Answer:
0.5 hours
$130 = 1h
$90 = 30m/1h
Help please :)) This is timed as well as mind boggling
Answer: Choice C
==========================================================
Explanation:
Recall that the form
[tex]z = r*\left[\cos\left(\theta\right)+i*\sin\left(\theta\right)\right][/tex]
can be abbreviated to
[tex]z = r*\text{cis}(\theta)[/tex]
The "cis" stands for the first letters of "cosine i sine" in that order.
The original fairly messy quotient can be shortened down to
[tex]\frac{90\text{cis}(\pi/4)}{2\text{cis}(\pi/12)}[/tex]
We have 90cis(pi/4) all over 2cis(pi/12) as one big fraction.
-------------------------------
Now we'll use this rule to divide two complex numbers
[tex]z_1 = r_1*\text{cis}(\theta_1)\\\\z_2 = r_2*\text{cis}(\theta_2)\\\\\frac{z_1}{z_2} = \frac{r_1}{r_2}*\text{cis}(\theta_1-\theta_2)\\\\[/tex]
As you can see, we divide the r1 and r2 values to form the final coefficient out front. The theta angles are subtracted to form the new argument.
-------------------------------
Let's apply that idea to what your teacher gave you
[tex]z_1 = 90*\text{cis}(\pi/4)\\\\z_2 = 2*\text{cis}(\pi/12)\\\\\frac{z_1}{z_2} = \frac{90}{2}*\text{cis}(\pi/4 - \pi/12)\\\\\frac{z_1}{z_2} = 45\text{cis}(3\pi/12 - \pi/12)\\\\\frac{z_1}{z_2} = 45\text{cis}(2\pi/12)\\\\\frac{z_1}{z_2} = 45\text{cis}(\pi/6)\\\\[/tex]
That last step then converts directly to the expression shown in choice C.
Find the sum: -1 + 4 + 9 + ... + 64
Answer:
= 78
Step-by-step explanation:
Step One:
1 + 4= 5
Step Two:
5+9= 14
Step Three:
14+64= 78
= 78
Hope it helps :)
Answer: 441
Step-by-step explanation:
The formula for an arithmetic sum is
[tex]$\frac{\text{number of terms}}2 \cdot (\text{first term + last term})$[/tex]
We know that the [tex]\text{first term + last term} = -1 + 64 = 63[/tex]. So now all we need is the [tex]\text{number of terms}[/tex]. Well, if you draw each number onto the number line, you get something like
---|------|------|------|------|------|-----|------|-----|------|-----|------|-------|----------
-1 0 1 2 3 4 5 6 7 8 9 10 11 ...
You can see that your numbers are spaced 5 apart, and they go from -1 all the way up to 64. So what you're really asking is, "how many segments of five can I draw from -1 up to 64?" The length of the line from -1 to 64 is 65 (think about it), so the number of line segments is 65/5 = 13. However, we didn't count 64 itself, since there's no line segment past it! So really there are 14 terms in this sequence. Thus the total sum is
[tex]$\frac {14}2 \cdot (63) = \boxed{441}.$[/tex]
If Belinda wants to earn AT LEAST $400 profit (money earned after her expenses), how many pies does she need to sell?
Step-by-step explanation:
PLS HELP ASAP !!
A boy has climbed 210m up a 350m vertical cliff, and is trapped there.
A rescue helicopter is hovering 65m above the top of the cliff.
Calculate how far a rescue must be lowered to reach the boy.
You may draw a sketch to help you.
(i'll mark as brainliest if u answer:))
Answer:
205
Step-by-step explanation:
helicopter=65m
tap of the cliff=
the boy=350m
210=
that makes the answer 205
Answer:
205 meters
Step-by-step explanation:
The cliff is 350m, and the rescue helicopter is 65m above the top of the cliff.
This means that the helicopter is 415 meters above the bottom of the cliff.
The boy is 210m above the bottom of the cliff.
So, you have to subtract 210 from 415 to get 205.
Therefore, you have to lower the rescue 205m to reach the boy.
Please help me please
Step-by-step explanation:
m +2 = 4
m = 2
x = 1
y +1 = 2
y = 1
z = -1
Mr. Tanaka is loading his boat with many identical 45-pound boxes. Mr. Tanaka weighs 190 pounds. The boat can carry at most 1,000 pounds. If each box is fully-filled, how many boxes can he load on the boat?
Write an inequality that represents this situation.
Answer:
there should be 14, 45 pound boxes
Step-by-step explanation:
1000-190= 810
810/45=14 boxes
The height of a triangle is 8 times it’s base. The area of the triangle is 784 square centimeters. Find the base and height of the triangle
Answer:
b = 14 cm , h = 112 cm
Step-by-step explanation:
The area (A) of a triangle is calculated as
A = [tex]\frac{1}{2}[/tex] bh ( b is the base and h the height )
Given height is 8 times base , then h = 8b and A = 784 , then
[tex]\frac{1}{2}[/tex] × b × 8b = 784
b × 4b = 784
4b² = 784 ( divide both sides by 4 )
b² = 196 ( take square root of both sides )
b = [tex]\sqrt{196}[/tex] = 14
Then base b = 14 cm and height h = 8 × 14 = 112 cm
Decide if the following situation is a unit rate or not why or why not?
You score 12 points in one basketball game.
Answer:
Yes, because in 1 game you scored 12 points you didn't score multiple points in multiple games.
A coat is priced $50. If the sales tax is 7% of the price, how much is the sales tax? What is the total cost including sales tax?
Answer:
The sales tax is $3.5
The total cost is $53.5
Step-by-step explanation:
To find the sales tax, you have to find the 7 percent of 50 dollars. In decimal form, 7% is 0.07. So you just have to multiply 0.07 to 50.
50 x 0.07 = 3.5
That's why $3.5 is the sales tax.
In order to get the total cost including sales tax. You just have to add $50 to the sales tax which is $3.5.
$50 + $3.5 = $53.5
need help
on this problem
Answer:
4.6
Step-by-step explanation:
23/5=4.6
solve 6(8y-8)×(8³+8)
with solution
Answer:
24960(y-1)
I'm so glad to help you with this question hope you get it
Represent the following on a line graph
Time Temperature o F
5: 00 AM - 40
8:00 AM - 50
11: 00 AM - 60
2: 00 PM- 60
5: 00 PM- 30
8:00 PM- 20
If you could like draw one and attach it or a online version that would be great just need it represent.
Co-ordinates will be
(5,40)(8,50)(11,60)(14,60)(17,30)(20,20)a. 17 + 6 10=17,6 b. 45 + 6 100 5 c. 3 + + 10 2 100 7 8 d. 6 + + 9 + 10 100 1 000 6 e. 11 + + 10 8 1 000 f. 84 + 1 3 + 100 10
Need help me
Step-by-step explanation:
a. 17 + 6/10 = (17 x 10) / (1 x 10) + 6/10 = 170/10 + 6/10 = 176/10 = 17,6
b. 45 + 6/100 = (45 x 100) / (1 x 100) + 6/100 = 4 500/100 + 6/100 = 4 506/100 = 45,06
c. 3 + 5/10 + 2/100
= (3 x 100) / (1 x 100) + (5 x 10) / (10 x 10) + 2/100
= 300/100 + 50/100 + 2/100
= 352/100 = 3,52
d. 6 + 7/10 + 8/100 + 9/1 000
= (6 x 1 000) / (1 x 1 000) + (7 x 100) / (10 x 100) + (8 x 10) / (100 x 10) + 9/1 000
= 6 000/1 000 + 700/1 000 + 80/1 000 + 9/1 000
= 6 789/1 000 = 6,789
e. 11 + 6/10 + 8/1 000
= (11 x 1 000) / (1 x 1 000) + (6 x 100) / (10 x 100) + 8/1 000
= 11 000/1 000 + 600/1 000 + 8/1 000
= 11 608/1 000 = 11,608
f. 84 + 1/100 + 3/10
= (84 x 100) / (1 x 100) + 1/100 + (3 x 10) / (10 x 10)
= 8 400/100 + 1/100 + 30/100
= 8 431/100 = 84,31.
Hope this helps!!
here!i need the answer!
[tex]\sf 13\times 13\times 1[/tex]
Answer:
[tex]169[/tex]
Step-by-step explanation:
[tex]13 \times 13 \times 1[/tex]
[tex] = 13 \times 13[/tex]
[tex] = 169[/tex]
Clara Clatter was born on December 27th, yet her birthday is always in the summer. How is this possible
Answer:
She lives in the Southern Hemisphere.
Step-by-step explanation:
Help ASAP please i will mark brainliest who finishes first
pls be nice and neat
dont send links you CAN send photos of your answers
but i prefer typing your answers down thank you so much
Answer:
1-a) 78+x+16+x+24=180°
118+2x=180
2x=62
so x=31
Step-by-step explanation:
thats a
Answer:
1a) x = 31
1b) x = 12
2) angle A = 60 degrees
3) x = 40 degrees
Step-by-step explanation:
Solve for y.
6y - 2x = 20
Simplify fractions completely.
[?]
y =
= 4x + 1
+
Enter
Answer:
y= 10/3 + x/3
Step-by-step explanation:
not sure how to explain this
The value of y for the given equation is y = [tex]\frac{x}{3}[/tex] + [tex]\frac{10}{3}[/tex].
What is a linear equation?A linear equation is an equation where the maximum power of the variable is one. A linear equation may contain more than one variables. However, the highest power of any variable must be one.
Here, a linear equation is given that contains two variables x and y.
Therefore, 6y - 2x = 20
⇒ 6y = 2x + 20
⇒ y = (2x + 20)/6
⇒ y = [tex]\frac{2x}{6}[/tex] + [tex]\frac{20}{6}[/tex]
⇒ y = [tex]\frac{x}{3}[/tex] + [tex]\frac{10}{3}[/tex]
Hence, the value of y is [tex](\frac{x}{3}+\frac{10}{3})[/tex]
Learn more about a linear equation here: https://brainly.com/question/21835898
#Tag #SPJ2
3 (x-1)=3x-×-3-3+x+3
True or false
true
Step-by-step explanation:
Answer:
3x-3
Step-by-step explanation:
So false if you Multiply
Antoin has 17.5 kilograms of clay. He divides it evenly into buckets that hold 2.5 kilograms. How many buckets of clay will he have?
Answer:
7 buckets.
Step-by-step explanation:
17.5 / 2.5 = 7
Answer:
7
Step-by-step explanation:
17.5/2.5=7
Need help with this ASAP I’ll mark brainliest
Answer:
B' (3, 1 )
Step-by-step explanation:
Given
A (- 1, 3 ) → A' (- 3, 7 )
x- coordinate goes from - 1 → - 3 , that is - 2
y- coordinate goes from 3 → 7 , that is + 4
Translation rule is (x, y ) → (x - 2, y + 4 ) , then
B (5, - 3 ) → B' (5 - 2, - 3 + 4 ) → B' (3, - 1 )
The circumference of the planet Jupiter is approximately 2.7 x 109 miles, while the circumference of the Moon is 6.75 x 10° miles. How many times longer is the circumference of Jupiter than the circumference of the Moon?
Answer:
1738 kilometers
Step-by-step explanation:
Does anyone get this?
Dilation is the transformation that changes the size of a shape.
4 is a positive number so the shape will increase in size.
So after dilating every side by 4:
0,1
-0.5,0
1,0
We get
0,4
-2,0
4,0
Which proportion is not true?
A) BC/CD=FG/GH
B) AC/CD=EG/GH
C) BD/FH =AD/EH
D) AB/AE=EF/BF
Answer:
c I think that is the answer
Answer asap pleaseeeee
Answer:
I am not certified because I also struggle with these but-
it might be
A. t = -5h-4
Step-by-step explanation:
For the answer A in the paragraph it states that the temperature was 4 degrees BELOW 0 meaning we shall put as -4° and each HOUR it keep going down 5 degrees so I would suppose it would be answer A.
x:y=2:3 and x+y=10.Find value of x and y
Answer:
We know that x is 2
Whilst y is 3
this can be changed due to it’s ratio
So in this code x+y=10
2+3=10
We can do it this way.
2+3=5 (add the ratios)
10/5=2 (Divide the sum by the number needed)
2*2=4 (multiply the quotient for each ratio)
3*2=6 (multiply the quotient for each ratio)
x is 4
y is 6
Answer:
See below:
Step-by-step explanation:
Hello! My name is Galaxy and I will be helping you today. I hope you are having a nice day!!
We can solve this problem in two steps, Comprehension and Solving
I'll start off with comprehension.
Comprehension
We know that ratios are basically fractions as they both show comparison, so we can make x:y into [tex]\frac{x}{y}[/tex].
We also have another equation, making this problem a system of equations.
Now that we know what to do, we can begin solving!
Solving
We can solve this by first getting our two equations.
[tex]\frac{x}{y}=\frac{2}{3}[/tex]
We can simplify the 2nd equation so that we know what one variable is.
[tex]x+y=10\\x=10-y[/tex]
We can now input our second equation into the first equation.
[tex]\frac{10-y}{y}=\frac{2}{3}\\3(10-y)=2y\\30-3y=2y\\30=5y\\y=6[/tex]
If y is six, then we can use the second equation to solve for x.
[tex]x+6=10\\x=4[/tex]
We know that x is 4 and y is 6.
We can now check our answers.
1st Equation
[tex]\frac{4}{6}=\frac{2}{3}?\\[/tex]
[tex]\frac{2}{3}=\frac{2}{3}[/tex]
2nd Equation
[tex]4+6=10?\\10=10[/tex]
We've proven our answers to be right, therefore, x is 4 and y is 6.
HELP IM LATE LOL In an aquarium, ⅖ of the fish are surgeonfish. Of these, ¾ are yellow tangs. What portion of all fish in the aquarium are yellow tangs?
Answer:
1 and 3/20 total, 15/20 of the fish are yellow tangs which would also be 75%.
Step-by-step explanation:
2/5 and 3/4 need to be converted into a fraction with a similar denominator. 5x4= 20, so 20 is our denominator.
To find the numerator, we need to multiply 2 by 4, which equals 8, and 3 by 5 which equals 15.
8/20 + 15/20 = 23/20 or 1 3/20
i have 7 bags with 2 marbles in each bags. then my friend have 10 bags with 2 marbles in each bag. how many more marbles does my friend have?
Answer:
your friend has 6 more marbles
Step-by-step explanation:
7×2=14
10×2=20
20-14=6
Answer:
6
Step-by-step explanation:
First you multiply 7 by 2 because there is 2 marbles in each bag and there is 7 bags so that is 14 marbles
Then you multiple 2 by 10 because there is 10 bags with 2 marbles each which is 20.
20-14=6
Can I get brainliest?
solve for :
a_2=2(a_2+1)
Step-by-step explanation:
a_2=2a_4+2
a=_2+4_2
a=0
find the proabilty of rolling factors of 5 on both sides.
Mr. Holland is leaning a ladder against the side of his house to repair the roof. The top of the ladder reaches the roof, which is 3 meters high. The base of the ladder is 4 meters away from the house, where Mr. Holland's son is holding it steady. How long is the ladder? meters
Answer:
use Pythagoras theorem a^2+b^2 = c^2 where c is the longest side of the triangle (hypotenuse)
3^2 + 4^2 = c^2 (c is the length of the ladder)
9 + 16 = c^2
25 = c^2
c = √25 (square root)
c = 5
Answer:
blahhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhh
Step-by-step explanation:
what goes around always come back around