Step-by-step explanation:
length of arc=2πr(340/360)
= 2x3.14x3(0.944)
=17.78 approximately 17.8
If sin(2x + 7)degrees =cos(4x-7)degrees, what is the value of x?
Answer:
x = 15
Step-by-step explanation:
[tex]cosx = sin(\frac{\pi}{2} - x)[/tex]
[tex]sin x = sin y = > x = sin^{-1}(sin y) = y => x = y[/tex]
[tex]sin(2x + 7)^{\circ} = cos(4x - 7)^{\circ}\\\\sin(2x + 7)^{\circ} = sin(\frac{\pi}{2} - (4x - 7))\\\\(2x + 7) = (\frac{\pi}{2}- (4x -7))\\\\2x + 7 = \frac{\pi}{2} - 4x + 7\\\\6x = \frac{\pi}{2}\\\\x = \frac{\pi}{12}[/tex]
x = 15
The difference between two numbers is 51 four times the smaller is equal to six more than the larger what are the numbers
Answer:
Smaller #: 19
Larger #: 70
Step-by-step explanation:
Step 1:
We can set the smaller number as x. We can find the larger number by adding 51, hence represented as 51+x.
Step 2:
We can write an equation with the given information. Four times the smaller number is equal to six more than the larger:
[tex]4x=51+x+6\\3x=57\\x=19[/tex]
If the smaller number represented as x is [tex]\fbox{19}[/tex] , then the larger number represented as 51+x would be [tex]\fbox{70}[/tex] .
I hope this helps! Let me know if you have any questions :)
What is the range of the function in this table?
х y
1 2
2 4
3 3
4 2
a. (1,2), (2,4), (3,3), (4,2)
b. (1,2)
c. {1,2,3,4}
d. {2,3,4}
Answer:
4 is the range of the function
Wherever necessary.
10. Refer to the table to find the monthly payments necessary to complete parts a -C.
Table of Monthly Payments per $1,000 of Principal
Rale
1 yr
2 yr
3 yr
4 yr
5 ут
10 yr
6.50%
86.30
44.55
30.65
23.71
19.57
11.35
6.75%
86.41
44.66
30.76
23.83
19.68
11.48
7.00%
86.53
44.77
a. What is the monthly payment for a
$3,200 five-year loan with an APR of
9%?
b. Mia borrows$66,000 for four years at
an APR of 7.25%. What is the monthly
payment?
C. What is the total amount of the
monthly payments for a $6,100, two-
year loan with an APR of 8.75%?
Round to the nearest dollar.
30.88
23.95
19.80
11.61
7.25%
86.64
44.89
30.99
24.06
19.92
11.74
7.50% 86.76
45.00
31.11
24.18
20.04
11.87
7.75%
86.87
45.11
31.22
24.30
20.16
12.00
8.00%
86.99
45.23
31 34
24.41
20.28
12.13
8.25%
87.10
45.34
31.45
24.53
20.40
12.27
8.50%
87.22
45.46
31.57
24.65
20.52
12 40
8.75%
87 34
45.57
31.68
24.77
20.64
12 53
9.00%
87.45
45.68
31.80
24.89
20.76
12.67
Answer: 30,000
Step-by-step explanation:
1. The monthly payment for a $3,200 five-year loan with an APR of 9% is $63.
2. The monthly payment is $1,587.
3. The total amount of the monthly payments is $191.
a. From the table, we can see that the monthly payment per $1,000 principal for a five-year loan with a 9% APR is $19.57.
Since the loan amount is $3,200, we can calculate the monthly payment by multiplying the monthly payment per $1,000 principal by the number of thousands in the loan amount:
= $19.57 x (3,200 / 1,000)
= $62.624
= $63.
b. From the table, we can find that the monthly payment per $1,000 principal for a four-year loan with a 7.25% APR is $24.06.
We can calculate the monthly payment by multiplying the monthly payment per $1,000 principal by the number of thousands in the loan amount:
= $24.06 x (66,000 / 1,000)
= $1,586.76
= $1,587.
c. From the table, we can find that the monthly payment per $1,000 principal for a two-year loan with an 8.75% APR is $31.34.
We can calculate the total amount of monthly payments by multiplying the monthly payment per $1,000 principal by the number of thousands in the loan amount:
= $31.34 x (6,100 / 1,000)
= $191.234
= $191.
Learn more about Monthly Payment here:
https://brainly.com/question/26192602
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4. Becca wants to make a giant cherry pie to try to break the world record. If she succeeds in making a pie with a 20 foot diameter, what will be the total distance around the pie?
Answer:
62
Step-by-step explanation:
If Ali is x years old, write Omar’s age in terms of x if omar is 6 years younger
Answer:
[tex]\huge\boxed{Answer\hookleftarrow}[/tex]
Ali's age = x
Given that, Omar is 6 years younger than Ali
So, Omar's age = [tex]\large\bold{x - 6}[/tex]
✐ Omar's age in terms of 'x' is x - 6 years.
ʰᵒᵖᵉ ⁱᵗ ʰᵉˡᵖˢ
# ꧁❣ RainbowSalt2²2² ࿐
what two integers are closest to sqaure root of 193
Answer:
13 and 14
Step-by-step explanation:
Method I - use calculator to find the square root
√193 = 13.892443989449805
Two closest integers
13 and 14
Method II - figure the squares closest to 193
13² = 169
14² = 196
Now round 0.065 to the nearest hundredth.
0.065 rounds to?
Answer:
0.07
Step-by-step explanation:
To round a decimal to the nearest hundredth, look at the thousandths place.
If the number in the thousandths place is greater than or equal to 5, we will round up the hundredths place.
If it is smaller than 5, we will keep the number the same.
In the number 0.065, the thousandths place value is 0.005. So, we will round up the hundredths place.
The hundredths place value is 0.06, so we will round it up to 0.07.
So, 0.065 will round to 0.07.
Dan had a large piece of wood that was 10 feet
long. He cut the wood into smaller pieces, each
measuring 1/4 foot. How many pieces of wood
dd Dan cut?
Answer:
40 pieces of wood
Step-by-step explanation:
Find how many pieces he cut by dividing 10 by 1/4
10 / (1/4)
= 40
So, Dan cut 40 pieces of wood
Can someone help me find the slope of line RK
Answer:
The slope is equal to (4-(-5))/(-4-(-6)) which is equal to 4.5
Answer:
the slope for line RK is
m = 2/9
Step-by-step explanation:
Which of the binomials below is a factor of this trinomial?
x^2 + 13x+42
Answer:
x+6 and x+7
Step-by-step explanation:
Given the quadratic equation;
x^2 + 13x + 42
Factorize
x^2+13x+42 = 0
x^2 + 7x + 6x + 42 = 0
x(x+7)+6(x+7) = 0
(x+6)(x+7) =0
Hence the required binomials are x+6 and x+7
If you want to include closing costs of 5% with your down payment, how much additional money must you save per month?
Answer:
125.00
Step-by-step explanation:
A premature infant is gaining 2.5 ounces a day. At that rate, how many days will it take for him to gain 8 ounces
Answer:
3.2 days
Step-by-step explanation:
All you have to do is divide 8 by 2.5
8 ÷ 2.5 = 3.2
(Time expired.) The graph shows the system of equations below.
2 x minus 3 y = negative 6. y = negative one-third x minus 4
Which statement is supported by the graph?
A. The blue line represents the equation 2x-3y=6, and the solution to the system of equations is (–6, –2).
B. The blue line represents the equation 2x-3y=6, and the solution to the system of equations is ( –2, –6).
C. The red line represents the equation 2x-3y=6, and the solution to the system of equations is (2, –4).
D. The red line represents the equation 2x-3y=6, and the solution to the system of equations is (–4, 2).
Answer:
A. The blue line represents the equation 2x-3y=6, and the solution to the system of equations is (–6, –2).
Step-by-step explanation:
Here we have the system:
2x - 3y = -6
y = -(1/3)*x - 4
First, remember that if the slope is negative, then the equation is decreasing.
So, for the second equation, as x increases, y decreases, then the line of the second equation is the red one (because the red one decreases).
So the blue one represents the equation 2x - 3y = -6
Also remember that the solution of a system of equations is the point where the graphs of the equations intersect, here we can see that the intersection happens at the point (-6, - 2)
This means that the solution of the system is (-6, - 2)
From this, we can see that the correct option is:
A. The blue line represents the equation 2x-3y=6, and the solution to the system of equations is (–6, –2).
A: The blue line represents the equation 2x-3y=6, and the solution to the system of equations is (–6, –2).
Find the surface area of the triangular prism below. The bases each have an
area of 6 cm2 and a perimeter of 10 cm, and the altitude is 10 cm.
Answer:
112
Step-by-step explanation:
Help me plzzz please please pleaee
Claire completed the steps to solve the system of equations. 4 x minus 2 y = 4. 3 x + 3 y = 21. Step 1 12 x minus 6 y = 12. 6 x + 6 y = 42. Step 2 18 x = 54. Step 3 x = 3. Step 4 4 (3) minus 2 y = 4. 12 minus 2 y = 4. 2 y = negative 8. Y = negative 4. Step 5 Solution is (3, negative 4). Is Claire's solution to the system of equations correct? Explain why or why not.
Answer:
Claire should have gotten –2y = –8 instead of 2y = –8 in step 4.
Step-by-step explanation:
Following the steps taken :
4x - 2y = 4 - - - (1)
3x + 3y = 21 - - - (2)
Multiply (1) by 3 and (2) by 2
12x - 6y = 12 - - - (3)
6x + 6y = 42 - - - (4)
Add (3) and (4)
18x = 54
x = 54/18
x = 3
Put x = 3 in (1)
4(3) - 2y = 4
12 - 2y = 4
-2y = 4 - 12
-2y = - 8 (this is where the mistake lies)
It shouldn't be 2y = - 8 as stated
Answer:
The other dude is right.
Step-by-step explanation:
One week, Isabelle bought 2 bags of apples and 3 bags of oranges. The next week, she bought 1 bag of apples and 2 bags of oranges. If a represents the cost of each bag of apples and r represents the cost of each bag of oranges, which expression could Isabelle use to calculate the difference between the amounts she spent each week?
A. 3 a minus r
B. 3 a minus 5 r
C. (2 a minus 3 r) minus (a minus 2 r)
D . (2 a + 3 r) minus (a + 2 r)
Answer:
It should be D.
Find The Missing Angle Measure
A. 34
B. 90
C. 6
D. 23
please help me with this
The sum of the 3 inside angles equal 180
To find the missing angle subtract the 2 known angles from 180.
R = 180 - 114 - 32 = 34
R = 34 degrees
How to factor 8x^2+4−12
Step-by-step explanation: Subtract the numbers
8x^2+4-12=8x^2-8
Anaswer: 8x^2-8
If this wasn't the right answer sorry
Answer:
8x^2+4-12=64x+4-12
64x+4-12= 4(16x-3)
hope it helps!!!!!
PLEASE HELP ME!! ASAP
ANSWER EXPLANATION = BRAINLIEST & FIVE STARS
What is the value of cos Q?
Write your answer as a simplified fraction.
Explanation:
Divide the adjacent side UQ = 28 over the hypotenuse QE = 53 to form the cosine of Q. The adjacent side is the side closest to the reference angle. The hypotenuse is always opposite the right angle.
The fraction 28/53 cannot be reduced further since 28 and 53 have no factors in common other than 1.
Answer:
28/53
Step-by-step explanation:
To find the value of cos(Q), you need to divide the adjacent, 28, and the hypotenuse, 53. Dividing them results to 28/53, and simplified is, I don't think you can simplify that. This answer might not be totally correct.
Just remember in the future,
sin = opposite / hypotenusecos = adjacent / hypotenusetan = opposite / adjacentAnd you can use this link for help
https://www.mathsisfun.com/sine-cosine-tangent.html
2. A doctor created a scatterplot to show the relationship of heart rate to
blood pressure for some of her patients. The table below is the
data that the doctor collected.
Heart
Blood
Rate
Pressure
80
140
90
155
98
160
С
110
171
Which of these BEST describes the correlation for the data?
Answer:
Step-by-step explanation:
help me please [brainliest to best answer with explanation]
which type of data is best displayed in a histogram?
-----------------
AnswerC) The daily number of movie tickets sold in January.
-----------------------hope it helps..have a great day!!a. 11.2 in.
b. 19.6 in.
c. 25.2 in.
Find the value of X and Y in the parallelogram
Answer:
[tex]Find~x:-[/tex]
[tex]4x-37=49[/tex]
[tex]4x=49+37[/tex]
[tex]x=21.5[/tex]
[tex]Find ~y:-[/tex]
[tex]y/5=4x-3[/tex]
[tex]y=5(4*21.5-3)[/tex]
[tex]y=415[/tex]
----------------------hope it helps...have a great day!!Sabiendo que la tangente son 4/3 dime el cos y sen estando el angulo en el tercer cuadrante de la circunferencia
Answer:
sen α = - 4/5
cos α = - 3/5
Step-by-step explanation:
tang α = 4/3
De la relación fundamental de la trigonometría sabemos:
sen² α + cos²α = 1
Dividiendo la ecuación anterior por cos² α
sen²α/cos²α + cos²α / cos²α = 1 / cos² α
tang²α + 1 = 1/ cos² α
(4/3)² + 1 = 1/ cos² α ⇒ 16/9 + 1 = 1/ cos² α
1/ cos² α = ( 16 + 9 ) / 9
1/ cos² α = 25/9
cos² α = 9/25
cos α = 3/5
y para calcular el sen α
sen² α = 1 - cos²α
sen² α = 1 - 9/25
sen² α = ( 25 - 9 )/ 25
sen² α = 16/25
sen α = 4 / 5
Ahora bien el angulo α está en el tercer cuadrante, en ese cuadrante tanto el seno como el coseno son negativos.
Respuesta:
sen α = - 4/5
cos α = - 3/5
Please don't give me a link to the answer I can't open them.
From the graph it passes through (-4,2) and (4,-2)
Consider (-4,2) as (x1,y1)
(4,-2) as (x2,y2)
OPTION C
in the equation of y equals 2x - 4 what will be the value of y when x = 3
This is film in the blank Hera ware the two options
A. Independent
B. Dependent
Answer:
A. Independent
Step-by-step explanation:
if you subtract 1/2 from a number and multiply the result by 1/2 you get 1/8. what is the number?? (pls provide steps)
Answer:
[tex]Number\ is\ \frac{3}{4}[/tex]
Step-by-step explanation:
Let the number be x
Subtract 1/2 from x = (x - 1/2)
Multiply 1/2 to the result = 1/2(x - 1/2)
The result is 1/8
That is,
[tex]\frac{1}{2}( x - \frac{1}{2}) = \frac{1}{8}\\\\( x - \frac{1}{2}) = \frac{1}{8}\times \frac{2}{1}\\\\(x-\frac{1}{2}) = \frac{1}{4}\\\\x = \frac{1}{4} + \frac{1}{2}\\\\x = \frac{3}{4}[/tex]