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3 years ago

FIND g rounded to the nearest degree ??

Mathematics

2 answers:

Harrizon [31]3 years ago

4 0

In this situation I would use cosine to find m∠G.

Cosine = Adjacent side ÷ Hypotenuse

RG being the adjacent side and TG being the hypotenuse, you would set up the equation like this

cos(g) = 8/17

then solve

cos(g) = 0.47058

simplify

g = cos^-1(0.47058)

and you get

m∠G = 61.9°

So your answer would be 62°

ioda3 years ago

4 0

62 is your answer hope this helped

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Which system of equations is incondsistent? a. 2x+8y=6 5x+20y=2

galina1969 [7]

Answer: Yes

Step-by-step explanation:

2x+8y=6

-8y -8y

2x = -2y

Divide by two so x will be by itself, so the answer will be -1y.

5x+20y=2

-20y -20y

5x = -18y

Divide by 5 so x will be by itself, so the answer will be -3y.

7 0

2 years ago

One cell phone plan charges $20 per month plus $.15 per minute used. A second cell phone plan charges $35 per month plus $.10 pe

SOVA2 [1]

20+0.15x = 35+0.10x

0.15x=15+0.10x

0.05x=15

x= 15/0.05

x= 300minutes

check:

300*.015 = 45+20=65

300*0.10 = 30 + 35 = 65

they equal

so number of minutes would be 300

7 0

3 years ago

If you lose two lbs a week consuming 600 calories, how many lbs would you lose consuming half of that?

SCORPION-xisa [38]

Answer:

maybe 4

Step-by-step explanation:

Well consider the fact a normal diet is about 1,200 calories a day. half of that is 600, there for you lose 2 pounds in a week. if you cut that in half the chances are you'll loose 4 pounds. but consuming only 300 calories a day is extremely unhealthy

4 0

3 years ago

The ratio of Wei Ling's age to Wei Xuan's age 5 years ago was 2: 5. In 9 years

Archy [21]

Answer:

15 years old

Step-by-step explanation:

Start by defining the variables that we are going to use throughout our working:

Let the current age of Wei Ling and Wei Xuan be L and X years old respectively.

Next, form equations using the given information.

5 years ago

Wei Ling: (L -5) years old

Wei Xuan: (X -5) years old

Given that the ratio of Wei Ling's age to that of Wei Xuan's is 2: 5,

$\frac{ L - 5}{X - 5} = \frac{2}{5}$

Cross multiply:

2(X -5)= 5(L -5)

Expand:

2X -10= 5L -25

2X= 5L -25 +10

2X= 5L -15 -----(1)

9 years time

Wei Ling: (L +9) years old

Wei Xuan: (X +9) years old

Given that the ratio of Wei Ling's age to that of Wei Xuan is 3: 4,

$\frac{L + 9}{X + 9} = \frac{3}{4}$

Cross multiply:

3(X +9)= 4(L +9)

Expand:

3X +27= 4L +36

3X= 4L +36 -27

3X= 4L +9 -----(2)

Let's solve using the elimination method.

(1) ×3:

6X= 15L -45 -----(3)

(2) ×2:

6X= 8L +18 -----(4)

(3) -(4):

6X -6X= 15L -45 -(8L +18)

0= 15L -45 -8L -18

0= 7L -63

7L= 63

L= 63 ÷7

L= 9

Substitute L= 9 into (1):

2X= 5(9) -15

2X= 45 -15

2X= 30

X= 30 ÷2

X= 15

Thus, Wei Xuan is 15 years old now.

6 0

2 years ago

Solve x^2 - 4 = 77.

Gennadij [26K]

Answer:

X = 9 or x = -9

Step-by-step explanation:

We want to solve the quadratic equation

${x}^{2} - 4 = 77$

We shall use the square root method

Let us add 4 to both sides to get:

${x}^{2} - 4 + 4 = 77 + 4$

${x}^{2} = 81$

We take square to get:

$x = \pm \sqrt{81}$

$x = \pm9$

The solution is x=9 or -9

5 0

2 years ago