What is the area of triangle ABC if a = 10 (degrees), B = 22 (degrees), and C = 70 (degrees) please help me.
A. 454.32 Sq Units
B. 103.37 Sq Units
C. 1.76 Sq Units
D. 17.61 Sq Units
Answers
Answer:
D. 17.61 square units
Step-by-step explanation:
To find the area of the ∆ABC, we can apply the formula below:
Area of ∆ABC = ½×a×c×sin(B)
a = 10
c = ??
B = 22°
Let's find c using Sine Rule:
Thus:
[tex] \frac{a}{sin(A)} = \frac{c}{sin(C)} [/tex]
Where,
a = 10
c = ??
A = 180 - (22 + 70) = 88°
C = 70°
Plug in the values
[tex] \frac{10}{sin(88)} = \frac{c}{sin(70)} [/tex]
Multiply both sides by sin(70)
[tex] \frac{10}{sin(88)} \times sin(70) = \frac{c}{sin(70)} \times sin(70) [/tex]
[tex] \frac{10 \times sin(70)}{sin(88)} = c [/tex]
[tex] 9.4 = c [/tex] (nearest tenth)
✔️Area of ∆ABC = ½×a×c×sin(B)
Plug in the values
Area of ∆ABC = ½ × 10 × 9.4 × sin(22)
Area = 17.61 square units (nearest tenth)
Related Questions
pls help!!!!!!!!!!!!!!
Answers
Answer:
C) √221 units
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightAlgebra II
Distance Formula: [tex]d = \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]Step-by-step explanation:
Step 1: Define
Point (-7, 7)
Point (7, 2)
Step 2: Find distance d
Simply plug in the 2 coordinates into the distance formula to find distance d
Substitute [DF]: [tex]d = \sqrt{(7+7)^2+(2-7)^2}[/tex]Add/Subtract: [tex]d = \sqrt{(14)^2+(-5)^2}[/tex]Exponents: [tex]d = \sqrt{196+25}[/tex]Add: [tex]d = \sqrt{221}[/tex]Identify the set of numbers that makes up the domain in the relation ((-2,-2), (0, 2), (2, 4), (3, -6)).
0-2.0.2.3
0-2.0.3,4
0-6-2, 0.2.3.4
0-6-2, 2.4
Answers
Answer:
The first set, -2,0,2,3 are the domains of this relation.
Answer:
The correct answer is:
Option 1: -2,0,2,3
Step-by-step explanation:
When a relation is written in the form of ordered pairs.
In each ordered pair, the first element/coordinate is the input of the function and the second element//coordinate of ordered pair is the output.
The set of inputs is the domain of the relation.
Given relation is:
((-2,-2), (0, 2), (2, 4), (3, -6)).
The first element of each ordered pair is:
-2, 0, 2, 3
Hence,
The correct answer is:
Option 1: -2,0,2,3
A quadrilateral has vertices A(4, 5), B(7, 7), C(6, 8), and D(4, 7). The image of the quadrilateral has vertices A"(–6, 0), B"(–9, –2), C"(–8, –3), and D"(–6, –2).
Which transformations may have taken place?
A. T (-2, 5) r y=x
B. T(-2,5) R 0,180
C. r y=x T(–2, 5)
D. R 0,180 T(-2,5)
Answers
Answer:
D
Step-by-step explanation:
Find the unit rate. Round to the nearest hundredth, if necessary.
$5.99 for 12 lb
Answers
Which expression are equivalent to 4m + 12?
Answers
Answer:
2(2m+6) or 4(m+3)
Step-by-step explanation:
answers can vary, but I would go with the second one becuase it's always best to distribute the greatest common factor.
Answer:
4(m+3) and 6m- 2m + 12
Step-by-step explanation:
Brian borrows $7,400 from Ed, who charges him 12% simple interest each year. How much will Brian pay Ed, if he repays after 5 years?
Answers
Answer:
$11,840
Step-by-step explanation:
Answer:
$11,840
Step-by-step explanation:
TRUST ME
Which expression is equivalent to the one below? 6 ÷ 5
A 6:1/5
B 5:1/6
C 5/6
D 30
Answers
Answer:
option A
Step-by-step explanation:
6:1/5 can also be written as 6/1÷5 which equals to 6÷5
Answer:
Option A is equivalent to the expression.
Question 4
At the beginning of each quarter, $100 is deposited into a saving account that pays 12% compounded monthly.
Find the future value (compound amount) of annuity for two years.
Answers
Answer:
$288
Step-by-step explanation:
12% monthly
144% yearly.
100*1.44*2 = all
all = 288
Hope this helps plz hit the crown :D
HELPHELPHELP
What is the least common den omin ator of the equation 2/9x+2/3=7
3
)9
27
63
Answers
I need help finding witch one is right
Answers
Answer:
I believe it's B!
Step-by-step explanation:
y=mx+b
y intercept is b
slope is m
y intercept is positive 5
slope is down 2 to the right 3
y= -2/3x+5
Answer:
The answer is B.
Step-by-step explanation:
In a slope form equation, y = mx + b where m represents gradient and b is y-intecept. In the graph above, the line shows a negative gradient and the y-intercept is 5. So the possible option is B.
Solve x^2 +13x+12=0 Please answer this
Answers
Answer:
x=−1 or x=−12
Step-by-step explanation:
Let's solve your equation step-by-step.
x2+13x+12=0
Step 1: Factor left side of equation.
(x+1)(x+12)=0
Step 2: Set factors equal to 0.
x+1=0 or x+12=0
x=−1 or x=−12
Answer:
Solution
=
−
1
=
−
1
2
Step-by-step explanation:
I'm not 100 % sure about my answer
1
What is the y-intercept of a line that has a slope of 4 and passes through point (8, 3)?
3
Ο Ο Ο Ο
11
Answers
Answer:
The slope-intercept form: y = mx + b
m - a slope
b - y-intercept
We have a slope m = 1/4. Substitute: y = 1/4 x + b
We know, the line passes through point (8, 3) → x = 8, y = 3.
Put the values of x and y to the equation of the line:
1/4 · 8 + b = 3
2 + b = 3 |-2
b = 1
Answer: y-intercept is (0, 1)
Step-by-step explanation:
Simplify
69 +39
018
O 81
Answers
Answer:
108
Step-by-step explanation:
Answer:
I don't get it is there more option or something.
Camilla has already baked five pies and she can make one pie with additional cup of sugar she buys how many additional cups of sugar does Camila need in order to bake a total of 49 pies
Answers
I used to know a Camilla, she cheated on me for my brother...pain
Rain minus the \
which of the following is a solution of 3x^2=7x-3
a.) -7(plus or minus) square root of 13 over 6
b.) 7(plus or minus) square root of 85 over 6
c.) -7(plus or minus) square root of 85 over 6
d.) 7(plus or minus) square root of 13 over 6
Answers
When f(n) = 34, what is the value of f(n-6)?
Answers
Answer:
28
Step-by-step explanation:
f(n)=34, f(n-6)=34-6
=28
Please helpppp me. Will give Brainlyist
Answers
Sin = Opposite / Hypotenuse
Cos = Adjacent / Hypotenuse
Tan = Opposite / Adjacent
help :( someone can explain me
Answers
Answer:
B, C, D
Step-by-step explanation:
-2 is 8 spaces away from 6 so do the math for each possible answer and u get B,C,D.
B.
6 - (-2)
6 + 2 = 8
C.
| -2| = 2
6+2 = 8
D.
|-2+6|
2+6 = 8
Pls anserw the pic attached below
Answers
Answer:
[tex]x=38[/tex]
Step-by-step explanation:
[tex]We\ are\ given\ that,\\\angle KLO=134\\\angle OMN= 84\\Hence\ we\ observe\ that,\\\angle KLO\ and\ \angle OLM\ form\ a\ linear\ pair\ and\ hence,\ are\ supplementary.\\Hence,\\\angle KLO\ + \angle OLM=180\\Substituting\ \angle KLO=134,\\134+\angle OLM=180\\\angle OLM=180-134\\\angle OLM=46\\Similarly,[/tex]
[tex]\angle OMN\ and\ \angle OML\ form\ a\ linear\ pair\ and\ hence,\ are\ supplementary.\\Hence,\\\angle OMN\ + \angle OML=180\\Substituting\ \angle OMN=84,\\84+\angle OLM=180\\\angle OLM=180-84\\\angle OLM=96\\[/tex]
[tex]Now\ lets\ consider\ \triangle OML,\\\angle OLM + \angle OML+ \angle LOM=180 [Angle\ Sum\ Property\ Of\ a\ triangle]\\Hence\ substituting\ \angle OLM=46, \angle OML=96, \angle LOM=x\\46+96+x=180\\142+x=180\\x=180-142\\x=38[/tex]
Kyle’s bank statement shows a balance of –$18.50. Which describes the magnitude, or size, of the debt in dollars? –$37.00 –$18.50 $18.50 $37.00
Answers
Answer:C:$18.50
Step-by-step explanation: it shows the main number so it would be c pls correct me if I'm wrong...
Answer:
c
Step-by-step explanation:
Harold cut 18 and a half
inches off a rope that was 60 inches long. How is the length of the remaining rope in inches written in decimal form?
Answers
The length of the remaining rope is 41.5 inches.
What is a word problem?A word problem is a verbal description of a problem situation. It consists of few sentences describing a 'real-life' scenario where a problem needs to be solved by way of a mathematical calculation.
For the given situation,
Harold cut 18 and a half inches off a rope that was 60 inches long.
Let the remaining length of the rope be x.
This can be written as,
⇒ [tex]x=60-18.5[/tex]
⇒ [tex]x=41.5[/tex]
Hence we can conclude that the length of the remaining rope is 41.5 inches.
Learn more about word problems here
brainly.com/question/20594903
#SPJ2
WILL MARK BRAINLEST
Examine the algebra tiles.
Which equation is being modeled?
4x + 3 = 4x + 5
–3x + (–3) = 4x + 5
4x + (–3) = 5x + 4
–3x + 4 = 5x + 4
Answers
Answer:
3rd one
Step-by-step explanation:
Answer:
4x + (–3) = 5x + 4
Step-by-step explanation:
right on edge
How many 5/8 inch binder clips, laid side by side, make a length of 11 1/4 inches?
Answers
Answer:
18
Step-by-step explanation:
Because 5/8×18 is 11 1/4
Answer:
what he said
Step-by-step explanation:
What is the ratio for5to 10
Answers
Answer:
answer would be 1:2
Step-by-step explanation:
you have to find the greatest common divisor of 5 and 10 and you divide 5 and 10 by the greatest common divisor.
The greatest common divisor that you can apply for 5:10 is 5 which means the answer to the ratio of 5:10 is:
1:2
Is this a function?
Answers
Answer:
no
Step-by-step explanation:
Answer:
Step-by-step explanation:
In my opinion I would say No but I could be wrong
which coordinate plane represents the linear relationship 4x + 5y = 20
Answers
Six ice cream bars and four bags of chips cost $13.50. Ten ice cream bars and five bags of chips cost
$20.00. What is the cost for each item sold separately?
Answers
Answer:
For the 6 ice cream bar: $2.25
For the 10 ice cream bar: $4
Step-by-step explanation:
Find the area of the circle.
L2FwcGhvc3RpbmdfcHJvZC9ibG9icy9BRW5CMlVvWTNqOGJuTHdmTnhrVW1kRWx6R2lmOFAtRXRSM21JYmlqbDNRbG94LXJJSzRkRWZoZ0dHZUFHd2IwakFYRFgybm5OSXJqZjM4WWZmN1BjSGJiYllYRVdYazBULVZrUEpvMkc3X3RiQWtJVDBIUGNSdy4yS3dqV1pFWEtsZnZ4X1JZ?w=400&h=400
a
43.86 units squared
b
37.82 units squared
c
28.26 units squared
d
17.72 units squared
Answers
Answer:
C is the answer.
Step-by-step explanation:
Area of circle = [tex]\pi r^2[/tex]
radius = 3
use pi = 3.14
So you have 3.14(3)^2
which equals 28.26 units squared, which is C.
7/4 fraction in lowest term
Answers
I need help pleas I need it please please please free 50 points free 50 pionts
Answers
Answer:
0
Step-by-step explanation:
Answer:
1785
Step-by-step explanation: