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3 years ago

Find c, the hypotenuse, rounded to four decimal places, in a right triangle with b = 16 and B = 55

Mathematics

1 answer:

Fudgin [204]3 years ago

4 0

Answer:

c=19.5324

Step-by-step explanation:

In given triangle ABC, we have been give values of angle B=55 degree, angle C is right angle and b=16.

Now using those values, we need to find the value of side b.

apply formula of sin

$\sin\left(B\right)=\frac{AC}{AB}$

$\sin\left(55\right)=\frac{16}{c}$

$0.819152=\frac{16}{c}$

$0.819152c=16$

$c=\frac{16}{0.819152}$

$c=19.5323944762$

Hence final answer rounded to four decimal places is c=19.5324

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Use the substitution method to solve the following system of equations: 3x + 5y = 3 x + 2y = 0 (1 point) (1, 1) (6, −3) (6, 1) (

PtichkaEL [24]

Step-by-step explanation:

Given.

$3x+5y=3$

$x+2y=0$

Take the second equation and subtract 2y to both sides.

$(x+2y)-2y=0-2y$

$x=-2y$

Substitute x into the first equation and simplify.

$3x+5y=3$

$3(-2y)+5y=3$

$-6y+5y=3$

$-y=3$

Invert.

$y=-3$

Substitute Y into your second equation.

$x+2y=0$

$x+2(-3)=0$

$x-6=0$

Add -6 to both sides.

$(x-6)+6=0+6$

$x=6$

Answer:

(6, -3)

6 0

2 years ago

How to round 106.327 to nearest hundredths explain

scoray [572]

Answer:

106.33

Step-by-step explanation:

after decimal you have .3 tenths 2 hundredths 7 thousandths

to round to the nearest hundredths look at thousandths 7 becasuse is greater then 5 then you round up

106.327 is rounded to 106.33

8 0

2 years ago

Read 2 more answers

Dying for help please failing mathh

JulsSmile [24]

You might want to stick to at most five questions at once, makes it easier for the rest of us. :)

17. T has a vertical line of symmetry (along the center line).
18. Z looks the same if you turn it halfway around.
19. The passes total to 150°, which is a little less than 180°, so I estimate it would be in front of Kai.
20. Left is the -x direction. Up is the +y direction. this is (x-6, y+4)
21. Every dilation has a center (where it's dilated from) and a scale factor (how much it's dilated).
22. It must be A, because it's the only one where the number of moves adds up to 16.
23. It can be determined to be B just by tracking where point C would end up through the transformation.
24. A 180° rotation flips the signs on both components to give you (-1, 6).
25. Right is the +x direction. Down is the -y direction. (x+3, y-5)
26. This is a reflection.

Need clarification on anything?

4 0

3 years ago

Read 2 more answers

Kayla wants to find the width, AB, of a river. She walks along the edge of the river 65 ft and marks point C. Then she walks 25

AlladinOne [14]

Answer:

Part A) The triangles ABC and EDC are similar by AAA, because the three internal angles are equal in both triangles

Part B) The width of the river is about $39\ ft$