Answers
Answer:
The measure of ∠A = 58.0°
Step-by-step explanation:
we will use the trigonometry function "tan" to solve the question
∵ BC is the opposite side of ∠A
∵ AC is the adjacent side of ∠A
∵ tan A = [tex]\frac{opposite}{adjacent}[/tex]
∴ tan A = [tex]\frac{BC}{AC}[/tex]
∵ BC = 8 units
∵ AC = 5 units
∴ tan A = [tex]\frac{8}{5}[/tex]
→ Use the inverse function of tan to find the measure of angle A
∵ m∠A = [tex]tan^{-1}(\frac{8}{5})[/tex]
∴ m∠A = 57.99461679°
→ Round it to the nearest tenth
∴ m∠A = 58.0°
∴ The measure of ∠A = 58.0°
Related Questions
using this input output machine f(x)=?
input. output
2. 9
3. 15
5. 33
7. 59
x^2+x+3
x^2-x+3
x^2+x-3
x*2-5
Answers
Answer: 1 1/5 mph
Step-by-step explanation:
A game room has a perimeter of 70 ft. The length is 5 more than twice the width. How many feet squared of new carpeting should be ordered?
Answers
Answer:
A = 250 square ft
Step-by-step explanation:
Equations
Let's call:
x = width of the game room
The length is 5 more than twice the width, thus:
2x+5 = length of the game room
The perimeter of a rectangle is twice the sum of the width and the length:
P = 2( x + 2x + 5 )
And the perimeter is 70 ft:
2( x + 2x + 5 ) = 70
Operating:
2( 3x + 5 ) = 70
Dividing by 2:
3x + 5 = 35
Subtracting 5:
3x = 30
Dividing by 3:
x = 30 / 3
x = 10
The width is 10 ft and the length is 2(10)+5=25 ft
The area of the game room is:
A = 10 ft * 25 ft
A = 250 square ft
Chose the missing side length and the trigonometric ratio you would use to calculate.
Answers
Answer:
The missing value is 2.9mm and cosine was used
Step-by-step explanation:
Given triangle is a right-angled triangle we can use trigonometric ratios to calculate the missing length.
In the given triangle,
Base = k
Hypotenuse = 15mm
Angle = 79
We will use trigonometric ratio which includes base and hypotenuse.
Using cosine,
[tex]cos\ (angle) = \frac{Base}{hypotenuse}\\cos\ 79 = \frac{k}{15}\\k = cos\ 79 * 15\\k = 0.1908*15\\k = 2.862[/tex]
Rounding off to nearest tenth
[tex]k= 2.9mm[/tex]
Hence,
The missing value is 2.9mm and cosine was used
3. A $5,000 principal is invested in two accounts, one earning 1% interest and another earning 6%
interest. If the total interest for the year is $170, then how much is invested in each account?
Answers
Let, amount invested in first account is x.
So, amount invested in second account is ( 5000 - x ).
Now,
Total interest = Interest from 1 + Interest from 2
170 = x × 0.01 × 1 + ( 5000 - x ) × 0.06 × 1
17000 = x + 6( 5000 - x )
17000 = x + 30000 - 6x
5x = 30000 - 17000
x = $2600
Therefore, money invested in first and second account is $2600 and $2400.
Hence, this is the required solution.
PLEASE HELP ME look at he file i put in please help
Answers
Answer:it would need to be 5
Juan is 1 1/4 feet shorter than maria.maria is 1/3 foot taller than Luis. if Luis is 62 inches tall, how tall are maria and Juan.
Answers
Answer:
Maria is 58 inches tall and Juan is 42 inches
Step-by-step explanation:
Select the functions that have identical graphs.
1 Y = cosx
2 cos(x-5pi/2)
3) sinx
Answers
Answer: 2 and 3 B
Step-by-step explanation:
Y=cos(x-5pi/2), y=sinx
7% of $582 is how much?
Answers
Answer:
$541.26
Step-by-step explanation:
Please let me know if this helps
Plz mark B R A I N L I E S T
pls answer no is answering mine
Noel works as a driver for a transportation company. On average, he drives 152 hours to make 19 successful deliveries. Assume this rate is his constant rate for delivering goods. If you graph this relationship with time along the x-axis and number of deliveries along the y-axis, the slope of the line you get gives Noel's unit rate for a successful delivery. Which unit rate can be interpreted as the slope?
a: 8 deliveries per hour
b :2/17 of an hour per delivery
c: 1/8 of a delivery per hour
d: 1/8 of an hour per delivery
Answers
Answer:
A
Step-by-step explanation:
By doing the unit rate, dividing 19 on both the top and bottom, getting this 8.36.../1, you can just round it to 8/1, meaning he makes about 8 deliveries per hour. Hope this helps!
plz i have no clue and this is due in 15 mins
Answers
Answer:
y = [tex]\frac{1}{2}[/tex] x
Step-by-step explanation:
Slope of perpendicular to y = - 2x - 5 line is [tex]\frac{1}{2}[/tex]
y - 2 = [tex]\frac{1}{2}[/tex] ( x - 4)
y = [tex]\frac{1}{2}[/tex] x
Answer:
[tex]y=\frac{1}{2} x[/tex]
Step-by-step explanation:
how tall is bill gates?
Answers
Answer:
Bill Gates is 5'10"
Write an ordered pair that is a solution to the equation of the line y=x+5
Answers
Answer:
(1,6)
(2,7)
(4,9)
(8,13)
Step-by-step explanation:
PLS HELPP I DONT UNDERSTAND!!! WILL GIVE BRAINLIEST + 25 POINTS I ONL HAVE 5 MINUTES LEFT AHHHH
Answers
Answer:
B is your answer
Step-by-step explanation:
Hope this helped!
A graph with time on the x-axis and speed on the y-axis. Segment A increases, segment B is constant, and then segment C decreases. Use the drop-down menus to determine what is happening at each of the graph’s labeled segments. Label A Label B Label C
Answers
Answer:
Label A:increasing
Label B: no change
Label C: decreasing
Step-by-step explanation:
Will mark brainliest on this answer!
Answers
Answer:
[tex]\mathrm{Distance\:between\:}\left(-3,\:10\right)\mathrm{\:and\:}\left(7,\:15\right)=\:5\sqrt{5}[/tex][tex]\mathrm{Midpoint\:of}\left(-3,\:10\right)\mathrm{\:and\:}\left(7,\:15\right)=\:\left(2,\:\frac{25}{2}\right)[/tex]Step-by-step explanation:
Given the two points
(-3, 10)(7, 15)Determining the distance between the points
[tex]\mathrm{Compute\:the\:distance\:between\:}\left(x_1,\:y_1\right),\:\left(x_2,\:y_2\right):\quad \sqrt{\left(x_2-x_1\right)^2+\left(y_2-y_1\right)^2}[/tex]
[tex]\mathrm{The\:distance\:between\:}\left(-3,\:10\right)\mathrm{\:and\:}\left(7,\:15\right)\mathrm{\:is\:}[/tex]
[tex]=\sqrt{\left(7-\left(-3\right)\right)^2+\left(15-10\right)^2}[/tex]
[tex]=\sqrt{\left(7+3\right)^2+\left(15-10\right)^2}[/tex]
[tex]=\sqrt{10^2+5^2}[/tex]
[tex]=\sqrt{100+25}[/tex]
[tex]=\sqrt{125}[/tex]
[tex]=\sqrt{5^3}[/tex]
[tex]=\sqrt{5^2\cdot \:5}[/tex]
[tex]=5\sqrt{5}[/tex]
Therefore,
[tex]\mathrm{Distance\:between\:}\left(-3,\:10\right)\mathrm{\:and\:}\left(7,\:15\right)=\:5\sqrt{5}[/tex]
Determining the midpoints between the points
Given the two points
(-3, 10)(7, 15)[tex]\mathrm{Midpoint\:of\:}\left(x_1,\:y_1\right),\:\left(x_2,\:y_2\right):\quad \left(\frac{x_2+x_1}{2},\:\:\frac{y_2+y_1}{2}\right)[/tex]
[tex]\left(x_1,\:y_1\right)=\left(-3,\:10\right),\:\left(x_2,\:y_2\right)=\left(7,\:15\right)[/tex]
[tex]=\left(\frac{7-3}{2},\:\frac{15+10}{2}\right)[/tex]
[tex]=\left(2,\:\frac{25}{2}\right)[/tex]
Therefore,
[tex]\mathrm{Midpoint\:of}\left(-3,\:10\right)\mathrm{\:and\:}\left(7,\:15\right)=\:\left(2,\:\frac{25}{2}\right)[/tex]
which branch of maths includes the most of other branches symbols/functions ect.
Answers
Answer:
Algebra is a branch of mathematics dealing with symbols and the rules for manipulating those symbols. In elementary algebra, those symbols (today written as Latin and Greek letters) represent quantities without fixed values, known as variables.
Step-by-step explanation:
Which two statements describe how saving $200 every month in her traditional 401(k) retirement account is different from saving $200 every month for her car? Select all the correct answers. Isabel’s retirement savings are made with after-tax dollars. Isabel’s retirement savings are made with pretax dollars. Isabel’s retirement savings can be used for other purposes without penalty. Isabel’s retirement savings have more liquidity than the money in her savings account. Isabel’s retirement savings have no contribution limits. Isabel’s retirement savings may include a contribution from her employer.
Answers
Answer:
Isabel’s retirement savings are made with pretax dollars.
Isabel’s retirement savings may include a contribution from her employer.
Step-by-step explanation:
When you contribute to an IRA account, your contribution is tax deductible. This means that all the money that you contribute to your account comes from pretax dollars. This contribution is limited to $19,500 per year (for 2020) or $26,000 if you are 50 or older.
Your employer can also contribute to your 401(k) account and employer's contribution may be even higher than the employee's. Total contributions including employer's and employee's cannot exceed $57,000 per year (or $63,500 if 50 or older) or the employee's total compensation per year, whichever is lower.
please answer as soon as possible
8^1/6 multiplied by 2^x = 32^1/2
what is the exact value of x
Answers
Answer:8^1/6*2^x=32^1/2
We move all terms to the left:
8^1/6*2^x-(32^1/2)=0
Domain of the equation: 6*2^x!=0
x!=0/1
x!=0
x∈R
We get rid of parentheses
8^1/6*2^x-32^1/2=0
We calculate fractions
There is no solution for this equation
What is the mode?
1 4 4 1 1 0 6 6 6 1
Answers
The mode is 1.
It was repeated 4 times whereas 6 was only repeated 3 times, 4 twice, and 0 once.
Answer: 1
The mode is the number that occurs the most within the set of numbers. If the set of numbers is as follows: 1, 4, 4, 1, 1, 0, 6, 6, 6, 1, then the answer is one(1).
However, if the set of numbers appear as follows: 14, 41, 10, 66, 61, then there is no mode.
A. y = |x - 4| - 2
B. y = |x + 4| + 2
C. y = |x - 4| + 2
D. y = |x + 4| - 2
Answers
Hope this help!
Pls help me in these questions i will mark u brainliest.
Answers
Answer:
each angle is 83
Step-by-step explanation:
166÷ 2 = 83
check
83+83=166
hope it helps!!
Answer:
sum of two vertically angle =166°
X=166°/2 = 83°.
hence, each angle is equal to 83°.
X=
A juice factory offers its juice in both bottles and cans. A class of students on a field trip decides to compare the numbers on cases of bottled juice and canned juice that are packaged each minute. The students count the number of cases that are packaged on each assembly line over several minutes.
Answers
The unit rate for canned juice, in cases per minute is; 50 cases per minute is; cases per minute
How to find the unit rate?From the attached file, we see that it is a graph showing canned juice on the y-axis and time taken in minutes on the x-axis.
Now, to find the unit rate also means to find the slope from 2 defined points. From the given graph, we will take the coordinates;
(1, 50) and (2, 100)
Thus;
Slope = (100 - 50)/(2 - 1)
Slope = 50 cases per minute
Thus, the unit rate for canned juice, in cases per minute is; 50 cases per minute.
Read more about unit rate at; https://brainly.com/question/19493296
#SPJ1
Complete question is; A juice factory offers its juice in both bottles and cans. A class of students on a field trip decides to compare the numbers of cases of bottled juice and canned juice that are packaged each minute. The students count the number of cases that are packaged on each assembly line over several minutes.
What is the unit rate for canned juice, in cases per minute? Explain how you found this unit rate.
please help!
does the circle have a radius or diameter?
Answers
Answer:
the circle has a radius
Step-by-step explanation:
On Sunday, 69% of the tickets sold at a theme park were children tickets, the rest were adult tickets. If the theme park sold 260 tickets in all, about how many children tickets were sold on this particular day?
Answers
Answer:
182
Oh and btw, its funny because I'm in your 6th period class. And i was looking up the answer and couldn't find it so when i found your i decided to help you answer it too
-Mikey
Answer:182
Step-by-step explanation:
Hunter read 12 books in 2 months. If he reads at a constant rate, how many books did
he read in one month? Give your answer as a whole number or a FRACTION in
simplest form.
PLS ANSWER QUICK
Answers
Answer:Hunter read 6 months in a month
Step-by-step explanation:
12/2=6 books in a month
Answer:
6 Books a Month
Step-by-step explanation:
12 / 2 = 6
Name all the angles that have V as a vertex.
Answers
Answer:
Angle 3
Angle 4
Angle DVE
Angle FVE
Angle DVF
The angles that have V as a vertex are:
[tex]\angle 3 \\\\\angle 4\\\\\angle DVF\\\\\angle DVE\\\\\angle EVF[/tex]
Recall:
A vertex of any angle is simply the corner of an angle that forms a V-shape.Three points make up an angleLetters can be used to represent the three points
The letter at the middle of the three letters is the vertex of the angle
Angles can be named using the numbers that are used in labelling the vertex of each angle
Thus, from the given image,
Each of the following angles has V as the vertex of its angle:
[tex]\angle 3 $ and $ \angle 4[/tex] has vertex V[tex]\angle DVF, $ \angle DVE, $ and \angle EVF[/tex] has V as a vertex.
Therefore, the list of all angles having V as a vertex are:
[tex]\angle 3 \\\\\angle 4\\\\\angle DVF\\\\\angle DVE\\\\\angle EVF[/tex]
Learn more here:
https://brainly.com/question/2948510
A. Consider a t distribution with 16 degrees of freedom. Compute P (-1.63
B. Consider a t distribution with 13 degrees of freedom. Find the value of c
such that [tex]P (t \leq c)= 0.05[/tex] Round your answer to at least three decimal places.
c=
Answers
Answer:
2.456%
Step-by-step explanation:
The Yates family’s cell phone bill is $175 a month. How much will they pay for a year (12 months)?
Answers
Answer:
The Yates phone bill will be $2100 for a year.
Step-by-step explanation:
175x12=2100
Answer:
2100
Step-by-step explanation:
but i think i be broke after that
Just for you :) happy thanksgiving
Answers
Answer:
thksss and happy thanksgiving to you 2
Step-by-step explanation:
Every quadrilateral is a rhombus true or false
Answers
Answer:
false
Step-by-step explanation:
Answer:
false
Step-by-step explanation:
. 。 • ﾟ 。 .
. . 。 。 .
. 。 ඞ 。 . • •
ﾟ Josie was not An Impostor. 。 .
' 1 Impostor remains 。
ﾟ . . , . .