Answer:
A is 30 degrees.
Step-by-step explanation:
cot A = 1/ tan A
Therefore 3 tan A = 1 / tan A
3 tan^2 A = 1
tan^2 A = 1/3
tan A = 1 /√3 is A is acute.
A = 30 degrees.
This is about trigonometric identities.
A = 30°
In trigonometric identities, we know that;Tan A = sin A/cos A
Cosec A = 1/sin A
Sec A = 1/cos A
Cot A = 1/tan A
Now, we are given;3 tan A = cot A
But we know from above that Cot A = 1/tan A
Thus;
3 tan A = 1/tan A
Rearranging to get;
(tan A)² = 1/3
tan A = √(1/3)
tan A = 1/√3
Now, from surd form of special angles, we know that;sin 30° = cos 60° = 1/2
sin 60° = cos 60° = (√3)/2
sin 45° = cos 45° = 1/√2
tan 30° = 1/√3
tan 60° = √3
tan 45° = 1
Comparing tan A = 1/√3 with the surd forms listed above, we can see that;A = 30°
A is said to be an acute angle which means it is less than 90° and so it is correct.
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HELP ME PLZZ I NEED HELP WITH THIS!!
Answer:
its the second one
Step-by-step explanation:
Answer:
B. Subtract 28 from both sides
Step-by-step explanation:
2x + 28 = 40
-28 -28
2x = 12
2x/2 = 12/2
x = 6
Jamal is hanging some lights on his house. His ladder is 12 feet long and makes an 80˚ angle with the ground. How high up the wall of his house will his ladder reach? Round your answer to the nearest hundredths place. Just enter a numeric answer, no units needed.
The ladder will reach 11.82 ft high of the wall of his house.
The situation will form a right angle triangle. Therefore,
The length of the ladder is the hypotenuse of the triangle formed.
The height of the wall is the opposite side of the triangle.
Therefore,
using trigonometric ratio,
sin 80° = opposite / hypotenuse
sin 80° = h / 12
cross multiply
h = 12 sin 80°
h = 12 × 0.98480775301
h = 11.8176930361
height of the wall ≈ 11.82 ft
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which mathematical property is shown here
6*1=6
1 identity property of muliplication
2 inverse property
3 distributive
PLZ HELP!
Ramon earns $1,820 each month and pays $53.20 on electricity. To the nearest tenth of a percent, what percent of Ramon's earnings are spent on electricity each month?
Step-by-step explanation:
2.6% b/c 1820×2.6/100
Please help!!! Thank you!!!
Answer:
See below
Step-by-step explanation:
Statement | Reason
1. m∠A + m∠B + m∠C = 180° | 1. Angles in a triangle sum to 180°
2. 28° + x - 4° + 2x = 180° | 2. Substitution
3. x=(180° - 24°)/3= 156°/3°= 52° | 3. Algebra
please solve thisss
Answer:
1,570
Step-by-step explanation:
10×2=20
20×3=60
30×5=150
40×7=280
50×4=250
60×3=180
70×8=630
Now,
20+60+150+ 280 +250+ 280+ 630=1,570
this is the answer
Answer:
[tex] \huge{ \boxed{ \bold{ \tt{45.31}}}}[/tex]
❀ Explanation :
✑ Let's Know about A.M ( Arithmetic Mean )
In statistics , a single number can be calculated from a group of data which shows the character of the whole data. This number is called the average of the while data. An average is also called the arithmethic mean or simply mean which is a measure of central tendency.
☄ To calculate the average of the given type of data ( discrete series ) , follow the steps given below :
Make the table of 3 columns .Write down the items or observations ( x ) in the first column in ascending order and the corresponding frequency ( f ) in the second column.Multiply the data ( x ) by their corresponding frequency ( f ) and write down the product in third column of fx.Find the sum of f - column and fx - column separately.Divide the sum of fx by the sum of f , the quotient so obtained is the required mean.✐ Remember :
[tex] \underline{ \boxed{ \sf{mean \: = \frac{Σfx}{Σf} \: or \: \frac{Σfx}{n}}}} [/tex]
Where , Σf = N = Sum of the frequency and the symbol ' Σ ' ( sigma ) means " summation of " .
( See the workings in attached picture )
Hope I helped!
♪ Have a wonderful day / night ツ
~~
What do you notice about dividing numbers with the same base?
Answer:
it's the one all the way to the right
What is the base area.
Answer:
Area of the base is 10.5 cm².
Step-by-step explanation:
Formula for the volume of the given oblique prism = Area of the triangular base × Vertical height between two triangular bases
Vertical height = 6 cm
Volume = 63 cm³
From the formula,
63 = Area of the triangular base × 6
Area of the base = [tex]\frac{63}{6}[/tex]
= 10.5 cm²
Therefore, area of the base is 10.5 cm².
One triangle shown is formed by the tree, its shadow, and a line of sight from the ground to the top of the tree. The other is formed by Manny, his shadow, and a line of sight from the ground to the top of his head.Manny is 512 feet tall, and his shadow is 414 feet long. The shadow of the tree is 17 feet long. How can you determine the height of the tree?
Answer:
21 feet
Step-by-step explanation:
To solve this question, we would be using the proportion
Shadow /Height
From the question:.
Manny's shadow = 414 feet
Manny's Height = 512 feet
Height of the tree = ? = x
Shadow of the tree = 17 feet
Hence:
414/512 = 17/ x
Cross Multiply
414 × x = 512 × 17
x = 512 × 17/414
x = 21.024154589 feet
x ≈ Approximately = 21 feet
The height of the tree = 21 feet
The height of the tree is 21 feet.
Given that,
Manny is 512 feet tall, and his shadow is 414 feet long. The shadow of the tree is 17 feet long. Here we assume the height be xBased on the above information, the calculation is as follows:
[tex]414\div 512 = 17\div x\\\\414 \times x = 512 \times 17\\\\x = 512 \times 17\div 414[/tex]
x = 21.02
= 21 feet
Therefore we can conclude that the height of the tree is 21 feet.
Learn more: brainly.com/question/24169758
Look at the comments under this question! y = 10-3x and 2x+2y = 0
Answer:
Yes! You would sub 10-3x for y and solve.
Don't forget to use the distributive property! Your answer should be 5.
Do you agree or disagree with each statement? Explain your reasoning.
Employee A gets a pay raise of 50%. Employee B gets a pay raise of 45%. So Employee A gets the bigger pay raise.
Pls help.
Answer:
agree
Step-by-step explanation:
I agree with employee A getting a bigger pay raise than employee B if employee be got a bigger pay raise that is because they have more responsibility or have more skills than employee B.
What is the value of x the equation 1,3,4,6
The Answer is 4.
You isolate the variable by dividing each side by factors that don't contain the variable.
Answer:
C 4
Step-by-step explanation:
PLEASEEEEE HELPPPP!
Answer:
option 4
Step-by-step explanation:
put like terms on either side
9x + 2a = 3a - 4x
subtract both sides by 2a
9x = a - 4x
add both sides by 4x
13x = a
divide both sides by 13
x = a/13
please give thanks, hit that heart button :)
Answer:
4.) a/13
Step-by-step explanation:
9x + 2a = 3a - 4x
9x + 4x = 3a - 2a
13x = a
13x/13 = a/13
x = a/13
Find the degree of the polynomial.
Answer:
Degree of the polynomial = 3
Step-by-step explanation:
The given polynomial is [tex]18x^3y^2[/tex]
There are two variables in this polynomial i.e. x and y.
The exponent of x is 3 and that of y is 2.
We need to find the degree of the polynomial.
The degree of the polynomial is defined as the highest degree of any of the term.
In this case, the degree of polynomial is 3 as it has highest power than the power of y.
What is the constant of proportionality for the relationship represented by this graph?
Answer: (5,11)
Step-by-step explanation:
Answer:
k = [tex]\frac{1}{2}[/tex]
Step-by-step explanation:
The equation of proportionality is
y = kx ← k is the constant of proportionality
To find k use any coordinate point lying on the graph
Using (12, 6 ), then
6 = 12k ( divide both sides by 12 )
k = [tex]\frac{6}{12}[/tex] = [tex]\frac{1}{2}[/tex]
YA
6+
5
4
31
2+
1
LI
A
-6-5-4-3-2
-1
2 3
4
6
-1
-2
-5
-6-
The triangle is rotated 90° clockwise around the point (0,0).
What will be the coordinates of the image of point L after the rotation?
O A. (-2,6)
O C. (6,-2)
O B. (2,6)
OD. (6,2)
Answer:
Option D
Step-by-step explanation:
least to greatest, 45%, .46, 11/25
Answer:
46, 11/25, 45%
Step-by-step explanation:
Given the graphed function below, which of the following ordered pairs are
found on the inverse function?
Answer: Option B.
Step-by-step explanation:
A linear function can be written as:
y = a*x + b
where a is the slope and b is the y-intercept.
if the line passes through the points (ax, ay) and (bx, by) then the slope is:
a = (bx - ax)/(by - ay)
In this case, we can see that the line passes through the points:
(1, 3) and (2, 1)
Then the slope is:
a = (1 - 3)/(2 - 1) = -2
y = -2*x + b
In the graph we also can see that the line intersects the y-axis at y = 5, then b = 5.
The line is:
y = f(x) = -2*x + 5.
the inverse function is such that:
g( f(x)) = x
to find the inverse function of a linear equation, we just could isolate x.
y - 5 = -2x
-y/2 + 2.5 = x
Then we could write the inverse function as:
g(x) = - x/2 + 2.5
Now we need to see which pairs belong to this line. I just will evaluate the function g(x) in different values of x, and see which points belong to the line.
g(9) = -9/2 + 2.5 = -4.5 + 2.5 = -2
(9, -2) belongs to the line.
g(7) = -7/2 + 2.5 = -3.5 + 2.5 = -1
Then (7, -1) belongs to this line.
g(5) = -5/2 + 2.5 = 0
Then the point (5, 0) belong to this line.
We can already see that all these points are in option B, then option B is the correct one.
PLEASE HELP ME WITH THIS PROBLEM ASAP
Answer:
8
Step-by-step explanation:
32/4=8
Answer: 8 minutes
Step-by-step explanation: You can use a proportion to calculate.
[tex]\frac{32}{4} = \frac{x}{1}[/tex]
32 x 1 / 4 = 8
8 minutes = 1 mile
Three items were bought at a car boot sale.
Item A
Mass = 42 grams
Volume = 2 cm
Item B
Mass = 87.5 grams
Volume 5 cm3
Item C
Mass = 147 grams
Volume = 7 cm3
=
The density of platinum is approximately 21 grams per cmº.
Which of the items cannot be platinum?
You must show your working.
Answer: Multiply the density with the volume. You get 2418.2 grams or 2.4182 kilograms
Step-by-step explanation:
Answer:
Item B
Step-by-step explanation:
A:
density = mas/volume = 42 g / 2 cm^3 = 21 g/cm^3
This may be platinum.
B.
density = mass/volume = 87.5 g / 5 cm^3 = 17.5 g/cm^3
This cannot be pure platinum.
C.
density = mass/volume = 147 g / 7 cm^3 = 21 g/cm^3
This may be platinum.
Answer: Item B
help needed! what is 2/3 of 2? (and if possible can you give an easy explanation?)
Answer:
2/3 of 2 is 1.33
Step-by-step explanation:
this because 2/3 times 2 is 1.33
Answer:
4/3
Step-by-step explanation:
2/3 of 2 is basically multiplying 2/3*2/1.
Therefore it's (2*2)/(3*1) which is 4/3.
Help I give 20 points answer ASAP
Answer:
-1
Step-by-step explanation:
Which is a counterexample of the following conjecture: "If two angles are supplementary, they have the same measure?"
A:30 degrees and 60 degrees
B:50 degrees and 130 degrees
C:90 degrees and 90 degrees
D:45 degrees and 45 degrees
Answer:i dont know but i think its D.
Step-by-step explanation:
Pls mark meh Brainlessed
My friend justen here hes tacken and hes cracked at fornight my guy AHHHH A BREAD DOG
helicopter is flying at an elevation of 450 feet. It is within sight of the landing pad and the pilot finds that the angle of depression to the landing pad is 16∘. Find the distance between a point on the ground directly below the helicopter and the landing pad. Round your answer to the nearest whole number.
Answer:
138 feets
Step-by-step explanation:
Given that :
Angle of depression (α) = 16°
Elevation = height = 450 feets
Appling trigonometry :
From the picture attached :
Height / elevation = 450 feets (Adjacent)
Distance = d (opposite)
Tan α = opposite / Adjacent
Tan 17 = d / 450
450 tan17 = d
450 * 0.3057306 = d
d = 137.57880
Hence, distance between a point on the ground directly below the helicopter and the landing pad 138 feets
The distance between a point on the ground directly below the helicopter and the landing pad is 129.03 feet.
Given that,
The helicopter is flying at an elevation of 450 feet.
It is within sight of the landing pad and the pilot finds that the angle of depression to the landing pad is 16∘.
We have to determine,
The distance between a point on the ground directly below the helicopter and the landing pad.
According to the question,
The angle of depression = 16°,
Elevation = height = 450 feet
And d is the distance,
The angle of depression is an important component used in trigonometric operations.
The angle of depression is formed when the observer stands on a ground higher than the object which he is trying to observe.
Therefore, The angle of depression is,
[tex]Tan16 = \dfrac{d}{450}\\\\0.28 = \dfrac{d}{450}\\\\d = 450 \times 0.28\\\\d = 129.03 \ feet[/tex]
Hence, The distance between a point on the ground directly below the helicopter and the landing pad is 129.03 feet.
To know more about Trigonometry click the link given below.
https://brainly.com/question/13760328
Given g(x)=2x+3, solve for x when g(x)=3
Answer:
-3/2
Step-by-step explanation:
Jack wanted to make note cards by cutting pieces of paper in half. Before starting he got two more pieces to use. When he was done he had 24 half-pieces of paper. With how many pieces did he start? A) 11 B) 9 C) 8 D) 10
Answer:
D) 10
Step-by-step explanation:
We are told in the question:
Jack wanted to make note cards by cutting pieces of paper in half. . When he was done he had 24 half-pieces of paper.
Step 1
Divide the number of half pieces by 2 to get the number of whole pieces that was cut
= 24 half pieces/2
= 12 full pieces
Step 2
With how many pieces did he start?
We are told in the question that: Before starting he got two more pieces to use
Hence: The number of pieces he started is calculated as:
12 pieces - 2 pieces
= 10 pieces
Hence, he started with 10 pieces
Complete the table below for the function y = -6x + 4.
Please help!!!!!!!!!
Answer:
D
Step-by-step explanation:
Using the cosine ratio in the right triangle
cos CBA = [tex]\frac{adjacent}{hypotenuse}[/tex] = [tex]\frac{BC}{AB}[/tex] = [tex]\frac{3}{9}[/tex] , thus
∠ CBA = [tex]cos^{-1}[/tex] ([tex]\frac{3}{9}[/tex] ) ≈ 70.53° ( to 2 dec. places )
Factor the following 36k^2-1
answer
[tex] {36k}^{2} - 1[/tex]
using identity
[tex](a + b)(a - b) = {a}^{2} - {b}^{2} [/tex]
let a=6k and b=1
we get
[tex](6k + 1)(6k - 1)[/tex]
hope you are satisfied
A 2oz cup of frozen yogurt has 50 calories in it. How many calories are 7 oz?