Answer:
65˚
Step-by-step explanation:
You do everything opposite:
63˚+6˚=69˚
69˚+18˚=87˚
87˚-22˚=65˚
Please tell me if i'm wrong.
A factory produces weighted balls to use for exercise by filling spherical rubber shells of different sizes with the sand like material. The materials density is 1.5 grams per centimeter. Assuming the shell weighs 10 grams, what should the balls radius so, when full, it weighs 1 kilogram(or 1000 grams)?
Answer:
r=5.4
As mentioned above, the actual \goldE{\text{total quantity}}total quantitystart color #a75a05, start text, t, o, t, a, l, space, q, u, a, n, t, i, t, y, end text, end color #a75a05 is 1000-10=\goldE{990}1000−10=9901000, minus, 10, equals, start color #a75a05, 990, end color #a75a05 grams, since we are trying to find the volume of the air within the shell.
Let's denote the ball's radius as rrr. Then, the \maroonD{\text{volume}}volumestart color #ca337c, start text, v, o, l, u, m, e, end text, end color #ca337c is \maroonD{\dfrac43\pi r^3}
3
4
πr
3
start color #ca337c, start fraction, 4, divided by, 3, end fraction, pi, r, cubed, end color #ca337c.
Now we can plug \blueE{\text{density}=1.5}density=1.5start color #0c7f99, start text, d, e, n, s, i, t, y, end text, equals, 1, point, 5, end color #0c7f99, \goldE{\text{total quantity}=990}total quantity=990start color #a75a05, start text, t, o, t, a, l, space, q, u, a, n, t, i, t, y, end text, equals, 990, end color #a75a05, and \maroonD{\text{volume}=\dfrac43\pi r^3}volume=
3
4
πr
3
start color #ca337c, start text, v, o, l, u, m, e, end text, equals, start fraction, 4, divided by, 3, end fraction, pi, r, cubed, end color #ca337c in the equation.
Determine the solution by using substitution. Write your answer as a point below (x,y).
Answer:
x is 1 and y is negative 2. (1, -2).
Step-by-step explanation:
Hope this helps!
ANSWER
X=1 and y=-1
Hopefully this is the correct answer
Let $M$, $N$, and $P$ be the midpoints of sides $\overline{TU}$, $\overline{US}$, and $\overline{ST}$ of triangle $STU$, respectively. Let $\overline{UZ}$ be an altitude of the triangle. If $\angle TSU = 71^\circ$, $\angle STU = 36^\circ$, and $\angle TUS = 73^\circ$, then what is $\angle NZM + \angle NPM$ in degrees?
Answer:
<NPM + <NZM = 146°
Step-by-step explanation:
Given:
In triangle STU: M, N and P are the midpoints of the line TU, US and ST respectively.
Line UZ is the altitude of the triangle STU
<TSU =71°, <TSU = 36°, <TUS = 73°
From the diagram:
N is the midpoint of line SU and M is the mid point of line UT.
∴ Line NM is parallel to line ST
P is the mid point of line ST and M is the mid point of line UT
∴Line PM is parallel to line SU
N is the mid point of line SU and P is the mid point of line ST
∴Line NP is parallel to line UT
Δ SPN = Δ STU = 36°
<SPN + <NPM + <MPT (Sum of angles in a triangle = 180°)
<UST = <MPT = 71°
36° + <NPM + 71° = 180°
<NPM + 107° = 180°
<NPM= 180°-107°
<NPM= 73°
In ΔSNZ, line SN = line NZ
∴ side SN = side NZ
< NSZ = <NZS = 71°
<MTZ = <MZT = 36°
<NZS + <NZM <MZT = 180° (Sum of angles in a triangle = 180°)
71° + <NZM + 36° = 180°
107° + <NZM = 180°
<NZM = 180° - 107°
<NZM = 73°
<NPM + <NZM =73° + 73°
<NPM + <NZM = 146°
What is the surface area of the prism in square inches?
Sin.
3 in
14 in.
8 in
60 square inches
168 square inches
276 square inches
304 square inches
Answer:
The answer is B.276.
Step-by-step explanation:
Got it right on Edge 2020 :)
Have a great day!!!! :)
Solve the problem.
2) There are 5 roads leading from Charleston to Mattoon, 6 roads leading from Mattoon to Toledo,
and 3 roads leading from Toledo to Greenup. How many ways are there to get from Charleston to
Greenup?
A) 180
B) 14
C) 90
D) 30
Answer:
There will be 90 ways to reach Greenup from Charleston.
Step-by-step explanation:
Option C: 90 is correct.
Let's name all the ways and try to visualize the roads.
C = Charleston
M = Mattoon
T = Toledo
G = Greenup
Task = Charleston to Greenup. How many different ways to reach?
1 1
2 2 1
C 3 M 3 T 2 G
4 4 3
5 5
6
So, Refer to this above diagram.
If we Start from C then go to 1 and then go to M and then go to 1 and then go to T and then go to 1 and then go G.
If you notice, in this single possibility we have 3 ways: C to 1 to M, M to 1 to T, T to 1 to G.
It means we will have: 5 x 6 x 3 = 90 number of ways to reach greenup from Charleston.
The total number of ways to get from Charleston to Greenup is option C) 90.
To determine this, multiply the number of roads for each section:
Charleston to Mattoon: 5 roadsMattoon to Toledo: 6 roadsToledo to Greenup: 3 roadsThen, multiply the numbers of roads for all the sections: [tex]5 * 6 * 3 = 90[/tex].
What is the area of the shaded region?
Given:
Radius of in circle (r) = 2 cm
Radius of out circle (R) = 4 cm
To find:
The area of the shaded region.
Solution:
The value of π = 3.14
Area of in circle = πr²
= 3.14 × 2²
Area of in circle = 12.56 cm²
Area of out circle = πR²
= 3.14 × 4²
Area of out circle = 50.24 cm²
Area of the shaded region = Area of out circle - Area of in circle
= 50.24 - 12.56
= 37.68 cm²
The area of the shaded region is 37.68 cm².
Mathieu is finding the x-intercepts of the function
f(x) = x2 + 4x + 3. His work is shown below.
Which error did Mathieu make?
He factored incorrectly.
He did not use the constant as the x-intercept.
O He set the factored expressions equal to each
other.
1.0 = x2 + 4x + 3
2. 0 = (x + 3)(x + 1)
3. x + 3 = x + 1
4. X = X-2
5.0 = -2
6. There are no x-intercepts.
O He incorrectly solved the equation x + 3 = x + 1.
Answer:
Step-by-step explanation:
He set the factored expressions equal to eachother
Mathieu made the error of setting the factored expressions equal to each other. In step 3, he incorrectly wrote x + 3 = x + 1. This is not true, and it led him to the incorrect conclusion that x = -2.
What is standard error?
It is an estimate of the standard deviation of the sampling distribution. It measures the variability of a considered sample statistic.
Suppose that we're given that:
Population standard deviation =[tex]\sigma[/tex]
Size of sample we're working on = n
Then, the standard error can be calculated as:
[tex]SE = \dfrac{\sigma}{\sqrt{n}}[/tex]
where SE denotes the standard error.
We are given that;
f(x) = x2 + 4x + 3
Now,
To find the x-intercepts of the function f(x) = x^2 + 4x + 3, you need to set the function equal to zero and solve for x:
x^2 + 4x + 3 = 0
You can factor this quadratic equation as:
(x + 3)(x + 1) = 0
Then, you can use the zero product property to find the values of x that make the equation true:
x + 3 = 0 or x + 1 = 0
Solving for x in each equation gives:
x = -3 or x = -1
Therefore, after finding the error step 3 will be f(x) = x^2 + 4x + 3 are (-3, 0) and (-1, 0).
Learn more about standard error here:
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Kaden makes 2 cups of salsa for a party. The 6 guests share the salsa equally. Write a fraction that shows how much each guest eats.
Answer:
1/6
Step-by-step explanation:
if it's split equally between 6 people then each gets 1/6
Final answer:
Each guest at the party would get ⅓ cup of salsa.
Explanation:
Kaden makes 2 cups of salsa for a party and the 6 guests share the salsa equally. To determine how much each guest eats, we divide the total amount of salsa by the number of guests. We perform the following calculation:
Total amount of salsa: 2 cupsNumber of guests: 6We divide the total cups of salsa, which is 2, by the number of guests, which is 6:
2 cups ÷ 6 guests = ⅓ cup per guest
Therefore, the fraction that shows how much each guest eats is ⅓ cup.
Help me asap ok thanks
Answer: total profit = $418
======================================================
Work Shown:
June
Income = (4 lawns)*($27 per lawn) = $108
Expenses = ($32 for gas)+($12 for trim line) = $44
Profit = income - expenses = 108-44 = $64
----------------------------
July
Income = (12 lawns)*($20 per lawn) = $240
Expenses = ($89 for gas)+($29 for blade sharpening) = $118
Profit = income - expenses = 240 - 89 = $151
----------------------------
August
Income = (16 lawns)*($20 per lawn) = $320
Expenses = ($101 for gas)+($16 for oil) = $117
Profit = income - expenses = 320-117 = $203
----------------------------
Total profit = (june profit)+(july profit)+(august profit)
Total profit = (64) + (151) + (203)
Total profit = $418
If the final result was negative, then we would call this a loss. However, we have a positive value, so we go with a profit.
PLEASE HELP ASAP!!!!!!!
A.) If two lines are parallel, then the same-side interior angles formed are congruent.
B.) If two lines are parallel, then the corresponding angles formed are congruent.
C.) Vertical angles are congruent.
D.) If two lines are parallel, then the alternate interior angles formed are congruent.
Answer: D
Step-by-step explanation:
The reason that justifies Step 2 in the proof is Vertical angles are congruent.
Therefore, the correct answer is C. Vertical angles are congruent.
Vertical angles are angles that are opposite each other when two lines intersect.
They are always congruent, regardless of whether the lines are parallel or not.
In the given diagram, angles ∠NQT and ∠SQR are vertical angles. Therefore, they are congruent, and Step 2 of the proof is justified.
The other answer choices are not correct:
A: Same-side interior angles are only congruent when the lines are parallel.
B: Corresponding angles are only congruent when the lines are parallel.
D: Alternate interior angles are only congruent when the lines are parallel.
Therefore, the correct answer is C. Vertical angles are congruent.
For similar question on Vertical angles.
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Due: Thursday at 11:00 PM
6
.
At the beginning of class, Mrs. Smith asked each of her 25 students to write his/her name on an index card and place
it in a closed container. Mrs. Smith draws a card in the morning and replaces it and repeats the process at the end of
the day. What is the probability that the same student will have his/her name drawn both times in the same day?
Answer: 1/25
Step-by-step explanation:
ANother math question -_-
Answer:
point c is the correct answer
Step-by-step explanation:
4
A farmer ties 4 bags on his mule. If the
mule can carry up to 200 lb and each
bag weighs 30 lb, how many more bags
can the mule carry?
Answer:
the mule can carry 2 more bags
Step-by-step explanation:
A storage shed in the shape of a cube has a height of 12 ft. There are 16 identical cube-shaped boxes in the shed. The edge of each box is 2.5 ft. How much space is left in the shed?
There are____ cubic feet left in the shed.
Answer:
576
Step-by-step explanation:
Answer:
1478ft³
Step-by-step explanation:
12x12x12=1728 ft³
16(2.5x2.5x2.5)= 250ft³
1728-250=1478ft³
There are 1478ft³ left in the shed
If f(x) = x2 + 1 and g(x) = x - 4, which value is equivalent to (f•g)(10)?
37
97
126
606
Hence the correct answer is Option (A) i.e. 37
What is Composition of a Function?The composition of a function is an operation where two functions say f and g generate a new function.
How to Solve:Given,
[tex]f(x)= x^2+1[/tex]-------------------(1)
and, [tex]g(x)= x-4[/tex]
Now ,
[tex]fog(x)=f[g(x)][/tex]
[tex]=f(x-4)[/tex]
[tex]=(x-4)^2+1[/tex] (from 1)
[tex]=x^2-8x+16[/tex][tex]+1[/tex]
[tex]fog(x)=x^2-8x+17[/tex]-----------------(2)
Now , we need to find [tex]fog(10)[/tex]
so, put x=10 in equation 2, we get:
[tex]fog(10) = 10^2 -8(10)+17\\fog(10) = 100-80+17\\fog(10) = 37[/tex]
Hence, the answer is 37
Learn more about Composition of Functions :
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What is the volume (in cubic units) of a cone with a radius
of 3 units and a height of 16 units? Assume that pie = 3.14
and round your answer to the nearest tenth when
necessary.
Answer:
150.72
Step-by-step explanation:
Used calculator
A rock climber climbs at a rate of 720 feet per hour. Write and solve an equation to find the number of minutes m it takes for the rock climber to climb 288 feet.
Answer:
The equation is y=12x. It takes 24 minutes for the rock climber to get to 288 feet.
Step-by-step explanation:
Since we know there are 60 minutes in an hour, we can divide 720 by 60. This gives us 12. Therefore, for every minute, the rock climber gets 12 feet higher. Assuming y is the height in feet, and x is the time in minutes, we can create the equation y=12x. Now, to find how long it takes to get to 288 feet, we will substitute y with 288.
288=12x
288/12 = 12x/12
24 = x
Now, we have time in minutes that it takes to get to 288 feet.
Hope this helps!
The equation is y=12x.
It takes 24 minutes for the rock climber to get to 288 feet.
The calculation is as follows:
here we know that
One hour = 60 minutes
so, by dividing 720 from 60 we get 12
here we assume the time in minutes be x
So, the equation is
y = 12x
288=12x
288/12 = 12x/12
24 = x
Learn more: https://brainly.com/question/25914450?referrer=searchResults
URGENT! What is the Range of the function y= 7cos(9x) ?
Answer:
-7 ≤ f(x) ≤7
Why:
The set of values of the dependent variable for which the function is good.
What is the equation of a circle with center (8,1) and radius 6?
A. (x - 3)2 + (y - 1)2 = 6
B. (x - 3)2 + (y - 1)2 = 36
C. (X + 8)2 + (y + 1)2 = 36
D. (X + 8)2 + (y + 1)2 = 6
Answer:
(x - 8)² + (y - 1)² = 36
None of the above
Step-by-step explanation:
Equation of a circle:
(x - h)² + (y - k)² = r²
(x - 8)² + (y - 1)² = 6²
(x - 8)² + (y - 1)² = 36
What is the measure of Angle M R N? Triangle M R N. Angle N is 98 degrees. Side N M extends to form exterior angle with a measure of 109 degrees.
Answer: Angle MRN equals 11 degrees (11°)
Step-by-step explanation: Please see the picture attached for details.
The triangle MRN has been drawn such that angle N as shown equals 98 degrees. Then line NM has been extended and the exterior formed there is 109 degrees. That means angle M can be calculated as follows
Angle M = 180 - 109 {Angles on a straight line equals 180}
Angle M = 71
Now we have two angles given as angle N which is 98 degrees and angle M which is 71 degrees.
Angle MRN can now be calculated as follows;
∠ MRN = 180 - (71 + 98) {Sum of angles in a triangle equals 180}
∠ MRN = 180 - 169
∠ MRN = 11
Therefore angle MRN measures 11 degrees.
Answer:16
Step-by-step explanation:Take 98 and subtract it from 109
which of the following angles is coterminal with one that measures 98 degrees
Answer:
See below
Step-by-step explanation:
You have not provided the options.
But I will explain how you can work it.
Coterminal angles are two or more angles that have the same terminal side in standard.
If you want to find an angle that is coterminal with 98°, you keep adding or subtracting 360°.
[tex]98 + 360 = 458 \\ 98 + 2 \times 360 = 818[/tex]
[tex]98 - 360 = - 262[/tex]
Therefore 488°, 818°, -262° are examples of angles that are coterminal with 98°
you and a friend play a game twice. what is the probability that you win both games? P(win) = 1/2
Answer:
1/4
Step-by-step explanation: 1/2*2=1/4
The probability of winning two games in a row, with each win having a 1/2 chance, is 1/4 or 25 percent, calculated by multiplying the individual probabilities for each game using the product rule.
The probability that you win a game is given as 1/2, and since the games are independent, the probability of winning both games in a row is found by multiplying the probabilities of each individual game. Using the product rule, P(win game 1 and game 2) = P(win game 1) × P(win game 2).
Since P(win) = 1/2 for each game, we simply calculate:
P(win both games) = (1/2) × (1/2) = 1/4.
Therefore, the probability of winning both games is 1/4 or 25 percent.
what is x+4x+6x= simplify with work
Answer:
11x
Step-by-step explanation:
You can add all the coefficients together:
1+4+6 = 11
Answer:
11x.
Step-by-step explanation:
Combine like terms, they are alike because they share the same variable. Add x with 4x which is 5x, or you could do this. x+ x+x+x+x= 5x. 5x means you have 5 x's. Then combine 5x with 6x which is 11x. Hope this helps!
what is the best estimate for 19% of 205%
Answer:
19% of 205 = 38.95
Hope this helps love!
Which sale gives the greatest percent discount? 1) Take 25% off, 2) original price reduced by 30%, 3) on sale at 60% of the original price, 4) it depends on the original price.
The greatest percent discount is the option where the item is on sale at 60% of the original price. This is because you are paying the smallest percentage (60%) of the original price compared to the other options, representing the largest discount.
Explanation:The question is pertaining to discounts and how to determine which option gives the greatest percent discount. Finding the greatest percent discount involves comparing the different percentage decreases from the original price. We can ignore any impact of sales tax for this particular comparison.
Here are the discounts rephrased in terms of how much of the original price you would pay:
25% off - You pay 75% of the original price.Original price reduced by 30% - You pay 70% of the original price.On sale at 60% of the original price - You pay 60% of the original price.Now, comparing these percentages (75%, 70%, and 60%), the smallest percentage represents the largest discount. Therefore, option 3, where the item is on sale at 60% of the original price, represents the greatest discount as you're paying the smallest percentage of the original price. The original price does not impact which discount is greater since we are comparing percentages, not absolute values, which means the answer does not depend on the original price.
Final answer:
Comparing percent discounts shows that being on sale at 60% of the original price (Option 3) is effectively a 40% discount, which is the greatest discount among the given options.
Explanation:
The question asks about comparing different percent discounts to determine which one is the greatest. To compare the discounts, we consider a hypothetical original price and apply each discount to see which reduced price is the lowest.
Option 1: 25% off means the sale price is 75% of the original price.
Option 2: A reduction of 30% means the sale price is 70% of the original price.
Option 3: On sale at 60% of the original price means the sale price is exactly that, 60% of the original price.
Option 4: The sale that offers the greatest percent discount does not depend on the original price because percentages are relative, not absolute values.
Considering these options, Option 3, being on sale at 60% of the original price, is equivalent to a 40% discount, which offers the greatest percent discount.
Q4) Kiarah collects data throughout the basketball season and uses these 1 point
data to determine the probabilities of different teams playing in the league
championship game. The probabilities for her four favorite teams playing in
the championship game are shown below. Which of these teams is least
likely to play in the championship game?*
• Tigers: P =
• Redbirds: P =
• Bulldogs: P =
•Titans: P =
a. Tigers
B. Redbirds
C. Bulldogs
D. Titans
Answer:
C. Bulldogs
Step-by-step explanation:
In this question, we want to compare several numbers with different denominators and find out which number is the least. To compare this number, we have to change the denominator into the same number by finding the least common multiple (LCM) of the 4 numbers. The factor of each number will be:
3= 3 ^1
5= 5^1
8= 2 * 2 * 2 = 2^3
2= 2^1
We can find the LCM by multiplying a higher exponent of each prime number. The LCM will be:3^1 * 5^1 * 2^3 = 120
Each number will be:
Tiger= 2/3 * 40/40= 80/120
Redbird = 4/5 * 24/24= 96/120
Bulldogs = 3/8 * 15/15 = 45/120
Titans = 1/2 * 60/60 = 60/120
As you can see, the team with the lowest chance to play is Bulldogs = 45/120
Answer:
bulldogs (i think)
Step-by-step explanation:
2. Ms. Bever has one roll of toilet paper with 500 sheets. How many days will the roll of toilet
paper last if she uses 5 sheets of toilet paper every time she uses the washroom. One the
average day, Ms. Bever uses the washroom 6 times. How many days will she have toilet paper
for?
Answer: 30 days
Step-by-step explanation: 5 x 6 = 30 and she has 500 sheets it would take her about 30 days
Ms. Bever uses 30 sheets of toilet paper per day. A roll of 500 sheets would last her approximately 16.67 days, which means it will last for 16 full days.
Ms. Bever uses 30 sheets of toilet paper per day since she uses the washroom 6 times and uses 5 sheets each time (5 sheets * 6 uses = 30 sheets per day).
To find out how many days a roll will last, we will calculate the number of total sheets divided by the sheets used per day. So, with a roll of 500 sheets, the calculation is 500 sheets / 30 sheets per day = approximately 16.67 days.
Since Ms. Bever cannot use two-thirds of a sheet, the toilet paper will last for 16 full days, with some extra sheets left over which aren't sufficient for another full day of use.
True or false order matter in ratio
Answer:
true
Step-by-step explanation:
Order matters because if you switch it around it means a totally diffrent thing for example 1:2= 1/2 and 2:1 = 2/1. you see it really does matter.
3. A numbers is subtracted from seven. When the result is divided by
three, the quotient is two. What is the number?
Answer:
so a number s (s) is subtracted from seven (7 take away s or 7-s) when the result (7-s) is divided by 3 [(7-s)/3] the quotient is 2 (=2)
(7-s)/3=2
multiply both sdis by 3
7-s itmes 3/3=2 times 3
7-s=6
subtract 7 from both sdies
-s=-1
multily -1
s=1
7-x=y
y/3=2
y=6
7-x=6
-x= -1
x=1
Five times two fifths
Answer:=2
Step-by-step explanation: