What is the slope ? Simplify your answer and write it as a proper fraction improper fraction or integer
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Related Questions
A right triangle has one angle that measure 23o. The adjacent leg measures 27.6 cm and the hypotenuse measures 30 cm. What is the approximate area of the triangle? Round to the nearest tenth. Area of a triangle = bh 68.7 cm2 161.7 cm2 381.3 cm2 450.0 cm2
Answers
Answer:
Option B is the correct answer.
Step-by-step explanation:
We have one side = 27.6 cm
Hypotenuse = 30 cm
Length of remaining side [tex]=\sqrt{30^2-27.6^2}=11.76cm[/tex]
Area of right angled triangle [tex]=\frac{1}{2}\times \texttt{Product of lengths of 2 sides other than hypotenuse}[/tex]
Area [tex]=\frac{1}{2}\times 27.6\times 11.76=161.7cm^2[/tex]
Option B is the correct answer.
How do I write the interval(s) for which f(x) is greater than or equal to 0 (interval notation)
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-2. This could be expressed as (-infinity, -2). Also, all x values greater than 0 also lead to a y-value greater than 0. Thus, another interval would be (0, infinity). Thus, the answer is (-infinity, -2) and (0, infinity).
To write intervals where f(x) is greater than or equal to 0, solve the equation f(x) >= 0 for x. The solutions are then expressed in interval notation. For instance, x >= 3 is written as [3, infinity).
To write the interval for which f(x) is greater than or equal to 0 in interval notation, you first need to establish where the function is above or touching the x-axis. With algebraic functions, you simply solve the equation f(x) >= 0 for x to find where the function is non-negative. You then write these solutions in interval notation. For example, if your solution was x >= 3, you would write this in interval notation as [3, infinity). Also, keep in mind that round brackets ( ) are used when the number is not included in the interval while square brackets [ ] are used when the number is included.
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The sum of two integers is 9 their difference is 5 what are the two integers
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solve for x
x-y=5 so substitute x by 9-y
9-y-y=5
9-2y=5 isolate
9-2y-9=5-9
-2y=-4 divide both sides by -2
-2y/-2=-4/-2
y=2 and x=9-2=7
check for x+y=9
7+2=9
check for x-y=5
7-2=5 so x=7 and y=2
The values of the two integers are 7 and 2 respectively.
Let the two integers be a and b respectively.In this exercise, you're required to determine two integers from the given word problem.
Thus, we would write a mathematical (algebraic expression) for the sentence.
Translating the word problem into an algebraic expression, we have;
The sum of two integers is 9;
[tex]a + b =9[/tex] ....equation 1.
The difference between the two integers is 5;
[tex]a - b = 5[/tex] equation 2.
Solving the systems of linear equations by using the elimination method, we have:
[tex]2a = 14[/tex]
Dividing both sides by 2, we have:
[tex]a = \frac{14}{2}[/tex]
a = 7
To find the value of y:
[tex]a + b =9\\\\7 +b=9\\\\b =9-7[/tex]
b = 2
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What is the value of the expression? ( 5/2 ) ^2 +3/4 ^3
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5/2 ^2 = 6 1/4 = 6.25
3/4^3 = 27/64 = 0.4201875
6 1/4 + 27/64 = 6 43/64 (mixed number)
6.25 +0.421875 = 6.671875 (decimal)
not sure what format you need, since the question was in fraction form, I think you need to answer using a mixed number though.
a 12000-gallon pool is being filled at a rate of 40 gallons per minute. at this rate, how many minutes will it take to fill this pool 3/4 full?
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12000* 3/4
=9000 gallons
If the rate is 40 gallons per minute,
9000/40
=225 minutes
It would take 225 minutes to fill up 3/4 of the pool.
Hope I helped :)
The number of minutes taken to fill the pool in three-fourths full is 225.
Given that,
There is a 12,000-gallon pool filled at the rate of 40 gallons per minute.And, there is three-fourths full.Based on the above information, the calculation is as follows:
[tex]= (12000 \times \frac{3}{4}) \div 40[/tex]
= 225 minutes
Therefore we can conclude that the number of minutes taken to fill the pool in three-fourths full is 225.
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What is the reason for each step in the solution of the equation? −5(x−6)=10x Drag and drop the reasons into the boxes to correctly complete the table.
Answers
-5x+30=10x
Second, you add 5 to both sides which is kind of like combining like-terms.
30=15x
Finally, you divide by 15 on both sides to get x by itself which will leave you with the solution to the equation.
2=x
That’s it.
Answer:
Step-by-step explanation:
-5(x -6) = 10x . . . . . given
-5x +30 = 10x . . . . distributive property of multiplication over addition
30 = 15x . . . . . . . . addition property of equality (5x was added to both sides)
2 = x . . . . . . . . . . . division property of equality (both sides were divided by 15)
hope this helped
What is the approximate value of x? Round to the nearest tenth.
A) 3.1 cm
B) 3.9 cm
C) 4.6 cm
D) 5.4 cm
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x = 6cm * sin(50) = 4.59
rounded to 4.6
Answer is C
Answer:
option C is correct
The approximate value of x is, 4.6 cm(nearest to tenth)
Step-by-step explanation:
In the given figure; the triangle is right angle triangle:
Label the figure:
then, the triangle XYZ is right angle triangle.
Using trigonometric ratio:
The ratio of the opposite side of a right triangle to the hypotenuse is called the sine. i.e,
[tex]Sine=\frac{opposite}{Hypotenuse}[/tex]
using sine ratio in triangle XYZ:
[tex]\sin 50^{\circ} = \frac{XY}{XZ}[/tex]
Substitute the value of XY = x cm and XZ = 6 cm in above ratio:
[tex]\sin 50^{\circ} = \frac{x}{6}[/tex] or
[tex]0.76604444247801 = \frac{x}{6}[/tex]
Simplify:
[tex]x= 4.59626665[/tex] cm
Therefore, the approximate value of x nearest to tenth is, 4.6 cm
What is the common difference for the sequence shown below? coordinate plane showing the points 1, 5; 2, 2; and 3, negative 1?
Answers
Answer:
the common difference of the sequence (d) = -3
Step-by-step explanation:
Given sequence is 1st term, 2nd term, 3rd term
= 5, 2, -1
It is an arithmetic sequence.
The common difference (d) = second term - first term
d = 2 - 5
d = -3
Therefore, the common difference of the sequence (d) = -3
Hope this will helpful.
Thank you.
A basket contains 13 pieces of fruit: 5 apples, 5 oranges, and 3 bananas. Jonas takes a piece of fruit at random from the basket, and then Beth takes a piece at random. What is the probability that Jonas will get an orange and Beth will get an apple?
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p(Jonas picks an orange) = 5/13
Beth: 1 of 5 apples out of 12 pieces of fruit
p(Beth picks an apple) = 5/12
p(Jonas picks an orange and Beth picks an apple) =
= p(Jonas picks an orange) * p(Beth picks an apple)
= 5/13 * 5/12
= 25/156
Answer:
The probability that Jonas will get an orange and Beth will get an apple
is 25/156
Suppose g(x) = f(x + 2) – 3. Which statement best compares the graph of g(x) with the graph of f(x)?
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Answer:
B. the graph of g(x) is shifted 2 units right and 3 units up
Step-by-step explanation:
just got it right
We conclude that g(x) = f(x – 2) + 3 means the graph of g(x) is shifted 2 units right and 3 units down. Option D is the correct answer.
The given function is g(x) = f(x + 2) – 3.
What is a function?A function is a relation for which each value from the set of the first components of the ordered pairs is associated with exactly one value from the set of second components of the ordered pair.
To shift a function right:
Subtract inside the function's argument. For example, f(x)-b is basically f(x) shifted b units to the right.
Subtracting inside the function's argument moves you to the right.
So, g(x) = f(x – 2) means f(x) is shifted two units to the right.
To move a function down:
Subtract outside the function. For example, f(x)-b is basically f(x) moved down 3 units.
So, g(x) = f(x – 2) + 3 means, f(x) is moved 3 units down.
Therefore, we conclude that g(x) = f(x – 2) + 3 means the graph of g(x) is shifted 2 units right and 3 units down. So, option D is the correct answer.
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Type the correct answer in the box. Use numerals instead of words. If necessary, use / for the fraction bar.
A coat hanger is in the shape of isosceles triangle ABC shown in the figure. Sides AB and BC are congruent.
if m<BAC=22, then m<ABC= ?
Answers
m<ABC = 180 - 2(22)
m<ABC = 180 - 44
m<ABC =136
Answer: m∠ABC=136°
Step-by-step explanation:
In the given figure we have a coat hanger is in the shape of isosceles triangle ABC.
Sides AB and BC are congruent.
The isosceles theorem says that the angles opposite to the equal sides of a triangle are equal.
Therefore, in ΔABC, we have
m∠BAC=m∠BCA
If m∠BAC=22°, then m∠BCA= 22°
By angle sum property , we have
m∠BAC+m∠BCA+m∠ABC=180°
⇒22°+22°+m∠ABC=180°
⇒m∠ABC+44°=180°
⇒m∠ABC=180°-44°=136°
⇒m∠ABC=136°
Therefore, If m∠BAC=22°, then m∠ABC=136°
karen has 12 apples. she gives 3 to john, 4 to lennard, and 2 to tracy. she then takes away 2 from john, 1 from lennard, and 1 from tracy. how many apples does she have now?
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Let's calculate how many apples the other people have and subtract how many she took away
John; 3-2=1
Lenard; 4-1=3
Tracy; 2-1=1
Now let's add the answers up to know how many she has given out
1+3+1=5
So that means she has lost 5 apples. To find how many she has left will be the total minus the apples given out.
12-5=7
She has 7 apples left
Hope that helped. Have a nice day
Write a number that is greater than 1 in scientific notation. explain how you know it is greater than 1
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The positive power of 10 shows that the number is greater than 1.
What is scientific notation?A given number, equation, or expression is written in a format known as a scientific notation, which adheres to a set of principles. Large numbers like 8.6 billion are difficult to write in their numerical form since they are not only unclear but also time-consuming, and there is a potential that we may write a few zeros more or less.
Given:
number that is greater than 1 in scientific notation.
So, to get know the number is greater than 1 we can tell it by seeing the power of 10.
If the powers of 10 is positive then the number is also greater than 10.
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assume that y varies inversely with x. if y=27 when x=12, find x when y=-12.
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27=k/12 => k=27*12=324
so the equation is y=324/x
when y=-12, -12=324/x => x=324/(-12)=-27
The polynomial function y = x3 -3x2 + 16x - 48 has only one non-repeated x-intercept. What do you know about the complex zeros of the function?
A) The function has one imaginary zero.
B) The function has one real zero and two imaginary zeros.
C) The function has one real zero and one imaginary zero.
D) The function has one imaginary zero and two real zeros.
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Your polynomial has real coefficients and is of degree 3.
It can have 0 complex roots, or it can have 2 complex roots.
It cannot have only 1 complex root.
The correct answer is
D) The function has one imaginary zero and two real zeros.
x = 3, 4i, -4i
Jack's overtime wage is $3 per hour more than his regular hourly wage. He worked for 5 hours at his regular wage and 4 hours at the overtime wage. He earned $66. Find his regular
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A garden table and a bench cost $799 combined. the garden table costs $49 more than the bench. what is the cost of the bench?
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The cost of the bench is $ 375
What is an Equation?
Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.
It demonstrates the equality of the relationship between the expressions printed on the left and right sides.
Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.
Given data ,
Let the cost of the bench be = B
Now , the equation will be
Let the cost of the table be = T
Now , the total cost of the table and bench = $ 799
Substituting the values in the equation , we get
B + T = 799 be equation (1)
And , garden table costs $49 more than the bench
So , T = 49 + B be equation (2)
Substituting the value of T from equation (2) in equation (1) , we get
B + 49 + B = 799
2B + 49 = 799
Subtracting 49 on both sides of the equation , we get
2B = 750
Divide by 2 on both sides of the equation , we get
B = $ 375
Therefore , the value of B is $ 375
Hence , The cost of the bench is $ 375
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A group of friends share slices of pizza.If each person gets 5 slices there will be 4 slices short.How many slices of pizza are there to share?
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The stores below each have the same snowboard for an original price of $189.59. At which store can you get the snowboard for the lowest price?
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Answer:
D. You can get the lowest price at Store C.
Step-by-step explanation:
Edge 2021
Please check and correct the following answers:
What decimal is equivalent to 72/100?
Is the answer 0.72?
Express 0.72 as a fraction in simplest form.
Is the answer 18/25?
What makes the statement true? 9^-2 = ?
Is the answer 1/81
Answers
A: What decimal is equivalent to 72/100?
Well, 72/100 means you have 72 out of 100. Meaning it's not a whole number, so this means as a decimal, your answer would be behind the decimal point.
Behind the decimal, you have 3 main places. Tenths, Hundredths, and Thousandths. It goes much further than that, of course, but most don't have to worry about those. 72/100 is represented as 72-hundredths, or .72
You are correct.
B: .72 as a fraction is 72/100. Simply divide by 2 until you simply can't anymore, this saves you time. 72/100 divided by 2 equally is 36/50. This divided by 2 equally is 18/25. This is the lowest form, you are correct.
C: Well, also simple. We know that when you have an exponent, you multiply the number by itself. 9^2 is 81, because 9*9=81. HOWEVER, this applies to only positive exponents. With negative exponents, you have to make it a fraction as 1. So, your answer is indeed 1/81
You are correct on all! Great job!
~Hope this helps!
The measure of an angle is 1/4 the measure of its complement. Find the measure of each angle
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complement means they add up to 90.
so both angles add up to 90 and one is 1/4 the other.
so if we set x = 1 the complement is 4x. together they make 5.
90/5=18
so one angle is 18 and the other is 72.
The two angles are 18 degrees and 72 degrees. The smaller angle is one-fourth of the larger, and they add up to 90 degrees because they are complementary.
Explanation:In mathematics, complementary angles are two angles whose measures add up to 90 degrees. Based on the question, let's denote the smaller angle as x and the larger angle (its complement) as y.
Given that x is 1/4 of y, we can write the equation x = y/4.
Also, since they're complementary, their measures add to 90 degrees, giving the equation x + y = 90.
From x = y/4, it can be inferred that y = 4x. Substituting y in the second equation we get x + 4x = 90, which simplifies to 5x = 90. Dividing both sides by 5, we have x = 18.
To find y, substitute x = 18 into the equation y = 4x, giving y = 4*18 = 72. Therefore, the measures of the two angles are 18 and 72 respectively.
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Is the sequence geometric? If so, identify the common ratio.
2, -4, -16, -36, ...
A. Yes; -2
B. Yes; 2
C. Yes; -3
D. No
Answers
Answer:
No this is not the sequence geometric.
Step-by-step explanation:
Given : 2, -4, -16, -36, ...
To find : Is the sequence geometric? If so, identify the common ratio.
Solution : We have given that 2, -4, -16, -36, ...
In a Geometric Sequence each term is found by multiplying the previous term by a constant.
Geometric Sequence like this:
{a, ar, ar², ar³, ... }
On comparing
2, -4, -16, -36, ...
{ 2 , 2 ×-2, 2×(-2)², 2×(-2)³..
So we get { 2, -4, -8, -16...
Therefore , No this is not the sequence geometric.
Since the quotient between consecutive terms is different, the sequence is not geometric, and the correct option is:
D. No Geometric sequence:In a geometric sequence, the quotient between consecutive terms is always the same, and it is called common ratio.
In this problem, the sequence is: {2, -4, -16, -36, ...}
[tex]-\frac{4}{2} = -2[/tex]
[tex]\frac{-16}{-4} = 4[/tex]
Different quotients, hence not geometric, and option D is correct.
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The table represents the height of a ball thrown up from the roof of a building, h(t), in meters, t seconds after it is thrown upward.
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C) The ball reaches its maximum height about 4 seconds after it is thrown
Answer:
A. The ball is at the same height as the building between 8 and 10 seconds after it is thrown.
C. The ball reaches its maximum height about 4 seconds after it is thrown
Step-by-step explanation:
edg.
Solve for the variable: 12.9 = x + 7.1 5.8 -5.8 20 -20
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subtract 7.1 from both sides to isolate the variable, x.
5.8 = x
5.8 is your answer.
The sum of two numbers is 28. one number is 14 more. find the numbers
Answers
_______________________________________
Explanation:
_______________________________________
The numbers are: "x" and "x + 14" .
x + (x + 14) = 28 . Solve for "x" ; and then solve for "x + 14" .
_______________________________________
→ x + (x + 14) = 28 ;
Rewrite as:
→ x + x + 14 = 28 ;
→ 1x + 1x + 14 = 28 ;
→ 2x + 14 = 28 ;
Subtract "14" from each side of the equation;
→ 2x + 14 − 14 = 28 − 14 ;
→ 2x = 14 ;
Divide EACH SIDE of the equation by "2" ;
to isolate "x" on one side of the equation; & to solve for "x" ;
→ 2x / 2 = 14 / 2 ;
→ x = 7 .
_________________________________________
So; one of the numbers is: " 7 " .
The other number is: " x + 14 " ; which equals: " 7 + 14 = 21".
The other number is: "21 " .
_________________________________________
The numbers are: "7 " and "21 " .
_________________________________________
A cyclist rides her bike at a speed of 12 kilometers per hour. What is this speed in kilometers per minute? How many kilometers will the cyclist travel in 5 minutes? Do not round your answers.
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The ratio of the angle measures of the acute angles in a right triangle is 1:2 . What is the measures of these angles a. 30 and 60 b. 45 and 90 c. 60 and 120 d. 10 and 20
Answers
Answer:
30 & 60
Step-by-step explanation:
The tutor is correct, besides the fact that the interior angles would equal 180, not 190. Typos happen.
Please help me
True or false. In order for a disjunction statement to be false, both of its component statements must be false. Explain.
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The answer is true. This was just on my quiz and I know its correct.
The accepted value of a length measurement is 200 cm and the experimental value is 198 cm what is the percent error
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= 99%
Percent Inaccuracy: 100-99%
=1% inaccuracy
Hope I helped :)
The percent error of the given problem is 1% inaccuracy.
How to calculate the percent error?Suppose the actual value and the estimated values after the measurement are obtained. Then we have:
Error = Actual value - Estimated value
We have been given that accepted value of a length measurement is 200 cm and the experimental value is 198 cm.
Actual value = 200
Estimated value = 198
The percent accuracy,
198/200 x 100%
= 99%
Therefore,
Error = Actual value - Estimated value
Percent Inaccuracy: 100 - 99%
= 1% inaccuracy
Hence, the percent error of the given problem is 1% inaccuracy.
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Arliss has two pieces of carpet runner. One is2/13 yards long and the other3/13
is yards long. She needs 10 yards of carpet runner altogether. How much more does she need to buy?
Answers
1. Add the two given fractions.
2. Subtract the sum from 10 to find your answer.
Answer:
5 2/3
Step-by-step explanation:i thought this problem was literally impossible to do and its stopped me from progressing but i finally found out the answer and here it is