All categories

3 years ago

How to find out the value of the lettered sides

Mathematics

2 answers:

Serggg [28]3 years ago

6 0

Answer:

Step-by-step explanation:

<u>First</u><u> </u><u>Question</u>

To find a we use sine

sin ∅ = opposite / hypotenuse

a is the opposite

12.8 is the hypotenuse

sin 46 = a / 12.8

a = 12.8 sin 46

<u>Sec</u><u>ond</u><u> question</u>

To find b we use cosine

cos∅ = adjacent / hypotenuse

b is the adjacent

16.8 is the hypotenuse

cos 59 = b / 16.8

b = 16.8 cos 59

Hope this helps you

umka2103 [35]3 years ago

3 0

Step-by-step explanation:

sin 46°= a/12.8

a = sin46° * 12.8 = 9.20

cos59°=b/16.8

b = cos59°*16.8 = 8.65

You might be interested in

A phone company charges $0.06 per minute for local calls and $0.15 per minute for international calls. When your bill comes, it

solmaris [256]

Let's assume two variables x and y which represent the local and international calls respectively.

x + y = 852 = total number of minutes which were consumed by the company (equation 1)
0.06*x+ 0.15 y =69.84 = total price which was charged for the phone calls (Equation 2)
from equation 1:-
x=852 -y (sub in equation 2)
0.06 (852 - y) + 0.15 y =69.84

51.12 -0.06 y +0.15 y =69.84 (subtracting both sides by 51.12)
0.09 y =18.74
y= 208 minutes = international minutes (sub in 1)
208+x=852 (By subtracting both sides by 208)
x = 852-208 = 644 minutes = local minutes

6 0

3 years ago

Write an equation for the circle with endpoints of a diameter (9, 4) and (-3, -2)

inysia [295]

If the diameter is at (9,4) and (-3,-2), then the center of the circle is the midpoint of that segment.

and since we know that the radius of a circle is half of the diameter, whatever long that diameter segment is, the radius is half that.

$\bf ~~~~~~~~~~~~\textit{middle point of 2 points }
\\\\
\begin{array}{ccccccccc}
&&x_1&&y_1&&x_2&&y_2\\
% (a,b)
&&(~ 9 &,& 4~) 
% (c,d)
&&(~ -3 &,& -2~)
\end{array}\qquad
% coordinates of midpoint 
\left(\cfrac{ x_2 + x_1}{2}\quad ,\quad \cfrac{ y_2 + y_1}{2} \right)
\\\\\\
\left( \cfrac{-3+9}{2}~~,~~\cfrac{-2+4}{2} \right)\implies \stackrel{center}{(3~,~1)}$

$\bf -------------------------------\\\\
~~~~~~~~~~~~\textit{distance between 2 points}
\\\\
\begin{array}{ccccccccc}
&&x_1&&y_1&&x_2&&y_2\\
% (a,b)
&&(~ 9 &,& 4~) 
% (c,d)
&&(~ -3 &,& -2~)
\end{array}
\\\\\\
d = \sqrt{( x_2- x_1)^2 + ( y_2- y_1)^2}
\\\\\\
d=\sqrt{(-3-9)^2+(-2-4)^2}\implies d=\sqrt{(-12)^2+(-6)^2}
\\\\\\
d=\sqrt{180}\qquad \qquad \qquad radius=\cfrac{\sqrt{180}}{2}$

$\bf -------------------------------\\\\
\textit{equation of a circle}\\\\ 
(x- h)^2+(y- k)^2= r^2
\qquad 
center~~(\stackrel{3}{ h},\stackrel{1}{ k})\qquad \qquad 
radius=\stackrel{\frac{\sqrt{180}}{2}}{ r}
\\\\\\
(x-3)^2+(y-1)^2=\left( \frac{\sqrt{180}}{2} \right)^2\implies (x-3)^2+(y-1)^2=\cfrac{(\sqrt{180})^2}{2^2}
\\\\\\
(x-3)^2+(y-1)^2=\cfrac{180}{4}\implies (x-3)^2+(y-1)^2=45$

7 0

3 years ago

Figures R,S, and T are all scaled copies of one another. Figure S is a scaled copy of R using a scale factor of 3. Figure T is a

PSYCHO15rus [73]

the scale factor from T to S = 1/2

Explanation:

Let the coordinate of R = (x, y)

Figure S is a scaled copy of R using a scale factor of 3:

S = 3(x, y)

S = (3x, 3y)

Figure T is a scaled copy of S using a scale factor of 2:

S = (3x, 3y)

T = 2(3x, 3y)

T = (6x, 6y)

The scale factor from T to S:

from (6x, 6y) to (3x, 3y): old to new

x axis: new/ old = 3x/6x = 1/2

y axis: new/ old = 3y/6y = 1/2

1/2(6x, 6y) will give (3x, 3y)

Therefore, the scale factor from T to S = 1/2

7 0

1 year ago

Zheng was curious whether △ABC and △CED are similar. He wrote a proof and came to the conclusion that they are not similar, but

Aleks [24]

Answer: C

Step-by-step explanation:

7 0

3 years ago

The Drury Lane Theater has 10 seats in the first row and 38 rows in all. Each successive row contains one additional seat. How m

Artist 52 [7]

Answer:

1083 seats

Step-by-step explanation:

i just answered that.

arithmetic sequence

a1 = 10

an = an-1 + 1 = a1 + (n-1)×1 = 10 + (n-1) = 9 + n

a38 = 9 + 38 = 47 seats

the sum of such an arithmetic sequence

n×(a1 + an)/2

in our case

38×(10 + 47)/2 = 19×57 = 1083 seats

6 0

2 years ago