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Svetllana [295]
2 years ago
15

Solve for 2. Round to the nearest tenth, if necessary.

Mathematics
1 answer:
inysia [295]2 years ago
6 0

Answer:

Step-by-step explanation:

The reference angle is given as 63 degrees. The sides in question, x and 1, are adjacent to and opposite of this angle, respectively. The trig ratio that utilizes the sides adjacent to and opposite of angles is the tangent ratio; namely:

tan(63)=\frac{1}{x} and rearrange algebraically to get

x=\frac{1}{tan(63)} to get

x = .5

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If you multiply me by 7 add 1 and then divide by 4 you get 9 what number am I?
labwork [276]
Put the number as x and translate the English into math;
(7x+1)/4=9
Then solve for x
8x+1=36
8x=35
x=4.375 or 4 3/8
Hope this helps. 
3 0
3 years ago
Read 2 more answers
The coordinates of rhombus ABCD are A(–4, –2), B(–2, 6), C(6, 8), and D(4, 0). What is the area of the rhombus? Round to the nea
a_sh-v [17]
Check the picture below.

so the rhombus has the diagonals of AC and BD, now keeping in mind that the diagonals bisect each, namely they cut each other in two equal halves, let's find the length of each.

\bf ~~~~~~~~~~~~\textit{distance between 2 points}
\\\\
A(\stackrel{x_1}{-4}~,~\stackrel{y_1}{-2})\qquad 
C(\stackrel{x_2}{6}~,~\stackrel{y_2}{8})\qquad \qquad 
%  distance value
d = \sqrt{( x_2- x_1)^2 + ( y_2- y_1)^2}
\\\\\\
AC=\sqrt{[6-(-4)]^2+[8-(-2)]^2}\implies AC=\sqrt{(6+4)^2+(8+2)^2}
\\\\\\
AC=\sqrt{10^2+10^2}\implies AC=\sqrt{10^2(2)}\implies \boxed{AC=10\sqrt{2}}\\\\
-------------------------------

\bf ~~~~~~~~~~~~\textit{distance between 2 points}
\\\\
B(\stackrel{x_1}{-2}~,~\stackrel{y_1}{6})\qquad 
D(\stackrel{x_2}{4}~,~\stackrel{y_2}{0})\qquad \qquad BD=\sqrt{[4-(-2)]^2+[0-6]^2}
\\\\\\
BD=\sqrt{(4+2)^2+(-6)^2}\implies BD=\sqrt{6^2+6^2}
\\\\\\
BD=\sqrt{6^2(2)}\implies \boxed{BD=6\sqrt{2}}

that simply means that each triangle has a side that is half of 10√2 and another side that's half of 6√2.

namely, each triangle has a "base" of 3√2, and a "height" of 5√2, keeping in mind that all triangles are congruent, then their area is,

\bf \stackrel{\textit{area of the four congruent triangles}}{4\left[ \cfrac{1}{2}(3\sqrt{2})(5\sqrt{2}) \right]\implies 4\left[ \cfrac{1}{2}(15\cdot (\sqrt{2})^2) \right]}\implies 4\left[ \cfrac{1}{2}(15\cdot 2) \right]
\\\\\\
4[15]\implies 60

7 0
3 years ago
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The graph shows the distance a car traveled, y, in x hours:
forsale [732]

Answer:

i dont know

lol

Step-by-step explanation:

8 0
3 years ago
A balloon has a circumference of 28 in use the circumference to approximate the surface area of the ballon to the nearest square
nikklg [1K]

The surface area of the balloon is 249 in².

<h3>What is the surface area of the balloon ?</h3>

A balloon has the shape of a sphere. The distance round the sphere is equal to the circumference of the sphere.

Circumference of the sphere = 2πr

Where:

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Radius - circumference / 2π

28 / ( 2 x 22/7) = 4.45 inches

Surface area of a sphere = 4πr²

4 x 22/7 x 4.45² = 249 in²

To learn more about the surface area of a sphere, please check: brainly.com/question/27267844

#SPJ1

5 0
1 year ago
Simple 9th grade math
Liono4ka [1.6K]

Answer:

-1078

Step-by-step explanation:

To find the nth term in an arithmetic sequence we use the following formula

aₙ=a₁+(n-1)*d

Where a₁ is the first time, and d is the common difference (in this case -20)

So we have

2+(55-1)*-20

2+(54)*-20

2-1080

-1078

5 0
2 years ago
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