Answer:
112
Step-by-step explanation:
▪︎ Volume of pyramid = (1/3) * base area * height
▪︎ Base area = 8 * 7
▪︎ Height = 6
▪︎ Volume = 8 * 7 * 6 / 3 = 112
Which pair or pairs of polygons are congruent?
Answer:
2
Step-by-step explanation:
Congruent shapes are 2 shapes that are ewual in size angles and sides, but they can be rotated or moved around in any way
A sequence defined by f (1) = 3 and f (n) = 2 - f (n - 1) for n ≥ 2. Which of the following
statements defines the n' term of f?
Answer:
None of these
Step-by-step explanation:
See attached image
So
f(n)=2.f(n-1)Like that
f(2)
2.3=3×2¹f(3)
2.2.3=3×2²As you can see
It's an geometric progression
first term=a=3common ratio =r=2So the formula is
f(n)=3.2^{n-1}None of the above
Solve the inequality.
|6p+3|>15
A. p>-2 or p<3
B. p<2 or p>-3
C. p<-2 or p>3
D. P>2 or p<-3
Answer:
D. P>2 or p<-3Step-by-step explanation:1. Apply absolute rule :
6p + 3 < -15 or 6p + 3 > 15
2.6p + 3 < -15 or 6p + 3 > 15P < - 3 or P > 2
(6+9i)(6-9i) How to solve?
[tex]~~(6+9i)(6-9i)\\\\=6^2-(9i)^2~~~~~~~~~~~~~~~~~~~;[a^2-b^2 =(a+b)(a-b)]\\\\=36-81i^2\\\\=36-81(-1)~~~~~~~~~~~~~~~~;[i^2 = -1]\\\\=36+81\\\\=117[/tex]
What is the slope of the line x = 4?
A. 4
B. Undefined
C. 1
D.O
5. Jared is playing a game that involves rolling a die and flipping a coin. 6. Please describe an event that may occur in this game. 7. What is the probability that he will roll a 5 and get a head
An event that may occur in the game is you roll a and get a tail.
The probability that he will roll a 5 and get a head is 1 / 12.
What is the probability?
Probability determines the chances that an event would happen. The probability the event occurs is 1 and the probability that the event does not occur is 0.
The probability that he will roll a 5 and get a head = (Number of sides with a 5 / number of sides in a cube) x (number of sides with a head / number of sides in a coin)
1/6 x 1/2 = 1 / 12.
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I NEED HELP ASAP Which graph represents the function?
f(x)=√x + 1
Answer:
Step-by-step explanation:
It looks like the best option is 3.
Given the equation,
we can make a table. x as input and y as output to get our points to the graph.
I have used the desmos graph as a reference to confirm the equation by graphing also. The table is also there.
i need help please thanks
A golf ball, thrown upwards, rises at a speed of v metres per second.
The ball reaches a maximum height of h metres.
h is proportional to the square of v.
When v = 10, h = 8
Work out the maximum height reached by the golf ball when v = 45
Answer:
162 metres
Step-by-step explanation:
Since h is proportional to the square of v, we know that their ratio must be constant, so [tex]v_1^2/h_1 = v_2^2/h_2[/tex] where v1 and v2 are velocities and h1 and h2 are their respective heights.
Since we are given that v = 10 and h = 8, we can set v1 = 10 and h1 = 8 and since we are trying to find the height for v = 45, we can set v2 = 45. Inputting these values into the equation and solving, we get
10^2/8 = 45^2/h2
h2 = 45^2/(10^2/8) = 162 metres
I hope this helps!
Given that XW bisects AXZ, what theorem or theorems could be used to justify that W is equidistant from the two outside rays?
Answer:
HA congruence postulate
Step-by-step explanation:
In order to show W is equidistant from A and Z, we must demonstrate that WA ≅ WZ. The HA congruence postulate can be used for that purpose.
__
proofWX bisects AXZ, so ∠WXA≅∠WXZ by the definition of an angle bisector. By the reflexive property of congruence, WX≅WX. The angles at A and Z are given as right angles.
So, we have triangles WAX and WZX that are right triangles with congruent hypotenuse and corresponding angle. These are the preconditions for the application of the HA congruence postulate. That postulate says the triangles WAX and WZX are congruent, so ...
WA ≅ WZ by CPCTC. Hence W is equidistant from the outside rays.
__
Additional comment
The definition of distance from a point to a line is the perpendicular distance from the point to the line. In this geometry, the perpendicular distances from W to the outside rays are the lengths of segments WA and WZ. That is why we need to show those lengths are the same.
which description is represented by a discrete graph
The statement: "Kiley bought a platter for $ 19 and several matching bowls that were $ 8 each. What is the cost before tax?" shows discrete graph.
What is Discrete Graph?A discrete graph is one with scattered points. They may or may not show a direction or trend. They don't have data in between the points already given.
Here only first option shows a graph with scattered point.
Thus, the statement: "Kiley bought a platter for $ 19 and several matching bowls that were $ 8 each. What is the cost before tax?" shows discrete graph.
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Multiple Choice Worth 5 points)
(02.07 MC)
In the figure shown, what is the measure of angle x?
40⁰
D
B
70°
O 100 degrees
O 110 degrees
120 degrees
O 140 degrees
Answer:
110 is the correct answer...
what is measured by the speed of doing work
Power is often measured in joules of work per second
wo containers designed to hold water are side by side, both in the shape of a cylinder. Container A has a radius of 12 feet and a height of 13 feet. Container B has a radius of 8 feet and a height of 16 feet. Container A is full of water and the water is pumped into Container B until Conainter B is completely full
The percentage of Container A that is full after the pumping is complete is; 45.3%
How to find the Volume of a Cylinder?
The formula for volume of a cylinder is;
V = πr²h
Volume of Cylinder A is;
V = π × 12² × 13
V = 1872π
Volume of Cylinder B is;
V = π × 8² × 16
V = 1024π
After pumping, volume in container A will be;
V_new = 1872π - 1024π
V_new = 848π
Percentage is;
848π/1872π * 100% = 45.3%
Thus, 45.3% of Container A is full after the pumping is complete.
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(5√3-√27)^2
How do you prove this is an integer?
Expand the square. Remember that
(a - b)² = a² - 2ab + b²
With a = 5√3 and b = √27, we have
(5√3 - √27)² = (5√3)² - 2 (5√3) √27 + (√27)²
… = 25•3 - 10√81 + 27
… = 75 - 10√(9²) + 27
… = 102 - 10•9
… = 102 - 90
… = 12
Direction: Read and understand each problem and solve. Show your solution if necessary.
1. There are 3 gold medalist, 5 silver medalist and twelve bronze medalists. One student is randomly chosen for an interview. Find the probability that the student is a silver medalist.
2. A letter is chosen from the word MATHEMATICS. What is the probability that the letter is?
a. consonant?
b. vowel?
c. not a letter A?
3. Suppose the probability that a television is defective is 0.123. What is the probability that a television is not defective?
[1] 0.25, 0.25%, or [tex]\frac{1}{4}[/tex]
We will divide the number of wanted outcomes by possible outcomes.
[tex]\displaystyle \frac{\text{wanted outcomes}}{\text{possible outcomes}} =\frac{5}{3+5+12} =\frac{5}{20} =\frac{1}{4}[/tex]
[2]
We will follow the same steps as problem 1.
MTHMTCS = 7 consonants
AEAI = 4 vowels
MTHEMTICS = 9 letters that are not A's
MATHEMATICS = total of 11 letters
(a)
[tex]\displaystyle \frac{\text{wanted outcomes}}{\text{possible outcomes}} =\frac{7}{11}[/tex]
(b)
[tex]\displaystyle \frac{\text{wanted outcomes}}{\text{possible outcomes}} =\frac{4}{11}[/tex]
(c)
[tex]\displaystyle \frac{\text{wanted outcomes}}{\text{possible outcomes}} =\frac{9}{11}[/tex]
[3] 0.877
If the probability that a television is defective is 0.123, then the probability that a television is not defective is:
1 - 0.123 = 0.877
Factor, using magic x. x^2-8x-9
PLEASE HELP VERY URGENT THE SOONER THE BETTER.
Answer:
(x+1)(x-9)
Step-by-step explanation:
x^2+x-9x-9=0
x*(x+1)-9(x+1)=0
(x+1)(x-9)=0
x+1=0
x-9=0
x=-1 and x=9
Pls help asap I’ll give brainliest show all your work to pls
Answer:
It takes 13 hours and 15 minutes to paint longer walls of the houseStep-by-step explanation:
Given:Rectangular house. Painting of the longer walls takes 8 hours longer than painting shorter walls.Total time to paint is 18.5 hours.Let the length of shorter sides be x and longer sides be y.
Then we have the system:
y = x + 8x + y = 18.5Solve it by substitution:
x + x + 8 = 18.52x + 8 = 18.52x = 10.5x = 10.5/2x = 5.25Find the value of y:
y = 5.25 + 8 = 13.25 hours or 13 hours and 15 minutesShorter one be x
longer one=x+8
Total time=18.5hSo
x+x+8=18.52x+8=18.52x=18.5-82x=10.5x=10.5/2x=5.25hoursTime required for longer side
5.25+813.25hoursRewrite in simplest radical form 1 x^-3/6 . Show each step of your process.
What is GC?
A. 9
B. 12
C. 13
D. 14
Answer:
C 13
Step-by-step explanation:
i think answer its c
Answer:
nah man it's 12without a doubt look over at d a that's 13 if you compare the to gc is smaller in length so it is 12
Which ordered pair is a solution to the system of inequalities ? (1, –5) (3, 0) (–1, –2) (1, 5)
Point (3,0) is system solution.
What is inequality?A statement of an order relationship—greater than, greater than or equal to, less than, or less than or equal to—between two numbers or algebraic expressions.
We have
y> -2
x + y <4
For (1,-5):First inequation:
-5> -2 (incorrect)
Second inequality:
1-5 <4 (correct)
For (3,0):First inequation:
0> -2 (correct)
Second inequality:
0+3 <4 (correct)
For (-1,-2):First inequation:
-2> -2 (incorrect)
Second inequality:
-1-2 <4 (correct)
For (1,5):First inequation:
5> -2 (correct)
Second inequality:
1+5 <4 (incorrect)
Hence, Point (3,0) is system solution.
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Solve using the quadratic formula. (2 points)
20. -2x²-3x + 5=0
Answer:
-2x²-3x+5=0
-2x²+2x-5x + 5 = 0
-2x(x+1)-5(x + 1) = 0
(x+1) (-2x-5) = 0
Anya graphed the line (y−2)=3(x−1) on the coordinate grid.
A coordinate plane with a line passing through the points, (negative 2, negative 7), (0, negative 1), and (1, 2).
What is the slope of Anya’s line?
The slope of Anya’s line on the graph is 3
How to determine the slope of the line?The equation is given as:
(y−2)=3(x−1)
Remove brackets
y − 2 = 3x − 3
Add 2 to both sides
y = 3x − 1
A linear equation is represented as:
y = mx + c
Where m represents the slope;
By comparison, m = 3
Hence, the slope of Anya’s line is 3
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Answer:
3
Step-by-step explanation:
its right
1. A basketball has a volume of 167 in³. What is the circumference of the basketball, in terms of ? Show your work.
Answer:
21.47034391
by using the formula of volume i found radius and after that i use the formula of circumference and found it
hope you will understand
volume=4/3πr^3 and circumference= 2πr
Simplify the expression: 4+(11-3)²
Answer:
68
Step-by-step explanation:
[tex]4+\left(11-3\right)^2\\(11-3)=8\\=4+8^2\\=4+64\\=68[/tex]
A quadrilateral has two angles that measure 200° and 110°. The other two angles are in a ratio of 2:3. What are the measures of those two angles?
Answer:
20° and 30°
Step-by-step explanation:
the sum of the 4 angles in a quadrilateral = 360°
given 2 angles are 200° and 110° , then remaining 2 angles sum to
360° - 200° - 110° = 360° - 310° = 50°
sum the parts of the ratio, 2 + 3 = 5 parts , then
1 part = 50° ÷ 5 = 10° , so
2 parts = 2 × 10° = 20°
3 parts = 3 × 10° = 30°
the two angles are 20° and 30°
Someone pls help me ASAP! Express the following as the sum of its partial fraction: 2x+4/x(x+2)(x-4)
Answer:
Step-by-step explanation:
[tex]\frac{2x+4}{x(x+2)(x-4)} =\frac{a}{x} +\frac{b}{x+2} +\frac{c}{x-4} \\2x+4=a(x+2)(x-4) +bx(x-4)+cx(x+2)\\[/tex]
put x=0
0+4=a(0+2)(0-4)+0+0
-8a=4
a=-4/8=-1/2
put x+2=0 or x=-2
2(-2)+4=0+b(-2)(-2-4)+0
12b=0
b=0
put x-4=0 or x=4
2(4)+4=0+0+c(4)(4+2)
24c=12
c=12/24=1/2
[tex]\frac{2x+4}{x(x+2)(x-4)} =\frac{-1}{2x} +0+\frac{1}{2(x-4)} \\\frac{2x+4}{x(x+2)(x-4)} =\frac{-1}{2x} +\frac{1}{2(x-4)}[/tex]
1. Basketball practice begins at 6:30 P.M. and
lasts until 8:15 P.M. How much time does
practice last?
What is the missing reason for the 4th step in the proof below?
The reason for step 4 that is missing is: definition of linear pair.
What is a Linear Pair of a Straight Line Angle?A line pair are two angles on a straight line whose sum equals 180 degrees.
Angles ANV and ANR line on a straight line and are therefore linear pair. This implies that:
m∠ANV + m∠ANR = 180 degrees
Therefore, the missing reason is: definition of linear pair.
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Solve 3x² + 4x = 2. (2 points)
O 2 ± √10
—————
6
O −2+2√10
——————-
3
O −2+√10
——————-
3
O
-4± √10
————
3
Answer:
Step-by-step explanation:
As it is a second order equation, it means that it has two possible answers and they are [tex]x_1[/tex] and [tex]x_2[/tex].
The famous quadratic formula for solving any second order equation is the following:
[tex]x_{1} = \frac{-b + \sqrt{b^2 - 4 ac}}{2a}\\x_{2}=\frac{-b - \sqrt{b^2 - 4 ac}}{2a}[/tex]
Where a is the coefficient of [tex]x^2[/tex], b is the coefficient of x, and c is the free term. In other words,
[tex]a = 3\\b=4\\c=-2[/tex]
as the equation should be in the following form:
[tex]a x^2 + bx+c = 0[/tex]
Therefore the possible answer should be the following,
[tex]\frac{-4 + \sqrt{4^2 - 4*3*(-2)}}{2*3}=\frac{-4 +\sqrt{16 + 24}}{6} =\frac{-4 + \sqrt{40}}{6}=\\ \frac{-4 + \sqrt{4*10}}{6} = \frac{-4 + 2\sqrt{10}}{6}[/tex][tex]\frac{2*(-2 + \sqrt{10})}{2*3} = \frac{-2 + \sqrt{10}}{3}[/tex]
by dividing the numerator and denominator by 2, we can deduce the following,