The area of triangle IJK is 999.8 square centimeters
The given parameters are:
[tex]\angle I = 120^o[/tex]
[tex]\angle J = 59^o[/tex]
[tex]i = 340cm[/tex]
Start by calculating the length of side j using the following sine ratio
[tex]\frac{i}{\sin(I)} = \frac{j}{\sin(J)}[/tex]
Make j the subject of the formula
[tex]j = \sin(J) \times \frac{i}{\sin(I)}[/tex]
Substitute known values
[tex]j = \sin(59) \times \frac{340}{\sin(120)}[/tex]
Evaluate the expression
[tex]j = 337[/tex]
Next, calculate angle K using the following sum of angles formula
[tex]\angle I + \angle J + \angle K =180[/tex]
Substitute known values
[tex]120 + 59 + \angle K =180[/tex]
[tex]179 + \angle K =180[/tex]
Subtract 179 from both sides
[tex]\angle K =1[/tex]
The area of the triangle is:
[tex]Area = \frac{1}{2} ij \times \sin(K)[/tex]
So, we have:
[tex]Area = \frac{1}{2} \times 340 \times 337 \times \sin(1)[/tex]
Evaluate
[tex]Area = 999.8[/tex]
Hence, the area of triangle IJK is 999.8 square centimeters
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. Frosty Snacks sells ice cream in a cylindrical cup and in cones.
The small cup of ice cream has a height of 4 inches and a radius
of 2 inches. The small cone has a height of 6 inches and a
diameter of 5 inches. How much more ice cream will fit into a
small cup than a small cone? Use 3.14 for pi.
Answer:
10.99 in^3
Step-by-step explanation:
Steps to determining the answer
determine the volume of the cylinderdetermine the volume of the conefind the difference in volumesvolume of a cylinder = nr^2h
n = 3.14
r = radius
3.14 x 4 x 2² = 50.24 in³
Volume of a cone 1/3(nr^2h)
n = 22/7
r = radius
A radius is half of the diameter = 5/2 = 2.5 in
h = height
(1/3) x 3.14 x 2.5² x 6 = 39.25 in³
difference = 50.24 - 39.25 = 10.99 in³
what is the slope of a line that passes through (2, -5 ) and (6, -2 )
Answer:
3/4
Step-by-step explanation:
-2-(-5) divided into 6-2
-2 +5 divided into 4
3 divided into 4
Answer:
Answer:
3/4
Step-by-step explanation:
-2-(-5) divided into 6-2
-2 +5 divided into 4
3 divided into 4
Step-by-step explanation:
A straight line L is perpendicular to line 3x-2y+4=0. The area of triangle formed by the line L and coordinate axes is 27 sq.unit find equation of line L
Your condominium mortgage payments are $736.90 per month. You pay $35.80 for PMI and $100 for HOA fees each month. What are your monthly fixed condominium expenses?
which shows the equation y= -1/2x + 5 written standard form ?
x + 2y= 10
x - 2y=10
x+ 2y=-10
x+2y=-10
x - 2y = 10
Answer:
x + 2y = 10
Step-by-step explanation:
[tex]y = - \frac{1}{2} x + 5 \\ \\ 2y = - x + 10 \\ \\ x + 2y = 10[/tex]
Given the figure below, find the value of x and y. Thank you!
What is the measure of angle z in this picture?
Answer:
z = 137 degrees
Step-by-step explanation:
Angle 43 and angle z make a straight line, which is 180 degrees
43+z = 180
Subtract 43 from each side
43+z-43 = 180-43
z =137
What value could you write in the blank after 3x that would make the equation true for:
3x + 8 = 3x + Write your response for each question below and be sure to identify which solution type you are answering about. For
example, rewrite No values: then write your response for what goes in the blank only.
1. No values?
2. All values/infinitely many?
3. One value?
Answer:
3 One value?
Step-by-step explanation:
hope this helps and please mark me branlyest
When you find one more
than a number, only the
ones digit will change.
Can you give some examples please?
Answer:
15
Step-by-step explanation:
What is the volume of this square pyramid?
Answer:
400m^3
Step-by-step explanation:
Answer: [tex]400m^{2}[/tex]
Step-by-step explanation:
In order to solve this square pyramid's volume, we use the formula:
V = 1/3(B)(h)
Now, we plug in what we know. Since it has a square base, the sides of the base are all the same:
1/3(10*10)(12)
Now we solve:
1/3(100)(12)
1/3(1200)
400
PLEASE HELPansnnshejsebiednejdndhdndjbdrurndirnfjg
Answer:
C. Point S
Step-by-step explanation:
Maria needs to be at the airport terminal at 12:10. it will take 2 and 1/2 hours to drive to the airport from her home, and a further 20 minutes to park and get to terminal. give your answer as a time in the 24 hour clock
Answer:
Maria needs to start at 9:20 in order to make it to the terminal.
Step-by-step explanation:
2:30 + 0:20 = 2:50. 12:10 - 2:50 = 9:20.
3h+4> 13
I will give Brainly
Answer:
h > 3
Step-by-step explanation:
3h+4>13
3h+4-4>13-4 (subtract 4 from both sides)
3h>9 (divide both sides by 3)
h>3
HELP ME giving brainlest
Answer:
The answer is false.
Step-by-step explanation:
THE reason why it is false is because if so that wouldnt make any sense.
Lila covered 55 ft squared of her back yard with 3/4 of a load of sod. She has 3 loads of sod in all. If she wants to cover all 250 ft squared of her yard, does she have enough sod?
Answer:
More sod is needed
Step-by-step explanation:
Well we know that 3/4 of a bag of sod covers 55 ft^2 then if we divide 55 by 3 we get 18.3333 we take that and multiply by 4 to get 73.333 or the amount one bag of sod can cover
73.333*3 cuz 3 bags of sod is 220 ft^2
She needs more sod
a circle with diameter 6.2 in.
Answer:
18.84
Step-by-step explanation:
use a calculator if not use - 3.141
Part A: If Angle A and Angle B are vertical angles, what is value of x
A. 8
B. 10
C. 35
D. 28
Answer:
A. 8
Step-by-step explanation:
Since ∠A and ∠B are vertical, we can create the equation: 40 = 5x.
40 = 5x
There is only one other thing we need to do, and that's divide by 5.
40/5 = x
x = 8
The value of x in this case is 8, which is A.
Kayden earn a total of $10 for two hours yard work. After doing a total of three hours of yardwork, how much money will Kayden have earned? Assuming relationship in directly proportional
Answer: $15
Step-by-step explanation:
Half of $10 would be $5 so 3 hrs would be $15?
Answer:
15, 10 divided by 2 is 5 + 10 from the 2 hours. also mans is getting underpaid
Step-by-step explanation:
factor 2^2 - 23x + 11
Answer:
15-23x
Step-by-step explanation:
If a cone has a height of 8 inches and a side measurement of 10 inches, what is the radius of its base?
Answer:
The radius of its base is 6 inches
Step-by-step explanation:
The radius of the base of a cone r , the slant height of the cone l and the height of the cone h forms a right triangle, with the slant height being the hypotenuse of the right triangle
Mathematically, since we have a right triangle, we can find the radius of the base by the use of Pythagoras’ theorem
According to Pythagoras’ theorem; the square of the hypotenuse equals the sum of the squares of the two other sides
Thus,
l^2 = r^2 + h^2
l = 10 inches
r = ?
h = 8 inches
10^2 = r^2 + 8^2
100 = r^2 + 64
r^2 = 100-64
r^2 = 36
r = √(36)
r = 6 inches
Maria went shopping at Macy's. She bought a pair of slacks that were on sale for 15%. The original price was $40.00 dollars. She bought a shirt that was on sale for 14% off the original price of $30.00. She had to pay a tax of 6.79%. What was the total amount of her sale?
Answer:
3.27
Step-by-step explanation:
Solve the equation. 36^6x-1 = 6^5x
Write in logarithmic form.
1/8 = 2-^3
please, please help!!! and show work if possible!! tysm :)))
Answer:
everything on the right multiplied by 3 is congruent to the one on the left. they are the same except one triangle is bigger
can someone help me w these questions? PLEASE
Answer:
Step-by-step explanation:
Which fractions have a LCD of 30?
A. 3/4, 1/7, and 1/6
B. 2/3, 1/5, and 1/5
C. 2/15, 1/4, and 1/3
D. 2/3, 1/6, and 1/5
Answer:
D. 2/3 1/6 1/5
Step-by-step explanation:
Answer:
Explanation:
Find the cosine of ZS.
37
S
T T
12
35
R
Simplify your answer and write it as a proper
fraction, improper fraction, or whole number.
COS (S) =
Geometry
Step-by-step explanation:
cos=adj/hyp cos=12/37=cos-1 0.324=71.09°
What's the value of
[tex] \sqrt{25 \times 25 \times 2 \times 2} [/tex]
Answer:
[tex] \sqrt{25 \times 25 \times 2 \times 2} \\ 25 \times 2 \\ = 50[/tex]
What does it mean if (3, 2) is a solution of
{
y = x - 1
y = -x + 5
?
(x,y) = (3,2)
y = x - 1
2 = 3 - 1
2 = 2
y = -x + 5
2 = -3 + 5
2 = 2
If (3, 2) is a solution of the system y = x - 1 and y = - x + 5 then the ordered pair (3, 2) satisfies both equations simultaneously.
What is the graphical solution of a system of equations?Graphical solutions of a system of equations are way of finding the intersection points of all the equations given.
A system with two or more than two equations has a solution only when they have a common intersection point.
Given, The system of equation y = x - 1 and y = - x + 5 has a
solution (3, 2).
If the ordered pair (3, 2) is a solution of both equations this implies that this ordered pair satisfies both equations simultaneously.
For,
y = x - 1.
At, x = 3,
y = 3 - 1
y = 2 (satisfied).
For,
y = - x + 5.
At, x = 3,
y - 3 + 2.
= 2 (satisfied).
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3x^3+20x^2-21x+88 divided (x+8) using long division
Answer:
3 x 4 + 44 x 3 + 139 x 2 − 168 x + 88 /x + 8
Step-by-step explanation: