All categories

3 years ago

Find m>X 21.04 22.62 67.38 68.96

Mathematics

1 answer:

valina [46]3 years ago

4 0

Answer:

67.38 degrees

Step-by-step explanation:

Here, we want to find the value of the angle at X

We are going to use the appropriate trigonometric ratio here

From the question, the vertex X faces the side 12 and that makes the side the opposite

The side 13 faces the right angle and that makes it the hypotenuse

The trigonometric ratio that connects both is the sine

so we have that;

sine X = 12/13

X = arc sin (12/13)

X = 67.38

You might be interested in

Pls help me with trig :)

trapecia [35]

Answer:

Step-by-step explanation:

let ∠GEF=x

then ∠GFE=90-x

$\frac{GH}{EH}=tan x\\GH=EH~ tan x\\or~ GH=a ~tan x=6 tan x\\\frac{GH}{FH}=tan (90-x)=cot x\\GH=FH*cot x\\GH=b*cot x=27 cot x\\6 tan x=27 cotx\\\frac{tan x}{cot x}=\frac{27}{6}\\tan ^2 x=\frac{27}{6}=\frac{9}{2}\\sec^2x-tan^2x=1\\sec^2 x=1+tan ^2x=1+\frac{9}{2}=\frac{11}{2}\\\frac{EG}{EH}=sec x\\ EG=EH sec x=a sec x= 6 sec x=6\sqrt{\frac{11}{2} } =3\sqrt{22} \approx 14.07$

4 0

3 years ago

G(x)=3x+2(x+1) evaluate g(7)

lianna [129]

G(x) = 3x + 2(x + 1)

g(7) = 3(7) + 2(7 + 1)

g(7) = 21 + 2(8)

g(7) = 21 + 16

g(7) = 37

5 0

3 years ago

I need help with questions number seven and ten. <br> Answering will give you 28 pts

Anika [276]

Answer:

#7=A

#10=

Step-by-step explanation:

for #10 idk the answer but its kind of similar to number 7

sorry

3 0

4 years ago

Wendy saved up for a family trip to the beach. For each $1 she saved, her parents pledged to save $5. If her parents were able t

viva [34]

225/5 = 45
This means the parents gave her five dollars forty five times. If they gave her a five every time she saved one dollar, you just have to multiply the money she saved each time and the number of times she saved it, and you'll get the answer.
Wendy saved $45 by herself

6 0

3 years ago

Read 2 more answers

BRAINLYYYY PLUS 100 PointsThe difference between two numbers is 84 and their sum is 278. What are the numbers? Hint( answer is x

den301095 [7]

Answer:

x = 181 and y = 97

Step-by-step explanation:

let called the first number is x

the second number would be called y

We are given that:

x + y = 278 (1)

x = y + 84 (2)

Let change x in (2) into (1):

y + 84 + y = 278

2y + 84 = 278

Subtract 84 from both side, we got:

2y + 84 - 84 = 278 - 84

2y + 0 = 194

Divide both side by 2, we got:

2y / 2 = 194 / 2

y = 97

Because y = 97 and x + y = 278 so x would equal:

x + 97 = 278

Subtract 97 from both side, we got:

x + 97 - 97 = 278 - 97

x + 0 = 181

x = 181 and y = 97

Hope this helped :3

4 0

3 years ago