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Dvinal [7]
2 years ago
10

Given: a = 640, A = 70°, B = 52° in triangle ABC ; find c . Round answers to the nearest whole number. Do not use a decimal poin

t or extra spaces in the answer or it will be marked incorrect.
Mathematics
1 answer:
telo118 [61]2 years ago
8 0
Law of sines:
\frac{a}{\sin A}=\frac{b}{\sin B}=\frac{c}{\sin C}\\=\frac{640}{\sin 70}=\frac{c}{\sin (180-70-52)}\\\text{ then}\\c=\frac{640}{\sin 70}\sin (180-70-52)\\=577 
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Find the missing segment.
Bond [772]

Answer:

? = 7.

Step-by-step explanation:

The two triangles are similar because of the AA Theorem.

The larger triangle's side that is equal to 9 + 3 corresponds to the smaller triangle's side length of 9, while the larger triangle's 21 + ? side corresponds to the smaller triangle's 21 side. Now, we can set up a proportion!

\frac{9}{9+3} =\frac{21}{21 + ?}

\frac{9}{12} =\frac{21}{? + 21}

\frac{3}{4} =\frac{21}{? + 21}

\frac{1}{4} =\frac{7}{? + 21}

? + 21 = 7 * 4

? + 21 = 28

? = 28 - 21

? = 7

Hope this helps!

3 0
3 years ago
What is -5/6 divided by 9/10 <br><br><br> 50 POINTS!!!!!<br><br> plz help me im so tired
gladu [14]

Hello!

The answer is -25/27.

Hope this helps!

6 0
3 years ago
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Aply the distributive property to factor out the greatest common factor. 70-40p
liubo4ka [24]

Answer:

actually the khan academy version is 10(7−4p) because i tried just 10 and it didn't work so this is the khan academy answer

Step-by-step explanation:

6 0
3 years ago
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(a) Find parametric equations for the line through (1, 3, 8) that is perpendicular to the plane x − y + 4z = 3. (Use the paramet
tigry1 [53]

Answer:

a)    x = 1 + t

      y = 3 -  t

      z = 8 +2t

b)  In XY plane (-3,-1,0)

    In YZ  plane (0, 4,  6)

    In XZ plane ( 4,0,14)

Step-by-step explanation:

The equation of plane is given as

x -y +2z = 5

a)

COMPARE THE ABOVE EQUATION with Ax+ By +Cz = d

A = 1, B = -1. C =  2

N = (1,3,8) {GIVEN POINT]

the parametric eqn. of line P(Xo , Yo, Zo) and prependicular plan Ax+ By+ Cz = d is given as

X = Xo+ At

Y = Yo + Bt

Z=Zo + Ct

x = 1 + t

y = 3 -  t

z = 8 +2t

b) Line intersecting XY plane if z equal to zero i.e

0 = 8 +  2t

t =-4

for t = -4

x = -3, y = -1, z = 0

In YZ plane, x = 0

t = -1

interesting point will be

(0, 4,  6)

In XZ plane, Y =  0

t = 3

interesting point will be

(4, 0,  14)

8 0
2 years ago
4. Find the value of each variable for the right triangles. Make sure all answers are in reduced radical form. Show your work.
lara [203]
Use Pythagorean's, in figure 1: t^2+12^2=13^2. t=\sqrt(13^2-12^2)=\sqrt(25)=5.
In figure 2: 6^2+9^2=x^2. x=\sqrt(36+81)=\sqrt(117)=3*\sqrt(13).
7 0
3 years ago
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