Answer:
The polynomial 3x2 is a
monomial
with a degree of
2
.
The polynomial x2y + 3xy2 + 1 is a
trinomial
with a degree of
✔ 3
.
Step-by-step explanation:
this the answer on the edge
What is the value of b?
Round your answer to the nearest tenth.
15.7 yd
24.1 yd
35.1 yd
36.2 yd
The figure shows acute triangle A B C. The measure of angle B is 34 degrees. The length of side A B is 28 yard. The length of side B C is 22 yard. The length of side C A is b.
Answer:
A. 15.7 yards.
Step-by-step explanation:
Please find the attached file.
We have been given that in triangle ABC, the measure of angle B is 34 degrees. The length of side AB is 28 yards and the length of side BC is 22 yards. The length of side CA is b.
We will use law of cosines to find the length of side 'b'.
[tex]c^2=a^2+b^2-2ab\times cos(C)[/tex]
Upon substituting our given values in above formula we will get,
[tex]CA^2=22^2+28^2-2\times 22\times 28\times cos(34^{\circ})[/tex]
[tex]CA^2=484+784-1232\times 0.829037572555[/tex]
[tex]CA^2=1268-1021.37428938776[/tex]
[tex]CA^2=246.62571061224[/tex]
Taking square root of both sides we will get,
[tex]CA=\sqrt{246.62571061224}[/tex]
[tex]CA=15.70432139929\approx 15.7[/tex]
Since the length of side CA is b, therefore, the value of b is 15.7 yards and option A is the correct choice.
ank’s teacher asked him to verify that the product (y – 3)(y2 + 3y + 9) is a difference of cubes. He used the distributive property to multiply the binomial times the trinomial. Before simplifying, his product was a polynomial of the form y3 + 3y2 + ay – 3y2 – ay – 27. What is the value of a in the polynomial?
Determine whether the triangles are similar. If so, what is the similarity statement and the postulate or theorem used?
Answer:
DGH~DFE; SAS~
Step-by-step explanation:
At a carnival, Brian bought 9 packs of 16 tickets each. He uses 39 tickets so far . how many tickets does he have left
The number of tickets left after using 39 tickets is 105.
What is multiplication?Multiplication is the process of adding a number up to a given number
Given that, there are 9 packs and there are 16 tickets in each pack.
Therefore, the total number of tickets is:
16 × 9
= 144
Now, the number of available tickets after using 39 tickets:
144 - 39
= 105
Hence, the number of tickets left after using 39 tickets is 105.
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A ball is thrown into the air with an upward velocity of 32 ft/s. Its height (h) in feet after t seconds is given by the function h= -16t^2 + 32t + 6. How long does it take the ball to reach its maximum height? What is the ball’s maximum height? Roun
The lenght of a rectangle is twice its width. The area of the rectangle is 18 square centimeters. Find the perimeter of the rectangle?
All of the following represent the same expression except _____.
-8ab
-8(a)(b)
8 - ab
-8 · a · b
An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.
The expression that is not the same as the rest of the expressions is
8 - ab.
Option C is the answer.
What is an expression?An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.
Example:
2 + 3x + 4y = 7 is an expression.
3x - 5 is an expression.
4x + 4 is an expression.
4 x 5 - 5x is an expression.
We have,
1) -8ab
2) -8 (a) (b)
= -8ab
3) 8 - ab
4) -8.a.b
= -8ab
We see that,
All the expressions are the same except the expression
8 - ab
Thus,
The expression that is not same with the rest of the expression is
8 - ab.
Option C is the answer.
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A 4-foot tall person standing with her back to the sun casts an 6-foot long shadow. To the nearest degree, what angle does the sun make with the ground?
A barn is an atomic unit of area equal to 10–28 m2. what is the surface area of the earth expressed in units of barn? assume the earth is a sphere with a radius of km. (the surface area of a sphere is 4πr2.)
Jill recorded the average number of gallons of water that she used on her garden each day during different months. The chart below displays her records.
Month
Gallons Per Day
March
35
April
37
May
42
June
55
July
65
August
34
September
24
When does Jill’s chart show the greatest increase in the gallons used per day?
A.
May to June
B.
June to July
C.
July to August
D.
March to April
AB is dilated by a scale factor of 3 to form A'B' . Point O, which lies on AB , is the center of dilation. The slope of AB is 3. The slope of A'B' is . through point O.
The slope will remain the same, So the slope of [tex]A'B'[/tex] will be [tex]3[/tex].
Step-by-step explanation:
Given: [tex]AB[/tex] is dilated by a scale factor of [tex]3[/tex] to form [tex]A'B'[/tex] . Point [tex]O[/tex], which lies on [tex]AB[/tex], is the center of dilation. The slope of [tex]AB[/tex] is [tex]3[/tex].
As mentioned in question:
Given that [tex]AB[/tex] has been dilated by scale factor [tex]3[/tex] to form [tex]A'B'[/tex].
So using laws of dilation, the image is congruent to the pre image.
This implies that the image will not change in any way whatsoever apart from the size.
Hence, the slope will remain the same, So the slope of [tex]A'B'[/tex] will be [tex]3[/tex].
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What’s the answer to question 13
How do you find the lateral area of the prism
4. Find the diameter of the circle for BC = 10 and DC = 23. Round to the nearest tenth. The diagram is not drawn to scale. (1 point) 62.9 52.9 7.7 42.9
For one History test, John had to answer 45 questions, John answered 33 of them correctly. What percent did John get on his history test? Round your answer to the nearest tenth if necessary.
PLEASE SHOW WORK!!!
HELP IM GIVING 20 POINTS AND BRAINLY
What is the correlation coefficient r for the data set?
Enter your answer to the nearest hundredth in the box.
r =
x y
25 240
26 242
27 230
28 229
28 220
28 219
29 200
30 202
31 184
32 180
we know that
using a excel tool
see the attached table
the correlation coefficient r for the data set is
r=-0.96
the answer is
-0.96
Find the first derivative?
y = 1/(x - 2) - 3
y' = d(x - 2)^-1 / dx The three is a constant and will disappear.
y' = d(x - 2)^-1 -1 d(x - 2)/dx
y' = -1*(x - 2)^-2 * 1
The minus comes from bringing down the original power down and reducing the power by one of the question. The 1 at the end comes from differentiating what is inside the brackets. It is called the chain rule
d(x - 2) / dx = d(x) / dx which is 1. The two, being a constant, disappears. The final answer is
y' = - (x - 2)^-2
Answer:
[tex]\displaystyle y' = \frac{-1}{(x - 2)^2}[/tex]
General Formulas and Concepts:
Calculus
Differentiation
DerivativesDerivative NotationDerivative Property [Multiplied Constant]: [tex]\displaystyle \frac{d}{dx} [cf(x)] = c \cdot f'(x)[/tex]
Derivative Property [Addition/Subtraction]: [tex]\displaystyle \frac{d}{dx}[f(x) + g(x)] = \frac{d}{dx}[f(x)] + \frac{d}{dx}[g(x)][/tex]
Basic Power Rule:
f(x) = cxⁿf’(x) = c·nxⁿ⁻¹Derivative Rule [Quotient Rule]: [tex]\displaystyle \frac{d}{dx} [\frac{f(x)}{g(x)} ]=\frac{g(x)f'(x)-g'(x)f(x)}{g^2(x)}[/tex]
Derivative Rule [Chain Rule]: [tex]\displaystyle \frac{d}{dx}[f(g(x))] =f'(g(x)) \cdot g'(x)[/tex]
Step-by-step explanation:
Step 1: Define
Identify
[tex]\displaystyle y = \frac{1}{x - 2} - 2[/tex]
Step 2: Differentiate
Derivative Rule [Quotient Rule]: [tex]\displaystyle y' = \frac{1'(x - 2) - 1(x - 2)'}{(x - 2)^2}[/tex]Basic Power Rule [Derivative Property - Addition/Subtraction]: [tex]\displaystyle y' = \frac{-1(1)}{(x - 2)^2}[/tex]Simplify: [tex]\displaystyle y' = \frac{-1}{(x - 2)^2}[/tex]Topic: AP Calculus AB/BC (Calculus I/I + II)
Unit: Differentiation
Angles α and β are the two acute angles in a right triangle. Use the relationship between sine and cosine to find the value of α if α < β. sin(2x − 8) = cos(6x − 6)
Answer:
The value of angle α is 18 degree.
Step-by-step explanation:
Given information: Angles α and β are the two acute angles , α < β.
Given equation is
[tex]\sin (2x-8)=\cos (6x-6)[/tex]
[tex]\cos (90-(2x-8))=\cos (6x-6)[/tex] [tex][\because \sin (90-x)=\cos x][/tex]
Equating both sides.
[tex]90-2x+8=6x-6[/tex]
[tex]98+6=6x+2x[/tex]
[tex]104=8x[/tex]
[tex]13=x[/tex]
The value of x is 13.
The measure of angles is
[tex]2x-8=2(13)-8=18[/tex]
[tex]6x-6=6(13)-6=72[/tex]
Since 18<72, therefore the value of angle α is 18 degree.
Answer:
A
Step-by-step explanation:
PLEASEEE PLEASSE HELP!! BRANLIEST!!!PLEASEEE
Triangle XYZ is formed by the three squares J, K, and L:
Which statement best explains the relationship between the sides of triangle XYZ?
XY + YZ = ZX, because 144 + 256 = 400
(XY)2 + (YZ)2 = (ZX)2, because 144 + 256 = 400
(XY)2 + (YZ)2 = (ZX)2, because 202 + 122 = 162
XY + YZ = ZX, because 202 + 122 = 162
Triangle XYZ is formed by the three squares J, K, and L
So it is a right triangle.
Pythagorean Theorem: a^2 + b^2 = c^2
Answer:
(XY)^2 + (YZ)^2 = (ZX)^2, because 144 + 256 = 400
what’s a transversal angle
find the probability that a student chosen at random plays football or cricket or both
Each statement describes a transformation of the graph of f(x) = x. Which statement correctly describes the graph of g(x) if g(x) = f(x) + 3?
A.
It is the graph of f(x) translated 3 units up.
B.
It is the graph of f(x) translated 3 units to the right.
C.
It is the graph of f(x) where the slope is decreased by 3.
D.
It is the graph of f(x) translated 3 units down.
The statement correctly describes the graph of g(x) if g(x) = f(x) + 3, it is the graph of f(x) translated 3 units down. The correct option is D.
What is transformation of graph?When an existing graph is modified to produce a new variation of the existing graph.
Let y = f(x) then f(x)-3 means y-3. Subtracting 3 from the y coordinate of each point will move the entire curve down 3 units.
Thus, the correct option is D.
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Ill Mark Brainliest if you answer correctly. The figure below shows a shaded circular region inside a larger circle:
A shaded circle is shown inside another larger circle. The radius of the smaller circle is labeled as r and the radius of the larger circle is labeled as R. On the right side of the image is written r equal to 4 inches and below r equal to 4 inches is written R equal to 5 inches.
What is the probability that a point chosen inside the larger circle is not in the shaded region?
24%
36%
50%
64%
First we have to find the areas of both circle using the formula
[tex] Area = \pi r^2 [/tex]
For larger circle,
[tex] Area= \pi(5)^2 = 25 \pi [/tex]
For smaller circle,
[tex] Area = \pi (4)^2 = 16 \pi [/tex]
Required probability
[tex] = \frac{25 \pi -16 \pi}{25 \pi} *100 = \frac{9}{25}*100 = 36% [/tex]
Correct option is the second option .
Answer:
the other person is correct
Step-by-step explanation:
give them brainliest
Can someone help me find the area of the following figure
A rectangle measures 12cm by 7cm. What is its area
The figure below shows a shaded circular region inside a larger circle:
A shaded circle is shown inside another larger circle. The radius of the smaller circle is labeled as r and the radius of the larger circle is labeled as R. On the right side of the image is written r equal to 4 inches and below r equal to 4 inches is written R equal to 5 inches.
What is the probability that a point chosen inside the larger circle is not in the shaded region?
24%
36%
50%
64%
Points earned on this question: 0
Answer:
36%
Step-by-step explanation:
Is (3, 2) a solution to this system of equations?
8x + 7y = 37
2y = 4x - 2
Mark placed a pool in his backyard which is enclosed by a triangular fence the radius of the pool is 20.5 feet. How backyard is not covered by the pool
A ball is dropped from a height of 12 feet. Each time it bounces, it rebounds 3
4
of the distance it has fallen. How far will it rebound after the third bounce?
A) 0.75 feet
B) 5.0625 feet
C) 6.75 feet
D) 9 feet
Final answer:
After calculating the rebound height for each bounce by multiplying the height from the previous bounce by 75%, the ball will rebound to a height of B) 5.0625 feet after the third bounce.
Explanation:
The question is asking how far the ball will rebound after the third bounce. Initially, the ball is dropped from a height of 12 feet. On each bounce, it rebounds to ⅔3 (75%) of the previous height. To solve this, we need to calculate the height achieved on each successive bounce.
First bounce: 12 feet * ⅔3 = 9 feet
Second bounce: 9 feet * ⅔3 = 6.75 feet
Third bounce: 6.75 feet * ⅔3 = 5.0625 feet
Therefore, after the third bounce, the ball will rebound to a height of 5.0625 feet, which corresponds to option B.
The diagonal of a TV screen is 26 inches. The screen is 18.8 inches wide. How high is the screen? Round to the nearest hundredths place.
The height of the TV for the condition is 17.96 inches.
What is Pythagoras' theorem?In a right-angled triangle, the square of the hypotenuse side is equal to the sum of the squares of the other two sides, according to Pythagoras's Theorem. These triangle's three sides are known as the Perpendicular, Base, and Hypotenuse. Due to its position opposite the 90° angle, the hypotenuse in this case is the longest side.
Given the diagonal of the TV = 26 inches
width of screen = 18.8 inches
let the shape of TV be rectangular
so diagonal divide the rectangle in right triangles,
by Pythagoras' theorem we can find the height,
h² = b² + h²
h = hypotenuse = diagonal for given = 26 inches
b = base = width = 18.8 inches
h = height
(26)² = (18.8)² + h²
h² = 676 - 353.44
h = √322.56
h = 17.96 inches
Hence the height of TV is 17.96 inches.
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