Answer:
Check below :)
Step-by-step explanation:
If you are asked to find a side of a triangle using a given side and an angle. You should check if it is a right-angled triangle, if it is then you can use the SOH, CAH, TOA which uses the formulae as shown:
sinΘ= [tex]\frac{opposite}{hypotenuse}[/tex]
cosΘ= [tex]\frac{adjacent}{hypotenuse}[/tex]
tanΘ= [tex]\frac{opposite}{adjacent}[/tex]
(Search them online for detailed explanation about trigonometry on right-angled triangles)
If it is not right-angled triangles, you need to double-check if there is another side given or angle given to use the sine rule or cosine rule
Sine rule: 2 angles and opposite side/ 2 sides and opposite angle
Cosine rule: involves 3 sides and one angle
HELPPP:$
Sal earns $480 per week. Lidia earns $300 per week. Are their salaries proportional if Sal works 40 hours per week and Lidia works 25 hours per week? True or false?
Answer:
not proportional
Step-by-step explanation:
because if you multiply 480×40=19200 and 300×25=7500
it is not the same
The earnings of Sal and Lidia will be equal to each other. So, yes their salaries are proportional.
What are ratio and proportion?A ratio is a group of sequentially ordered numbers a and b expressed as a/b, where b is never equal to zero. When two objects are equal, a statement is said to be proportional.
Sal acquires $480 each week. Lidia acquires $300 each week. On the off chance that Sal works 40 hours out of every week and Lidia works 25 hours out of each week.
The earnings of Sal in each hour will be given as,
⇒ $480 / 40
⇒ $12 each hour
The earnings of Lidia in each hour will be given as,
⇒ $300/ 25
⇒ $12 each hour
The income of Sal and Lidia will be equivalent to one another. Along these lines, yes their compensations are corresponding.
More about the ratio and the proportion link is given below.
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Combine the like terms to create an equivalent expression:
-n+(-4)-(-4n)+6
Step-by-step explanation:
-n + (-4) - (-4n) + 6 = -n - 4 + 4n + 6 = 3n + 2
Answer:
3n+2
Step-by-step explanation:
-n+(-4)-(-4n)+6
= -n-4+4n+6
= 3n-4+6
= 3n+2
10)
4x-9
X + 18
Solve for x
Answer:
x = 9
Step-by-step explanation:
The alternate interior angles theorem tells us that these two quantities must be the same.
Therefore,
x + 18 = 4x - 9
x + 18 + 9 = 4x
x + 27 = 4x
27 = 4x - x
27 = 3x
x = 9
---
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Pls explain how to solve this elimination problem!!
when the angle of elevation of the sun is 78 degrees, an Statue casts a shadow that is 6m long. How far is the top of the statue to the end of it's shadow?
Answer:
28.9 m
Step-by-step explanation:
First, we can draw a picture. The statue is on the right, with the top of the statue representing the top right corner of the triangle. The angle of elevation to the sun is 78 degrees, so the angle between the shadow and the top of the statue must be 78 degrees as well. Assuming there is no angle of elevation between the shadow and the statue, we can say that the shadow and statue form a 90 degree angle because the shadow is perfectly horizontal and the statue is perfectly vertical.
We are trying to find the hypotenuse of the triangle, or the length from the top of the statue to the end of the shadow. To do this, we can utilize the fact that
cos(x) = adjacent / hypotenuse
cos(78°) = 6 / hypotenuse
divide both sides by cos(78°) and multiply both sides by hypotenuse to solve for the hypotenuse
hypotenuse = 6/cos(78°) ≈ 28.9 m
What is the velocity of a car that traveled total of 75 km north in 1.5 hours?
Answer:
hope this helped!
Step-by-step explanation:
75 km = 75000 m
1.5 hours = 5400 sec
Applying the formula
Velocity
=
75000 m
5400 s
=
13.89 m/s
A school with 60 teachers is on alert during a nighttime storm. To inform teachers whether the school will open the next day, the principal will call four teachers, each of whom will call two others, and each of these will call two others, and so on until all 60 teachers have been contacted. How many teachers will have to make two calls?
A) 32
B) 29
C) 16
D) 24
E) 28
Answer:
The answer is 16
Step-by-step explanation:
call four teachers, each of whom will call two others, and each of these will call two others
Answer:
E) 28
Step-by-step explanation:
The 4 teachers the principal calls will each make 2 calls.
The 8 teachers they call will each make 2 calls.
The 16 teachers they call will each make 2 calls. At this point, all 60 teachers have been notified, and the last 32 recipients of calls don't need to call anyone.
4 +8 +16 = 28 teachers make 2 calls.
HELPPPP The volume for the above figure is
A. 7297 cm3
B. 817 cm2
C. 486 cm3
D. none
of the above
A motor-boat takes the same time to travel 80 miles downstream as it takes to travel 60 miles upstream. If the speed of the stream is 5 miles/hr, find the speed of the motor-boat in still water.
Speed is the ratio of distance travelled to time taken. It is given by:
Speed = distance / time
Let a represent the speed of the motor boat in still water and t represent the time. Hence for downstream:
a + 5 = 80/t
t = 80/(a + 5)
For upstream:
a - 5 = 60/t
a - 5 = 60 / (80/(a + 5))
a - 5 = 0.75a + 3.75
0.25a = 8.75
a = 35 miles per hour
The speed of the motor-boat in still water is 35 miles per hour.
Find out more on speed at: https://brainly.com/question/751218
how many steps will it take you to get to 100 if every even number you double and every odd number u take 1 away
Sara bought a pair of jeans for $75. If the jeans were on sale for $25 off, calculate the discount.
Answer:
33.3333% decrease
Step-by-step explanation:
Percentage Decrease = [ (Starting Value - Final Value) / |Starting Value| ] × 100
75 - 25 = 50
the price went from $75 to $50.
75 - 50 = 25
25 ÷ 75 = 0.3333333333333
0.3333333333333 x 100
= 33.3333%
Answer:
the discount was 33.3% off
Step-by-step explanation:
((New - Old) / |Old|) x 100
((50 - 75) / |75|) × 100
(-25 / 75) = -0.333
-0.333 x 100 = 33.3%
Please help ASAP, any links will be reported!
Write an inequality that represents the graph below:
Answer:
x< 0
Step-by-step explanation:
[] An open circle means we will be using < or > and not ≤ or ≥ because the number is not included in the inequality
[] The direction of the inequality sign will go in the direction of the graph, so we will be using < as our number is less than the value given
[] Our final answer, assuming we can use x for this graph, is x < 0
Have a nice day!
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4,800/60 = 480 tens / 6 tens = ___
Answer:
80
Step-by-step explanation:
Answer:
800 = 80 tens
Step-by-step explanation:
4800 / 60 = 800
4x-y=10 and y=2x-2 answers
Answer:
y = 6
x = 4
How to find 'x':
4x - y = 10
y = 2x - 2
First, you need to substitute the 'y' into the first equation.
4x - 2x - 2 = 10
Next, add the x's together. As it's a negative 2x then take away 2 from 4.
2x - 2 = 10
3. Now that it's a normal equation, you can add 2 to cancel out the -2
2x = 8
4. Then divide the 8 by 2 and you will get the answer to x which is 4
x = 4
How to find 'y':
1. Now that we have found out 'x'. Let's go back to y = 2x -2 and use the x to found the answer out. It should be something like this:
y = 2x - 2
y = 2(4) - 2
y = 8 - 2
8 - 2 = 6
y = 6
Conclusion:
So the answer would be:
y = 6
x = 4
You can see if it's correct by putting y into 4x - y = 10.:
4x - 2 = 10
4(4) - 6 = 10
16 - 6 = 10
So that means that y and x are the correct answer.
given the polynomial 6x^4+3x^3-7x^2+4x+5 choose all the following statements that are true?
A. The polynomial has a degree of 6
B. The polynomial has a leading coefficient of 4
C. The polynomial has 4 terms
D. The polynomial has a degree of 4
E. The polynomial has a leading coefficient of 6
Answer:
D and E are true
Step-by-step explanation:
The degree of a polynomial is the value of the largest exponent of the variable within the polynomial, that is the term
6[tex]x^{4}[/tex]
Thus the polynomial is of degree 4 → D
The leading coefficient is the coefficient of the variable with the largest exponent, that is
6[tex]x^{4}[/tex]
The leading coefficient is 6 → E
Given the graph below, write an equation in slope-intercept form.
If ALMN = AXYZ, which congruences are true by CPCTC? Check all that
apply.
Answer:
A C E
Step-by-step explanation:
these triangles can be mapped onto eachother. its basically asking which parts of the triangle would line up with eachother.
The required congruences that are true by CPCTC are LN ≅ XZ, ∠M ≅ ∠Y, and ML ≅ XY. Options A, C, and E are correct.
What is CPCTC?CPCTC stands for "Corresponding Parts of Congruent Triangles are Congruent." It is a theorem in geometry that states that if two triangles are congruent, then their corresponding parts (sides and angles) are also congruent.
More formally, if two triangles are congruent, then the three pairs of corresponding sides are congruent, and the three pairs of corresponding angles are congruent.
Here,
Since the triangle LMN ≅ triangle XYZ,
By CPCTC, we can say that,
∠L ≅ ∠X
∠N≅ ∠Z
∠M ≅ ∠Y
ML ≅ XY
MN ≅ YZ
LN ≅ XZ
Thus, the required congruences that are true by CPCTC are LN ≅ XZ, ∠M ≅ ∠Y, and ML ≅ XY. Options A, C, and E are correct.
Learn more about CPCTC here:
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Alex is feeling stressed this morning. He did not get enough sleep because a dog barked most of the night. The dog barked from 11;41p.m. until 12:09 a.m.Then it started barking again at 3:35 a.m. and didn’t stop until 4:10 a.m.How long did the dog bark in all?
Answer:
Poor Alex, I know how they feel, I got a dog myself.
The amount of time between
11:41 pm to 12:09 am is
19 minutes (to 12 am, 60 minutes to next hour) + 9
which is 28 minutes for the first dog barking session
the second time is 35 minutes,
using same method as before.
adding the two separte barking sessions we get
35+28= 63 minutes
which is equivelant to 1 hour and 3 minutes.
In conclusion the dog barks for 1 hour and 3 minutes in total.
The sum of the first and second terms of an AP is 4 the tenth term is 19 find the sum of the fifth and sixth terms
Answer:
20
Step-by-step explanation:
first term + second term = 4
tenth term = 19
fifth term + sixth term = ?
Since this is an arithmetic sequence:
first term = a
second term = a+d
tenth term = a+9d
Then we have
[tex]2a+d=4 \\ a+9d=19[/tex]
Upon solving the system of equation we have:
[tex]a=1 \\ d=2[/tex]
Since:
fifth term = a+4d
sixth term = a+5d
The final answer is:
fifth term + sixth term = [tex]2a+9d=2+18=20[/tex]
Choose the slope-intercept form of the equation of the line that passes through (-2, 4) and is perpendicular to the graph of 2x + y = -20.
given f (x) = 2x - 10 forwhichvalueofxthat f (x) = -12
Answer:
=-240..................
Answer:
x = - 1
Step-by-step explanation:
f(x) = 2x - 10 and f(x) = - 12, then equating gives
2x - 10 = - 12 ( add 10 to both sides )
2x = - 2 ( divide both sides by 2 )
x = - 1
This assignment is already late cause I’m terrible with time management but please help
45°
B
the sum of the angles of triangles is 180°
60°+75°+x=180°
135°+x=180°
135°-135°+x=180°-135°
x°=45
B
make me brainiest
To solve this question, we have to know some rules
-All tringles' angles must add up to 180 digress
-If the triangles angles do not add up to 180 then the triangles are not a triangle (Just a little reminder if you get asked on it)
Now the steps are easy.
Since you know that all triangles' angles must add up to 180 the formula to find one missing angle is
(Angle number one) + (Angles number two) - 180
If we apply it to the triangle here, it would be
180-(60+75)
Let's solve it slowly
P.E.M.D.A.S
60+75 is 135
180-135=45
Therefore, the answer is 45 or B
I hope this helped if it's wrong pls blame me
ps.Brianlist would really help
a spidere traveled 20 feet in 12 minutes. at this rate, how far could it travel in 3 minutes
Answer:
Spider travel in [tex]5ft[/tex] in 3 minutes
Step-by-step explanation:
A spider traveled 20 feet in 12 minutes.
Speed of spider is
[tex]\frac{20}{12} =\frac{5}{3} ft/min[/tex]
Now we need to find how far could it travel in 3 minutes
Distance
[tex]=3\times\frac{5}{3} \\\\=5ft[/tex]
Find the mean, median and more for the following data sets. (15, 13, 19, 17, 25, 13, 23, 18, 19, 17, 21)
Step-by-step explanation:
hope it will help you ....
1. Classify the following polynomials as monomial, binomial trinomial and polynomial. 1) x2 – xy + y + 4
it's polynomial ✨✨✨✨✨✨✨
Answer: polynomial
Step-by-step explanation: I'm not that great at math tell me if this is correct.
i need help pleasee. i will give brainlest
Answer:
lp
Step-by-step explanation:
y
f(x)=x^2-3, find f(-2),f(4),and f(0)
f(-2)=
f(4)=
f(0)=
Step-by-step explanation:
f(-2)= -2^2-3= -7
f(4)= 4^2-3= 13
f(0)=0^2-3= -3
coaches take people to a festival.
Each coach can take 50 people.
From one city there are 820 people.
How many coaches are needed?
Answer:
17 coaches
Step-by-step explanation:
820 divided by 50 is 16.4 but you can't have part of a coach so you round up it 17
Answer:
17 coaches
Step-by-step explanation:
820 divided by 50 is 16.4 but you can't have part of a coach so you round up it 17
a quter of 30 is=
pleas help
Answer:
7.5
Step-by-step explanation:
If 'quter' is quarter, then 30(1/4) is 7.5
A quarter of 30 is 7.5
All you gotta do is divided 30 by 4 cause a quarter is half of the half. It's the 1/4th part of the whole.
HELP ASAP THIS IS TIMED
C 3/4÷12
You Welcome :)
Answer: C