Answer:
Without knowing the exact length of Ted's pencil, we cannot give an exact decimal representation of its length. However, we do know that Ted's pencil is longer than Jan's pencil, which is 8.5 cm long.
If we assume that Ted's pencil is one centimeter longer than Jan's pencil, then its length would be 9.5 cm. In decimal form, this would be written as 9.5.
If we assume that Ted's pencil is two centimeters longer than Jan's pencil, then its length would be 10.5 cm. In decimal form, this would be written as 10.5.
So, the decimal that could represent the length of Ted's pencil depends on how much longer it is than Jan's pencil.
The volume of a tree stump can be modeled by considering it as a right cylinder. Makayla measures its height as 1. 3 ft and its radius as 6 in. Find the volume of the stump in cubic inches. Round your answer to the nearest tenth if necessary.
The volume of the stump in cubic inches is approximately 2,214.53 cubic inches
First, we need to convert the height of the stump from feet to inches, since the radius is given in inches:
1.3 ft = 15.6 in
Next, we can use the formula for the volume of a cylinder:
V = πr^2h
where V is the volume, r is the radius, and h is the height.
We are given the radius as 6 in and the height as 15.6 in, so we can plug in these values and simplify:
V = π(6 in)^2(15.6 in)
V = π(36 in^2)(15.6 in)
V = 2,214.53 cubic inches (rounded to two decimal places)
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A recipe uses a ratio of 2 cups of oats to 3 cups of
flour. How many cups of flour are needed if Shawn
uses 6 cups of oats?
Answer:
9 cups of flour
Step-by-step explanation:
help asap!!
giving brainliest
Step-by-step explanation:
4
\(4\pi \times {r}^{3} \\ 4 \times 3.14 \times 1 \times 1 \times 1 \\ 12.56\)
*WILL GIVE BRAINLIEST FOR BEST ANSWER*
A cylinder has a height of 14 feet and a radius of 6 feet. What is its volume? Use ≈ 3.14 and round your answer to the nearest hundredth.
cubic feet
geometry midterm coming up and i need help on similar figures.
A triangle is a polygon with three edges and three vertices. It is one of the basic shapes in geometry. A triangle with vertices A, B, and C is denoted triangle ABC.
By Pythagoras' theorem,
(20)²+(48)²=x²
400+2304=x²
2704=x²
x=52
As we know, area of a triangle = 1/2 × b×h
480= 1/2× 52 ×h
h=2×480/52
h= 18.46 = BD
What is geometry?
Geometry with arithmetic is one of the oldest branches of mathematics. It deals with spatial properties such as distance, shape, size, and relative position of shapes. Mathematicians working in the field of geometry are called geometers.
Until the 19th century, geometry was mostly devoted to Euclidean geometry, which included the concepts of point, line, plane, distance, angle, area, and curve as basic concepts.
In the 19th century, several discoveries dramatically expanded the scope of geometry. One of the oldest discoveries of this kind is Carl Friedrich Gauss's Theorem Egregium ("Remarkable Theorem"), which loosely asserts that the Gaussian curvature of a surface is independent of any particular embedding in Euclidean space. I'm here. This meant that surfaces could be studied intrinsically, i.e., as spaces themselves, and extended to manifold theory and Riemannian geometry.
Therefore, A triangle is a polygon with three edges and three vertices. It is one of the basic shapes in geometry. A triangle with vertices A, B, and C is denoted triangle ABC.
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Paulas cat weighs 8 5/8 pounds. Calebs cat weighs 11 1/8 pounds. What is the total weight of both cats?
Answer:
19 6/8 or 19 3/4
I’m not sure if you want the smallest possible fraction or not. If you don’t know just put the second one. K.
Select the correct answer.
Which expression is equivalent to the given expression?
2x² - 14x +24
A. (2x - 12)(x - 2)
B. 2(x - 3)(x - 4)
C. 2(x - 8)(x + 3)
D. 2(x - 5)(x - 2)
Answer: B. 2(x - 3)(x - 4)
Step-by-step explanation:
(100 points if answered) (attatched screenshot) Algebra II need question 1 and 2
Don’t get the steps don’t tell me the answer tho. Just tell me the steps ( I don’t want to cheat)
D. 4032 cups
Step-by-step explanation:
336 x 12 = 4032
Hope this helps!
Answer:
4,032
Step-by-step explanation:
Just multiply 336 times 12. This is becuase they are not asking for adele's amount.
Help solve these 2 step by step.
The area of the shaded region in each of the shapes are:
10) 16.324 ft²
11) 114.546 cm²
What is the area of the shaded region?10) The formula for the area of a circle is:
A = πr²
where:
r is radius
Thus;
A_c = π * 4²
A_c = 50.265 ft²
Area of a hexagon inscribed in a circle is:
A_h = ((3√3)/2) * r²
A_h = ((3√3)/2) * 4²
A_h = 33.941 ft²
Area of shaded region = 50.265 ft² - 33.941 ft²
= 16.324 ft²
11) Area of a hexagon with side length has the formula:
A_h = 2(1 + √2)a²
where a is the length of one side. Thus:
A_h = 2(1 + √2) * 9²
A_h = 391.103 cm²
The interior angle of a regular octagon is 135°.
Using sine rule, we can find the length of the square:
9/sin 22.5 = x/sin 135
x = 16.63 cm
Area of square = 16.63 * 16.63
= 276.557 cm²
Area of shaded region = 391.103 - 276.557
Area of shaded region = 114.546 cm²
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please refer to the image
A shipping company rounds up to the nearest ton to figure out shipping charges. If you want to ship 14, 700 statuettes, each weighing 15 ounces, how many tons will you be billed for?
Answer:
6.890625 Tons
Step-by-step explanation:
To get total in ounces: [(14,700 x 15) = 220,500 OZ].
To convert ounces to tons: [(220,500/32,000) = 6.890625 Tons]
Explain the Pythagorean identity in terms of the unit circle.
The three Pythagorean trigonometric identities, which I’m sure one can find in any Algebra-Trigonometry textbook, are as follows:
sin² θ + cos² θ = 1
tan² θ + 1 = sec² θ
1 + cot² θ = csc² θ
where angle θ is any angle in standard position in the xy-plane.
Consistent with the definition of an identity, the above identities are true for all values of the variable, in this case angle θ, for which the functions involved are defined.
The Pythagorean Identities are so named because they are ultimately derived from a utilization of the Pythagorean Theorem, i.e., c² = a² + b², where c is the length of the hypotenuse of a right triangle and a and b are the lengths of the other two sides.
This derivation can be easily seen when considering the special case of the unit circle (r = 1). For any angle θ in standard position in the xy-plane and whose terminal side intersects the unit circle at the point (x, y), that is a distance r = 1 from the origin, we can construct a right triangle with hypotenuse c = r, with height a = y and with base b = x so that:
c² = a² + b² becomes:
r² = y² + x² = 1²
y² + x² = 1
We also know from our study of the unit circle that x = r(cos θ) = (1)(cos θ) = cos θ and y = r(sin θ) = (1)(sin θ) = sin θ; therefore, substituting, we get:
(sin θ)² + (cos θ)² = 1
1.) sin² θ + cos² θ = 1 which is the first Pythagorean Identity.
Now, if we divide through equation 1.) by cos² θ, we get the second Pythagorean Identity as follows:
(sin² θ + cos² θ)/cos² θ = 1/cos² θ
(sin² θ/cos² θ) + (cos² θ/cos² θ) = 1/cos² θ
(sin θ/cos θ)² + 1 = (1/cos θ)²
(tan θ)² + 1 = (sec θ)²
2.) tan² θ + 1 = sec² θ
Now, if we divide through equation 1.) by sin² θ, we get the third Pythagorean Identity as follows:
(sin² θ + cos² θ)/sin² θ = 1/sin² θ
(sin² θ/sin² θ) + (cos² θ/sin² θ) = 1/sin² θ
1 + (cos θ/sin θ)² = (1/sin θ)²
1 + (cot θ)² = (csc θ)²
3.) 1 + cot² θ = csc² θ
15 is 37 1/2 of what number?
Answer: 40
Step-by-step explanation:
15 / 37.5 x 100 = 40
12 is 58% of what number?
Also can you explain how to solve these problems?
Answer:
20.68976
Step-by-step explanation:
Convert the percentage into decimal :
58% = 0.58
0.58 × x = 12
Divide both sides by 0.58 :
x = 12÷0.58
x = 20.689655...
x = 20.68976
So the method to these types of question is to make the question into an equation by converting the percentage into a decimal, rearrange to make the unknown number the subject and solve .
Hope you understood and have a good day
Approximate the definite integral using the Trapezoidal Rule and Simpson's Rule. Compare these results with the approximation of the integral using a graphing utility. (Round your answers to four decimal places.)
7∫1ln(x) dx, n = 4
Answer:
\(\int^7_1 \in f(x) dx =7.6214\)
Step-by-step explanation:
From the question we are told that:
Definite integral \(\int^7_1 ln(x) dx, n = 4\)
Generally the equation for Trapezoidal Rule is mathematically given by
\(\int^b_a f(x) dx = \frac{\triangle x}{2}(f(x_0)+2f(x_1)+2f(x_2)+... 2f(x_{n-1}+f(x_n))\)
Where
\(h =\triangle x\)
\(h=\frac{b-a}{n}\)
\(h=\frac{7-1}{4}\)
\(h=1.5\)
Therefore
For \(n =4\ \ i.e\ x_0 -x_4\)
The Endpoints are
\(a=1\)
\(a'=a+h=>1+1.5=>2.5\)
\(a''=a'+h=>2.5+1.5=>4\)
\(a'''=a''+h=>4+1.5=>5.5\)
\(b=7\)
Evaluating trapezoidal function at endpoints
\(f(x_0)=f(a)=f(1)=\in(0)=0\)
\(2f(x_1)=2f(2.5)=2\in(2.5)=1.833\)
\(2f(x_2)=2f(4)=2\in(4)=2.77\)
\(2f(x_3)=2f(5.5)=2\in(5.5)=3.41\)
\(f(x_0=f(7=\n(7)=1.945\)
Therefore approximation of the integral
\(\int^b_a f(x) dx = \frac{\triangle x}{2}(f(x_0)+2f(x_1)+2f(x_2)+... 2f(x_{n-1}+f(x_n))\)
\(\int^b_a f(x) dx = \frac{3/2}{2}(f(0)+1.833+2.77+3.41+1.945)\)
\(\int^b_a f(x) dx =7.4704\)
b)
Generally the equation for Simpson,s Rule is mathematically given by
\(\int^b_a f(x) dx =\frac{\triangle x}{3}(f(x_0)+4f(x_1)+2f(x_2)}+4f(x_3))+....2f(x_{n-2})+4f(x_{n-1})+f(x_n))\)
Where
\(h \triangle x\)
\(h=\frac{b-a}{n}\)
\(h=\frac{7-1}{4}\)
\(h=1.5\)
Therefore
For \(n =4 i.e x_0 -x_4\)
The Endpoints are
\(a=1\)
\(a'=a+h=>1+1.5=>2.5\)
\(a''=a'+h=>2.5+1.5=>4\)
\(a'''=a''+h=>4+1.5=>5.5\)
\(b=7\)
Evaluating trapezoidal function at endpoints
\(f(x_0)=f(a)=f(1)= \in(0)=0\)
\(4f(x_1)=4f(2.5)=4 \In (2.5)=3.66516\)
\(2f(x_2)=2f(4)=2\in(4)=2.77\)
\(4f(x_3)=4f(5.5)=4\in(5.5)=6.8189\)
\(f(x_4)=f(b)=f(7)=in(7)=1.9456\)
Therefore
\(\int^b_a f(x) dx =\frac{\triangle x}{3}(f(x_0)+4f(x_1)+2f(x_2)}+4f(x_3))+....2f(x_{n-2})+4f(x_{n-1})+f(x_n))\)
\(\int^b_a f(x) dx =\frac{1}{2}(0+3.66516+2.77+6.8189+1.9459)\)
\(\int^b_a f(x) dx =7.6013\)
Therefore shown graphing utility
\(\int^7_1 \in f(x) dx = x\inx-x+c\)
\(\int^7_1 \in f(x) dx =7\in(7)-6\)
\(\int^7_1 \in f(x) dx =7.6214\)
Based on the information marked in the diagram
Answer:
I believe the answer is A. true
Answer:
True
Step-by-step explanation:
what is the area of the figure
Answer:
A = 2184 cm²
Step-by-step explanation:
the area (A) of the figure is calculated as
A = \(\frac{1}{2}\) h(b₁ + b₂)
where h is the perpendicular height between the bases b₁ and b₂
here h = 42 , b₁ = 52 , b₂ = 52 , then
A = \(\frac{1}{2}\) × 42 × (52 + 52) = 21 × 104 = 2184 cm²
Answer:
A = 2184 cm2
Step-by-step explanation:
Area of a parallelogram:
\(A = b*h\)
\(b=52,h=42\)
\(A=(42)(52)=2184cm^{2}\)
Hope this helps.
Sixty men can build a wall in 40days but though they begin the work together, 55 men quit every ten days. The Time needed to build the wall is?
It would take 370 days to build the wall with the given conditions.
If 60 men can build a wall in 40 days, then the total man-days required to build the wall is:
60 men x 40 days = 2400 man-days
However, 55 men quit every ten days, which means that after 10 days, there are only 60 - 55 = 5 men left to work on the wall. After 20 days, there are only 5 - 55 = -50 men left, which means that the remaining 5 men cannot work any faster than they were already working. Therefore, we can assume that the remaining 5 men complete the wall on their own.
The number of man-days required for the first 10 days is:
60 men x 10 days = 600 man-days
The number of man-days required for the second 10 days is:
5 men x 10 days = 50 man-days
The total number of man-days required for the first 20 days is:
600 man-days + 50 man-days = 650 man-days
The remaining work can be completed by the 5 men in:
2400 man-days - 650 man-days = 1750 man-days
Therefore, the total time needed to build the wall is:
20 days + 1750 man-days / 5 men = 20 + 350 days = 370 days
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what is the domain of g?
A)-3≤g(x)≤4
B)-4≤g(x)≤4
C)-6≤g(x)≤4
D)-7≤g(x)≤4
Chad has a rope that is 24 yards long. How many pieces of rope measuring of a yard can he divide his rope into1/4
The pieces of rope measuring a yard can he divide his rope into1/4 would be 96.
What is the unitary method?The unitary method is a method for solving a problem by the first value of a single unit and then finding the value by multiplying the single value.
Chad has a rope that is 24 yards long. He wants to divide the rope so each piece will be 1/4 yards
= 24÷1/4
= 24× 4
= 96
Hence he can divide the rope into 96 pieces.
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John ran up and $88 Bill last Saturday the service was excellent so we decided to leave a 30% tip for the waitress how much was his tip
$26.40
ten percent is 88 divided by 10= 8.8
8.8 multiplied by 3 is 26.40
Which equations represent the line that is parallel to 3x – 4y = 7 and passes through the point (-4,-2)? Select two
y = - 2/4 x + 1
3x - 4y = -4
14x – 3y = -3
y-2 = -2/4 (x - 4)
y+ 2 = 3/4 (x + 4)
lol
Step-by-step explanation:
Allan bought a rug shaped as a semicircle that has a radius of 4 yards. What is the circumference of the rug? Plz answer
Please please please help
3x+x= 180°(straight angle)
4x= 180°
x= 180/4
x= 45°
when solving the equation 5x-3=5, MaReeco rewrote the equation as 5x =2.Did MaReeco perform an acceptable move to this equation? why or why not?
Answer:
Please check the explanation.
Step-by-step explanation:
Given the equation
\(5x-3=5\)
MaReeco's rewrote equation is given by
\(5x = 2\)
As MaReeco subtracted 3 to the right side of the equation, which imbalanced the equation. Hence, it is not correct.
Correction:
For the next step, MaReeco should have added 3 to both sides
i.e.
\(5x-3+3=5+3\)
\(5x=8\)
Therefore, the acceptable move would have been:
\(5x=8\)Plant A and Plant B are on different watering schedules. This affects their rate of growth. Plant A started at a height of 8 inches and grows 1.5 inches per week. Plant B started at 3 inches and grows at 4 inches per week. After how many weeks, will the plants be the same height?
Both the plants A and B will reach the same height after 2 weeks
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 number of weeks = x
Plant A started at 8 inches and grows 1.5 inches per week
So , after x weeks
Plant A height = 8 + 1.5x feet
Plant B started at 3 inches and grows 4 inches per week
So , after x weeks
Plant B height = 3 + 4x feet
Now , for both the plants to have equal height after x weeks ,
Plant A height = Plant B height
So ,
8 + 1.5x = 3 + 4x
Subtracting 3 on both sides , we get
4x = 1.5x + 5
Subtracting 1.5x on both sides , we get
2.5x = 5
Divide by 2.5 on both sides , we get
x = 2 weeks
Hence , it will take 2 weeks for both the plants A and B to have the same height
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One month Lamar rented 12 movies and 2 video games for a total of $43. The next month he rented 3 movies and 5 video games for a total of $40. Find the rental cost for each movie and each video game.
Answer:
the answer is $53
Step-by-step explanation:
What transformation happened to the parent linear function when the m is changed to 3? Parent equation: y=x. New equation y=3x
Answer:
Step-by-step explanation:
the funtion was dilated by a factor of 3 since insted or x we have 3x
What is the simplified expression for Negative 3 c d minus d (2 c minus 4) minus 4 d?
Answer:2-3= ur answer then mutiply it by 4 then boom! hope helpsss\
Step-by-step explanation: