Answer:
1. a square bulletin board has an area of 100ft^2 what is the side length of the bulletin board?
Answer: 10 ft
• Area = side × side
\(100 = {s}^{2} \\ s = \sqrt{100} \\ side = 10 \: ft\)
2.which is the correct classification of the vaule 2pi?
D. real,irrational
→ It is irrational because it has no denominator, it is real because it has no imaginary part, and it can be plotted on a number line.
3. simplify each expression
\( \hookrightarrow \: - 9x + 12 - 10 + x \\ = ( - 9x + x) + 12 - 10 \\ = { \boxed{ - 8x + 2}} \\ \\ \\ \hookrightarrow \: \frac{3}{4} x + 17 - \frac{1}{4} x - 19 \\ \\ = \frac{3}{4} x - \frac{1}{4} x + 17 - 19 \\ \\ { \boxed{ = \frac{1}{2} x - 2}} \\ \\ \\ \hookrightarrow \: 13 + 12x - 4x - 14 \\ = 13 + 8x - 14 \\ { \boxed{ = 8x - 1}} \\ \\ \\ \hookrightarrow \: - \frac{3}{2} x - 68 + 2x + 8 \\ \\ = - \frac{3}{2} x + 2x - 68 + 8 \\ \\ { \boxed{ = \frac{1}{2}x - 60 }}\)
B с ma A b Note: Triangle may not be drawn to scale. Suppose a 2 and c= 9. Find: 6 AA degrees BE degrees Give all answers to at least one decimal place. Give angles in degrees calculator
To solve for angle A and angle B in the given triangle, we can use the Law of Sines. The Law of Sines states that the ratio of the length of a side to the sine of its opposite angle is constant for all sides and angles in a triangle.
In this case, we have side a with length 2 and side c with length 9. Let's denote angle A as angle opposite side a and angle B as angle opposite side b (which is unknown).
Using the Law of Sines, we have:
sin(A) / a = sin(B) / b
Plugging in the known values, we get:
sin(A) / 2 = sin(B) / 9
To find angle A, we can use the arcsine function:
A = arcsin((sin(B) / 9) * 2)
To find angle B, we can rearrange the equation:
sin(B) = (sin(A) / 2) * 9
B = arcsin((sin(A) / 2) * 9)
Now we can calculate the angles using a calculator:
A ≈ 19.5 degrees (rounded to one decimal place)
B ≈ 84.1 degrees (rounded to one decimal place)
Therefore, angle A is approximately 19.5 degrees and angle B is approximately 84.1 degrees.
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The graph shows the absolute value parent function.
which statement is true?
(image attached)
Answer:
Letter D
Step-by-step explanation:
not always zero
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I need help with these
The 15 and 9 units side lengths of the parallelogram ABCD, and the 36° measure of the acute interior angle, A indicates the values of the ratios are;
1. AB:BC = 5:3
2. AB:CD = 1:1
3. m∠A : m∠C= 1 : 4
4. m∠B:m∠C = 4:1
5. AD: Perimeter ABCD = 3:16
What is a ratio?A ratio is a representation of the number of times one quantity is contained in another quantity.
The shape of the quadrilateral ABCD in the question = A parallelogram
Length of AB = 15
Length of BC = 9
Measure of angle m∠A = 36°
Therefore;
1. AB:BC = 15:9 = 5:3
2. AB ≅ CD (Opposite sides of a parallelogram are congruent)
AB = CD (Definition of congruency)
AB = 15, therefore, CD = 15 transitive property
AB:CD = 15:15 = 1:1
3. ∠A ≅ ∠C (Opposite interior angles of a parallelogram are congruent)
Therefore; m∠A = m∠C = 36°
∠A and ∠D are supplementary angles (Same side interior angles formed between parallel lines)
Therefore; ∠A + ∠D = 180°
36° + ∠D = 180°
∠D = 180° - 36° = 144°
∠D = 144°
m∠A : m∠C = 36°:144° =1:4
m∠A : m∠C = 1:4
4. ∠B = ∠D = 144° (properties of a parallelogram)
m∠B : m∠C = 144° : 36° = 4:1
5. AD ≅ BC (opposite sides of a parallelogram)
AD = BC = 9 (definition of congruency)
The perimeter of the parallelogram ABCD = AB + BC + CD + DA
Therefore;
Perimeter of parallelogram ABCD = 15 + 9 + 15 + 9 = 48
AD:Perimeter of the ABCD = 9 : 48 = 3 : 16
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For a rectangular olid with length 15 inche, height 16 inche, and width 8 inche, find the a. Volum and b. Surface area
The volume and surface area of a rectangular solid with dimensions of 15 inches long, 16 inches high, and 8 inches wide is \(1920 inches^2\) and \(976 inches^2\), respectively.
The volume of an object is the area occupied inside its three-dimensional boundaries. On occasion, it is referred to as the object's capability. The surface area of a three-dimensional shape is the amount of space that surrounds its exterior. The region is the space taken up by a flat, two-dimensional surface. It has a square unit of measurement. The surface area of a three-dimensional object is the space taken up by its outer surface.
Given
Size: 15 inches long.
Size: 16 inches
Eight inches wide
The volume formula is l*h*w.
Size: 15*16*8
Volume =\(1920 inches^2\)
b) Surface area is equal to 2(wl*hl*hw).
Surface area equals 2 (16*15+8*15+8*16).
Surface area equals 2 (240+120+128).
Surface = 2 * 488
Surface = \(976 inches^2\)
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Solve to find the value of x ? 4x -10 = 50
Answer:
x = 15
Step-by-step explanation:
Isolate the variable, x. Note the equal sign, what you do to one side, you do to the other.
Do the opposite of PEMDAS.
PEMDAS is the order of operations, and stands for:
Parenthesis
Exponents (& Roots)
Multiplications
Divisions
Additions
Subtractions
~
First, add 10 to both sides of the equation:
\(4x - 10 = 50\\4x - 10 (+10) = 50 (+10)\\4x = 50 + 10\\4x = 60\)
Next, divide 4 from both sides of the equation:
\(4x = 60\\\frac{4x}{4} = \frac{60}{4} \\x = \frac{60}{4} = 15\\x = 15\)
~
x = 15 is your answer.
~
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Answer:
\(\tt x=15\)Step-by-step explanation:
\(\tt 4x -10 = 50\)
Add 10 to both sides:-
\(\tt 4x-10+ 10 = 50+ 10\)\(\tt 4x=60\)Divide both sides by 4:-
\(\tt \cfrac{4x}{4} =\cfrac{60}{4}\)\(\tt x=15\)___________________
Hope this helps!
Rose is 60 inches tall. How many feet tall is Rose?
Enter the correct answer in the box.
Answer: 5 feet
Step-by-step explanation:
Answer: 5 feet
Step-by-step explanation:
Consider the generator polynomial X16+1. The maximum length of
the remainder has ___ bits.
The maximum length of the remainder has 15 bits. The generator polynomial of a cyclic code determines the number of check bits, the minimum Hamming distance, and the maximum length of the remainder.
The degree of the generator polynomial in binary BCH codes corresponds to the number of check bits in the code. Furthermore, the length of the code is determined by the generator polynomial and is given by (2^m)-1 where m is the degree of the generator polynomial.Let the generator polynomial be X16+1 and we are to determine the maximum length of the remainder. For this polynomial, the degree is 16 and the length of the code is (2^16)-1 = 65535. We know that the maximum length of the remainder is equal to the degree of the generator polynomial minus one, i.e. 15.So, the maximum length of the remainder has 15 bits.
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can someone answer this question really quick
Simplify the expression by combining like terms.
43a−12b+13a+52b
Enter your answer as an expression, like this: 42x+53
Answer:
56a+40b
Step-by-step explanation:
43a plus 13a is 56a, -12b + 52b is 40b, together it's 56a+40b
Please help! The question is in the picture.
Answer:
-4.0
Step-by-step explanation:
I took the quiz
Surface Area:Question 6
What is the total surface area of the figure shown?
Select one:
96 square feet
60 square feet
0 72 square feet
36 square feet
\(\qquad\huge\underline{{\sf Answer}} ♨\)
Total surface area :
\(\qquad \sf \dashrightarrow \:2(lw + wh + lh)\)
[ l = Length, w = width, h = height ]
\(\qquad \sf \dashrightarrow \:2 \{(6 \times 2) + (2 \times 3) + (6 \times 3) \}\)
\(\qquad \sf \dashrightarrow \:2 \{12 + 6+ 18\}\)
\(\qquad \sf \dashrightarrow \:2 (36)\)
\(\qquad \sf \dashrightarrow \:72 \: ft {}^{2} \)
I don’t completely understand the question or how to work it out
Answer:
Step-by-step explanation:
\(\frac{3x+9}{12x} \\we \ can \ write \ 3x+9 \ as 3(x+3)\\\frac{3x+9}{12x}=\frac{3(x+3)}{3*4x}=\frac{x+3}{4x}\)
Answer:
\(\frac{x+3}{4x}\)
Step-by-step explanation:
\(\frac{3(x)+9}{12x}\)
\(\frac{3(x+3)}{12x}\)
What number should be multiplied by 5.8 so that the answer is 47.096?
Given
What number should be multiplied by 5.8 so that the answer is 47.096
Answer
Let x be multiplied to 5.8
\(\begin{gathered} 5.8x=47.096 \\ x=\frac{47.096}{5.8} \\ x=8.12 \end{gathered}\)A granite monument has a volume of 25,365.4 cm3. The density of granite is 2.7 g/cm3. Use this information to calculate the mass of the monument to the nearest tenth.
The mass of the granite monument is
g
Answer:
The answer is 68,486.58 gStep-by-step explanation:
The mass of a substance when given the density and volume can be found by using the formula
mass = Density × volumeFrom the question
volume of granite monument =
25,365.4 cm³
density = 2.7 g/cm³
The mass of the granite monument is
mass = 25,365.4 × 2.7
We have the final answer as
68,486.58 gHope this helps you
Answer:
Step-by-step explanation:
68,486.6 g.
Ginas pet pot bellied pigs is on a diet. He can have no more than 18 ounces of pig food per day. How many scoops of pig food can Gina feed the pig without going over 18 ounces?
PLS I NEED HELP ASAP
Answer:
Step-by-step explanation:
Need to know how many ounces in a scoop of pig food. Is there a ratio or formula associated? Lmk.
What is the length of the curve y = 1- cos x from x = 0 to x = 4T ? A) 11.314 B 15.281 с 18.850 19.015
To find the length of the curve y = 1 - cos x from x = 0 to x = 4π, we can use the arc length formula:
Arc length = ∫[sqrt(1 + (dy/dx)^2)] dx from a to b
First, find the derivative of y with respect to x:
dy/dx = d(1 - cos x)/dx = sin x
Now, substitute into the arc length formula:
Arc length = ∫[sqrt(1 + sin^2(x))] dx from 0 to 4π
This integral doesn't have an elementary function as its antiderivative, but we can use the elliptic integral of the second kind to evaluate it.
Arc length = 4 * E(4π, k) where E is the elliptic integral of the second kind and k = 1 (since k = sin^2(x) in our case).
Using a calculator, we find that E(4π, 1) ≈ 3.8202. So, the arc length is approximate:
Arc length ≈ 4 * 3.8202 ≈ 15.2808
Hence, the correct answer is B) 15.281.
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Find the Volume of the Cube
Question 2 options:
A. 125 in3
B. 5 in3
C, 25 in3
D. 15 in3
Can someone explain what it means by creating a dot plot showing a uniform distribution?
A uniform distribution has the data values evenly distributed throughout the range of the data. A bimodal distribution has two very common data values seen in a dot plot or histogram as distinct peaks.
A Dot Plot, also called a dot chart or strip plot, is a type of simple histogram-like chart used in statistics for relatively small data sets where values fall into a number of discrete bins (categories). A dot plot is similar to a bar graph because the height of each “bar” of dots is equal to the number of items in a particular category.
A dot plot is a graphical display of data using dots: Dot Plot is a graph for displaying the distribution of quantitative variable where each dot represents a value. For whole numbers, if a value occurs more than once, the dots are placed one above the other so that the height of the column of dots represents the frequency for that value.
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A group of n friends is going to drive together to a big city to have lunch, visit a museum, and have dinner. They expect to spend $15 for gasoline, $20 for parking, $8 each for lunch, $11 each for tickets to the museum, and $12 each for dinner. The expression below represents the total number of dollars they expect to spend. 15 +20 + 8n +11n +12n The expression can be simplified as 35 +31n. Which statement explains the meaning of this simplified expression?
A. They expect to spend $66 each, not including gasoline and parking.
B. They expect to spend $31 each, plus an extra $35 for gasoline and parking.
C. They expect to spend $66 each, including gasoline and parking.
D. They expect to spend $35 each, plus an extra $31 for gasoline and parking.
Answer:
Option (B)
Step-by-step explanation:
Group of 'n' friends is going to drive together.
Expected expenditure on gasoline and parking = $(15 + 20) = $35
Expected expenditure for lunch, tickets for museum and dinner
= (8 + 11 + 12) × n
= 31n
Expression representing total expenditure = 35 + 31n
This expression shows the expected expenditure on each friend = $31
Plus an extra expense on gasoline and parking = $35
Therefore, Option (B) is the correct option.
I need help with this pls
Answer:
0.78
Step-by-step explanation:
The constant of proportionality is the "k" in y = kx.
y is the dependent variable (whatever you do to x changes y)
x is the independent variable (it doesn't change in relation to y)
Your pounds of apples is your x
Your cost is your y
From the first row: 0.78 = (k)(1), which simplifies to k = 0.78
If you want to test it out, pick another line:
y = kx
3.12 = (k)(4)
divide both sides by 4
k = 0.78
It's great when tables like this have something in the x column that is a 1...because then the y is also the k
Write each fraction as a mixed number.
3 4/9
43/9
32/5
The value of the fractions in the mixed fraction form is 3(⁷/₉), 4(⁷/₉), and 6(²/₅) respectively.
What is a mixed fraction?A mixed fraction is a fraction that is created by fusing a fraction with a whole number. The fraction is defined as the division of the whole part into an equal number of parts.
The given fractions 34/9, 43/9, and 32/5 can be written in the form of the mixed fraction as below:-
To write the fractions in the form of the mixed fraction first divide the fraction by the complete number and put the remainder on the numerator.
34/9 = 3(⁷/₉)
43/9 = 4(⁷/₉)
32/5 = 6(²/₅)
Therefore, the value of the fractions in the mixed fraction form is 3(⁷/₉), 4(⁷/₉), and 6(²/₅) respectively.
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Plot the points in a coordinate plane and sketch ∠ XYZ. Then classify it as right, acute, or obtuse.
X(5,-3), Y(4,-1), Z(6,-2)
The points X(5,-3), Y(4,-1) and Z(6,-2) can be plotted as given below. From the obtained graph ∠XYZ is the obtuse angle.
The given coordinates are X(5,-3), Y(4,-1) and Z(6,-2).
We need to classify ∠XYZ whether it is right, acute, or obtuse.
How to plot the points in a cartesian plane?A cartesian plane or coordinate plane can be defined as a plane formed by the intersection of two coordinate axes that are perpendicular to each other. The horizontal axis is called the x-axis and the vertical one is the y-axis. These axes intersect with each other at the origin whose location is given as (0, 0). Any point on the cartesian plane is represented in the form of (x, y). Here, x is the distance of the point from the y-axis and y is the distance from the x-axis.
Now, X(5,-3), Y(4,-1) and Z(6,-2) can be plotted as given below:
The given points X(5,-3), Y(4,-1) and Z(6,-2) have positive x-coordinate and negative y-coordinate.
In the cartesian plane, the fourth quadrant positive x-coordinate and negative y-coordinate.
So, all points X(5,-3), Y(4,-1) and Z(6,-2) lie in the fourth quadrant.
From the graph, we can see that the two lines make an obtuse angle, which is more than 180° and less than 360°.
From the obtained graph ∠XYZ is the obtuse angle.
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Plz help me plzzzz I need it plzzz
Answer:
Step-by-step explanation:
vertex: 0,-6
Axis of Symmetry(AOS): x=0
Domain: inf. < x < inf.
Range: -6 \(\leq\) y < inf.
Transformation: y= x^2 - 6
Type the correct answer in the box. Use numerals instead of words. If necessary, use / for the fraction bar.Write the temperature shown on the thermometer.
Answer:
110°F
Explanation:
The temperature on the thermometer is taken at the point where the red ends as highlighted in the diagram below:
At this point, the value is 110.
Therefore, the temperature shown on the thermometer is 110°F.
The temperature outside changed from 98°F to 42°F over a period of eight days. If the temperature changed by the same amount each day, what was the daily temperature change?
Answer:
ummmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmm
Step-by-step explanation:
Answer:
7° each day
Step-by-step explanation:
98-42=56. 56 is the amount that dropped within those 8 days. Divide 56 by 8 and you get 7
NEED HELP!!! 30 POINTS
FIND THE RATIONAL EXPONENT FORM!!
Answer:
Step-by-step explanation:
The root which is 2 is the fractional portion of your exponent
\(\sqrt{x^{7} y^{12} }\)
=\((x^{7} y^{12} )^{\frac{1}{2} }\) >You can distribute 1/2 to each term by multiplying
\(=x^{\frac{7}{2} } y^{6\)
please help
i need it
Answer:
The answer of A= 3×5×5×5=375. In Exponential form as 3¹-5³.
The answer of B. The highest common factor of 375 and 150 is 75.
Step-by-step explanation:
hope it helps you.
Answer:
a)3 x 5 x 5 x 5 = 375
b) 75
Step-by-step explanation:
b)The gcf of 150 and 375 is 75.
Steps to find GCF
Find the prime factorization of 150
150 = 2 × 3 × 5 × 5
Find the prime factorization of 375
375 = 3 × 5 × 5 × 5
To find the gcf, multiply all the prime factors common to both numbers:
Therefore, GCF = 3 × 5 × 5
GCF = 75
multiply (x+3)(x+2) then simplify if possible
Answer:
x²+5x+6
Step-by-step explanation:
(x+3)(x+2)
(x)(x) + (x)(2) + (3)(x) + (3)(2)
x² + 2x + 3x + 6
x²+5x+6
WILL GIVE BRAINLIEST
Solve for the value of b. (3b-6° \(6-2)°
What is the value of 18 divide by -9
Answer:
-2
Step-by-step explanation:
Hey there!
Use this guide so you can tackle problems like this in the future to yourself! ⬇️
• Negative (–) & Negative (–) = Positive (+)
• Positive (+) & Negative (–) = Negative (–)
• Negative (–) & Positive (+) = Negative (–)
• Positive (+) & Positive (+) = Positive (+)
Based on the information/guide we now know our answer has to be a NEGATIVE number because we have a positive and negative in the equation!
18 ÷ -9 = -2
Thus your answer answer is most likely: -2 ☑️
Good luck on your assignment and enjoy your day!
~LoveYourselfFirst:)
(1 point) a park bench can seat 4 people. how many seating arrangements are possible if 4 people out of a group of 12 want to sit on the park bench?
out of a group of 12, the possible arrangements are possible are 495.
What do you mean by arrangements in permutation and combinations?
Finding the total number of different configurations for a collection of elements is a straightforward definition of the term permutation. According to permutation, the arrangement is classified as a non-distinct item, which essentially classifies things that are impossible to identify from one another.
according to the question, out of 12 people, 4 are to be chosen
so the possible arrangements are 12C4 =495
Hence, the possible arrangements are 495.
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