/5 - 2*5/5)

= (x - 2) (x + 5)

x - 2 = 0 x + 5 = 0

+ 2 +2 -5 -5

-------------- ---------------

x = 2 x = -5

x = 2 , x = -5

This can't be solved because the equation has no real roots, and also the discriminant is negative.

3 0

2 years ago

You have D dollars to buy fence to enclose a rectangular plot of land (see figure at right). The fence for the top and bottom co

alex41 [277]

The perimeter of the rectangular plot of land is given by the expression below

$P=2x+2y$

On the other hand, since the available money to buy fence is D dollars,

$\begin{gathered} D=4(2x)+3(2y) \\ \Rightarrow D=8x+6y \\ D\rightarrow\text{ constant} \end{gathered}$

Furthermore, the area of the enclosed land is given by

$A=xy$

Solving the second equation for x,

$\begin{gathered} D=8x+6y \\ \Rightarrow x=\frac{D-6y}{8} \end{gathered}$

Substituting into the equation for the area,

$\begin{gathered} A=(\frac{D-6y}{8})y \\ \Rightarrow A=\frac{D}{8}y-\frac{3}{4}y^2 \end{gathered}$

To find the maximum possible area, solve A'(y)=0, as shown below

$\begin{gathered} A^{\prime}(y)=0 \\ \Rightarrow\frac{D}{8}-\frac{3}{2}y=0 \\ \Rightarrow\frac{3}{2}y=\frac{D}{8} \\ \Rightarrow y=\frac{D}{12} \end{gathered}$

Therefore, the corresponding value of x is

$\begin{gathered} y=\frac{D}{12} \\ \Rightarrow x=\frac{D-6(\frac{D}{12})}{8}=\frac{D-\frac{D}{2}}{8}=\frac{D}{16} \end{gathered}$ <h2>Thus, the dimensions of the fence that maximize the area are x=D/16 and y=D/12.</h2><h2>As for the used money,</h2> $\begin{gathered} top,bottom:\frac{8D}{16}=\frac{D}{2} \\ Sides:\frac{6D}{12}=\frac{D}{2} \end{gathered}$ <h2>Half the money was used for the top and the bottom, while the other half was used for the sides.</h2>

7 0

10 months ago

There are 62 girls in the 7th grade and 58 boys in the 8th grade. Each grade has 120 students. Which statement correctly compare

oee [108]

7th grade: 62/120 of the class is made up of girls; (120-62)/120 of boys.
8th grade: 58/120 of the class is made up of boys; (120-58)/120 of girls.

Looking at the info for boys only: Compare (120-62)/120 with 58/120. What do you see?

3 0

3 years ago

After Luca took his dogs for a walk, he gave them 6 dog treats. When Luca's dad got home from work, he gave the dogs t more trea

tigry1 [53]

Answer:

Luca's Dad gave Luca's Dog 4 treats

Step-by-step explanation:

Equation:

6 + x = 10

Step 1:

x = 10 - 6

Answer:

x = 4

Hope This Helps :)

5 0

3 years ago

On her last credit card bill, Linda paid a variable rate of 1.8 percent on the first $200 and 1.2 percent on

dybincka [34]

Interest paid by Linda is equal to $4.272 approximately equal to $4.27.

<u> Solution: </u>

Given that

Rate of interest on first $200 = 1.8%

Rate of interest on any amount over $200 = 1.2%

Unpaid balance amount of Linda’s credit card bill = $256

Need to calculate interest paid by her on $256.

Unpaid balance = $256

=$200 + 56

Amount over $200 = 56

Interest paid on first $200 = 1.8% of 200

= 0.018 x 200 = $3.6

Interest paid on amount over $200 that is $56 = 1.2% of 56

= 0.012 x 56 = $0.672

So total interest paid on $256 = 3.6 + 0.672 = $4.272.

Hence interest paid by Linda is equal to $4.272 approximately equal to $4.27.

4 0

3 years ago