Use the Law of Sines to find mZE.
Round to the nearest degree.
D
30 mi
18 mi
78°
F
E
Answers
Answer:
Step-by-step explanation:
recall law of Sines : Sin(A) / a = Sin(B) / b
where F can be A, in above equation, and then a = 30
we want to find E so that can be B, and b = 18
Sin(78) / 30 = Sin(B) / 18
solve the parts you can
0.03260 = Sin(B) / 18
18 * 0.03260 = Sin(B)
0.5868885 = Sin(B)
use arcSin() to find angle of B
arcSin(0.586885) = arcSin( Sin(B)) [ b/c arcSin is the inverse of Sin those go away, they cancel each other out ]
35.9365 = B
36° = B ( and B = E in the given triangle )
∠E = 36°
Related Questions
Jose has $400 in the bank. Each week, he saves $130. He wants to know when he will have at least $1000
Answers
Answer:
Do 400 x 130 then whatever you get divide it by 1000
Step-by-step explanation:
Answer:
In at least 5 weeks, Jose will have at least 1000$
Step-by-step explanation:
Hope this helps!!!
In AMNO, the measure of Z0=90°, the measure of ZN=38°, and OM = 87 feet. Find
the length of NO to the nearest tenth of a foot.
N
38
X
M
87
Answers
Answer:
30.4
Step-by-step explanation:
For the triangle shown, find sec x
Answers
Sine = opposite/hypotenuse
Cosine = adjacent/hypotenuse
Tangent = opposite/adjacent
You have three other trig functions: secant, cosecant, and cotangent.
Cosecant = hypotenuse/opposite
Secant = hypotenuse/adjacent
Cotangent = adjacent/opposite
The way I’ve always remembered these is the 3 other trig functions are sine, cosine, and tangent flipped. Sine’s opposite is cosecant. Cosines opposite is secant, and tangents opposite is cotangent.
If you notice, each of these functions has a word starting with co-, and a word starting without co-. That’s how I’ve always remembered that sine goes to cosecant and cosine goes to secant.
Now that we know secant (or sec for short) x = hypotenuse/adjacent, you can find it.
First, find the hypotenuse of the triangle. Use Pythagorean’s theorem to do this.
a^2 + b^2 = c^2
5^2 + 7^2 = c^2
25 + 49 = c^2
c^2 = 74
c = √74
Now plug the values for hypotenuse and adjacent into sec(x)
sec(x) = √74/7
Answer:
Step-by-step explanation:
Using the Pythagorean Theorem, (7)2 + (5)2 = c2 ⇒ c = 72
.
Since x = 1 /cos x = hypotenuse /adjacent , then sec x = √ 74/7
What is the 18th term in this sequence?
5. 11, 17, 23. ...
Answers
5,11,17,23,29,35,41,47,53,59,65,71,78,84,90,96,101,108
108 is the 18th term
Define the following vocabulary words
A.Factor
B.Variable
C.Product
D.Coefficient
Answers
Answer:
c
Step-by-step explanation:
Answer:
A factor is a circumstance or action that will/would influence an outcome.
A variable is something that is liable to change or something that isn't temporary.
A product is a result of an action or a process.
Coefficient means a quantity is being multiplied by the variable, for instance:
4 (the coefficient) X (the variable) - (the operator) 7 (the constant) = 5 (the constant)
What that looks like is: 4x-7=5.
What are the coordinates of the vertex of the parabola?
Answers
Answer:
A
Step-by-step explanation:
f(x) = a(x – h)^2 + k
Vertex (h, k)
according to the equation h= -3 k= -8
25% of what is 84? help me and my other questions, please.
Answers
Answer:
25% of 84 = 21
Step-by-step explanation:
Grace earns $7 for each car she washes. She always saves $29 of her weekly earnings. This week, she wants to have at least $58 in spending money. How many cars must she wash? Enter and solve an inequality to represent this situation.
SOMEONE PLEASE HELP!!!!!!!!
Answers
In order to figure out how many cars she must wash, first you should figure out how much money total you need. This week, she needs $25 for her weekly earnings + $65 for spending money = $90. Then you divide the total amount of money, $90, by 7. The answer is 12.8, but because you can't wash 12.8 cars, the answer is 13.
The work of a student to solve the equation 2(3x − 4) = 8 + 2x + 4 is shown below: Step 1: 2(3x − 4) = 8 + 2x + 4 Step 2: 5x − 6 = 12 + 2x Step 3: 5x − 2x = 12 + 6 Step 4: 3x = 18 Step 5: x = 6 In which step did the student first make an error and what is the correct step? (5 points) Step 2; 6x − 6 = 2(6 + x + 2) Step 2; 6x − 8 = 12 + 2x Step 3; 5x − 2x = 12 − 6 Step 3; 5x + 2x = 12 + 6
Answers
Answer:
B: Step 2; 6x − 8 = 12 + 2x
Step-by-step explanation:
the student added 2 x 4 during the distributive property but you must multiply so you get 8 rather than 6.
Answer:
b
Step-by-step explanation:
If RSTU is a rhombus, find m< UTS.
R
S
(10x - 23)
T
(3x + 19)
Answers
Answer:
106°
Step-by-step explanation:
The requried measure of the angle m∠ UTS is given as 106°.
What is an angle bisector?An angle bisector is the line segment that bisects the angle into two equal halves.
here,
For rhombus,
Diagonal of the rhombus, it bisects the angle of the rhombus.
So,
10x - 23 = 3x + 19
x = 37
Now,
∠RUT + ∠UTS = 180
[37 + 37] + ∠UTS = 180
∠UTS = 180 - 74
∠UTS = 106°
Thus, the requried measure of the angle m∠UTS is given as 106°.
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a different rectangle has a perimeter of 144 feet. The difference between its length and width is 12 feet. Solve it by elimination.
Answers
Answer:
12
Step-by-step explanation:
Niles and Bob sailed at the same time for the same length of time. Niles' sailboat traveled 30 miles at a speed of 6 mph, while Bob's motorboat traveled 70 miles at a speed of 14 mph. For how long were Niles and Bob traveling?
Answers
Answer: 5 hours
Step-by-step explanation:
As both of them sailed for the same time, take the speed and distance of either of them to find the time they traveled:
Niles' Time = Distance / speed
= 30 / 6
= 5 hours
Bob's time = 70 / 14
= 5 hours
what's equivalent to y-1=-5(x-4). A,y=-5x-19. B,y=-5x+19 C,y=-5x-21 D,y=-5+21
Answers
Answer:
it must be y=-5x+21
Step-by-step explanation:
lets type the equation in front of us and make it simple so we can deal with it
y-1=-5(x-4)
first thing you need to do is to remove those brackets by multiplying whats in the bracket by -5 like this
y-1=-5x+20 -5*x=-5,, -5*-4=20 (note: when you multiply negative with
negative result is positive)
then add each side by 1 so it will be
y=-5x+21
Solve the quadratic by factoring.
x^2+ 15x = 5x – 24
Answers
I need help with studying
Answers
Kyle earns $68.75 for mowing 3 lawns.
How much will he earn for mowing 8 lawns?
Answers
Answer:
I think the answer is 183.28
Step-by-step explanation: I divided 68.75 by 3 and got 22.91
so I multiplied 22.91 and 9.
How many groups of 2/3 are in 5?
Answers
Answer:
7.5
Step-by-step explanation:
Please help, Trigonometry. Will mark brainliest.
Answers
Answer:
Cosine = Adjacent/Hypotenuse
Cosine A = 267/391
Cosine^-1 = 267/391
Angle A = 47 degrees.
Let me know if this helps!
Select all the expressions that show the distance between points A and B.
08-1
0 -1-(-8)
-8+ (-1)
1-81 - 1 - 1
PLEASE HELP !
Answers
Answer:
0 -1-(-8)
0-1=-1
-1-(-8)
-1+8
=7
Can of soup has a radius of 3.4 centimeters. Can is 10.2 centimeters tall, what is the approximate area of the label that wrap around the can?
Answers
Answer:
218 cm²
Step-by-step explanation:
Can of soup has a radius of 3.4 centimeters. Can is 10.2 centimeters tall, what is the approximate area of the label that wraps around the can?
The formula to solve the above question is given as:
The curved or the lateral surface area of the cylinder = 2πrh
Where:
r = 3.4 cm
h = 10.2 cm
The curved or the lateral surface area of the cylinder = 2 × π × 3.4 cm × 10.2 cm
= 217.9 cm²
Therefore, the approximate area of the label that wraps around the can is
218 cm².
Christopher has a points card for a movie theatre
He receives 30 rewards points just for signing up
He earns 5.5 points for each visit to the movie theatre
He needs 63 points for a free movie ticket
Write and solve an equation which can be used to determine x, the number of visits Christopher must make to earn a free movie ticket
Answers
Answer:
63 = 5.5 * x + 30
x = 6
Step-by-step explanation:
Answer:
63 = 5.5 * x + 30
x = 6
Step-by-step explanation:
just answered the question
Ming is cooking pancakes. The recipe calls for 19 cups of flour. She has already put in 8 cups. How many more cups does she need to put in?
Answers
Ming still needs to put in 11 cups of flour to make the recipe.
EquationEquation is an expression used to show the relationship between the two or more variables and numbers.
Let x represent the number of cups of flour remaining for Ming to put in. The value of x can be gotten from the formula:
x + 8 = 19
x = 11 cup
Ming still needs to put in 11 cups of flour to make the recipe.
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Which sum or difference is modeled by the algebra tiles?
A. (x2 - 2x + 3) - (-x - 4x - 2) = 2x - 1
B. (x - 2x - 3) + (x2 - 4x + 2) = 2x - 1
C. (x2 - 2x-3) - (x + 4x + 2) = 2x - 1
D.(X2-2x-3) + (-x2 +4x+2)=2x-1
Answers
The sum or difference modeled by the algebra tiles shown in the image is: [tex](x^2 - 2x - 3) - (x + 4x + 2) = 2x - 1[/tex]. The correct option is C.
What is algebra?Algebra is a branch of mathematics that deals with symbols and the rules for manipulating those symbols.
The tiles on the left side of the equation represent the polynomial x^2 - 2x - 3, which can be factored as (x - 3)(x + 1).
The tiles on the right side of the equation represent the polynomial -x - 4x - 2, which can be simplified as -5x - 2.
Substituting these expressions into the original equation, we get:
(x - 3)(x + 1) - (-5x - 2) = 2x - 1
Expanding the left side and simplifying, we get:
[tex]x^2 - 2x - 3 + 5x + 2 = 2x - 1[/tex]
Simplifying further, we get:
[tex]x^2 + 3x - 2 = 2x - 1\\x^2 + x - 1 = 0[/tex]
This is a quadratic equation that can be factored as (x + 1)(x - 1) = 0, which has roots x = -1 and x = 1.
Therefore, the sum or difference modeled by the algebra tiles is C. [tex](x^2 - 2x - 3) - (x + 4x + 2) = 2x - 1.[/tex]
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Explain how you found the unit rate for the previous activity. Then, explain how you used this information to graph this relationship.
Answers
Answer:
.
Step-by-step explanation:
A Speedboat increases in speed uniformly from 20m/s to 30m/s for 12.2 s. What is the acceleration of the speedboat?
Answers
Answer:
0.82 m/s^2
Step-by-step explanation:
Given data
initial velocity=20m/s
Final velocity= 30m/s
Time = 12.2s
Applying the formula
a= v-u/t
a= 30-20/12.2
a= 10/12.2
a= 0.819
a=0.82 m/s^2
BEST ANSWER GETS BRAINLIEST
Central Fencing has been hired to fence the perimeter of a rectangular field. The length of the field is 42 - W feet, where W is the width of the field, and the area of the field must be more than 432 square feet. Find the bounds on the width of the field.
Answers
Answer:
10.3 is the width
Step-by-step explanation:
set up an equation
42w=432
divided both sides by 42
W=10.2857142857
to rounded it to nearest tenth it will be 10.3
to check your answer multiply 10.3 by 42 it will be 432
check check
Answer:
18 ≤ w ≤ 24
Step-by-step explanation:
A = l * w
A ≥ 432 sq ft.
l = 42 - w
432 ≤ (42 - w) (w)
432 ≤ -w² + 42w
w² - 42w ≥ 432
Substitute values for w
w = 18
w = 24
If you are finding the median of a data set, are you finding a measure of center or a measure of variation?
Answers
Median is a measure of center. To find the median, you find the middle, or center, of the data set. Mean would be an example of a measure of variation.
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hope it helps
please help me ill mark you brainlyest
Answers
Answer:
A is false it said it could be greater than 35 or equal to and 100 x 5 = 500 + 1 = 501 therefore a is false
B is false 6.8 could be possible and it could be a decimal it can't only be a whole number
C is false 6 4/5 is a solution so c is false
D is I'm not sure, I think infinite except for 7 and below so maybe true
E is false because any number greater than 7 that are multiplied to 5 can be as long as its greater than or equal to 35
Ok this is what I think. Id rather wait for more answers to be sure thank you.
What does the symbol≅for?
Answers
Answer:
approximately equal to/approximate equality/congruent or congruence (in geometry)
Answer: It means Approximate equality Congruence
. Neve is examining a tree limb. She notices that the smaller branches spiral away from the larger limb. The limb has 1 branch, then another single branch. After that, the branches spiral in the pattern {2, 3, 5, 8, …}. Can you model the tree growth with the Fibonacci sequence? Explain.
Answers
Answer:
[tex]a_1=2\\a_n=a_{n-1}+(n-1)\,,n>1[/tex]
Step-by-step explanation:
Given: The smaller branches spiral in the pattern [tex]\{2,3,5,8,...\}[/tex] from a larger limb.
To model: the tree growth with the Fibonacci sequence
Solution:
Take [tex]a_1=2[/tex]
Let [tex]a_n[/tex] denotes the [tex]n^{th}[/tex] term.
[tex]a_2=3=2+1=2+(2-1)=a_1+(2-1)\\a_3=5=3+2=3+(3-1)=a_2+(3-1)\\a_4=8=5+3=5+(4-1)=a_3+(4-1)[/tex]
So,
[tex]a_1=2\\a_n=a_{n-1}+(n-1)\,,n>1[/tex]
Answer:
Yes.
Step-by-step explanation:
The pattern in which the branches are growing off the limb is {1, 1, 2, 3, 5, 8, …}, meaning you can use the model with tree growth.