Ask question

Ask question

All categories

4 years ago

13

|x+3|-1.5<2.5solve the inequality

1 answer:

pentagon [3]4 years ago

5 0

Absolute value is always positive, it is the distance from 0

You might be interested in

A semicircle is drawn onto one of the shorter sides of a rectangle. The shorter side of the rectangle measures 4 centimeters. Th

velikii [3]

<h3><u>Answer</u><u>:</u></h3>

8.78 cm

<h3><u>Solution</u><u>:</u></h3>

<em>We are given that :</em>

A semicircle is drawn onto the shorter side of rectangle.
Shorter side of rectangle measures 4cm. i.e; the diameter of the circle is 4cm
Area of the figure is 41.4 cm²

<em><u>Using </u><u>Formulas</u><u>:</u></em>

Area of rectangle:

$\quad\hookrightarrow\quad{\pmb{ \mathfrak {length\times breadth }}}$

Area of semicircle:

$\quad\hookrightarrow\quad{\pmb{ \mathfrak{ \dfrac{\pi r^2 }{2}}}}$

<u>We </u><u>have </u><u>to </u><u>find </u><u>the </u><u>length </u><u>of </u><u>longer </u><u>side </u><u>of </u><u>rectangle</u><u>!</u>

Here, we can know that the figure is composed of one rectangle and one semicircle. Therefore by combining the areas of rectangle and circle and taking the length of rectangle as a variable , we will finds its value ;

$\quad\dashrightarrow\quad \sf {Area_{\tiny { total}} = Area_{\tiny {rectangle}}+ Area_{\tiny {semicircle}}}$

$\quad\dashrightarrow\quad \sf {A = ( l \times b ) + \dfrac{\pi r^2 }{2} }$

$\quad\dashrightarrow\quad \sf {41.4 = ( l \times 4 ) +\dfrac{3.14\times 2^2}{2} }$

$\quad\dashrightarrow\quad \sf { 41.4= ( l \times 4 )+ \dfrac{ 3.14\times 4}{2}}$

$\quad\dashrightarrow\quad \sf { 41.4=( l \times 4 )+ \dfrac{12.56}{2}}$

$\quad\dashrightarrow\quad \sf { 41.4= (l \times 4 )+ 6.28}$

$\quad\dashrightarrow\quad \sf {l \times 4 = 41.4-6.28 }$

$\quad\dashrightarrow\quad \sf { l\times 4 = 35.12}$

$\quad\dashrightarrow\quad \sf { l =\dfrac{35.12}{4}}$

$\quad\dashrightarrow\quad \underline{\underline{\pmb{\sf {l = 8.78\:cm}}} }$

8 0

2 years ago

I<br> x+2y=-1<br> y=-3x - 8<br> Help please

ss7ja [257]

Answer:

x= -3 y =1

Step-by-step explanation:

4 0

3 years ago

A bear cub walks

Jobisdone [24]

Answer:use math(way

Step-by-step explanation

It help

8 0

3 years ago

Read 2 more answers

Write in exponential notation: 301=

dalvyx [7]

Answer:

$3.01 * 10^2$

Step-by-step explanation:

=)

Hope this helps!

4 0

3 years ago

Joan received $100 in gift cards for an online music store. Each time she buys a new song it costs $1.29. She has already bought

Artyom0805 [142]

-1.29(10) less then sign 100
he can by 67 more songs

5 0

3 years ago