Answer:
tan 72 = 6/x
OR
cos 72 = x/15
Step-by-step explanation:
A good way to remember trig ratios is this
SOH CAH TOA -
sin = opp/hyp
cos = adj/hyp
tan = opp/adj
You can find x in a few different ways.
If you did tangent, it would be
tan 72 = 6/x (because tangent is opposite over adjacent)
Or, there's also the pythagorean theorem...
(b) Given also that x> 1 and x is an integer.
Write down all the possible values of x.
Answer:
X can be any whole or natural number greater than 1 so like 2 could work too but no decimals or fractions or any other irrational numbers such as pi.
Step-by-step explanation:
Hope this works for you. :)
Answer:
Step-by-step explanation:
X greater than or equal to 2 for any positive integer
Help! I have no idea how to do t his. Pls help. Show your work too, thank you! Question in the picture.
Answer:
$87.50
Step-by-step explanation:
To answer this question, you make use of the formula for simple interest:
I = Prt
This is the interest I on principal amount P at annual rate r for t years.
You have P = $3500, r = 0.025, t = 1, so the interest is ...
I = $3500×0.025×1 = $87.50
You would receive $87.50 in interest on your savings account.
_____
Additional comment
Many calculators, and all spreadsheets, can use a percentage number directly in the calculation. If yours can't, then you must convert the percentage to a decimal fraction. You can think of the "%" symbol as equivalent to "/100" or "×0.01". The decimal equivalent of 2.5% is 2.5/100 or 2.5×0.01 = 0.025.
__
We have assumed the account earns simple interest, because there is no mention of interest compounding, or of a monthly accounting. In many real-life savings accounts, the interest is computed each month and added to the balance. The computation for the following month includes interest on the interest earned previously. We say the interest is compounded in that case. The formula for compound interest is different from the one shown here.
Leonardo da Vinci's portrait the Mona Lisa is
2 feet 6 inches long and 1 ft 9 inches wide.
Janelle has a refrigerator magnet of the
painting that is 3.5 cm wide. What is the
length of the magnet?
Answer:
the length of the magnet is 5cm
Step-by-step explanation:
first convert the feet into inches: 2ft 6in=30in, 1ft 9in=21in
then convert inches into centimeters (times by 2.5): 30*2.5=75cm 21*2.5=52.5
then divide 52.5 by 3.5 to get a proportion: 52.5/3.5=15
then divide 75 by 15: 75/15=5cm
If -2 is a zero of P(x) = 2x²- 3x( 5k+4) then k = ____.
Brainly Challange for high level user.
Answer:
k = - [tex]\frac{16}{15}[/tex]
Step-by-step explanation:
Since x = - 2 is a zero , then p(- 2) = 0 , that is
2(- 2)² - 3(- 2)(5k + 4) = 0
2(4) + 6(5k + 4) = 0 ← distribute parenthesis
8 + 30k + 24 = 0
30k + 32 = 0 ( subtract 32 from both sides )
30k = - 32 ( divide both sides by 30 )
k = [tex]\frac{-32}{30}[/tex] = - [tex]\frac{16}{15}[/tex]
Given Polynomial P(x) = 2x^2-3x(5k+4)
Zero = -2
We know that
If -2 is zero of the Polynomial then it satisfies the given Polynomial
⇛P(-2) = 0
⇛ 2(-2)^2-3(-2)(5k+4)=0
⇛ 2(4)+6(5k+4) = 0
⇛ 8+30k+24 = 0
⇛ 30k+32 = 0
⇛ 30 k = -32
⇛ k = -32/30
⇛ k = -16/15
Answer:- The value of k = -16/15.
Read more:
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The video suggests you consider these 4 things before deciding to take out a loan: Is it necessary? Do the monthly payments fit in your budget? Could you save instead of borrow? Is it worth the added interest?
1. If you were trying to decide whether to take out an auto loan for $6500 to buy your first car, thereby allowing you to commute for an impressive summer internship program next year, would that loan meet the requirements?
Answer:
The requirements for taking out a loan tend to be very strict, and therefore, an impressive internship program would not be something that can meet the requirements to obtain a loan of $6500.
Step-by-step explanation:
1. If you were trying to decide whether to take out an auto loan for $6500 to buy your first car, thereby allowing you to commute for an impressive summer internship program next year, that loan would not meet the requirements.
Is it necessary?
No, travelling can be done by other means.
Do the monthly payments fit in your budget?
Maybe
Could you save instead of borrow?
Yes saving for the whole year is better than borrow.
Is it worth the added interest?
No, its not worth the added interest.
All of the answers indicate that the loan does not meet the requirements.
Paying a huge amount of interest for something which is not that necessary is useless.
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Determine whether the point (2, -3) is on the graph of each equation-
1) 4x + y= 11
2) 10x - 4y = 23
Answer:
1. Solving for x. Want to solve for y instead?
1 Subtract yy from both sides.
4x=11-y
4x=11−y
2 Divide both sides by 44.
x=\frac{11-y}{4}
x=
4
11−y
A Web site charges $0.99 to download a game and a $12.49 membership fee. Write an expression that gives the
total cost in dollars to download g games. Then find the cost of downloading 6 games.
Answer:
Part A (Equation): C(g) = 0.99g + 12.49
Part B: Total cost of 6 games = $18.43
Step-by-step explanation:
Given the $0.99 charge to download a game, and a membership fee of $12.49:
Part A: Find the Equation of Total Cost, C, and Number of Games (g)A cost function (or equation) that represents the total cost (C ), in dollars, to download g number of games is:
C(g) = 0.99g + 12.49
where:
0.99 (cost per downloaded game) = represents the rate of change (or slope). This means that the total cost increases by $0.99 for every game that is dowloaded. 12.49 (membership fee) = the initial value or flat fee (y-intercept). Part B: Find the cost of downloading 6 games:To find the cost of downloading 6 games C(6), substitute the value of g = 6 into the equation:
C(g) = 0.99g + 12.49
C(6) = 0.99(6) + 12.49
C(6) = 5.94 + 12.49
C(6) = 18.43
Therefore, it costs $18.43 to download 6 games.
Easy question for some points 2x2-6+4
Answer:
2
Step-by-step explanation:
2 x 2 - 6 + 4
4 - 6 +4
4 - 2
2
8. The temperature on Monday was -5.4 degrees
Celsius. The temperature on Tuesday was 2.6
degrees less than the temperature on Monday.
What was the temperature on Tuesday?
Answer: -4.1 degrees celsius
Step-by-step explanation:
Start at -1.5 on the number line. Then move 2.6 units to the left to arrive at -4.1
Or you can compute -1.5 - 2.6 = -4.1 to get the same result. When we subtract a number from a negative, you are effectively adding the two values and making the final result negative. So, 1.5+2.6 = 4.1 which turns into -4.1
Work out the percentage change to 2 decimal places when a price of £198 is increased to £209.99.
Answer:
6.06%
Step-by-step explanation:
198 + 6.06%=209.9988
A baseball diamond is a square with 90 foot sides. If the catcher is standing on home plate, what is the approximate distance to throw out a player headed to second base?
help!!
============================================================
Explanation:
Draw a straight line from home plate to second base. Two right triangles form. Each triangle has both legs equal to 90 ft. The hypotenuse is what we're after. We'll use the pythagorean theorem to find it.
[tex]a^2 + b^2 = c^2\\\\c = \sqrt{a^2 + b^2}\\\\c = \sqrt{90^2 + 90^2}\\\\c = \sqrt{16200}\\\\c \approx 127.27922\\\\c \approx \boldsymbol{127.3}\\\\[/tex]
It's approximately 127.3 feet from home plate to second base. This is a straight line distance. Any curved path the ball takes will travel a slightly longer distance; however, we only consider the straight line distance for the sake of simplicity.
solve pls brainliest
Answer:
$6.75
Step-by-step explanation:
try try serving it's ok glad to help
Naomi's square bedroom
has an area of 90 square feet. What is
the length of one of the walls? Round to the nearest tenth if
necessary. ( The answer is 9.5 but how to you get there ?)
Think of a number, that when multiplied with itself, will get you 90.
We could try something like 7. So 7*7 = 49, but it's too small.
How about 10? Well we get 10*10 = 100 which is too big. The answer is between 7 and 10.
Let's try 8. So we get 8*8 = 64 which is too small.
This process is repeated until you determine that the answer is somewhere between 9 and 10
9*9 = 81
10*10 = 100
----------------
From here, we can try 9.5 since it's right between 9 and 10
9.5*9.5 = 90.25
close but not quite there. It's a bit too large. So the actual value is somewhat smaller than 9.5
Let's try 9.4
9.4*9.4 = 88.36
That seems even worse off compared to 90.25, so 9.5 is the better answer.
-----------------
As a shortcut, you can use the square root on your calculator
[tex]\sqrt{90} \approx 9.4868 \approx 9.5[/tex]
According to the scatterplot, what would you predict would be the crime index for a city with a population of 220,000? A. 450 B. 465 C. 500 D. 550
Answer:
Step-by-step explanation:
500
Simplify the following surd expressions
a) 9V3 -4V3 + V5 + 2V5
b) 10V2 + 4V7 - 6V2
a.9v3-4v3+v5+2v5
=5v3+v3+2v5
=5v3+3v5
b.10v2+4v2+6v2
=4v2+4v7
True or false: When testing the difference between two population means it is unlikely that one would know the value of the population variances.
I need help
(No link please)
Answer:
the formula for finding the perimeter of a rectangle is P=2L+2W
an example of how to find the perimeter is
Explanation:
For a rectangle, its perimeter is the sum of all for sides.
The rectangle has a perimeter of 54. Find the lengths of the unknown side. That is, find S.
54=20+20+S+S
Simplify
54=40+2S
Solve for S
14=2S
S=7
Step-by-step explanation:
5/7 of a number is 55
work out the number.
please help with this question
Answer:
77
Step-by-step explanation:
Hope this helps..
Good luck.
What is the point slope and slope intercept of this graph below
Answer:
Line is y = -3x + 3
Slope = -3
y-intercept = 3
Step-by-step explanation:
Slope is the movement up or down, and left or right. Y-intercept is the point in which the line crosses the y-axis. In slope-intercept form (y=mx+b), m represents the slope, while b represents the y-intercept.
So since the line crosses the y-axis at positive 3, that will be the y-intercept. Now if we go from that very same point, and do rise/run, we'd move downwards 3 units and to the right 1 unit, to get our slope of -3/1 (it's written as just -3 though).
So now we plug it in: y = -3x + 3
Hope this helps you :)
4) The original value of a painting is $9,000 and the value increases by 7% each year. In what year,
will the painting be worth $50,000? Show all work.
Answer:
The year will be 5 years from the starting year
Step-by-step explanation:
because if you add 7% by 9,000 until you get 50,000 just count how many times you added
Sort the expressions into the correct categories based on their value. Note that some expressions may not belong to any of the categories.
(help with the circled ones)
Answer:
the answer for (9squared divided by 3) - ( 3 x 5 ) = 12
Step-by-step explanation:
(9squared divided by 3) - ( 3 x 5 ) = 12
9x9 = 81
81 ÷ 3 = 27
27 - (3x5)
3 x 5 = 15
27 - 15 = 12
so it goes in the 12 box
4squared - ( 2 x 3 )
4squared = 4 x 4
4 x 4 = 16
16 - (2 x 3)
2 x 3 = 6
16 - 6 = 10
so it goes in the 10 box
Simplify: (13/11)x(-14/5)+(13/11)x(-7/5)+(-13/11)x(34/5)
Thankyou
Answer:
In this I have answered this problem.
how many times can 14 go into 97
Answer:
6 time
Step-by-step explanation:
97÷14=6•928
=6 or round it up to 7
Answer:
6
Step-by-step explanation:
97÷14=6.928
6 or round it up to 7
Fill in the blanks with one of the following symbols ∈, ∉, ⊆,
⊆, ⊂, or ⊄ to make each statement true.
6 ______{f, g. h, i,j, k, l}
DIRECTIONS: Use this information to answer Parts A and B.
Home sold for $286,000. The amount the homeowner received, before taxes and closing costs, was the selling price minus the commission to the real estate agent, which was 6%.
Question 1
Part A
How much commission did the real estate agent earn on the sale?
Part B
How do you know your answer is reasonable?
Answer:
268,840
Step-by-step explanation:
286,000 x 6% commission= 17,160. you then subtract this commission from the sold price of 286000=$17160
I NEED HELP WITH ANOTHER ONE FIND THE MEASURE OF X
Answer:
x ≈ 3.2
Step-by-step explanation:
Using the cosine ratio in the right triangle
cos29° = [tex]\frac{adjacent}{hypotenuse}[/tex] = [tex]\frac{x}{3.7}[/tex] ( multiply both sides by 3.7 )
3.7 × cos29° = x , then
x ≈ 3.2 ( to the nearest tenth )
Answer:
3.2
Step-by-step explanation:
we have two angles, 29 and 90.
we need one more angle to make the total sum of the angles 180.
the angle to do this is 61.
the area of this triangle so far is 2.90244.
using the area, we can find that the x side is 3.23609.
round 3.23609 to the tenth, we get 3.2
HELP ALSO CHECK OUT MY OTHER QUESTION THERE BOTH 20 POINTS!!!
jonathan needs 3 5/8 yards of blue material and 6 3/4 yards of red material. how many yard does he need in all.
A. 9 2/3
B. 9 3/8
C. 10 2/3
D. 10 3/8
Answer:
D. 10 3/8
Step-by-step explanation:
First make them into a improper fraction
[tex]\frac{29}{8} +\frac{27}{4}[/tex]
Find the lowest common denominator:
[tex]\frac{29}{8} +\frac{27*2}{4*2}[/tex]
Multiply the denominators:
[tex]\frac{29}{8} +\frac{27*2}{8}[/tex]
Multiply the numerators:
[tex]\frac{29}{8} +\frac{54}{8}[/tex]
Combine the fractions:
[tex]\frac{(29+54)}{8}[/tex]
Combine the numerators:
[tex]\frac{83}{8}[/tex]
=
[tex]10\frac{3}{8}[/tex]
Hence, D. 10 3/8 is the Correct answer.
Youssef paid AED 8 for 12 eggs.
Determine the cost of 3 eggs.
To solve this problem, you must first know how much 1 egg costs, for this we have to divide:
[tex]\begin{matrix}\space\space\space\space\space\space\emptyspace \sf 1,5\space\space\space\space\space\space\space\space\space\space\space\space\\ \sf 8\overline{|\smallspace \sf 12}\space\space\space\space\space\space\space\space\space\space\space\space\end{matrix}\\\underline{\sf 8}\\\sf 40\\\underline{\sf 40}\\(0)[/tex]
Now we know an egg costs $1.5, so:[tex]\sf 1,\:5\:+1,\:5+1,\:5=\boxed{\sf 4,5}\ll Eggs[/tex]
Okay?!Answer:
AED 2 for 3 eggs
Step-by-step explanation:
Price (p) is proportional to the number of eggs:
p/3 = 8/12
p = 3(8/12) = 8(3/12) = 8/4 = 2
The cost of 1/4 as many eggs will be 1/4 as much: AED 2 for 3 eggs.
PLS help im stuck i dont understand how to do the problem
1 A function is represented by the following set of
ordered pairs.
{(-3,-13), (0, -7), (3, -1), (6,5)}
Which equation represents the function?
A y = 3x - 7
B y = 6x - 7
c y=2x - 7
Dy=2x-7
Answer:
C. y = 2x -7
Step-by-step explanation:
You can use any pair of points to find the slope. Use the slope formula:
m = (y2 -y1)/(x2 -x1)
m = (-7 -(-13))/(0 -(-3)) = 6/3 = 2
This is the coefficient of x in the slope-intercept form ...
y = mx +b
The second point (0, -7) tells you that b = -7, so the equation is
y = 2x -7 . . . . matches C
1 A function is represented by the following set of ordered pairs. {(-3,-13), (0, -7), (3, -1), (6,5)}
Which equation represents the function?
A y = 3x - 7B y = 6x - 7c y=2x - 7Dy=2x-7Therefore the answer i letter D.
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