The answer is seven
what is the value of z in the diagram?
Answer:
2
Step-by-step explanation:
Find the surface area of the square pyramid. Round your answer to the nearest hundredth
Answer:
175.415
Step-by-step explanation:
surface area of square pyramid is given by:
Area= s^2 + 2(s)(l)
where s is the base and l is the slant height
in given problem, slant height l is not given, so by using Pythagoras theorem finding l:
c^2= a^2 + b^2
= 8^2 + 4^2
= 48.49
c = 6.96348
Now putting values of s=8 and l= 6.96 in first formula
Area= 8^2 + 2(8)(6.96)
= 64 + 111.41
= 175.415
!
what is the slope of the line that passes through (-2,2) and (-4,-2)
Answer:
slope = 2
Step-by-step explanation:
Calculate the slope m using the slope formula
m = (y₂ - y₁ ) / (x₂ - x₁ )
with (x₁, y₁ ) = (- 2, 2) and (x₂, y₂ ) = (- 4, - 2)
m = [tex]\frac{-2-2}{-4+2}[/tex] = [tex]\frac{-4}{-2}[/tex] = 2
What is the value of x?
Enter your answer in the box.
Answer:
50 =x
Step-by-step explanation:
The two angles are vertical angles, so they are equal
2 (x+10) = 3x-30
Distribute the 2
2x+20 = 3x-30
Subtract 2x from each side
2x-2x+20 = 3x-2x-30
20 = x-30
Add 30 to each side
20+30 = x-30+30
50 =x
Answer:
x = 50
Step-by-step explanation:
We are given a diagram showing two vertically opposite angles and we are to find the value of x.
We know that when two lines intersect each other, vertically opposite angles are formed which are equal to each other.
Therefore, we can write them as:
[tex] 2 ( x + 1 0 ) = 3 x - 3 0 [/tex]
[tex] 2 x + 2 0 = 3 x - 3 0 [/tex]
[tex] 3 x - 2 x = 2 0 + 3 0 [/tex]
x = 50
What is the sum of of the odd numbers from 101 to 299?
Answer:
400
Step-by-step explanation:
maybe
i hope that helps
The following frequency table shows the number of players on the Russian Bears volleyball team that have been
injured for each match this year.
Number of injured players
Number of matches
Find the median number of injured players.
Help me please
The median of injured players in a match is found by arranging the number of injuries in each game in ascending order and identifying the middle value. The method slightly varies depending on whether the total number of matches is odd or even. The question lacks specifics for a detailed calculation.
Explanation:To find the median of injured players, you need to arrange the number of injured players in each match in ascending order and identify the middle value. However, your question doesn't provide the specifics of the frequency table for me to proceed with a step-by-step calculation. The median is found differently depending on whether there's an odd or even number of matches. If there's an odd number of matches, the median would be the value directly in the middle of the organized list. If it's an even number, you'd average the two middle values.
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What is the angle measure of D?
52°
56°
74°
102°
Answer:
52°
Step-by-step explanation:
<D = 360 - (78+106 + 124)
<D = 360 - 308
<D = 52°
Answer:
52
Step-by-step explanation:
<106+ 78+ 124>= 308
360-308=52
HOPE THIS HELPS!!!
decide whether each statement is possible or impossible for some angle theta. tan theata =-35.4 possible or impossible
Answer:
It is possible
Step-by-step explanation:
x = 1.5990374 + π n , for any integer n
The equation of line 1 is 3x−2y=5, and the equation of line 2 is x+2y=7. What is the point of intersection of the two lines?
A. (3,2)
B. (2,3)
C. (5,5)
D. (5,1)
Answer:
(3, 2)
Step-by-step explanation:
This is a system of equations so I'll solve it using the 'Addition method'.
3x - 2y = 5 | x + 2y = 7
Add the two equations together to get:
4x = 12
x = 3
Then we solve for y using the 2nd expression because it's easier.
3 + 2y = 7
2y = 4
y = 2
The point of intersection of the two lines 3x-2y=5 and x+2y=7 is found to be (3,2) by solving the system of equations simultaneously, making option A the correct answer.
To find the point of intersection of the two lines represented by the equations 3x−2y=5, and x+2y=7, we need to solve these equations together. This involves finding a common solution for x and y that satisfies both equations simultaneously.
Steps to Find the Intersection
Rewrite each equation in standard form if necessary. The equations are already in standard form.Solve one of the equations for one of the variables. Let’s solve the second equation for x: x = 7 - 2y.Substitute the expression for x from step 2 into the first equation: 3(7 - 2y) - 2y = 5.Simplify and solve for y: 21 - 6y - 2y = 5, which simplifies to -8y = -16. Solving for y gives y = 2.Substitute the value of y back into one of the original equations to solve for x. Using the second equation: x + 2(2) = 7, simplifying gives x = 3.Therefore, the point of intersection of the two lines is (3,2), which corresponds to option A.
Factor 6x^4 - 5x^2 + 12x^2 - 10 by grouping. What is the resulting expression?
Answer:
[tex](6x^2 -5) (x^2 +2 )[/tex]
Step-by-step-explanation:
We are given the following expression and we are to factorize it by grouping:
[tex]6x^4 - 5x^2 + 12x^2 - 10[/tex]
We will group the first two terms and the last two terms to get:
[tex](6x^4 - 5x^2) + (12x^2 - 10)[/tex]
For the first group we need to factor out x^2 and for the second group we will factor out 2.
[tex]x^2(6x^2 - 5) + 2(6x^2 - 5) [/tex]
[tex](6x^2 -5) (x^2 +2 )[/tex]
What is two times the quantity of a number minus 12
Answer: B Or Option 2
Step-by-step explanation: Your Answer Will Be The Second Choice Have A Great Day!
Compute the perimeter of the rectangle using the distance formula. (round to the nearest integer)
do you have a picture
Help! This one right here I didn’t learn please
For this case we have to define trigonometric properties of rectangular triangles that, the sine of an angle is given by the leg opposite the angle on the hypotenuse of the triangle. So:
[tex]Sin (53) = \frac {x} {10}[/tex]
We clear x:
[tex]x = 10 * without (53)\\x = 10 * 0.79863551\\x = 7,986,351[/tex]
Rounding:
[tex]x = 8[/tex]
ANswer:
8.0
Answer:
x could be the opposite or adjacent side ( sin or cos ) but it will still give you the same answer
Step-by-step explanation:
sin Ф = opp/hyp
sin 53 = x/10
10 sin 53 = x
x = 7.99
cos Ф = adj/hyp
cos 37 = x/10
10 cos 37 = x
x = 7.99
PLS HELP. Find the first four terms of the recursive sequence defined by the following formula:
Answer:
see explanation
Step-by-step explanation:
Given the recursive formula [tex]a_{n}[/tex] = [tex]\frac{a_{n-1} }{4}[/tex] and
[tex]a_{4}[/tex] = 2 [tex]\frac{1}{4}[/tex] = [tex]\frac{9}{4}[/tex], then
[tex]\frac{a_{3} }{4}[/tex] = [tex]\frac{9}{4}[/tex] ( multiply both sides by 4 )
a₃ = 4 × [tex]\frac{9}{4}[/tex] = 9
[tex]\frac{a_{2} }{4}[/tex] = 9 ( multiply both sides by 4 )
a₂ = 36
[tex]\frac{a_{1} }{4}[/tex] = 36 ( multiply both sides by 4 )
a₁ = 144
The first 4 terms are
144, 36, 9, 2 [tex]\frac{1}{4}[/tex]
The first four terms of the recursive formula are 144, 36, 9, 9/4 .
What is a recursive sequence ?A recursive sequence is an infinite sequence of numbers where each number in the sequence is equal to a fixed linear combination of one or more of its before or after number. In a recursive sequence, the series of the number present follows a particular sequence of logic.
How to solve the given recursive sequence ?Given series is an = (an-1)/4 and also a4 = 9/4
Putting n = 4 in the given recursive sequence,
⇒ a3/4 = a4
∴ a3 = a4 * 4 = 9/4 * 4 = 9
Again putting n = 3 in the given recursive sequence,
⇒ a2 = 4*a3
∴ a2 = 4 * 9 = 36
Finally putting n = 2 in the recursive sequence,
⇒ a1 = 4 * a2
∴ a1 = 4 * 36 = 144
Therefore, the first four terms of the recursive formula are 144, 36, 9, 9/4 .
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what is the surface area of this design ?
The surface area is 392in squared
hurry i need this!!!!!!!!!!!!!
ANSWER
[tex]h= 2 \cos(\pi(t + \frac{1}{2} )) + 5[/tex]
EXPLANATION
The given equation that models the height is
[tex]h(x) = - 2 \sin(\pi(t + \frac{1}{2} )) + 5[/tex]
This is sine a sine function that is reflected in the x-axis.
This function will coincide with the cosine function with the same amplitude, period, phase shift and vertical translation.
The function that can also model this height is
[tex]h= 2 \cos(\pi(t + \frac{1}{2} )) + 5[/tex]
The last choice is correct.
an equilateral triangle has a perimeter of 36 cm. what is the area?
Answer:
Each side of this equilateral triangle is 12 cm.
A = (1/2)(12)(6√3) = 36√3 cm²
The equilateral triangle, with a perimeter of 36 cm, has a side length of 12 cm. Its area is [tex]\(36\sqrt{3} \, \text{cm}^2\)[/tex], calculated using the formula [tex]\(\frac{\sqrt{3}}{4} \cdot s^2\)[/tex].
For an equilateral triangle, the perimeter (P) is related to the side length (s) by the formula P = 3s. From this, you can find the side length s by dividing the perimeter by 3:
[tex]\[ s = \frac{P}{3} = \frac{36}{3} = 12 \, \text{cm} \][/tex]
Now, you can use the side length to find the area (A) of the equilateral triangle. The formula for the area of an equilateral triangle is:
[tex]\[ A = \frac{\sqrt{3}}{4} \cdot s^2 \][/tex]
Substitute the value of (s):
[tex]\[ A = \frac{\sqrt{3}}{4} \cdot 12^2 \]\[ A = \frac{\sqrt{3}}{4} \cdot 144 \]\[ A = \frac{144\sqrt{3}}{4} \]\[ A = 36\sqrt{3} \, \text{cm}^2 \][/tex]
Therefore, the area of the equilateral triangle is [tex]\(36\sqrt{3} \, \text{cm}^2\)[/tex].
Factor to find the zeros of the function defined by the quadratic expression.
4x2 − 24x − 108
A) x = 3 or x = 9
B) x = 3 or x = −9
C) x = −3 or x = 9
D) x = −3 or x = −9
ANSWER
C) x = −3 or x = 9
EXPLANATION
The given quadratic function is:
[tex]4 {x}^{2} - 24x - 108[/tex]
To find the zeros, we equate to zero.
[tex]4 {x}^{2} - 24x - 108 = 0[/tex]
Divide through by 4
[tex] {x}^{2} - 6x - 27 = 0[/tex]
Factor to get,
[tex] {x}^{2} + 3x - 9x - 27 = 0[/tex]
[tex]x(x + 3) - 9(x + 3) = 0[/tex]
[tex](x + 3)(x - 9) = 0[/tex]
Use the zero product property,
[tex]x = - 3 \: or \: x = 9[/tex]
Please help me! 20 points!
A wooden block in the shape of a cube has a side length of 0.3 meter and has a mass of 18.954 kilograms.
What is the density of the block?
_______ kg/m³
Answer:
We first have to find the volume of the cube: (0.3 * 0.3 * 0.3) we then get 0.027, then we plug in the numbers for the density formula. D = 18.954/0.027 will give us 702.
The density of the wooden block in the shape of a cube with the given side length and mass is 702kg/m³.
What is the density of the block?
Density is expressed mathematically as;
p = m / v
Where m is mass and v is volume.
Given the data in the question;
Mass of the cube wood block m = 18.954kgside length a = 0.3mDensity p = ?First, we calculate the volume of the cube wood block.
Volume of a cube v = a³
v = ( 0.3m )³
v = 0.027m³
Now, we determine the density.
p = m / v
p = 18.954kg / 0.027m³
p = 702kg/m³
Therefore, the density of the wooden block in the shape of a cube with the given side length and mass is 702kg/m³.
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Use the formula d=rt to find the distance traveled by a car driving at an average speed of 65 miles per hour for 4.5 hours. How far would you travel? A. 144.5 miles B. 292.5 miles C. 325 miles D. 487 miles
B: 292.5; multiply 65x4.5
Using the formula d = rt, the distance traveled by a car moving at 65 miles per hour for 4.5 hours is calculated to be 292.5 miles.
Calculating Distance Traveled
To calculate the distance traveled by a car, we can use the formula d = rt, where d represents distance, r represents average speed (rate), and t represents time.
Given: average speed r = 65 miles/hour, time t = 4.5 hours.
Find: distance d.
We use the formula to solve for d:
d = (65 miles/hour)(4.5 hours) = 292.5 miles
Therefore, the car would travel a distance of 292.5 miles at an average speed of 65 miles per hour over 4.5 hours.
Which situation is represented by the inequality?
5.00 + 1.00r ≤ 16.00
A) Tom wants to attend the town carnival. Suppose he can spend at most $16.00 at the carnival. The price of admission to the carnival is $1.00, and each ride costs an additional $5.00. What is r, the minimum number of rides he can go on?
B) Tom wants to attend the town carnival. Suppose he can spend at most $16.00 at the carnival. The price of admission to the carnival is $5.00, and each ride costs an additional $1.00. What is r, the minimum number of rides he can go on?
C) Tom wants to attend the town carnival. Suppose he can spend at most $16.00 at the carnival. The price of admission to the carnival is $1.00, and each ride costs an additional $5.00. What is r, the maximum number of rides he can go on?
D) Tom wants to attend the town carnival. Suppose he can spend at most $16.00 at the carnival. The price of admission to the carnival is $5.00, and each ride costs an additional $1.00. What is r, the maximum number of rides he can go on?
Answer:
Option D. The maximum number of rides is 11
Step-by-step explanation:
Let
r -----> the number of rides
we have
[tex]5.00+1.00r \leq 16.00[/tex]
Solve for r
[tex]1.00r \leq 16.00-5.00[/tex]
[tex]1.00r \leq 11.00[/tex]
[tex]r \leq 11.00[/tex]
The maximum number of rides is 11
therefore
Tom can spend at most $16.00 at the carnival
The price of admission to the carnival is $5.00
Each ride costs an additional $1.00
The maximum number of rides is 11
Answer:
The answer is D
Step-by-step explanation:
Tom wants to attend the town carnival. Suppose he can spend at most $16.00 at the carnival. The price of admission to the carnival is $5.00, and each ride costs an additional $1.00. What is r, the maximum number of rides he can go on?
The answer to the first question.
Answer:?
Step-by-step explanation: what am I exactly reading it would better help if you typed it.
Answer:
see explanation
Step-by-step explanation:
Given
5x² - 4 - 8x
To find the zeros equate to zero and rearrange into standard form, that is
5x² - 8x - 4 = 0 ← in standard form
To factor the quadratic
Consider the factors of the product of the coefficient of the x² term and the constant term which sum to give the coefficient of the x- term.
product = 5 × - 4 = - 20 and sum = - 8
The factors are - 10 and + 2
Use these factors to split the x- term
5x² - 10x + 2x - 4 = 0 ( factor the first/second and third/fourth terms )
5x(x - 2) + 2(x - 2) = 0 ← factor out (x - 2) from each term
(x - 2)(5x + 2) = 0
Equate each factor to zero and solve for x
x - 2 = 0 ⇒ x = 2
5x + 2 = 0 ⇒ 5x = - 2 ⇒ x = - [tex]\frac{2}{5}[/tex]
-----------------------------------------------------------------------------
The sum of the zeros = - [tex]\frac{b}{a}[/tex]
The product of the zeros = [tex]\frac{c}{a}[/tex]
with a = 5, b = - 8 and c = - 4
The sum = 2 - [tex]\frac{2}{5}[/tex] = [tex]\frac{8}{5}[/tex]
and - [tex]\frac{b}{a}[/tex] = - [tex]\frac{-8}{5}[/tex] = [tex]\frac{8}{5}[/tex]
Thus verified
The product = 2 × - [tex]\frac{2}{5}[/tex] = - [tex]\frac{4}{5}[/tex]
and [tex]\frac{c}{a}[/tex] = [tex]\frac{-4}{5}[/tex] = - [tex]\frac{4}{5}[/tex]
Thus verified
Please explain your answer as well. THX!!
Answer:
option b
6 C 2 + 6
Step-by-step explanation:
Given in the question that,
number of pink beans = 87
number of purple beans = 74
number of white beans = 35
number of black beans = 70
number of orange beans = 25
number of green beans = 47
Step 1if two beans selected are different
6 C 2
(6 colours of beans)
Step 2if two beans selected are same
6 C 1 = 6
(6 colours of beans)
Step 3total sample space will be
6 C 2 + 6
The manger of a large store notices that there are 72 customers waiting to be check out, spread across 9 different check-out lines. Select all of the scenarios that would be proportional to what the manger saw.
72 divided by 9 = 8
Hope I helped
What is the slope of the line described by the data in the table below?
A 2/5
B 2/3
C 5/4
D 5/2
Answer:
D
Step-by-step explanation:
General Equation: y = mx + b
You need two pieces of data to solve this.
When x = 1, y = 8
8 = 1x + b
When x = -1, y = 3
3 = - x + b
==================
8 = x + b
3 = -x + b If we add we get b so let's add.
11 =2b Divide by 2
11/2 = b
==================
y = mx + b
y = mx + 11/2 Now we can solve for m
3 = -m + 11/2 Subtract 11/2
3 - 11/2 = - m
- 2 1/2 = -m multiply by - 1
2 1/2 = m
m = 5/2
The answer is D
The answer to the problem is C
use a percent proportion or equation to answer: 150% of what number is 24
Answer is 36
150 • 24= 3,600
3,600/100= 36
Multiple choice
How many degrees are in angle A?
There are 70 degrees in angle A.
CHORDS AND ARCs: Find the value of x
The answer is probably 14, but I don't know how to prove it correctly, I mean by using the mathematical language. So if it will work, I can try to guess how I got this answer. So if you will draw radiuses, like I did on the screenshot, you will get 2 equal to each other triangles, but the thing is that I have no idea why they should be equal. So if the first step is right the value of x should be equal to 14, as the side below is equal to 14 too. That's it, I guess I helped you at least a little!
The value of x in the chord and arc circle figure is 8[tex]\sqrt{2}[/tex] units.
What is the value of the x in the given circle figure?Given:
The radius of the circle is given as 9 units.The length of one chord is 2*7 = 14 units.Find:
The length of the other chord that is represented by x.Solution:
As it is given that the radius of the circle is 9 units.
So, from here the diameter is 2*9 units = 18 units.
Now, we will draw a line from A to B, we will then Right triangle.
From the right-angled triangle we can calculate the value of x by Pythagoras Theorem, we get;
[tex]x^{2} = (18)^{2} - (14)^{2}[/tex]
[tex]x^{2} = 324 - 196[/tex]
[tex]x^{2} = 128[/tex]
[tex]x = \sqrt{128} = 8\sqrt{2}[/tex]
Hence, the value of x is 8[tex]\sqrt{2}[/tex] units.
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A student has three puzzles each puzzle has 1250 pieces what is the total number of pieces in the puzzle’s
The total number of pieces in the puzzle’s is 3,750 pieces.
What is Unitary Method?The unitary technique involves first determining the value of a single unit, followed by the value of the necessary number of units.
For example, Let's say Ram spends 36 Rs. for a dozen (12) bananas.
12 bananas will set you back 36 Rs. 1 banana costs 36 x 12 = 3 Rupees.
As a result, one banana costs three rupees. Let's say we need to calculate the price of 15 bananas.
This may be done as follows: 15 bananas cost 3 rupees each; 15 units cost 45 rupees.
we have,
3 puzzle having 1250 pieces in each.
So, the total number of pieces are
= 1250 x 3
= 3,750 pieces
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Loretta is rolling an unfair 6 sided die with a single number between 1 and 6 on each face. She has a 70% chance of rolling a four. She is playing a game with a friend and knows that if she rolls a four on three of her next five rolls she will lose the game. She wants to determine the probability that she rolls a four on three of her next five rolls.
Which simulation design has an appropriate device and a correct trial?
A) Using a fair coin let heads represent rolling a four and tails represent not rolling a four. Flip the coin five times.
B) Using a table of random digits select a digit between 0 and 9. Let 0-6 represent rolling a four and 7-9 represent not rolling a four. Select five digits.
C) Roll a fair die with a single digit between 1 and 6 on each face. Let four represent rolling a four and 1-3 and 5 and 6 represent not rolling a four. Roll the die five times.
D) Using a table of random digits select a digit between 1 and 6, ignoring digits 0, 7, 8, and 9. Let 4 represent rolling a four and 1-3 and 5 and 6 represent not rolling a four Select five digits.
Answer:
The answer is option B.
Step-by-step explanation:
Loretta is rolling an unfair 6 sided die with a single number between 1 and 6 on each face and she has a 70% chance of rolling a four.
She is playing a game with a friend and knows that if she rolls a four on three of her next five rolls she will lose the game.
She wants to determine the probability that she rolls a four on three of her next five rolls.
The simulation design that is helpful here is :
B) Using a table of random digits select a digit between 0 and 9. Let 0-6 represent rolling a four and 7-9 represent not rolling a four. Select five digits.