Triangle A B C is shown. Angle A C B is a right angle. The length of hypotenuse A B is 12 and the length of B C is 6. Angle A B C is 60 degrees and angle B A C is 30 degrees.
What is the value of tan(60°)?
One-half
StartRoot 3 EndRoot
StartFraction StartRoot 3 EndRoot Over 2 EndFraction
StartFraction 1 Over StartRoot 3 EndRoot EndFraction
Answer: 2 is the answer
Step-by-step explanation:
did it on ed
The value of tan 60° in the triangle ABC is √3
Right angle triangle:Right angle triangle have one of its angles as 90 degrees. The sides are called hypotenuse, adjacent and opposite side base on the angles.
Therefore,
ΔABC
∠C = 90°
AB = 12
BC = 6
∠B = 60°
∠A = 30°
Therefore,
tan 60° = opposite / adjacent
AC = √12² - 6² = √108 = 6√3
tan 60° = AC / BC
tan 60° = 6√3 / 6
tan 60° = √3
learn more on right angle triangle here: https://brainly.com/question/16627295
the air pressure P is inversely proportional to the altitude h. write the related variation equation
Answer:
For a confined, constant volume of gas, the ratio
P
T
is therefore constant (i.e.,
P
T
=
k
). If the gas is initially in “Condition 1” (with P = P1 and T = T1), and then changes to “Condition 2” (with P = P2 and T = T2), we have that
P
1
T
1
=
k
and
P
2
T
2
=
k
, which reduces to
P
1
T
1
=
P
2
T
2
Assume y varies directly with x. If y = 80
when x = 8, find x when y = 40.
Answer:
4
Step-by-step explanation:
Lupita bought 7 pounds of pretzels at a local wholesaler for $16.80. Her friend Charles bought 5 pounds of pretzels at the supermarket for $12.75. Charles thinks he got the better deal because $12.75 is less than $16.80. 8a. Is Charles's reasoning correct? Explain why or why not.
Answer:
Charly has the better buy
Step-by-step explanation:
The unit cost is
=16.8/7
=$2.4
Her friend Charles bought 5 pounds of pretzels at the supermarket for $12.75
Unit cost
=12.75/5
=$2.55
Charly got the best deal because the unit cost per item is less than that of the friend
Write the simplest polynomial function for each set of zeros
Zeros = -2, 5, -1
Answer:
The polynomial is ;
x^3 -2x^2 -13x - 10
Step-by-step explanation:
Given the zeros, we set them to equal zero so as to get the linear factors
Mathematically, that will be as follows;
x = -2
x + 2
x = 5
x-5
x = -1
x + 1
So we have the polynomial as;
(x + 1)(x + 2)(x-5)
= (x -5)(x^2 + 3x + 2)
= x^3+ 3x^2 + 2x -5x^2 -15x - 10
= x^3 -2x^2 -13x - 10
A driver travels from Town A to Town B at a speed of 75km/hr and covers a distance of 150km. He then travels from Town B to Town C for 3 hours at a speed of 80km/hr. Find the average speed from Town A to Town C
chal khud kar solve
nikal yahann se, khud mehnat se solve kar
I NEED HELP WITH THIS ( IM IN LIVE ADN I NEED IT DONE TODAY)
all you need to do is explain it.
Can someone help me with this question? Will give brainliest :) (valid answers only or you’ll be reported)
Answer:
y=-5x-8
Step-by-step explanation:
Answer:
...
Step-by-step explanation:
Figure B is the image of Figure A when reflected across line ℓ. Are Figure A and Figure B congruent
Answer:
If they are reflection. I think they are congruent
Step-by-step explanation:
A lamborghini traveled 220 miles in 4 hours. How many miles does the lamborghini drive per hour (speed)?
Answer:
55 mph
Step-by-step explanation:
220m per 4 hours
so 220 devieded by 4 gives u your answer
Answer:
55 miles
Step-by-step explanation:
220/4=55
55 mph
55mph times 4 hours
Pleaseee help meee....
Answer:
its 90 bc the angle has a square (tbh I'm just guessing
A polynominal function that describes an enclosure is v(x)=1500x_x2 where x is the length of the fence in feet what is the maximum area of the enclosure
Answer:
The answer is below
Step-by-step explanation:
A polynominal function that describes an enclosure is v(x)=1500x-x2 where x is the length of the fence in feet what is the maximum area of the enclosure
Solution:
The maximum area of the enclosure is gotten when the differential with respect to x of the enclosure function is equal to zero. That is:
V'(x) = 0
V(x) = x(1500 - x) = length * breadth.
This means the enclosure has a length of x and a width of 1500 - x
Given that:
v(x)=1500x-x². Hence:
V'(x) = 1500 -2x
V'(x) = 0
1500 -2x = 0
2x = 1500
x = 1500 / 2
x = 750 feet
The maximum area = 1500(750) - 750² = 562500
The maximum area = 562500 feet²
Answer:
562500 feet²
Step-by-step explanation:
TIMED TEST!!!
Answer Choices
A)Neither Anne or Tim
B)Both Anne and Tim
C)Only Anne
D)Only Tim
Answer:
C) only ANN
Step-by-step explanation:
Ann is right but Tom isn't because angles are the same during a reflection but he said angles that aren't congruent were.
The table below compares a number of shirts bought at a store to the cost of the shirts
4
Number of Shirts
Cost In Dollars
1
1 x 10
2
2 x 10
3
3 x 10
4 x 10
a. Write an expression that represents the cost of s number of shirts,
Answer:
doom
Step-by-step explanation:
Help I give 20 points answer ASAP
Answer:
-1
Step-by-step explanation:
Your brother traveled 117 miles in 2.25 hours to come home for Christmas. What's the average speed that he was traveling?
Answer:
52 miles per hour
Step-by-step explanation:
The formula for Average speed is given as: Distance(miles)/Time in hours
From the question,
Distance = 117 miles
Time = 2.25 hours
Average Speed = 117 miles/2.25 hours
Average Speed = 52 miles per hour
The average speed that he was traveling is 52 miles per hour
A case of tacks weighs 1.29 kilograms. There are 7 boxes in each case, each box having the same weight. How much does each box weigh?
Answer:
Each box weighs 0.18 kilogram.
Step-by-step explanation:
We can do proportions to solve.
[tex] \frac{1.29 \: kilograms}{7 \: boxes} = \frac{x}{1 \: box} \\ \\ \frac{7x}{7} = \frac{1.29}{7} \\ \\ x = 0.18 \\ x = 0.18 \: kilogram[/tex]
I'll give brainly if right
Answer: 3.6
Step-by-step explanation:
18/5 simplified equals 3 3/5.
3/5 = 0.6
3 + 0.6 = 3.6
In conclusion, the answer is 3.6.
Hope this helps!
Helppppppppp pleaseee ASAP
Answer:
3
Step-by-step explanation:
Given that:
Larger square is a dilation of smaller square
Dimension of smaller square (5 - 3) units by (5 - 3) units = 2 by 2
Dimension of larger square (7 - 1) units by (7 - 1) units = 6 by 6
Hence, the scale factor used to create the larger square from the smaller square will be:
Scale factor (x) * side of smaller square = side of larger square
x * 2 = 6
2x = 6
x = 6/2
x = 3
Hence, scale factor used to generate larger square is 3
There are 132 eighth-grade students at Hoover Middle School. If there are 6 eighth-grade teachers, how many students are there per teacher?
A. 18 students per teacher
B. 22 students per teacher
C. 24 students per teacher
D. 16 students per teacher
Determine if this is a valid statistical question: What proportion of New Jersey residents would choose vanilla as their favorite ice cream flavor? *
what is x and y. use a decimal
Answer:
X= 3/5 Y= -3
Step-by-step explanation:
Answer:
Step-by-step explanation:
m<L =60 angle addition post
MLP is equialateral def of equialateral
5x-3=4 def of equialateral
2y+6=4 def of equialateral
x=1.4 solve
y=-1 solve
There are 159 students to be grouped in math teams. Each team is to have the same number of students. Can each team have 3, 4, 5 or 6 students?
Answer:
3 students for each team
Step-by-step explanation:
Answer:
Each team can have 3 students.
Step-by-step explanation:
159 students grouped in three's = 159/3=53
The same thing goes for if they were grouped in 4's, 5's, or 6's.
159/4=39.75 159/5=31.8 159/6=26.5
And since you cant divide single students into splits objects, 3 is
the only solution that works.
Hope this helps. :)
Plz help!! (I just copied and pasted it)
The video store rents DVDs for $3.00 each and video games for $4.50 each. Write an equation in standard form for the number of DVDs d and video games g that a customer could rent with $18. Graph the equation and give me three combinations of DVD’S and video games.
Step-by-step explanation:
3d + 4.5g <= 18.
3 possible combinations are:
0 DVD and 4 Video games,
1 DVD and 3 Video games,
2 DVDs and 2 Video games.
Answer:
3 possible combinations are:
0 DVD and 4 Video games
1 DVD and 3 Video games
2 DVDs and 2 Video games
Step-by-step explanation:
What is the distance between -8/5 and -3/5
A.-1
B.1
C.11/5
D. -11/5
Answer:
1
Step-by-step explanation:
Subtract the two numbers and take the positive value ( since distance is positive)
-8/5 - (-3/5)
-8/5 + 3/5
-5/5
-1
Taking the positive value, 1
^^down plz help I’ll make another question and give u brainlist plus brainlist on this question
Answer:
i believe it is 5 im not sure
Step-by-step explanation:
Answer ANd ILL GIVE BRAINLIEST first both of them tho or ill take it down sorry
Answer:
y=2.50x+500
x= number of calenders
y= total cost
Cameron can make 1150 calanders
9. y=5x
Step-by-step explanation:
2.5 x 1150 + 500 =3375
If there are 30 boys and 20 girls in a room, fill out all of the possible ratios of boys to girls that could be made.
Answer:
3 to 2, 6 to 4, 18 to 6, etc.
As long as you multiply 3 and 2 by the same number, you will get a correct answer to this problem.
Step-by-step explanation:
boys to girls
30 to 20
3 to 2
A student uses 1/2 quart of paint in 3/4 hour. What is her usage rate in quarts per hour?
ASWER CHOICES
38 quart per hour
23 quart per hour
34 quart per hour
32 quarts per hour
Answer:
1 1/2 quarts per hour
Step-by-step explanation:
To do this you would divide 3/4 by 1/2 to do divide you flip 1/2 to 2/1 then multiply.
3/4*2/1=6/4 which is also equal to 1.5 quarts of paint per hour.
Can someone help me with this math problem? “Solve the equation for y, if it’s not already solved for. If already solved for, type already solved.”
the equation: 5x+3y=15
Answer:
y=(-5/3x)+5
Step-by-step explanation:
so you want to isolate the variable of y.
5x+3y=15
5x+3y-5x=15-5x
3y=-5x+15
3y/3=(-5x+15)/3
y=(-5/3x)+5
i am in algebra two so you can trust my answer. if you need more help, lmk in the comments. happy holidays and stay safe!
