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Lorico [155]
3 years ago
6

Find the perimeter of the figure

Mathematics
1 answer:
PIT_PIT [208]3 years ago
6 0
It would be 19x + 8 as the perimeter, you would find that out by combining the like terms within the given meters of each side of this shape.
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Indicate which formula you would use to solve for the missing side B and then write your answer correct to two decimal places.Wr
agasfer [191]

Answer:

The measure of the angle b is approximately 44.040°.

Step-by-step explanation:

We need to apply Law of the Sine to determine the value of angle b, since the length of the side opposite to this side and another side length and its opposite angle are known. That is:

\frac{3.6}{\sin b} = \frac{5.1}{\sin 100^{\circ}}

\sin b = \frac{3.6}{5.1}\times \sin 100^{\circ}

b = \sin^{-1}\left(\frac{3.6}{5.1}\times \sin 100^{\circ} \right)

b \approx 44.040^{\circ}

The measure of the angle b is approximately 44.040°.

4 0
3 years ago
What is the vertex of the quadratic equation y = - 1/3 (x + 2)^2 +5
Wewaii [24]

Answer:

<h2>(-2, 5)</h2>

Step-by-step explanation:

\text{The vertex form of a quadratic equation:}\\\\y=a(x-h)^2+k\\\\(h,\ k)-vertex\\---------------\\\text{We have:}\\\\y=-\dfrac{1}{3}(x+2)^2+5=-\dfrac{1}{3}(x-(-2))^2+5\Rightarrow h=-2\ \text{and}\ k=5\\\\\text{therefore the vertex is:}\ (-2,\ 5)

6 0
3 years ago
Solve the inequality<br> -3(j+3)+9j&lt;-15
MAXImum [283]
Simplify
−
3
(
j
+
3
)
+
9
j
-
3
(
j
+
3
)
+
9
j
.
Tap for fewer steps...
Simplify each term.
Tap for more steps...
−
3
j
−
9
+
9
j
<
−
15
-
3
j
-
9
+
9
j
<
-
15
Add
−
3
j
-
3
j
and
9
j
9
j
.
6
j
−
9
<
−
15
6
j
-
9
<
-
15
Move all terms not containing
j
j
to the right side of the inequality.
Tap for fewer steps...
Add
9
9
to both sides of the inequality.
6
j
<
−
15
+
9
6
j
<
-
15
+
9
Add
−
15
-
15
and
9
9
.
6
j
<
−
6
6
j
<
-
6
Divide each term in
6
j
<
−
6
6
j
<
-
6
by
6
6
and simplify.
Tap for fewer steps...
Divide each term in
6
j
<
−
6
6
j
<
-
6
by
6
6
.
6
j
6
<
−
6
6
6
j
6
<
-
6
6
Simplify the left side.
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j
<
−
6
6
j
<
-
6
6
Simplify the right side.
Tap for more steps...
j
<
−
1
j
<
-
1
The result can be shown in multiple forms.
Inequality Form:
j
<
−
1
j
<
-
1
Interval Notation:
(
−
∞
,
−
1
)
4 0
3 years ago
Sara is building a circular garden with a radius of 14 m. She can buy the fencing in
mojhsa [17]

Answer:

she need to buy 9 packs

Step-by-step explanation:

C = 2πr

= 2·3.14·14

= 87.92 m

she need to buy 9 packs

5 0
3 years ago
Read 2 more answers
What is the axis of symmetry of the function f(x)=-(x+9)(x-21)
Firlakuza [10]
Carry out the mult.:  f(x) = -[x^2 - 21x + 9x - 189] 

Combine like terms:  f(x) = -[x^2 - 12x - 189]
Eliminate the brackets [   ]:      f(x) = -x^2 + 12x + 189
Identify coefficients a, b and c:   a= -1, b=12, c=189

The equation of the axis of symmetry is    x = -b/(2a), which here equals

x = -(12)/[2(-1)], or     x = 6

This is also the x-coordinate of the vertex.  Plug x=6 into the original equation to calculate the y-coordinate.
3 0
3 years ago
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