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
Read more about areas at:
https://brainly.com/question/2391510
-1/2(-3y+10) combing like terms
Answer:
3/2y - 5
Step-by-step explanation:
The vertex of this parabola is at (-5, 4). Which of the following could be its
equation?
(-5, 4)
A. y* -(x + 5)2 - 4
B. y = -(x - 5)2 - 4
C. y = -(x - 5)2 + 4
D. y = -(x + 5)2 + 4
Answer:
D
Step-by-step explanation:
Because the x-coordinate of the vertex is negative, only A or D could be the correct equation for this parabola. D is correct because its constant (4) matches the y-coordinate of the vertex (-5, 4).
Answer:
y = -(x + 5)2 + 4
Step-by-step explanation:
help?? lols ,,
will mark brainliest, i guess
Answer:
-80x + 28y - 56
4(-20x + 7y - 14)
Various types of doctors attended a large medical conference. Someone leading a session asked the 30
doctors in attendance how many years of experience they each had. The 15 dermatologists at the session
had an average of 8 years of experience.
For which population is 8 years a legitimate estimate of the average experience?
Choose 1 answer:
The dermatologists at that session only
B
All doctors at that session only
С
All dermatologists at that conference only
All doctors at that conference only
Answer: The dermatologists at that session only
Step-by-step explanation:
It was on a Khan Academy practice.
If the mean of this distribution is 13.7, which could NOT be the median
A.9
B.14
C.16
D.18
Answer:
A
Step-by-step explanation:
Mark as brainllest
Answer:
A
Step-by-step explanation:
give fitzroywilliamsjr6 Brainllest plz
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).
learn more about the system of equations here :
https://brainly.com/question/19549073
#SPJ5
69 min equals how many hours and min
Answer:
One hour and nine minutes
Step-by-step explanation:
This pattern follows the rule multiply by 2. What other feature do you observe? 4, 8, 16, 32, 64, 128
Answer:
rule multiply of 4
Step-by-step explanation:
beacause 4×1=4
4×2=8
4×4=16
4×8=32
4×16=64
4×32=128
that's all I know
PLS HELP ME I WILL GIVE BRAIN THINGY
Write an EQUATION that represents what is seen in the figure.
Step-by-step explanation:
x°+55°+40°=180°
x=180-95
×=85°Please help I got the answer wrong-
Answer:
[tex]x {}^{2} = 150[/tex]
Step-by-step explanation:
What I did was
[tex]5 \times 5 = 25[/tex]
then I did
[tex]5 \times 5 = 25 \times 5 = 150[/tex]
and I'm hoping 150 is the answer. HOPE THIS HELPED
Select all the expressions that equal 6-10 Write out each solution.
A. 65 6²
5
B.
C. (6)
63
D.
67
E.
Answer:
i think c and e and d (im sorry if its wrong)
HELP ME W/ MY HW
PLZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZz
Answer:
7238.23
Step-by-step explanation:
Find the value of x by finishing solving the system shown below.
Answer:
x = 10
Step-by-step explanation:
Since both equations give y in terms of x, equate the right sides
3x - 28 = - 2x + 22 ( add 2x to both sides )
5x - 28 = 22 ( add 28 to both sides )
5x = 50 ( divide both sides by 5 )
x = 10
Find the volume of this composite figure.
[?] cubic centimeters
2 cm
2 cm
2 cm
2 cm
5 cm
5 cm
11 cm
Answer:291
Step-by-step explanation:
Whereas the basic formula for the area of a rectangular shape is length × width, the basic formula for volume is length × width × height.
hoped this helped.
What is the distance between point B and point C?
A 2.1 units B 4.1 units
C 8.6 units
Answer:
Your answer is B
Step-by-step explanation:
Count down 4 points from B on the graph and count 1 over until you reach C which is down 4 over 1
Ms. Trevino has 7 1/2 yards of string, She needs to cut them into strips, and each strip needs to be 1 1/2 yards in length. How many strips of string can she cut with 7 1/2 yards?
Answer:
[tex]N_t=6.455\ yards[/tex]
Step-by-step explanation:
From the question we are told that:
Total String [tex]N=71/2[/tex]
Strip size [tex]N_s=11/2[/tex]
Generally the equation for Total Number of strip cut [tex]N_t[/tex] is mathematically given by
[tex]N_t=\frac{N}{N_s}[/tex]
Therefore the strips of string can she cut with 7 1/2 yards is Given as
[tex]N_t=\frac{71/2}{11/2}[/tex]
[tex]N_t=\frac{71}{2}*\frac{2}{11}[/tex]
[tex]N_t=\frac{71}{11}[/tex]
[tex]N_t=6.455\ yards[/tex]
How to simpfly fractions?
-Step by step
-Answer 15/36
Answer:
5/12
Step-by-step explanation:
15÷3/36 ÷3
the answer is 5/12
Answer:
5/12
Step-by-step explanation:
15/36 ÷ 3
5/12
mark mope brainliest
Solve the following system by graphing.
y = x^2+ 3x + 5
y = -x + 2
Answer:
[tex]y = ( - 3)^{2} + 3 \times ( - 3) + 5 \\ y = 5 \\ (x.y) = ( - 3.5)[/tex]
brainyliest pls
G. 9−7+{−2+3−[4−2+(3+2)−7]+8} h. – {- [ (14 - 7) - (32 - 41)]} i. – [(-8 + 3) + (- 21 – 12)] j. 500 – {( 6 – 18 + 4 + 3 + 16 - 10 – 2) – 5 } k. (9 + 7 – 2 + 4) – ( 9 -12 )
Answer:
g. 9−7+{−2+3−[4−2+(3+2)−7]+8} = 11
h. – {- [ (14 - 7) - (32 - 41)]} = + 16
i. – [(-8 + 3) + (- 21 – 12)] = + 38
j. 500 – {( 6 – 18 + 4 + 3 + 16 - 10 – 2) – 5 } = 506
k. (9 + 7 – 2 + 4) – ( 9 -12 ) =21
Step-by-step explanation:
These questions are solved by solving the small brackets, then square brackets and then the curly brackets.
g. 9−7+{−2+3−[4−2+(3+2)−7]+8}
= 9−7+{−2+3−[4−2+(5)−7]+8} Solving inner small brackets
= 9−7+{−2+3−[9−2−7]+8} Solving outer square brackets
= 9−7+{−2+3−0 +8} Solving curly brackets
=9−7+{9} Adding like terms ( adding positive terms)
= 18-7
= 11
h. – {- [ (14 - 7) - (32 - 41)]}
= – {- [ (14 - 7) - (-9)]} Solving inner small brackets
= – {- [ (7) +9]} Solving inner small brackets
= – {- [ 16 ]} Solving outer square brackets
= – {- 16 } Solving curly brackets
= + 16 (-*-= +)
i. – [(-8 + 3) + (- 21 – 12)]
= – [(-8 + 3) + (- 33)] Solving inner small brackets
= – [(-5 - 33)] Solving inner small brackets
=– [( - 38 )] Solving outer square brackets
= + 38 (-*-= +)
j. 500 – {( 6 – 18 + 4 + 3 + 16 - 10 – 2) – 5 }
= 500 – {( 6 + 4 + 3 + 16 – 18 -10 – 2) – 5 } Solving inner small brackets
= 500 – {( 29 – 30) – 5 } Solving inner small brackets
= 500 – {( – 1) – 5 } Solving inner small brackets
= 500 – { – 6} Solving curly brackets
= 500 + 6 (-*-= +)
= 506
k. (9 + 7 – 2 + 4) – ( 9 -12 )
= (9 + 7 + 4– 2 ) – ( -3 ) Solving inner small brackets
= (20 – 2 ) – ( -3 ) Solving inner small brackets
= (18 ) – ( -3 ) (-*-= +)
= 18 +3
=21
Find the value of x in the triangle shown below.
C =
56
31
x
HELP! I NEED HELP ASAP
Step-by-step explanation:
yes the 10' wave is the outlier
Answer:
The correct option is .The 10 foot wave is an outlier.
Step-by-step explanation:
In figure find the value of x triangle PQR
20 POINTSSSS
Answer:
Divide
Step-by-step explanation:
Someone is the age of 550 more than (97x90)+(2+0)+(1x4)+(9+14). How old is he?
Answer:
9,309
Step-by-step explanation:
550 + (8,730) + 2 + 4 + (23)
= 550 + 8,730 + 2 + 4 + 23
= 9,309
If you answer I will mark you Brainliest!
Answer:
divide the figure into two parts.
area of triangle = 1/2×base×height
area of triangle = 1/2×3×3
area pf triangle = 4.5 units²
area of square = side²
area of square = 3²
area of square = 9unit²
Answer:
The figure is made up of a square and a triangle.
We will find both of their areas separately and then combining them will give us the required area.
Area of the triangle : ½ × base × height
= ½ × 3 × 3
= ½ × 9
= 4.5 units²
Area of the square : (side)²
= 3²
= 9 units²
Now, required area = (4.5 + 9) units²
= 13.5 units²
Please help no links
Answer:
x=5 y=-6
Step-by-step explanation:
3x+y=9 ------eqn1
y=4-2x -------eqn2
using substitution
put y=4-2x into eqn1
3x+4-2x=9
x=5
put x=5 into eqn2
y=4-2(5)
y=4-10
y=-6
Ms. Thompson is baking bread. The recipe calls for 6.5 cups of flour. She has already put in 2 cups.
How many more cups does she need to put in?
Answer:
4.5 cups flour
Step-by-step explanation:
6.5 - 2 = 4.5
Help me ASAP!!!!!
See pic attached
Answer:
PQ ≈ 10.6 cm
Step-by-step explanation:
Calculate the distance d using the distance formula
d = [tex]\sqrt{(x_{2}-x_{1})^2+(y_{2}-y_{1})^2 }[/tex]
with (x₁, y₁ ) = P(3, - 1) and (x₂, y₂ ) = Q(- 5, 6)
PQ = [tex]\sqrt{(-5-3)^2+(6+1)^2}[/tex]
= [tex]\sqrt{(-8)^2+7^2}[/tex]
= [tex]\sqrt{64+49}[/tex]
= [tex]\sqrt{113}[/tex]
≈ 10.6 ( to 1 dec. place )
1. Tell me if each of the following is True or False A. Angles EOD and DOC are Vertical Angles. B. Angles FOD and Angle DOC are adjacent C. Angles FOD and AOC are equal D. The sum of the measurements of Angles of AOC and BOC and equal to FOD E. FOE and DOD are completely Angles F. Angles FOA, AOB, and AOC are Supplementary Angles
Answer:
Do you have any Images?
Step-by-step explanation:
Answer:
I don't get it.
Step-by-step explanation:
Pls answer and explain
Answer:
13364 cm³
Step-by-step explanation:
Lets Find the area of the trapezoidal face
Base 1 = 15
Base 2 = 37
Height = 25.7
Formula for area of trapezoid
(b1+b2)h/2
Lets Input
(15+37)25.7/2
1336.4/2 = 668.2
Now lets multiply by 20, or the length
668.2 x 20 = 13364
Note we could have saved time by multiplying 1336.4 x 10 because 20/2 = 10
If my answer is incorrect, pls correct me!
If you like my answer and explanation, mark me as brainliest!
-Chetan K