Answer:
width is 8, length is 11
Step-by-step explanation:
The way in which to find the area of a 2D rectangle is to times length times width. If we assume that our with is 8, three more then that is 11, and obviously 8x11=88!
Hope you find this helpful and have a wonderful day!
Line m passes through points (3, 4) and (10, 8). Line n is parallel to line m. What is the slope of line n?
Answer:
4/7
Step-by-step explanation:
(8-4)/(10-3) = 4/7
parallel = same slope
Answer:
The slope of line n is 4/7
Step-by-step explanation:
First find the slope of line m
m = ( y2-y1)/(x2-x1)
m = (8 - 4)/(10 -3)
m = 4/7
Parallel lines have the same slope
The slope of line n is the same as slope of line m
The slope of line n is 4/7
What’s the difference between m=change in y and change in x and m =y2-y1and x2-x1
it's the same thing
\(slope = \frac{Δy}{Δx} or \frac{change \: in \: y}{change \: in \: x} = \frac{y2 - y1}{x2 - x1} = \frac{rise}{run} \)
Find the area of the triangle below.
Be sure to include the correct unit in your answer.
24 yd
30 yd
18 yd
The area is 108yd2(square yards).
In the given triangle a base
24yd and the corresponding height of 6 yds are given, so to calculate the area we can use:
A=12×b×h
If we substitute the given numbers we get:
A=\(\frac{1}{2}\)×24×18
=12×9
=108
The units of base and height are the same (yards), so the calculated area is in yd2
The area is the quantity that expresses the extent of a region on the plane or on a curved surface. the world of a plane region or plane area refers to the area of a shape or planar lamina, while area refers to the area of an open surface or the boundary of a three-dimensional object. The area is often understood as the amount of material with a given thickness that would be necessary to fashion a model of the shape, or the quantity of paint necessary to cover the surface with a single coat. it's the two-dimensional analog of the length of a curve (a one-dimensional concept) or the volume of a solid (a three-dimensional concept).
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please help!!! only 20 mins left
The rule of (x, y) → (-x, y), which is reflection over y-axis.
Given that, ΔABC maps to triangle ΔA'B'C'.
What is the reflection on y-axis?When you reflect a point across the y-axis, the y-coordinate remains the same, but the x-coordinate is taken to be the additive inverse. The reflection of point (x, y) across the y-axis is (-x, y).
The coordinate points of ΔABC are A(-4, 3), B(-3, -3) and C(1, 2) and the coordinate points of ΔA'B'C' are A'(4, 3), B'(3, -3) and C'(-1, 2).
Here, A(-4, 3) → A'(4, 3), x-coordinate is negated and y-coordinate remains same.
Similarly, B(-3, -3) → B'(3, -3) and C(1, 2) → C'(-1, 2) follows the same pattern.
From this, it is clear that the coordinates of triangle ABC is reflected on y-axis.
Therefore, the rule of (x, y) → (-x, y), which is reflection over y-axis.
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(07.03)
An equation is shown below:
5(2x - 8) + 15 = -15
Write the steps you will use to solve the equation and explain each step.
Answer:
x = 1
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
BracketsParenthesisExponentsMultiplicationDivisionAdditionSubtractionLeft to RightEquality Properties
Multiplication Property of EqualityDivision Property of EqualityAddition Property of EqualitySubtraction Property of EqualityAlgebra I
Terms/CoefficientsStep-by-step explanation:
Step 1: Define
5(2x - 8) + 15 = -15
Step 2: Solve for x
[Subtraction Property of Equality] Subtract 15 on both sides: 5(2x - 8) = -30[Division Property of Equality] Divide 5 on both sides: 2x - 8 = -6[Addition Property of Equality] Add 8 on both sides: 2x = 2[Division Property of Equality] Divide 2 on both sides: x = 1Step 3: Check
Plug in x into the original equation to verify it's a solution.
Substitute in x: 5(2(1) - 8) + 15 = -15(Parenthesis) Multiply: 5(2 - 8) + 15 = -15(Parenthesis) Subtract: 5(-6) + 15 = -15Multiply: -30 + 15 = -15Add: -15 = -15Here we see that -15 does indeed equal -15.
∴ x = 1 is the solution to the equation.
Answer: x=1
Step-by-step explanation:
Let's solve your equation step-by-step.
5(2x−8)+15=−15
Step 1: Simplify both sides of the equation.
5(2x−8)+15=−15
(5)(2x)+(5)(−8)+15=−15(Distribute)
10x+−40+15=−15
(10x)+(−40+15)=−15(Combine Like Terms)
10x+−25=−15
10x−25=−15
Step 2: Add 25 to both sides.
10x−25+25=−15+25
10x=10
Step 3: Divide both sides by 10.
10x/10=10/10
x=1Catarina’s boat has come untied and floated away on the lake. She is standing atop a cliff that is 35 feet above the water in a lake. If she stands 10 feet from the edge of the cliff, she can visually align the top of the cliff with the water at the back of her boat. Her eye level is 5½ feet above the ground. Approximately how far out from the cliff is Catarina’s boat? Round to the nearest foot.
If Catarina’s boat has come untied and floated away on the lake. She is standing atop a cliff that is 35 feet above the water in a lake. Approximately the distance from the cliff is Catarina’s boat is : 63.6ft.
What is distance?Distance can be defined as how far an object is from another object.
Now let find the distance:
AE/CD = BC/DE
Hence,
5.5/3.5 = 10/DE
Cross multiply
AE = 350/5.5
AE = 63.6ft
Therefore we can conclude that the distance is 63.6ft.
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When an object is weighed on a scale, the number displayed may vary from the object’s actual weight by at most 0.4 pounds. The scale says the object weighs 125.8 pounds. Part A: Write an absolute value inequality that describes the range of the actual weight of the object. Use the variable w to represent the actual weight of the object. Part B: Solve the absolute value inequality for w. Express your answer as a compound inequality.
The compound inequality that represents the range of the actual weight of the object is 125.4 ≤ w ≤ 126.2.
Part A: The absolute value inequality that describes the range of the actual weight of the object is:
|w - 125.8| ≤ 0.4
Part B: To solve the absolute value inequality, we can break it down into two separate inequalities:
w - 125.8 ≤ 0.4 and - (w - 125.8) ≤ 0.4
Solving the first inequality:
w - 125.8 ≤ 0.4
Add 125.8 to both sides:
w ≤ 126.2
Solving the second inequality:
-(w - 125.8) ≤ 0.4
Multiply by -1 and distribute the negative sign:
-w + 125.8 ≤ 0.4
Subtract 125.8 from both sides:
-w ≤ -125.4
Divide by -1 (note that the inequality direction flips):
w ≥ 125.4
Combining the solutions, we have:
125.4 ≤ w ≤ 126.2
The object is 125.4 ≤ w ≤ 126.2.
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quick easy math question please help write in fraction form brainliest will be awarded :)))
- \(\frac{5}{8}\) + \(\frac{3}{4}\)
Answer:
- 5/8 + 3/4 = 1/8
Step-by-step explanation:
I hope this helps!
(b) At the beginning of the term, Caroline bought p notebooks and Bert bought 5 notebooks less than Caroline. During the term, Caroline gave 2 of her notebooks to her sister. Caroline then had twice as many notebooks as Bert. By writing a suitable equation, calculate the number of notebooks Caroline now has.
The number of Caroline's textbook is 8
What is word problem?A word problem is a math problem written out as a short story or scenario. Basically, it describes a realistic problem and asks you to imagine how you would solve it using math. If you've ever taken a math class, you've probably solved a word problem.
Represent the Notebook bought by Bert as q
q = p-5
p-2= 2q
p = 2q +2
substitute 2q +2
q = 2q+2-5
2q-q = 3
q = 3
substitute 3 for q
3 = p-5
p = 5+3
p= 8
Therefore Caroline's number of notebook is 8
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can somebody help me?
Answer:
Yup ur answer is 20.5 ounces
Step-by-step explanation:
since there's an additional 2.25 ounces every second I multiplied 2.25 by 4
2.25•4=9
9 ounces added to the beginning 11.5 ounces equals 20.5 ounces that are now in the bowl
hope this helps <3
Harry is paid £8.60 per hour for the first 30 hours he works each week. After 30 hours he is paid 1 and a half times the hourly rate.
Last week Harry worked 33 hours. He was also paid a bonus of 1/10 of his earnings
Calculate how much in total Harry was paid last week
Answer:
1404.81
Step-by-step explanation:
1277.1 +127.71 = i read it wrong the first time sorry
The total amount paid to harry in past week, is 299.28.
What is amount?Amount is the sum or the total value.
For example, if A purchase 2 kg rice at the price of 40 rs/kg, the amount will be 40×2= 80 rs.
Given that,
The amount paid to Harry for 1 hour = $8.60
Since, Harry worked for 33 hours,
So, The amount paid to Harry for 33 hours = 8.60×33=283.8
Harry gets half times more amount than hourly rate and also gets bonus for last 3 days
So for last 3 days the extra amount paid to Harry
= 3×1/2×8.60+3×1/10×8.60
= 12.9+2.58
=15.48
So the total amount paid to harry = 283.8+15.48=299.28
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A streaming music channel always plays the same ratio of pop songs to
hip-hop songs. The point on the graph shows the number of hip-hop songs
played for every 3 pop songs. Based on the relationship in the graph,
how many hip-hop songs does the channel play for every 12 pop songs?
The number of hip-hop songs that the channel plays for every 12 pop songs is given as follows:
8 hip-hop songs.
How to obtain the number of hip-hop songs?The number of hip-hop songs is obtained applying the proportions in the context of this problem.
The point on the graph is (3,2), meaning that for every 3 pop songs, 2 hip -hop songs are played, hence the rule of three is given as follows:
3 pop songs - 2 hip-hop songs.
12 pop sings - x hip-hop songs.
Applying cross multiplication, the value of x is obtained as follows:
3x = 24
x = 24/3
x = 8.
Missing InformationThe point is (3,2).
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need help with this ASAP
!!!!!!!!!!!!!!!!!!!!!!!!
The fence in dead center is about 399 feet from the third base.
What is the Pythagorean Theorem?The Pythagorean Theorem states that in the case of a right triangle, the square of the length of the hypotenuse, which is the longest side, is equals to the sum of the squares of the lengths of the other two sides.
Hence the equation for the theorem is given as follows:
c² = a² + b².
In which:
c > a and c > b is the length of the hypotenuse.a and b are the lengths of the other two sides (the legs) of the right-angled triangle.For the triangle in this problem, we have that:
The sides are d ft and 90 ft.The hypotenuse is of 409 ft.Hence the distance is obtained as follows:
d² + 90² = 409²
\(d = \sqrt{409^2 - 90^2}\)
d = 399 ft.
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20 points!!!!!!!20 points!!!!!20 points!!!!!20 points!!!!!20 points!!!!!20 points!!!!!20 points!!!!!20 points!!!!!20 points!!!!!20 points!!!!!20 points!!!!!20 points!!!!!20 points!!!!!20 points!!!!!20 points!!!!!20 points!!!!!20 points!!!!!20 points!!!!!20 points!!!!!20 points!!!!!20 points!!!!!20 points!!!!!20 points!!!!!20 points!!!!!20 points!!!!!20 points!!!!!20 points!!!!!20 points!!!!!20 points!!!!!20 points!!!!!20 points!!!!!20 points!!!!!20 points!!!!!20 points!!!!!20 points!!!!!20 points!!!!!20 points!!!!!20 points!!!!!20 points!!!!!20 points!!!!!20 points!!!!!20 points!!!!!20 points!!!!!20 points!!!!!20 points!!!!!20 points!!!!!20 points!!!!!20 points!!!!!20 points!!!!!20 points!!!!!20 points!!!!!20 points!!!!!20 points!!!!!20 points!!!!!20 points!!!!!20 points!!!!!20 points!!!!!20 points!!!!!20 points!!!!!20 points!!!!!20 points!!!!!20 points!!!!!20 points!!!!!20 points!!!!!20 points!!!!!20 points!!!!!20 points!!!!!20 points!!!!!20 points!!!!!20 points!!!!!20 points!!!!!20 points!!!!!!!!!! In an animal shelter, the ratio of dogs to cats is 5 to 3. There are 25 dogs. Write and solve a proportion to find the number c of cats. due in 40 min
help
There are 15 cats in the animal shelter.
What is equation?An equation in which is the highest power of to the variables 1 is knowns as the linear equation. Mathematically: it is an algebraic equations that can be also written in the form of ax + b = 0 or ax + by + c = 0, where a, b and c are definitely real numbers and x and y are variables with the highest power one.
In order to solve this problem, we must set up a proportion. Proportions are an equation that states that two ratios are equal. In this case, we are looking for the number of cats (c) in the animal shelter.
Let's set up the proportion.
5/3 = 25/c
We can then solve for c by multiplying both sides by c.
5c/3 = 25
c = 15
Therefore, there are 15 cats in the animal shelter.
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HELP PLEASE FAST!!!!!
Answer: first choice is correct
Step-by-step explanation:
\(\sqrt{10} = 3.16\\\\ \sqrt{13} = 3.6\)
22/9 = 2.44
Therefore Point A is 22/9, Point B is \(\sqrt{10}\), Point C is \(\sqrt{13}\)
What’s the answer to If =3+23
, what is
when =1
and =2
?
The value of y when a = 1 and b = 2 is 22.
How to solve an equation?The equation of can be solved as follows: We will substitute the value of a and b in the equation to find the value of y.
Therefore,
y = 3ab + 2b³
Let's find y when a = 1 and b = 2
Hence,
y = 3(1)(2) + 2(2)³
y = 6 + 2(8)
y = 22
Therefore,
y = 22
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What is the mean? If the answer is a decimal, round it to the nearest tenth. 46026594
Answer:
28
With the mean, you have to add up the scores and subtract by the total values.
The only score number I know of is 20, so I just added up the values.
Hope this helps, let me know.
What is the slope of the line through (13,6) and (13,-11)
Answer:
Undefined
Step-by-step explanation:
Indicate the equation of the given line in standard form. The line containing the altitude to the hypotenuse of a right triangle whose vertices are P(-1, 1), Q(3, 5), and R(5, -5). Show calculations.
The linear function containing the altitude to the hypotenuse of a right triangle whose vertices are P(-1, 1), Q(3, 5), and R(5, -5) is given as follows:
y = -5x + 20.
How to define the linear functions?The slope-intercept definition of a linear function is given as follows:
y = mx + b.
In which:
m is the slope, representing the rate of change.b is the intercept, representing the value of y when x = 0.The hypotenuse is composed by segment QR, hence the points are:
Q(3,5) and R(5,-5).
The slope is given by the change in y divided by the change in x, hence:
m = (-5 - 5)/(5 - 3)
m = -5.
Hence:
y = -5x + b.
When x = 3, y = 5, hence the intercept b is obtained as follows:
5 = -15 + b
b = 20.
Hence the equation is:
y = -5x + 20.
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Let R be the relation defined on Z by aRb if a + b is even. Show that R is an
equivalence relation.
R s an equivalence relation on the set of integers Z using the properties of reflexivity, symmetry, and transitivity.
To show that the relation R defined on the set of integers Z is an equivalence relation, we need to demonstrate that it satisfies three properties: reflexivity, symmetry, and transitivity.
Reflexivity: For any integer a, a + a = 2a, which is always even. Therefore, aRa holds true for all integers a, showing that R is reflexive.
Symmetry: If aRb holds, then a + b is even. However, the sum of two integers is unaffected by their order. So if a + b is even, b + a will also be even. Hence, if aRb, then bRa, establishing symmetry.
Transitivity: Suppose aRb and bRc, meaning a + b and b + c are both even. In this case, we can express a + c as (a + b) + (b + c) - 2b. Since the sum of two even numbers is even, and 2b is also even, it follows that a + c is even. Therefore, if aRb and bRc, then aRc, demonstrating transitivity.
In conclusion, the relation R satisfies the properties of reflexivity, symmetry, and transitivity, proving that it is an equivalence relation on the set of integers Z.
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4)Does this shape belong in a group of shapes that have more than one pair of
perpendicular sides?
Use the drop-down menus to explain your answer.
4) Click the arrows to choose an answer from each menu.
The number of right angles in this shape is Choose....
meet at a right angle is Choose....
perpendicular sides in this shape. This shape
shapes that have more than one pair of perpendicular sides.
. Each pair of sides that
▾ of
in a group of
.There Choose...
Choose...
No, this shape does not belong in a group of shapes that have more than one pair of perpendicular sides.
Does the shape have > one pair of perpendicular sides?In order to determine if the shape belongs to a group of shapes with more than one pair of perpendicular sides, we need to examine the number of right angles in the shape.
A right angle is a 90-degree angle, and shapes with perpendicular sides have right angles at their intersections. By counting the number of right angles in the shape, we can determine if it has more than one pair of perpendicular sides.
If the shape has only one right angle, then it does not have more than one pair of perpendicular sides. But if it has two or more right angles, then it would belong to the group of shapes that have more than one pair of perpendicular sides.
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Can I please get some help I’ve been stuck on this question for a while!
Using the radius of the Ferris wheel and the angle between the two positions, the time spent on the ride when they're 28 meters above the ground is 12 minutes
How many minutes of the ride are spent higher than 28 meters above the ground?The radius of the Ferris wheel is 30 / 2 = 15 meters.
The highest point on the Ferris wheel is 15 + 4 = 19 meters above the ground.
The time spent higher than 28 meters is the time spent between the 12 o'clock and 8 o'clock positions.
The angle between these two positions is 180 degrees.
The time spent at each position is 10 minutes / 360 degrees * 180 degrees = 6 minutes.
Therefore, the total time spent higher than 28 meters is 6 minutes * 2 = 12 minutes.
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Consider a triangle ABC like the one below. Suppose that A = 30°, B = 125°, and a = 38. (The figure is not drawn to scale.) Solve the triangle.
Round your answers to the nearest tenth.
If there is more than one solution, use the button labeled "or".
Answer:
C = 25°, b = 62.3, c = 32.1
Step-by-step explanation:
The Law of Sines can be used to solve a triangle when two angles and a side opposite one of them is given.
__
third angleThe angle sum theorem can be used to find the third angle.
C = 180° -A -B = 180° -30° -125° = 25°
__
unknown sidesThe Law of Sines tells you ...
a/sin(A) = b/sin(B) = c/sin(C)
b = a(sin(B)/sin(A)) = 38·sin(125°)/sin(30°) ≈ 62.3
c = a(sin(C)/sin(A)) = 38·sin(25°)/sin(30°) ≈ 32.1
The solution is ...
C = 25°, b = 62.3, c = 32.1
The systolic blood pressure (BP) of adults in the USA is nearly normally distributed with a mean of 117 and standard deviation of 17 . Someone qualifies as having Stage 2 high blood pressure if their systolic blood pressure is 160 or higher. (a) Around what percentage of adults in the USA have stage 2 high blood pressure
Answer:
the percentage of adults have stage 2 high blood pressure is 0.0057
Step-by-step explanation:
The computation of the percentage of adults have stage 2 high blood pressure is shown below;
Given that
mean = 117
Standard deviation = 17
and, the sample is 160
Now based on the above information,
The percentage is
= (Sample - mean) ÷ (standard deviation)
= (160 - 117) ÷ (17)
= 2.529
p(z>2.53) = 0.0057
hence, the percentage of adults have stage 2 high blood pressure is 0.0057
I need help with this. In the question there are 3 more options. 1 and 2 and 4. 3 only. And then 1 only.
We will have that the alternative way to write the number are:
\(\begin{gathered} \sqrt[3]{64} \\ \\ (\sqrt[3]{8})^2 \\ \\ 4 \end{gathered}\)So, the alternative ways to write them are 1, 2 and 4.
TS is an angle bisector. If m∠RTS=x+10 and m∠UTS=2x+5, find m∠RTU.
answer choices below
30°30 degrees
15°15 degrees
80°80 degrees
5°
Answer:
m∠RTS= 15°, m∠UTS= 15°, m∠RTU= 30°
Step-by-step explanation:
Since TS bisects RTS and UTS, that means the two angles are equal to each other. So let's find x first.
x+10=2x+5, subtract x to both sides
10=x+5, subtract 5 to both sides
x=5
Since RTU is basically RTS plus UTS, let's add the two angles together
x+10+2x+5, combine like terms
3x+15
Then we can plug in 5 for x
3(5)+15
15+15
=30
So, RTU is 30 degrees
Answer:
kjndnsadnsdnasnldnkasbdkbaskbjdbLol i dont caewnsnasdHBsadHKUsadkhsdkkbhaSKHChASKUCDKJGCHakbsDKskbhaKHDHU
Step-by-step explanation:
Need help ASAP
the value of each variable. If your answer is not
teger, express it in simplest radical form.
The length of a is
The length of b is
(Simplify your answer.)
Answer:
me too (help)
Step-by-step explanation:
If triangles ABC and DEF are similar, what is y? Show your work.
The value of y is 18
What are similar triangles?Similar triangles have the same corresponding angle measures and proportional side lengths. The angles of the two triangle must be equal and it not necessary they have equal sides.
Therefore the corresponding angles of similar triangles are congruent and the ratio of corresponding sides of similar triangles are equal.
Therefore;
14/21 = 12/y
14y = 21 × 12
14y = 252
divide both sides by 14
y = 252/14
y = 18
Therefore the value of y is 18.
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Match each letter to its correct term. Efficiency Unobtainable Impossible Inefficiency Underutilization 1. A 2. B 3. C
Each letter should be matched to its correct term as follows;
1. A ⇔ Efficiency.
2. B ⇔ Impossible.
3. C ⇔ Inefficiency.
What is a production possibilities curve?In Economics and Mathematics, a production possibilities curve (PPC) can be defined as a type of graph that is typically used for illustrating the maximum and best combinations of two (2) products that can be produced by a producer (manufacturer) in an economy, if they both depend on the following two (2) factors;
Technology is fixed.Resources are fixed.Based on the production possibilities curve shown in the image attached above, we can reasonably infer and logically deduce that each of the letters represent the following terminologies;
A ⇔ Efficiency: it represent points on the production possibilities curve.B ⇔ Impossible: it represent points outside the production possibilities curve.C ⇔ Inefficiency: it represent points on the interior of a production possibilities curve.Read more on production possibilities here: brainly.com/question/26460726
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World War II began in the year 1939.
Let x represent any year. Write an inequality in terms
of x and 1939 that is true only for values of x that
represent years before the start of World War II. PLS ANSWER ILL GIVE U 5 STARS
Answer:
x < 1939
Step-by-step explanation:
If we want years before 1939, then x must be less than 1939. From this we can make the inequality: x < 1939. It shows that x must be anything less than 1939.