Answer/Step-by-step explanation:
Recall the acronym SOHCAHTOA. This is what we would apply as appropriate in each case.
8. θ = 40°
Opp = m
Adj = 20
Thus, apply TOA
Tan (θ) = opp/adj
Plug in the values
Tan (40) = m/20 (equation)
20×Tan(40) = m
m = 16.7820
9. θ = 22°
Hyp = w
Adj = 18
Thus, apply CAH
Cos (θ) = adj/hyp
Plug in the values
Cos 22 = 18/w (equation)
w×cos 22 = 18
w = 18/(cos 22)
w = 19.4136
10. θ = 35°
Hyp = 55
Opp = x
Thus, apply SOH
Sin θ = opp/hyp
Plug in the values
Sin 35 = x/55 (equation)
55×sin 35 = x
x = 31.5467
11. θ = 33°
Hyp = 19
Adj = x
Thus, apply CAH
Cos θ = adj/hyp
Plug in the values
Cos 33 = x/19 (equation)
19×cos 33 = x
x = 15.9347
12. θ = 17°
Opp = 7
Hyp = x
Thus, apply SOH
Sin θ = opp/hyp
Plug in the values
Sin 17 = 7/x (equation)
x×sin 17 = 7
x = 7/(sin 17)
x = 23.9421
13. θ = 40°
Opp = 15
Adj = x
Thus, apply TOA
Tan θ = opp/adj
Plug in the values
Tan 40 = 15/x (equation)
x×Tan 40 = 15
x = 15/(Tan 40)
x = 17.8763
Andrew had a balance of $263.72 in his checking account. He had deposits to his account of $24.85, $131.63, and $58.29. He had withdrawals to his account of $74.25 and $25.00. What is the new balance in Andrew’s account? WHOEVER ANSWERS FIRST GETS BRAINLIESt
Answer:
$379.24
Step-by-step explanation:
263.72+24.85+131.63+58.29=478.49
478.49-74.25-25=379.24
Hope this helped :)
Plz mark as Brainliest :)
PYTHAGOREAN THEORM PLEASE HELP ME
Would the three squares below join together to make a right triangle? Why or why not? picture shows squares
Answer:
Yes.
The first has an area of 9, so each side is three.
The second has an area of 16, so each side is four.
Each side of the third square is given as 5.
So the triangle has sides of 3, 4, and 5.
3²+4²=5²
9+16=25
25=25 It works given the Pythagorean theorem.
Step-by-step explanation:
Yes.
The first has an area of 9, so each side is three.
The second has an area of 16, so each side is four.
Each side of the third square is given as 5.
So the triangle has sides of 3, 4, and 5.
3²+4²=5²
9+16=25
25=25 It works given the Pythagorean theorem.
How can systems of linear equations be used in real life?
Answer:
Almost any situation where there is an unknown quantity can be represented by a linear equation, like figuring out income over time, calculating mileage rates, or predicting profit. Many people use linear equations every day, even if they do the calculations in their head without drawing a line graph.
Step-by-step explanation:
Hope it is helpful....
please this is a quizzzz
Answer:
QR and ST
Explanation:its right
use a calculator to evaluate the formula for x equals 639 round to the nearest hundredth if needed
P=0.23x+87
we believe that 81% of the population of all business statistics students consider to be an exciting subject
Answer:
yes
Step-by-step explanation:
Solve 47-x^2=-2 plz I will give Brainlyest plz do lol
answer and explanation are in the picture.
-2+{3+[4+2-(-3)]-5+8)}
Answer:
13
Step-by-step explanation:
−2+3+4+2−(−3)−5+8
=1+4+2−(−3)−5+8
=1+6−(−3)−5+8
=1+9−5+8
=10−5+8
=5+8
=13
Preston drove 115 miles and used up 6
gallons of gas. How many milea can he
drive with 14 gallons of gas?
Hurrry please
Answer:
269gallons
Step-by-step explanation:
115/6=19.16
19.16*14=268.33 or round up to 269
f(6)
A. 2
B. -2
C. 11
D. -11
How do flowers contribute to the survival of the plant?
A. They are needed to absorb water.
B. They are needed to make food.
C. They are needed for reproduction.
D. They are needed to create energy.
Answer: c
Step-by-step explanation:
A plant's ability to reproduce and contribute to the survival of its own species is assured when flowering occurs at the right point in time. If flowering starts too early, the result may be a poor crop of biomass as well as fruit.
Please help will give brainleist
Answer:
[tex]7\frac{1}{2}[/tex] square feet
Step-by-step explanation:
2 * [tex]3\frac{3}{4}[/tex] = 2 * 15/4 = 15/2 = [tex]7\frac{1}{2}[/tex] square feet
help i don’t know the answer
Answer:
All sides are answered as 7. All of them are 7.
Step-by-step explanation:
An equilateral triangle means all sides are the same.
answer this fast plllsss tyyy
Answer:
6 curtains can be made
Step-by-step explanation:
so your dividing by a fraction so you want to convert all numbers into fractions
4/1 divided by 2/3
an easier way to divide fractions is to flip the right one over
2/3->3/2
then multiply
4/1 x 3/2 = 12/2 = 6
hope this helps have a blessed day
Answer:
6 curtains
Step-by-step explanation:
to figure out how many curtains she can make, we have to divide 4 by [tex]\frac{2}{3}[/tex].
[tex]\frac{4}{2/3}[/tex]
However, whenever you divide with fractions, you have to multiply by the reciprocal of the fraction.
[tex]\frac{4}{2/3}[/tex] ⇒ [tex]\frac{4}{1}[/tex] × [tex]\frac{3}{2} = \frac{12}{2} =6[/tex]
plz mark me brainliest. :)
Dominic is going to attend a baseball game on Saturday afternoon. He has a total of $40 he can spend. The ticket cost is $22, and the parking cost is $7. He intends to spend his remaining money on team window decals that cost $4.50 each. What is the greatest number of decals Dominic can buy? A 2 decals B 3 decals C 4 decals D 5 decals
Answer: A. 2 Decals
Step-by-step explanation: time4learning
The requried Dominic can buy a maximum of 2 decals.
What is simplification?Simplification involves applying rules of arithmetic and algebra to remove unnecessary terms, factors, or operations from an expression. The goal is to obtain an expression that is easier to work with, manipulate, or solve.
Dominic has $40 to spend, and he will spend $22 for the ticket and $7 for the parking. So, he will have:
$40 - $22 - $7 = $11
left to spend on team window decals.
Each decal costs $4.50, so we can divide the amount Dominic has left by the cost of each decal to find the maximum number of decals he can buy:
$11 ÷ $4.50 ≈ 2.44
Since we can't buy a fraction of a decal, we need to round down to the nearest whole number. So, Dominic can buy a maximum of 2 decals.
Therefore, the answer is A, 2 decals.
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An auto dealer buys a truck at a cost of $15,800 and sells it to consumers at a price of $33,970. Find the amount of the markup, and the percent markup based on the selling price. Round to the nearest tenth percent.
Answer:
i dont know how to help you:(
1/2a - 6 = 3 + a solve for a plssss
Please help me with this question please help me I beg you
Step-by-step explanation:
Given
f(x) = 5 / 2x - 1
f^-1( x) = ?
Let
y = f(x)
y = 5/2x - 1
Interchanging the roles of x and y we get
x = 5/2y - 1
2y - 1 = 5/x
2y = 5/x - 1
y = (5/x - 1)/ 2
f^-1(x) = ( 5/x - 1) / 2
Hope it will help :)
10 laps around track each day. Each lap around the track is 400 meters. How many day will take kali to run a total 12 kilometers
Answer:
3 days
Step-by-step explanation:
First, let's convert 400 meters to km (kilometers):
To find km from m we divide the meters by 1000:
400/1000 = 0.4
Therefore, there are 0.4 km in 1 meter.
Kali runs 10 laps every day, since 1 lap is 0.4 km we can multiply 10 by 0.4 to see how many kilometers they run in 1 day:
(10)(0.4) = 4
Kali runs 4 kilometers every day
Now, we can find how long it will take Kali to run a total of 12 kilometers by dividing 12 by 4
12/4 = 3
It will take Kali 3 days to run a total of 12 kilometers.
I hope this helps!!
- Kay :)
Hello, happy Friday, I am just here with some geometry questions.
Please only answer this if you know the answer. If you have a comment, please add it to the comment box. Only answer the question if you can explain your answer and why you think it is accurate. Thanks, good luck!
Graph [tex]D_{0.5}[/tex] (ΔXYZ)
Answer:
Given triangle:
ΔXYZX(-1,2), Y(2,1), Z(-1, -2)D₀.₅(ΔXYZ) results in:
(x, y) → (0.5x, 0.5y)X'(-0.5, 1), Y'(1, 0.5), Z(-0.5, -1)Enter the value for the variable x in the equation:
X - 7 = 3
Answer:
x=10
Step-by-step explanation:
10-7=3
Answer:
I think is 10 cause 10 - 7 = 3
a biologist analyzes 15 bacteria samples each day a. complete the table
Answer:
Day 1=15 Day 2=30 Day 3=45 Day 4= 60 Day 5= 75. The expression is N+15
Step-by-step explanation:
The complete table:
Days 1 2 3 4 5
Total samples 15 30 45 60 75
What is an expression?An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.
Example: 2 + 3x + 4y = 7 is an expression.
We have,
Number of bacteria samples analyze each day = 15
The equation for the number of bacteria analyzes after x days.
B = 15x
Now,
x = 1, B = 15
x = 2, B = 30
x = 3, B = 45
x = 4, B = 60
x = 5, B = 75
Thus,
Days 1 2 3 4 5
Total samples 15 30 45 60 75
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Makayla leaves a tip of $15. This was 15% of the bill before the tip.
How much was Makayla's bill before the tip?
Answer:
100
Step-by-step explanation:
both the percentage and the money have the same number, and there's always 100% so it'd be 100 before the tip
Answer:
$100.00
Step-by-step explanation:
Please see attachment for the solution. The calculations are executed in black ink. The justification was executed in green ink. The solution is highlighted in blue.
~~
Thank you!
hich statement best describes a graph of paired points that form a proportional relationship?
Answer:
A. A straight line can be drawn through all the points and the line passes through the point (0,0) .
Step-by-step explanation:
See comment for options
Given
A graph with proportional relationship
Required
Which of options (a to d) describes the graph
A graph with a proportional relationship is represented as:
[tex]y = kx[/tex] and
[tex](x,y) = (0,0)[/tex] is a paired point on the graph
This implies that options (b) and (c) are not true
Option (d) is also incorrect because if the graph does not pass through all points, then it is not proportional.
Hence, (a) is correct
HELLLLP MEEEE!
Liana bought a bike for $120. Three years later, she sold it for $96. By what percent did the value of the bike decrease?
A. 12.5%
B. 20.0%
C. 24%
D. 80.0%
I'm supposed to write out an algebraic equation, and then solve the equation. If you can help me, with work shown, you'll get voted Brainliest.
Find three consecutive even integers such that four times
the first minus the third is six more than twice the second.
Answer:
simple just follow me and mark it brainliest
Step-by-step explanation:
LET THE THREE CONSECUTIVE EVEN INTEGERS BE
(x+2) ,(x+4) ,(x+6)
then
according to the question
4(x+2) – (x+6) = 2(x+4) + 6
4x + 8 – x – 6= 2x + 8+6
3x +2 = 2x + 14
3x – 2x= 14 –2
x= 12
the numbers are
14
16
18
Answer:
The three numbers are 14, 16, 18.
Step-by-step explanation:
Consecutive even integers differ by 2.
You can let the smallest of the three numbers equal x. Then the other two numbers are x + 2 and x + 4.
Now use x, x + 2,and x + 4 to represent the 3 numbers and follow the directions to write an equation. The equation will have only one variable, x, so you can solve for x.
"four times the first" -----> 4x
"minus the third" -------> -(x + 4)
"is" -----> =
"six more than twice the second" ------> 2(x + 2) + 6
Put all the pieces in boldface together to arrive at your equation.
4x - (x + 4) = 2(x + 2) + 6
Simplify the parentheses on both sides by distributing.
4x - x - 4 = 2x + 4 + 6
Combine like terms on both sides.
3x - 4 = 2x + 10
Subtract 2x from both sides.
x - 4 = 10
Add 4 to both sides.
x = 14
The smallest number is 14.
x + 2 = 14 + 2 = 16
x + 4 = 14 + 4 = 18
Answer: The three numbers are 14, 16, 18.
Which expression are equivalent to 3p + 15? choose ALL THAT APPLY
A) 3(p + 5)
B) 2p - p + 15
C) 7p - 4p + 15
D) 3(p + 15)
Answer:
A and C
Step-by-step explanation:
The equivalent expressions are:
3(p + 5) and 7p - 4p + 15
Options A and C are the correct answer.
What is an expression?An expression contains one or more terms with addition, subtraction, multiplication, and division.
We always combine the like terms in an expression when we simplify.
We also keep all the like terms on one side of the expression if we are dealing with two sides of an expression.
Example:
1 + 3x + 4y = 7 is an expression.
3 + 4 is an expression.
2 x 4 + 6 x 7 – 9 is an expression.
33 + 77 – 88 is an expression.
We have,
3p + 15
Taking out common factors.
3 (p + 5) ____(1)
And,
7p - 4p + 15
3p + 15
3(p + 5) _____(2)
From (1) and (2),
3(p + 5) and 7p - 4p + 15 are equivalent expression.
Thus,
The equivalent expressions are:
3(p + 5) and 7p - 4p + 15
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Tark each location described.
1) Mark the location of
of 6/3
Answer: Chet aero marine
Step-by-step explanation: (this is the only thing I will say and warn this) The contents of the report reflects the views of the authors who are responsible for the fact of the accuracy of the data presented herein. Although the contents do not necessarily reflect policy of the department of transportation. This report does not constitute a standard, specification, or regulation. The united states government does not endorse products or manufacturers. Trade or manufacturer's names appear herein only because they are considered essential to the object of the document. :I hope this helps have a uwu or great day! ✍(◔◡◔)
7/8 - 1/12 its a math question
Answer:
19/24 = 0.791666667
Step-by-step explanation:
7/8 - 1/12
Least common multiple of 8 and 12 is 24. Convert 7/8 and 1/12 to fractions with denominator 24.
21/24 - 2/24
Since 21/24 and 2/24 have the same denominator, subtract them by subtracting their numerators.
21 - 2 / 24
Subtract 2 from 21 to get 19.
19/24
Use the distributive property to rewrite the expression in factored form.
15g−40
Answer:
5(3g-8)
Step-by-step explanation:
Answer:
5(3g-8)
Step-by-step explanation:
First find the greatest common factor of 15 and 40
It is 5 so 15/5 =3 40/5= 8
5(3g-8)