Answers
Answer:
Step-by-step explanation:
Use SOH CAH TOA to recall how the trig functions fit on a triangle
SOH: Sin(Ф)= Opp / Hyp
CAH: Cos(Ф)= Adj / Hyp
TOA: Tan(Ф) = Opp / Adj
7)
now decide which parts we know and what we want to slove for and pick the function that has those in it
we also know that small angle down at the point b/c we can use that the inside of trianle angles add to 180
180 = 75 + 90 + X
15° = X
where x is the angle at that sharp point on the triangle
I want to use that 15° angle in one of the above formulas as it's Opposite of that side we want to know, and also adjcent to that side we know , so i'll pick TOA since it's got all of those in it. Opp = x for this triangle
Tan(15) = Opp / 15
15* Tan(15) = Opp
4.0192 = Opp
so that's x
x = 4.0162 units , what ever they are
8)
the angle is 43° and we know the adjacent side and we want the Hypotenuse , now i'll pic CAH since it's got those pieces in it
Cos(43)= 31 / Hyp
some algebra just to switch Hyp out of the denominator
Hyp = 31 / Cos(43)
some tapping on my calculator
Hyp = 41.714
That's x for the second triangle
x = 41.71 units , what ever they are
:)
Related Questions
what is the answer to this math question 5 less than c is 47
Answers
47+5
Hddhhfhdhd
Answer:
Answer = 52
5+47= 52
done
This Stem-and-Leaf Plot shows the number of minutes a group of students spent talking on the phone on a particular day. If 33 and 35 are added to the data, which statement will be true?
A. The median will change; the mode will stay the same.
B. The mode will change; the median will stay the same.
C. The median and the mode will both change.
D. The median and the mode will stay the same.
Answers
Answer: correct answer is a
Step-by-step explanation:
The triangle below is a right triangle. What is the length of the missing side? Round your answer to the nearest whole number? A. 8 in.B. 9 in.C. 12 in.D. 80 in.
Answers
Answer:
B=9in
Step-by-step explanation:
To find the solution to this problem we will use the Pythagoras theorem.
[tex]c = {a}^{2} + {b}^{2} \\ = \sqrt{ {8}^{2} + {4}^{2} } \\ = 8.944... \\ = 9[/tex]
Answer:
your answer would be 9 in.
Step-by-step explanation:
I hope this makes your day a bit easier!!
Find the balance
$375 at 4% interest compounded annually for 3 years
Answers
Answer:
3
Step-by-step explanation:
pay back in 1 year with 3% annual interest $375 at 4% interest annually for 3 years
Witch expression is not equivalent to -3x-1/2+4y
Answers
HEEEEELP please i need it
Answers
Answer:
Person 3 earns the most money every year
Step-by-step explanation:
Answer:
Person 3 makes the most money every year.
Step-by-step explanation:
Just analyze the graph. Options A and C can be easily eliminated. We're left with options B and D. We know it's going to be option D because person 3 can't make twice as much money as person 1, since person 1 made $9.00 and person 3 made $15.00.
María vende pescado en el mercado modelo ella le ha prestado dinero a Juan 800 soles con el 10% al mes Así mismo le ha prestado dinero a Juana la cantidad de 12000 soles con el 10% al mes cuánto ganará María por los dos préstamos al mes
Answers
Answer:
Creo que $1,280
Step-by-step explanation:
12,000+800=12,800
12,800 x 10% =1,280
Which of the following could not be a value for x?
Answers
Answer: its B or D
Step-by-step explanation: please tell if im wrong
what is the GCF of 12a and 16ab
Answers
Answer:
4a
Step-by-step explanation:
Greatest Common Factor is the largest number that the two terms can be divided by
The largest number that these could be divided by is 4a
12a/4a=3
16ab/4a=4b
4a(3+4b)
11. Which value makes the following inequality TRUE? 4 – 8x > 2 11
Answers
Answer:
If that number is 211, then any value below -26 will work
Burger Queen a popular fast food restaurant among college students has undertaken a study to determine the weights of the hamburgers served in its new location in San Marcos, TX. Half pounders should weigh at least 8 ounces. The weight is assumed to be normally distributed. A sample of 500 hamburgers reveals the average precooked weight to be 8.02 ounces, with a standard deviation of .4 ounce.
1. What is the probability that a hamburger selected at random will weigh between 7.76 and 8.02 ounces?
2. What is the probability that a hamburger selected at random with less than 7.52 ounces?
Answers
Answer:
1. 0.2422 = 24.22% probability that a hamburger selected at random will weigh between 7.76 and 8.02 ounces
2. 0.1056 = 10.56% probability that a hamburger selected at random with less than 7.52 ounces.
Step-by-step explanation:
Normal Probability Distribution:
Problems of normal distributions can be solved using the z-score formula.
In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the zscore of a measure X is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.
A sample of 500 hamburgers reveals the average precooked weight to be 8.02 ounces, with a standard deviation of .4 ounce.
This means that [tex]\mu = 8.02, \sigma = 0.4[/tex]
1. What is the probability that a hamburger selected at random will weigh between 7.76 and 8.02 ounces?
This is the pvalue of Z when X = 8.02 subtracted by the pvalue of Z when X = 7.76. So
X = 8.02
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{8.02 - 8.02}{0.4}[/tex]
[tex]Z = 0[/tex]
[tex]Z = 0[/tex] has a pvalue of 0.5
X = 7.76
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{7.76 - 8.02}{0.4}[/tex]
[tex]Z = -0.65[/tex]
[tex]Z = -0.65[/tex] has a pvalue of 0.2578
0.5 - 0.2578 = 0.2422
0.2422 = 24.22% probability that a hamburger selected at random will weigh between 7.76 and 8.02 ounces.
2. What is the probability that a hamburger selected at random with less than 7.52 ounces?
This is the pvalue of Z when X = 7.52. So
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{7.52 - 8.02}{0.4}[/tex]
[tex]Z = -1.25[/tex]
[tex]Z = -1.25[/tex] has a pvalue of 0.1056
0.1056 = 10.56% probability that a hamburger selected at random with less than 7.52 ounces.
HELP THIS IS DUE IN 10 MINUTES!!!!!! Which ratio defines te whenr represents radius, and d represents diameter?
22
d
27
d
2пт
Ο Ο.
2r
d
Answers
Answer:
2πr/d
Step-by-step explanation:
Circumference = 2πr
Pi = circumference/diameter
=2πr/d
A population of 250 wild turkeys decreases by 2.2% per year. At the end of 8 years, there will be approximately 209 turkeys in the population. Which function can be used to determine the number of turkeys, y, in this population at the end of t years?
Answers
Answer:
b
Step-by-step explanation:
Michael has $1,000.95 in his checking account. He is going to spend $472.87 on a new television, and he will spend the rest on speakers that cost $48.00 each. Which of the following inequalities would determine the maximum number of speakers, x, Michael can buy without spending more money than he has in his account?
A.
$1,000.95 < $48.00x + $1,000.95
B.
$472.87 + $48.00 + x < $1,000.95
C.
$48.00x + $472.87 < $1,000.95
D.
$1,000.95 + $472.87 > $48.00 + x
Answers
Answer:
C bc 48 is the cost of sneakers, x is the number of sneakers, that plus the tv has to be less than 1000.95
Find several points that are on the graph of the function y = x^2 + 1. Plot the points in a coordinate plane.
Is this a linear function? Explain.
Answers
Answer:
Below.
Step-by-step explanation:
Plot following points.
Calculate the point by plugging in values of x into x^2 + 1
for example When x = 0, y = 0^1 + 1 = 1.
So plot plot (0, 1),
Make a table of points to plot:
x -3 -2 -1 0 1 2 3
y 10 5 2 1 2 5 10
When you plot the points you'll see the graph is U shaped.
The function is of second degree (as it contains x^2) so it wont be linear.
Consecutive angles in a parallelogram
are
A. supplementary
B. convex
C. congruent
D. acute
E parallel
Answers
The consecutive angles in a parallelogram are supplementary
What is a Parallelogram?A parallelogram is a simple quadrilateral with two pairs of parallel sides. The opposite or facing sides of a parallelogram are of equal length and the opposite angles of a parallelogram are of equal measure
The sum of angles of a parallelogram is 360°
The four types are parallelograms, squares, rectangles, and rhombuses
Properties of Parallelogram
Opposite sides are parallel
Opposite sides are congruent
Opposite angles are congruent.
Same-Side interior angles (consecutive angles) are supplementary
Each diagonal of a parallelogram separates it into two congruent triangles
The diagonals of a parallelogram bisect each other
Given data ,
Let the parallelogram be represented as ABCD
Now , In a parallelogram, consecutive angles are always supplementary, which means the sum of two consecutive angles is always 180 degrees
This property holds true for all parallelograms
Hence , the consecutive angles are supplementary
To learn more about parallelogram click :
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In the isosceles trapezoid shown, GJ = 5, HI = 9, and GI = 8.6. Determine the length
of HJ.
Answers
Answer
8.6
Step-by-step explanation:
Answer:
8.6
Step-by-step explanation:I took the test
Wendy can solve a brain teaser in 15 minutes. When she works with Arby, they can solve in 5 minutes. Which statement is true
Answers
Answer:
Wheres the statements?
Step-by-step explanation:
Farmer Brown is tilling her field. Farmer Brown tills 2/3 of an acre in 2/7 of an hour. What is Farmer Brown's unit rate of tilling?
Answers
Answer:
2 1/3 acres per hour
Step-by-step explanation:
If you divide both numbers by 2, you get 1/3 and 1/7. If 7 makes up an hour, then you multiply 1/3 by 7, which gets you 2.333.. which is equivalent to 2 1/3.
HELP PLEASE THANK U
Answers
8 + 5 = 13 not 12
To make it similar, 8 needs to be 7. This is ONLY my guess, I’m not 100% confident in my answer
What is the vector sum of 7, 5 and 13, −5? 20, 0 20, 10 6, 0 6, 10
Answers
Answer:
{20, 0}.
Step-by-step explanation:
Pls HELP THANKS
A smaller number is 3 less than half a larger number. The larger number is 10 times 1 less than the smaller number.
Let x represent the smaller number, and let y represent the larger number. Which equations can be used to model the
situation? Check all that apply.
X equals 1/2 Y -3
2X minus Y equals -6
2X minus Y equals -3
X equals 1/2 ( Y -3)
Y equals 10 (X -1)
Answers
Answer:
Step-by-step explanation:
Factor: 3.x2 + 7x + 2
Answers
Answer:
x= -1/3 and -2
I have made it in above picture
In ΔEFG, the measure of ∠G=90°, the measure of ∠E=6°, and GE = 3.3 feet. Find the length of EF to the nearest tenth of a foot.
Answers
Answer:
EF = 3.3 ft
Step-by-step explanation:
cos 6 = 3.3/EF
0.9945 = 3.3/EF
EF = 3.32 ft
I WILL GIVE BRAINLIEST :)
A car repair shop charges an hourly rate plus a pickup and delivery fee. The graph below represents the relationship between the total cost of the repair, including pickup and delivery fee, and the number of hours it takes the shop to complete the repairs.
Answers
Answer: I got 50x+$75 but I’m not too sure for the last step
Step-by-step explanation:
Answer:
y=50x+75
Step-by-step explanation:
y=125=225-125 Divide 3-1 (x-1)
y-125=50(x-1)
y=50x-50+125
y=50x+75
Please help I need help
Answers
Answer:
3
Step-by-step explanation:
just get everything but the h to the other side
divide by b1 + b2
1/2h = A/b1 + b2
then multiply by 2
h = 2A/b1 + b2
If f(x)= 11 when f(x) = 5x-17, find x.
(Type an exact answer, using radicals as needed.)
Answers
Answer:
x = 28/5
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightEquality Properties
Multiplication Property of Equality Division Property of Equality Addition Property of Equality Subtraction Property of EqualityAlgebra I
FunctionsFunction NotationStep-by-step explanation:
Step 1: Define
f(x) = 5x - 17
f(x) = 11
Step 2: Solve for x
Substitute in f(x) [Function]: 11 = 5x - 17[Addition Property of Equality] Add 17 on both sides: 28 = 5x[Division Property of Equality] Divide 5 on both sides: 28/5 = xRewrite: x = 28/5640(3) + 6.25(40) + 8.75(60)
Answers
2695
Hope this helps you!
Work out the area of a rectangle with base, b = 22mm and perimeter, P = 50mm.
b
The diagram is not drawn to scale.
mm2
Answers
Answer: A=22^2
Step-by-step explanation: Hope this helps
Lena is asked to write an explicit formula for the graphed geometric sequence.
On a coordinate plane, 3 points are plotted. The points are (1, 1), (2, 2.5), (3, 6.25).
What value, written as a decimal, should Lena use as the common ratio?
1.0
1.5
2.5
2.0
Answers
Answer:
C
Step-by-step explanation:
I took the quiz and got it right
The common ratio of the geometric sequence is r = 2.5
What is Geometric Progression?A geometric progression is a sequence in which each term is derived by multiplying or dividing the preceding term by a fixed number called the common ratio.
The nth term of a GP is aₙ = arⁿ⁻¹
The general form of a GP is a, ar, ar2, ar3 and so on
Sum of first n terms of a GP is Sₙ = a(rⁿ-1) / ( r - 1 )
Given data ,
Let the terms of the GP be represented as A
Now , A = 1 , 2.5 , 6.25
where the common ratio = second term / first term
On simplifying , we get
r = 2.5 / 1
r = 2.5
Hence , the common ratio is r = 2.5
To learn more about geometric progression click :
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