Answer:
See below ↓
Step-by-step explanation:
Finding w and x [both are equal]
Take the cos function of one of the 45° angles, which is the ratio of the adjacent side to the hypotenusecos(45°) = [tex]\frac{1}{\sqrt{2} } = \frac{w}{6}[/tex]⇒ w = [tex]\frac{6}{\sqrt{2} } = \frac{6}{\sqrt{2} } *\frac{\sqrt{2} }{\sqrt{2} } = \frac{6\sqrt{2} }{2}[/tex]⇒ w = 3√2 and x = 3√2Finding y
Take the cos ratio of the 60° angle to find ycos(60°) = [tex]\frac{1}{2} = \frac{y}{x} = \frac{y}{3\sqrt{2} }[/tex]⇒ y = [tex]\frac{3\sqrt{2} }{2}[/tex]Finding z
Take the sin ratio of 60° angle of the triangle, which is the ratio of the opposite side to the hypotenusesin(60°) = [tex]\frac{\sqrt{3} }{2}= \frac{z}{x} = \frac{z}{3\sqrt{2} }[/tex]⇒ z = [tex]\frac{3\sqrt{6} }{2}[/tex]Please help me solve these problems
From the dots the parabola’s are the same size just transitioned to different locations.
blue = y = x^2 + 3
Green = y = (x-4)^2
Orange = y = x^2 - 3
Purple = y = (x+4)^2
If 46 is 23% how much is 100%
100% = 200
hope it helps..!!!
How many solutions are there to the equation below?
x2 = 16
O A. 2
B. 16
C. 1
O D.O
E. 4
Answer:
A.2
Step-by-step explanation:
x² = 16
take the square root of both sides
x = ±4
there are 2 solutions to the equations, those 2 solutions being 4 and -4
just to double check
4² = 4 × 4 = 16
-4² = -4 × -4 = 16
16. A triangle has side lengths of 6, 8, and 10. Is it a right triangle? Explain. (2 points)
Answer:
yes
Step-by-step explanation:
A right triangle means that
[tex] {a}^{2} + {b}^{2} = {c}^{2} [/tex]
[tex] {6}^{2} + {8}^{2} = {10}^{2} [/tex]
, which means that it follows the rules of the formula, making it a right triangle.
If this answer helped you I would appreciate it if you gave me brainliest :D
Solve for X
Pls give your working out as well x
[tex]3^{x-2} = \left(\dfrac 13 \right)^{\sqrt x}\\ \\\implies 3^{x -2} = \left(3^{-1} \right)^{\sqrt x} \\\\\implies 3^{x-2} = 3^{-\sqrt x}\\\\\implies x -2 = -\sqrt x\\\\\implies (x-2)^2 = \left(-\sqrt x \right)^2\\\\\implies x^2 -4x +4 = x\\\\\implies x^2 -5x +4 =0\\\\\implies x^2 -4x-x+4=0\\\\\implies x(x-4) -(x-4)=0\\\\\implies (x-1)(x-4)=0\\\\\implies x = 1~~~~~~;[x = 4 ~ \text{Does not satisfy the original equation}]\\\\\text{Hence, x =1 is the solution.}[/tex]
This is a picture of a cube and the net for the cube.
What is the surface area of the cube?
Answer:
I don’t get it
Step-by-step explanation:
I think it is 5
its 54 also for some reason my comment keeps getting deleted for saying 54??
Joel has a goal to practice his clarinet for 4 1/2 hours per week. The list below shows the number of hours Joel has practiced so far this week.
Monday: 1 1\2 hours
Wednesday: 1 1\4 hours
Thursday: 1 hour
How many more hours does Joel need to practice this week to meet his goal?
Answer: 3/4 hour
Step-by-step explanation: Add them all to get 3 3/4. subtract that from 4 1/2.
Anna took a job that paid $100 the first week she qaa guaranteed a raise of 5% each week how much money will she make in all over 8 weeks round the answer to the nearest cent
Answer:
140.71
Step-by-step explanation:
WEEK 1- 100
WEEK 2- 105
WEEK 3-110.25
WEEK 4-115.7625
WEEK 5-121.550625
WEEK 6-127.62815625
WEEK 7-134.009564063
WEEK 8-140.710042266
By using an exponential equation, we will see that in the first 8 weeks she makes $954.90.
How much will she make in 8 weeks?
We know that the first week she makes $100, and for each week after that, she makes an extra 5%.
Then, the second week she makes:
W(2) = $100*(1 + 5%/100%) = $100*(1.05)
The third week she makes:
W(3) = $100*(1.05)*(1 + 5%/100%) = $100*(1.05)^2
We already can see the exponential pattern, for the N-th week, the salary will be:
W(N) = $100*(1.05)^(N - 1)
Then what she wins in the first 8 weeks is:
W(1) = $100W(2) = $100*1.05 = $105W(3) = $100*(1.05)^2 = $110.25W(4) = $100*(1.05)^3 = $115.75W(5) = $100*(1.05)^4 = $121.55W(6) = $100*(1.05)^5 = $127.63W(7) = $100*(1.05)^6 = $134.01W(8) = $100*(1.05)^7 = $140.71Now we just need to add these 8 values, we will see that the total money that she makes in these 8 weeks is:
M = $954.90
If you want to learn more about exponentials, you can read:
https://brainly.com/question/11464095
30 divided by 14 written as a fraction
Answer:
I believe your answer is 15/7
Let's solve.
[tex]\frac{30}{14} =\frac{15 * 2}{7*2} =\frac{15}{7}[/tex]
Hope that helps!
Solve 3x+1=15 for using the change base formula
Answer:
Step-by-step explanation: X = 4/3 or X= 1.3
3x + 1 = 5
3x = 5 - 1
3x = 4
X= 4/3 or X= 1.3
can i get the answer with work?
Answer:
Step-by-step explanation:
D
Answer: 15
Based on this info they have a probability of 0.6 of winning a game.So for 15 games they should win 0.6*15 = 9 gamesSo prediction for whole season = 6+9 = 15 games.
Step-by-step explanation:
pls help. Consider the following expression 9u+7v+5+4v.
Select all of the true statements below.
Answer:
7v and 4v are like terms, 9u is a term, and 5 is a constant.
Step-by-step explanation:
Like terms are terms that can be added together, such as numbers being multiplied by the same variable. A term is a number, a variable, or a number and a variable combined. A constant is a number that is not being multiplied or divided by a variable, but just a number on its own.
Compare the integers.
-14
-23
A)
B)
> Greater than
O
= Equal to
D
Neither
Answer:
-14 > -23
Step-by-step explanation:
-14 is greater than -23 since it is closer to 0 than -23.
hope this helps!! p.s. i really need brainliest :)
MAX POINTS PLEASE HELP Will make Brainliest
What is the period and frequency of the function graphed and how would the equation be written as a function
[tex]\qquad\qquad\huge\underline{{\sf Answer}}♨[/tex]
The required equation is :
[tex]\qquad \rm \dashrightarrow \:y =a \cos(bx) + k[/tex]
Now, let's find the required values :
period (p) = 6
[distance between any successive Crest or trough]
a = - 4 (flipped)
b = 2π/p = 2π/6 = π/3
k = -2
Distance of starting position from origin = k
Now, plug in the values ~
[tex]\qquad \rm \dashrightarrow \: - 4 \cos( \frac{\pi}{3} x) - 2[/tex]
Can someone please answer this question for me :) i would really appreciate it and would also mark brainliest
Answer:
x=0
Step-by-step explanation:
add 3 to both sides
subtract 4 from both sides
[tex]\sqrt{x} +4-3=1\\\sqrt{x} +4=4\\\sqrt{x} =0[/tex]
Answer: x=12
√x+4 - 3 = 1
(√x+4 - 3) + 3 = 1 + 3
√x + 4 = 4
(√x+4)^2 = 4^2
√(x+4)^2 = 16
x+ 4 = 16 (cancels out the square root)
(x + 4) + (-4) = 16 + (-4)
x + 4 - 4 = 16 - 4
And then just solve it out
x = 12
Hope this helped in some way
Please help me!
I’ll give 20 points
Answer:
Both answer is C
Step-by-step explanation:
30:20
3:2
Thus, (24/3)×2
=16 inch
Use the sam method by making ratio first, then compare to the second figures and substitute the value in first figure
9. You roll a standard number cube (with 6 sides) 8 times. The results are 5, 1, 2, 4, 6, 3, 5, 5
a. What is the experimental probability of rolling a 5 on a standard number cube?
b. For 40 rolls of the number cube, predict the number of rolls that will result in a 5 based on your experiment.
Answer:
a) we have 5 there 3 times so answer is 3/8
b)
for 8 times rolling 3 times 5 we have
for 40 times rolling will 15 times 5
Step-by-step explanation:
a) we have 5 there 3 times so answer is 3/8
b)
for 8 times rolling 3 times 5 we have
for 40 times rolling will 15 times 5
The value of the expression in standard nation is ….. of( 0.00032)(5.2 times 10^6) divided by 6.4 times 10^5
Answer:
The answer is 0.0026
Step-by-step explanation:
0.00032 x 5200000 = 1664
1664 divided by 640000 is 0.0026
Arnold is about to go on a 500-mile car trip. His mechanic recommends that he buy
a special highway engine oil that will save him 50 cents in gas for every 25 miles of the
trip. This new oil, however, will cost $20. Is it worthwhile for Arnold to buy the oil if he
has a coupon for $4 dollars off the price?
500 miles/ 25 = 20 x 0.50 = $10
He will save a total of $10
20-4 = $16
it will cost him $16 for the oil which is more than what he saves in gas so buying the oil is not worth it.
Steve needs to clean the four walls of his aquarium. The dimensions of the aquarium are shown. Steve needs to clean the four walls of his aquarium. The dimensions of the aquarium are shown.
The total dimension of the aquarium that will be cleaned by Steve will be 94 meters.
How to illustrate the dimensions?Your information isn't given. Therefore, an overview will be given. In this case, let's assume that the aquarium is rectangular. Let's assume the dimensions are 20m by 27m.
In this case, since she needs to clean the four walls of the aquarium, the total distance that will be cleaned will be:
= 2(Length + Width)
= 2(27 + 20)
= 2 × 47
= 94m
In conclusion, 94m will be cleaned.
Learn more about dimensions on:
https://brainly.com/question/19819849
Solve the linear equations below by using:
2x + y = -3
3x - 2y = -8
a. Addition
b. Substitution
c. Graphing
(WORTH 100 POINTS I WILL GIVE BRAINLY)
Answer:
To create a line plot with a cluster around 6-8, you basically just group a lot of dots around the area (such as putting 4 dots over the dashes labelled 6-8). And for a gap between 4-5, just put one dot over 0-3.
Answer:
To create a line plot with a cluster around 6-8, you basically just group a lot of dots around the area (such as putting 4 dots over the dashes labelled 6-8). And for a gap between 4-5, just put one dot over 0-3.
Step-by-step explanation:
The triangle shown below has an area of 22 units, 4 Find the missing length. = units
Answer:
11
Step-by-step explanation:
The formula for the area of a triangle is bh(1/2).
We can model an equation with:
22=4x(1/2)
multiply both sides by 2
44=4x
x=11
Heather invested $11,600 in an account that pays 5% simple interest. If she invests the money for 6 years, how much will she have?
The total amount in the account after 6 years is $______?
Answer
$15080
Step-by-step explanation:
ok so i havent done these in a while but basically.
First, we need to find out what the 6% is.
[tex]\frac{5}{100} \times \frac{11600}{1}[/tex]
5/100 because it's PERCENT, and well we need to put the 11600 out of 1.
Wich gives us
$580. THen, we multiply that by 6, (6 years). Which gives us
$3480. Now, we add that to the $11600. WHich gives us
$15,080.
Hope this helps!
Lacey worked 40 hr. at $18.75 per hour. Find her pay using P = RH.
Answer:
750
Step-by-step explanation:
I multiplied the hours she worked by the amount of payment per hour.
Answer:
$750
Step-by-step explanation:
Since Lacey worked 40 hours with the condition that each hours, Lacey will be paid for $18.75, because they worked 40 hours, therefore:
[tex]\displaystyle \large{P = 18.75+18.75+18.75+...+18.75}[/tex]
From above, you add from first hour pay to 40th hour pay. However, that’d take quite a long time to evaluate:
[tex]\displaystyle \large{\sum_{H=1}^{40} 18.75 = 18.75 \cdot 40}[/tex]
Then evaluate 18.75 * 40 and therefore the solution is $750
For usage of formula:
P = RH for P = pay, H = hour and R = rate (pay per hour)
So if you use the formula, you’d still end up with P = 18.75*40 which is $750
Which graph matches the equation y+6= 3(x + 4)?
Here's the graph using geogebra.org/graphing
Let me know if you need an explanation of how to solve this equation
How many positive integers are factors of 55^3 + 66^3?
Answer:
10
Step-by-step explanation:
55³ + 66³ =
= (5 × 11)³ + (2 × 3 × 11)³
= 5³ × 11³ + 2³ × 3³ × 11³
= 11³(5³ + 2³ × 3³)
= 11³ × 341
= 11³ × 11 × 31
= 11^4 × 31
The factors are:
1, 11, 31, 11², 11³, 11^4, 11 × 31, 11² × 31, 11³ × 31, 11^4 × 31
The factors are:
1, 11, 31, 121, 341, 1331, 3751, 14641, 41261, 453871
Answer: 10
Kerry participated in a fundraiser for the Children's Wish Foundation yesterday. She sold 115 pins for $3 each, 214 ribbons for $4 each, 85 coffee mugs for $7 each, and 347 baseball hats for $9 each. Calculate the average amount Kerry raised per item.
Answer:
$6.46
Step-by-step explanation:
The average per item is the quotient of the total raised and the number of items. The total raised is the sum of the products from multiplying the number of items at a given price by that price.
__
A weighted average is computed easily using a spreadsheet or calculator.
Here, the average amount per item is computed by a calculator to be ...
$6.46 per item, average
I need help ASAP or im going to fail
Answer:
45
Step-by-step explanation:
Since it given that her parent and grandmother attend a soccer game. Thus, we can see that there is no students.
Also given that:
Student tickets: $6
Non-Student tickets : $12
Parking : $9
Thus,
Non- Student tickets:$ 12 (Parents and grandmother are not students)
Parking: $9 ( Since they attend a soccer game they need somewhere to park)
Parents = 2 person (Mom and Dad)
Grandmother = 1 person
1 + 2 = 3
Now,
Since Non-student tickets = $12
3 * 12 +9
36 + 9
45
Hence, the family spend $45 to attend the game.
~lenvy~
Enter the output values (Y) with the given function and input values (X).
Answer:
y = 3x - 2
X Y
6 16 3(6)-2 -> 18-2 = 16
5 13 3(5)-2 -> 15-2= 13
4 10 3(4)-2 -> 12-2= 10
7 19 3(7)-2 -> 21-2= 19