pls help!! the answers are written but can someone explain how to find the angles step by step? I already know how to find the hypotenuse length.
Answers
There are a few options we can take. One way is to use the tangent ratio to tie together the opposite and adjacent sides, and then apply the inverse tangent (aka arctangent) to get the angle itself.
Let x be the upper left acute angle, and y be the lower right acute angle.
We can say
tan(angle) = opposite/adjacent
tan(x) = 16/5
x = arctan(16/5)
x = 72.645975 approximately
x = 72.6
and also
tan(angle) = opposite/adjacent
tan(y) = 5/16
y = arctan(5/16)
y = 17.3540246
y = 17.4
Note how x+y = 72.6+17.4 = 90. The two acute angles of any right triangle are complementary, meaning they always add to 90. So if you found x, then you can compute y = 90-x without needing the tangent ratio.
Your calculator needs to be in degree mode when using the arctangent function, which is denoted as [tex]\tan^{-1}[/tex] on many graphing calculators.
Related Questions
Is (x+2) a factor of f(x) = x3-7x2+2x-8? Use either remainder theorem to explain your reasoning
Answers
Answer:
No
Step-by-step explanation:
If (x + h) is a factor of f(x) then f(- h) = 0
Here (x + 2) with h = - 2 , then
f(- 2) = (- 2)³ - 7(- 2)² + 2(- 2) - 8
= - 8 - 7(4) - 4 - 8
= - 8 - 28 - 12
= - 48
Since f(- 2) ≠ 0 then (x + 2) is not a factor of f(x)
ABCD is a square. DEF is an equilateral triangle. Work out the size of the angle labelled d°.
Answers
Answer:
95
Step-by-step explanation:
Hope this helps :)
Merry Christmas. Have fun.
The size of ∠CDE labelled d° = 95° Given,
What is an angle?An angle is formed when two straight lines or rays meet at a common endpoint. The common point of contact is called the vertex of an angle.
Given,
In triangle DAF
∠DAF = 25°
∠DFA = 40°
Sum of all interior angles is 180°
∠DAF + ∠DFA + ∠ADF = 180°
25° + 40° + ∠ADF = 180°
65° + ∠ADF = 180°
∠ADF = 180° - 65°
∠ADF = 115°
Triangle DFE is equilateral
∠FDE = 60°
ABCD is an square
∠CDA = 90°
Now,
∠CDA + ∠ADF + ∠FDE + ∠CDE = 360°
90° + 115° + 60° + d° = 360°
d° = 360° - 265°
d° = 95°
Hence, 95° is the size of ∠CDE labelled d°.
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Jacob has 4 reams of paper. Each ream of paper has 250 sheets of paper.
He will take the paper and make booklets. Each booklet will use 8 sheets of
paper What is the greatest number of booklets Jacob can make with this
amount of paper?
A 262
B. 125
C 1,008
D. 575
Answers
Explanation
250x4=1000
1000 divided by 8 = 125
1 ream = 250 papers
=> 4 reams = 250 x 4=> 4 reams = 1000 papers.1 booklet = 8 papers
=> 1000 ÷ 8 = x booklets=> 125 bookletsConclusion:Therefore, with 4 reams of paper, Jacob will be able to create 125 booklets.
Hoped this helped.
[tex]-BrainiacUser1357-[/tex]
14. Which transformation from the graph of a function f(x) describes the graph of 10f(x)? 2. ( Responses: horizontal, vertical) 2. ( Responses: shift, stretch) 2. ( Responses: up, down, left, right, by a factor of) 10 units. 2. Answer it and then explain it please
Answers
Answer: Your mom
Step-by-step explanation:
HEHEHEHA
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Aiden and his parents are looking at what cell phone plan is the best deal financially.
Cherokee Cell company quoted them a base price of $20 a month plus $2 per text
message. The second store that Aiden and his family visited was Warriors Wifi. They
charged $80 a month plus $0.50 per text message. Based on this information, what is
the better deal for Aiden and his family if Aiden plans on sending 175 text messages a
month and why?
O Cherokee Cell is the better deal because it will cost $70 for 25 texts.
Cherokee Cell is the better deal because it will cost $167.50 for 175 texts.
O Warrior Wifi is the better deal because it will cost $167.50 for 175 texts.
Warrior Wifi is the better deal because it will cost $70 for 25 texts.
Answers
Answer:
Warrior WiFi is better because it costs 167.50 for 175 texts.
Step-by-step explanation:
2x175 = 350 + 20 = 370
0.50x175 = 87.5 + 80 = 167.5
55) Carl spent 25% of his money for some presents. What percent
did he have left?
Answers
Answer:
75%
Step-by-step explanation:
In total it was 100%, but he spent 25%.
100% - 25%=75%
A beach ball has a diameter of 18 inches. What is the approximate volume, rounded to the nearest whole number, of the inflated beach ball?
Answers
Answer:
3,052 cubic inches
Step-by-step explanation:
·· A beach ball has a spherical shape
·· Formula to calculate the volume of a sphere is given as:
In the question, we are given
Diameter = 18 inches
We have to find the radius
Radius = Diameter/2
Radius = 18 inches/2
Radius = 9 inches
The volume of the beach ball =
= 3,052.08 cubic inches
Approximately to the nearest whole number = 3,052 cubic inches
What is the common denominator of y StartFraction y minus 3 Over 3 EndFraction in the complex fraction y StartFraction y minus 3 Over 3 EndFraction divided by five-ninths StartFraction 2 Over 3 y EndFraction?.
Answers
The common denominator of the given expression is [tex]5y+6.[/tex]
Given expression,
[tex]\dfrac{y+\frac{y-3}{3} }{\frac{5}{9} +\frac{2}{3y} }[/tex].
We have to find the common denominator.
On solving the numerator and denominator of the given expression,
[tex]\dfrac{y+\frac{y-3}{3} }{\frac{5}{9} +\frac{2}{3y} }= \dfrac{\frac{3y+y-3}{3} }{\frac{5y+6}{9y} }[/tex]
[tex]= \dfrac{\frac{4y-3}{3} }{\frac{5y+6}{9y} }[/tex]
[tex]= \dfrac{4y-3}{3} \times\dfrac{9y}{5y+6}[/tex]
Or,[tex]\dfrac{y+\frac{y-3}{3} }{\frac{5}{9} +\frac{2}{3y} }= \dfrac{3y(4y-3)}{5y+6}[/tex]
Hence the common denominator of the above expression is given by [tex]5y+6.[/tex]
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Answer:
Not A 3y(y – 3)
Not B y(y – 3)
it is either C 3Y or D 3
Which of the following is a reason to establish a good credit history?
Answers
Show and explain how you found the answer to this problem. Marion read 616 pages in 14 days. If she read the same number of pages each day, how many pages did she read each day?
Answers
Based on the number of pages read and the time it was read in, the number of pages read per day was 44 pages.
Marion read 616 pages and did this in 14 days.
She read the same number of pages each day so the number of pages read per day was:
= Number of pages read in total / Number of days
= 616 / 14
= 44 pages
In conclusion, she read 44 pages per day.
Find out more about divisional problems at https://brainly.com/question/13417862.
Solve if x is equal to 4. y = 2x
Answers
if x=4 then the equation would be y=2(4)
2(4)=8
Does this graph represent a function? Why or why not
Answers
Answer:
C
Step-by-step explanation:
It passes the horizontal line test
Answer:
B. yes, it passes the vertical line test
Step-by-step explanation:
A vertical line intersects the graph in at most 1 place. That test passes, so the graph represents a function.
_____
A function maps any given x-value to only one y-value.
This figure consists of a rectangle and semicircle.
What is the area of this figure?
Use 3.14 for π.
please help ASAP!
Answers
Answer:
46.28
Step-by-step explanation:
rectangle = 10×4 = 40 ft²
semicircle = 1/2×3.14×2×2 = 6.28 ft²
area of this figure is 40+6.28 = 46.28 ft²
(ii) The probability the tiles are both the same colour is 16 45 Show that x2 - 6x + 5 = 0.
Answers
Answer:
i think probably x = 1 or 5
Step-by-step explanation:
x²-6x+5 =0
so (x-1)(x-5) = 0
so x = 1 or 5
what kind of wave is shown
Answers
Answer:
longitudinal
Step-by-step explanation:
4square plus 2power of xdivide by 2 equal to 16 what is the answer of this question
Answers
Answer:
[tex]x=4[/tex]
Step-by-step explanation:
We can solve this question by understanding what is first says. The expression tells us 4 square which is 16 plus to to the power of x and all that divided by two: [tex]16+2^{x} / 2 = 16[/tex]
Now we can solve for x:
1. [tex]16 + 2^{x} = 32[/tex]
2. [tex]2^{x}=16[/tex]
3. [tex]x=4[/tex]
a diver is 19 meters below the surface of the water.use an interger to represent how far the diver will need to travel to reacg the surface'
Answers
Answer:
19 meters
Step-by-step explanation:
if he goes straight up at 90 degreed to the surface of water, it would be 19 metres
What is the equation 5x+6y=18 equal
Answers
Answer:
y = -5/6x + 3
Step-by-step explanation:
how to find the intervals of increasing and decreasing
Answers
Answer:
Given a function f(x), for determining in what intervals the function is increasing (or decreasing) you can calculate its derivative f'(x) and put it greater than 0 (or smaller than 0). It will give you some intervals.
Rosy went to the shoe store and counted 324 pairs of shoes. She went to another shoe store and counted 236 pairs. How many shoes did Rosy count in total.
Answers
Answer:
560
Step-by-step explanation:
Rosie counts 324 + 236 shoes
Let's start by separating each number into hundreds, tens, and ones
300, 20, 4
200, 30, 6
Then, we can add up each section
300 + 200 = 500
20 + 30 = 50
4 + 6 = 10
Finally, we can add up the sections
500 + 50 + 10 = 560
three african elephants can weigh a total of 13,500 pounds. at this rate, how many do 2 african elephants weigh?
Answers
Answer:
Step-by-step explanation:
13500/3 = 4500
4500 x 2 = 9000
can i get some help on this question?
Answers
68/8.5 = 8
So b = 8
Bye I hope this helps you pass!
Find the value of x in the triangle shown below.
Answers
Answer:
u did a lot of this budy a lot of these
Step-by-step explanation:
6- 1/3 = decimal maths
Answers
Answer:
To get 6 1/3 in decimal form, we basically convert the mixed number to a fraction and then we divide the numerator of the fraction by the denominator of the fraction. Here are the detailed math steps we use to convert 6 1/3 mixed number to decimal form: Step 1:Multiply the whole number by the denominator: 6 × 3 = 18
Step-by-step explanation:
The value of the expression 6 - 1/3 will be 17 / 3.
What is Algebra?The analysis of mathematical representations is algebra, and the handling of those symbols is logic.
PEMDAS rule means for the Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This rule is used to solve the equation in a proper and correct manner.
The numbers are given below.
6 and 1/3
Then the difference between the numbers 6 and 1/3 will be given by putting a minus sign between them. Then we have
⇒ 6 - 1/3
⇒ (18 - 1) / 3
⇒ 17 / 3
The value of the expression 6 - 1/3 will be 17 / 3.
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the state of California keeps track of how many millions of students are learning English as a second language each year: English Learners are shown in millions in the table.
find an equation for the median fit line
Answers
What are the real and imaginary parts of the complex number ? 16 + 3i
Answers
Answer:
Real - 16 Imaginary - 3i
Step-by-step explanation:
If the number has i with it, it's imaginary. If it doesn't have i with it, it's real
Help a girl out pls!!!
Answers
Answer: AA Similarity
Step-by-step explanation:
Since both shapes have two corresponding angles that are congruent, AA similarity is applied here.
Calculate the volume of cylinders with the following dimensions ( 22/7).
(b) Diameter of the base = 84 cm, height = 1.5 m
Answers
Step-by-step explanation:
Volume of a cylinder=
[tex]\pi \: {r}^{2} h[/tex]
Radius=84÷2=42
Volume=22/7×42²×150=831 600 cm³
Which inequality is displayed on the number line?
Answers
How many different terms are in the expression? 28s + 3t+ 6b + 21f
Answers
Answer:
4
Step-by-step explanation:
In math, the word difference is the result of subtracting one number from another. It refers to the difference in quantity between two numbers. In math, we get the difference between two numbers by subtracting the subtrahend (the number being subtracted) from the minuend (the number being subtracted from).