area of OAB = 72 = (1/2) sin (AOB) * OA * OB solve the above for sin(AOB) to find sin(AOB) = 1/2 area of ODC = 288 = (1/2) sin (DOC) * OD * OD Note that sin(DOC) = sin(AOB) = 1/2, OD = 18 + y and OC = 16 + x and substitute in the above to obtain the first equation in x and y 1152 = (18 + y)(16 + x)...
HOPE SO IT HELPS YOU
In a Quadrilateral, two of the angles each have a measure of 110°, and the measure of the third angle is 90°. What is the measure of the remaining angle?
Answer:
50°
Step-by-step explanation:
The total measurement of the sum of the interior angles is 360.
It is given that two of the angles has a measurement of 110. The third angle has a measurement of 90. Let the unknown measurement angle = x. Set the equation:
110 + 110 + 90 + x = 360
Combine like terms:
(110 + 110 + 90) + x = 360
310 + x = 360
Isolate the variable, x. Note the equal sign, what you do to one side, you do to the other. Subtract 310 from both sides:
310 (-310) + x = 360 (-310)
x = 360 - 310
x = 50
50° is the measurement of the remaining angle.
Is the expression x^3·x^3·x^3 equivalent to x^3·3·3? Why or why not? Explain your reasoning. Please show and explain all steps thoroughly. Thank you for your time and help. There is a screenshot of the problem in case my typed version of the problem is not as understandable.
The two expressions are not equivalent because one of the the rule of exponents is that when the bases of the exponents are the same (in this case, they're all x) then you can add the powers. Thus, the alternative expression should be x^(3+3+3).
YujiC this is incorrect
5x and -4x
Paul wants M₁ and M₂ to have a total that is +x, and a product that is -20x². The values of M₁ and M₂ that will do that are ...
5x and -4x
Answer: 5x and -4x
Step-by-step explanation:
= 5x + (-4x)
= 5x -4x
= +x
= 5x × (-4x)
= -20x²
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The width of Estelle's rectangular living room is 4 meters, and the distance between opposite corners is 7 meters. What is the length of Estelle's living room? If necessary, round to the nearest tenth.
Answer:
5.7 meters
Step-by-step explanation:
Image a rectangle being cut diagonally in half, that would lead to two triangles. We can use the pythagorean theorem to find the missing side.
7 is the hypotenuse and 4 is the side length
4^2+x^2=7^2
16+x^2=49
sqrx=sqr(49-16)
x=sqr33
x=5.74
Rounded to the nearest tenth is 5.7
Please help, I’m so confused
The best value for each of the characteristics of the parabola are presented in the following table;
The table of best values of parabola characteristics
[tex]\begin{array}{lcccc}\mathbf{Characteristic&\mathbf{r}&\mathbf{ (\pi \cdot r)}&(2 \cdot \pi \cdot \mathbf{r})& ( \pi \cdot \mathbf{r^2})\\\\\mathbf{Base \ of \ parallelogram} & &\checkmark &&\\\\\mathbf{Height \ of \ parallelogram}& \checkmark &&&\\\\\mathbf{Area \ of \ parallelogram}&&&&\checkmark \end{array}}[/tex]
The process of obtaining the above values is shown as follows;
The given parameters are;
To justify the area of a circle, the argument Yvonne wants to use = The dissection argument
The shape to which the reassembled figure tends to approximate = A parallelogram
Description of the of the reassembled figure
The horizontal parallel sides of the parallelogram formed = The arcs of the circle
The other pair of parallel sides = The radius of the circle
The best values of the characteristics of the parallelogram given in the table are therefore found as follows;
(a) The base of the parallelogram = (1/2) the total sum of the arcs in a circle = (1/2) the circumference of the circle = π·r
∴ The base of the parallelogram = π·r
(b) The height of the parallelogram = The perpendicular distance from the tip of one of the sectors to the midpoint of the arc of the sector = The radius of the circle = r
∴ The height of the parallelogram = r
(c) The area of the parallelogram, A = The sum of the area of the sectors
A = (n × θ/360) × π·r²
Where;
n × θ = 360°
Therefore;
A = (n × θ/360) × π·r² = (360/360) × π·r² = π·r²
We have;
The area of the parallelogram, A = π·r²
The table showing the best value of each characteristics of the parallelogram is therefore presented as follows;
[tex]\begin{array}{lcccc}\mathbf{Characteristic&\mathbf{r}&\mathbf{ (\pi \cdot r)}&(2 \cdot \pi \cdot \mathbf{r})& ( \pi \cdot \mathbf{r^2})\\\\\mathbf{Base \ of \ parallelogram} & &\checkmark &&\\\\\mathbf{Height \ of \ parallelogram}& \checkmark &&&\\\\\mathbf{Area \ of \ parallelogram}&&&&\checkmark \end{array}}[/tex]
Learn more about geometric figures (circles, and parallelogram) here;
https://brainly.com/question/16663192
https://brainly.com/question/24054192
*PLEASE* PLEASE PLEASE HELP ME SOMEBODY !3RD! TIME POSTING THIS AND I REALLY BADLY NEED HELP!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Are the two triangles similar? If so, state the reason and the similarity statement. Question options: A) Impossible to determine. B) Yes; SAS; ΔVWX ∼ ΔYZX C) Yes; SSS; ΔVWX ∼ ΔYZX D) The triangles are not similar.
Answer:I think its not similar
Step-by-step explanation:
they dnot look the same
What is the mean of the set of data?
6, 7, 10, 12, 12 ,13
answer choices:
6
10
7
11
Answer:
mean = 10
Step-by-step explanation:
The mean is calculated as
mean = [tex]\frac{sum}{count}[/tex]
= [tex]\frac{6+7+10+12+12+13}{6}[/tex]
= [tex]\frac{60}{6}[/tex]
= 10
What is the algebraic expression for “ three times a number reduced by 5”
Answer:
Let n be the number.
So, 3 times n is 3n.
And reduced by 5 is -5.
So the answer is 3n-5.
Let me know if this helps!
If a3 = 11 and a5 = 7 and ak is the -th term of the sequence and ak = -9, then what is the value of k?
What is the area of polygon ABCDEFGHI in the coordinate plane from the figure below?
A survey was taken of children between the ages of 3 and 7. Let A be the event that the person has 2 siblings, and let B be the event that the person does not have a pet.
Which statement is true about whether A and B are independent events?
A and B are independent events because P(A∣B) = P(A) = 0.18.
A and B are independent events because P(A∣B) = P(A) = 0.4.
A and B are not independent events because P(A∣B) = 0.4 and P(A) = 0.18.
A and B are not independent events because P(A∣B) = 0.18 and P(A) = 0.4.
Answer: A and B are not independent events because P(A∣B) = 0.18 and P(A) = 0.4.
Step-by-step explanation:
They are not independent events because if they were P(A∣B) and P(A) would be equal.
Kristen goes on a cake tour with her family they climb down 8 m below ground level they climb the opposite of 8 m to return to ground level how many meters did they climb in all into your answer in the box
Answer: 16 meters in total, even tho it seems they didn’t move at all
Step-by-step explanation:
Answer:
16 meters
Step-by-step explanation:
Down 8 meters is a distance of 8m
Up 8 meters is a distance of 8m
8m+8m = 16 meters total
pls help me asap!!!!!!!!
Answer:
Center: (9,3)
Radius: 9 units
Step-by-step explanation:
[tex]x^{2} -y^{2} -18x-6y+9=0[/tex]
[tex]x^{2} -18x+81+y^{2} -6y+9=-9+81+9[/tex]
[tex](x-9)^{2} +(y-3)^{2} =81[/tex]
Center: (9,3)
[tex]r^{2} =81[/tex] → [tex]r=9[/tex]
Radius : 9 units
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A certain shampoo is available in two sizes. A 14.2 ounce bottle costs $3.98. A 33.9 ounce bottle costs $9.98. Find the unit price for each size. Then state which size is the better buy based on the unit price. Round your answers to the nearest cent. Thank you!
Answer:
A 14.2 ounce bottle costs $3.98 is the better buy
Step-by-step explanation:
Find the price per ounce for each
A 14.2 ounce bottle costs $3.98
3.98 /14.2 =.28028169 = .28 per ounce
A 33.9 ounce bottle costs $9.98
9.98/33.9 =.29439528 = .29 per ounce
PLEASE HELP MEEEEEEEEEEEEE!!!!
a(2x + 3) = 10x + 15
For what value of a does 2x + 3 = 10x + 15?
2x + 3 = 5( 2x + 3)
a=5
Profit And Loss
1. Find the profit percent when 6 pens are sold at the cost price of 9 pens.
Answer stepwise
0.7% percent is the answer
true or false. can someone help me w this??
Answer:
false
Step-by-step explanation:
it would be in the first quadrant
Answer:
False
Step-by-step explanation:
The real part is positive and the imaginary part is positive which put is in the first quadrant
We use the formula V = πr2h to find the volume of a cylinder. Make h the subject of the formula.
Answer:
V / ( pi r^2) = h
Step-by-step explanation:
V = pi r^2 h
Divide each side by pi r^2
V / ( pi r^2) = pi r^2 h / pi r^2
V / ( pi r^2) = h
What is the scale factor?
Answer: B
Step-by-step explanation:
You can see that the length of the sides from abc are factored by 1/3 to get the length of xyz. Therefore, the scale factor is 1/3.
a colleague needs to move a 500 pound object that's on a lever. the fulcrum is 6 inches from the object. If your colleague weighs 180 pounds how far will your colleague need to be from the fulcrum to move the object? Use the formula B = (P x A) ÷ W, and round your answer to two decimal places.
Answer:
Step-by-step explanation:
The easier way to figure this is by using the concept of torque in physics. If the torque of the man is greater than that experienced by the box, the lever will tilt in the man's favor (in other words, he will move down and the box will be lifted). Torque is found by multiplying the perpendicular force by the length of the lever arm. Because we want the man's torque to be greater than the box's torque, the inequality is:
[tex]\tau_{man}>\tau_{box}[/tex] and
[tex]180r>500(.1524)[/tex] That decimal is 6 inches in terms of meters.
180r > 76.2 so
r > .42 meters or `16.67 inches. The man has to sit at a distance greater than 16.67 inches in order for the box to be lifted by the lever.
1) 0.1(t-3)=0.15(t-4)
2) 2m(m-4)-8=m(2m-12)
3) 10-5(1+x)/3+3x+1/5=0
4) 2b+1/5-b-1/3=1
5) 5(1-z)/3-3z-1/5=1/6
6) x+5/15-x-5/10=1+2x/15
7) 3x-4/6-2x+3/8=2x-7/24
8) (x+0.5)+1/2(3x-1/3)=1/3(x+1)
9) 9x-5/7=6x++2/5
10) 7x-10/5=8x5/7
What is the value of the expression below when y = 8 y=8? 2 y + 7 2y+7
Answer:
23
Step-by-step explanation:
[tex]2 y + 7[/tex]
Replace y with 8
[tex]= 2 (8) + 7\\= 16+ 7\\= 23[/tex]
Therefore, the value of the expression when y=8 is 23.
I hope this helps!
How do you do 9&10?
Answer:
Step-by-step explanation:
9) 9xt
10) r-10
Evaluate (3.4 x 10^4)(4.5 x 10^3). Write your answer in scientific notation. HELPPP
Answer:
1.53x10^8
Step-by-step explanation:
3.4 x 4.5 = 15.3 = 1.53x10
10^4 x 10^3 = 10^7
1.53x10x10^7 = 1.53x10^8
Twice a number decreased by 39 is five times the sum of the
number and 2 times the number. Find the number.
Answer: x=-3
Step-by-step explanation:
2(x)-39=5(x+2x)
2x-39=5(3x)
2x-39=15x
-39=13x
-39/13=-3
Help me please, this all is of 4 marks
Step-by-step explanation:
1) 250 n(tnc)
2) 100
this your answer
12 a) Find the sum and difference between the place value and face value of 5 in the number 35086941 .
Answer: Sum = 5000005, Difference = 4999995
Explanation:
Number = 35086941
Place value = 5000000
Face value = 5
Sum = 5000000 + 5
= 5000005
Difference = 5000000 - 5
= 4999995
Must click thanks and mark brainliest
A sailboat has a large sail in the shape of a right triangle. The height of the sail measures 17 yards, and the width measures 8 yards
Answer:
68
Step-by-step explanation:
17x8 = 136
136/2 = 68
PLS HELP ME ON THIS QUESTION I WILL MARK YOU AS BRAINLIEST IF YOU KNOW THE ANSWER PLS GIVE ME A STEP BY STEP EXPLANATION!!
A backpacking company requires each camper to bring a lantern to go on a trip. The company supplies 4 extra in case any lanterns get lost or broken. Write an equation if c represent the number of campers and l represent the total number of lanterns.
A. cl=4
B. c=l+4
C. l=c−4
D. l=c+4
Answer:the answer is D
Step-by-step explanation:
What is the circumference of the circle whose equation is (x − 9)2 + (y − 3)2 = 64?
Answer:
C = 16pi or ≈50.24 units
Step-by-step explanation:
(x − 9)^2 + (y − 3)^2 = 64
This equation is in the form
(x-h)^2 + (y-k)^2 = r^2
The radius is 8
The circumference is given by
C = 2*pi*r
C = 2*pi*8
C = 16 pi
Using 3.14 as an approximation for pi
C = 16(3.14)
C ≈50.24
