A solution exists for constructing a triangle given two sides and the included angle if the triangle inequality theorem is satisfied
We have to draw a line segment to represent one of the given sides of the triangle.
From one endpoint of the line segment, use a protractor to measure the given angle. Mark this angle on the line segment.
Using a compass, set the compass to the length of the other given side of the triangle.
With the compass centered at the endpoint of the line segment, draw an arc that intersects the angle on the line segment.
Draw a line connecting the endpoint of the line segment to the point where the arc intersects the angle.
This line represents the second side of the triangle.
Finally, draw a line connecting the two endpoints of the sides you have constructed. This line completes the triangle.
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(4h+5) and (h – 6). find the product
Answer:
4h²– 19h – 30
Step-by-step explanation:
(4h+5)(h-6)
=4h²–24h+5h–30
=4h²–19h–30
[tex] \huge \tt \color{pink}{A}\color{blue}{n}\color{red}{s}\color{green}{w}\color{grey}{e}\color{purple}{r }[/tex]
[tex] \large\underline{ \boxed{ \sf{✰\:how\:to\: solve\: }}}[/tex]
➣Given➣ (4h+5) and (h – 6) find the product➣ Let's start !
[tex] \qquad \sf{➛ \: (4h + 5) \times (h - 6)} \\ [/tex]
★ Opening brackets multiplying nd solving
[tex]\qquad \sf{➛( \: 4h \times h) +( 4h \times - 6) + (5 \times h) + (5 \times - 6)}\qquad \\ \sf{➛\: {4h}^{2} - 24h + 5h - 30 }[/tex]
★ arranging like terms and solving gives
[tex]\qquad \sf{➛ \: {4h}^{2} - 19h - 30\bold\green{✓}}[/tex]
[tex] \rule{70mm}{2.9pt}[/tex]
Hope it helps !
Solve for the value of x
Answer: 12
Step-by-step explanation:
find the scale factor of cube with a volume of 729m^3 with a cube with a volume of 2,744m^3
Answer:
45/7
Step-by-step explanation:
The ratio of volumes is the cube of the scale factor for similar figures.
__
sf³ = (729 m³)/(2.744 m³) = 9³/1.4³
sf = ∛(9³/1.4³) = 9/1.4 = 45/7
The scale factor between the larger and smaller cubes is 45/7.
The sum of two numbers is 12.One of the numbers is 8.78.Find the other number.
answer : 3.22
if the sum of 2 numbers is 12 and one of the numbers is 8.78, then the subtraction of the number from the sum will give you the other number.
The volume of a rectangular pyramid is 176 units³. If the length of the rectangular base measures 6 units and the width of the rectangular base measures 11 units, find the height of the pyramid.
Answer:
2.66unit
Step-by-step explanation:
volume=176
l×b
6×11=66
Therefore,176÷66=2.66unit
Write an algebraic expression for the phrase the quotient of 17 and k
Answer:
[tex] \frac{17}{k} [/tex]
Given that the universe set U = {baseball, basketball, football, tennis ball, soccer ball, volleyball} and that the set A is the set of sports balls that are spherical, what is the complement of Set A?
The set A is the set of sports balls that are spherical, the complement of set A is {baseball}.
Given that the universe set U = {baseball, basketball, football, tennis ball, soccer ball, volleyball}.
What is set?Sets in mathematics, are simply a collection of distinct objects forming a group. A set can have any group of items, be it a collection of numbers, days of a week, types of vehicles, and so on. Every item in the set is called an element of the set.
The set A is the set of sports balls that are spherical
Set A={basketball, football, tennis ball, soccer ball, volleyball}
So, the complement of Set A is {baseball}
Because, a baseball infield is in the shape of a square, with each base at a vertex.
Hence, the set A is the set of sports balls that are spherical, the complement of set A is {baseball}.
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Can anyone help solve this
Jim buys a wardrobe for £30.
He sells it for £44.
Work out Jim’s percentage profit.
Give your answer to 1 decimal place.
30/40
Step-by-step explanation:
like my guy it's thaymt ez
The profit that Jim got in percentage will be 46.67%.
What is a profit?A monetary profit, particularly the distinction between the amount gained and the actual cost of purchasing, running, or creating anything.
The profit is given as,
Profit = Selling price - Cost price
Jim buys a wardrobe for £30. He sells it for £44. The profit is calculated as,
Profit = £44 - £30
Profit = £14
The profit in percentage is calculated as,
P = (£14 / £30) x 100
P = 0.4667 x 100
P = 46.67%
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A paint mixture uses a specific blue to yellow ratio. for every 7 gallons of paint, 2 are blue. enter the ratio of yellow paint to total gallons of paint as a fraction?
Answer:
7:9
Step-by-step explanation:
For very 9 gallons of paint, it needs 7 gallons of yellow.
does someone mind helping me with this problem? Thank you!
[tex]\qquad\qquad\huge\underline{{\sf Answer}}[/tex]
Let's calculate the value of c using Pythagoras theorem ~
[tex]\qquad \sf \dashrightarrow \: c {}^{2} = a {}^{2} + {b}^{2} [/tex]
[tex]\qquad \sf \dashrightarrow \: 40 {}^{2} = {24}^{2} + {b}^{2} [/tex]
[tex]\qquad \sf \dashrightarrow \: b² = \sqrt{40² - 24²} [/tex]
[tex]\qquad \sf \dashrightarrow \: b= \sqrt{1600-576} [/tex]
[tex] {\qquad \sf \dashrightarrow \: b= \sqrt{1024}} [/tex]
[tex]\qquad \sf \dashrightarrow \: b = 32 \: units[/tex]
The length of "b"
Solution:[tex] {c}^{2} = {a}^{2} - {b}^{2} [/tex]
[tex] {b}^{2} = {40}^{2} - {24}^{2} [/tex]
[tex]b = 1024[/tex]
[tex]b = \sqrt{1024} [/tex]
[tex]b = 32[/tex]
Hence, the length of "b" is 32.
Enter an equation and an answer to the following question:
What is the original list price if the discount is $25 and the discount rate is 12%?
Answer:
$208.30
Step-by-step explanation:
Discount:Let the original price be $ x
Discount % = 12%
Discount = $ 25
12% of x = 25
[tex]\sf \dfrac{12}{100}*x = 25[/tex]
[tex]\sf x = 25 * \dfrac{100}{12}=\dfrac{25*25}{3}\\[/tex]
= $ 208.30
Fior 50 points solve this problem
Which graph represents the solution to the system of inequalities below?
5x-4y>4
x+y<2
B. is the correct graph.
See the attachment.
Answer:
Step-by-step explanation:
Use desmos to graph
B is The correct answer for this question
For the best set summarized in the boxplot, identify the interquartile range (IQR)
75
57
22
32
Work Shown:
IQR = Q3 - Q1
IQR = 70 - 48
IQR = 22
Note: Q1 and Q3 are the left and right edges of the box. The IQR is the width of the box.
complete the concept map by naming the sampling that you have learned in this module then briefly discuss each
In systematic sampling, individuals are selected at regular intervals from the sampling frame.
How to explain the sampling?Stratified sampling- In this method, the population is first divided into subgroups (or strata) who all share a similar characteristic
Clustered sampling.- a clustered sample, subgroups of the population are used as the sampling unit, rather than individuals. The population is divided into subgroups, known as clusters, which are randomly selected to be included in the study
Simple random sampling. -In this case each individual is chosen entirely by chance and each member of the population has an equal chance, or probability, of being selected.
Quota sampling--This method of sampling is often used by market researchers. Interviewers are given a quota of subjects of a specified type to attempt to recruit.
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24r + 48 write the expression in two other ways
Answer:
2(12r + 24)
12(r + 2)
Multiply. 3√⋅22√⋅58√⋅18−−√ Enter the expression in the box in simplified radical form.
The value of multiplying the factors of 3√2 * 2√5 * 8√18 is 288√5 in radical form
How to multiply the expression?The expression is given as:
3√2 * 2√5 * 8√18
Multiply the integers
3√2 * 2√5 * 8√18 = 3 * 2 * 8 *√2 *√5 * √18
This gives
3√2 * 2√5 * 8√18 = 48 *√2 *√5 * √18
Multiply the radicands
3√2 * 2√5 * 8√18 = 48 *√5 * √36
Take the square root of 36
3√2 * 2√5 * 8√18 = 48 *√5 * 6
Multiply 48 by 6
3√2 * 2√5 * 8√18 = 288√5
Hence, the value of 3√2 * 2√5 * 8√18 is 288√5
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Solve the system of equations below.
4x – 6y = 30
3x + 7y = 80
x =
, y =
Answer:
The answer is stated above:
x=15
y=5
What is the value of x?
( Not 16 )
Answer:
37
Step-by-step explanation:
You have to divide 74 by 2x to get your equation.
Answer:
37
Step-by-step explanation:
1-2x=74
2-Divide by two on both sides
3-2x÷2= x
4-74÷2=37
The area of the parallelogram below is square meters.
Answer: 48
Step-by-step explanation:
A = bh = (8)(6) = 48
Do you still have to do summer school if you fail one class? (serious question please answer, and yes i know its in math i just need an answer!)
Answer:
In some schools yes but it depends is it a required class? if so then you'd have to retake it.
Answer:
well you might not have to do summer school but you might have to take a course during summer for that class you failed or you may have to redo that class in order to get the points needed to pass but also it depends because even though you might not pass that one class you can still pass the grade but you will be in the same class or a lower standard for that subject now i am not sure it honestly all depends on your teacher and school if they want you to go the next grade but they can also talk to teachers in the next grade to help you so that you can still pass but you have to do lower standard work for the class in that next grade
Step-by-step explanation:
hope it helps let me know if you have anymore questions or if you need anymore help understanding or if you need help with work so that you can pass i would be happy to help you
Rena used the steps below to evaluate the expression (StartFraction (x Superscript negative 3 Baseline) (y Superscript negative 2 Baseline) Over 2 (x Superscript 4 Baseline) (y superscript negative 4 Baseline) EndFraction) Superscript negative 3, when x = negative 1 and y = 2.
Step 1:
Substitute x = negative 1 and y = 2 into the expression.
(StartFraction (negative 1) Superscript negative 3 Baseline (2) Superscript negative 2 Baseline Over 2 (negative 1) Superscript 4 Baseline (2) superscript negative 4 Baseline) EndFraction) Superscript negative 3
Step 2:
Simplify the parentheses.
(StartFraction (2) Superscript 4 Baseline Over 2 (negative 1) Superscript 4 Baseline (negative 1) cubed (2) squared EndFraction) Superscript negative 3 Baseline = (StartFraction (2) squared Over 2 (negative 1) Superscript 7 Baseline EndFraction) Superscript negative 3
Step 3:
Evaluate the power to a power.
StartFraction (2) Superscript negative 6 Baseline Over 2 Superscript negative 3 Baseline (negative 1) Superscript negative 21 baseline EndFraction
Step 4:
Use reciprocals and find the value.
StartFraction 1 Over 2 cubed (2) Superscript 6 Baseline (negative 1) Superscript 21 Baseline EndFraction = StartFraction 1 Over 8 times 64 times (negative 1) EndFraction = Negative StartFraction 1 Over 512 EndFraction
In which step did Rena make the first error?
Step 1
Step 2
Step 3
Step 4
Answer:
step 4
Step-by-step explanation:
Find the general indefinite integral. (use4 x5 dxc for the constant of integration. )
The indefinite integral means the integration without limit is known as indefinite integral. The indefinite integral of the function (4 + x⁵) is given below.
[tex]4x + \dfrac{x^6}{6} + c[/tex]
What is integration?It is the reverse of differentiation.
Then the general indefinite integral will be
[tex]\rm \rightarrow \int (4+ x^5) dx \\\\\rightarrow 4x + \dfrac{x^6}{6} + c[/tex]
Where c is the constant of integration.
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PLSSS HELP IF YOU TURLY KNOW THISS
Answer:
B
Step-by-step explanation:
There is two wholes and one half.
Biotic and abiotic definitions
Biotic are living things while on the other hand abiotic are non living things.
Biotic and abioticBiotic can be defined as living things or living organism while abiotic on the other hand can be defined as non living things or non living organism.
Examples of biotic are:
BacteriaFungiVirusPlants and animalsExamples of abiotic are:
RadiationAtmosphereTemperatureSoilWater etcTherefore Biotic are living things while on the other hand abiotic are non living things.
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O
3
o A. -
B. 2
OC
3
mly
O D. -2
Answer:
A. -3/2
Step-by-step explanation:
» Concepts
The slope of a line describes the steepness, or the change in y over the change in x of a line. The formula to find the slope, given two points, is [tex]\frac{y_2-y_1}{x_2-x_1}[/tex], where we put in the x- and y-coordinates of the two points.
» Application
In this case, we're given two points: (-2, 5) and (4, -4). We have to find the slope of the line containing them, so we must use our aforementioned formula.
» Solution
[tex]\frac{(-4)-(5)}{(4)-(-2)}[/tex] [tex]\frac{-9}{4+2}[/tex] [tex]-\frac{9}{6}[/tex] [tex]-3/2[/tex]Therefore, the answer is A. -3/2.
The radius of a circle is 1 meter. What is the circle's circumference?
Use 3.14 for .
Answer:
6.28
Step-by-step explanation:
D = R x 2
D = 2
2 x 3.14 =
6.28
I need help ASAP I can’t understand this question help please !
Answer:
424
Step-by-step explanation:
SF: 2{(8 x 4) + (4 x 15) + (8 x 15)}
therefore: 2 [32 + 60 + 120]
therefore: 64 + 120 + 240
therefore: 360 + 64
therefore: 424
Answer:
424
Step-by-step explanation:
To find the surface area, you need to find the area of all the faces of the shape. Because this is a rectangle, you only need to find the 3 different faces and then multiply them by 2. For the largest face, the dimensions are 8*15, which is 120. Multiply that by 2 and you get 240. For the long, slim face, the dimensions are 4*15, which is 60. Multiply that by 2 and you get 120. Finally, the smallest face's dimensions is 8*4, which is 32. Double that and you get 64. Now all you need to do is add all the products up. 240+120+64 is 424, which is your answer.
Hope this helped!
What is NOT a characteristic of a polyhedron?
A. faces
B. vertices
C. edges
D. lines
need help with this
The total numbers of A, B, C, D, and F grades are recorded in the table. What was the probability that a student earned a B? (Write as percent rounded to the nearest tenth)
Answer:
18.7%
Step-by-step explanation:
P(B) = 114/ (61+114+220+175+39) = 0.1872 = 18.7%