The side lengths of a 30-60-90 triangle are in the ratio 1:13: 2. What is
tan 60°?
A
Answers
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Work Shown:
Refer to the diagram below. The short leg (opposite the 30 degree angle) is equal to 1 unit, the long leg is equal to sqrt(3) units, and the hypotenuse is 2 units long.
For the reference angle 60 degrees, the opposite leg is sqrt(3) units and the adjacent leg is 1 unit
tan(angle) = opposite/adjacent
tan(60) = sqrt(3)/1
tan(60) = sqrt(3)
Answer: tan 60° = √3
Step-by-step explanation: a p e x (screenshot proof)
Related Questions
Urgent!! Math!! What’s the answer to 2,3,4??
Answers
Answer:=25
Step-by-step explanation:
Answer:
2 is B
3 is C
and i'm pretty sure 4 is B
Step-by-step explanation:
the calculator says otherwise -.-
Thats the correct answer.
y = -20 + 4 If z = 3.5, then y= y=-11 liz = -1, then y (Write your answer as a de z+y=1 lfz=0 then y 21 - y=5 l z= 4 then y PLEASE DETERMINE. THE VALUE OF X
Answers
Answer/Step-by-step explanation:
If in the value of x into each given equation to find y:
✔️x = 3.5,
y = -2(3.5) + 4
y = -7 + 4
y = -3
✔️x = -1,
y = ½(-1) + 11 = -½ + 11
y = (-1 + 22)/2 = 21/2
y = 10.5
✔️x = 0
0 + y = 1
y = 1
✔️x = 4,
2(4) - y = 5
8 - y = 5
-y = 5 - 8
-y = -3
Divide both sides by -1
y = 3
Which graph represents the function f(x) = [x] — 4?
Answers
Water has a density of 1g/cm3, corn syrup has a density of 1.38 g/cm3, corn oil has a density of 0.925 g/cm3, and glycerol has a density of 1.26 g/cm3. If you put all 4 liquids together in a container, what order would the layers of liquid be, starting from the bottom to the top? Explain your answer.
Answers
PLEASE HELP ME!!!!! I NEED HELP ASAP!!! Thank you
Answers
Answer
the answer is 90 (C)
Step-by-step explanation:
Beth = x
Caroline = 60 + x (because if Beth has 60 less than Caroline then Caroline has 60 more than Beth)
Since the ratio = 1/3 ( another way of writing 1:3) then x/60+x = 1/3
3x = 60 + x
3x - x = 60
2x = 60
x = 60/2
x = 30 (Beth has 30 stickers)
Caroline has 60 + x stickers = 60 + 30 = 90
Jollibee employs a total of 10 cashiers and 15 kitchen crews. The manager selects a team of 2 cashiers and
4 kitchen crews for a graveyard shift. In how many ways can the manager select a team?
Answers
Answer:
The manager can select a team in 61425 ways.
Step-by-step explanation:
The order in which the cashiers and the kitchen crews are selected is not important. So we use the combinations formula to solve this question.
Combinations formula:
[tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.
[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]
In how many ways can the manager select a team?
2 cashiers from a set of 10.
4 kitchen crews from a set of 15. So
[tex]T = C_{10,2}*C_{15,4} = \frac{10!}{2!(10-2)!}*\frac{15!}{4!(15-4)!} = 45*1365 = 61425[/tex]
The manager can select a team in 61425 ways.
Which angle is complementary to <4?
<2
<1
<6
<3
Answers
Hope this helps
Have a great day/night
Answer:
<2
Step-by-step explanation:
Clearly <4 and <5 are complementary,
Since <5 is equal to <2 as Vertically Opposite Angles.
PLEASE HELP ME DO MY MATH
Answers
Answer:
C
Step-by-step explanation:
The LCD is 6
What value of m gives the system infinitely many solutions?
-X + 4y = 32
y = mx + 8
Answers
4y=32+x
y=32+x/4
32+x/4=mx+8
32+x=4mx+32
32-32+x=4mx
x=4mx
x/:=4m
1=4m
m=1/4
Choose the three rectangles that have a perimeter of 36 inches.
Answers
Step-by-step explanation:
The three rectangles that have perimeter of 36 inches are
A. C. and D
Just check by using the formula of perimeter of rectangle ; 2 (L + b)
Hope it will help :)
QUESTION: Use the two way table below to answer the question: How
many chemical engineers chose science as their favorite subject? *
The table shows the results of a survey about what the engineers said their favorite subject was in middle school
Answers
Answer:
B.91
Step-by-step explanation:
Because it says so on the table.
9.
A line has equation 6x + 2y + 9 = 0
(a) Find the gradient of the line.
(b) Find where the line crosses the y-axis
Answers
I aperciate if u can help me fast
Answers
Answer:
30
Step-by-step explanation:
cos ^-¹ (20/23) = angle
angle = 29.59
round up = 30
hope it helps
Over a two hour time period a snail moved 50 inches. How far is this in yards? Write your answer as a whole number or a mixed number in simplest form. Include the correct unit in your answer.
Answers
Answer:
1.3 yards
Step-by-step explanation:
Answer:
1 7/18 yards or 1 14/36 yards.
Step-by-step explanation:
There are 36 inches in a yard, so you divide 50 by 36.
You get a variety of answers depending on what form you want it in:
1 yard 1 foot and 2 inches.
1 yard and 14 inches.
These two answers take two forms as fractions of 36:
1 14/36 yards
or simplified: 1 7/18 yards.
The length of the base of a right triangle is 18 cm and a height is 9 cm what is the area of the triangle
Answers
The formula is height multiplied by base divided by 2.
the graph represents the x^2+y^2=8. Use the graph to answer questions 6,7,8.
6. look at the graph of the equation x^2+y^2=8. give its domaim and range
7. use algebraic means to show that x^2+y^2=8 is not a function. Explain your process.
8. is there any value(s) of the domain of x^2+y^2=8 that passes the verticle line test? if so, name the value(s) and state whether or not the existence of this value makes this relation a function. You can use Desmos to help you explore this idea, if needed.
Answers
Using the concepts of domain and range, we have that:
6. Both the domain and the range of the relation are [-2.826, 2.826].
7. The relation is not a function, as each value of x is associated with two values of y, that is: [tex]y = \pm \sqrt{8 - x^2}[/tex].
8. From item 7, we get that there are no points that pass the vertical line test.
What are the domain and the range of a function?The domain of a function is the set that contains all the values of the input. In a graph, it is represented by the values of x.The range of a function is the set that contains all the values of the output. In a graph, it is represented by the values of y.Hence, from the graph of the circle, for item 6, both the domain and the range of the relation are [-2.826, 2.826].
A relation is a function only if each value of x is related to only one value of y. Solving the equation of the circle for y, we have that:
x² + y² = 8.
y² = 8 - x²
y = ±sqrt(8 - x²).
Hence each value of x is related to two values of y, meaning that it is not a function, and for item 8, there are no points that pass the vertical line test.
More can be learned about domain and range of functions at https://brainly.com/question/10891721
#SPJ1
Find the square root of the following numbers by division method.
Answers
Step-by-step explanation:
to understand thisyou need to know about:square rootfinding square root by division methodPEMDAStips and formulas:tips for finding square root by division method:
Group the digits in pairs, starting with the digit in the units placeThink of the largest number whose square is equal to or just less than the first period. Take this number as the divisor and also as the quotient.Subtract the product of the divisor and the quotient from the first period and bring down the next period to the right of the remainder. the new divisor is obtained by taking two times the quotient and annexing with it a suitable digit which is also taken as the next digit of the quotient, chosen in such a way that the product of the new divisor and this digit is equal to or just less than the new dividend. Repeat steps till all the periods have been taken uplet's solve:solve the square roots using division method:
the picture is in the attachmentAnswer:
1.6
4.6
8.3
9.2
Step-by-step explanation:
Hope it is helpful.....
Can you help me....................................
Answers
Answer:
A ITS A
because 9*9*9 and it divides by 2
Answer:
I think it's B.
Step-by-step explanation:
3/5 - 3/10
Help for points
Answers
Answer:
3/10
Step-by-step explanation:
3/5 - 3/10 = 6/10 - 3/10 = 3/10
if AK= 29 what is KP?
Answers
Answer:
29/2
Step-by-step explanation:
29/2(centriod theroum)
if my answer helps please mark as brainliest
Show the prime factors for 36.
A) 4x9
B) None of these answers are correct.
C)1 x 36
D)2 x 2 x 3 X3
E)3 x 12
Answers
Answer:
D. 2x2x3x3
Step-by-step explanation:
2x2 is equal to 4
4x3 is equal to 12
12x3 is equal to 36
simply this expression cube root 16x^4 - cube root 2x
Answers
Answer:
2x [tex]\sqrt[3]{2x}[/tex] - [tex]\sqrt[3]{2x}[/tex]
Step-by-step explanation:
you can take the cubed root of [tex]\sqrt{16x^4}[/tex] and make it become the cubed root of ∛(2)³ · 2 · x³ · x which would equal 2x· ∛2x
I don't believe 2x· ∛2x - ∛2x can be simplified
Are snow days a thing of the past or do they still have a place in today's world? Answer whether or not you believe the Mayor and School chancellor are correct in eliminating snow days for NYC school kids. Make sure to use evidence and personal connections to defend your position.
Answers
Answer:
I feel it is unfair to kids of today to require work in bad weather. Especially in harsh and even dangerous weather conditions. For me what if power goes out should I be required to do work?
PLEASE HELP !!! ILL GIVE BRAINLIEST!! *DONT SKIP* ILL GIVE 40 POINTS.
Answers
Answer:
The point on the graph is 4,21.
The left side or y is 3 every time and under or x is 1 each time.
1st point is 0,3 I think.
Step-by-step explanation:
Answer:
(4,21)
Step-by-step explanation:
x is the bottom line and y is the straight line (x,y) (I think)
algebra
3(x — 5) + 2(3х + 1) = 45
Answers
Answer:
Step-by-step explanation:
Work out the value of 3 \times(3^2 + 4) - 83×(32+4)−8.845
1.
Write the equation, then find the value of x.
2.
What is the measure of
Answers
Answer:
1.
32+36+2x=180
2.
56
hope this helps
Camila has a younger brother and an older brother. One brother is 3 years younger than her
and the other is 5 years older than her. The sum of their ages is 74 years. Which of the
following is Camila's age?
Answers
Answer:
24
Step-by-step explanation:
Younger Brother- 21
Camila- 24
Older Brother- 29
21+24+29 = 74
Home Depot sells an $1850 gas grill on the installment plan. The installment agreement includes a 20% down payment and 12 monthly payments of $160.
What is the total cost of the grill on the installment plan?
Answers
Answer:
Total cost of the grill installment plan = 2290
Step-by-step explanation:
370 + 1920 = 2290
a tree measured 12 1/2 feet tall. over the next 5 1/2 years it grew to be 51 feet left. During 5 1/2 years, what was the average yearly growth rate of the tree?
Answers
Answer:
7 feet per yearStep-by-step explanation:
Average growth rate is the difference in growth over the period of the time:
(51 - 12 1/2) ÷ 5 1/2 = (102 - 25)/2 ÷ 11/2 = 77/2 × 2/11 = 7 feet / yearHow many shirts do they have altogether
Lee has 7x - 12 shirts and Bruce has
11x + 3 shirts. How many shirts do they
have altogether?
Answers
Answer:
18x - 9
Step-by-step explanation:
[tex](7x - 12) + (11x + 3)\\7x - 12 + 11x + 3\\18x - 9[/tex]
18x - 9
explanation-
11x + 3
7x - 12 (combine like terms)
combine the x’s
11x + 7x = 18x
combine the other numbers!
-12 + 3 = -9
put them together (bc you can’t further any math they are different)
18x - 9