Answer:
39.94 cmSolution,
ABCD is a rectangle.
Given,
AC= 64 cm
AB= 50 cm
To find: Value of other side of TV
since, ABCD is a rectangle
<B= 90°
Using Pythagorean theorem:[tex] {ac}^{2} = {ab}^{2} + {bc}^{2} \\ {64}^{2} = {50}^{2} + {bc}^{2} \\ {bc}^{2} = {64}^{2} - {50}^{2} \\ {bc}^{2} = 4096 - 2500 \\ {bc}^{2} = 1596 \\ bc = \sqrt{1596} \\ bc = 39.94 \: cm[/tex]
Hope this helps...
Good luck on your assignment..
Complex numbers are used in electronics to describe the current in an electric circuit. Ohm's law relates the current in a circuit, I, in amperes, the voltage of the circuit, E, in volts, and the resistance of the circuit, R, in ohms, by the formula Solve the problem using this formula. Find E, the voltage of a circuit, if I = (16 + i) amperes and R = (2 + 4i) ohms.
Answer:
E = (28 + 66i) Volts
Step-by-step explanation:
Note that: i = √-1 ; i² = -1
Ohm's law: E = IR
E = (16+ i) (2 + 4i)
Expand the equation.
E = 16x2 + 16x4i + ix2 + ix4i
E = 32 + 64i + 2i + 4i²
E = 32 + 64i + 2i + 4(-1)
E = 32 + 64i + 2i - 4
Collect like terms:
E = 32 -4 + 64i + 2i
E = (28 + 66i) Volts
Eva is working out the area of a triangle . The base is 7.8 and the length of one side is 6.3 cm. I multiply and then divide by two. What mistake has eva made?
Answer:
Eva used a side dimension instead of the height.
Step-by-step explanation:
The base needs to be multiplied by the height, then the result needs to be divided by 2. Eva's mistake is using a side dimension instead of the height. Her approach only works for a right triangle.
Eva multiplied the base by the side height, not the actual height.
Step-by-step explanation:
The area of a triangle is b×h×½, or b×h÷2. Eva multiplied the length times one side, as it says in the problem. The actual height of the triangle we don't know, but we know that Eva multiplied the base, 7.8 cm, by the wrong height.
Hope this helps! (Plz give me brainliest, it will help me achieve my next rank.)
ok gamers i just need an answer for this right here
Name the property of a definition illustrated by each of the following.
6(x-7)=6x-42
Answer:
I think this is the distributive property.
Step-by-step explanation:
If f(x) = x2 + 3x - 4, find f(4).
Answer:
f(4) = 24
Step-by-step explanation:
Plug in 4 for x in the equation:
f(x) = x² + 3x - 4
f(4) = (4)² + 3(4) - 4
Remember to follow PEMDAS. PEMDAS =
Parenthesis
Exponents (& Roots)
Multiplication
Division
Addition
Subtraction
and is the order of operation.
First, solve the power:
(4)² = 4 * 4 = 16
Next, multiply 3 with 4:
3 * 4 = 12
Next, combine the terms:
f(4) = 16 + 12 - 4
f(4) = (16 + 12) - 4
f(4) = 28 - 4
f(4) = 24
f(4) = 24 is your answer.
~
Answer:
24
Step-by-step explanation:
Plug x as 4.
(4)² + 3(4) - 4
16 + 12 - 4
= 24
help i will make u brainllest
Answer:
4 sqrt(7)
Step-by-step explanation:
We can use the leg rule
hyp leg
------- = -------------------
leg part
9+7 z
------- = -------------------
z 7
Using cross products
(9+7) *7 = z^2
16*7 = z^2
112 = z^2
Taking the square root of each side
sqrt( 16*7) = sqrt(z^2)
4 sqrt(7) = z
Which part of the graph is the distance from home constant? PLEAS HELP ME VERY EASY
Find the value of this expression if x = 3.
x2 + 3
Express your answer as a fraction or integer.
Enter the correct answer.
Answer:
9
Step-by-step explanation:
x2 + 3
(3)2 + 3
6 + 3
9
Answer:
12.
Step-by-step explanation:
x = 3; x^2 + 3.
(3)^2 + 3 = 3 * 3 + 3 = 9 + 3 = 12
Hope this helps!
Find lateral surface area in square units, of the following 3-
dimensional figure.
Enter just a number for your answer.
-
14 ft
7 ft
9 ft
Answer:
Lateral surface area of cuboid = 448 ft²
Step-by-step explanation:
Given:
Height of cuboid(h) = 14 ft
Length of cuboid(l) = 9 ft
width of cuboid(b) = 7 ft
Find:
Lateral surface area of cuboid
Computation:
Lateral surface area of cuboid = 2 h(l + b)
Lateral surface area of cuboid = 2(14)(9 + 7)
Lateral surface area of cuboid = 28(16)
Lateral surface area of cuboid = 448 ft²
NEED HELP ASAP *picture included* what percent of the area underneath this normal curve is shaded?
Answer:
68.26
Step-by-step explanation:
The symbol σ represents standard deviation. 1 standard deviation (in both directions) under a normal distribution= 68.26
Answer:
68%.
Step-by-step explanation:
The 68-95-99.7 rule (also know as the Empirical Rule) states that 68% of the data lies within 1 standard deviation of the mean. 95% of the data lies within 2 standard deviations of the mean. 99.7% of the data lies within 3 standard deviations of the mean.
According to the diagram, the area shaded shows data within 1 standard deviation of the mean (one standard deviation to the left, and one to the right). That means that 68% of the data is within the shaded area.
Hope this helps!
mo
1.
[tex] \frac{5}{10} \div \frac{3}{2} [/tex]
Answer:
The answer is 1/3.
Step-by-step explanation:
This is because when dividing you switch the sign to multiplication and flip the second fraction so that the denominator is the numerator and the numerator is the denominator. You would then just multiply as normal to get 1/3.
can some body help me plz
Answer:
Length of each side of the square = 8 cm
Step-by-step explanation:
In the figure attached, diagrams of a right triangle and a square have been given.
"Area of the square is twice the area of the triangle."
Let one side of the square = x cm
Therefore, area of the square = x²
Area of the given triangle = [tex]\frac{1}{2}(\text{Base})(\text{Height})[/tex]
= [tex]\frac{1}{2}(16)(4)[/tex]
= 32 cm²
Therefore, x² = 2 × 32
x² = 64
x = 8 cm
Therefore, length of each side of the square will be 8 cm.
Please help me find the answer ASAP
If 6x - y = 21 and -x + 6y = 14, what is the value of x - y?
Answer:
the value of x_y is 1.
hope u get it.....
HELP ASAP!!!!
A rectangle with a width of 2.5 cm and a length of 3 cm is dilated by a scale factor of 4. Which statements about the
new rectangle are true? Check all that apply.
The dimensions of the new rectangle will be 10 cm by 12 cm.
The dimensions of the new rectangle will be 40 cm by 48 cm.
The new perimeter will be 4 times the original perimeter.
The new perimeter will be 16 times the original perimeter.
The new area will be 4 times the original area.
The new area will be 16 times the original area.
The new perimeter will be 44 cm.
The new area will be 30 square cm
Answer:
A, C, E, G
Step-by-step explanation:
Complete the table of values for y = 3x - 2
Table
x: -1, 0, 1, 2
y:
Answer:
y= -5
y= -2
y= 1
y= 4
Step-by-step explanation:
plug in the values of x into the equation
The values of 'y' for the given values of [tex]x = - 1, 0, 1, 2[/tex] are [tex]- 5, - 2, 1, 4[/tex] respectively.
What is a linear equation?A linear equation is an equation that has one or multiple variables with the degree of the polynomial is 1.
The given linear equation is
[tex]y = 3x - 2[/tex]
The given values of [tex]x = - 1, 0, 1, 2[/tex].
For [tex]x = - 1, y = 3(- 1) - 2 = - 5[/tex]
For [tex]x = 0, y = 3(0) - 2 = - 2[/tex]
For [tex]x = 1, y = 3( 1) - 2 = 1[/tex]
For [tex]x = 2, y = 3(2) - 2 = 4[/tex]
Therefore, the table will be:
x y
- 1 - 5
0 - 2
1 1
2 4
Learn more about linear equation here: https://brainly.com/question/17034467
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Find the product h · k(x) if h(x) = 2(3x – 5) and k(x) = –2x + 1?
Answer:
The answer is option C.
Step-by-step explanation:
h(x) = 2(3x – 5) = 6x - 10
k(x) = –2x + 1
h • k (x) = (6x - 10) ( - 2x + 1)
= - 12x² + 6x + 20x - 10
The final answer is
= - 12x² + 26x - 10
Hope this helps you
Answer:
C) h · k(x) = –12x2 + 26x – 10
Step-by-step explanation:
Frank is detoxing and is wanting to drink one gallon of water a day. There are 128 ounces in a gallon. Frank has already drank four 16 ounce cups of water. First, how many ounces of water has Frank drank and second how many more ounces of water does Frank have to drink?
Answer:
frank drank 0.125us gallons= 16 ounces, he has 0.875 us gallons= 112 ounces
Step-by-step explanation:
since 16 oz (which frank drank) = 0.125 gal, 1 gal - 0.125 = 0.875 gal which = 112 oz
Need hep with this question
Answer:
V= -2000t + 20000
Step-by-step explanation:
Let m be the slope of our function :
m=(20000-16000)/(0-2)= -2000so our function is V= -2000t + b b is the intitial price so b = 20000then : V= -2000t + 20000Let's check :
take the second year : V= -2000*2 +20000 = 16000 that's true !solve the following system of linear equations using the elimination method
Answer:
x=-1, y=2, z=3
Step-by-step explanation:
First at all, you can divide these equations into two group. It is easier to you.
4x-2y+3z=1
3x+y+2z=5
x+3y-4z=-7
3x+y+2z=5
Then, you can simplify these group of equation that you divided.
So, we have to simplify these step by step.
First, we can simplify the first group of equation.
4x-2y+3z=1
3x+y+2z=5
We have to find which variable you want to eliminate. I choose y.
You can multiply the second equation of first group by 2 and eliminate them.
4x-2y+3z=1
6x+2y+4z=10
As the variable of y is same and we can eliminate y by addition.
4x-2y+3z=1
6x+2y+4z=10
become
10x+0+7z=11
10x+7z=11
10x+7z=11 as the third equation.
Next, simplify the second group of equation.
x+3y-4z=-7
3x+y+2z=5
Same way as the previous one. We need to find which variable that you want to eliminate. I choose y.
We need to balance for the first equation x+3y-4z=-7 at least one variable.
We need to multiply this equation by -3 below to get the same value of y to eliminate the above equation.
3x+y+2z=5 (multiply by -3)
-9x-3y-6z=-15
x+3y-4z= -7
-9x-3y-6z= -15
Here we go! Now these group has same value and variable to eliminate.
We can eliminate these equations by addition method.
x+3y-4z= -7
-9x-3y-6z= -15
-8x+0+10z= -22
-8x+10z= -22
Furthermore, we have to combine these equations that we have simplified from the previous groups.
10x+7z=11
-8x+10z= -22
10x+7z=11 and -8x+10z= -22 as a new group.
Finally, it is time to solve these equations!!
10x+7z=11
-8x+10z= -22
First equation of the above group, we can multiply by 10. Like this:
100x+70z=110
Second equation of the above group, we can multiply by 7. Like this:
-56x+70z=-154
So, we can see there are same value from these equation which are +70z and -70z.
Now, we can eliminate this variable by sum these equations.
100x+70z=110
-56x+70z=-154
44x= -44
x= -1
When we get x= -1 , we can use this value to any equation that you want. You can get the same answer as well.
When x= -1,
substitute into 100x+70z=110
100(-1)+70z=110
-100+70z=110
70z=110+100
70z=210
z=3
When z=3 and x= -1, we can substitute into x+3y-4z= -7
-1+3y-4(3)= -7
-1+3y-12= -7
3y=6
y=2
So, the answer is x= -1 , y=2 , z=3
I hope you will understand my solution and explanation. Bye!!
Helppp!!!! please!!!
Answer:
option d is correct answer.
hope it helps..
D. 8.8 cm^3
Step-by-step explanation:
The formula for the volume of a cone is...
[tex]V=\frac{1}{3}\pi r^2h[/tex]
We can plug everything we know into the formula and convert pi to 3.14 since the answer choices aren't in pi.
[tex]V=\frac{1}{3}*( 3.14*1.45*1.45*4 )[/tex]
I prefer to do the 1/3 last, but it is entirely up to you!
Now solve...
[tex]V=\frac{1}{3}*26.4074[/tex]
Divide by 3.
V =
8.8 cm^3
what is the point-slop of a line with slope 3/2 that contains the point (-1,2)?
O A. y 2 = 3/2(x-1)
O B. y+2 = 3/2(x-1)
O C. y-2 = 3/2(x + 1)
O D. y + 2 = 3/2(x + 1)
Answer:
The answer is option C.Step-by-step explanation:
Equation of a line is y = mx + c
where m is the slope
c is the y intercept
Equation of the line using point ( -1 , 2) and slope 3/2 is
y - 2 = 3/2(x + 1)Hope this helps you
Clare says’ this classroom is 11 m long in metres longer than a year so if I measure the length of the classroom I will get less than 11 yards .do u agree with Clare
Answer:
No I don't agree with Clare.
You will get more than 11 yards
Step-by-step explanation:
easy question please help fast, i just want to check my answer!
Answer:
false
Step-by-step explanation:
its false I think
what is the solution to the inequality below x<5
Answer:
The correct answer is B
Answer:
0 < x < 25
Step-by-step explanation:
The domain for f(x) and g(x) is the set of all real numbers.
Let f(x) = 3x + 5 and g(x) = x2.
Find f(x) · g(x).
A. 3x3 + 3x2 + 5
B. 3x3 + 5x2
C. 3x2 + 5
D. x2 – 3x – 5
Answer:
3x3 +5x2
Step-by-step explanation:
f(x).g(x)
(3x+5)(x2)
(3x×x2)(5×x2)
3x3+5x2
Please answer it now in two minutes
Answer:
52
Step-by-step explanation:
the total is 180
so u add 61 and 67 which gives u 128
so u subtract 180 and 128 which gives u 52
hope this helps
Answer:the answer is 52
Step-by-step explanation:
First a triangle equals 180 degrees. Knowing that Q is 67 degrees and R is 61 degrees 67 plus 61 is 128. 180 subtract 128 is 52 therefore S is 52 degrees.
What are the answers for each?
Answer:
7% of 33= 2.1
2% of 640= 12.8
15% of 470=70.5
7/9 of 51= 119/3
.52 of 62= 32.24
Answer:
1) 2.31
2) 12.8
3) 72
4) 44.625
5) 32.24
Step-by-step explanation:
7% of a number is simply 0.07*the number.
7/8 is just .875*the number
Hope it helps <3
What is 14v14 divided by 72 in simplest form?
Answer:
About 2.72
Step-by-step explanation:
From reading the comments, I suppose you meant v actually means x so:
14 × 14 = 196
196 ÷ 72 ≈ 2.72
Hope this helped! :)
Answer:
Hello!
I'm not sure what the " v " means but I think you meant to put x instead of v
____________________
14 x 14 = 196
196 ÷ 72 = [tex]\frac{49}{18}[/tex]
Step-by-step explanation: Reduce the expression, if possible, by cancelling the common factors.
Hope I got this right.
what is the formula for this equation?
hen spends 3 days baking 224 cookies. on the second day, he bakes twice as many as he did on the first day. on the third day, he baked half as many as he did on the first day. How many cookies did he bake o the 2nd day
Answer:
x + 2x + 1/2x = 224
Step-by-step explanation:
x + 2x + 1/2x = 224
3.5x = 224
x= 64
64×2=128
Hen baked 128 cookies on the second day
help pls, Find PG if JG=18.
The length of PG using the centroid property is 6 unit.
The centroid divides each median into segments in a 2:1 ratio.
This means that the distance from the centroid to the vertex is twice the distance from the centroid to the midpoint of the opposite side.
Given:
JG = 18
As, the centroid divides each median into segments in a 2:1 ratio then
PG:PJ = 1:2
So, the length of PG
= 1/3 * (18)
= 18/3
= 6 unit
Thus, the length of PG is 6 unit.
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