find the surface area of this triangular prism
please help me
108 ft square
Step by step
5x8 is 40
3x4 is 12 x 1/2 is 6.
Again, 3x4 is 12 x 1/2 is 6
8x4 is 32
8x3 is 24
Add that all tigether and its 108
Help please :)) This is timed as well as mind boggling
Answer: Choice C
==========================================================
Explanation:
Recall that the form
[tex]z = r*\left[\cos\left(\theta\right)+i*\sin\left(\theta\right)\right][/tex]
can be abbreviated to
[tex]z = r*\text{cis}(\theta)[/tex]
The "cis" stands for the first letters of "cosine i sine" in that order.
The original fairly messy quotient can be shortened down to
[tex]\frac{90\text{cis}(\pi/4)}{2\text{cis}(\pi/12)}[/tex]
We have 90cis(pi/4) all over 2cis(pi/12) as one big fraction.
-------------------------------
Now we'll use this rule to divide two complex numbers
[tex]z_1 = r_1*\text{cis}(\theta_1)\\\\z_2 = r_2*\text{cis}(\theta_2)\\\\\frac{z_1}{z_2} = \frac{r_1}{r_2}*\text{cis}(\theta_1-\theta_2)\\\\[/tex]
As you can see, we divide the r1 and r2 values to form the final coefficient out front. The theta angles are subtracted to form the new argument.
-------------------------------
Let's apply that idea to what your teacher gave you
[tex]z_1 = 90*\text{cis}(\pi/4)\\\\z_2 = 2*\text{cis}(\pi/12)\\\\\frac{z_1}{z_2} = \frac{90}{2}*\text{cis}(\pi/4 - \pi/12)\\\\\frac{z_1}{z_2} = 45\text{cis}(3\pi/12 - \pi/12)\\\\\frac{z_1}{z_2} = 45\text{cis}(2\pi/12)\\\\\frac{z_1}{z_2} = 45\text{cis}(\pi/6)\\\\[/tex]
That last step then converts directly to the expression shown in choice C.
What is the value of x?
Answer:
more ... The letter "x" is often used in algebra to mean a value that is not yet known. It is called a "variable" or sometimes an "unknown". In x + 2 = 7, x is a variable, but we can work out its value if we try! A variable doesn't have to be "x", it could be "y", "w" or any letter, name or symbol.
Answer:
[tex]x = 12[/tex]
Step-by-step explanation:
For resolve this problem I use trigonometry identities.
[tex]sin(\theta) = \frac{OP}{H}[/tex]
Where [tex]\theta[/tex] is the angle of the triangle (45), [tex]OP[/tex] is the opposite side of the angle ([tex]6\sqrt{2}[/tex]) and the [tex]H[/tex] is the hypotenuse ([tex]x[/tex]).
Replace the know values in the relation
[tex]sin(45) = \frac{6\sqrt{2}}{x}[/tex]
Isolate [tex]x[/tex] of the equation and solve
[tex]\frac{6\sqrt{2}}{sin(45)} = x\\\frac{6\sqrt{2}}{\frac{\sqrt{2}}{2}} = x\\\frac{12\sqrt{2}}{\sqrt{2} } = x\\12 = x[/tex]
So the final answer is [tex]x = 12[/tex]
For the given central angle, determine the distance traveled along the unit circle from the point (1, 0).
360 degrees
a.
6.28 units clockwise
c.
3.14 units clockwise
b.
6.28 units
d.
3.14 units
9514 1404 393
Answer:
b. 6.28 units
Step-by-step explanation:
The travel through 360° takes you around the full circumference of the circle. That circumference is ...
C = 2πr
Since this is a unit circle, the radius is 1, so the circumference is ...
C = 2π·1 = 2π ≈ 6.28 . . . units (counterclockwise)
Angles are generally considered to be positive in the counterclockwise direction, so the distance traveled is 6.28 units counterclockwise. Answer choice (a) has the correct number of units, but the direction is incorrect.
How many solutions does this equation have? -3s + 10 = 7s
1
Step-by-step explanation:
what is this matrix called
[2,5,6]
Answer:
The dimension of a matrix is indicated with R × C where R is the number of rows in the matrix and C is the number of columns. When a matrix has the same number of rows as columns, then it's a square matrix. Matrices with just one row are called row matrices, and those with only one column are column matrices.
3x - 1 = 4x - 10 solve for x
Answer:
3x - 1 = 4x - 10
-1 = x - 10
9 = x
Step-by-step explanation:
10-1=4x-3x
9=X
this is the answer with steps
Yoo muning1027
( fréé pøints)
Answer:
thx for points ....,..................
A jar contains n nickels and d dimes. There are 20 coins in the jar, and the total value of the coins is $1.50. How many nickels and how many dimes are in the jar?
The jar contains ___nickels and ___ dimes.
10 nickels = $0.50
10 dimes = $1.00
So- 10 nickels + 10 dimes = $1.50
Find the slope of this line
Answer:
0
Step-by-step explanation:
We can use the two points given, which are (-4, -2) and (3, -2), to solve for the slope and answer the question. We have to subtract the y-values and then subtract the x-values. Those differences, divided, give us our slope, as shown below:
[tex]\frac{-2-(-2)}{-4-3} =\frac{-2+2}{-4-3} =\frac{0}{-7} =0[/tex]
So, the slope is 0. If you have any more questions on finding slope, or found what I just did confusing, let me know so I can help you! :)
solve pls brainliest
Mr. Ryan is buying a home for $250,000. He is making a 20% down payment and
financing the rest with a 25-year loan at 5% interest. What will his monthly payment
be?
Since 20% down payment, we will find the 20% of that $250,000.
10% is $25,000, now times by 2 would be 20% which is $50,000.
Now $250,000 - $50,000 = $200,000 which would be rest of the non-payed payment.
We will divide $200,000 with the 25 year loan. $200,000/25 = $8,000
There is also the 5% interest.
1% of $8,000 is $80 and times that by 5 would be 5% which is $400.
$8,000 + $400 = $8,400.
Since it is monthly, we will divide $8,400 by 12 months. $8,400/12 = $700.
The monthly payment would be $700.
(I hope this is correct.)
A backback originally costs $35 it is on sale for $22.75 find the percent of decrese
Answer $12.25
Step-by-step explanation: edmentum
What is a quartic function with only two real zeros of x=0 and x=2?
Answer:
x² - 2x = 0
Step-by-step explanation:
a = 0 ; b = 2
x² - (a +b)x + ab = 0
x² - (0 +2 )x + 0*2 = 0
x² - 2x = 0
f(x)={x+4….
for f(x)
Answer:
x+4 x<5
8 5<_x<7
2x -1 7<_x<_10
1/4 (-16x +8) distributive property
[tex] - 4x + 2 \\ \\ [/tex]
what is the desimal for
Answer:
A decimal is used to identify a unit of measure with precision because not all whole numbers cannot represent a unit of measure in a respective situation.
Answer:
Decimals are used to express the whole number and fraction together.
Step-by-step explanation:
The measure of ones angle of a triangle is 40. The measure of the other two angles are in a ratio of 3:4
Answer:
40, 60, 80
Step-by-step explanation:
angles are 40, 3x, 4x
40+ 3x + 4x = 180
40 + 7x = 180
7x = 180 - 40
7x = 140
x = 20
so the angles are 40, 60, 80
PLEASE SOMEONE EXPLAIN THIS I HAVE NO CLUE WHAT THIS MEANS OR WHAT THE ANSWER IS
What is the domain of this function?
(-3, -7)
(-8, 8)
(10, 1)
(9, 4)
(7,-4)
(-6, -9)
Answer:
-8,-6,-3,7,9,10
PLEASE HELPPPPPPPPPPPPPP
Answer:
The answer is 18
Step-by-step explanation:
4050/225 = 18
Therefore 4050/18 = 225
the length of a cuboid is 3 times of it's height and it's breadth is 2 times it's height if the volume of the cuboid is 48000cm cube, calculate it's dimensions
Answer:
The length, breadth and height of cuboid are 60 cm, 40 cm and 20 cm.
Step-by-step explanation:
Let,
The height of cuboid be X cm.The length of cuboid is three times of it's height. So, it will be 3x.The breadth of cuboid is two times of it's height. So, it will be 2x.Now, substuting all the given values in the formula to find the value of x.
[tex]\longrightarrow{\sf{V_{(Cuboid)} = l \times b \times h}}[/tex]
➝ V = Volume ➝ l = length ➝ b = breadth➝ h = height[tex]\begin{gathered} \qquad\longrightarrow{\sf{V_{(Cuboid)} = l \times b \times h}}\\\\\qquad\longrightarrow{\sf{48000 = 3x \times 2x \times x}}\\\\\qquad\longrightarrow{\sf{48000 = 3x \times 2{x}^{2}}}\\\\\qquad\longrightarrow{\sf{48000 = 6{x}^{3}}}\\\\\qquad\longrightarrow{\sf{{x}^{3} = \dfrac{48000}{6}}}\\\\\qquad\longrightarrow{\sf{{x}^{3} = 8000}}\\\\\qquad\longrightarrow{\sf{x = \sqrt[3]{8000}}}\\\\\qquad\longrightarrow{\sf{x = 20}}\\\\ \qquad{\star{\underline{\boxed{\sf{\purple{x = 20}}}}}} \end{gathered}[/tex]
Hence, the value of x is 20.
Now, we know the value of x. So, calculating the dimensions of cuboid :
Length = 3x
➝ 3 × 20➝ 60 cmBreadth = 2x
➝ 2 × 20➝ 40 cmHeight = x
➝ 1 × 20➝ 20 cm[tex]\rule{300}{2.5}[/tex]
The slope of a line is 2. The y-intercept of the line is -6. Which statements accurately describe how to graph the
function?
VX
O Locate the ordered pair (0, -6). From that point on the graph, move up 2. right 1 to locate the next ordered pain
the line. Draw a line through the two points.
O Locate the ordered pair (0.-6). From that point on the graph move up 2. left 1 to locate the next ordered pair
the line. Draw a line through the two points.
Locate the ordered pair (6.0). From that point on the graph, move up 2. right 1 to locate the next ordered pair
the line. Draw a line through the two points
Locate the ordered pair (6.0). From that point on the graph move up 2. left 1 to locate the next ordered pair on
the line. Draw a line through the two points
Save and Exit
Answer:
Locate (0,-6), move up 2, right 1
Step-by-step explanation:
Hi there!
To graph a linear function, we first locate the-intercept, then graph the next point according to the slope.
We're given that the y-intercept is -6. The y-intercept occurs when x=0, so therefore, the point (0,-6) falls on the line.
Locate (0,-6)
Now, to graph the next point, we look at the slope. The slope in this case is 2. This means every time the line travels to the right by 1 unit, it travels up 2 units.
Move up 2, right 1
I hope this helps!
solve pls brainliest
Answer:
$8
Step-by-step explanation:
20% of $40
= [tex]\frac{20}{100}[/tex] × $40
= 0.2 × $40
= $8
$8 is discounted from the regular price
Answer:
$8 off
Step-by-step explanation:
Convert from a percentage to a multiplier by dividing by 100:
[tex]\frac{20}{100}=0.2[/tex]
Then multiply that by the price:
[tex]40*0.2=8[/tex]
meaning the item is $8 off.
You can confirm that like so:
[tex]\frac{8}{40} =0.2\\[/tex]
or 20%
7. A diver dove to a location 4
a
meters below sea
level. He then dove to a second location meters
below sea level. How many meters are there
between the two locations?
Plz help me quick
Answer 1 3/5 meter below sea level
In this case, a diver goes into two different location expressed with "meters below sea level" unit. To know the distance between the two location, then you need to subtract it.
Step-by-step explanation:
Distance = 2nd location - 1st location
Distance = 8 1/5 meter below sea level - 6 3/5 meter below sea level= 1 3/5 meter below sea level
Find the value of y.
Answer: y=11 y=5 y=4 y=5 y=7 y=3
Step-by-step explanation:yknow
A store is selling a tv that costs $355 for $15% off. How much is the tv.
Answer:
301.75$
Step-by-step explanation:
have a good day
Choose the correct definition of divisor.
A. The answer in a division problem.
B. The number that is divided in a division problem.
C. The number that's left when the divisor doesn't go into the dividend
exactly.
D. The number that divides in a division problem.
Answer:the number that divides a division problem
Step-by-step explanation:the divisor divides the another number for the answer
hope this helps!
what are all the square numbers that are greater than 10 but less then 40
Answer:
16, 25, 36
Step-by-step explanation:
4^2 = 165^2 = 256^2 = 36Please solve this math problem... I will mark you brainliest
What are the possible values of y if x =4 in the inequality x-2y ≤ 5?
Answer:
y ≥ -0.5
Step-by-step explanation:
First, we can substitute 4 in for x in the inequality.
4 - 2y ≤ 5
Now, to solve for y, we start by subtracting 4 from both sides:
-2y ≤ 1
And divide by -2. When dividing or multiplying by a negative number while solving an inequality, we also have to remember to switch around the inequality sign. This gives us:
y ≥ [tex]\frac{1}{-2}[/tex] or y ≥ -0.5
Therefore, the possible values of y are -0.5 or greater.