Answer:
Area of the shaded region = 1.92 cm²
Step-by-step explanation:
Area of the shaded region = Area of sector OMN - Area of isosceles triangle OMN
Drop a perpendicular OP from vertex O to opposite side MN.
Perpendicular OP will bisect angle MON.
m∠MOP = 25°
By cosine ratio in triangle OPN,
cos(25°) = [tex]\frac{OP}{ON}[/tex]
OP = ON.cos(25°)
OP = 6cos(25°)
OP = 5.438 cm
By sine ratio of angle PON,
sin(25) = [tex]\frac{PN}{ON}[/tex]
PN = ON.sin(25)
= 6sin(25°)
= 2.536 cm
Since, MN = 2(PN)
MN = 5.071 cm
Area of ΔOMN = [tex]\frac{1}{2}(OP)(MN)[/tex]
= [tex]\frac{1}{2}(5.438)(5.071)[/tex]
= 13.788 cm²
Area of sector OMN = [tex]\frac{\theta}{360}(\pi r^{2})[/tex]
Here 'θ' is the angle subtended by the arc MN at the center.
Area of sector OMN = [tex]\frac{50}{360}(\pi )(6^{2})[/tex]
= 15.708 cm²
Area of the shaded region = 15.708 - 13.788
= 1.92
≈ 1.92 cm²
Answer:
Area of the shaded region = Area of sector OMN - Area of isosceles triangle OMN
Drop a perpendicular OP from vertex O to opposite side MN.
Perpendicular OP will bisect angle MON.
m∠MOP = 25°
By cosine ratio in triangle OPN,
cos(25°) = \frac{OP}{ON}ONOP
OP = ON.cos(25°)
OP = 6cos(25°)
OP = 5.438 cm
By sine ratio of angle PON,
sin(25) = \frac{PN}{ON}ONPN
PN = ON.sin(25)
= 6sin(25°)
= 2.536 cm
Since, MN = 2(PN)
MN = 5.071 cm
Area of ΔOMN = \frac{1}{2}(OP)(MN)21(OP)(MN)
= \frac{1}{2}(5.438)(5.071)21(5.438)(5.071)
= 13.788 cm²
Area of sector OMN = \frac{\theta}{360}(\pi r^{2})360θ(πr2)
Here 'θ' is the angle subtended by the arc MN at the center.
Area of sector OMN = \frac{50}{360}(\pi )(6^{2})36050(π)(62)
= 15.708 cm²
Area of the shaded region = 15.708 - 13.788
= 1.92
≈ 1.92 cm²
please help! (URGENT)
CAN SOMEONE HELP ME PLEASEEE
Answer:
a. 45 degrees
b. 315 degrees
c. 8π
d. π
e. 7π
f. 16π
g. 2π
PLEASE HELP ME ASAP?!?
Find the length of the missing side. Simplify all radicals.
Answer:
22.47
22.5 (simplified)
Step-by-step explanation:
22.47 = √(8^2 + 21^2)
Can you help me find the value of x is.
a. 132
b. 200
c. 228
d. 256
Answer:
C
Step-by-step explanation:
C
6x -4=-4+6x
can i get some help with this question
Answer:
infinite solutions
Step-by-step explanation:
At first, we try to isolate the x, but adding 4 to -4 on both sides. Both sides have a -4 so it cancels out on both sides of the equation. Similarly, both sides also have a positve 6x, so when we subtract 6x from 6x we get 0. After simplification, we get x = x; x can be any number [ex. 1=1, 2=2, 3=3,etc.], therefore any number can fit into this equation
6x - 4 = -4 + 6x
6x - 4 + 4 = -4 + 4 +6x
6x = 6x
x = x
Answer:
infinite solutions
Step-by-step explanation:
Need help please!!!!!!
Answer:
x = 13.75
Step-by-step explanation:
(4x + 5) - 10 = 50
4x + 5 - 10 = 50
4x - 5 = 50
4x = 50 + 5
4x = 55
x = 55/4
x = 13.75
will give brainlist
the question is: the endpoints of line segment AR are A(8,-2) and R(-4,1)? round your answer to the nearest tenth
Answer:
The answer is 12.4.
Step-by-step explanation:
The exact distance would be 3 rooted to 17 but the decimal is 12.4.
I used my graphing calculator so i can't explain much :))
Hope this helps:))
PLEASE HELP! WILL MARK BRANLIEST
A university has 34,590 students. In a random sample of 165 students, 11 speak three or more languages. Predict the number of students at the university who speak three or more languages.
The expected number of students at the university who speak three or more languages is____
If M, N, and O are midpoints of JKL, find LJ.
Answer:
the answer is 12
Step-by-step explanation:
edg 2021
The length of the side LJ of triangle ΔJKL can be obtained as 12 units. The correct option is (C).
What is a triangle?A triangle is a two dimensional shape bound by three sides. The sum of the interior angles of a triangle is 180°. The longest side of a triangle is always less than the sum of other two sides.
As per the given question, O is the midpoint of LK.
Then, LO = OK.
The equation can be written as,
⇒ 2x = x + 8
⇒ x = 8
Then, NJ = 8 - 2 = 6
Since, N is also the midpoint of LJ.
LJ = 2 × NJ
⇒ LJ = 2 × 6 = 12.
Hence, the length of the side LJ can be found as 12 units.
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Sandra is buying new carpet for the floors of her house. The cost depends on the area of the floors. Which is the dependent variable, and which is the independent variable?
A. The dependent variable is the cost, and the independent variable is the area of the floors.
B. The dependent variable is the number of walls in the house, and the independent variable is the cost.
C. The dependent variable is the cost, and the independent variable is the number of walls in the house.
D. The dependent variable is the area of the floors, and the independent variable is the cost.
Answer:
A.The dependent variable is the cost, and the independent variable is the area of the floors.
Step-by-step explanation:
Because I had a quiz with the same question and got it right, and because the paragraph says "The cost depends on the area of the floors."
Answer:
A.
Step-by-step explanation:
"The cost depends on the area of the floors"
The independent variable is the cause and the dependent variable is the effect. Took the test.
What is the area of this parallelogram?
28 m²
56 m²
84 m²
120 m²
Answer:
84 m squared
Step-by-step explanation:
Answer:
84 m²
Step-by-step explanation:
Area of parallelogram = (4 + 8)* 7 = 12*7 = 84 Sq m
hello please anyone answer that 9/20=.......%
Question/Equation:
9/20=__%
Answer/Steps to answer:
1. For the denominator, recognize that 20×5=100.
Multiple = 55
2. Multiply both the numerator and denominator by the multiple 5.
9×5/20×5
3. Simplify.
45/100
4. Simplify.
45% (0.45 Is Decimal Form)
Done by NeighborhoodDealer
Find the slope and y-intercept of the line.
4)
m=
b=
Answer:
m=y = 2x + 4.
y intercept is 4
Step-by-step explanation:
Ben buys packs of golf balls with his new golf club. Write an expression for this
situation if the golf club is $45 and the packs of golf balls are $4 per pack.
Remember, we do not know how many packs of golf balls he purchased.
Expression:
Answer:
4x + 45
______
Solve this quadratic equation using the quadratic formula.
(3- y)(y + 4) =3y -5
Answer:
y=-(2±√21)
Step-by-step explanation:
Answer:
y=-6.5
Step-by-step explanation:
the ratio is 3:1 how many parts are there
Solve Using Substitution
-9x + 6y = 18
y = -6
Answer:
the answer should be x = -6
Step-by-step explanation:
-9x + 6y = 18
-9x + 6(-6) = 18
-9x - 36 = 18
-9x - 36 + 36 = 18 + 36
-9x = 54
-9x ÷ -9 = 54 ÷ -9
x = -6
A bag is filled with green and blue marbles. There are 43 marbles in the bag. If there are 7 more green
marbles than blue marbles, find the number of green marbles and the number of blue marbles in the bag.
Equation (use x as your variable):
The number of blue marbles is:____
The number of green marbles is:____
Answer:
Blue marbles: 18
Green marbles: 25
Step-by-step explanation:
First off, we have to define our variables.
g = # of green marbles
b = # of blue marbles
We know two equations:
g + b = 43 and g = b + 7
If you're wondering how I got the first equation, it was because the number of green and blue marbles is 43. For the second equation, we know that there are 7 more green marbles than blue marbles.
Now, we have an equation for the number of green marbles. We can plug that equation into the equation g + b = 43.
So, (b + 7) + b = 43.
When we simplify it, we get 2b + 7 = 43.
We subtract 7 from both sides, which gets us 2b = 36.
Now, b = 36/2.
b = 18.
So, we found out the number of blue marbles that we have. We know that g + b = 43. Now, all we have to do is plug in the number of blue marbles into that equation to find out the number of green marbles.
g + 18 = 43.
g = 43 - 18.
g = 25.
Thus, the number of green marbles we have is 25 and the number of blue marbles is 18.
help me please I am very confused T-T
Answer:
x=31
Step-by-step explanation:
that is an example of suplementary angles meaning that they will add up to equal 180
180-149=31
x=31
pLz, help I really don't understand these problems at all.
Click here to see the screenshot
Answer:
1. You should use subtraction (20-12.68=7.32)
2. You should use multiplication
3. You need to know 5 boxes and $5.29
4. You need to know 10 packages and 2 cases
Step-by-step explanation:
I hope this helpss!!
what is the value of y?
Answer:
g. 8[tex]\sqrt{2}[/tex]
Step-by-step explanation:
since it's a 45 45 90 triangle, both the legs are the same (8) and the hypotenuse(y) would be 8 rad 2 :)
Given that ABCD is a parallelogram with diagonals intersecting at M. Segment PQ is drawn such that P lies on AB and Q lies on DC and it passes through M. Prove that PM is congruent to QM.
Answer:
we thus have enough informnation to prove that the two triangles are congruent. Because of thism, one side of the triangles, Pm which is the congruent side to that of PQ must be equal as well and
PM = QM
Step-by-step explanation:
because it's a parrallelogram, Ad = BC and AB = DC.
P passes through both AB and DC on a diagonal, angles created by P have oppoiste exterior angles of eachother.
the diagonals of AC create congruent angles at DMC and AMB and because P is cutting through them, the angles P cuts at DMQ and QMC are equal to that of AMP and PMB
that being said, we now see that the angles of APM triangle and AMC triangol are equal and because the diagonal of BD is is being cut by AC, which AD is parralel to BC and AB to Dc, we know now that lines AM and MC are congruent
we thus have enough informnation to prove that the two triangles are congruent. Because of thism, one side of the triangles, Pm which is the congruent side to that of PQ must be equal as well and
thus PM = QM
The alternate interior angles formed by the parallel sides and a common
transversal are equal, such that ΔPBM and ΔQDM are congruent.
Correct response;
PM is congruent to QM by CPCTCHow is the congruency of the segments determined?The two column proof is presented as follows;
Statement [tex]{}[/tex] Reason
ABCD is a parallelogram [tex]{}[/tex] Given
AC and DB are diagonals of ABCD [tex]{}[/tex] Given[tex]{}[/tex]
M is the point of intersection of the diagonals [tex]{}[/tex] Given
MB ≅ DM, and AM ≅ CM;[tex]{}[/tex] Properties of the diagonals of a parallelogram
∠PMB ≅ ∠DMQ [tex]{}[/tex] Vertical angles theorem
∠PBM ≅ ∠QDM [tex]{}[/tex] Alternate interior angles theorem
ΔPBM ≅ ΔQDM [tex]{}[/tex] Angle-Side-Angle Congruency post.
PM ≅ QM [tex]{}[/tex] CPCTC
ΔPBM is congruent to ΔQDM by Angle-Side-Angle congruency
postulate, given that they have two angles and an included side that are
congruent.
Therefore;
PM is congruent to QM by Corresponding Parts of Congruent Triangles are Congruent, CPCTC.Learn more about congruency postulates here:
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Sixteen plus five times a number is more than the number plus 32. Write an inequality and solve it.
Answer:
x>4
Step-by-step explanation:
16+5x>x+32
5x>x+16
4x>16
x>4
Answer: answer my question
Step-by-step explanation:
pls help it’s 30 points :)
Which mathematical sentence matches the story?
A school is holding a cake sale to raise money. They are selling cakes for $1 each and soft
drinks for $.50 (50 cents) each. How many cakes and drinks do they have to sell to make
at least $100?
Answer: they will need to sell 1,000 soft drinks and 50 cakes
Step-by-step explanation:
10pts
Cierra had $18 to spend on 6 pencils for school. After
buying the pencils she had $7.50 left. How much did
she spend on each pencil? Write an equation to represent your problem
Answer:
Step-by-step explanation:
$18-$7.50= $10.50
Answer:
f(x)=3x
f(x)=x+2
f(x)=3√3+x2
Step-by-step explanation:
Alexa is making a bracelet using beads. She uses 1 red bead for every 5 silver beads. If she uses a total of 20 silver beads, how many red beads does she use? Tingsug can you please answer this for me? pls
Answer:
4 red beads
Step-by-step explanation:
Help I will be marking brainliest!
A. 48
B. 124.8
C. 135.2
D. 115.2
Answer:
B. 124.8Step-by-step explanation:
ΔBDS ~ ΔBZD
BD = 52BZ = 20BS = ?Use ratios of similar triangles:
BS/BD = DZ/BZBS = BD*DZ/BZDZ = √(52²-20²) = 48
BS = 52*48/20 = 124.8Correct choice is B
I WILL GIVE BRAINLIEST! I NEED IT ASAP!!!
Which lateral face has the largest area, the bottom one, left one, or diagonal one? What is its area?
Answer:
LSA of a cube = 100 in²
Explanation:
Let the area of the cube be a.
Given the following data;
a = 5 in²
To find the lateral surface area;
We know that a cube has four faces and as such the lateral surface area would be the area of the four faces.
Lateral surface area (LSA) of a cube = 4a²
Substituting into the equation, we have;
LSA of a cube = 4*5²
LSA of a cube = 4*25
LSA of a cube = 100 in²
Therefore, the lateral surface area of the package is 100 square inches.
THe Left one
The bottom and the left lateral face have the largest area.
The area of the prism is 96 cm³.
What is a prism?A prism is a three-dimensional object.
There are triangular prism and rectangular prism.
We have,
The bottom one:
Lateral area.
= 12 x 4
= 48 cm²
The left one:
Lateral area.
= 12 x 4
= 48 cm²
The diagonal one:
Lateral area.
= 1/2 x 4 x 4
= 8 cm²
Now,
Area.
= ( 1/2 x 4 x 4 ) x 12
= 8 x 12
= 96 cm³
Thus,
The bottom and the left lateral face have the largest area.
The area of the prism is 96 cm³.
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If m
= 36 degrees, then find the
m
Answer:
probablt m= 0.628
Step-by-step explanation:
complete the equation of the line whose y-intercept is (0, -1) and the slope is 4
Answer:
y=4x-1
Step-by-step explanation:
We know that the slope equation is y=mx+b. M is the slope and B is the y-intercept. M is provided to be 4 and B is provided to be -1, so all we have to do is plug them in to get the answer.
Answer:
y = 4x - 1
Step-by-step explanation:
Slope-intercept form:
y = mx + b
So, input all the values...
y = 4x - 1
Hope this helps :)
Let me know if there are any mistakes!!