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3 years ago

GEW has angle measures given by m<=5x+6 m<=3x and m

Mathematics

1 answer:

enyata [817]3 years ago

5 0

Answer:

Step-by-step explanation:

(5x + 6)° + (3x)° + (142 - 4x)° = 180°

5x + 6 + 3x + 142 - 4x = 180

4x + 148 = 180

4x = 32

x° = 8°

m∠E = 3×8° = <em>24°</em>

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A square napkin is folded in half on the diagonal and placed on the diameter of a round plate (see diagram below). If the folded

Crank

Answer:

$A=81(\pi-1)\ in^2$

Step-by-step explanation:

step 1

Find the area of the plate

The area of a circle is given by the formula

$A=\pi r^{2}$

we have

$r=18/2=9\ in$ ---> the radius is half the diameter

substitute

$A=\pi (9)^{2}\\A=81\pi\ in^2$

step 2

Find the area of the square napkin folded (is a half of the area of the square napkin)

we know that

The diagonal of the square is the same that the diameter of the plate

Applying Pythagorean theorem

$D^2=2b^2$

where

b is the length side of the square

we have

$D=18\ in$

substitute

$18^2=2b^2$

solve for b^2

$b^2=162\ in^2$ -----> is the area of the square

Divide by 2

$162/2=81\ in^2$

step 3

Find the area of the space on the plate that is NOT covered by the napkin

we know that

The area of the space on the plate that is NOT covered by the napkin, is equal to subtract the area of the square napkin folded (is a half of the area of the square napkin) from the area of the plate

$A=(81\pi-81)\ in^2$

simplify

$A=81(\pi-1)\ in^2$

8 0

3 years ago

The equation for decibels and sound intensity is D=10log(sub 10) I/I(sub0) where D is decibels.

velikii [3]

$D=10\log\dfrac{I}{I_0}\\\\
D=10\log\dfrac{10^{11}}{10^{-12}}\\
D=10\log10^{23}\\
D=10\cdot23=\\
D=230$

6 0

4 years ago

What is 1 plus 1 minus 2 plus 3

Mila [183]

Answer:3

Step-by-step explanation:

7 0

3 years ago

Read 2 more answers

Please help me find the slope of the line !!

LenaWriter [7]

The slope of the line is 3/2. That would be letter B. You take two points from the graph and subtract them from each other to find the slope. Hope this helps!

3 0

3 years ago

A growth medium is inoculated with 1,000 bacteria, which grow at a rate of 15% each day. What is the population of the culture 6

Leto [7]

<h2>Number of bacteria after 6 days is 2313</h2>

Step-by-step explanation:

Population after n days is given by

$P_n=P_0(1+r)^n$