Given:
Three integers, a, b, and c, where c is a positive integer.
The product of a and b is 6.
The product of a and c is -4.
The product of b and c is -6.
To find:
The values of a,b and c.
Solution:
According to the given information:
[tex]ab=6[/tex] ...(i)
[tex]ac=-4[/tex] ...(ii)
[tex]bc=-6[/tex] ...(iii)
From (ii), we get
[tex]a=-\dfrsc{4}{c}[/tex] ...(iv)
From (iii), we get
[tex]b=-\dfrsc{6}{c}[/tex] ...(v)
Putting [tex]a=-\dfrsc{4}{c}[/tex] and [tex]b=-\dfrsc{6}{c}[/tex] in (i), we get
[tex]\dfrac{-4}{c}\times \dfrac{-6}{c}=6[/tex]
[tex]\dfrac{24}{c^2}=6[/tex]
[tex]\dfrac{24}{6}=c^2[/tex]
[tex]4=c^2[/tex]
Taking square root on both sides, we get
[tex]\pm \sqrt{4}=c[/tex]
[tex]\pm 2=c[/tex]
It is given that c is a positive integer. So, it cannot be negative and the only value of c is [tex]c=2[/tex].
Putting [tex]c=2[/tex] in (iv), we get
[tex]a=-\dfrsc{4}{2}[/tex]
[tex]a=-2[/tex]
Putting [tex]c=2[/tex] in (v), we get
[tex]b=-\dfrsc{6}{2}[/tex]
[tex]b=-3[/tex]
Therefore, the values of a,b,c are [tex]a=-2,b=-3,c=2[/tex].
(please help)!!!!!!!!!!!!!!
Answer
use trigonometry to find both the answers.
i have done the working out in the picture hope it helps...
Step-by-step explanation:
A drinking glass is shaped like a cylinder, as shown below.
study the figure below...
8 centimeters... 16 centimeters...
Which measurement is closest to the volume of the drinking glass in cubic centimeters?
A. 6434 cm3
A. 6,434 centimeters cubed,
B. 804 cm3
B. , 804 centimeters cubed, ,
C. 1608 cm3
C. , 1,608 centimeters cubed, ,
D. 3217 cm3
Answer:
804 cm3
Step-by-step explanation:
multiply the lenght and the width then multiply by 3.14 which is pi.
You will get 40 points if you help me and Brainliest!
Answer:
The answer is c It is hard to explain so sorry
Answer:
C
Step-by-step explanation:
The bus spans from 10 to 20 the absolute value of that is 10 the teachers span from 15 to 30 the absolute value of that is 15 making the teachers 5 miles more than the buses.
What is the diameter of a sphere with a volume of 332\text{ cm}^3,332 cm 3 , to the nearest tenth of a centimeter?
Answer:
The diameter is 8.6cm
Step-by-step explanation:
Given
Shape: Sphere
[tex]Volume = 332cm^3[/tex]
Required
Determine the diameter of the sphere
First, calculate the radius using:
[tex]Volume = \frac{4}{3} \pi r^3[/tex]
Substitute: [tex]Volume = 332cm^3[/tex]
[tex]332= \frac{4}{3} \pi r^3\\[/tex]
Solve for r
[tex]r^3 = \frac{332 * 3}{4 * \pi}[/tex]
[tex]r^3 = \frac{996}{4 * \pi}[/tex]
[tex]r^3 = \frac{249}{\pi}[/tex]
[tex]r^3 = \frac{249}{3.142}[/tex]
[tex]r^3 = 79.25[/tex]
Take cube roots
[tex]r = \sqrt[3]{79.25}[/tex]
[tex]r = 4.3[/tex]
Diameter (D) is calculated as:
[tex]D = 2r[/tex]
[tex]D = 2 * 4.3[/tex]
Martina runs 6 miles in 50 minutes. At the same rate, how many miles would she run in 35 minutes?
Answer:
4.2 miles
Step-by-step explanation:
Martina runs 6 miles in 50 minutes, we have to find the rate at which she is running. Put it in a fraction [tex]\frac{6}{50}[/tex] or she runs 6 miles every 50 minutes. When we divide we get that she is running, 0.12 miles evrey minute. The question askes us how far Matina will run in 35 minutes, so we multiply 0.12 by 35, and we get that she will run 4.2 miles.
Help me please thanks
Answer:
64 square cm
Step-by-step explanation:
(I pulled this out of the comments in case someone else needs this answer. Easier to see as an answer than as comments in the app)
Area 2 is easier, so we’ll start with that one. Area of a rectangle is length x width.
8 x 6 = 48 square cm
Area 1 is a triangle, so the formula is 1/2(base)(height). The height of the triangle is 8, because it’s the same as the base of the rectangle. The base of the triangle is 4, because we can subtract the 6 from the rectangle from the total side length of 10. Does that make sense?
So 1/2 (4)(8)= 1/2(32) = 16 square cm
Then we add 16 + 48 = 64 square cm
The length of title a is about 2.23607 inches which mark on the tape measure is closest to 2,23607 inches ?
A line has a slope of 2/3 and y-intercept of (0,3). Which of the following represents the equation of the line?
Answer:
just believe and ask for forgiveness
Step-by-step explanation:
god lovesyou amen you shall pass
Who can describe and correct the error in finding volume of the cone
What is the numerical coefficient in y=−6x−3
Which expression represents the area of the shaded region?
Given:
A circle of radius r inscribed in a square.
To find:
The expression for the area of the shaded region.
Solution:
Area of a circle is:
[tex]A_1=\pi r^2[/tex]
Where, r is the radius of the circle.
Area of a square is:
[tex]Area=a^2[/tex]
Where, a is the side of the square.
A circle of radius r inscribed in a square. So, diameter of the circle is equal to the side of the square.
[tex]a=2a[/tex]
So, the area of the square is:
[tex]A_2=(2r)^2[/tex]
[tex]A_2=4r^2[/tex]
Now, the area of the shaded region is the difference between the area of the square and the area of the circle.
[tex]A=A_2-A_1[/tex]
[tex]A=4r^2-\pi r^2[/tex]
[tex]A=4r^2-\pi r^2[/tex]
[tex]A=r^2(4-\pi )[/tex]
Therefore, the correct option is (a).
Can the following angle measures be the interior angles of a triangle: 29°, 29°, and 29° ? Justify your answer.
Answer:
No
Step-by-step explanation:
Angle measures of a triangle must add up to 180 and this only adds up to 87
Answer fast plsssssss
Answer:
i cat see it
Step-by-step explanation:
What is the volume 9inches 3inches 5inches
Answer:
135 can i have brain list
Step-by-step explanation:
9X3X5
31 PIONTS GIVING BRAINIEST AWNSER Any tips on how to get a grade up ???
Answer:
Forgot picture?
Step-by-step explanation:
Answer:
You can get your grade up by studying, getting a tutor, paying attention in class, taking good notes, asking questions, and cheating (i don't recommend this one :/)
please please I really need help this depends on my life
Answer:
39.4 divided by (-7.2)= -5.472
6.7-39.31=-32.61
Step-by-step explanation:
100. 00 - 0.22 what is the answer show your work
Answer:
100.00-0.22 is 99.78
U have to use decimal method. don't use Normal method
X
How many 1 -by-1 -by-1 -inch cubes fit inside of this
rectangular prism?
The number of 1 -by-1 -by-1 -inch cubes that can fit inside of this rectangular prism 120 cubes.
Volume of a rectangular prism
volume = lwh
where
l = lengthw = widthh = heightTherefore,
volume = 10 × 3 × 4 = 120 inches³
Volume of the cube = l³
where
l = side lengthTherefore,
volume = 1 × 1 × 1 = 1 inches³
Therefore, the number of 1 -by-1 -by-1 -inch cubes that can fit inside of this rectangular prism is as follows;
number of cube = 120 / 1 = 120 cubes
learn more on volume here : https://brainly.com/question/1578538
ANSWER ASAP PLEASE!
Diana & Henry are choosing candy toppings for their ice cream. Diana
will randomly choose a candy topping and Henry will also randomly
choose a candy topping. The candy topping choices are Butterfinger,
Snickers, MilkyWays, Crunch Bar, Starburst, and Skittles. What is the
probability that Diana and Henry will both choose Butterfinger?
a. 1/30
b. 1/36
c. 1/12
d. 1/6
Answer:d
Step-by-step explanation: there are 6 candys and only one is butterfinger therefore it would be 1/6
Answer:
answer should be 1/36
option (b)
good day mate
explanation : the sample space is 36 and butterfinger comes only once to both of them.
When a<0 is the parabols wider or narrower?
Answer:
When A is less than 0 the parabola flips downward. When A becomes larger than 1, the parabola becomes more narrow. When A becomes smaller, until 0, the parabola widens.
Step-by-step explanation:
which of the following matrices has an inverse?
Answer: C
Step-by-step explanation:
Plz help I’ll give brainliest
Answer:
1. y = 2x + 5
2. (-5) + 3 + (-8) = 3 - 5 - 8 = 3 - 13 = -10
3. given: 1/2, 3/4, 7/8, 0.55, 0.1
1/2, 3/4, 7/8 = 4/8, 6/8, 7/8
4/8 < 6/8 < 7/8
1/2 < 3/4 < 7/8
0.55 = 55/100 = 11/20
0.1 = 1/10 = 2/20
2/20 < 11/20
0.1 < 0.55
1/2 = 10/20
2/20 < 10/20 < 11/20
0.1 < 1/2 < 0.55
3/4 = 15/20
11/20 < 15/20
0.55 < 3/4
thus
0.1 < 1/2 < 0.55 < 3/4 < 7/8
Convert: 24 yards = _____ feet
72 feet
48 feet
76 feet
8 feet
Answer:
24 yards = 72 feet
Step-by-step explanation:
3 feet per yard
24 x 3 = 72
how many meters are their in centimeter
Answer:
You mean how many centimerters are in a meter?
In that case 100.
Step-by-step explanation:
Q Search
7
The solid shape is made of a cone on top of a hemisphere.
The height of the cone is 10 cm.
The base of the cone has a diameter of 6 cm.
The hemisphere has a diameter of 6 cm. * LT
(1 Point)
The total volume of the shape is ku cm3. Work out the value of k.
Answer:
.
Step-by-step explanation:
16. You decide to drop a penny off the top of the Willis Tower (fromerly the Sears Tower) in Chicago, IL. The
height of the penny (in feet) can be represented by the equation h= -16t2 + 1451 where t is time (in seconds).
a) How long will it take for the penny to hit the ground? Show any work that leads to your answer.
Answer:
9.5 seconds.
Step-by-step explanation:
We know that the equation that represents the height of the penny as a function of time is:
h(t) = -16*t^2 + 1451
Where the height is in ft, and the time is in seconds.
a) We want to know how long takes the penny to hit the ground.
Well, the penny will hit the ground when its height is equal to zero.
Then we need to solve for t:
h(t) = 0 = -16*t^2 + 1451
0 = -16*t^2 + 1451
16*t^2 = 1451
t^2 = 1451/16 = 90.7
t = √90.7 = 9.5
This means that it takes 9.5 seconds to hit the ground.
Answer:9.5 seconds
Step-by-step explanation:you subtract
Describe what you normally do on Sunday
my normal routine except i go to church
the sum of 2 numbers is -48 and their difference is 17.
Answer: -15.5, -32.5
Step-by-step explanation: Call the two numbers x and y, x+y=-48 and x-y=17, subtract both of them and you get 2y=31 and then divide both sides by 2 and get -15.5 for y, plug this back in the equations and get -32.5 for x, hope this helped!
How many yards are equivalent to 38 feet? Show your work.
Answer:
12.6
Step-by-step explanation:
divide the length value by 3
Can someone pleaseeee helppp i dont know how to do this
Answer:
C=3e
Step-by-step explanation:
Slope=
