2 sin A = √3
=》sin A = √3/2
■ If sin A = √3/2, then A = 60° (trigonometric value)
So,
cot A = cot 60° = 1/√3
1 - cot²A / 2 cot A
= 1 - (1/√3)² / 2*(1/√3)
= 1 - (1/3) / 2/√3
= 2/3 / 2/√3
= 2/3 / 2√3/3
Cancel out the 3 in the denominator.
= 2/2√3
= 1/√3
1 - cot²A / 2 cot A = 1/√3
_____
● See the attachment for the trigonometric values.
Hope it helps ⚜
Answer:
√3/3Step-by-step explanation:
2 sinA = √3 ⇒ sinA = √3/2Rewrite as:
(1 - cot²A)/2cotA = (1 - cos²A/sin²A)/(2cosA/sinA) = sinA[(sin²A - cos²A)/sin²A] / (2cosA) =(2sin²A - 1)/(2sinAcosA) = (2sin²A - 1)/[2sinA√(1 - sin²A)]Substitute the value of sinA:
(2(√3/2)² - 1) / [√3 √{1 - (√3/2)²)] =(3/2 - 1)/[√3√(1/4)] =(1/2) /(√3/2) = 1/√3 = √3/3Find the interest earned if you place $76.43 into an account that pays 21.5% simple interest, and leave it in for 3 months
Answer:
$49.297
Step-by-step explanation:
21.5% x 3
divide answer by $76.43
leaves you with how much interest you have earned in 3 months.
12 circles to 8 squares simplified is what
BRAINLIEST!Blake is the Human Resources manager for a correctional facility. What is one task that Blake might have as part of his job?
A.
confirming appointments for the director of the facility
B.
looking over the costs of new supplies for the facility
C.
mediating a dispute between two employees
D.
organizing the outdoor video surveillance of the facility
Answer:
Organising the outdoor video surveillance
Step-by-step explanation:
See he is a manager.
His work is to take care of all resources of companyVideo surveillance must be used for securitya triangle with side 9,10and 11 has the same perimeter as a square with sides of length
Answer:
7.5.
Step-by-step explanation:
A square has 4 equal sides so:
4x = 9 + 10 + 11 where x is the length of one side of the square.
4x = 30
x = 7.5.
solve the equation. Show all your work. Put your final answer in the blank.)
12x + 9 1 = 12
Answer:
x=(-79/12) or -6 7/12
Step-by-step explanation:
12x+91=12
-91 -91
12x=-79
(12x/12)=(-79/12)
x=(-79/12) or -6 7/12
Look at picture this is so hard pls help
Answer:
The answer is B
Step-by-step explanation:
James and Bethany Morrison are celebrating their 10th anniversary by having a reception at a local reception hall. They have budgeted $3,000 for their reception. If the reception hall charges a $80 cleanup fee plus $33 per person, find the
greatest number of people that they may invite and still stay within their budget.
James and Bethany can invite at most people to the reception
(Round down to the nearest whole person)
Answer:
88 people
Step-by-step explanation:
Start with the equation of
[tex]3,000\geq 33x+80[/tex]
subtract 80
[tex]3.000\geq 33x[/tex]
then divide by 33
[tex]88.48\geq x[/tex]
round down
[tex]x=88[/tex]
you use a garden hose to fill a wading pool if the water level rise 12 centimeters every 5 minutes and you record the data point of (15,y) what is the value of y
Fill in the missing numbers to complete the linear equation that gives the rule for this table.
Answer:
y= -10x-24
Step-by-step explanation:
To write the linear equation, first find the slope.
[tex]m=\frac{y2-y1}{x2-x1}[/tex]
Let's pick the first two x and y values as our coordinate points.
(1, -34) (2, -44)
[tex]\frac{-44-(-34)}{2-1} =-10[/tex]
The slope is -10.
Use the point-slope formula to write the equation.
y-y1= m(x-x1)
y-(-34)= -10(x-1)
y+34= -10x+10
y= -10x-24
Mr. Bannon sells roses at a commission rate of 25%. What is his commission for selling 235 dozen roses, priced at $15.50 a dozen? NEED HELP IMMEDIATELY
Step-by-step explanation:
that means he gets 25% of the sales.
he sold 235 dozen roses for $15.50 per dozen.
so, the total sales was
235 × 15.5 = $3,642.50
100% = $3,642.50
25% = 100%/4 = $3,642.50/4 = $910.63 (rounded to cents)
Mr Thompson drew a rectangle on the chalk board with a length to width ratio 5 to 2 he asked students to draw a rectangle with the same ratio of length to width in their journals. Audrey plans to draw a rectangle with a width of 6 centimetres .
get ratioed skull skull
Gordon types 2,584 words in 38 minutes.
Answer:
Gordon types 68 words per minute
Step-by-step explanation:
2584/38=68
find the measure of each variable
Answer:
m∡r = 35°
m∡t = 145°
m∡u = 35°
m∡v = 90°
m∡w = 125°
Step-by-step explanation:
m∡r = 180-(134+11)
= 180 - 145
m∡r = 35°
m∡r + m∡t = 180°
35 + t = 180
m∡t = 145°
m∡t + m∡u = 180°
145 + u = 180
m∡u = 35°
m∡u + m∡v + 55° = 180°
35 + 55 + m∡v = 180
m∡v = 90°
m∡w + 55° = 180°
m∡w = 125°
Find the slope of the line that passes through (3, 3) and (9,8). Simplify your answer and write it as a proper fraction, improper fraction, or integer
Answer:
[tex]\frac{5}{6}[/tex]
Step-by-step explanation:
In order to find the answer, you need to use the slope formula, substitute, subtract, and simplify if needed.
Slope formula = [tex]\frac{y^2-y^1}{x^2-x^1}[/tex]
[tex]\frac{y^2-y^1}{x^2-x^1}=\frac{8-3}{9-3}[/tex]
[tex]8-3 = 5[/tex]
[tex]9-3 = 6[/tex]
= [tex]\frac{5}{6}[/tex]
Hope this helps.
10. Find the value of x.
(5x+12)° (3x+8)°
10
15
20
25
Answer:
3x+8+5x+12
8x+20=180
A. 80+20=100 No
B. 120+20=140 No
C. 160+20=180 Yes
D. 200+20=220 No
The Answer is C
Hope This Helps!!!
Answer:
x = 20
Step-by-step explanation:
The triangle has 2 congruent sides and is therefore isosceles with 2 congruent base angles, both 3x + 8
5x + 12 and 3x + 8 lie on a straight line and sum to 180° , that is
5x + 12 + 3x + 8 = 180
8x + 20 = 180 ( subtract 20 from both sides )
8x = 160 ( divide both sides by 8 )
x = 20
Your family took a road trip to Disneyland. For a part of the drive, your family drove 70 miles per hour for 4 hours. How far did your family drive for that portion of the trip?
Based on these calculations of driving 70 miles per hour for 4 hours, you must multiply 70 by 4.
70 x 4 = 280
For four hours of driving, the family drove 280 miles.
What is the area of this figure?
Answer:
84mm
Step-by-step explanation:
square = LxW = 6x6 =36
triangle = bxh/2 = 6x8/2 =24
add together 24x2+36=84
Find the diameter of a circle with a circumference of 443 feet. Use 3.14 for pi
143
21
7
5
and if you can go answer my other questions????? plzzz
compare 8/11 to 3/5
PLEASE HELP !!!
Rewrite both fractions with a common denominator:
8/11 x 5 = 40/55
3/5 x 11 = 33/55
40/55 is greater than 33/55 so 8/11 is greater than 3/5
3 Z The quadratic equation whose roots twice the roots of :2X2-8X+5=0
c(1)=−20
c(n)=c(n−1)+10
Find the second term in the sequence.
Answer:
c(2) = -10
Step-by-step explanation:
The first equation says that the first term of the sequence is -20.
The second equation is saying that to find any term of the sequence, add 10 to the previous term.
c(2) = c(2-1) + 10
c(2) = c(1) + 10
c(2) = -20 + 10 = -10
Simplify these expressions
a) x^5 x x^2
b) y^5 x y
Find X and show work please, answer as mixed number
4 1/2 ≤ 1.2x
May I please receive help?
Problem 1 (on the left)
Answers:[tex]10^2+12^2 = \boldsymbol{244}\\\\14^2 = \boldsymbol{196}\\\\\text{What kind of triangle?} \textbf{ Acute}[/tex]
-------------------------------
Explanation:
The converse of the pythagorean theorem can be used to determine what kind of triangle we're dealing with.
Here are 3 important rules to have in your notes:
[tex]\cdot \text{If } a^2+b^2 > c^2 \text{ then the triangle is } \underline{\text{acute}}\\\\\ \cdot \text{If } a^2+b^2 < c^2 \text{ then the triangle is } \underline{\text{obtuse}}\\\\\cdot \text{If } a^2+b^2 = c^2 \text{ then the triangle is a } \underline{\text{right}} \text{ triangle}\\\\[/tex]
The third rule is probably the most familiar as it's the pythagorean theorem itself.
In this case, we have [tex]a^2+b^2 = 10^2+12^2 = 244[/tex] larger than [tex]c^2 = 14^2 = 196[/tex], which fits the first rule mentioned.
=========================================================
Problem 2 (on the right)
Answers:[tex]8^2+15^2 = \boldsymbol{289}\\\\17^2 = \boldsymbol{289}\\\\\text{What kind of triangle?} \textbf{ Right}[/tex]
-------------------------------
Explanation:
We follow the same idea as problem 1. This time, both [tex]a^2+b^2[/tex] and [tex]c^2[/tex] result in the same value (289). Therefore, [tex]a^2+b^2 = c^2[/tex] is a true equation, and we go for the third rule mentioned earlier. An 8-15-17 right triangle is one of the infinitely many pythagorean triples.
Find the size of unknown angles
Answer:
hope it helps.
plzz give me brainliest
TACOS Orlando spent $18 at a taco truck. He ordered 4 tacos. Write and solve an equation to
find the cost of each taco.
Answer:
$4.5 for one taco
Step-by-step explanation:
18 divided by 4
The division is a process of splitting a specific amount into equal parts.
The equation to find the cost of each taco truck is 4x = 18.
The cost of each taco truck is $4.5.
What is division?The division is a process of splitting a specific amount into equal parts.
Example:
5 apples cost $60.
Cost of each apple = 60/5 = $12.
We have,
Total amount spend = $18
Number of taco trucks where $18 was spent = 4
Let the cost of each taco truck = x
The equation to find the cost of each taco truck can be written as:
4x = 18
We need to find x.
x = 18/4
x = $4.5
Thus the cost of each taco truck is $4.5.
Learn more about division here:
https://brainly.com/question/28639260
#SPJ5
Solve for X Enter the answer only with no spaces between numbers, symbols, and or variables
Answer:
x=-23
Step-by-step explanation:
Since 180° is a straight line you must find a way to get 180 by adding 97°,106°, and x.
Therefore, x must be equal to -23.
Find the first, fourth, and tenth terms of the arithmetic sequence described by the given rule.
A(n) = 5 + (n - 1) 1/6
Answer:
A(1) = 5
A(4) = 5.5
A(10) = 6.5
Step-by-step explanation:
An nth term formula works, whether for a arithmetic or geometric sequence, can be used to find any term in a sequence;
Simply substitute the number that corresponds with the position of the term you want to find and the formula will give the value of that term;
So:
A(1) = 5 + ⅙((1) - 1) = 5
A(4) = 5 + ⅙((4) - 1) = 5.5
A(10) = 5 + ⅙((10) - 1) = 6.5
someone help me please
Answer:
54m^2
Step-by-step explanation:
Area for a triangle = 1/2(12*9)
12 x 9 = 108
108/2 = 54
1/3x^2 = -3
The solution to the equation is ___?
[tex]\dfrac 1{3x^2} = -3\\\\\implies -9x^2 = 1\\\\\implies x^2 = -\dfrac 19\\\\\implies x = \pm\sqrt{-\dfrac 19} = \pm \dfrac 13i[/tex]