Answer: the height of the pyramid is 6 inch.
Step-by-step explanation:
V=50 inch³ a=5 inch H=?
Formula of volume square pyramid is:
[tex]\boxed {V=\frac{1}{3}*S_{base}*H },[/tex]
where: Sbase - pyramid base area;
H - pyramid height.
Hence,
[tex]H=\frac{3*V}{S_{base}}\\[/tex].
Since the pyramid is square, its base is a square. ⇒
[tex]S_{base}=a^2\\S_{base}=(5\ inch)^2\\S_{base}=25\ inch^2\\H=\frac{3*50}{25} \\H=3*2\\H=6\ (inch).[/tex]
Good luck!
what is the binomials of x^2+5x-36
Answer:
(x+9) and (x-4)
Step-by-step explanation:
can someone help with this?
Answer:
146
Step-by-step explanation:
substitute x = 2, y = 3 into the expression
4(2)³ + 2(2)(3) - 2(3) + 3(2)²(3)²
= 4(8) + 12 - 6 + 3(4)(9)
= 32 + 12 - 6 + 108
= 38 + 108
= 146
Helppp meeeeee pleasseeeeeeeeeee
Answer:
Khan Academy.
Step-by-step explanation:
You can go on khan academy and search up "percentages and numbers." The videos should immediately pop up. there are also lessons if you don't want to risk getting your problem wrong. If you are still confused and do not understand please just comment and I will respond.
2. Try It #2 The population of a small town increased from 1,442 to 1,868 between 2009 and 2012 . Find the change of population per year if we assume the change was constant from 2009 to 2012 .
Answer:
If it is assumed that the change was constant from 2009 and 2012 , then change of population is 142 .
Step-by-step explanation:
In the question, it is given that the population of a small town increased from 1442 to 1868 between 2009 and 2012 .
It is asked to find the change of population if it is assumed that the change was constant from 2009 and 2012 .
Step 1 of 2
Population in 2012 is given to be 1868 and
Population in 2009 is given to be 1442 .
Duration of year is given by 2012-2009 which is 3 years.
Change in population is given by 1868-1442 which is 426 .
Step 2 of 2
Change in population per year is given by dividing the change in population and the duration of years it took to happen the change.
Hence, change in population per year is
[tex]$\frac{426}{3}=142$[/tex]
Hence, the population was changed by 142 per year from 2009 to 2012 .
Multiple choice. A square floor mat has a side length of 22 m.
What is the area of the mat as a power?
A. 222 m²
B. 223 m³
3
C. 22² m²
D. 222 m²
Answer:
C
Step-by-step explanation:
.........................
Answer:
c
Step-by-step explanation:I think the answer might be C. because they have asked for the area and the formulae is side multiply by side.
Given that polygon PQRS≅ polygon LMNO, identify the congruent corresponding part for PQ
(NO GRAPH PROVIDED)
Answer:
LM
Step-by-step explanation:
Usually these problems would already be in order, so since PQ are the first 2 letters of polygon PQRS, then for LMNO, it's LM.
An airplane travels 640 miles from Topeka to Houston in 3.2 hours, going against the wind. The return trip is with the wind, and takes only 2 hours. Find the rate of the airplane with no wind. Find the rate of the wind.
A) The airplane flies at 210 mi/h with no wind. The rate of the wind is 50 mi/h.
B) The airplane flies at 210 mi/h with no wind. The rate of the wind is 60 mi/h.
C)The airplane flies at 260 mi/h with no wind. The rate of the wind is 60 mi/h.
D)The airplane flies at 260 mi/h with no wind. The rate of the wind is 50 mi/h.
The airplane flies at 260 mi/h with no wind, while the rate of the wind is 60 mi/h.
What is an equation?An equation is an expression that shows the relationship between two or more numbers and variables.
Let a represent the rate of the airplane with no wind. and b the rate of the wind, hence:
(a - b)3.2 = 640
a - b = 200 (1)
Also:
(a + b)2 = 640
a + b = 320 (2)
The solution to equation 1 and 2 is:
a = 260, b = 60
The airplane flies at 260 mi/h with no wind, while the rate of the wind is 60 mi/h.
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19912 divided by 76000
Answer:
19912/76000=0.262.000000
Answer:
0.262Step-by-step explanation:
19912 76000
-152000 0.262
471200
-456000
152000
-152000
0
Which graph correctly shows f(x)=x+3 / x^2-4
Step-by-step explanation:
it isnot looking well here so go on geogebra. org/calculator and you will see. have a nice day :))
Answer:
C on Edge 2022
Step-by-step explanation:
Just did it and got it right
Helppppp !!!!
Which of the graphs below shows the solution set of [2,7]
Answer:
B
Step-by-step explanation:
[] means the endpoints are inclusive. Therefore [2,7] is equivalent to 2 <= x <= 7. So [2,7] represents graph B.
Jennifer went to a farm and bought tomatoes
for $2 per pound and garlic for $3 per pound.
If Jennifer spent $72 on tomatoes and garlic,
how many pounds can she buy if she buys
only garlic?
Answer:
24 pounds of garlic
Step-by-step explanation:
if she spends 3$ per pound, you divide 72 by 3. the answer to that is 24, so if she spends 72 dollars on only garlic, she can buy 24 pounds.
Jennifer can buy 24 pounds of garlic
we see here, that if she spends 3$ per pound, you divide 72 by 3.
The answer would be 24, so if she spends 72 dollars on only garlic,
she can buy 24 pounds.
What is a pound defined as?1: any of various units of mass and weight specifically: a unit now in general use among English-speaking peoples equal to 16 avoirdupois ounces or 7000 grains or 0.4536 kilogram — see Weights and Measures Table
2: the basic monetary unit of the United Kingdom.
What is a division example?In maths, a division is a process of splitting a specific amount into equal parts. For example, we can divide a group of 20 members into 4 groups of 5 members each or 5 groups of 4 members each
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Work out
(4 × 10³) – (7 × 10²)
Give your answer in standard for
Answer:
3300
Step-by-step explanation:
This can be worked out using PEMDAS:
First you solve in the PARENTHESIS:
(4 × 10³) – (7 × 10²)
Then, you look at the EXPONENTS:
(4 × 10³) = (4 × 1000)
(7 × 10²) = (7 × 100)
After that, look at the MULTIPLICATION:
(4000) - (700)
Since there is only subtraction left, subtract it:
3300
Answer:
Parenthesis:
4 *1000 = 4000
7*100= 700
4000-700=3300
Step-by-step explanation:
A company has 8 male and 6 female employees, and needs to nominate 2 men and 2 women for the company bowling team. How many different teams can be formed
The team can be formed in 420 different ways
This is a combination problem since we are to select a set of people from a group. Combination has to do with selection.
if r number of objects is to be selected from a pool of n objects, this can be done in nCr number of ways.
[tex]nCr=\frac{n!}{r!(n-r)!}[/tex]
Now If A company has 8 male and 6 female employees, and needs to nominate 2 men and 2 women for the company bowling team, then this can be done in the following way;
[tex]_{8} C_{2}=\frac{8!}{2!6!} =28\\_{6} C_{2}=\frac{6!}{2!4!} =15[/tex]
[tex]_{8} C_{2}*_{6} C_{2}=28*15[/tex]
[tex]=420[/tex] teams
Hence, The team can be formed in 420 different ways
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PLSS HELP geometry it's about relations within triangles. need help solving for variables
Using the definition of congruent triangles, the missing measurements are:
23. m = 7; LO = 14; NO = 14
24. x = 15; m∠QTS = 90°
25. p = 3; IJ = 15; KJ = 15
26. r = 3; UW = 48
27. y = 7; m∠DEF = 50°
28. m = 5; p = 10
What are Congruent Triangles?If two triangles are congruent, then all its corresponding sides and angles are equal.
23. The two triangles are congruent by SAS, therefore:
LO = NO
m + 7 = 2m
7 = 2m - m
7 = m
m = 7
LO = NO = m + 7 = 7 + 7 = 14
LO = 14
NO = 14
24. But triangles are congruent by SSS, therefore:
3x = 5x - 30
3x - 5x = -30
-2x = -30
x = 15
m∠QTS = 2(3x) = 6x = 6(15)
m∠QTS = 90°
25. Both triangles are congruent by ASA, therefore:
4p + 3 = 3p + 6
4p - 3p = -3 + 6
p = 3
IJ = KJ = 4p + 3 = 4(3) + 3 = 15
IJ = 15
KJ = 15
26. The two triangles are congruent by SAS, therefore:
5r + 9 = 8r
9 = 8r - 5r
9 = 3r
9/3 = r
r = 3
UW = 2(8r) = 16r = 16(3)
UW = 48
27. Both triangles are congruent by SSS, therefore:
3y + 4 = 5y - 10
3y - 5y = -4 - 10
-2y = -14
y = 7
m∠DEF = 2(3y + 4) = 6y + 8 = 6(7) + 8
m∠DEF = 50°
28. Both triangles are congruent by SSS, therefore:
2m = 10
m = 10/2
m = 5
2p - 5 = p + 5
2p - p = 5 + 5
p = 10
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11. Find the area of the given figure?
Answer:
9.62 cm²
Step-by-step explanation:
Area of sectordiameter = 7 cm
r = 7 ÷2 = 3.5 cm
Ф = 45°
[tex]\sf \boxed{\text{\bf Area of sector = $\dfrac{\theta}{360}*\pi r^2$}}[/tex]
[tex]\sf =\dfrac{45}{360}*3.14*3.5*3.5\\\\ = 4.81 \ cm^2[/tex]
Area of the given sectors = 2 *4.81
= 9.62 cm²
Hello!
Let's solve this in step
Let's find the circular region to the left of the center:
[tex]Area = \frac{45}{360}*Area_.formuka_.of_.Circle =\\ Area = \frac{45}{360}*\pi (radius)^2\\ Area = \frac{45}{360} *\pi (3.5)^2\\Area=4.81[/tex]
Now let's find the circular region to the right of the center
⇒ the angle 45° by the vertical angle theorem is equal to the angle
opposite it in the other circular region
⇒ has the same area as the left region
Total Area = 4.81 + 4.81 = 9.62 cm²
Answer: 9.62 square centimeters
Hopefully that helps!
Complete the table for the given rule.
Rule: y=\dfrac{1}{4}x+1y=
4
1
x+1y, equals, start fraction, 1, divided by, 4, end fraction, x, plus, 1
xxx yyy
444
888
121212
PLEASE HELP ASAP
The table is
x | 4 | 8 | 12
y | 1 | 2 | 3
The question is not understandable. The well-formatted question is
Complete the table for the given rule
Rule:
[tex]y=\dfrac{1}{4}x[/tex]
Table:
x | 4 | 8 | 12
y | ? | ? | ?
Evaluation of an algebraic expression when a specified integer is used to replace a variable is known as evaluating the expression. We use the provided number to replace the expression's variable before applying the sequence of operations to simplify the expression.
For instance
On evaluation of y= x+7 when x=3, and x=12
we get y(3) = 3 + 7 = 10 and y(12) = 12 + 7 = 19
The given equation is
[tex]y=\dfrac{1}{4}x[/tex]
So, the table is
x | 4 | 8 | 12
y | 1 | 2 | 3
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Answer:
0
12/4
1.75
in that order
what is the positive angle less than 2π that is coterminal with 14π/6
Coterminal angles are angles that are made by the positive x-axis of the coordinate plane. The positive angle that is less than 2π and is coterminal with 14π/6 is 1/3π.
What are coterminal angles?Coterminal angles are angles that are made by the positive x-axis of the coordinate plane.
The angle that 14π/6 makes from the positive x-axis is 1/3π, which is equal to 60°.
Hence, the positive angle that is less than 2π and is coterminal with 14π/6 is 1/3π.
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The graph shows the volume of the ice cubes versus temperatures in degrees Celsius. Which statement is false
The false statement include:
Volume is explanatory variables.Data shows a positive linear relationship.What is a Positive linear relationship?
This relationship between two variables involves them having a positive slope. This means that as volume increases, temperature also increases which isn't the case.
This cause and effect pattern also means that the volume doesn't have explanatory variables.
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Answer:
Volume is the explanatory variable
Step-by-step explanation:
because vanilla is better than chocolate
From the diagram below, given the side lengths marked, and if we know that < C is congruent to < E, we can say that ___.
Select one:
a.
the two triangles are similar by SAS
b.
the two triangles are not similar
c.
the two triangles are congruent
d.
the two triangles are similar by AA
Since we know that <C is congruent to <E, we can say that: A. the two triangles are similar by SAS.
The properties of similar triangles.In Geometry, two triangles are similar when the ratio of their corresponding sides are equal in magnitude and their corresponding angles are congruent.
Ratio = BC/AC = 6/3 = 2.
Ratio = FE/DE = 4/2 = 2.
Thus, the ratio of their corresponding sides are equal in magnitude i.e BC/AC ≡ FE/DE.
Since we know that <C is congruent to <E, we can say that the two triangles are similar by side, angle, side (SAS) criterion.
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For the arithmetic sequence beginning with the terms {11, 17, 23, 29, 35 ...}, what is the sum of the first 17 terms?
a.)
1003
b.)
1116
c.)
896
d.)
1235
Answer:
a.) 1003
Step-by-step explanation:
The formula to find the sum of an arithmetic sequence: Sn = n/2[2a + (n - 1)d], where a is the first term, n is the number of terms and d is the common difference.
1) Let's substitute the values into the formula.
S17 = 17/2[2(11) + (17 - 1)6]
S17 = 17/2[22 + (16)6]
S17 = 17/2[22 + 96]
S17 = 17/2[118]
S17 = 17/2 × 118
S17 = 1003
Therefore, the sum of the first 17 terms of this arithmetic sequence is 1003 (a).
What is the simplified form of i^15 ?
PLEASE HELP ASAP THANK YOU!!
Answer:
Second graph
Step-by-step explanation:
See attached image.
Find dy/dx by implicit differentiation.
(sin pix + cos piy)^8 = 17
dy/dx =
please help quickly
dy/dx by implicit differentiation is cos(πx)/sin(πy)
How to find dy/dx by implicit differentiation?Since we have the equation
(sin(πx) + cos(πy)⁸ = 17, to find dy/dx, we differentiate implicitly.
So, [(sin(πx) + cos(πy)⁸ = 17]
d[(sin(πx) + cos(πy)⁸]/dx = d17/dx
d[(sin(πx) + cos(πy)⁸]/dx = 0
Let sin(πx) + cos(πy) = u
So, du⁸/dx = 0
du⁸/du × du/dx = 0
Since,
du⁸/du = 8u⁷ and du/dx = d[sin(πx) + cos(πy)]/dx= dsin(πx)/dx + dcos(πy)/dx
= dsin(πx)/dx + (dcos(πy)/dy × dy/dx)
= πcos(πx) - πsin(πy) × dy/dx
So, du⁸/dx = 0
du⁸/du × du/dx = 0
8u⁷ × [ πcos(πx) - πsin(πy) × dy/dx] = 0
8[(sin(πx) + cos(πy)]⁷ × (πcos(πx) - πsin(πy) × dy/dx) = 0
Since 8[(sin(πx) + cos(πy)]⁷ ≠ 0
(πcos(πx) - πsin(πy) × dy/dx) = 0
πcos(πx) = πsin(πy) × dy/dx
dy/dx = πcos(πx)/πsin(πy)
dy/dx = cos(πx)/sin(πy)
So, dy/dx by implicit differentiation is cos(πx)/sin(πy)
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the missing side of the triangle
Answer:
x = √95Step-by-step explanation:
from the sign on the picture it is a rigth triangle
we use pythagoras
x² = 12² - 7²
x² = 144 - 49
x² = 95
x = √95
(x = 9.75)
Answer:
x = [tex]\sqrt{95}[/tex]
Step-by-step explanation:
In this problem, we need to use the Pythagorean theorem.
Pythagorean theorem is a theorem where you can find a side length in a right triangle.
The hypotenuse (The longest side) squared equals the other two side lengths added together after being squared.
In numbers, this will be: (12)^2 = (7)^2 + (x)^2.
144 = 49 + x^2.
95 = x^2
x = [tex]\sqrt{95}[/tex]
We cannot simplify [tex]\sqrt{95}[/tex], so that is the final answer.
Use the difference between -2 and 5 to find the distance. The distance is
Answer:
It must be probably √29
Step-by-step explanation:
[tex]distance = \sqrt{ { (- 4)}^{2} + {(5)}^{2} } [/tex]
hope it to be the correct...
KM=
Help me asap pleasee
Answer: 3
Step-by-step explanation:
By the intersecting chords theorem,
[tex](KM)(16)=(4)(12)\\\\KM=3[/tex]
John spent 30 minutes developing an estimate for a job. The job itself took 2 hours, 45 minutes to
complete. What is the ratio of the time spent on the job estimate to the total time spent (including the time
spent calculating the estimate) on this job?
Answer:
Ratio is 11 : 13
Step-by-step explanation:
We are given;
Time to develop estimate = 30 minutes
Time to do the job = 2 hours 45 minutes = (2 * 60) + 45 = 165 minutes
Total time to develop and do job = 165 + 30 = 195 minutes
Thus;
Ratio of time spent on job to total time = 165 : 195
Whrn this is broken further, we have; 11 : 13
Celo used the simple interest formula uppercase a = uppercase p (1 r t) to calculate the interest he earned on his savings last month. which equation is equivalent to the simple interest formula?
The equation which is equivalent to the given simple interest formula is
[tex]P=\frac{A}{1+rt}[/tex].
What is an equivalent equation?
Equivalent equations are algebraic equations that have identical solutions.
According to the given question.
We have a simple interest formula.
[tex]A=P(1+rt)[/tex]
Now, the equivalent equation for the above formula can be given as
[tex]A=P(1+rt)[/tex]
⇒[tex]P=\frac{A}{1+rt}[/tex]
Hence, the equation which is equivalent to the given simple interest formula is [tex]P=\frac{A}{1+rt}[/tex].
Thus, option A is correct.
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Towns A,B,C, and D
are located as shown in the accompanying figure. Two highways link Town A to Town D. Route 1 runs from Town A to Town D via Town B
, and Route 2 runs from Town A to Town D via Town C. If a salesman wishes to drive from Town A to Town D and traffic conditions are such that he could expect to average the same speed on either route, which highway should he take to arrive in the shortest time?
If the salesman chooses highway route 1 he will arrive in the shortest time because the distance in route 1 is less than the distance in route 2.
What is a distance formula?It is defined as the formula for finding the distance between two points. It has given the shortest path distance between two points.
The distance formula can be given as:
[tex]\rm d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]
The question is incomplete.
The complete question is in the picture, please refer to the attached picture.
Route 1:
The distance between A and D
Distance of AB:
[tex]\rm AB=\sqrt{(400-0)^2+(300-0)^2}[/tex]
AB = 500 mi
Distance between BD:
[tex]\rm BD=\sqrt{(1300-400)^2+(1500-300)^2}[/tex]
BD = 1500 mi
In route 1 the distance traveled by salesman:
AD = 500 + 1500 = 2000 mi
Route 2:
[tex]\rm AC=\sqrt{(800-0)^2+(1500-0)^2}[/tex]
AC = 1700 mi
[tex]\rm CD=\sqrt{(1300-800)^2+(1500-1500)^2}[/tex]
CD = 500 mi
AD(through C) = 1700 + 500 = 2200 mi
Thus, if the salesman chooses highway route 1 he will arrive in the shortest time because the distance in route 1 is less than the distance in route 2.
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Which expression is equivalent to the given expression?
Answer:
The third option.
Step-by-step explanation:
[tex](\frac{4xy^3}{x^2})^2\\\\=(\frac{4y^3}{x})^2\\\\=\frac{16y^6}{x^2}[/tex]
Hence the 3rd option.