Answer:
[tex]2cm[/tex]
Step-by-step explanation:
Volume of a cone= [tex]\pi r^2\frac{h}{3}[/tex]
Substitute: [tex]37.68cm^3=\pi r^2(\frac{9}{3})[/tex]
[tex]37.68cm^3=\pi r^2(3)[/tex]
[tex]37.68cm^3=\pi r^2(3)[/tex] Divide by 3
[tex]12.56cm=\pi r^2[/tex] Divide by pi
[tex]4cm=r^2[/tex]
[tex]r=\sqrt{4}[/tex]
[tex]r=2[/tex]
The point S is on the line AB so that lengths AS:SB are in the ration 3:2. If A = (21,3) and B = (6, 33) then find the co ordinate of S
From the section formula, it was found that the coordinate for the point S is (12,21).
Section Formula
The coordinates of the point S which divides the line AB into two sections can be found from the application of the Section Formula that is presented below:
[tex]S=(\frac{mx_2+nx_1}{m+n}, \frac{my_2+ny_1}{m+n})[/tex], where
[tex]ratio=\frac{m}{n}[/tex]
[tex]x_1[/tex] and [tex]y_1[/tex] are coordinates of A
[tex]x_2[/tex] and [tex]y_2[/tex] are coordinates of B
Find the point SThe question gives r=[tex]\frac{3}{2}[/tex], A=(21,3) and B=(6,33). From the ratio, you can find m=3 and n=2.
Next step, applying the internal section formula. Then, you have:
[tex]S=(\frac{3*6+2*21}{3+2}, \frac{3*33+2*3}{3+2})\\ \\ S=(\frac{18+42}{5}, \frac{99+6}{5})\\ \\ S=(\frac{60}{5}, \frac{105}{5})\\ \\ S=(12, 21)[/tex]
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g(x)= -2/× + p + q
what are values of p and q?
[tex]q = \frac{gx {}^{2} - px + 2}{x} \\ [/tex]
[tex]p= \frac{gx {}^{2} - qx + 2}{x} [/tex]
GIVING BRAINLIEST!!!!!
Answer:
7x+2y=18
The first one
Step-by-step explanation:
The equation to be perpendicular switches they numbers before the x and y. Also plugging into a graphing calculator like desmos will show you
that
can someone help me plss ill mark brainliest
Answer: x^44y^16z^44
Step-by-step explanation:
Match the attributes to each three-dimensional shape that has the cross-section described.
Only consider cross-sections with whole number dimensions parallel to a side of one of the prisms or the base of the pyramid.
Quadrilateral A:
area of
16 square inches
Quadrilateral B:
perimeter of
24 inches
Quadrilateral C:
perimeter of
16 inches
The attributes to each three-dimensional shape that has the cross-section is 4,16 and 4.
What is a quadrilateral and parallelogram?Any closed figure made by 4 line segments joined end to end in series is called a quadrilateral.
That quadrilateral in which opposite sides are parallel is called a parallelogram.
Thus, a parallelogram is always a quadrilateral but a quadrilateral can or cannot be a parallelogram.
Given;
Quadrilateral A: area of 16 square inches
Quadrilateral B: perimeter of 24 inches
Quadrilateral C: perimeter of 16 inches
Now,
Quadrilateral A:
a^2=16
a=4
Quadrilateral B;
4a=24
a=6
Quadrilateral C:
4a=16
a=4
Therefore, the answers of quadrilaterals will be 4,6 and 4.
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If someone can answer all these ill give 100 points
Answer:
1. x = -6
2. x = 2
3. x = 6
4. x = 3
5. x = -5
6. x = -1
7. x = 0
8. x = 9
9. x = -4
10. x = 7
Step-by-step explanation:
1.
[tex]-10x = -8x + 12[/tex] [tex]-10x+8x=-8x+12+8x[/tex] [tex]-2x=12[/tex] [tex]-2x/-2=12/-2[/tex] [tex]x=-6[/tex]2.
[tex]9-5x+x=1-x+x[/tex] [tex]-4x+9=1[/tex] [tex]-4x+9-9=1-9[/tex] [tex]-4x=-8[/tex] [tex]-4x/-4=-8/-4[/tex] [tex]x=2[/tex]3.
[tex]-2x+16-x=x-2-x[/tex] [tex]-3x+16=-2[/tex] [tex]-3x+16-16=-2-16[/tex] [tex]-3x=-18[/tex] [tex]-3x/3=-18/-3[/tex] [tex]x = 6[/tex]4.
[tex](-4)(6x)+(-4)(-2)= -8x-40[/tex] [tex]-24x+8=-8x-40[/tex] [tex]-24x+8+8x=-8x-40[/tex] [tex]-16x+8=-40[/tex] [tex]-16x+8-8=-40-8[/tex] [tex]-16x=-48[/tex] [tex]-16x/-16=-48/-16[/tex] [tex]x=3[/tex]5.
[tex]37 - 8x = (-7)(x)+(-7)(-6)[/tex] [tex]-8x+37=-7x+42[/tex] [tex]-8x + 37 + 7x = -7x + 42 + 7x[/tex] [tex]-x+37=42[/tex] [tex]-x+37-37=42-37[/tex] [tex]-x=5[/tex] [tex]-x/-1=5/-1[/tex] [tex]x=-5[/tex]6.
[tex]6x+(-2)(2)+(-2)(8x) = 10 + 4x[/tex] [tex]6x-4-16x = 10 + 4x[/tex] [tex]-10x - 4 = 4x + 10[/tex] [tex]-10x - 4 -4x=4x+10-4x[/tex] [tex]-14x-4=10[/tex] [tex]-14x-4+4=10+4[/tex] [tex]-14x=14[/tex] [tex]-14x/-14=14/-14[/tex] [tex]x=-1[/tex]7.
[tex](-2)(x) + (-2)(1) = (2)(x) + (2)(-1)[/tex] [tex]-2x-2=2x-2[/tex] [tex]-2x-2-2x = 2x - 2 - 2x[/tex] [tex]-4x - 2 = -2[/tex] [tex]-4x-2+2=-2+2[/tex] [tex]-4x=0[/tex] [tex]-4x/-4=0/-4[/tex] [tex]x=0[/tex]8.
[tex](-3)(x)+(-3)(3)=(-6)(x)+(-6)(-3)[/tex] [tex]-3x-9=-6x+18[/tex][tex]-3x-9+6x=-6x+18+6x[/tex] [tex]3x-9=18[/tex] [tex]3x-9+9=18+9[/tex] [tex]3x=27[/tex] [tex]3x/3 = 27/3[/tex] [tex]x=9[/tex]9.
[tex]6x-36=(-4)(-2x)+(-4)(7)[/tex] [tex]6x-36= 8x -28[/tex] [tex]6x-36-8x = 8x - 28 - 8x[/tex] [tex]-2x-36=-28[/tex] [tex]-2x-36+36=-28+36[/tex] [tex]-2x = 8[/tex] [tex]-2x/-2=8/-2[/tex] [tex]x=-4[/tex]10.
[tex](2)(x)+(2)(1) = -2x + 30[/tex] [tex]2x+2=-2x+30[/tex] [tex]2x+2+2x=-2x+30+2x[/tex] [tex]4x+2=30[/tex] [tex]4x+2-2=30-2[/tex] [tex]4x=28[/tex] [tex]4x/4=28/4[/tex] [tex]x=7[/tex]
6. The three side lengths of a triangle are given. Which triangle is a right triangle?
A. Triangle 1: 13, 6, 7
B. Triangle 2: 7, 8, 13
C. Triangle 3: 10, 11, 12
D. Triangle 4: 10, 9,8
PLEASE HELP ME I WILL MAKE YOU BRAINLIST!!!!
Answer:
I worked it out and got C as my answer
Which THREE statements would produce the truth value F when pis true and q is false?
The THREE statements that would produce the truth value F when p is true and q is false are (a) p → q (b) ¬ p ∧ ¬ q (d) q ∨ ¬ p
How to determine the statements with a false truth value?To do this, we simply analyze each option
The given parameters are:
p = true
q = false
(a) p → q
This means that:
If p then q
So, we have:
If true then false
The above statement would return false.
(b) ¬ p ∧ ¬ q
This means that:
If not p and not q
So, we have:
If not true and not false
i.e.
If false and true
The above statement would return false.
(c) p → ¬ q
This means that:
If p then not q
So, we have:
If true then not false
i.e.
If true then true
The above statement would return true.
(d) q ∨ ¬ p
This means that:
If q and not p
So, we have:
If false and not true
i.e.
If false and false
The above statement would return false.
Hence, the THREE statements that would produce the truth value F when p is true and q is false are (a) p → q (b) ¬ p ∧ ¬ q (d) q ∨ ¬ p
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Alexandra volunteers on the weekend at the Central Library. As a school project, she decides to record how many people visit the library, and where they go. On Saturday, 473 people went to The Youth Wing, 300 people went to Social Issues, and 402 went to Fiction and Literature.
On Sunday, the library had 1500 total visitors. Based on what Alexandra had recorded on Saturday, about how many people should be expected to go to Social Issues? Round your answer to the nearest whole number.
Answer:
pls that's the answer to the question. thanks.
Which summation formula represents the series below?
1 + 2 + 6 + 24
Answer:
First one is the answer of the question u asked
Answer:
Option a: ∑⁵(n−1)! is the correct answer.
n=²
Step-by-step explanation:
Option a: ∑n=25(n−1)
By substituting the values of n and expanding the summation, we have,
(2−1)!+(3−1)!+(4−1)!+(5−1)!
Subtracting, we have,
1!+2!+3!+4!
Expanding the factorial,
1+(2∗1)+(3∗2∗1)+(4∗3∗2∗1)
Simplifying, we get,
1+2+6+24
Thus, the summation ∑⁵ (n−1)! represents the
n=2
series 1+2+6+24
Hence, Option a is the correct answer.
Find the area of the green triangle
Answer:
16 ft^2
Step-by-step explanation:
The area of a triangle is calculated by multiplying its height and base then dividing it by 2
Height of this triangle is given as 4ft
the base is 8ft
4*8/2 = 16 the area is given is square units so the answer is 16 ft^2
Solve the following literal equation for y 16=2y-4x
Answer:
y=2x+8
Step-by-step explanation:
Move 4x to other side and divide everything by 2
factor by grouping
NEED HELP ASAP
# after letters are the exponent
1: 28v+16v2-21v-12
2: 49x3-35x2+56x-40
3: 24r3-64r2-21r+56
Answer and step-by-step explanation:
[tex]28v^3 +16v^2-21v-12 =[/tex] collecting [tex]4v^2[/tex] in the first two terms and [tex]-3[/tex] in the last two:
[tex]4v^2(7v+4)-3(7v+4) =[/tex] collecting the bracket
[tex](7v+4)(4v^2-3)[/tex]
Bonus stage: if you are factoring over the real numbers and not over the rational, the second brackets is a difference of squares. Else, you stop here.
[tex](7v+4)(2v+\sqrt3)(2v-\sqrt3)[/tex]
NEXT!
[tex]49x^3-35x^2+56x-40=[/tex]As before, [tex]7x^2[/tex]in the first two, and [tex]8[/tex] in the last two:
[tex]7x^2(7x-5)-8(7x-5)[/tex] collecting the bracket again
[tex](7x-5)(7x^2-8) =[/tex]again, bonus step
[tex](7x-5)(\sqrt7 x +2\sqrt2) (\sqrt7x-2\sqrt2)[/tex]
FINALLY!
[tex]24r^3-64r^2-21r+56 =\\8r^2(3r-8) -7(3r-8)=\\(3r-8)(8r^2-7) =[/tex]Again, bonus step
[tex](3r-8)(2\sqrt2r+\sqrt7)(2\sqrt2r-\sqrt7)[/tex]
Since usually most courses talk about factorization of polynomials BEFORE talking about real numbers, I would stop at the third stage, skipping the fourth.
Which is a stretch of an exponential decay function? f(x) = one-fifth (one-fifth) superscript x f(x) = one-fifth(5)x f(x) = 5one-fifth f(x) = 5(5)x
The exponential function that represents a stretch of a decay function is given as follows:
[tex]f(x) = \frac{5}{4}\left(\frac{4}{5}\right)^x[/tex]
What is an exponential function?An exponential function is modeled by:
[tex]y = ab^x[/tex].
In which:
a is the initial value.b is the rate of change.It represents a stretch if a > 1, and a decay function if b < 1. Researching the problem on the internet, the correct option is given as follows:
[tex]f(x) = \frac{5}{4}\left(\frac{4}{5}\right)^x[/tex]
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Answer:
the answer is C :)
Step-by-step explanation:
When two numbers are not equal, an ___ is a sentence that uses the symbols >, <, ≥, ≤, or ≠ to show a relationship.
Answer:
Inequality
Step-by-step explanation:
Inequality is show a comparison between the two quantities which are unequal.
It can be represented:
≤ ⇒ less than or equal to
< ⇒ less than
≠ ⇒ not equal to
> ⇒ greater than
≥ greater than or equal to
Kavinsky
The graph below represents the solution set of which inequality?
-5 4 -3 -2 -1 0 1 2 3 4 5
Х
O x2 - 2x -8 < 0
O x2 + 2x -8 < 0
O x2 - 2x - 8>0
O x2 + 2x - 8>0
Answer:
it's x^2+2x-8
Step-by-step explanation:
-4<x<2. I don't know how to explain since I'm not good at English
Help pls!!!!!!
A family sized box of cereal with dimensions 3x9x12 inches costs $6, while the regular size with dimensions 2x8x9 inches costs $4.50. What is the difference in price per cubic inch?
Answer:
$0.01
Step-by-step explanation:
Family size rate (per cubic inch)
Volume of box = 3 x 9 x 12 = 324 in³Cost = $6Rate = 6/324 = 1/54 = $0.02 per cubic inchRegular size rate
Volume of box = 2 x 8 x 9 = 144 in³Cost = $4.50Rate = 4.50/144 = 1/32 = $0.03 per cubic inchDifference in price
$0.03 - $0.02$0.01Volume of family sized box
LBH3(9)(12)27(12)324in³Price per inch
6/324=0.02$/inVolume of regular size
2(8)(9)144in³Price per in
4.5/144=0.03$/inDifference:-
|0.02-0.03|=0.01$
6. You buy a car in 2018 for $12,000. The car depreciates at a rate of 20% annually. What is tha
car worth today?
Answer:
$4,915.2
Step-by-step explanation:
2018 = $12,0002019 = 9,600(20% of 12,000 = 2,400 | 12,000 - 2,400 = 9,600)
2020 = 7,680(20% of 9,600 = 1,920 | 9,600 - 1,920 = 7,680)
2021 = 6,144(20% of 7,680 = 1,536 | 7,680 - 1536 = 6,144)
2022 = $4,915.2(20% out if 6,144 = 1,228.8 | 6,144 - 1,228.8 = 4,915.2)
Given the angle 25°, determine its suppementary angle
Answer: 155°
Step-by-step explanation:
The supplement of 25° is the angle that when added to 25° forms a straight angle (180°).
180°−25°
Subtract 25 from 180.
155°
Hope this helps!
find arc JK
BRAINLIEST,POINTS,THANKS AND RATING GIVEN!!!
someone help me find r please!
Answer:
4
Step-by-step explanation:
help with practice problem
Answer:
-5<x<-3
Step-by-step explanation:
Hope this helps! ;-)
A container is shaped like a triangular prism. The height of the container is 15 centimeters, and the volume of the container is 180 cubic centimeters. What is the area of the base of the container in square centimeters?
a. 10 cm2
b. 12 cm2
c. 18 cm2
d. 20 cm2
7(7-2 × 3) = ?
What is the answer?
A. 24
B. 7
C. 14
D. 26
Answer:
b) 7 option B 7 is the answer
Step-by-step explanation:
bidmas rule:
7-2×3
2×3= 6
7-6=1
7×1= 7
therefore the answer is 7.
Answer: The answer is [tex]B. 7[/tex]
Step-by-step explanation:
[tex]7(7-2[/tex] × [tex]3)[/tex]
Simplify the expression.
[tex]7-2= 5[/tex]
[tex]7[/tex] × [tex]3[/tex] = [tex]21[/tex]
[tex]21[/tex] ÷ [tex]3=7[/tex]
In the circle below, stack A D with bar on top is a diameter and stack A B with left right arrow on top is tangent at A. Suppose m stack A D C with overparenthesis on top equals 224 degree.
Find the measures of m angle C A B and m angle C A D. Type your numerical answers (without units) in each blank.
m angle C A B =
64
degree
m angle C A D =
26
degree
A circle with a diameter labeled A D, chord A C. A line tangent to the circle at E and that goes through point B on the outside of the circle.
The measure of angle ∠CAB will be 68 degrees and the measure of angle ∠CAD will be 22 degrees.
What is a circle?It is the center of an equidistant point drawn from the center. The radius of a circle is the distance between the center and the circumference.
In the circle below, stack AD with a bar on top is diameter and stack AB with a left-right arrow on top is tangent at A. Suppose m stack ADC with over parenthesis on top equals 224 degrees.
Then the measures of m angle ∠CAB and m angle ∠CAD will be
Then we have
We know that
mADC = mAD + mDC
224° = 180° + mDC
mDC = 44°
Then we know the theorem, A chord's degree in the centre is double that of the chord's degree at the perimeter. Then we have
2 ∠CAD = 44°
∠CAD = 22°
Then the angle ∠CAB and angle ∠CAD are complementary angles. Then we have
∠CAB + ∠CAD = 90°
∠CAB + 22° = 90°
∠CAB = 68°
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approximately, how much air would be needed to fill a soccer ball with a radius of 15 centimeters ?
Answer:
about 2827cm^3
Step-by-step explanation:
you are looking for the area
4*pi*r^2
4*pi*15^15
pi*4*225
pi*900
2827.43
what is x? 6(x+4)+3x-2
11z-6=16, then z=
First answer get to be brainliest!
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[tex]\diamond\large\blue\textsf{\textbf{\underline{\underline{Given question:-}}}}[/tex]
11z-6=16, what is z?
[tex]\diamond\large\blue\textsf{\textbf{\underline{\underline{Answer and how to solve:-}}}}[/tex]
We need to make sure that all variables are on the left-hand side and the numbers are on the right-hand side.
Since we have a number on the left-hand side, we need to move it to the right-hand side with the opposite operation:-
11z=16+6
[tex]\it{11z=22}[/tex]
Divide by 11 on both sides:-
[tex]\it{z=2}[/tex]
We can check our solution by replacing z with 2 and seeing whether or not we end up with a true statement:-
[tex]\it{11(2)-6=16}[/tex]
[tex]\it{22-6=16}[/tex]
[tex]\it{16=16}[/tex]
So we conclude that our solution, z=2, is correct.
Good luck with your studies.- - - - - - - - - - - - - - - - - - - - - - - - - - - - - -
Answer:
z=2
Step-by-step explanation:
11(2)-6=16
22-6=16
15. Federico necesita resolver el problema de encontrar la medida x, en centímetros, del lado del cuadrado de
la figura.
Sabe que el área total de la figura es 45 centímetros cuadrados y determina que el problema se puede
resolver utilizando la ecuación
8x
2
= 45
Las soluciones correctas de esta ecuación son x = -9 y x = 5. Para resolver el problema inicial, de las dos
soluciones de la ecuación, Federico debe presentar como respuesta
A. -9, porque nueve es el único cuadrado perfecto en las soluciones.
B.
C.
las dos, porque al ser soluciones de la ecuación lo son del problema.
ninguna, porque la ecuación no corresponde al problema.
D. 5, porque el lado del cuadrado debe ser un valor positivo.
Al encontrar la medida x del lado del cuadrado, Federico debe presentar como solución igual a 5, ya que el lado del cuadrado debe ser un valor positivo.
¿Cómo calcular el área del cuadrado?Como el cuadrado es una figura geométrica que tiene lados iguales, para realizar el cálculo, debemos tomar la medida de uno de los lados y elevarlo al cuadrado. El cálculo se puede realizar mediante la siguiente fórmula:
A = L²Por lo tanto, la geometría plana se usa para calcular las medidas precisas de la habitación en relación con su área, longitud y altura.
La respuesta correcta es la opción D.
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