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e-lub [12.9K]
2 years ago
10

What is the polygon called?

Mathematics
1 answer:
Whitepunk [10]2 years ago
5 0

Answer:

Trapezoid since it has one pair of parallel side and 4 sides.

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Solve the following exponential equations.<br> 2(4^x )+ 4^(x+1 )= 342
Cloud [144]

Answer:

  x ≈ 2.91644500708

Step-by-step explanation:

The equation can be simplified to ...

  2(4^x) +4(4^x) = 342

  6(4^x) = 342

  4^x = 57

Taking logarithms, we get ...

  x = log₄(57) = log(57)/log(4)

  x ≈ 2.91644500708

5 0
2 years ago
Find the equation of the line that is perpendicular to the line x = −5 and passes through the point (1, π). A) y = π B) y = πx C
Leviafan [203]

Answer:

<h2>A) y = π</h2>

Step-by-step explanation:

\text{The equation of a horizontal line:}\ y=a.\\\\\text{The equation of a vertical  line:}\ x=a\\\\a-any\ real\ number\\\\\text{We have}\ x=-5.\ \text{It's a vertical line.}\ \text{The line that is perpendicular}\\\text{to the vertical line is a horizontal line.}\\\\\text{The line passes through the point}\ (1,\ \pi)\to x=1,\ y=\pi.\\\\\text{Therefore the equation is}\ y=\pi

5 0
3 years ago
A landscaper has enough cement to make a patio with an area of 150 Sq ft. The homeowner wants the length of the patio to be 6 ft
Natasha_Volkova [10]
A=lw=150\\l=w+6\\(w+6)w=150\\w^2+6w=150\\w^2+6w-150=0\\w=\frac{-b+-\sqrt{b^2-4ac}}{2a}\\w=\frac{-(6)+-\sqrt{(6)^2-4(1)(-150)}}{2(1)}\\w=\frac{-6+-\sqrt{36+600}}{2}\\w=\frac{-6+-\sqrt{636}}{2}\\w=\frac{-6+-2\sqrt{159}}{2}\\w=-3+-\sqrt{159}>0\\w=-3+\sqrt{159}\\\\l=(-3+\sqrt{159})+6\\l=3+\sqrt{159}

Width = -3 + sqrt(159)
Length = 3 + sqrt(159)
4 0
3 years ago
Annual snowfall in Anchorage, Alaska, is normally distributed with a mean height of 76 inches and a standard deviation of 4.7 in
lukranit [14]

Answer:

67.75%

Step-by-step explanation:

Given:

Given that:

µ = 76 ; σ = 4.7

P(x < 80.7) - P(x < 71.4)

Obtain the standardized score, Z ; x = 71. 4

Zscore = (x - μ) / σ

P(x < 71.4) = (71.4 - 76) / 4.7

P(x < 71.4) = - 4.6 / 4.7

P(x < 71.4) = - 0.9787

P(z < 0.9787) = 0.16386

x = 80.7

P(x < 80.7) = (80.7 - 76) / 4.7

P(x < 80.7) = 4.7 / 4.7

P(x < 80.7) = 1

P(z < 1) = 0.84134

0.84134 - 0.16386 = 0.67748 = 67.748% = 67.75%

6 0
2 years ago
4x+32=24<br> show your work
sp2606 [1]

Answer:

x = -2

Step-by-step explanation:

Original equation:

4x + 32 = 24

Subtract 32 from 24

-8

The equation should look like this now:

4x = -8

Divide both sides by 4

x = -2

Hope this helps :)

4 0
2 years ago
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