Answer:
120 ft ^2
Step-by-step explanation:
Volume= lwh
Volume= 16(3)(2 1/2)
Volume= 120 ft^2
Answer: 120
Step-by-step explanation: 16 x 3 x 2.5 = 120
What is the probability of rolling a die 6 times and getting the numbers 1, 2, 3, 4, 5, 6 in that order? Select the best answer from the choices provided.
A. 0.001389
B. 0.000129
C. 0.000021
D. 0.0000038
Answer:
C. 0.000021
Step-by-step explanation:
Each roll of the die is an independent event.
The probability of rolling a 1, then a 2, then a 3, then a 4, then a 5, then a 6 is the product of the 6 individual probabilities.
Probability of rolling a 1:
There are 6 possible outcomes, rolling 1, 2, 3, 4, 5, or 6.
There is one desired outcome, rolling a 1.
p(1) = 1/6
Probability of rolling a 2:
Similar to rolling a 1, there is 1 desired outcome,rolling a 2, out of 6 possible outcomes.
p(2) = 1/6
The same is true for rolling a 3, 4, 5, or 6. Each one has a probability of 1/6.
p(1, 2, 3, 4, 5, 6, in that order) = p(1) * p(2) * p(3) * p(4) * p(5) * p(6)
= (1/6)^6
= 1/6 * 1/6 * 1/6 * 1/6 * 1/6 * 1/6
= 1/46,656
= 0.000021433
Answer: C. 0.000021
The probability of not choosing a black shirt is...? please explain!
Answer:
80% or 8/10.
Step-by-step explanation:
Assuming the shirts in the bottom right are the "black" shirts, there is ten total shirts (1 red, 4 blue, 2 green, 1 white, 2 black.) Out of the ten shirts, 8 are not black. This means that there is an 80% chance that you will select a shirt that is NOT black.
Which of the following shows the correct simplification assuming the denominator is not equal to zero?
Answer:
[tex]=\frac{3x+2}{x\left(x+1\right)}[/tex]
or
[tex]\frac{(3x+2)}{x^2+x}[/tex]
Step-by-step explanation:
[tex]\frac{2}{x}+\frac{1}{x+1}\\\mathrm{Least\:Common\:Multiplier\:of\:}x,\:x+1:\quad x\left(x+1\right)\\Adjust\:Fractions\:based\:on\:the\:LCM\\Multiply\:each\:numerator\:by\:the\:same\:amount\:needed\:to\:multiply\:its\\\mathrm{corresponding\:denominator\:to\:turn\:it\:into\:the\:LCM}\:x\left(x+1\right)\\\mathrm{For}\:\frac{2}{x}:\:\mathrm{multiply\:the\:denominator\:and\:numerator\:by\:}\:x+1\\\frac{2}{x}=\frac{2\left(x+1\right)}{x\left(x+1\right)}\\[/tex]
[tex]\mathrm{For}\:\frac{1}{x+1}:\:\mathrm{multiply\:the\:denominator\:and\:numerator\:by\:}\:x\\\frac{1}{x+1}=\frac{1\cdot \:x}{\left(x+1\right)x}=\frac{x}{x\left(x+1\right)}\\=\frac{2\left(x+1\right)}{x\left(x+1\right)}+\frac{x}{x\left(x+1\right)}\\\mathrm{Since\:the\:denominators\:are\:equal,\:combine\:the\:fractions}:\quad \frac{a}{c}\pm \frac{b}{c}=\frac{a\pm \:b}{c}\\=\frac{2\left(x+1\right)+x}{x\left(x+1\right)}\\[/tex]
[tex]\mathrm{Expand}\:2\left(x+1\right)+x:\quad 3x+2\\2\left(x+1\right)+x\\\mathrm{Apply\:the\:distributive\:law}:\quad \:a\left(b+c\right)=ab+ac\\a=2,\:b=x,\:c=1\\=2x+2\cdot \:1\\\mathrm{Multiply\:the\:numbers:}\:2\cdot \:1=2\\=2x+2\\\mathrm{Simplify}\:2x+2+x:\quad 3x+2\\2x+2+x\\\mathrm{Group\:like\:terms}\\=2x+x+2\\\\mathrm{Add\:similar\:elements:}\:2x+x=3x\\=3x+2\\=\frac{3x+2}{x\left(x+1\right)}[/tex]
Your drawer contains seven red socks and five green socks. It's too dark to see which are which. What is the
probability that the two socks that you pick are both red if you don't replace the first sock after you draw it?
7/24
7/12
7/15
14/35
Answer:
7/22
Step-by-step explanation:
Probability of picking a red sock the first time: 7/12
Probability of picking a red sock the second time: 6/11 (Since you already took out one sock, thus decreasing both the number of red and total socks in the drawer.)
7/12 * 6/11 = 42/132
42/132 = 7/22
Select the equivalent expression.
(2^-4 x z^-3)^5 =
Choose 1 answer:
Answer:
A
Step-by-step explanation:
[tex](2^{-4}z^{-3})^{5}[/tex]
several ways to approach this.
use power rule. [tex](a^{m} )^{n} = a^{mn}[/tex]
[tex](2^{(-4*5)}z^{(-3*5)} )[/tex]
[tex](2^{-20} z^{-15} )[/tex]
RULE: [tex]x^{-1} = \frac{1}{x}[/tex]
[tex]\frac{1}{(2^{20}z^{15}) }[/tex]
Which points could be on the line that is parallel to Line G H and passes through point J? Check all that apply. (–3, 5) (1, 5) (3, −2) (3, 2) (5, 1)
Answer: (-3,5),(3,2),(5,1)
Step-by-step explanation:
Answer:
ade
Step-by-step explanation:
Does 10 24 26 make a right triangle
Answer:
Yes
Step-by-step explanation:
Answer:
no
Step-by-step explanation:
i can only assume you mean degrees, you worded it strangely, but they add to 60 degrees and a right triangle is 90
A person standing on level ground is 2000 feet away from the foot of a 420-foot-tall building, as shown in the accompanying diagram. To the nearest degree, what is the value of X?
Answer:
12
Step-by-step explanation:
The formula for the tangent of an angle is the length of the opposite side divided by the length of the adjacent side. Therefore, the tangent of angle x is 420/2000=0.21. Taking the arctangent of that to get the angle, you get about 12 degrees. Hope this helps!
Complete the point slope equation of the line through (1,3) and (5,1)
Answer:
Step-by-step explanation:
(1-3)/(5-1)= -2/4= -1/2
y - 3 = -1/2(x - 1)
y - 3 = (-1/2)x + 1/2
y - 6/2 = (-1/2)x + 1/2
y = (-1/2)x + 7/2
The ordered pair below is a solution to which equation?
(5,40)
Answer:
y = 8x
Step-by-step explanation:
a y = 8x
40 = 8*5
40 = 40
This is a solution
Use the distance formula to write an equation of the parabola with focus F(0, -13) and directrix y=13
y=?
(FINALEXAM)
Answer:
-1/52 x^2
Step-by-step explanation:
4p(y-k)=(x-h)^2
4(-13)y=x^2
-52y=x^2
y=-1/52 x^2
Solve.
-6x^2 - 2 - 3x=-8
a)x=5+√57÷16
b)x=-4+√34÷3
c)x=-7+3√41÷16
d)x=1+√17÷-4
Answer:
So the d) is right.
Step-by-step explanation:
we have:
-6x^2 - 2 - 3x=-8
6x^2 + 3x - 6 =0
The delta = 3^2 -4*6*(-6) = 9 + 144 = 153= 9*17
These 2 solutions are:
[tex]x_{1} =\frac{-3+3\sqrt{17} }{2*6} = \frac{-3+3\sqrt{17} }{12} =\frac{-1+\sqrt{17} }{4} \\x_{2} =\frac{-3-3\sqrt{17} }{2*6} = \frac{-3-3\sqrt{17} }{12} =\frac{-1-\sqrt{17} }{4}[/tex]
So the d) is right.
Find the solutions for a triangle with a = 16, c =12, and B = 63º.
a. A = 71.6°; C = 52.89; b =12.0
C. A = 68.6° C = 45.40; b=12.0
b. A = 71.6°; C = 45.40; b =15.0
d. A = 68.6°; C = 52.89; b=15.0
Answer:
b. A = 71.6°; C = 45.40°; b =15.0
Step-by-step explanation:
The missing values can be found with the help of the Law of Cosine and properties of triangles:
Side b (Law of Cosine)
[tex]b = \sqrt{a^{2}+c^{2}-2\cdot a \cdot c \cdot \cos B}[/tex]
[tex]b = \sqrt{16^{2}+12^{2}-2\cdot (16)\cdot (12) \cdot \cos 63^{\circ}}[/tex]
[tex]b \approx 15.022[/tex]
Angle A (Law of Cosine)
[tex]\cos A = -\frac{a^{2} - b^{2}-c^{2}}{2\cdot b \cdot c}[/tex]
[tex]\cos A = - \frac{16^{2}-15.022^{2}-12^{2}}{2\cdot (15.022)\cdot (12)}[/tex]
[tex]\cos A = 0.315[/tex]
[tex]A= \cos^{-1} 0.315[/tex]
[tex]A \approx 71.639^{\circ}[/tex]
Angle C (Sum of internal angles in triangles)
[tex]C = 180^{\circ} - 63^{\circ} - 71.639^{\circ}[/tex]
[tex]C = 45.361^{\circ}[/tex]
Hence, the right answer is B.
Mariana picked x apples at an orchard. She and her friends ate 6 of them, leaving 36 apples.
The number of apples can be represented by the equation 2 – 6 = 36. Plot a point on the
number line to represent x, the number of apples Mariana picked.
39
40
43
41
42.
44
36
37
38
32
31
33
35
30
34
If PQ is tangent to circle R at point Q and PS is
tangent to ⊙R at point S, what is the perimeter
of quadrilateral PQRS?
Answer:
Perimeter of the quadrilateral PQRS is 25 units
Step-by-step explanation:
From the figure attached,
PQ is a tangent to the given circle so m∠PQR = 90°
Now we apply Pythagoras theorem in the ΔPQR,
PR² = PQ² + QR²
(PT + TR)²= PQ² + 5²
(4 + 5)² = PQ² + 25
81 = PQ² + 25
PQ = √(81 - 25)
= √56
≈ 7.5 units
PQ ≅ PS ≅ 7.5 units
[Since measures of tangents drawn from a point to a circle are always equal]
Perimeter of PQRS = PQ + QR + RS + PS
= 7.5 + 5 + 5 + 7.5
= 25 units
Therefore, perimeter of the quadrilateral PQRS is 25 units.
Answer:
10 + 4 square root 14
Step-by-step explanation:
so the person below or above me said 25 units and they are not wrong it just the did have it in a simple equation like this ^
so 4 square root 14 = 14.9 or 15
then 10 + 15 = 25 units
so the correct answer is 10 + 4 square root 14
I ALSO TOOK THE TEST AND IT WAS CORRECT :)
HELP ME PLEASE!!!
I don't understand...
If possible, please explain!
Answer:
saa.
Step-by-step explanation:
if you look at where the triangles connect, you will see they share an angle. that makes those two congruent. then yousee the SAA thrm. you go side (the line through one side) then the angle (the one that the two triangles share) then angle (the two marked congruent angles)
Find the perimeter of the figure.
Answer:
69.8
Step-by-step explanation:
Given the exponential equation y=34(5)x, what is the y-intercept (or starting point) of the graph?
Answer:
34
Step-by-step explanation:
Given
y = 34[tex](5)^{x}[/tex]
To find the y- intercept let x = 0, that is
y = 34[tex](5)^{0}[/tex] = 34 × 1 = 34 ← y- intercept
please help me it is math
Answer:
C is face
B is edge
A is vertex (where 2 or more points meet)
check out the square pyramid
Answer:
your answer should be 40
Step-by-step explanation:
the square's area is 4x4=16
and the triangles are 4(.5(3x4))=24
24+16=40
a rectangular field has side lengths that measure 9/10 mile and 1/2 mile what is the area of the field
Answer:
[tex]\frac{9}{20}miles^2=0.45miles^2[/tex]
Step-by-step explanation:
To find the area of a rectangle:
[tex]a=l*w[/tex]
where [tex]l[/tex] is the length and [tex]w[/tex] is the width.
In this case:
length: [tex]l=\frac{9}{10}miles[/tex]
width: [tex]w=\frac{1}{2} miles[/tex]
thus, we multiply this quantities to find the area:
[tex]a=(\frac{9}{10} miles)(\frac{1}{2}miles )\\\\a=\frac{9*1}{10*2}miles^2\\ \\a=\frac{9}{20}miles^2[/tex]
the area of this rectangle is 9/20 miles squared, or what is the same 0.45 miles squared
What is 19 percent of 50
Answer:
What is 19 percent (calculated percentage %) of number 50? Answer: 9.5.
Step-by-step explanation:
Answer:
9.5
Step-by-step explanation:
19% of 50
Convert the percentage to a decimal.
19% = 0.19
Multiply the decimal by the number.
50 × 0.19 = 9.5
9.5 is the answer.
Which number is equal to 10 Superscript 4?
40
1,000
10,000
40,000
Answer: The answer is 10,000
Step-by-step explanation:
10^4 is equal to 10,000
10^4 to the second power means that you have too add 4 zeros to the end of the number.
Since 10 already has a 0, you would add 3 more.
Therefore, the answer would be 10,000.
(Your Welcome)
Answer:
10^4 is equal to 10,000
10^4 to the second power means that you have too add 4 zeros to the end of the number.
Since 10 already has a 0, you would add 3 more.
Therefore, the answer would be 10,000.
Math question down below
Answer: E. 2/3
Step-by-step explanation:
Division is the same thing as fractions. So 2 divided by 3 is the same thing as 2/3
Answer:
E.
Step-by-step explanation:
A) 3(1/2)= 3/2= 1 1/2 X
B) 3/1(2/3)= 6/3= 2 X
C) 2(3)= 6 X
D) 3/2= 1 1/2 X
E) 2/3= 2/3 lol
This would make it E
Evaluate 6p, when p=4
Answer:
24
Step-by-step explanation:
6(4) = 24
Answer:
24
Step-by-step explanation:
can anyone please help me☹
Answer:
Look at the attachment
- sorry that it’s a bit messy, if you can’t read something let me know
Find the area. Will mark brainliest.
Answer:
216
Step-by-step explanation:
I think that it is 216 because if you add 18 and 10 you get 28 then multiply 28 by 12 then you get 336. Then you will find the area of the unshaded part which is 120. Then you will subtract 120 from 336 to get 216.
Hope this helps
THIS IS NOT A QUESTION!
This is a list of Area and Perimeter on the coordinate plane answers from Khan Academy.
approximate perimeter of STRIPE is 36.01
area of rectangle TOUR is 80
perimeter of of polygon CHOMP is 32.52
area of parallelogram YORK is 122
the area of trapezoid MASK is 34
The approximate perimeter of polygon CODIFY is 51.53
The area of triangle SOL is 52
The approximate perimeter of polygon DINGO is 34.44
the approximate perimeter of the isosceles triangle PAZ is 20.03
the area of triangle CAW is 10
The approximate perimeter of rectangle PEAR is 34.99
The area of trapezoid COWL is 45
The area of triangle TOP is 87/2 units
The approximate perimeter of triangle VEN is 29.80
The area of parallelogram TOWN is 40
the approximate perimeter of quadrilateral BOAT is 30.34
Omg! Thank you. I was stuck for like an hour till I found this.
Answer:
Omg, thank you so much
Step-by-step explanation:
Which three-dimensional figures have lateral faces that are polygons? Check all that apply. cones cylinders hemispheres prisms pyramids spheres
Answer:
Prisms
Pyramids
Step-by-step explanation:
Lateral faces of a pyramid are triangles (3 sided polygon)
Lateral faces of prisms are rectangles (4 sides polygon)
Answer:
Cylinders, Prisms, Pyramids
Step-by-step explanation:
Hope this helps
Brainliest if correct pls
QUICK ILL GIVE YOU 20 POINTS
Paul weighs 36 kg. Felix weighs half as much as Paul, and Frank weighs 4 kg more than Felix.
Answer:
Idk what you need but here is everything possible
Step-by-step explanation:
Paul = 36kg
Felix = 18kg
Frank = 22kg
36+18+22=76
Their weight all together is 76kg.
Answer:
Paul is 36 kg
Felix is 18 kg
Frank is 22 kg
Step-by-step explanation:
Pauls answer is in the question (36kg)
Felix is half of paul 36/2=18
Frank is 4 kg more than Felix 36/2=18 18+4=22
