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oksano4ka [1.4K]
3 years ago
10

A square has a length of 0.75m. Find the area.

Mathematics
1 answer:
murzikaleks [220]3 years ago
4 0

Answer:

0.5625 m^2

Step-by-step explanation:

To find the area of a square is s^2 and the side length s is 0.75m.

s^2 = (0.75)(0.75) = 0.5625 m^2

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For what value of “a”are the graphs of 5y = -2x + 10 and 3y = aX- 15 parallel
Pie

Answer:

a = -6/5

Step-by-step explanation:

For the graphs to be parallel the graphs should have same slope(m)

So we rewrite both our equations in the slope-intercept form then compare the slope to find the value of a like this,

y=mx+b

This equation is the slope-intercept form we convert both our equations in this form firstly taking equation 1

5y=-2x+10\\\\y=\frac{-2x+10}{5} \\\\y=\frac{-2}{5}x+\frac{10}{5} \\\\y=\frac{-2}{5}x+2

so if we compare it with y = mx + b the coefficient of x is m and hence

m= -2/5 now solving for equation 2

3y=ax-15\\\\y=\frac{ax-15}{3} \\\\y=\frac{ax}{3}-\frac{15}{3}  \\\\y=\frac{a}{3}x-5\\\\

so here if we compare it with y = mx + b the coeffienct of x is a/3 so since parallel lines have same slope by the formula:

m_1=m_2

we equation both the slope to each other to find the value of a like this,

m_1=m_2\\\\\frac{-2}{5}=\frac{a}{3}\\\\-2(3)=a(5)\\\\-6=5a\\-6/5=a

so the value of a equals

a= -6/5

8 0
3 years ago
A pom-pom manufacturer makes each of its pom-poms with 35% white strands (w), 25% blue strands (b), and 40% red strands (r). If
DIA [1.3K]

Answer:

28 white strands , 20 blue strands and 32 red strands are needed to make a pair of pom-poms

Step-by-step explanation:

Given :A pom-pom manufacturer makes each of its pom-poms with 35% white strands (w), 25% blue strands (b), and 40% red strands (r).

To Find : If each pom-pom has a total of 80 strands, how many of strands of each color are needed to make a pair of pom-poms?

Solution:

Total Strands = 80

White Strands = 35%

No. of white strands = 35\% \times 80 =\frac{35}{100} \times 80 =28

Blue Strands = 25%

No. of blue strands = 25\% \times 80 =\frac{25}{100} \times 80 =20

Red Strands = 40%

No. of Red strands = 40\% \times 80 =\frac{40}{100} \times 80 =32

Hence 28 white strands , 20 blue strands and 32 red strands are needed to make a pair of pom-poms

3 0
3 years ago
Read 2 more answers
rewrite f(x)=x^2+8x-20 in the form that would most easily help you identify the zeros of the function
Snowcat [4.5K]

Answer:

f(x) = (x-2) (x+10)

Step-by-step explanation:

f(x)=x^2+8x-20

Factor the right hand side

What 2 numbers multiply to -20 and add to 8

-2 * 10 = -20

-2 + 10 = 8

f(x) = (x-2) (x+10)

Then we can use the zero product property to help us to find the zero's

8 0
3 years ago
Read 2 more answers
A graph is constructed of the length of the side of a square compared to the area of a square. what would the function rule be t
sergeinik [125]
Based on the given description above, it is said that the graph is made of the length of the side of a square. By definition, a square has equal sides, and the area of getting the square is A=s^2. Therefore, the function rule for this to find the area for any given side length would be y = x^2. Given the y is the area of the graph and x is the length of the side. Hope this answer helps.
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3 years ago
15 tan^3 x=5 tan x Find all solutions of the equation in the interval [0, 2π). (Enter your answers as a comma-separated list. If
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\bf 15tan^3(x)=5tan(x)\implies 3tan^3(x)=tan(x)
\\\\\\
3tan^3(x)-tan(x)=0\implies tan(x)[3tan^2(x)-1]=0
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\begin{cases}
tan(x)=0\\\\
\measuredangle x=0,\pi \\
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3tan^2(x)-1=0\\
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tan(x)=\pm\frac{1}{\sqrt{3}}\\\\
\measuredangle x=\frac{\pi }{6}, \frac{5\pi }{6},\frac{7\pi }{6}, \frac{11\pi }{6}
\end{cases}
8 0
3 years ago
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