Given: ΔABC, AB=12, m∠A=60°,m∠C=45°, AB =8 Find the perimeter of ΔABC
Answers
Answer:
The perimeter of ΔABC is 43 units
Step-by-step explanation:
An illustrative diagram is shown in the attachment below.
To find the perimeter of the triangle, we will first determine the length of the unknown sides.
First, we can determine /BC/ using the Sine rule
From Sine rule
[tex]\frac{SinA}{a} = \frac{SinB}{b} = \frac{SinC}{c}[/tex]
∴ [tex]\frac{SinA}{a} = \frac{SinC}{c}[/tex]
In the diagram, [tex]a = /BC/[/tex] and [tex]c = /AB/ = 12[/tex]
m∠A=60° and m∠C=45°
∴ [tex]\frac{Sin60}{/BC/} = \frac{Sin45}{12}[/tex]
[tex]/BC/ = \frac{12 \times Sin60}{Sin45}[/tex]
[tex]/BC/ = 6\sqrt{6}[/tex]
To find /AC/, will first determine m∠B
m∠A + m∠B + m∠C = 180° (Sum of angles in a triangle)
60° +m∠B + 45° = 180°
m∠B + 105° = 180°
m∠B = 180° - 105°
m∠B = 75°
Also, using the sine rule
[tex]\frac{SinB}{b} = \frac{SinC}{c}[/tex]
From the diagram, [tex]b = /AC/[/tex]
[tex]\frac{Sin75}{/AC/} = \frac{Sin45}{12}[/tex]
[tex]/AC/ = \frac{12 \times Sin75}{Sin45}[/tex]
[tex]/AC/ = 6 + 6\sqrt{3}[/tex]
Now,
The perimeter of ΔABC = /AB/ + /BC/ + /AC/
= [tex]12 + 6\sqrt{6} + 6+6\sqrt{3}[/tex]
= 43.09 units
≅ 43 units
Hence, the perimeter of ΔABC is 43 units.
Answer:
Using the figure above, if AB = RT and ∠R = 70°, then ________.
ΔABC ~ ΔRTS
m ∠ S = 50°
ΔABC ≅ ΔRTS
m ∠ S = 60°
Step-by-step explanation:
Related Questions
Can someone finish this!!! Quickly!!!!
Answers
Answer: A linear function always has a rate of change.
Step-by-step explanation: In the first table, the function is linear since both the x and y values increases by a constant number. Each time the x value increases by 1, the y value increases by 5.
In the second table, the y value does not change by a constant number.
For example, the first time, the y value increases by 6, then it increased by 2, then by 4. This means the second table is non-linear since the rate of change isn't constant.
for what value of the variable the value of the expression 4(5x-8) is 4 more than the value of the expression 2(4-x)
Answers
Answer:
For x=2, the expression 4(5x-8) will be 4 more than the expression 2(4-x)
Step-by-step explanation:
Given expressions are;
4(5x-8) and 2(4-x)
For 4 more than the second expression, we will add 4 with second expression.
4(5x-8) = 2(4-x) + 4
20x - 32 = 8 -2x +4
20x + 2x = 12 + 32
22x = 44
Dividing both sides by 22
[tex]\frac{22x}{22}=\frac{44}{22}\\x=2[/tex]
Hence,
For x=2, the expression 4(5x-8) will be 4 more than the expression 2(4-x)
Solve for y in the equation C = 5x² +y
Answers
Answer:
y=C-5x^2
Step-by-step explanation:
Х-y=5
x-2y=3
Can someone help me
Answers
It will give u:
-X+Y=-5
X-2Y=3 which gives u
y=2
Now, plug in the y (one of the equation it doesn’t matter which one) to solve for X
X-2=5
X=7
Pls help I’ll brainlest pls help
Answers
Answer:
67.31
Step-by-step explanation:
27% of $53 is 14.31
$53+$14.31=$67.31
Answer:
$68.05
Step-by-step explanation:
To find out what the total cost of the meal is, multiply 1.07 by 53 * 1.2. I'd multiply 53 by 1.2 first, then multiply the product of that by 1.07.
(53 * 1.2) * 1.07 (Convert 1.2 into 6/5, and 1.07 into 107/100.)
((53 * 6)/5) * 107/100 (Multiply 53 by 6 to get 318.)
318/5 * 107/100 (Cross cancel if needed.)
159/5 * 107/50 (Multiply 159 by 107 to get 17013.)
17013/(5 * 50) (Multiply 5 by 50 to get 250)
17013/250 (Divide 17013 by 250 to get 68.052)
68.052 (Round to the nearest cent)
The meal costs $68.05 in total.
Simplify the following expression.
-6 + 5 x 2 + 10 x (-2)
Answers
Answer:
= -16
Step-by-step explanation:
You will use the Please Excuse My Dear Aunt Salley method (Paranthesis, mutiplication, division, addition, and subtraction)
-6 +5 x 2 +10 x (-2)
-6 +10 -20 (a positive times a negative equals a negative)
= -16
Step-by-step explanation:
-6 + 5 x 2 + 10 x ( -2 ) PEMDAS
-6 + 10 + -20 Parensthesis, Exponents, Multiplication & Division
4 - 20 left to right, Addition & Subtraction left to right.
-16.
I NEED HELP IMMEDIATELY!!!!
I am doing this for math homework and don't know if these equations are proportional or not!
25 points available!
Answers
Answer: Looks Proportional
Answer:
The first one is proportional but the second one is not proportional
Step-by-step explanation:
Hope this helps!
What is the value of 599 x (400+37)?
Answers
Answer:
261763
Step-by-step explanation:
599*437
=261763
is the relation shown below a function?
Answers
Answer:
No it's not a function, because the domain 20 repeats.
find the value of x for which
З(2^x-3) = 384
Answers
Answer:
x=log2(131)
Step-by-step explanation:
3(2^x-3)=384
x=7.03342
i don't know this question but i have made it by photomath app.
you can get it from playstore
Complete the recursive formula of the arithmetic sequence 12, 10, 8, 6,...12,10,8,6,...12, comma, 10, comma, 8, comma, 6, comma, point, point, point.
b(1)=b(1)=b, left parenthesis, 1, right parenthesis, equals
b(n)=b(n-1)+b(n)=b(n−1)+b, left parenthesis, n, right parenthesis, equals, b, left parenthesis, n, minus, 1, right parenthesis, plus
Answers
Complete Question:
Complete the recursive formula of the arithmetic sequence 12, 10, 8, 6, ....
[tex]b_1 = [\ ][/tex]
[tex]b_n = b_{n - 1} + [\ ][/tex]
Answer:
[tex]b_1 = 12[/tex]
[tex]b_n = b_{n-1} - 2[/tex]
Step-by-step explanation:
Required
Complete:
[tex]b_1 = [\ ][/tex]
[tex]b_n = b_{n - 1} + [\ ][/tex]
From the question, the first term is 12.
So:
[tex]b_1 = 12[/tex]
Solving further:
[tex]b_2 = 10 = 12 - 2 = b_1 - 2[/tex]
[tex]b_3 = 8 = 10 - 2 = b_2 - 2[/tex]
[tex]b_4 = 6 = 8 - 2 = b_3 - 2[/tex]
Following the above sequence:
[tex]b_n[/tex] can then be calculated as
[tex]b_n = b_{n-1} - 2[/tex]
What is the reason that absolute value is always written as a positive?
Absolute Value is talking about numbers so it must be positive
Absolute Value is like a clock it has only positive numbers
Absolute value does not always have to be positive
Absolute value is talking about distance (Distance from zero); distance is always
measured by positive numbers.
Answers
Answer:
Absolute value is talking about distance (Distance from zero); distance is always measured by positive numbers.
if three distinct numbers have a sum of 10 and a product of 20, what is their median
Answers
Answer:
gfdsgfds
Step-by-step explanation:
fdgdsf
i givvvveeeee brainlilsttttttt
Answers
Answer:
thanks
Step-by-step explanation:
your welcome
12p+ 15 - 13 - 12p
And show me how you got the answer
Answers
Answer:
2
Step-by-step explanation:
According to me, you would just have to combine like terms and simplify them as much as possible.
12p + 15 - 13 - 12p
12p - 12p + 15 - 13
0 + 15 - 13
0 + 2
2
Hope this helps :D
Please answer this correctly without making mistakes
Answers
Answer:
5 tons and 8 pounds
Step-by-step explanation:
1 ton is equal to 2000 pounds.
40 tons is equal to 80000 pounds (40*2000)
80000+64=80064
80064/8 = 10008
10008 is equal to 10000+8
10000/2000 = 5
5 tons and the leftover 8 is pounds
Hope I was able to help! Good Luck!
i can you help me build the equation
i can graph it though :)
Answers
Answer:
x + 5y ≤ 30
Step-by-step explanation:
Divide 2.875x10^6by2.3x10^3
Answers
Answer:
1875L = 1.875x10^6 mL
multiply by density to get 2.14x10^6
multiply by percentage to get 6.63x10^4 g of NaCl (66.3 kg)
Step-by-step explanation:
The combined of a pair of congruent rectangles can be represented in square units by the expression 18y^2 - 8
Answers
Answer:
2(3y+2)(3y−2)
Step-by-step explanation:
A solution set always includes
A
all the numbers that make the inequality false.
B
all the numbers that make the inequality true.
zero and infinity.
D
negative infinity
Answers
Answer:
B, all the numbers make the inequality true:).
Step-by-step explanation:
It takes Chris 6.5 hours to drive 455 miles. If he travels at the same rate, how long will it take him to drive 2100 miles?
Answers
Create a dot plot for the given set of data.
1 2 2 3 3 4 4 4 4 5 5
5 5 6 6 6 6 7 7 8 8 8
Answers
hope this helps. let me know if you can see what i have attached.
The box- plot is attached below.
What is dot- plot?Data points are represented as dots on a graph with an x- axis and y-axis in a dot plot, sometimes referred to as a strip plot or dot chart, which is a straightforward type of data visualisation. These kinds of graphs are employed to visually represent particular data trends or groupings.
Given:
1 2 2 3 3 4 4 4 4 5 5
5 5 6 6 6 6 7 7 8 8 8
Now, 1 Appears 1 time
2 Appears 2 time
3 Appears 2 time
4 Appears 4 time
5 Appears 4 time
6 Appears 4 time
7 Appears 2 time
8 Appears 3 time
Learn more about dot- plot here:
https://brainly.com/question/22746300
#SPJ2
4x +4< 9x +8 Reduce any fraction to the lowest term don’t know your number and don’t use mixed fraction
Answers
Answer:
x < - 4/5
Step-by-step explanation:
Given the inequality:
4x +4< 9x +8
Collect like terms :
4x - 9x < 8 - 4
-5x < 4
Divide both sides by - 5
-5x / - 5 < 4 / - 5
x < - 4/5
Pls help I need a good grade
Answers
Answer:
y=3/2x
Step-by-step explanation:
Slope is 3/2 and starts at the origin.
Juniors will be hosting prom this year. They will need to make at least $ 4000 in profits from selling tickets. The juniors estimate there can be at most 600 students that can attend prom because of the size of the venue. They will profit $ 20 for each ticket sold in advance and $ 40 for each ticket sold at the door. Name your variables, and write a system of inequalities.
Answers
Explanation : ?
Is this a function ?
Answers
What is the slope of a line that is perpendicular to the line with equation 12x+3y=9?
Answers
Answer:
The slope would be 1/4.
Step-by-step explanation:
To find the perpendicular slope first you have to set this equation to y
to do this you use the subtraction prop of equality and you will get 12x-9= -3y
then you divide by -3 on both sides to get y by itself
you will get -4x+3=y
now that you know the slope is -4, you must find the negative reciprocal slope of this which means you have to flip the numerator and denominator and make the sign its opposite.
The perpendicular slope would then be 1/4.
what equation is used to find the vertex form of a parabola with the vertex (h, k)?
Answers
Answer:
y=a[tex](x-h)^{2}[/tex]+h
Step-by-step explanation:
equation for vertex form of a parabola is,
y=a[tex](x-h)^{2}[/tex]+h
Answer:
y=a+h
Step-by-step explanation:
A submarine spots a speedboat on the
surface of the water at a 42° angle of
elevation. The sub and the boat are
separated by a straight line distance of
35 feet. How far beneath the surface is
the submarine traveling?
Answers
Answer:
Ships A and B are 1,425 feet apart and detect a submarine below them. The angle of depression from ship A to the submarine is 59°, and the angle of depression from ship B to the submarine is 47°.
How far away is the submarine from the two ships? Round to the nearest hundredth of a foot.
The distance from ship A to the submarine is about
feet.
The distance from ship B to the submarine is about
feet.
Step-by-step explanation: answer this and ill answer yours.
Solve and Simplify if you can
Alexa is baking a cake. She uses 2 3/4 cups of flour for her recipe. She decides to double her recipe. How many cups of flour will see need?
Answers
Answer:
5 1/2 cups
Step-by-step explanation:
2.75 times 2