If a = 5 and b = 7, what is the measure of ∠A? (round to the nearest tenth of a degree)
With assumptions about it being a *right* triangle and a and b being the legs, the answer is:
B) 35.5°
The diagram shows a sphere with center O and a radius of 6 inches that has been cut by a plane. The cross-section formed by the plane is shaded.
Which shape is a possible representation of the cross-section?
The cross-section of a sphere, cut by a plane, is always a circle, and the radius of this circle would be the same as the sphere, which is 6 inches.
Explanation:Given the description of the scenario in the question, the cross-sectional shape of the sphere formed after a plane cuts it is a circle. A spacer is always a circle when cut by a plane, no matter what direction the cut is made. If we think of the sphere as Earth, no matter where you slice it, you’ll get a circle. The diameter of this new circle would be identical to the diameter of the sphere, and hence, it’s got a radius of 6 inches.
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If 7/12x-1/3=1/2+3/8 what is the value of x
[tex]\dfrac{7}{12}x-\dfrac{1}{3}=\dfrac{1}{2}+\dfrac{3}{8}\\\\LCM(12,\ 3,\ 2,\ 8)=24\\\\\text{multiply both sides by 24}\\\\24\cdot\dfrac{7}{12}x-12\cdot\dfrac{1}{3}=12\cdot\dfrac{1}{2}+24\cdot\dfrac{3}{8}\\\\2\cdot7x-8=12+3\cdot3\\\\14x-8=12+9\\\\14x-8=21\qquad|\text{add 8 to both sides}\\\\14x=29\qquad|\text{divide both sides by 14}\\\\x=\dfrac{29}{14}[/tex]
To solve the equation, convert all fractions to have the same denominator. Then simplify the equation, and finally divide the obtained number by the coefficient of x to get the value of x.
Explanation:To solve the equation 7/12x-1/3=1/2+3/8, we first need to simplify both sides of the equation by converting all the fractions to have the same denominator, which, in this case, is 24.
So we obtain the equation:(14/24)x-8/24=12/24+9/24. After simplifying this equation, we get: (14/24)x = 29/24. Diving 29/24 by 14/24 will give us the value of x.
This process is very similar to the one used for solving linear equations, you must combine like terms and isolate the variable on one side of the equation to find the solution.
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Graph 24x+25=−6y+7 .
Use the line tool and select two points on the line.
I just need someone to explain where they would go on a graph
To graph 24x + 25 = -6y + 7, first rearrange it to the form y = mx + b. In our case, y = -4x -3. Plot the y-intercept (0, -3) first, then use the slope (-4) to find a second point (1, -7). Connect these points to form the graph.
Explanation:To graph the equation 24x + 25 = -6y + 7, the first step is to rewrite the equation in slope-intercept form, or y = mx + b, where m is the slope of the line and b is the y-intercept (where the line crosses the y-axis).
Add 6y to both sides of the equation 24x + 25 = -6y + 7 to get 6y = 24x + 25 - 7. Then, rearrange the equations and divide all terms by 6 to get y = -4x - 3.
Now, we can identify the slope and y-intercept. The slope (m) is -4 and the y-intercept (b) is -3. Using these, we can plot two points on a graph. The first point is the y-intercept which is at (0, -3), the point where the line crosses the y-axis.
The slope of -4 means for every step to the right on the x-axis, we go down 4 steps. Therefore, our second point would be at (1, -7). Connect these two points with a straight line, and you have graphed the equation.
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Graphing Polynomial Functions
Let's assume
'a' , 'b' are zeros
so, we will find total zeros from graph
We can curve touches x-axis
Let's assume it touches at x=b
so, there would be two zeros at x=b
it also crosses origin
so, another zero is at x=0
it crosses x-axis one more time
Let's assume that zeros at x=a
so, we have got four zeros
x=a,0,b,b
now, we can set up function
[tex]f(x)=(x-0)(x-a)(x-b)(x-b)[/tex]
we can also write as
[tex]f(x)=x(x-a)(x-b)^2[/tex].................Answer
Leah loves chicken a wings and is comparing the deals at three diffrent restaurants. Buffalo bills has 8 wings for $7 .Buffalo milds wings has 12 wings for $10 .Wingers has 20 wings for $17 .Which restaurant offers the lowest price per wing?
For each, divide the amount by the number of wings
7 divided by 8: 0.875 = $0.88 per wing
10 divided by 12: 0.8333 = $0.83 per wing
17 divided by 20: 0.85 = $0.85 per wing
Looking at each result, the middle one (the $10 for 12 wings) is the best deal
During a particular year, 77 graduating boys chose to attend a 4-year college, while 34 boys attended a 2-year college; 83 girls chose a 4-year college, and 33 attended a 2-year college. What conclusion can be drawn?
A) If you are a boy in this group, you are more likely to attend a 2-year college than a 4-year college..
B) If you are a girl in this group, you are more likely to attend a 2-year college than a 4-year college..
C) If you are a girl in this group, you are more likely to attend a 4-year college than a 2-year college..
D) Knowing if a person attended a 4-year college will help determine gender.
C) If you are a girl in this group, you are more likely to attend a 4-year college than a 2-year college..
The girls who are likely to attend 2-year college are 39.76% and who are likely to attend a 4-year college are 60.24%. That is option C is correct.
What is the conclusion?It is a process of making an important decision.
Given
During a particular year, 77 graduating boys chose to attend a 4-year college, while 34 boys attended a 2-year college.
83 girls chose a 4-year college, and 33 attended a 2-year college.
How to give a conclusion?The boys who are likely to attend 2-year college are 44.16% and who are likely to attend a 4-year college are 55.84%.
Similarly,
The girls who are likely to attend 2-year college are 39.76% and who are likely to attend a 4-year college are 60.24%.
Then, option C is correct.
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To model 15 – 11 on a number line, begin at _______ and travel 11 units to the left.
The answer is 15 cause you start at 15 and go from there
15 is the correct answer to the fill-in-the-blanks in this problem.
A scientist builds a Mars rover that can travel 4.9 centimeters per second on flat ground. If the rover continues at the same rate, how many centimeters will it travel in 15 1/2 seconds?
Do do this, you use the distance formula: time * speed = distance
So you do, 4.9 * 15.5 = 75.95
So, the rover will travel 75.95 centimeters in 15.5 seconds at a speed of 4.9 cm./s
The correct answer would be 75.95 centimeters
Do 0.3 and 3.0 have the same value? I’m not sure they aren’t but i’m checking
In your own words, describe what the word inclusive means. (mathmateics defenition)
endpoints of an interval
You can peel 4 potaoes in 10 minute. How long will it take you to peel 14 potatoes?
It will take 35 minutes to peel 14 potatoes
Hope this helps :)
Answer:
It will take 35 minutes to peel 14 potatoes
Step-by-step explanation: Brainly?
Which ordered pair comes from the table?
x y
3 4
4 4
5 2
6 5
A. (4, 3)
B. (5, 6)
C. (6, 5)
D. (2, 5)
Answer:
Option C is correct
(6, 5) ordered pair comes from the table
Step-by-step explanation:
For this, we must indicate which of the ordered pairs shown belongs to the given table.
x y
3 4
4 4
5 2
6 5
The ordered pair is in the form of (x, y).
Option A:
(x, y) = (4, 3)
This pair is not found in the given table.
Option B:
(x, y) = (5, 6)
This pair is not found in the given table.
Option C
(x, y) = (6, 5)
This pair is found in the last row of the given table.
Option D:
(x, y) = (2, 5)
This pair is not found in the given table.
Therefore, (6, 5) ordered pair comes from the table
Simplify step by step 1/3+6(2/3−1/6)2
To solve this problem you must apply the proccedure shown below:
1- Solve the substraction in the parenthesis and square it:
[tex]\frac{1}{3}+6(\frac{1}{2})^2\\\frac{1}{3}+6(\frac{1}{4})[/tex]
2- Apply the distributive property and solve the addition:
[tex]\frac{1}{3}+\frac{6}{4}\=\frac{11}{6}[/tex]
The answer is: [tex]\frac{11}{6}[/tex]
[tex]\frac{1}{3} +6(\frac{2}{3} - \frac{1}{6})^2[/tex]
first we simplify the parenthesis
To simplify the fractions inside the parenthesis , we make the denominators same
[tex]\frac{1}{3} +6(\frac{2*2}{3*2} - \frac{1}{6})^2[/tex]
[tex]\frac{1}{3} +6(\frac{4}{6} - \frac{1}{6})^2[/tex]
[tex]\frac{1}{3} +6(\frac{3}{6})^2[/tex]
Simplify the fraction 3/6
[tex]\frac{1}{3} +6(\frac{1}{2})^2[/tex]
Now we square 1/2
[tex]\frac{1}{3} +6(\frac{1}{4})[/tex]
Multiply 6 inside the parenthesis
[tex]\frac{1}{3} +\frac{6}{4}[/tex]
[tex]\frac{1}{3} +\frac{3}{2}[/tex]
Now make the denominators same to add fractions
[tex]\frac{1*2}{3*2} +\frac{3*3}{2*3}[/tex]
[tex]\frac{2}{6} +\frac{9}{6}[/tex]
[tex]\frac{11}{6}[/tex]
Graph y<1−3x .
Please only answer if you know what you're doing
y < 1 - 3x can alse be written as y < -3x + 1 (which crosses the y-axis at 1 and has a slope of -3 (aka rise over run of: down 3 and to the right 1)
The symbol (<) represents a dashed line that is shaded below.
Answer: A
!! Will give brainliest !!
A bicycle wheel with radius 26" rotates through an arc that measures 80°. What is the length of the arc of the tire that touched the ground?
2.88pi inches
5.78pi inches
11.56pi inches
hang on just a seci think i got it
Answer:
Option C is the correct answer.
Step-by-step explanation:
We have arc length = Radius x Angle in radian
Radius = 26 inches
[tex]\texttt{Angle rotated }= 80^0=80\times \frac{\pi}{180}=\frac{4\pi}{9}[/tex]
Arc length = [tex]l=\frac{4\pi}{9}\times 26=11.56\pi[/tex]
Length of the arc of the tire that touched the ground = 11.56π
Option C is the correct answer.
What is the probability the person is a clown, given they are a boy? (30 pts)
According to the table given:
Total number of students are = 20
Total number of boys are = 13 , out of which, 3 will be clowns, 2 will perform acrobats and 8 will be elephant trainers.
So, we have to find the the probability that the person(a boy) is a clown. The probability will be = [tex]\frac{3}{13}=0.230[/tex]
Hence, answer is 0.230
The probability the person is a clown, given they are a boy is:
0.23077
Step-by-step explanation:Let A denote the event that the person is a boy.
Let B denote the event that the person is a clown.
Then A∩B denote the event that the person is a boy and is a clown.
Let P denote the probability of an event.
Hence, from the table that is given to us we get:
P(A)=0.65
P(A∩B)=0.15
We are asked to find the probability the person is a clown, given they are a boy i.e. we are asked to find: P(B|A)
We know that:
[tex]P(B|A)=\dfrac{P(A\bigcap B)}{P(A)}[/tex]
Hence, from the given values we have:
[tex]P(B|A)=\dfrac{0.15}{0.65}\\\\\\P(B|A)=\dfrac{15}{65}\\\\\\P(B|A)=\dfrac{3}{13}=0.23077[/tex]
Hence, the probability is:
0.23077
If the water level at the lake continued to change at the same rate for 3 months in a row, explain how you could estimate the total change in water level at the end of the 3 month period.
The fraction is 7/8 is really close to 1, so you could estimate that the water level
changes by approximately -5 inches per month. The total change in the water
level at the end of the 3 month period would be approximately -15 inches.
Answer:
If the water level at the lake is decreased by the rate r each month, then the total change in water level at the end of the 3 month period is -3r.
Step-by-step explanation:
It is given that the water level at the lake continued to change at the same rate for 3 months in a row.
Let the water level at the lake is decreased by the rate r each month.
Change in the water level for 1 month period = -r units
Change in the water level for 2 month period = -2r units
Change in the water level for 3 month period = -3r units
So, we conclude that if the water level at the lake is decreased by the rate r each month, then the total change in water level at the end of the 3 month period is -3r.
Kiley had a piece of bamboo skewer that measured 15 3/5 inches long. She wanted to cut it into toothpicks that were each 3 1/5 inches long. How many toothpicks can she make?
4 is the max number of toothpicks you can make
4* 3 1/5= 12 4/5
5* 3 1/5=16 that's too many
Which numbers are a distance of 3 units from 12 on a number line? A number line ranging from negative 5 to 17. Select each correct answer.
The distance between A and B is d = |B - A|
We have d = 3 and A = 12.
Substitute:
[tex]|B-12|=3\iffB-12=3\ \vee\ B-12=-3\qquad|\text{add 12 to both sides}\\\\B=15\ \vee\ B=9[/tex]
Answer: 9 and 15.f(x) = {(1, 4), (2, 3), (5, 8), (4, 7)} Is f^-1(x) a function and why?
Yes, each element in the range has only one domain value.
Yes, each element in the domain has only one range value.
No, there are only a limited number of ordered pairs and can’t be determined.
No, we don’t know the original function and therefore can’t make the determination.
Answer:
a) Yes, each element in the range has only one domain value.
Step-by-step explanation:
To be a function a relation between two sets must follow at least one basic condition.
* All elements of the Domain must have its counterpart into the Range.
The question asks if an inverse function of this given one is still a function. Let's check it below.
That's why it's
a) Yes, each element in the range has only one domain value.
Yuki bought a pound of confetti for 12 dollars. What is the price in dollars for each ounce of confetti
1 pound = 16 ounces.
Divide by the cost by the number of ounces:
$12 / 16 ounces = 0.75 per ounce.
The cost per ounce is $0.75 (75 cents per ounce)
Which steps transform the graph of
y•x^2 to y = -2(x - 2)^2 + 2
Translate 2 units to the left, translate down 2 units, stretch by the factor 2
Translate 2 units to the right, translate up 2 units,stretch by the factor 2
Reflect across the x-axis, translate 2 units to the left, translate down 2 units, stretch by the factor 2
Translate 2 units to the right, reflect across x-axis, stretch by the factor 2, and translate up 2 units
Answer:
The correct option is the last one.
Step-by-step explanation:
To transform the graph of [tex]y = x ^ 2[/tex] into [tex]y = -2(x - 2) ^ 2 + 2[/tex] the following steps are fulfilled:
1) Move the graph 2 units to the right:
Let [tex]y = f (x-2)[/tex] then [tex]y =(x-2) ^ 2[/tex] Notice that the cut point has been moved to x = 2.
2) Reflect on the x axis:
To reflect a graph on the x-axis we do [tex]y = -f(x)[/tex] Then [tex]f (x) = -(x-2) ^ 2[/tex]
3) Stretch according to factor 2.
For this we do [tex]y = 2f(x)[/tex]
Then we have [tex]f(x) = -2 (x-2) ^ 2[/tex]
4) Move up the graph in two units:
We do [tex]y = f(x) +2[/tex]
Then [tex]y = -2(x-2) ^ 2 +2.[/tex]
These steps coincide with those listed in the last option. Therefore the correct option is the last one.
"Translate 2 units on the right, reflect on the x-axis, stretch according to the factor 2 and translate 2 units"
To transform the graph from y • x^2 to y = -2(x - 2)^2 + 2, you need to translate 2 units to the right, reflect across the x-axis, stretch by the factor 2, and translate up 2 units.
Explanation:The correct steps to transform the graph of y•x^2 to y = -2(x - 2)^2 + 2 are:
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Kyle swann 450 yards in 5 minutes. What is the average number of yards he swam per minute show the work
[tex]\frac{450 (yards)}{5 (minutes)} = \frac{90 (yards)}{1 (minute)}[/tex] = 90 yards per minute
The actual length of Lake Superior is 350 miles and the width is 160 miles. What's the length and width of the lake on a map if the scale is "1 cm = 25 miles"?
A. length: 6.4 cm, width: 14 cm
B. length: 14 cm, width: 6.4 cm
C. length: 7 cm, width: 3.2 cm
D. length: 3.2 cm, width: 7 cm
The correct option is: B. length: 14 cm, width: 6.4 cm
Explanation
The actual length of Lake Superior is 350 miles and the width is 160 miles.
The scale is given as: 1 cm = 25 miles
Suppose, the length and width of the lake on the map are [tex]x[/tex] cm and [tex]y[/tex] cm respectively.
First, the equation according to the ratio of scaled length to the actual length will be....
[tex]\frac{x}{350}=\frac{1}{25}\\ \\ 25x=350\\ \\ x=\frac{350}{25}=14[/tex]
Now, the equation according to the ratio of scaled width to the actual width will be....
[tex]\frac{y}{160}=\frac{1}{25}\\ \\ 25y=160\\ \\ y=\frac{160}{25}=6.4[/tex]
Thus, the length and width of the lake on the map will be 14 cm and 6.4 cm respectively.
What is the equation of the line represented by the table below?
The answer is choice D.
First, find the slope (m) using the formula: [tex]m=\frac{y_{2}- y_{1} }{x_{2} - x_{1} }[/tex]
[tex]m=\frac{11 - 6}{-1 - 0}[/tex] = [tex]m=\frac{5}{-1}[/tex] = -5
Next, plug in the slope (m) and ONE point (x₁, y₁) into the Point-Slope equation:
y - y₁ = m(x - x₁)
y - 6 = -5(x - 0)
y - 6 = -5x
y = -5x + 6
Answer: D
Simplify each expression using the order of operations. Then, match the expression (term) on the left with its solution (definition) on the right.
Match Term Definition
42 + 3 − 2(3) A) 18
22 ⋅ 8 ÷ 2 + 2 B) 44
(42 + 16) + 12 C) 75
8 ⋅ 32 + 3 D) 13
Using the order of operations, none of the provided expressions match with the given definitions (18, 44, 75, 13). It seems there's a mistake in the definitions.
Explanation:This question requires you to use the order of operations, sometimes remembered by the acronym PEMDAS: Parentheses, Exponents, Multiplication and Division (from left to right), Addition and Subtraction (from left to right).
For 42 + 3 − 2(3), first perform the multiplication: 2*3 = 6. Then add and subtract from left to right: 42+3-6 = 39. So it matches with none of the options given.For 22 ⋅ 8 ÷ 2 + 2, perform the multiplication and division from left to right: 22*8 ÷ 2 + 2 = 88+2 = 90. So it matches with none of the options given.For (42 + 16) + 12, handle the operations in the parentheses first: (42 +16) = 58. Then add 12: 58+12 = 70. So it matches with none of the options given.For 8 ⋅ 32 + 3, perform the multiplication first: 8*32 = 256. Then add 3: 256+3 = 259. So it matches with none of the options given.It appears there may be a mistake in the definitions, as none of the terms match with their respective definitions.
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Sofia measures the length of her car as 16 feet.
What is the greatest possible error?
____ feet
What is the margin of error?
_____ to ______ feet
Hello!
Sofia measures the length of her car as 16 feet.
What is the greatest possible error?
____ feet
What is the margin of error?
_____ to ______ feet
Answers:
A. 0.5 feet
B. 15.5 to 16.5
Sofia measures the length of her car as 16 feet So she measures the car to the nearest foot.
The rounding error can be +/- 0.5 feet
The greatest possible error is 0.5 feet
The margin of error is 15.5 to 16.5 feet
17.6 make a budget go math page 651 and 652
Doesn’t make sense !
Answer:179383764382340279370974087283506230757326520
Step-by-step explanation:ugly ms.smith order 5000000000 pizza and got fat like druwisfat and explosed and died bye bitsh
Use the substitution method to solve the system of equations. Choose the correct ordered pair.
2y + 4x = 18
2y – 3x = 4
A. (6, –3)
B. (5, –1)
C. (2, 5)
D. (3, 3)
Answer:
Option C is right answer.
Step-by-step explanation:
Given two equations as
2y + 4x = 18
2y – 3x = 4
We have to use substitution method.
From first equation find the value of y.
2y = 18-4x
Or y = 9-2x
Substitute this in II equation.
2(9-2x)-3x =4
18-4x-3x =4
-7x = 4-18 = -14
Divide by -7
x =2
Since y = 9-2x, substitute x=2 to get y
y = 9-2(2) = 5
Answer is (2,5)
To verify:
Substitute (2,5) in the given two equations to check.
2(5)+4(2) = 18 is right
2(5)-3(2) = 4 is also right.
Hence solution is (2,5)
Answer:
C. (2,5)
Step-by-step explanation: