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valina [46]
3 years ago
14

Click PLEASE TEST GRADE!!!

Mathematics
1 answer:
liraira [26]3 years ago
6 0

Answer:

3

Step-by-step explanation:

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In the triangle shown above m∠B = 114°, m∠C = 22°, and b = 12 in. What is the approximate length of side a? A. 15.78 in B. 9.12
Elena L [17]

The approximate length of side a is 9.12 in. The correct option is B. 9.12 in

<h3>Law of Sines </h3>

From the question, we are to determine the approximate length of side a

From the given information, we have that

m∠B = 114°, m∠C = 22°

Thus,

m∠A = 180° - (114° + 22°)

m∠A = 180° - 136°

m∠A = 44°

Now,

From the law of sines, we have that

a/sinA = b/sinB

Then,

a/sin44° = 12/sin114°

a = (12 ×sin44°)/sin114°

a = 9.12 in

Hence, the approximate length of side a is 9.12 in. The correct option is B. 9.12 in

Learn more on Law of Sines here: brainly.com/question/24138896

#SPJ1

4 0
1 year ago
Write the slope intercept form of the equation of the line through the given points. (5,-1) and (-5,2)
Lelu [443]

Answer:

y=-\frac{3}{10} x+\frac{1}{2} or -\frac{3}{10}

Step-by-step explanation:

first use the y2-y1/x2-x1 formula then use y=mx+b after

plug in 2 for y2 and -1 for y1

plug in -5 for x2 and 5 for x1

\frac{2-(-1)}{-5-5}=

2+1=3

-5-5=-10

-\frac{3}{10} is ur slope

_____________________

this is the y=mx+b formula *extra info ig*

i usually use the first point for this but u can use watever point u want

plug in 5 for x

plug in -1 for y

and plug -3/10 for m

-1=-3/10(5)+b

-3/10*5=-3/2

-1=-3/2+b

add -3/2 on both sides

-1+3/2=1/2

1/2=b and b is ur y-intercept

y=-3/10x+1/2

hope this helps

7 0
3 years ago
What is the area of a right triangle with a hypotenuse of 12 and 1 leg is 10??
Agata [3.3K]
Hey there! :)

Area of triangles → (base × height) ÷ 2

The base and height are the 2 legs. You have to find the length of the other leg to find the area, using the Pythagorean Theorem.

a² + b² = c² → c² - a² = b²

c = 12
12² = 12 × 12 = 144

a = 10
10² = 10 × 10 = 100

144 - 100 = 44

√44 = 6.6
_____________________________________________________________

Area of triangles → (base × height) ÷ 2

Base: 10
Height: 6.6

6.6 × 10 = 66

66 ÷ 2 = 33

The area is 33 

Hope this helps :)


5 0
3 years ago
Please help, When do you need to approximate an irrational number with a rational value? Explain your understanding and give an
disa [49]

9514 1404 393

Answer:

  in any numerical computation; numerical values can only be rational numbers

Step-by-step explanation:

Any time a number is written down as a numerical value, it is a rational number. The numerical values we give to π or e or any root, logarithm, trig function, and polynomial solution are, of necessity, rational approximations to the true value. An "exact" value for an irrational number cannot be written down, so it must be approximated any time its numerical value is needed.

8 0
3 years ago
If it takes 1 3/4 m of cloth to make a dress. How many dresses can be made from 10 1/2 m of cloth?
Amanda [17]

Answer:

6

Step-by-step explanation:

1¾ can go into 10½ 6 times

just divide them

7 0
3 years ago
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