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.
the difference of a number and 7
Answer:
x-7
Step-by-step explanation:
The graph of y = f(x) is shown below. What are all of the real solutions of f(x) = 0?
x = -8, x = 7. It can also be put into coordinate form based off what the website is looking for.
But solutions to a quadratic equation is essentially where the line crosses the 'x' line.
8(3x – 6) = 6(4x + 8)
Answer: 0 = 96
Step-by-step explanation:
Answer:
The Answer is 0=96
Molly O'Rourke assembles computers for Radius Computer. She works 8 hours per
day less 2 breaks at 15 minutes per break. She spends 45 minutes on each
computer. How many computers should she be able to assemble in one day?
Answer:
10
Step-by-step explanation:
I converted 8 hours to minutes so solve the equation easily
8 hours = 480 minutes
I subtracted the amount of time she takes for a break
480- (15+15) = 450
To find the number of computers she could repair I divided 450 by the number of minutes she spends repairing one computer.
[tex]\frac{450}{45}[/tex]= 10
Therefore, she could fix 10 computers during her 8 hours of work.
__________________________________________________________
Hope this helps!!
If I am wrong, please tell me, I enjoy learning from my mistakes:)
Am I right? Should I've to add more info?(only about Rectangle and Square)
Answer:
Yh its right.
Step-by-step explanation:
Have a great day!
Answer:
yeah it is correct
Step-by-step explanation:
and well hruu
Please help me with this math problem!! NO LINKS PLEASE!! DUE TONIGHT AT 11:59PM!! THANKS!! :)
[tex]\sin \gamma = \dfrac wk\\\\\\\tan \varphi = \dfrac mw\\\\\\\tan \gamma = \dfrac wm[/tex]
The area of rhombus is 360cmsquare and one of its diagonalis 18cm. Find the other diagonal.
Answer: 40 cm
So the diagonal formula is - 1/2* (d1*d2) d1 is the first diagonal and d2 is the second diagonal.
So,
1/2 * (18*d2)= 360
18*d2= 360*2
d2= 720/18
d2= 40
Which situation could this graph represent?
a. speed of a car starting from a stop sign and then approaching a stoplight
b. riding your bike slowly up a steep hill and then quickly down the other side
c. total rainfall during a rainy day
d. temperature as the weather changes from rainy to snowy
Answer:
A because the other answer choices are not associated with what is in the graph
Math problem (easy)
……………………………………..
A box has 30 pencils in it.the probability of picking a red pencil is 1/6.How many red pencils are in the box
Answer:
[tex]\huge\boxed{\sf 5\ red\ pencils}[/tex]
Step-by-step explanation:
Total pencils = 30
Probability of picking a red = 1/6
Red pencils in the box = probability × total pencils
= 1/6 × 30
= 5 red pencils
So, there are 5 red pencils in the box.
[tex]\rule[225]{225}{2}[/tex]
Hope this helped!
~AH1807A line passes through (-5, -3) and is parallel to -3x - 7y = 10. The equation of the line in slope-intercept form is _____.
Answer: y = -(3/7)x - (36/7)
Step-by-step explanation:
Let's convert -3x - 7y = 10 to standard slope intercept form: y=mx + b, where m is the slope and b is the y-intercept (the value of y when x=0).
-3x - 7y = 10
-7y = 3x + 10
y = -(3/7)x - (10/7)
This line has a slope of -(3/7). Any line that is parallel will have the same slope, so we can write y = -(3/7)x + b to start our new line.
We want a value of b that forces the line to go trough point (-5,-3). Use this point in the partial equation and solve for b:
y = -(3/7)x + b
-3 = -(3/7)(-5) + b
-3 = (15/7) + b
b = -3 - (15/7)
b = -(21/7) - (15/7)
b = -(36/7), or -5 1/7
y = -(3/7)x - (36/7)
ANSWER. Robert takes a roast out of the oven when the temperature of the roast is 165 F. After 15 minutes, the temperature of the roast drops to 135 F. The temperature of the room is 70 F. How long does it take for the temperature of the roast to drop to 110 F?
ANSWER IS 34
Took the test :)
Colby worked three more hours
on Tuesday than he did on Monday. On
Wednesday, he worked one hour more
than twice the number of hours that he
worked on Monday. If the total number
of hours is two more than five times the
number of hours worked on Monday,
how many hours did he work on
Mondav?
Select all of the phrases that could be
represented by the algebraic expression
3n - 3
This doesn’t make sense
The phrases that can be represented as the algebraic expression, 3n - 3 are: Option 3 and Option 5.
Let's translate each of the given phrases to algebraic expressions in order to determine which of them can be represented as 3n - 3.
Option 1:
3 fewer than n is represented as, n - 3
Option 2:
difference between n and 3 is represented as, n - 3.
Option 3:
3 times n is 3n
3 fewer than 3n is represented as 3n - 3.
Option 4:
product of 3 and n is represented as 3n.
Option 5:
3 less than 3n is represented as 3n - 3.
Therefore, the phrases that can be represented as the algebraic expression, 3n - 3 are: Option 3 and Option 5.
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Which is correct? I wanna make sure im right
it is letter C. 3.9
hope it helps
#Chloe919
#thanks for the points
#carry on learning
The equation of line c is y = 5* - . Line d is parallel to line c and passes through (2, 6).
What is the equation of line d?
Write the equation in slope-intercept form. Write the numbers in the equation as simplified
proper fractions, improper fractions, or integers.
Answer:
Step-by-step explanation:
y = 5x is the reference line (as best as I can interpret " y = 5* - .").
We want a line, y=mx+b, where m is the slope and b is the y-intercept, that is parallel to y=5x.
Parallel lines will have the same slope as the reference line, in this case m=5. Our new line will take the form of y=5x+b. An important difference is that the new line must go through (2,6). We need to find a value of b that will make that work.
Use y=5x + b with point (2,6) and solve for b:
6 = 5*(2) + b
b = -4
The line that is parallel to y=5x and goes through the point (2,6) is thus:
y = 5x - 4
See the attachment.
The equation of line [d] in the slope intercept form can be written as -
y = 5x - 4
What is the general equation of a straight line?The general equation of a straight line is of the form -
y = mx + b
where -
[m] is slope of line
[b] is y - intercept
Given is the equation of line [c] is y = 5x and Line [d] is parallel to line [c] and passes through (2, 6).
The equation of line [d] in the slope intercept form can be derived as follows -
Slope of line [c] = Slope of line [d] (parallel lines)
m[d] = 5
Assume the equation of line [d] as -
y = m[d]x + b
6 = 5 x 2 + b
b = 6 - 10
b = - 4
The equation will be -
y = 5x - 4
Therefore, the equation of line [d] in the slope intercept form can be written as -
y = 5x - 4
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This is a Function?
O True
O False
Answer:
true
Step-by-step explanation:
Help meeeeeeeeeeeeeeee
Answer:
D.
Step-by-step explanation:
Complementary angles are two angles whose measures add to 90°.
A.
m<CFD = 150° - 100° = 50°
m<EFD = 180° - 150° = 30°
Sum = 80°
No
B.
m<AFB = 40°
m<DFE = m<EFD = 30°
Sum = 70°
No
C.
m<AFC = 100°
Sum > 100°
No
D.
m<BFC = 100° - 40° = 60°
m<DFE = 30°
Sum = 90°
Yes
Answer: D.
I’m so confused help please
Answer:
B. 0
Step-by-step explanation:
If you subtract the right side expression and simplify, you get ...
4/5(20x +5) -(16x -2) = 0
16x +4 -16x +2 = 0
6 = 0 . . . . . . . . . . . . false
There is no value of x that will make this true. There are no solutions.
2 Divided by 1 / 5. Rlly need help on this
Answer:
The answer will be 10
Step-by-step explanation:
2/1/5=10
Please quickly do number 12 & 13 I'll give brainliest.
Answer:
y=3.7x + 120.3, 180
Step-by-step explanation:
Add them into a graphing calculator and you get y=3.7x + 120.3
Put 16 in for x:
3.7 (16) + 120.3
59.2 + 120.3 = 179.5, rounds to 180
STUDY TIP 1
Don't do all your studying the night before. Instead spread it out, review class materials several times a week, and focus on one topic at a time.
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Answer:
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FOR THE TIP.
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Need help fast on hs geometry please
[tex]\begin{gathered}15 = 4x + 3 \\ = > 4x = 15 - 3 \\ = > 4x = 12 \\ = > x = 3\end{gathered}
15=4x+3
=>4x=15−3
=>4x=12
=>x=3[/tex]
Therefore, YZ = 4x + 3 = 4(3) + 3 = 12 + 3 = 15Answers:
3, 15
Hope you could get an idea from here.
Doubt clarification - use comment section.
The sum of three consecutive integers is 42. Which of the equations could represent this relationship? Select the two correct answers.
x + (x + 1) + (x + 2) = 42
x + (x + 2) + (x + 4) = 42
The quadratic function g(x)=ax^2+bx+c has the complex roots (-7+4i) and (-7-4i)
What is the value of a?
What is the value of b?
What is the value of c?
Answers:
a = 1
b = 14
c = 65
===========================================================
Explanation:
Let's focus on the root x = -7+4i
Add 7 to both sides, then square both sides. Then get everything to one side so 0 is on the other side.
x = -7+4i
x+7 = 4i
(x+7)^2 = (4i)^2
(x+7)^2 = 16i^2
(x+7)^2 = 16(-1)
(x+7)^2 = -16
(x+7)^2+16 = 0
If you were to follow those steps for the other root -7-4i, then you should get the same result. Solving (x+7)^2+16 = 0 leads to the two complex roots -7+4i and -7-4i.
Expand out that expression to get it into standard form
(x+7)^2+16
(x+7)(x+7)+16
x^2+7x+7x+49+16
x^2+14x+65
The equation is now in y = ax^2+bx+c form
a = 1
b = 14
c = 65
If you were to plug those a,b,c values into the quadratic formula, you'll find that it leads to the two given roots -7+4i and -7-4i.
divide 3/7 by 1/2 i need answers
Answer:
6/7
Step-by-step explanation:
Find the term indecent of x in the expansion of (x^2-1/x)^6
By the binomial theorem,
[tex]\displaystyle \left(x^2-\frac1x\right)^6 = \sum_{k=0}^6 \binom 6k (x^2)^{6-k} \left(-\frac1x\right)^k = \sum_{k=0}^6 \binom 6k (-1)^k x^{12-3k}[/tex]
I assume you meant to say "independent", not "indecent", meaning we're looking for the constant term in the expansion. This happens for k such that
12 - 3k = 0 ===> 3k = 12 ===> k = 4
which corresponds to the constant coefficient
[tex]\dbinom 64 (-1)^4 = \dfrac{6!}{4!(6-4)!} = \boxed{15}[/tex]
I need help with this question ASAP!
Write an Equation in Slope Intercept form for the line described:
passes through (2.5, 0) and (0, 5)
Answer:
y=-2x+5
Step-by-step explanation:
m=(y2-y1)/(x2-x1)
m=(5-0)/(0-2.5)
m=5/-2.5
m=-2
y-y1=m(x-x1)
y-0=-2(x-2.5)
y=-2(x-2.5)
y=-2x+5
Please mark me as Brainliest if you're satisfied with the answer.
What is the volume of a rectangular prism with a length of 2x, a width of x−2, and a height of x + 2?
Therefore, 2x³ - 8x units³ is the volume of a rectangular prism.
Hoped this helped.
[tex]BrainiacUser1357[/tex]
(2x³ - 8x) is the volume of a rectangular prism.
What is volume?
Volume is defined as the space occupied within the boundaries of an object in three-dimensional space.
Given that, a rectangular prism with a length of 2x, a width of (x−2), and a height of (x + 2)
Volume: L x B x H
= (2x) × (x - 2)(x + 2)
= (2x) × (x² - 4)
= 2x(x² - 4)
= 2x³ - 8x units³
Hence, 2x³ - 8x units³ is the volume of a rectangular prism.
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