Answer:
26.56 degrees
Step-by-step explanation:
The set up will give a right angles triangle
Given
The Horizontal distance = Adjacent side = 300ft
The height = Opposite side = 150ft
Using the SOH CAH TOA identity;
tan theta = opposite/adjacent
tan theta = 150/300
tan theta = 1/2
theta = arctan 1/2
theta = 26.56 degrees
Hence the angle of elevation is 26.56 degrees
Leah has an account balance of –150 dollars. Which of the following represents a debt greater than –150 dollars?
Answer:
-175
Step-by-step explanation:
bc its farther than -150 from the 0
Jorge has a Total of 67 coins. All of which are dimes and nickels. The total value of the dimes and nickels i $5.40. Find the number of each type of coin.
Answer:
There are 41 dimes and 26 nickels.
Step-by-step explanation:
From the information given, you know that you have 67 coins which would be:
x+y=67
Also, you now that the value of each coin is:
dimes= $0.10
nickels=$0.05
With this you can say that the number of dimes for its value plus the number of nickels for its value is equal to $5.40:
0.10x+0.05y=5.40
You will have the following equations:
x+y=67 (1)
0.10x+0.05y=5.40 (2), where:
x are the number of dimes
y are the number of nickels
First, you can solve for x in (1):
x=67-y
Then, you can replace (3) in (2):
0.10(67-y)+0.05y=5.40
6.7-0.10y+0.05y=5.40
1.3=0.05y
y=1.3/0.05
y=26
Now, you can replace the value of y in (3) to find x:
x=67-y
x=67-26
x=41
According to this, the answer is that there are 41 dimes and 26 nickels.
Which represents the constant in the expression: 2x - 8
Answer:
-8
General Formulas and Concepts:
Algebra I
Constants have no variablesStep-by-step explanation:
Step 1: Define
2x - 8
Step 2: Identify
Term 2x
Constant -8
Please help me I need this
Answer:
since it's increasing 15% each year, it'll be linear, having a slope of 15.
Step-by-step explanation:
Because the users are increasing a percentage over time the function would be exponential.
The answer is exponential.
Find the distance between the point A(-4,3) and B(1,6)
Answer:
The distance would be (5,-3)
Which of these methods of paying for college does NOT need to be repaid?
Stafford loans
Consolidation loans
Work-study
Private loans
Answer:
Work study
Step-by-step explanation:
I did that question.
Help me i can’t do this
Answer:
[tex]\huge\boxed{\sf Star = 14}[/tex]
Step-by-step explanation:
Let snowman be x , star be y and shopping bag be z.
So, the given equations are:
1) x + y = 20 (Eq. 1)
2) z = x + x
z = 2x (Eq. 2)
3) z + x = 18 (Eq. 3)
Put Eq. (2) in Eq. (3)
2x + x = 18
3x = 18
Divide both sides by 3
x = 18 / 3
x = snowman = 6
Now, Put x in (Eq. 1)
6 + y = 20
Subtract 6 to both sides
y = 20 - 6
y = 14
So,
Star = 14
[tex]\rule[225]{225}{2}[/tex]
Hope this helped!
~AH1807Using the elimination method and showing all of your steps. Solve the following System of Equations. Make sure to write your answer as an order pair.
`-3x-4y=2`
`3x+3y=-3`
Answer:
ummm......i need more details.
Step-by-step explanation:
PLEASE ANSWER ASAP WILL GIVE BRAINLIEST.
A function is represented by the graph.
Complete the statement by selecting from the drop-down menu.
The y-intercept of the function y=−2x+8 is
Choose... greater than less than or equal to
the y-intercept of the function represented in the graph.
Answer:
equal to
Step-by-step explanation:
The y intercept is when x = 0.
In the function y=-2x+8, when x=0, y=8.
In the graph, when x=0, y=8. You can see on the x axis 0 is in the middle, and if you move up the y axis, you see the line intersects y=8.
Thus both have the same y intercepts of 8.
please give thanks :)
hope this helps
Answer:
equal to
Step-by-step explanation:
i took the test on k-12 and i got it correct.
please can anyone help me solve those questions with explanation thank you!!!
Step-by-step explanation:
A: X=4
Step 1: Distribute the 7 within the parenthesis which will give you:
7x - 21 = 7
Step 2: Add over the -21 to the other side of the = which will give you:
7x = 28
Step 3: Divide by 7 on both sides to get the final answer, X=4
B: M=9
Step 1: Multiply by 4 on both sides, to cancel it out on the right, which will give you:
32 = 3m + 5
Step 2: Subtract the 5 from each side, giving you:
27 = 3m
Step 3: Divide by 3 on both sides to get the final answer, M=9
C: X=28
Step 1: Subtract 9 from both sides, giving you:
x/2 = 14
Step 2: Multiply by 2 on both sides to give you:
x = 28 (This will be our final answer, there is nothing left to simplify.)
D: X=3
Step 1: Distribute the 2 on the left and the (-) on the right to give you:
5 + 2x + 10 = 10 - 4 + 5x
Step 2: Combine like terms and simplify to give you:
15 + 2x = 6 + 5x
Step 3: Subtract over the (2x) to give you:
15 = 6 + 3x
Step 4: Subtract over the 6 to give you:
9 = 3x
Step 5: Divide by 3 on both sides to get the final answer, X=3
2X²+6X=
need real answer pls
Answer:
Solution:
2x×(x+3)
Step-by-step explanation:
oper brackets
Alfred and Larissa have $21.00 each to spend at a book fair, where all students receive a 35% discount. They both want to purchase a copy of the same book, which normally sells for $28.50 plus 10% sales tax. To check if he has enough to purchase the book, Alfred takes 35% of $28.50 and subtracts that amount from the normal price. He takes 10% of the discounted selling price and adds it back to find the purchase amount. Larissa takes 65% of the normal purchase price and then computes 110% of the reduced price. Is Alfred correct? Is Larissa correct? Do they have enough money to purchase the book? Explain your answer using complete sentences and show your work.
Answer: See explanation
Step-by-step explanation:
The normal cost of the book plus the sales tax will be:
= $28.50 + ($28.50 × 10%)
= $28.50 + ($28.50 × 0.1)
= $28.50 + $2.85
= $31.35
Since there's a discount of 35%, the amount they'll have to pay will be:
= $31.35 - ($31.35 × 35%)
= $31.35 - ($31.35 × 0.35)
= $31.35 - $10.9725
= $20.3775
They do not have enough money to make the purchase.
Alfred takes 35% of $28.50 and subtracts that amount from the normal price. Alfred's calculation is shown below:
= $28.50 - (35% of $28.50)
= $28.50 - (0.35 × $28.50)
= $28.50 - $9.975
= $18.525
He takes 10% of the discounted selling price and adds it back to find the purchase amount. This will be:
= $18.525 + (10% × $18.525)
= $18.525 + $1.8525
= $20.3775
Alfred is correct
Larissa takes 65% of the normal purchase price and then computes 110% of the reduced price. This will be:
= 65% × $28.50
= 0.65 × $28.50
= $18.525
= 110% × $18.525
= 1.1 × $18.525
= $20.3775
Larisa is also correct
Length of a rectangle swimming pool is 50 yards and the width of the pool is 60 yards what is the approximate length of the diagonal of pool
Answer:
Approximately 78 yards
Step-by-step explanation:
From the question, I was able to deduce that the swimming pool is a cuboid because the length and width step different in yards. After sketching a cuboid, length= 60 yards, width= 50 yards, then draw a diagonal across the upper rectangle of the cuboid, to get the diagonal, use Pythagoras theorem, Hypotenuse²= opposite²+adjacent²;. x²=60²+50²=3600+2500=6100 ;.
x²=6100 therefore X=√6100 =78.1024 yards, but approximately 78yards, since the question instructed that answer should be approximated.
a scientist mixes water (containing no salt) with a solution that contains 30% salt. she wants to obtain 210 ounces of a mixture that is 5% salt. how many ounces of water and how many ounces of the 30% salt solution should she use?
Answer:
er n4356463
Step-by-step explanation:
help please!!! asap!!
Answer:
answer is opposite sides parallel and congruent theorem
PLS HELP ASAP!!!!!!!!!!!!!!
Answer:
okay, but with what should i help?
The table shows the number of wins and losses for four hockey teams.
Which two teams have the same ratio of wins to losses?
(pls help!)
Lightning and Thunder
Wolves and Eagles
Thunder and Wolves
Eagles and Lightning
Answer:
Thunder and Wolves
Step-by-step explanation:
If its right can I get Brainllest? Please
Tim bought a video game console and games for $350. The video game console cost $200. Each game cost $25. How many games did Tim purchase?
Answer:
Tim purchased 6 video games.
Step-by-step explanation:
Let's set the number of games Time purchased as x.
Due to each game costing $25, the total amount of money used on buying games would be ($25)x.
Hence, as the total amount of money used to buy both the console and the video games would be $350, the equation can be set as:
[tex]\$25x + \$200 = \$350[/tex]
[tex]\$25x = \$(350 - 200)[/tex]
[tex]x = \frac{\$150}{\$25}[/tex]
[tex]x = 6[/tex]
Therefore, Tim purchased 6 video games.
Hope this helped!
Martin is seating people in the cars of a roller coaster. Each car can seat 8 people. Six of the roller coaster cars are yellow and nine of the roller coaster cars are green. People will be randomly seated in the roller coaster cars. What is the probability that the first person will be seated in a yellow roller coaster car?
Answer:
The probability is 2/5
Step-by-step explanation:
Here, we want to calculate the probability that the first person will sit in a yellow roller coaster car
The number of cars to select from is 6 + 9 = 15 cars
The number of yellow cars is 6
So the probability that the first person selects a yellow roller coaster car to seat is 6/15 = 2/5
Help is this correct !!!??
Answer:
Yes
Step-by-step explanation:
Solve each equation.
X – 10 = 4
Math
Answer:
x=14
Step-by-step explanation:
Solving the equation x - 10 = 4, the value of x, which is the solution is calculated as x = 14.
How to Solve an Equation?Solving an equation simply involves determining the value of the variable in the equation, which is the unknown.
For example, we are asked to solve the equation, x - 10 = 4., what it simply means is that we need to determine what the value of x is in the equation that will make it true. Do the following:
x - 10 = 4
x - 10 + 10 = 4+ 10 [addition property of equality]
x = 14
Therefore, the solution of the equation is x = 14.
Learn more about equation on:
https://brainly.com/question/25678139
#SPJ6
I have finals next week and I’m stressing out-
Any advice?
Answer:
Hmmm.... well for one thing I would at least review a few things, just so you can feel a bit more confident in your work, then if that doesn't work you can review more or get your mind off stuff by going somewhere fun. SLEEP It's kinda hard yes but still staying up all night studying and worrying isn't going to do anything but make you sloppy. Make sure you are well fed before said test. Mainly just don't strain yourself too much because like I said before it'll make it harder in class.
I'm sure you've heard this before but yeah it works if you really take it to heart
I hope this helps! <3 even a little bit?
r/2=(r-4)/7 how do i solve this?
In a heard of x cattle, the ratio of the number of bulls to cows is 1:6. Find the number of bulls in the herd in terms of x.
Answer:1/6*x
Step-by-step explanation:
Answer:
1/6=x
Step-by-step explanation:
During what times is Ann driving the fastest? Give a reason to support your answer
Answer:
6 and 8 minutes
Step-by-step explanation:
The graph shows her speed as being the highest and the table backes it up. 40mph is her top speed
(-11/6) + m= -2/9
SOLVE FOR M
Answer:
29/18
Step-by-step explanation:
Add -11/6 to both sides of the equation
m=-2/9+11/6 = -4/18+33/18=29/18
CAN SOMEBODY PLEASE HELP ME NOW I AM IN A RUSH!!!!!!!!!!!!!!!!!!!
Which system of linear equations appears to have a solution of (3, 0)?
On a coordinate plane, 2 lines intersect at (0, negative 2).
On a coordinate plane, 2 lines intersect at (0, 1).
On a coordinate plane, 2 lines intersect at (3, 0).
On a coordinate plane, 2 lines intersect at (0, 3).
Answer:
i’m pretty sure it is 3 but i could be wrong
Step-by-step explanation:
Help me increase 91 by 3/7
Answer:
130
Step-by-step explanation:
First calculate 3/7 of 91
- 91 / 7 * 3 = 39
Then add your answer on to 91
- 91 + 39 = 130
Answer:
The answer is 130
Step-by-step explanation:
Hope this helped have an amazing day!
153-22.5=?????????????????????
Answer:
130.5
Step-by-step explanation:
Answer:
130.5
Step-by-step explanation:
if correct mark brainliest plz
What is the base area.
Answer:
Area of the base is 10.5 cm².
Step-by-step explanation:
Formula for the volume of the given oblique prism = Area of the triangular base × Vertical height between two triangular bases
Vertical height = 6 cm
Volume = 63 cm³
From the formula,
63 = Area of the triangular base × 6
Area of the base = [tex]\frac{63}{6}[/tex]
= 10.5 cm²
Therefore, area of the base is 10.5 cm².