Answer:
56° and 124°
Step-by-step explanation:
If two angles are said to be supplementary then their sum is 180°
Let x = smaller angle
If the larger angle is 12 more than 2 times the smaller angle, then
⇒ larger angle = 2x + 12
Sum of the angles = 180°
⇒ x + 2x + 12 = 180
⇒ 3x + 12 = 180
⇒ 3x = 168
⇒ x = 56
Therefore, smaller angle = 56°
larger angle = 2(56) + 12 = 124°
Identify the congruent corresponding parts.
Pls help I need it pls
Answer:
Formula for area of triangle:
A = bh x 1/2
1) height is 8, and base is 8, so:
8(8) x 1/2 = 32 yd
2) height is 5, base is 6, so:
6(5) x 1/2 = 15 ft
3) height is 8, base is 10, so:
10(8) x 1/2 = 40 in
[tex] \tiny\int_{e}^{{e}^{2}} \left( \sqrt{x + \frac{1}{2} \sqrt{x + \frac{1}{4} \sqrt{x + \frac{1}{8} \sqrt{x + \frac{1}{16} \dots} } } } \: + \sqrt{x - \frac{1}{2} \sqrt{x - \frac{1}{4} \sqrt{x - \frac{1}{8} \sqrt{x - \frac{1}{16} \dots} } } } \right) dx \\ [/tex]
We have the identity
[tex]\left(\sqrt x + \dfrac1{2^n}\right)^2 = x + \dfrac1{2^{n-1}} \sqrt x + \dfrac1{2^{2n}}[/tex]
Take the square root of both sides and rearrange terms on the right to get
[tex]\sqrt x + \dfrac1{2^n} = \sqrt{x + \dfrac1{2^{n-1}} \left(\sqrt{x} + \dfrac1{2^{n+1}}\right)}[/tex]
Decrementing n gives
[tex]\sqrt x + \dfrac1{2^{n-1}} = \sqrt{x + \dfrac1{2^{n-2}} \left(\sqrt{x} + \dfrac1{2^{n}}\right)}[/tex]
and substituting the previous expression into this, we have
[tex]\sqrt x + \dfrac1{2^{n-1}} = \sqrt{x + \dfrac1{2^{n-2}} \sqrt{x + \dfrac1{2^{n-1}} \left(\sqrt x + \dfrac1{2^{n+1}}\right) } }[/tex]
Continuing in this fashion, after k steps we would have
[tex]\sqrt x + \dfrac1{2^{n-k}} = \sqrt{x + \dfrac1{2^{n-(k+1)}} \sqrt{x + \dfrac1{2^{n-k}} \sqrt{x + \dfrac1{2^{n-(k-1)}} \sqrt{\cdots \dfrac1{2^{n-1}} \left(\sqrt x + \dfrac1{2^{n+1}}\right)}}}}[/tex]
After a total of n - 2 steps, we arrive at
[tex]\sqrt x + \dfrac14 = \sqrt{x + \dfrac12 \sqrt{x + \dfrac1{2^2} \sqrt{x + \dfrac1{2^3} \sqrt{\cdots \dfrac1{2^{n-1}} \left(\sqrt x + \dfrac1{2^{n+1}}\right)}}}}[/tex]
Then as n goes to infinity, the first nested radical converges to √x + 1/4. Similar reasoning can be used to show the other nested radical converges to √x - 1/4. Then the integral reduces to
[tex]\displaystyle \int_e^{e^2} \left(\sqrt x - \frac14\right) + \left(\sqrt x + \frac14\right) \, dx = 2 \int_e^{e^2} \sqrt x \, dx = \boxed{\frac43 \left(e^3 - e^{\frac32}\right)}[/tex]
The manager of a grocery store wants to determine what proportion of people who enter
his store are his regular customers. What size sample should he take so that at 95%
confidence the margin of error will not be more than 0.1?
answer:
74
Step-by-step explanation:
The sample size for the given confidence interval is 96.
What is a confidence interval?A range of estimates for an unknown parameter is called a confidence interval (CI). A confidence level calculates a confidence interval; The most common confidence level is 95 percent. The confidence level is the percentage of corresponding CIs that contains the actual value of the parameter over time.
Given confidence of margin is at 95%
E = 0.1 = margin of error
95% confidence interval of Z = 1.96
sample size = n, which is given by
n = (Z/E)²(p)(1 - p)
n = (1.96/0.1)²(0.5)(0.5)
n = 96.04 = 96 approx
Hence, the sample size is 96.
Learn more about confidence intervals;
https://brainly.com/question/29680703
#SPJ2
What numbers could replace each letter to make both of the number sentences true?
N x N= 64
N x P= 56
5 meter by 5 meter and 1 meter by 1 meter is
Answer:
If you are asking the shape it's rectangle if you are asking 5x5 = 25 1x1 = 1
Please click on the picture and help me! I NEED THIS ASAP (BTW THIS IS FROM THE GIVER MOVIE AND BOOK) (20 points if you help me please someone help me!
Math: what kind of triangle do you have if it has an obtuse angle which measures more than 90, but less than 80? help please
Answer:
The triangle is obtuse if one angle is between 90º and 180º.
More : Acute < 90º, right = 90º, reflex > 180º (straight 180º, full rotation 360º)
Writing: A mistake has been made in the solution. Explain the error and how to correct it.
Answer:
The mistake was made in the second step when going from 3x - 2(3x-4) = 13 to 3x - 6x - 8 = 13.
The mistake was in the multiplication of -2(3x-4). The error is that the negative sign was not distributed to both the 3x and the -4.
-2 times 3x is -6x and -2 times -4 is positive 8
Step-by-step explanation:
y = 3x - 4
3x - 2y = 13
------------------------
3x - 2(3x - 4) = 13
3x - 6x + 8 = 13
-3x + 8 = 13
-3x = 5
x = -5/3
y = 3(-5/3) - 4
y = -5 - 4
y = -9
Solution: x = -5/3 and y = -9
A t-shirt was on sale for 25% off. The original price was $25.00. How much did you pay for
the t-shirt after the discount was taken off?
Answer:
$18.75
Step-by-step explanation:
25/4 = 6.25
25-6.25=18.75
$18.75
Determine whether the lines are parallel, perpendicular, or neither.
Explain your reasoning.
Answer:
Step-by-step explanation:
Parallel, if you think about it infinitely, the lines will go on forever, they will never touch each other, if so that means its parallel
Solve the system using substitution!
4x+4y=-2
y=-x
Worth (50 Points) If answered correctly
Solution:
Given that:
y = -x4x + 4y = -2Substitute the value of y into equation #2.
4x + 4(-x) = -24x - 4x = -20 ≠ -2Since the equation has no variable and is false, this system has no solution.
A muffin's label says the muffin has 400 calories per serving, with 2.5 servings per muffin. Kyle eats the entire muffin. What percent of Kyle's daily calories was the muffin, assuming a 2,000-calorie daily diet?
25%
40%
45%
50%
Answer:
50
Step-by-step explanation:
400x2.5
the Cinde of the radius (2) Evaluate x2 + y2 + 8x+6y=0 (a) (6 (5) 25 ( 4 (d) 5
x2+y2+8x+6y=0
x2+8x+6y+y=0
9x2+7y2
15x2y2
the area of a rectangle is 2x (length + breadth) true or false
Answer:
false
Step-by-step explanation:
to get the area of a rectangle u need to multiple length and width.
Answer:
false
Step-by-step explanation:
the given expression describes the perimeter.
the area is
length × width (or breadth or depth or whatever word applies best for the second dimension in a certain scenario)
Select the correct answer.
Which exponential equation is equivalent to this logarithmic equation?
log_2 x = 24
A. x^24 = 2
B. x^2 = 24
C. 2^24 = x
D. 2^x= 24
Answer:
I think its D
Step-by-step explanation:
10. Use the discriminant to find the values of b for which the equation 4x2 + bx + 1 = 0 has one real solution.
Answer:
b = 4, or -4
Step-by-step explanation:
b^2 - 4*4*1 = 0
b^2 = 16
b = 4, or -4
[tex] \displaystyle{ \rm{Simplify:-}}[/tex]
2 1/2×14/25÷{2/5÷(4/7-1/2)}
[tex] \frac{1}{4}[/tex] is the answer.
(I have included the answer as picture.)
[tex]\rm{Have \: a \: great \: day! \: :)}[/tex]
4. Jenny is a babysitter and she gets paid $35
for each toddler and $20 for each after school
kid. Write an algebraic expression that
describes her situation. Hint.... You may need
two variables because she is getting paid in two
different ways.
Answer:
35t + 20k
Step-by-step explanation:
Let t = number of toddlers.
Let k = number of kids.
Her pay is
35t + 20k
Karen runs each lap in 7 minutes. She will run more than 42 minutes today. What are the possible numbers of laps she will run today?
Use N for the number of laps she will run today.
Write your answer as an inequality solved for N.
Answer:
the answer for the question is N=6
Answer:
6 laps they will run
Step-by-step explanation:
I say 6 laps because if you do 42/7 then you will get 6 so 6 laps.
I need help with this one
Step-by-step explanation:
first lets do the bottom rectangular prism
v = l * w * h
l = 9
w = 3
h = 3
can you work out the volume and answer in the comments
How many real third roots does -343 have? Explain your reasoning.
Answer: One root
Explanation:
x^3 = -343
x^3 + 343 = 0
x^3 + 7^3 = 0
(x+7)(x^2 - 7x + 7^2) = 0 .... sum of cubes factoring rule
(x+7)(x^2 - 7x + 49) = 0
Set each piece equal to zero and solve for x.
You should find that the first piece x+7 = 0 leads to x = -7 as the only real root.
The other piece x^2-7x+49 = 0 leads to two non-real roots, ie complex roots.
here a subtraction problem that has been solved correctly for 68-59=9 but the choices is 9+68=77 68+9=77 9+59=68 which one is the addition sentence that checks the subtraction problem
Answer:
It's probably 9+59=68
Step-by-step explanation:
=> 9+59=68
68 - 59 gives you 9
So in order to check if the problem was solved correctly you will add the answer plus the subtraction of one number in the two numbers of subtraction
which means between the options 9 + 59 equals to 68 is absolutely the correct answer
Mangos cost $2.60 for 2 pounds. Pears cost $3.50 for 2.5 pounds. How much would 11 pounds of pears cost?
Answer:
Step-by-step explanation:
Can you guys please help me with these 2 questions
Answer:
4) a > b·sin(A) -- triangle exists
5) a > b·sin(A) -- triangle exists
Step-by-step explanation:
The triangle will exist when the missing angle value can be computed using the Law of Sines. That tells you ...
sin(B)/b = sin(A)/a
sin(B) = b·sin(A)/a
In order for the triangle to exist, we must have ...
1 ≥ sin(B)
1 ≥ b·sin(A)/a
a ≥ b·sin(A) . . . . . . . always true if a > b
__
4)a ? b·sin(A)
17 > 13·sin(63°) . . . . true (no calculator needed) triangle exists
__
5)a ? b·sin(A)
24 > 7·sin(120°) . . . . true (no calculator needed) triangle exists
_____
Additional comment
In general if b > a and the triangle exists, there will be two possible triangles with the given dimensions.
The only rational numbers that will give a right angle for B are ...
a=1, b=2, A=30° . . . . . and any multiples of these side lengths
If the expression 400(1.12)y gives the number of fish in a man-made lake y years after fish were placed in the lake, which statement is true?
The expression 400(1.12)^y is an exponential function
The true statement is that the growth rate of the fish in the lake is 12%
How to determine the true statement?The expression is given as:
400(1.12)^y
The above expression is an exponential growth function,
Where:
4000 represents the initial value1.12 represents the growth factorNext, we calculate the growth rate (r) as follows:
r = 1.12 - 1
r = 0,12
Express as percentage
r = 12%
Hence, the true statement is that the growth rate of the fish in the lake is 12%
Read more about exponential functions at:
https://brainly.com/question/11464095
Joel is training for soccer season.
On Monday, Joel exercises for 20 minutes before school, and 25% of that time is spent playing soccer.
On Monday, Joel exercises for 60 minutes after school, and 40% of that time is spent playing soccer.
What is the total amount of time, in minutes that Joel plays soccer?
PLEASE URGENT HELP PLEASE 100 POINTS PLUS BRAILIEST AND A GOOD REVIEW PKUS 20 COMMENTS IM BEGGING YOU PLEASE HELP ME
Answer:
part A:60
Step-by-step explanation:
25% of 20 is 5 now we know 40% of 60 which is 24 add 5+24=29 .hope this is helpful
What is the perimeter of the window?
Martin was born in 1996. His grandmother was born fifty-two years earlier. What year was Martin's grandmother born?
A. 2048
B. 2046
C. 1944
D. 1943
Answer:
option C is correct answer.
hope this helps you !
Caden exercises daily by walking on a treadmill. He sets the machine so that he will walk at a steady rate of 3.6 miles per hour.
a. If t represents time in hours and d represents distance in miles, write an equation that models the relationship between these variables.
b. Use your equation to calculate the distance Caden will walk in 3/4 of an hour.
c. Use your equation to calculate how long it will take for Caden to walk 4.32 miles.
Answer: For this question, the answers are as follows:
a) d = 3.6t
b) 10.8 miles
c) 1.2 hours
Step-by-step explanation:
Part A: The slope of a line is y=mx+b
equation for this part would be : d=mt
plug in the value: d=3.6t
Part B: The value of t is 3 hours
Plug everything in: 3.6 (3)= 10.8 miles
Part C: The Distance given is 4.32 miles.
4.32 miles = 3.6 hours
then divide both sides by 3.6
you get t=1.2 hours
Hope this helped and didn't confuse you!