Answer:
1 = 157°
2 = 23°
Step-by-step explanation:
because the angles are supplementary, their angles will add up to 180°set up the equation (2x-3)+(-5x+423)=180combine like terms to get -3x+420=180subtract 420 from 180 to get -3x=-240divide by three and get x=80now plug in 80 for x in both equationsA radio arm saw has a circular cutting blade with a diameter of 10 inches and it spins at 2000rpm if there are 12 cutting teeth per inch on the cutting blade how many teeth cross the cutting surface each second
Answer:
12565.11 teeth approximately cut cross the cutting surface per seconds.
Step-by-step explanation:
Since the diameter is 10inches, the circumference of the arm saw is 10π (circumference is πd where d is diameter).
The number of teeth on the cutting blade can be gotten by multiplying the diameter by 12 since we have 12 teeth per inch on the arm saw
Number of teeth on saw = 12 x 10π = 120π.
To get the number of teeth that cross the cutting surface in 2000rpm we multiple it by the total number of teeth in just one rpm.
So we have 2000 x 120π. But since we are asked to find it in revolution per seconds then 2000r/m = 2000r/60s ≈ 33.33
Therefore, we have
33.33 x 120π ≈ 12565.11 teeth
Plz help plzzzzzzzzz
Answer:
4th option OR last option
Step-by-step explanation:
Ok so I think it means hexagon not heptagon since I have never heard of heptagon. Just confirm that with your teacher if it is hexagon or heptagon.
Hexagon = 6 sides
This means that it is not second option. Nor it is the third option since it said that it should be more than 6 sides. Now we are left with 1st and 4th option. It also mentioned that all opposite sides should be parallel. Looking at the first option, not all sides are parallel. Some are big and some are small. This remains with the last option which is the 4th option.
Hope this helps, thank you !!
Meaghan and Lily are dividing 43.61 by 7. Meaghan says that the first digit of the quotient is in the ones place. Lily says it is in the tens place. Who is right? How do you know?
Answer: Meaghan is right.
Step-by-step explanation:
For a number like:
123.45
the tens place would be the "2" (second number at the left of the decimal point)
The ones place would be the "3" (first number at the left of the decimal point)
Let's suppose that Lily is correct.
Then the quotient of:
43.61/7
Will be a number with two digits in the left of the decimal point.
The smallest number that meets this condition, is the number 10.
Then let's see:
7*10 = 70
then:
70/7 = 10
and:
43.61 < 70
(70 is larger than 43.61)
then:
43.61/7 < 70/7 = 10
Then:
(43.61/7) < 10
This means that our quotient is smaller than 10, then the first digit of the quotient can not be on the tens place.
Then Meaghan is the correct one.
We also could perform the quotient to find:
43.61/7 = 6.23
So yes, Meaghan is correct.
Determine two pairs of polar coordinates for the point (5, -5) with 0° ≤ θ < 360°
Answer:
Step-by-step explanation:
x=5
y=-5
Hence it lies in 4th quadrant.
x=r cos θ
5=r cos θ ...(1)
y=r sin θ
-5 =r sin θ ... (2)
square and add
(5)²+(-5)²=r²(sin ²θ +cos ²θ )
r²=25+25=50
r=±5√2
dividing
tan θ=-5/5=-1=-tan 45°=tan (180-45),tan(360-45)
θ=135°,315°
so polar coordinates are (5√2,315°) and (-5√2,135°)
name a pair of adjacent angles using the picture above.
Answer:
<RUS and <SUT
Step-by-step explanation:
Adjacent angles have one side in common but no common interior points.
<RUS and <SUT
Answer:
The right angles are adjacent because adjacent angles
Step-by-step explanation:
Adjacent angles are two angles that have a common vertex
I really neeed help plssss
Answer:
6
Step-by-step explanation:
270/45=6
Answer:
1 minute = 6 calories burned
Step-by-step explanation:
270 ÷ 45 = 6
Heya, could someone help me figure this out? I'm kinda stuck on this question :p
Answer:
-0.5Step-by-step explanation:
to understand thisyou need to know about:algebraPEMDASgiven:v=u+atu=2a=-5t=½let's solve:substitute the given values : v=2+(-5)×½v=2+(-2.5)v=-0.5I NEED HELP
Use the compound interest formula A=P(1+rn)nt.
If $10,000 is invested at 2 percent semi-annually for 5 years, what is the amount at the end of the term?
$11,052
$11,051
$11,049
$11,046
Answer:
A
Step-by-step explanation:
Answer:
D: 11,046
Step-by-step explanation: i took the quiz
what are the expressions that are equivalent to 2x + 3x + 8 - 3x - 2
Answers that equivalent to the expression 2x+3x+8-3x-2 would be the choices A and C. If you notice, in choice A, you have just combined all the like terms which results in 2x+6 and in Choice C, you have combined all your constants and the the two terms 2x and 3x resulting in 5x-3x+6 which all remain equivalent to he original given expression
Piece of Cake!
Solve this problem:
A cake has 79 slices.
Harry ate 47 slices; Jack ate 14 slices; Dave ate 10 &
Mary ate 8 slices.
What fraction of the cake is remaining?
Answer:
none/0
Step-by-step explanation:
they ate all the cake.
now harry is gonna get sick
Answer:
79/79 or 1
Step-by-step explanation:
47+14+10+8=79
If Harry, Jack, Dave, and Mary all ate 79 slices in total, then there would be no more cake left since there are only 79 slices. The fraction answer would be 79/79 or 1, because they 79/79 is equivalent to 1.
2 1/6 x 4 1/2 Solve the problem AND explain your steps
what is 7 divided by 10 as a fraction
The fractional form is 7/10.
What is Fraction?The fractional bar is a horizontal bar that divides the numerator and denominator of every fraction into these two halves.
The number of parts into which the whole has been divided is shown by the denominator. It is positioned in the fraction's lower portion, below the fractional bar.How many sections of the fraction are displayed or chosen is shown in the numerator. It is positioned above the fractional bar in the upper portion of the fraction.Given:
We have to divide 7 by 10.
The common factor for 7 and 10
7 = 7 x 1
and, 10= 2 x 5 x 1
so, there is only one factor common is 1.
Thus, the fraction is 7/10.
Learn more about Equivalent Fraction here:
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In city W, the average cost for a gym membership is given by the equation y = 34.99x +49, where y is the total cost, in dollars, for x months of membership. What is the meaning of the y-value when x = 1? *
Simplify each expression by combining like terms
-3x + 12x =
Answer:
9x
Step-by-step explanation:
hshdhdhdxhhxhxhxhxhxhxhxhhxhxhxhhx
Answer:
9x or 15x
Step-by-step explanation:
-3x + 12x = 9x
-3 + 12 = 9,
or if you just straight out add
-3x + 12x = 15x
PLEASE HELP BCS MY TEACHER KEEPS POSTING HARD STUFF
Answer:
My estimate is D:21
Step-by-step explanation:
so sorry this answer will be 75% wrong, let me explain how i got this answer
the perimeter of triangle ADE is 12 units
Triangle ABC looks like 2 times the triangle ADE , 12 + 12 = 24 and the closest answer was D: 21
I hope i helped you in some way!
Answer:
D.21
Step-by-step explanation:
AC=8
AB=8
BC=5
Add all the sides
=21
What is the image of (0, 6) after a dilation by a scale factor of 1/3 centered at the origin ?
Answer:
0,4
Step-by-step explanation:
did on delta math rn and got it right. basically just divide 0,12 by 1/3
ex: 0 by 1/3 and 12 by 1/3
12/3 is 4 so 0,4
40000+10000n= how do i find the answer
Answer:
50000. easy
Step-by-step explanation:
Answer:
50000
Step-by-step explanation:
Alfie has £10 note He buys 3 pens costing 1.45 each and some pencils costing 90p He gets 2.05 change. How many pencils did he buy?
Answer:
4 pencils
Step-by-step explanation:
Note= pencils costing 0. 90p
Given data
Balance= £10
pen= 3*1.45= £4.35
pencils=0.90p
change= £2.05
2.05= 10-4.35-90p
solve for p
2.05= 5.65-90p
collect like terms
5.65-2.05= 0.90p
3.6=90p
divide both sides by 90
p=3.6/0.90
p=4
5 is not more than x
Answer:
well we don't don't know...because x is unknown
Answer:
There no problem but 5<=x in equation form
Step-by-step explanation:
That way because x can either be five or higher
Question 6(Multiple Choice Worth 4 points)
(05.07 MC)
The number of wins for a high school football team is measured for the season. When the team plays at home, it is generally believed that they will win. Comparing the location of the game and the number of wins, a correlation coefficient of 0.891 is calculated. What would this imply about the football team winning at home?
The scatter plot would closely resemble a straight line with a positive slope. The data has a strong, positive correlation, but causation cannot be determined.
The scatter plot would closely resemble a straight line with a positive slope. The data has a strong, positive correlation, and a causal relationship exists between the team playing at home and winning.
The scatter plot would not be represented by a line of best fit with a positive slope. There is a weak correlation between the football team playing at home and winning.
There is no causation and almost no correlation between the football team playing at home and winning.
Answer:
The scatter plot would closely resemble a straight line with a positive slope, but causation cannot be determined.
Step-by-step explanation:
Recall that causation and correlation are 2 different things. Say Taller people usually had a name that started with the letter “A” It's a correlation, but a name does not determine the height, so it's not causation. (I took the test and got it right too.)
The data has a strong, negative correlation, and a causal relationship exists between the team playing at home and winning would be imply about the football team winning at home.
What is a correlation coefficient?It is an index that measures correlation between two variables, assuming values between -1 and 1.
If it is positive, the relation is positive, that is, they are direct proportional. If it is negative, they are inverse proportional.
If the absolute value of the correlation coefficient is greater than 0.6, the relationship is strong.
It also is the slope of the line of best fit.
The number of wins for a high school football team is measured for the season. When the team plays at home, it is generally believed that they will win.
Comparing the location of the game and the number of wins, a correlation coefficient of 0.891 is calculated.
The scatter plot would closely resemble a straight line with a negative slope. The data has a strong, negative correlation, and a causal relationship exists between the team playing at home and winning.
Learn more about straight line here:
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b) Work out 4 =
5
Give your answer as a mixed number in its simplest form.
Answer:
Step-by-step
explain your question more please.
someone plz help me plz
Answer:
38.5
Step-by-step explanation:
First do 77/2 then you get 38.5, if anything is wrong please tell me!!
find the area of the shape
Answer:
787.5
Step-by-step explanation:
23×14=322
A=a+b /2h=15+34 /2·19=465.5
322+465.5=787.5
A grain trader buys the following amounts from three suppliers: 3,200 pounds, 7,200 pounds and 600 pounds. What is the total weight of this purchase
The total weight of the grain purchase is 5.5 tons when grain trader buys the following amounts from three suppliers: 3,200 pounds, 7,200 pounds and 600 pounds.
To find the total weight of the grain purchase in tons, we need to convert the weight from pounds to tons and then sum them up.
Given the weights from the three suppliers:
Supplier 1: 3,200 pounds
Supplier 2: 7,200 pounds
Supplier 3: 600 pounds
To convert pounds to tons, we divide the weight in pounds by the conversion factor of 2,000 (since there are 2,000 pounds in a ton).
Supplier 1's weight in tons: 3,200 pounds / 2,000 = 1.6 tons
Supplier 2's weight in tons: 7,200 pounds / 2,000 = 3.6 tons
Supplier 3's weight in tons: 600 pounds / 2,000 = 0.3 tons
Now, we can calculate the total weight by summing up the weights from each supplier:
Total weight in tons: 1.6 tons + 3.6 tons + 0.3 tons = 5.5 tons
Therefore, the total weight of the grain purchase is 5.5 tons.
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Asphere has radius of 3 cm. What is the volume of the sphere?
Answer:
radius =3cm
volume of the sphere =4/3 πr^3
=4/3*22/7*3*3*3=88/7*3*3=88/7*9=792/7
=113.1cm^3
Solve for c 4(3+c)+c=c+4
Answer:
c= -2
Step-by-step explanation:
Which of the following is true?
|−6| < 5
|−6| < |5|
|−5| < |−6|
|−5| < −6
Answer:
Answer vary :
|-5| < |-6|
Step-by-step explanation:
honestly in my opinion that’s the answer.
‘these lines | change a negative number to a positive so if it changes -5 and -6 to positives.
wich makes |-5| < |-6| the right one.
and that’s how I came to that solution.
i need help with geometry!
Answer:
The answer is 142°.
Step-by-step explanation:
We know this because corresponding angles are always congruent. Thus, in the parallel lines m || n (with the transversal) a corresponding angles is exampled. Nonetheless, x would be equal to 142°.
Am I correct? >.<
Hopefully I helped! :)
Factorise these expressions
a.
[tex] {x}^{2} + 20x + 19[/tex]
b.
[tex] {z}^{2} - 2z + 1[/tex]
c.
[tex]9(x - 1) - 3x[/tex]
Answer:
a. (x+19)(x+1)
b. (z-1)(z-1)
c. 3(2x-3)
Step-by-step explanation:
a. x^2+20x+19
(x+19)(x+1)
b. z^2-2z+1
(z-1)(z-1)
c. 9(x-1)-3x
9x-9-3x
6x-9
3(2x-3)
A cone has a height of 12 yards and a radius of 7 yards. What is its volume?
Use ≈ 3.14 and round your answer to the nearest hundredth.
____ cubic yards
Answer:
615.44 cubic yards
Step-by-step explanation:
V = 1/3·π·7²·12