Solution:
We know that:
A pair of supplementary angles always sum up to 180°This means that:
[tex]x + x + 126 = 180[/tex]Step-by step calculations:
Combine like terms and simplify:
[tex]x + x + 126 = 180[/tex]=> [tex](x + x) + 126 = 180[/tex]=> [tex]2x + 126 = 180[/tex]Subtract 126 both sides:
=> [tex]2x + 126 - 126 = 180 - 126[/tex]=> [tex]2x = 54[/tex]Divide 2 both sides:
=> [tex]\frac{2x}{2} = \frac{54}{2}[/tex]=> [tex]x = 27[/tex]This means that one angle is 27°. Let's find the other angle.
Finding the other angle:
[tex]27 + 126 = Other \space\ angle[/tex]=> [tex]153 \space\ = Other \space\ angle[/tex]Thus, the measure of the angles are 27° and 153°.
Answer:
27° and 153°
Step-by-step explanation:
Let "x" represent the angle.
We know that supplementary angles must add up to 180 degrees.
First, let's set up an expression for the supplement of the angle "x":
x+126
Now, let's use this information to set up an equation:
[tex]x+x+126=180[/tex]
Combine like terms:
[tex]2x+126=180[/tex]
Subtract 126 from both sides:
[tex]2x=54[/tex]
Divide both sides by 2
[tex]x=27[/tex]
The supplement would be:
[tex]x+126=27+126=153[/tex]
Therefore the measures of the two angles are:
27° and 153°
7780.05 = 28.25 x 13.5 x h . what is the height
h=20.4
Step-by-step explanation:
=> 7780.05 = 28.25 x 13.5 x h
multiply h by 13.5
=> 7780.05 = 28.25 x 13.5h
make h the subject of formula
=> 13.5h × 28.25 = 7780.05
Let's solve your equation step-by-step.
=> 13.5h(28.25)=7780.05
Step 1: Simplify both sides of the equation.
=> 381.375h=7780.05
Step 2: Divide both sides by 381.375.
=>[tex] \frac{381.375h}{381.375}= \frac{7780.05}{381.375}[/tex]
divide the numerators by the denominators
=> h=20.4
Round to the nearest hundredth 13.711309201
Answer: 13.71
Step-by-step explanation:
Hundredths is the second place
Answer:
13.71
Step-by-step explanation:
The hundredths place is the second decimal, and, since the decimal after that is a 1, you round down and get 13.71
when sunayana leaves for school the temperature is 12 degree celcius. By midday it is 26 degree celcius. How many degree has the temperature risen?
Answer:
14 degree
Step-by-step explanation:
First you will substrate 26 from 12 and the final result is 14
Marissa Palmer's charge account statement showed a previous balance of $142.55, a finance charge of $2.82, new purchases of $56.22 and $30.28, and a payment of $80.00. What is her new balance?
Answer:
Marissa Palmer owes $26.77
Step-by-step explanation:
142.55
- 2.82
56.22
30.28
80.00
____________
-26.77
5) Justin went cliff diving. He started out on a cliff that
was 8 feet above the water, and ended up 15 feet
below the surface of the water. How far away from his
starting point was he when he finished?
Number
Answer:
23
Step-by-step explanation:
8+15=23
in all, he moved 8 feet to the water, then another 15 feet below the water. this means that he ended up (8+15) feet from where he started.
Answer:
23
Step-by-step explanation:
Instructions: Name the type of angle relationship. Set up the
equation and solve for x.
X + 89
850
»
Angle Relationship: These are
angles.
Equation:
Solve: 2
Check
Answer:
interior alternative angles
x=--4°
Step-by-step explanation:
please mark me as brainlest
Maya used a recipe in which 2 tablespoons of vinegar were mixed with 3 tablespoons of olive oil. Which statement about the amount of vinegar mixed with olive oil is true?
2 over 3 tablespoon of vinegar is mixed with every tablespoon of olive oil because the ratio of vinegar to olive oil is 2:3.
2 over 3 tablespoons of vinegar is mixed with every 5 tablespoons of olive oil because the ratio of vinegar to olive oil is 2:5.
2 over 5 tablespoons of vinegar is mixed with every 5 tablespoons of olive oil because the ratio of vinegar to olive oil is 2:5.
2 over 5 tablespoon of vinegar is mixed with every tablespoon of olive oil because the ratio of vinegar to olive oil is 2:3.
Answer:
Step-by-step explanation: becuase if the ratio is 2:3 then the ratio reduced to 1 would be 2/3:1
Answer:
(First Option): 2 over 3 tablespoon of vinegar is mixed with every tablespoon of olive oil
Step-by-step explanation
For every 2 tablespoons of vinegar, it was mixed with 3 tablespoons of olive oil. This leads to a ratio of 2:3, and that rules out option 2 and 3. To get the unit rate we divide 2 tablespoons of vinegar by 3 tablespoons of olive oil. This means that there is 2/3 tablespoons of vinegar for every tablespoon of olive oil and leads it to be answer choice 1.
A water bottle has 16.9 fluid ounces of water. What is the total amount of water in a pack of 6 bottles?
Answer:
101.4 floz
Step-by-step explanation:
If I'm correct, you should multiply 16.9 by 6 because there are 6 bottles and each has 16.9 fluid ounces of water.
A water bottle has 16.9 fluid ounces of water, there would be a total of 101.4 fluid ounces of water.
We are given that each water bottle contains 16.9 fluid ounces of water. This is the capacity or volume of a single bottle.
To find the total amount of water in a pack of 6 bottles, we can multiply the amount of water in one bottle by the number of bottles in the pack.
Amount of water in one bottle: 16.9 fluid ounces
Number of bottles in the pack: 6
Total amount of water in the pack: 16.9 fluid ounces/bottle * 6 bottles = 101.4 fluid ounces
Therefore, there would be a total of 101.4 fluid ounces of water in a pack of 6 bottles.
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what is 11+11=
a. 22
b. window
c. too hard
d. pineapple aPpLe PeN
Answer:
22
Step-by-step explanation:
Answer:
probs D
Step-by-step explanation:
i got A but im really thinking D hmm
What is the mean of this data set?
{14, 7, 2, 8, 3}
Enter your answer as a decimal in the box.
Answer:
Mean = 6.8
Step-by-step explanation:
Given data set :-
{14, 7, 2, 8, 3}
To find :-
Mean
Solving :-
Take sum of given data and divide by number of data pieces.
=> 14 + 7 + 2 + 8 + 3 / 5
=> 34 / 5
=> 6.8
Solution :-
Mean = 6.8
Given set of data :
{ 14,7,2,8,3 }To find :
Mean = ?Solution :
[tex] \qquad \sf \to \: mean = \frac{sum \: of \: observations}{total \: no. \: of \: observations} [/tex]
Total number of observations = 5[tex] \qquad \tt\longmapsto\: mean = \frac{14 + 7 + 2 + 8 + 3}{5}[/tex]
[tex] \qquad \tt\longmapsto\: mean = \frac{34}{5}[/tex]
[tex] \qquad \tt\longmapsto\: mean = 6.8[/tex]
Critical Thinking: Data Transformation In this problem, we explore the effect on the standard deviation of multiplying each data value in a data set by the same constant. Consider the data set 5, 9, 10, 11, 15.
(a) Use the defining formula, the computation formula, or a calculator to compute s.
(b) Multiply each data value by 5 to obtain the new data set 25, 45, 50, 55, 75. Compute s.
(c) Compare the results of parts (a) and (b). In general, how does the standard deviation change if each data value is multiplied by a constant c?
(d) You recorded the weekly distances you bicycled in miles and computed the standard deviation to be s 3.1 miles. Your friend wants to know the standard deviation in kilometers. Do you need to redo all the calcula- tions? Given 1 mile 1.6 kilometers, what is the standard deviation in kilometers?
Answer:
Kindly check explanation
Step-by-step explanation:
Given the data : 5, 9, 10, 11, 15
s = √[(ΣX - m)² / (n - 1)]
n = number of sample = 5
m = mean
m = ΣX/n
m = (5 + 9 + 10+ 11 + 15) / 5
m = 50/5 = 10
s =√((5-10)^2 + (9-10)^2 + (10-10)^2 + (11-10)^2 + (15-10)^2) / 5-1
= 3.601
(B) Multiply each data value by 5 to obtain the new data set 25, 45, 50, 55, 75. Compute s.
m = ΣX/n
m = (25 + 45 + 50 + 55 + 75) / 5
m = 250/5 = 50
s =√((25-50)^2 + (45-50)^2 + (50-50)^2 + (55-50)^2 + (75-50)^2) / 5-1
= 18. 028
(c) Compare the results of parts (a) and (b). In general, how does the standard deviation change if each data value is multiplied by a constant c?
The standard deviation changes by almost c times multiplied by the initial value.
3.601 * 5 = 18.005 which is almost equivalent to 18.028
(d) You recorded the weekly distances you bicycled in miles and computed the standard deviation to be s 3.1 miles. Your friend wants to know the standard deviation in kilometers. Do you need to redo all the calcula- tions?
No
Given 1 mile 1.6 kilometers, what is the standard deviation in kilometers?
If 1 mile = 1.6km
s = 3.1 miles
s in kilometers = (1.6 * 3.1) = 4.96km
2. Multiply and simplify
(x^13-x^3+x^2+x-1)/(x*(x+1)*(x-1))
Now consider a different situation. Payday loans are a type of loan where you can get money tor a future paycheck, typically two weeks in advance. Atypical payday loan Service might charge $15 for a loan against a paycheck you will receive in wo weeks. The interest rate is 10% of the paycheck Over that two-week period. Given this information, which variableS nthe interest formula are known? Develop a formula that Will solve for the unknown variable:
Answer:
Step-by-step explanation:
payday loans work, typical interest rate range, fees, payday loan. If you can't repay the loans – and the Consumer Financial Protection Bureau says payday loans don't get paid back in two weeks – then your interest rate soars to paycheck or give the payday lender electronic access to withdraw funds from.
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3x + 18y = 1 what is the slope intercept form?
Answer:y=-1/6*x-1/18
Step-by-step explanation:answer = y=-1/6*x-1/18
18y=1-3x
y=1/18-3/18x
y=-1/6*x-1/18
1
Caleb finishes breakfast at 7:15 AM. Tell
what time he started breakfast if it took
the given number of minutes.
a. 10 minutes
b. 15 minutes
C. 20 minutes
d. 25 minutes
e. 26 minutes
The test scores for the chapter 5 test in algebra I were: 75, 95, 90, 95, 60, 95, 75, 95, 90
Question:
a. find the mean, median, mode, and range of the data
b. Which measure best describes the set of data? Why?
c. if test scores of 65 and 75 were added to the set, what would happen to the mean?
Answer:
Mean: 85.55
Median: 90
Mode: 95
Rage of Data: 35
Step-by-step explanation:
B) the mean is widely preferred as the best measure of central tendency because it is the measure that includes all the values in the data set for its calculation, and any change in any of the scores will affect the value of the mean.
C) the mean would become smaller.
James bought the computer which was discounted from $350 to $273. What is the discount rate?
Explanation:
amount saved = 350-273 = 77 dollars.
Divide this amount over the original price
77/350 = 0.22 = 22% is the discount rate
What is the value of x in the triangle?
A: 10/2
B: 10
C: 20
D 20/2
E: 10/3
Answer:
[tex]A. 10\sqrt{2}[/tex]
Step-by-step explanation:
The triangle is a 45-45-90 triangle, which has the property that the side across from the 90°, in this case, x, is equal to one of the other sides multiplied by [tex]\sqrt{2}[/tex].
So:
10 x [tex]\sqrt{2}[/tex] = [tex]10\sqrt{2}[/tex]
The value of x in the given triangle is 10√2. So, correct option is A.
In triangle ABC, since angle B is a right angle, we can use the Pythagorean theorem to find the length of side AC (denoted by x).
The Pythagorean theorem states that in a right-angled triangle, the square of the length of the hypotenuse (the side opposite the right angle) is equal to the sum of the squares of the lengths of the other two sides.
In this case, AB and BC are the two sides adjacent to the right angle:
AB² + BC² = AC²
Substitute the given values:
10² + 10² = x²
100 + 100 = x²
200 = x²
Now, to find the value of x, take the square root of both sides:
x = √200
Simplify the square root:
x = √(100 * 2)
x = 10√2
So, the value of x in the triangle is 10√2.
The correct answer is A: 10√2.
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Use a net to find the surface area of the right triangular prism shown:
(I’ll give you 50 points)
The surface area of the right triangular prism is 270 sq ft
Total surface ara of the prismThe total surface area of the prism is the sum of all the area of its faces
For the two triangles
A = 2(0.5bh)
A = bh
A = 7 * 12 = 84 sq.ft
For the two rectangles
A = 2lw
A = 2(6*12)
A = 2 * 72 = 144 sq.ft
For the third triangle;
Area 6ft * 7ft
Area = 42 sq.feet
Taking the sum of the areas
TSA = 84 + 144 + 42
TSA = 270 sq ft
Hence the surface area of the right triangular prism is 270 sq ft
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1) A class of 449 students went on a field trip.
They took 11 velvicles, some cars and some
buses. Find the number of cars and the
number of buses they took if each car holds
3 students and each bus hold 55 students.
Answer: A class of 449 students went on a field trip. They took 11 vehicles, some cars and some buses. Find the number of cars and the number of buses they took if each car holds 3 students and each bus holds 55 students.
Step-by-step explanation: they took 8 buses.
55 x 8 = 440
3 x 3 = 9
440 + 9 = 449
A person wants to order ferns for his garden He checked the price at a nursery and found that the nursery charges 89 for delivery and $5 for each plant ordered He also noted that there are no debvery charges lors
of $70 or more. Based on his findings, he wrote the following functions
f(n) = 9+ Sn to represent the cost of n plants when a delivery charge is included
• g(n) = 5n to represent tt» cost of n plants with no delivery charge
Match the domain to the function
All positive integers All integers greater than or equal to 70 All positive integers less than 70 All integers greater than or equal to 14
All non-negative integers less than 14 All non-negative integers less than 70 All positive integers less than 14
Domain
Function
g(n)
Answer:All non-negative integers less than 70 for f(n) and All integers greater than or equal to 70
Step-by-step explanation:
It asks about the price before and after the free delivery.I’m not the best at explaining but I hope my answer helped.
The domain of the given functions are required.
The domain of [tex]f(n)[/tex] is All non-negative integers less than 14.
The domain of [tex]g(n)[/tex] is All integers greater than or equal to 14.
When the order is less than $70 a delivery charge of $89 is added and each plant costs $5.
The function representing the situation is
[tex]f(n)=89+5n[/tex]
If the order is or more than $70 then the function will be
[tex]g(n)=5n[/tex]
The domain of a function is the permissible values of [tex]n[/tex] for which the function is valid.
In the first function the number of plants that need to be bought so that the order will be 70 dollars would be
[tex]\dfrac{70}{5}=14[/tex]
So, only if less than 14 plants are bought then the first function can be used.
Also, the number of plants cannot be negative or zero hence it will be positive.
So, the domain of [tex]f(n)[/tex] is All non-negative integers less than 14.
In the second function the number of plants has to be 14 or more as it costs 70 dollars or more.
So, the domain of [tex]g(n)[/tex] is All integers greater than or equal to 14.
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A ball is thrown straight up from the top of a building that is 400 ft high with an initial velocity of 64 ft/s. The height of the object can be modeled by the equation s ( t ) = -16 t2 + 64 t + 400.
In two or more complete sentences explain how to determine the time(s) the ball is higher than the building in interval notation.
Check the picture below.
the ball is higher than the building when y = 0, or namely when s(t) = 0, any other time is above it, and hmmm when it's that?
[tex]\stackrel{s(t)}{0}~~ = ~~-16t^2+64t+400\implies 0=-16(t^2-4t-25) \\\\[-0.35em] ~\dotfill\\\\ ~~~~~~~~~~~~\textit{quadratic formula} \\\\ 0=\stackrel{\stackrel{a}{\downarrow }}{1}t^2\stackrel{\stackrel{b}{\downarrow }}{-4}t\stackrel{\stackrel{c}{\downarrow }}{-25} \qquad \qquad t= \cfrac{ - b \pm \sqrt { b^2 -4 a c}}{2 a} \\\\\\ t= \cfrac{ - (-4) \pm \sqrt { (-4)^2 -4(1)(-25)}}{2(1)}\implies t=\cfrac{4\pm\sqrt{116}}{2}[/tex]
[tex]t=\cfrac{4\pm 2\sqrt{29}}{2}\implies t= \begin{cases} 2+\sqrt{29}~~\textit{\Large \checkmark}\\ 2-\sqrt{29} \end{cases}~\hfill \boxed{(0~~,~~2\sqrt{29})}[/tex]
notice, we can't use the 2-√29 because is a negative value and "t" is never negati ve, also notice the interval notation, we have parentheses on both sides.
Beth won 53 pieces of gum playing basketball at her school's game night. Later, she gave two to each of her friends. She only has 3 remaining. How many friends does she have?
In order for Tiger Woods to get the ball in the hole, he must get it within an area of 14.18 square inches. What is the approximate diameter of a golf hole?
30 points pls show work thank you so much!!!
It can be noted that the diameter will be 4.26 inches.
How to calculate the diameter?From the information given, the area has been given as 14.18 square inches.
Therefore, the diameter will be calculated thus:
πr²= 14.18
3.14 × r² = 14.8
r² = 14.18/3.14
r² = 4.5
r = 2.13
Therefore, the diameter will be;
= 2r
= 2 × 2.13
= 4.26 inches.
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use the distributive property to solve the equation
what is -7× + 5 =28
Answer:
x = -23/7
Step-by-step explanation:
-7x+5 = 28
You cannot use the distributive property to solve this
Subtract 5 from each side
-7x+5-5=28-5
-7x =23
Divide each side by -7
-7x/-7 = 23/-7
x = -23/7
Answer:
23/-7
Step-by-step explanation:
-7x + 5 = 28
-5 -5
-7x = 23
/-7 /-7
x = 23/-7
Patricia deposits 24% of her weekly paycheck into her savings account. This week, she deposits $120. How much was Patricia's total paycheck this week?
Answer:
$500
Step-by-step explanation:
To start, convert 24% to a decimal, or .24. Then, divide $120 by .24 to get the original amount, and you get $500. To check your work, you can multiply $500 by the 24% to make sure you get $120.
Hopefully this helps - let me know if you have any questions!
Find a quadratic funtion to model the values in the table. Predict the value of y for x=7
-1,1
0,4
3,-17
Answer:
i
Step-by-step explanation:
is this my question answer?
On a coordinate plane, a trapezoid has points H prime (negative 3, negative 2), J prime (negative 2, negative 3), K prime (negative 3, negative 4), G prime (negative 5, negative 2).
Trapezoid GHJK was rotated 180° about the origin to determine the location of G'H'J'K', as shown on the graph. What are the coordinates of pre-image point H?
(2, 3)
(–2, 3)
(3, 2)
(3, –2)
Answer:
(3 ,2 )
Step-by-step explanation:
Given that:
On a coordinate plane, a trapezoid has points
H prime (negative 3, negative 2),
J prime (negative 2, negative 3),
K prime (negative 3, negative 4),
G prime (negative 5, negative 2).
Trapezoid GHJK was rotated 180° about the origin to determine the location of G'H'J'K', as shown on the graph.
Thus, we get (3,2 )
~Lenvy~
(a) A square has a perimeter of 68 cm. What is the length of each side?
Answer:
17cm
Step-by-step explanation:
The perimeter of a square is the 4 sides added up, so we can just divide 4 by 68 to find out what one length is.
68/4= 17
We can prove this by adding it again.
17+17+17+17=68
The measure of angle B is 68 degrees. What is the measure of its supplementary angle?
112
suplementry angle add to 180 so 180_68=112