Step-by-step explanation:
Given: r=9cm
Volume of sphere=4/3πr^3
=4/3*3.14*9^3
=3052.08 cm^3
Stan earns $12 per hour by working as an intern at a law firm. How much money does he earn in a week in which he works 28 hours?
A.
$400
B.
$380
C.
$350
D.
$336
E.
$300
Answer:
D
Step-by-step explanation:
Stan works for 28 hours and gets paid $12 for each hour, so the amount of money he gets in total is $12*28 = $336.
Which of the following is not equivalent to this expression?
2m + 10m +14+3
A. m +12m +8+9
B. 2m + 10 + 10m +7
C. 6m + 6m - 1 + 18
D. 15m +15 - 3m +2
Answer:
A
Step-by-step explanation:
the given equation can be simplified to 12m+17
so if we simply the other options we see that A = 13m+17
A jar contains 3 yellow and 7 green marbles. You randomly draw one marble from the jar then REPLACE it and randomly draw a second marble. Find the probability that you draw a yellow marble first and then a green marble.
3 yellow + 7 green = 10 total marbles.
The probability of picking a certain color is the number of that color over the total quantity.
Picking yellow would be 3 yellow / 10 total = 3/10
Picking green would be 7 green / 10 total = 7/10
To find the probability of doing both multiply the probability of each one by each other:
3/10 x 7/10 = 21/100
The answer would be 21/100
Help not much time to finish
Answer:
No solutions
Step-by-step explanation:
PLease help me with this
Answer:
x=5
Step-by-step explanation:
45=9x
45/9=x
5=x
how do you solve this problem to find the measure of the angle indicated in bold? thank you pls answer!
Answer: 85 degrees
Step-by-step explanation: 20x+5+24x-1=180
44x+4=180
-4 -4
44x=176
division property of equality x=4
20(4)+5=
80+5= 85 degrees
find the surface area of each figure. round to the hundredths place
Given:
In the given cone,
Radius of the cone = 7.2 m
Slant height of the cone = 17 m
To find:
The surface area of the cone.
Solution:
The surface area of a cone is:
[tex]A=\pi rl+\pi r^2[/tex]
Where, r is the radius of the cone and l is the slant height of the cone.
Putting [tex]\pi=3.14,\ r=7.2,\ l=17[/tex] in the above formula, we get
[tex]A=(3.14)(7.2)(17)+(3.14)(7.2)^2[/tex]
[tex]A=384.336+162.7776[/tex]
[tex]A=547.1136[/tex]
[tex]A\approx 547.11[/tex]
Therefore, the surface area of the given cone is 547.11 square m.
determine the intercepts of the line
x-intercept (__,__)
y-intercept (__,__)
x-intercept (-40,0)
y-intercept (0,15)
Answer:
x intercept (-40,0)
y intercept (0,15)
Step-by-step explanation:
the point where a line cuts an axis (X or Y) is called the intercept of that axis.
The terminal side of 0 is in quadrant IV and sin 0= -5/13 What is cos 0?
Answer:
cosθ = [tex]\frac{12}{13}[/tex]
Step-by-step explanation:
Given
sinθ = - [tex]\frac{5}{13}[/tex] = [tex]\frac{opposite}{hypotenuse}[/tex]
This is a 5- 12- 13 right triangle
with opposite = 5, adjacent = 12 , hypotenuse = 13
since θ is in 4th quadrant then cosθ > 0
cosθ = [tex]\frac{adjacent}{hypotenuse}[/tex] = [tex]\frac{12}{13}[/tex]
The trigonometric ratio of cos θ in quadrant IV is 12/13.
What is trigonometry?Trigonometry is mainly concerned with specific functions of angles and their application to calculations. Trigonometry deals with the study of the relationship between the sides of a triangle (right-angled triangle) and its angles.
For the given situation,
Sin θ = -5/13, and
θ lies in the quadrant IV.
By trigonometric ratio,
[tex]sin \theta = \frac{opposite}{hypotenuse}[/tex]
⇒ [tex]sin \theta = -\frac{5}{13}[/tex]
Here opposite side = 5 and
hypotenuse side = 13
The adjacent side can be calculated by using the Pythagoras theorem,
[tex]Hypotenuse^{2} = opposite^{2} +adjacent^{2}[/tex]
⇒ [tex]adjacent = \sqrt{hypotenuse^{2} -opposite^{2} }[/tex]
⇒ [tex]adjacent = \sqrt{13^{2} -5^{2} }[/tex]
⇒ [tex]adjacent = \sqrt{169 -25 }[/tex]
⇒ [tex]adjacent = \sqrt{144}[/tex]
⇒ [tex]adjacent = 12[/tex]
Thus [tex]cos \theta = \frac{adjacent}{hypotenuse}[/tex]
⇒ [tex]cos \theta = \frac{12}{13}[/tex]
θ lies in the quadrant IV, so cos θ > 0.
Hence we can conclude that the trigonometric ratio of cos θ in quadrant IV is 12/13.
Learn more about trigonometry here
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Rachel is at a 6-day camp. She gets homesick after
1 days. What fraction of camp has she completed before she gets homesi
Answer:
1/6
Step-by-step explanation:
The Gutierrez family and the Kim family both have pools. The Gutierrez family is filling their
pool, which is modeled by the equation =
1
2 + 1. The Kim family is draining their pool,
which is modeled by the equation = −1.25 + 5. In both equations, represents the time in
hours and represents the depth of the water in the pool in feet. These two situations can be
described by the following system of equations:
y = 1/2x + 1
y= -1.25x + 5
Answer:
x = 2.285 hours
y = 2.1425 feet
Step-by-step explanation:
Let us say that y represents the depth of the pool in feets and x represents the time in hours
The two set of equations are
y = 1/2x + 1
y= -1.25x + 5
Solving the above two equations we get
Subtracting eq (1) from eq (2), we get -
y-y = -1.25 x -0.5 x + 4
0 -1.75 x + 4
x = 4/1.75
x = 2.285 hours
y = 0.5 * 2.285 + 1
y = 2.1425 feet
1. Find the median, mode, and mean for, {1, 4, 8, 3, 4, 5, 2, 2, 2, 5}
Answer:
Mean: 3.6
Median: 3.5
Mode: 2
Step-by-step explanation:
Mean: The sum of all numbers divided by the amount of numbers.
Median: The number in the middle.
Mode: the number that is frequently used.
------------------------------------------------------------------------------------------------------
Mean: 1 + 4 + 8 + 3 + 4 + 5 + 2 + 2 + 2 + 5 = 36 ÷ 10 = 3.6
Median: 1, 4, 8, 3, 4, 5, 2, 2, 2, 5. since two numbers are in the middle, we need to add 3 + 4 ÷ 2 = 3.5
Mode: 1, 4, 8, 3, 4, 5, 2, 2, 2, 5. The mode is two because it is used the most.
2x(3x -5) -3(x -3) for x = 2
SIMPLIFY THE FOLLOWING
Answer:
-15
Step-by-step explanation:
go to the picture okay
Answer: 7
Step-by-step explanation:
2x(3x-5) -3(x-3)2(2)(3(2)-5) -3(2-3) First you substitute 2 for all the x's. The twos in . parentheses represent multiplication.4(6-5) -3(2-3) Second, you multiply 2 by 2, which equals 4, . and multiply 3 by 2, which equals 6. 4(1) -3(-1) Next, you solve the problems in the . parentheses, which is 6 minus 5 is 1, and 2 . minus 3 is -14-(-3) Next, you multiply 4 by 1, which is 4, and . multiply 3 by -1.4+3 Since two negatives make a positive, the . equation changes to 4 plus 3.7 Finally, you add 4 plus 3 and get 7.P.S: Sorry about the random periods. I had to put them in to format it like that.
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Miguel e nádia trabalham num escritório de contabilidade. A cada 45 minutos miguel vai á sala de café para relaxar um pouco, enquanto nádia faz o mesmo a cada 60 minutos. Se eles acabarem de se encontrar na sala de café, daqui a quantas horas vão se rever nesse mesmo lugar?
Responder:
3 horas
Explicação passo a passo:
Dado :
Miguel a cada 45 minutos
Nádia a cada 60 minutos
Número de horas que eles vão se ver no mesmo lugar:
Para fazer isso ;
Obtenha o menor múltiplo comum de 60 e 45
Múltiplos de:
45: 45, 90, 135, 180, 225.
60: 60, 120, 180, 240, 300.
O menor múltiplo comum de 45 e 60 é 180
° Assim, eles se verão no mesmo lugar após 180 minutos;
Número de horas = 180/60 = 3 horas
i need helpabdjbajdbajdb
Answer:
c=10
Step-by-step explanation:
pythagreom theroem
c (hypotenuse) = [tex]\sqrt{a^{2} +b^{2} }[/tex]
plug in values for a and b
c=[tex]\sqrt{6^{2} +8^{2} }[/tex]
c=[tex]\sqrt{36+64\\}[/tex]
c=[tex]\sqrt{100\\}[/tex]
c=10
Answer:
length of the hypotenuse = √100 = 10 ft
Step-by-step explanation:
This is a right triangle with leg lengths 6 and 8 ft. We apply the Pythagorean Theorem a^2 + b^2 = c^2, as follows:
(6 ft)^2 + (8 ft)^2 = c^2
Then c^2 = 100, and c = length of the hypotenuse = √100 = 10 ft
the diameter of a circle is 18 miles. What is the area? Give the exact answer in simplest form
Answer:
254.47
Step-by-step explanation:
Raidus of the circle is 9
Formula to find the area is pi r^2
Does the graph represent a function?
A bag holds 7 red marbles, 3 green
marbles, and 6 blue marbles. A marble
is drawn at random. What is the
probability that it is NOT red?
HELPPP (show work pls)
Answer:
9/16
Step-by-step explanation:
P(Ball drawn is not red)=3+6/7+3+6
=9/16
Answer:
9/16
Step-by-step explanation:
there are 9 out of 16 that are not red
Antonio drops a glass marble into a pond and creates ripples that form concentric circles on the surface of the water. The radius of the circle, r, in centimeters is given by the function , where t is the time in seconds that the ripples move outward from the center of the circle. Find the function A(t) that represents the area, A, of the expanding circle in t seconds.
Answer:
is it multiple answer?
Step-by-step explanation:
5x-4y=19
x+2y=8
simultaneous equation
Answer:
x=5
y=1.5
Step-by-step explanation:
Find the greatest common factor of 28 and 46.
Answer:
the greatest common factor is 2
Answer:
GCF is 2
Step-by-step explanation:
How many solutions does the following system of linear equations have?
{y=5x−2
y=−5x+4
A. No solutions
B. One solution
C. Two solutions
D. Infinite solutions
In the figure below, secant PQ intersects the circle at R and secant SQ intersects the circle at point T. What is the value of z?
Answer:
19
Step-by-step explanation:
6×(6+14) = 5×(5+z)
120 = 25 + 5z
95 = 5z
z = 19
How to solve this
Sin^4a - cos^4a
Answer:
The answer is (-sin(cos^4a(x)))^4a
Hey! Can someone help me find the value of x please!!!!! it's my last question!
Answer:
is this math
Step-by-step explanation:
Answer:
3x!
Step-by-step explanation:
Since the sides are the same (marked with the lines on the side) the 2 angles are also the same! :D
h (p) = p2 – 3p, find h (2)
Answer:
-2
Step-by-step explanation:
see Image below:)
hellllp. c. c c jajagebskaiwuwbsodihemqlah due bw
Answer:
[tex]D)Symmetric ~property ~of ~Equality[/tex]-------------------------hope it helps...have a great day!!is y=2x^3 an even or odd function or neither
Answer:
Odd
Step-by-step explanation:
If the graph of a line goes from the upper left cornerof the graph to the lower right corner, what can you say about its slope?