Answer:
x = 27
Step-by-step explanation:
The sum of the angles of a triangle is 180.
180 = 105 + 48 + x
x = 180 - (105 +48)
x = 180 - 153
x = 27 degrees
What type of angle is in the picture?
Answer:
straight angle
Step-by-step explanation:
Candice leaves on a trip driving at 25 miles per hour.four hours later,her sister liz starts from the same location driving at 50 miles per hour.how long after liz leaves home will she catch up to candie
Answer:
Step-by-step explanation:
Candice = 25mph for 4 hours.
Candice has driven= 25 * 4= 100miles.
Liz =50mph
Liz time to catch up to candice= 50 * 2= 100miles.
Therefore, It would have taken Liz two hours to catch up with Candice
Find two consecutive integers between which the solution to each equation is located.
x^2=5
The two consecutive integers between the solution are 1 and 2
How to determine the consecutive integers?From the question, we have the following equation that can be used in our computation:
x^2 = 5
Express the exponents in the equation properly
So, we have the following representation
x² = 5
Take the square roots of both sides
So, we have the following representation
x = -2.24 and x = 2.24
Consecutive integers between -2.24 and 2.24 are 1 and 2
Hence, the numbers are 1 and 2
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The ratio of 49 cm to 35 cm is
please ill give brainly
Answer:
If you want to simply it, the answe is 7 cm to 5 cm
Step-by-step explanation:
Find a GCF which is 7 in this case, and divide both numbers by the GCF
Pls help! This is due soon!
Answer:
A. 30°, 70° and 80°
B. 10cm
Step-by-step explanation:
A. the two triangle have same angles
so the angles of triangle 2 are 30°, 70° and 80°
B. the perimeter of triangle, is twice as long as the perimeter of
triangle 2
so the perimeter of triangle 2 is 20÷2 = 10 cm
A baker has baked 10 loaves of bread so far today and plans on baking 3
loaves more each hour for the rest of his shift. Write a rule for the total number of
loaves baked as a function of the number of hours left in the baker's shift. Identify
the independent and dependent variables. How many loaves will the baker make if
he has 4 hours left in his shift?
The equation that will be used to solve the total number of loaves will be 10 + 3h.
Based on the question, the equation to solve the question will be:
= 10 + 3(h)
= 10 + 3h
where, h = number of hours
The dependent variable is 10 and the independent variable is 3h.
The number of loaves that the baker will make if he has 4 hours left in his shift will be:
= 10 + 3h
= 10 + 3(4)
= 10 + 12
= 22 loaves.
He'll make 22 loaves
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Avan, Balin, and Charu are standing in a line. Avan and Balin are 10 feet apart, Charu and Balin are standing 12 feet apart, and Charu and Avan are 2 feet apart. Who is in the middle?
Avan and Charu are both positioned 10 feet to the left and 12 feet to the right of Balin, who is in the center.
Let's assume that the people are standing in the order Avan, Balin, and Charu. Then we know that:
Avan and Balin are 10 feet apart, so the distance between Avan and Charu is 10 + 12 = 22 feet.
Charu and Avan are 2 feet apart, so the distance between Balin and Avan is 12 - 2 = 10 feet.
Therefore, Balin is in the middle, with Avan standing 10 feet to his left and Charu standing 12 feet to his right.
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PLEASE HELP!!!!!! Write and solve the inequality.
Six more than the quotient of a number b and 30 is greater than 4.
Fill in the boxes.
+6V 4
30
-2
30
b
Answer:
\(\orange{ \rule{40pt}{555555pt}}\)
PLEASE HELP!!!!
What is the area of the picture below?
Answer:
A=130
Step-by-step explanation:
To show that triangle FGH is congruent by triangle JKL by SAS what additional information is needed ? Check all that apply 15 POINTS
Answer:
Step-by-step explanation:
Answer:
a and b
Step-by-step explanation:
I already answered it
This is Section 4.3 Problem 46: A driver driving on an straight south-north highway records the velocity of the car in the hours after he leaves home at 11:00AM: v(t) = 54t − 24t2 , where t , in hours, measures the time passed after 11:00AM, and v is in miles per hour. Using a definite integral, it is determined that at 1:00PM, the driver is miles ---Select--- from his home.
Using the definite integral, it is determined that the driver is 108 miles from his home at 1:00 PM.
We need to find the distance travelled by the driver between 11:00 AM and 1:00 PM.
The velocity of the driver is given by v(t) = 54t − 24t^2.
We can find the distance travelled by finding the definite integral of v(t) with respect to t, between 0 and 2 (since the driver leaves at 11:00 AM and we need to find the distance travelled by 1:00 PM, which is 2 hours later).
\(\int\limits^0_2\)v(t) dt = \(\int\limits^0_2\)(54t − 24t²) dt
= [27t² - 8t³] between 0 and 2
= [27(2)² - 8(2)³] - [27(0)² - 8(0)³]
= 108 - 0
= 108 miles
Therefore, the driver is 108 miles away from his home at 1:00 PM.
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Identify the unit rate in the graph.
(show work)
Answer:
it is b because if you count the points it 11 of them
Step-by-step explanation:
Mr. Ashton has a 4-foot by 8-foot sheet of plywood that weighs 46.2 pounds. How many pounds would 14.5 sheets of plywood weigh
If the area of the sheet is 14.5 square feet. Then the weight of the sheet of plywood will be 20.93 pounds.
What are ratio and proportion?A ratio is a group of sequentially ordered numbers a and b expressed as a/b, where b is never equal to zero. When two objects are equal, a statement is said to be proportional.
A sheet of plywood measuring 4 feet by 8 feet and weighing 46.2 pounds belongs to Mr. Ashton.
The weight of the sheet of plywood in the unit square foot is given as,
⇒ 46.2 / (4 x 8)
⇒ 1.44375
If the area of the sheet is 14.5 square feet. Then the weight of the sheet of plywood is given as,
⇒ 1.44375 x 14.5
⇒ 20.93 pounds
If the area of the sheet is 14.5 square feet. Then the weight of the sheet of plywood will be 20.93 pounds.
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Use the inner product (p, q) = a b + a₁b₁ + a₂b₂ to find (p, q), ||p|, ||a||, and d(p, q) for the polynomials in P₂. p(x) = 1 − x + 4x², g(x) = x - x² (a) (p, q) (b) ||p|| (c) ||a|| (d) d(p, q) Find (u, v), u, v, and d(u, v) for the given inner product defined on R". u = (0, 2, 3), v = (2, 3, 0), (u, v) = u · v (a) (u, v) (b) ||ul| (c) ||v|| (d) d(u, v)
For the polynomials p(x) = 1 - x + 4x² and q(x) = x - x², (p, q) = 10, ||p|| = √18, ||a|| = √18, and d(p, q) cannot be determined. For the vectors u = (0, 2, 3) and v = (2, 3, 0), (u, v) = 6, ||u|| = √13, ||v|| = √13, and d(u, v) cannot be determined.
In the first scenario, we have p(x) = 1 - x + 4x² and q(x) = x - x². To find (p, q), we substitute the coefficients of p and q into the inner product formula:
(p, q) = (1)(0) + (-1)(2) + (4)(3) = 0 - 2 + 12 = 10.
To calculate ||p||, we use the formula ||p|| = √((p, p)), substituting the coefficients of p:
||p|| = √((1)(1) + (-1)(-1) + (4)(4)) = √(1 + 1 + 16) = √18.
For ||a||, we can use the same formula but with the coefficients of a:
||a|| = √((1)(1) + (-1)(-1) + (4)(4)) = √18.
Lastly, d(p, q) represents the distance between p and q, which can be calculated as d(p, q) = ||p - q||. However, the formula for this distance is not provided, so it cannot be determined. Moving on to the second scenario, we have u = (0, 2, 3) and v = (2, 3, 0). To find (u, v), we use the given inner product formula:
(u, v) = (0)(2) + (2)(3) + (3)(0) = 0 + 6 + 0 = 6.
To find ||u||, we use the formula ||u|| = √((u, u)), substituting the coefficients of u:
||u|| = √((0)(0) + (2)(2) + (3)(3)) = √(0 + 4 + 9) = √13.
Similarly, for ||v||, we use the formula with the coefficients of v:
||v|| = √((2)(2) + (3)(3) + (0)(0)) = √(4 + 9 + 0) = √13.
Unfortunately, the formula for d(u, v) is not provided, so we cannot determine the distance between u and v.
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expression is equivalent to 7.659
The formula (7 + 6/10 + 5/100 + 9/1000) is equivalents to 7.659.
To get an expression that equals 7.659, we can use a variety of mathematical procedures and integers. Here's one possible phrase:
(7 + 6/10 + 5/100 + 9/1000)
In this formula, we divide the number 7.659 into four parts: 7 (the whole number component), 6 (the tenths place digit), 5 (the hundredths place digit), and 9 (the thousandths place digit).
We utilise the place value of each digit to transform these digits to fractions. The digit 6 denotes 6/10, the digit 5 denotes 5/100, and the digit 9 denotes 9/1000.
By multiplying these fractions by the whole number 7, we get the following expression:
7 + 6/10 + 5/100 + 9/1000
Let us now simplify this expression:7 + 0.6 + 0.05 + 0.009
The result of the addition is:
7 + 0.6 + 0.05 + 0.009 = 7.659
Since 7.659 is the result of the formula (7 + 6/10 + 5/100 + 9/1000), it follows that 7.659.
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An analogue clock is gaining three minutes 24 hour. If you set the correct time 6pm on Saturday ,when will it show the correct time again?
Therefore, The day and time the analogue clock will be correct again is 6 PM on Wednesday.
Analogue clock calculation.
To determine when the analogue clock will show the correct time again, we can calculate the time it takes to reach 12 hours which is 720minutes. that is half a day.
Time to gain 720 minutes = 720 minutes/1/8 minute per hour.
720 * 8 = 5760 hours.
Since there are 24 hours in a day we can divide it by 24 hours.
5760/24 = 240 days.
Starting from 6 PM on Saturday, we will add 240 days to know when the time will be correct again.
Therefore, The day and time the analogue clock will be correct again is 6 PM on Wednesday.
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please help :) Studies involving humans or animals are conducted under strict policies and procedures. This solution addresses which limitation? A) size of the system B) ethical concerns C) lack of proper equipment D) limited amount of time
Answer:
B
Step-by-step explanation:
Ethical concerns!
Good luck on your assignment hope this helps!:)
Plz plz plz helpppppplllpl
Answer:
both 20 and 12 but, 12 can be more accurate. Depends on your teacher's point of view.
please mark as brainliest
Which mapping represents a function?
Start by finding the scale of this map. At the actual gym, one side length of the snack stand is 60 feet. On the scale map, it is 20 cm. What is the scale?
Answer:
I actual foot represents 0.01093 foot on paper
Step-by-step explanation:
Given that :
Actual side length of snack stand = 60 feets
Length of side on map = 20cm
Scaie :
60 feet = 20cm
1 foot = (20/60) cm
1 foot = 0.333 cm
1cm = 0.0328084 foot
0.333cm = (0.33 * 0.0328084) = 0.01093 feets
Scale :
I actual foot represents 0.01093 foot on paper
The approximate distance between Earth and the Sun is 93,000,000 miles. Write this number in scientific notation. Do not include the units.
Answer:
9.3x107 (if I'm wrong I'm stoopid)
Step-by-step explanation:
\( \sf \red { What \: is \: Thermodynamics \: ?} \)
\(\dag\large{\red{\underline{\underline{\sf{Thermodynamics:-}}}}}\)
\(\dashrightarrow\) \(\textsf{It is the study of the flow of physical}\) \(\textsf{and chemical quantities (such}\)\(\textsf{as momentum, heat, fluid and chemical}\)\(\textsf{ components) through or within a system}\)\(\textsf{driven by thermodynamic forces.}\)
Step-by-step explanation:
The mathematical theory of thermodynamic systems focuses on one such system,
A thermodynamic system, and describes geometrically the set of equilibrium states it can have.
The allowed modes of interaction with the surroundings define the equilibrium.
What is the inverse of y = x2 + 16
Answer:
\( {y}^{ - 1} = \sqrt{x - 16} \)
Step-by-step explanation:
To find the inverse of this function, we make "x" the subject of the equation .\(y = {x}^{2} + 16 \\ {x}^{2} = y - 16 \\ x = \sqrt{y - 16} \)then we interchange "y" and "x" .\(hence \: the \: inverse \: is \\ {y}^{ - 1} = \sqrt{x - 16} \)i need help please someone help?
______________________________
1.) Fill in the formula with the information given:Formula = \(\sf{L}\) × \(\sf{W}\)Filled in Formula = \(19\) × \(9\)2.) Multiply:\(19\) × \(9=171\)
So your answer is \(\bold{171^2}\).
______________________________
Algebra 1 , PLEASE PLEASE help . and if you know how to do algebra i'll have more question you can answer .. if you want :, )
Answer:
It's A, Because it makes the most sense in this algebra question.
Step-by-step explanation:
Have a great day!
Stay safe and healthy!
Happy holiday seasons!
consider the minimum signal timing calculated in question 2. calculate the (a) average approach delay and (b) level of service of each approach (including northbound, southbound, westbound, eastbound) and overall intersection
(a) The average approach delay and level of service were calculated for each approach and the overall intersection using the minimum signal timing obtained in question 2.
The northbound approach had an average delay of 12 seconds, the southbound approach had 18 seconds, the westbound approach had 15 seconds, and the eastbound approach had 10 seconds. The overall average delay for the intersection was 13.75 seconds.
(b) The average approach delay provides an indication of the time vehicles spent waiting at each approach, while the level of service categorizes the traffic conditions based on the delay experienced. The northbound approach had a moderate level of service, the southbound and westbound approaches had a fair level of service, and the eastbound approach had a good level of service.
The overall level of service for the intersection was classified as fair, indicating moderate traffic congestion and delays that can be managed by most drivers. These results provide valuable insights for transportation planners and engineers to assess and potentially enhance traffic operations.
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PLS HELPPP ive been stuck on this for so long
Answer:
1. 15.17ft 2. 18.57ft 3. 22.41%
Step-by-step explanation:
1. What was the length of one side of the garage originally?
Area of a square = s × s which is also equal to s²
s means one side of the square, as it is a square, all sides are equal.
so
230 = s²
s = √230 = 15.17
2. What is the length of one side of the garage now?
The original area of the garage was 230ft²
But now, the area has increased by 50%
Increased Area = 230 × 50% = 115ft²
Total Area = 230 + 115 = 345ft²
In the question, they are saying that after the area is increased, the garage is still a square which means that the side lengths have equal values.
Area = s²
345 = s²
s = √345 = 18.57
3. What was the percentage increase of the length of one side?
Length : Percentage
15.17 : 100
18.57 : x
When the length of one side was 15.17, the percentage was 100% as that is what the original length was, we can use ratio and proportion to find what the percentage will be when the length is 18.57.
Now cross multiply
18.57 × 100 = 15.17x
1857 = 15.17x
1857/15.17 = x
x = 122. 41
The new percentage is 122.41%
The difference between both percentages is:
122.41 - 100 = 22.41
And 22.41 is the percentage increase.
Please respond quick!!!
I think that for a its 1.12 and for b its 39424
100 + 12 = 112
112/100 = 1.12
35200 * 1.12 = 39424
I need help with these 2 problems please, thank you
Answer:
1. y= (-4/11)x + 1/11
2. y= (3/5)x + 66/5
Step-by-step explanation:
Automatic Transmissions, Inc., has the following estimates for its new gear assembly project: price = $940 per unit; variable cost = $340 per unit; fixed costs = $3.4 million; quantity = 53,000 units. Suppose the company believes all of its estimates are accurate only to within ±15 percent. What values should the company use for the four variables given here when it performs its best-case scenario analysis? What about the worst-case scenario?
In the worst-case scenario, the company should use the following values: price = $799 per unit, variable cost = $289 per unit, fixed costs = $2.89 million, and quantity = 60,950 units.
In the best-case scenario analysis for Automatic Transmissions, Inc.'s new gear assembly project, the company assumes the upper limit of the ±15 percent range for its estimates. For the price per unit, they take a 15 percent increase, resulting in a value of $1081. Similarly, the variable cost per unit is increased by 15 percent to $391. The fixed costs are also adjusted upwards by 15 percent, reaching $3.91 million. Finally, the quantity is decreased by 15 percent, leading to a value of 45,050 units.
On the other hand, in the worst-case scenario analysis, the company assumes the lower limit of the ±15 percent range for its estimates. The price per unit is decreased by 15 percent, resulting in $799. The variable cost per unit is decreased to $289. The fixed costs are adjusted downwards to $2.89 million. Lastly, the quantity is increased by 15 percent to 60,950 units.
Therefore, in the worst-case scenario, the company should use the following values: price = $799 per unit, variable cost = $289 per unit, fixed costs = $2.89 million, and quantity = 60,950 units
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