Answer:
Step-by-step explanation:
In a rectangle KLMN, if the diagonals KM and LN intersect at O, then KO = ON
GIVEN
KO = 4y+6
ON = 3y+11
Equate
4y+6 = 3y+11
Collect like terms
4y-3y = 11-6
y = 5
KO = 4(5)+6
KO = 20+6
KO = 26
Note that KO = OM = LO = ON = 26
Hence ON = 26
For diagonal KM,
KO+OM = KM
KM = 26+26
KM = 52
LN = LO+ON
LN = 26+26
LN = 52
From.the digram, ∆KON is isosceles triangle hence <KON = KNO =32°
<KON = 180-(32+32)
<KON = 180-64
<KON = 116°
<ONM = 90-32
<ONM = 58°
∆ONM is also an isosceles triangle,
<ONM = <OMN = 58°
Hence <KMN = 58°
If a=2, b=-3 and c=4, evaluate: b(a-c)^2
please help!! i need math help loll
Answer:
x=3
Step-by-step explanation:
Answer:
x = 3
Step-by-step explanation:
3 * 3 * 3 = 27
Hope this helps and pls do mark me brainliest if you can:)
If mZ3 = 74°, find each measure.
Answer:
m<1 = 74
m<2 = 74
m<4 = 74
Step-by-step explanation:
A,C and D are points on a circle of radius 4 cm, centre o. BA and BC are tangents to the circle. OB=10cm work out the length of arc ADC. give your answer correct to 3 significant figures
Answer:
Step-by-step explanation:
OB = 10 cm
OA = OC = Radius = 4 cm
COS <AB = OA/OB = 4/10 = 2/5 =
COS< COB = OC/OB = 4/10 = 2/5
=> <AOC = <AOB + <COB
=> <AOC = Cos-¹(2/5) + Cos-¹(2/5)
=> <AOC = 2 Cos-¹(2/5)
=> <AOC = 2 * 66.42
=> <AOC = 132.84°
if D is in minor arc then length of arc ADC. = ( 132.84°/360°) 2π = 9.274 cm
if D is in major arc then length of arc ADC. = ((360° -132.84°)/360°) 2π = 15.859 cm
A local supermarket sells shrimp $9.49/lb and beef for $5.99/lb Todd buys s pounds of shrimp and b pounds of beef. Which of the following inequalities represents that Sandy only has $65 to spend?
Answer: 9.49s + 5.99b ≤ 65
Plz mark brainliest:)
2. Find m 21.
(1 point)
339
579
21
O 147°
123°
90°
57°
Answer:
90°
Step-by-step explanation:
33+57=90
180-90=90
Which of the following situations have a sum of zero? Select all that apply.
1. Shawna spends $20 on materials to make bracelets for her friends. She then earns $20 from selling the bracelets.
2. A diver dove down 20 1/4 feet under water and then descended 20 1/4 feet.
3. A golfer shot 2 over par (+2) on a hole. They then then shot 2 under par (−2) on the next hole.
4. You have $5.50 in your pocket and then you receive $5.50 for doing your chores.
Plz help :( I don’t understand
PLEASE MARK AS BRAINLIST
Answer:
1. 2x-20+2x-15=13
4x-35=13
4x=13+35
4x=48
x=12
2. x-4+9=2x-4
2x-x= -4+9+4
x=9
3. IJK=41+130=171
4. KJD=88-50=38
which of these is correct? will give brainliest C:
Answer:
$7.50/lb answer A is correct
Step-by-step explanation:
Find the unit cost: $ per pound:
Calculate
$3.00
--------------------
(2/5) lb
It's slightly easier to calculate the equivalent
$3.00
------------- = $7.50/lb answer A is correct
0.4 lb
Answer: D. $1.20 per pound
Step-by-step explanation:
Because 2/5= 0.4 in a decimal form.
If you multiply 0.4 times 3= 1.2 just that in D they are adding a zero (0).
1.20= 1.2
An apple juice company produced 8.3 billion individual-size bottles of apple juice last year. If each bottle contains 355 milliliters of juice, how many milliliters of apple juice did the company produce?
Answer:
two trillion nine hundred forty-six billion five hundred million
The company produced 2946.5 billion milliliters.
What is multiplication?Multiplication is a mathematical arithmetic operation.
The process of adding the same number many times is repeated addition.
Multiplication is a repeated addition.
Example - 2 × 3 means 2 is added three times, or 3 is added 2 times.
Given:
Last year,
a company that makes apple juice produced 8.3 billion bottles of apple juice.
And 355 milliliters of juice occupied by each bottle.
then the company produced,
= 355 x 8.3 billion milliliters,
= 2946.5 billion milliliters.
Therefore, 2946.5 billion milliliters.
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What is the solution of the equation x2=64
Ella purchased a game that was on sale for 12% off. The sales tax in her county is 6%. Let y represent the original price of the game. Write an expression that can be used to determine the final cost of the game.
A y − 0.12y
B 0.06(0.88y)
C 1.06(0.88y)
D y − 0.88y + 0.06y
Answer:
The expression that can be used to determine the final cost of the game is
1.06(0.88 y) ⇒ (C)
Step-by-step explanation:
If the price of an item is discounted, that mean its new price will be less its initial priceThe taxes on item, makes its new price greater than the initial price because tax is addLet us solve the problem
∵ Ella purchased a game that was on sale for 12% off
→ That means the new price will (100% - 12%) of the initial price
∵ y represented the initial price of the game
→ Multiply y by (100% - 12%) to get the new price
∴ The new price = y (100% - 12%)
∴ The new price = y (88%)
→ Change 88% to normal number by divide it by 100
∴ The new price = y ([tex]\frac{88}{100}[/tex])
∴ The new price = 0.88 y
∵ The sales tax in her county is 6%
→ That means the final cost will be (100% + 6%) of 0.88 y
∴ The final cost = (100% + 6%) × (0.88 y)
∴ The final cost = 106% × (0.88 y)
→ Change 106% to normal number by divide it by 100
∴ The final cost = [tex]\frac{106}{100}[/tex] × (0.88 y)
∴ The final cost = 1.06(0.88 y)
The expression that can be used to determine the final cost of the game is 1.06(0.88 y)
Answer:
C. 1.06(0.88y)
Step-by-step explanation:
ASAP HELP ASAP HELPPPP
Answer:
3 or 2 is the answer to the question
Which graph represents the function f(x) = |x|-4?
Answer:
Which graph represents the function f(x) = 4|x|?
B is the correct answer
Step-by-step explanation:
Answer:
3rd option
Step-by-step explanation:
Edg2021
1890s was rounded to the nearest 10 what is the upper bound
Answer:
When rounding to the nearest ten, like we did with 1890 above, we use the following rules:
A) We round the number up to the nearest ten if the last digit in the number is 5, 6, 7, 8, or 9.
B) We round the number down to the nearest ten if the last digit in the number is 1, 2, 3, or 4.
C) If the last digit is 0, then we do not have to do any rounding, because it is already to the ten.
Step-by-step explanation:
Solve the system of equations below. 3/+4,/9-12 = 17 2v1 +3,11+52 = 18 -V5-VT-12 = -6
Answer: -6 You answered your own question-
Find the value of x so that line m is parallel to line l.
Answer:
-17
Step-by-step explanation:
The angles are corresponding angles so when the lines are parallel, the lines are equal
3x-12 = 4x+5
Subtract 3x from each side
3x-12 -3x = 4x+5-3x
-12 = x+5
Subtract 5 from each side
-12 -5 = x+5-5
-17 = x
Answer:
-17
Step-by-step explanation:
The two angles that are shown are *corresponding angles* which means they lie in the same spot, just on two different parallel lines. They are congruent angles. Therefore, you should set up an equation to solve for x. Since the two angles are congruent, you should set the expressions equal to each other. 3x-12=4x+5.
1.which of the following would save more fuel?
a.Replacing a compact car that gets 34 per gallon(mpg)with a hybrid that gets 54 mpg
b.Replacing a sport utility(SUV)that gets 18 mpg with a sedan that gets 28 mpg
c.Both changes would save the same amount of fuel.
2.Explain your reasoning for your choice.
9514 1404 393
Answer:
1. b
2. For each 1000 miles driven, (a) saves 10.9 gallons, while (b) saves 19.8 gallons
Step-by-step explanation:
The fuel savings will depend on the miles driven. If we use 1000 miles as the reference, the various vehicle fuel usages are ...
gallons = miles/(miles/gallon)
18 mpg: 1000/18 = 55.6 gallons
28 mpg: 1000/28 = 35.7 gallons
34 mpg: 1000/34 = 29.4 gallons
54 mpg: 1000/54 = 18.5 gallons
So, ...
replacing 34 mpg with 54 mpg saves 29.4 -18.5 = 10.9 gallons.
replacing 18 mpg with 28 mpg saves 55.6 -35.7 ≈ 19.8 gallons.
Replacing the SUV with a sedan saves more fuel, assuming all vehicles are driven the same distance.
__
The fuel use reduction from 18 mpg to 28 mpg is about 36%, whereas from 34 mpg to 54 mpg. the reduction is about 37%. The SUV replacement is a better choice because the smaller fraction of a much larger fuel use is still more savings than obtained by replacing the compact car.
please help me out!!!
Bus A and Bus B leave the bus depot at 9 am. Bus A takes 30 minutes to complete its route once and bus B takes 40 minutes to complete its route once. If both buses continue to repeat their route, at what time will they be back at the bus depot together?
Answer:
11 am
Step-by-step explanation:
Bus A and Bus B leave the bus depot at 9 am.
Bus A takes 30 minutes to complete its route once
Bus B takes 40 minutes to complete its route once.
We solve this finding the Lowest Common Multiple of the minutes each bus uses to complete it's route
30 = 3 × 10
40 = 4 × 10
= 3 × 4 × 10
= 120 minutes
120 minutes after 9 am is
60 minutes = 1 hour
60 minutes = 1 hour
= 2 hours.
9am + 2 hours
= 11 am.
Therefore, they be back at the bus depot together at 11 am
Angela went to the farmers' market to buy some vegetables. She wanted some yellow squash and zucchini which were both on sale for $1.48 per pound. Angela bought 245 pounds of yellow squash and 3110 pounds of zucchini. To the nearest cent, what was the total cost of the vegetables?
The total cost of 245 pounds of squash and 3110 pounds of zucchini is $4965.4.
What is Unitary method?In order to solve a problem for two different values of a quantity, its unit value is first derived. This method is known as unitary method.
Given that,
The unit rate for squash and zucchini is $1.48 per pound.
In order to calculate the cost for 245 pounds of squash and 3110 pounds of zucchini unitary method can be used as follows,
The cost for 245 pounds of squash is 245 × 1.48 = $362.6
And, the cost for 245 pounds of squash is 3110× 1.48 = $4602.8.
Thus, the total cost is given as 4602.8 + 362.6 = $4965.4.
Hence, the total cost of vegetables at the given rate is $4965.4.
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Which of the following is an equation of the tangent line to y=sin x +cos x at x=3.14/2
Answer:
y o = 2 sin ( π/6 ) = 2 * 1/2 = 1
x o = π / 6
y ` = 2 cos x = 2 cos (π/6) = 2 * √3 / 2 = √ 3;
m = √3
An equation of the tangent line is:
y - y o = m ( x - x o )
Answer:
y - 1 = √3 ( x - π/6 )
Step-by-step explanation
please give me brainliest hope it helps
If m<5=63°, find the measure of <3.
Answer:
angle 3's measurement should be 117 degrees
hope this helps :)
The measure of angle 3 is 117 degrees.
Calculation of an angle:In terms of geometry, an angle refers to the figure i.e. credited by two rays that should be met out at a common endpoint. An angle should be presented by the symbol ∠.
Since the angle 5 is 63 degrees
and, the total of two angles is 180 degrees
So, the angle 3 is
= 180 - 63
= 117 degrees
hence, The measure of angle 3 is 117 degrees.
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GEOMETRY/EASY PROBABILITY, urgent!
Answer:
2/7, 3/7
Step-by-step explanation:
Total outcomes=7
No. 6 outcomes=2
P(E)= Favourable outcomes/total outcomes
=2/7
Total even no.= 3
∴ P(E)= 3/7
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4x - 5y = 10 solve for y=mx+b
find the value of x (PLEASE HELP THIS IS a 40 point question)
Answer:
x=40°
Step-by-step explanation:
We have an isosceles triangle RST where the sides RS and ST are congruent, i.e. they have the same length.
One property of isosceles triangles is that the congruent sides form congruent angles with the other side. In other words, the measures of angles R and T are equal.
The sum of the measures of angles R, S, and T is 180°:
[tex]m\angle R+m\angle S+m\angle T =180^\circ[/tex]
Since [tex]m\angle R=2x-10[/tex] , [tex]m\angle T=m\angle R[/tex] and [tex]m\angle S=x[/tex]:
2x-10+x+2x-10 =180
Simplifying:
5x=180+20
Solving:
x=200/5
x=40°
In a sequence of numbers, a3=0, a4=4, a5=8, a6=12, and a7=16. Based on this information, which equation can be used to find the nth term in the sequence, an?
an=4n−12
A sub n is equal to 4 n minus 12
an=−12n+4
A sub n is equal to negative 12 n plus 4
an=−4n+12
A sub n is equal to negative 4 n plus 12,
an=12n−4
Answer:
an=−4n+12
A sub n is equal to negative 4 n plus 12,
Step-by-step explanation:
Which point represents (5,-3) on the graph?
Answer:
Point D
because you go 5 to the right and 3 down.
D
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6 inches for every horizontal change of 12 inches
PLZ HELP its a test re rake i really need to get it right or im gonna fail
Answer:
D
Step-by-step explanation:
if it was written in scientific notation, it would be 5*10^1
There shouldn't be decimals or part of numbers(6.0 is okay because 6.0 =6) in scientific notation