Solve the x−4<2 or 4x−1>4 and write the solution in interval notation

The length of each side of an equilateral triangle is increased by 20%, resulting in triangle ABC. If the length of each side of

kompoz [17]

Answer: Area of ΔABC is 2.25x the area of ΔDEF.

Step-by-step explanation: Because equilateral triangle has 3 equal sides, area is calculated as

$A=\frac{\sqrt{3} }{4} a^{2}$

with a as side of the triangle.

Triangle ABC is 20% bigger than the original, which means its side (a₁) measures, compared to the original:

a₁ = 1.2a

Then, its area is

$A_{1}=\frac{\sqrt{3} }{4}(1.2a)^{2}$

$A_{1}=\frac{\sqrt{3} }{4}1.44a^{2}$

Triangle DEF is 20% smaller than the original, which means its side is:

a₂ = 0.8a

So, area is

$A_{2}=\frac{\sqrt{3} }{4} (0.8a)^{2}$

$A_{2}=\frac{\sqrt{3} }{4} 0.64a^{2}$

Now, comparing areas:

$\frac{A_{1}}{A_{2}}= (\frac{\sqrt{3}.1.44a^{2} }{4})(\frac{4}{\sqrt{3}.0.64a^{2} } )$

$\frac{A_{1}}{A_{2}} =$ 2.25

The area of ΔABC is 2.25x greater than the area of ΔDEF.

7 0

2 years ago

A hypothesis test is performed to determine if the proportion of all six packs of seltzers sold in a particular grocery store ne

slava [35]

Answer:

None of them is true Please mark brailiest

Step-by-step explanation:

8 0

2 years ago

Find an equation in slope-intercept form for the line with slope -3/4 and y-intercept=0? will give BRAINLIEST

nata0808 [166]

Answer:

Step-by-step explanation:

See the solution process below:

Explanation:

The slope-intercept form of a linear equation is: y =mx+b

Where m is the slope and b

is the y-intercept value.

We are given the slope in the problem so we can substitute

−5/6 for m in the formula.

And,

(0,6)

is the y-intercept so we can substitute

6

for

b

in the formula giving:

y

=

−

5

6

x

+

6

6 0

2 years ago

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Jamie wants to build a rectangular fence around a new chicken pen. He can afford at most 70 ft of fencing, and must fit the pen

Artist 52 [7]

Answer:

no ( 9,22) is not a solution to the system of inequalities but 22os to long to fit in the space

Step-by-step explanation:

i hope this is helpful.

3 0

1 year ago

Jeremy claims that if a linear function has a slope of the same steepness and the same y-intercept as the linear function in the

andre [41]

Here, we have to examine the equation of the straight line which is denoted by: y = m x +c where "m" is the slope which represents the steepness and c is the y-intercept

Here, the two linear functions have the same slope "m" and the same y-intercept "c". When both these are the same, the two linear functions are representing the same straight line.

Therefore, Jeremy is correct in his argument.

7 0

2 years ago

Read 2 more answers