Andre and Mai are discussing how to solve for side AB. Andre thinks he can
use the equation tan(12 degrees)=x/6 to solve for AB. Mai thinks she can use
the equation tan(78 degrees)=6/x to solve for AB. Do you agree with either of
them? Show or explain your reasoning.
Answers
Answer:
Both Andre and Mai are correct
Step-by-step explanation:
A drawing of the the triangle ΔABC is created with MS Visio and attached here
In the drawing, we have;
Segment AB = x
Segment AC = 6
By trigonometric ratio, in a right triangle we have;
[tex]Tan(\angle X) = \dfrac{The \ length \ of \ the \ opposite \, side \ to \ \angle X }{The \ length \ of \ the \ adjacent\, side \ to \ \angle X}[/tex]
Where 'X' = 12° as shown in the figure, we have;
[tex]tan(12 ^{\circ}) = \dfrac{AB}{BC} = \dfrac{x}{6}[/tex]
Therefore, Andre is correct
Similarly, we have;
[tex]tan(78 ^{\circ}) = \dfrac{BC}{AB} = \dfrac{6}{x}[/tex]
Therefore, Mai is also correct
Therefore, Andre and Mai are correct.
Related Questions
A function h(x) has zeroed at x=-6 and x=12 where does the function g(x) =h(3x) have zeroed?
Answers
Answer:.
Step-by-step explanation:.
There are two jars with marbles. The first jar contains 3 red, 4 green, and 5 blue marbles. The second jar contains 4 red, 2 green, and 6 blue marbles. What is the probability of the randomly drawing a green marble from the first jar and blue marble from the second jar
Answers
Answer:
both jars contain 12 marbles
for the first jar the probability is 4/12 which is 33%
for the second jar the probability is 6/12 which is 50%
Step-by-step explanation:
Answer:
1/6
Step-by-step explanation:
theres 12 mables in each jar in this situation.
Janice needs 3 gallons of lemonade for a party. She has 4 quarts, 6 pints, and 4 cups of lemonade already made. How many more cups does she need.
Answers
4 quarts is 1 gallon
6 pints is 0.75 gallons
4 cups is 0.25 gallons
if you add all of those you would get 2 gallons
so Janice would need 1 more gallon of lemonade
whats the value of 2 [ 2(14+1) ] - 6
Answers
Answer:54
Step-by-step explanation:
Answer:
54
Step-by-step explanation:
2[2(15)]-6 =
2[30]-6 =
60-6 = 54
A cylinder has a height of 7 yards and a radius of 14 yards. What is its volume? Use ≈ 3.14 and round your answer to the nearest hundredth.
Answers
The answer to the nearest hundredth, the volume of the cylinder is approximately 4309.28 cubic yards.
To calculate the volume of a cylinder, we can use the formula V = πr²h, where V is the volume, r is the radius, and h is the height.
Radius (r) = 14 yards
Height (h) = 7 yards
Approximation of π = 3.14
Substituting these values into the formula, we have:
[tex]V = 3.14 \times(14^{2} )\times 7[/tex]
First, let's calculate the value of (14²):
[tex]14^{2} = 14 \times 14 = 196[/tex]
Now, substitute the values back into the formula:
[tex]V = 3.14 \times 196 \times 7[/tex]
Next, perform the calculations:
[tex]V = 3.14 \times 1372[/tex]
V ≈ 4309.28
For similar question on cylinder.
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What is the total surface area of a dog food can which has a diameter of 5 inches and a height of 7
inches?
Answers
Answer:
35.................
On Claudia's birthday, her parents open a savings account and deposit SS. They also deposit $50 each
year after that on her birthday. The account eams interest at an annual rate of 7% compounded annually
Caudia will make no withdrawals from the account for at least 15 years Complete the table to find how
much Caudla will have in her account at the end of the fifth year. Then compare this amount to the
$290.10 that would be in her account if she had received 5% interest.
Answers
Which expression is equivalent to 4x - (8x + 3) - 2?
T
A
12x + 1
B
-12x - 5
с
-4x - 1
D
-4x - 5
Answers
Answer:
-4x - 5
Step-by-step explanation:
4x - (8x + 3) - 2
Dstribute the negative
4x - 8x - 3 - 2
combine like terms
-4x -5
10 POINTS!!!!!!! write an equation for a line that goes through the point (-3,-4) and has a slope on -2
Answers
Thats Metal In Ya LungsThats Metal In Ya LungsThats Metal In Ya LungsThats Metal In Ya LungsThats Metal In Ya LungsThats Metal In Ya LungsThats Metal In Ya LungsThats Metal In Ya LungsThats Metal In Ya Lungs
Find the mode for the given data set.
A.) 6
B.) 34
C.) 37
Answers
Answer:
its b 34
Step-by-step explanation:
Answer:
the actual answer is 37. I have the assignement and 37 was correct.
Step-by-step explanation:
What is the volume of this figure? Round to the nearest tenth if necessary.
14 m
24 m
7 m
25 m
Answers
Answer:
V = 392 m³
Step-by-step explanation:
Volume rectangular prism
V = (1/3)AH
H is the height of the prism
A is the area of the base triangle
A = (1/2)bh
A = (1/2)(7)(24)
A = 84
V = (1/3)(84)(14)
V = 392 m³
Mrs.Smith stacked 6 cubes on top of one another to make a tower. If the tower is sitting on the floor, how manyof the cubes faces can Mrs.Smith see?
Answers
Answer: 25 faces
Step-by-step explanation:
Given
6 cubes are stacked over each other
Mr. Smith wants to count the number of faces
The faces which are in contact with each other are not visible to Mr. smith i.e. there will be 5 cubes with only 4 faces available and only one cube with 5 faces available, that is placed on the top.
No of visible faces
[tex]\Rightarrow 4\times 6+1\quad \quad [\text{6 cubes with 4 faces visible+face of top cube}]\\\Rightarrow 25\ \text{faces}[/tex]
what is this equation factored
49x²-1
Answers
Find the value of y for the given value of x. y=x/3+5;x=6
Answers
Answer: Y= 7, X= 6
Step-by-step explanation:
What is the volume of a rectangular prism with the length of 4.5 ft, the width of 3.5 ft, and the height of 5.5 ft?
Answers
Answer:
The volume would be 86.63 feet squared
Hope this helps!
Mark me brainliest if I'm right :)
As altitude within the troposphere increases, the amount of water vapor in the atmosphere generally: PLEASE HELP ME!!!
A. decreases, only
B. increases, only
C. remains the same
D. decreases, then increases
Answers
As altitude within the troposphere increases, the amount of water vapor in the atmosphere generally decreases.
What happens in the troposphere as you increase in altitude?The bottom of the troposphere, close to ground level, has the warmest air. As one ascends into the troposphere, the air becomes cooler. Because of this, tall mountains' peaks might still have snow on them in the summer. Along with decreasing with altitude, so do air pressure and air density.
As, The troposphere's temperature and water vapour content drop sharply with altitude.
This is because it absorbs solar energy and thermal radiation from the planet's surface, water vapour plays a significant role in controlling the temperature of the atmosphere.
99% of the water vapour in the atmosphere is found in the troposphere.
Thus, the water vapor decreases.
Learn more about Troposphere here:
https://brainly.com/question/15011302
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To construct a compound pulley with an ideal mechanical advantage of 6 you would arrange several fixed and movable pulleys so that a total of ... rope segments were pulling up on the load
Please give correct answer!
Answers
Answer:
6.
Step-by-step explanation:
A simple machine can be defined as a type of machine with no moving parts but can be used to perform work.
Basically, a simple machine allows for the transformation of energy into work. The six simple machines are; lever, wedge, inclined plane, screw, wheel and axle, and pulley.
A pulley is typically made up of a wheel and rope which allows force to be multiplied such as in a drawing well.
In order to construct a compound pulley with an ideal mechanical advantage of 6 you would arrange several fixed and movable pulleys so that a total of 6 rope segments were pulling up on the load.
Hence, you need 6 pulley wheels and 6 rope segments to construct a compound pulley with an ideal mechanical advantage of 6.
To find the ideal mechanical advantage;
Mathematically, IMA is given by the formula;
[tex] IMA = \frac {distance \; over \; which \; the \; effort \; is \; applied}{distance \; the \; load \; travels} [/tex]
NB: The ideal mechanical advantage has no units.
Find the radius of the button.
radius: ___ cm
Answers
Answer:
the radius is 2.5 cm
Step-by-step explanation:
Half of your diameter is your radius
help me pls. not links pls
Answers
y = 1/2x
step-by-step explanation:
first find the y-intercept or b
it is 0
next find the slope, rise/run
it is 5/10 or 1/2x
putting those in the equation it would be
y = 1/2x
because the y-intercept is 0 you wouldn’t add it
I NEED HELP BADLY PLEASE
Answers
Answer:
m(DE) = 90°
Step-by-step explanation:
Since both circles are equal, therefore, their radius would be equal too.
m<S = 180 - right angle (angles on a straight line)
m<S = 180 - 90 = 90°
m<R = m<S (congruent triangles)
m<R = 90°
m<R = m(DE) (central angle = intercepted arc based on the central angle theorem)
Substitute
90° = m(DE)
m(DE) = 90°
Tonya has $7.85. How much does she need to make $10.00? $7.85 $3.85 C $2.15 $4.15
Answers
Answer:
C) $2.15
Step-by-step explanation:
I SUBTRACTED 7.85 FROM 10.00 AND THE DIFFERENCE WAS $2.15.$10.00
- $_7.85
$ 2.15
IF YOU AWNSER WROnG YOu ARE DUmmmm. Convert to slope intercopt form 4x + 3y = 6
Answers
Answer:
The slope-intercept form is
y
=
m
x
+
b
, where
m
is the slope and
b
is the y-intercept.
y
=
m
x
+
b
Step-by-step explanation:
Total area
yeah i would please love some help
Answers
2 = 900 (50 x 18)
What is the slope of AB?
Can anyone help me ??
Answers
Answer:
1/2
Step-by-step explanation:
Point A is (2, 3)
Point B is (6, 5)
To get the slope of a line, first select any two points on that line.
Then, take the difference of the y values, and divide it by the difference of the x values. This is also known as the change in y over the change in x, or rise over run.
[tex]\frac{3-5}{2-6} =\frac{-2}{-4} =\frac{1}{2}[/tex]
1/2 is the slope.
Spinner A and Spinner B have 4 color choices each: grey, orange, blue and yellow. What is the probability of getting a Blue and Grey combination from the area model below?
Answers
Answer:
The probability of getting a Blue and Gray combination is 6.25%.
Step-by-step explanation:
Given that Spinner A and Spinner B have 4 color choices each: gray, orange, blue and yellow, to determine what is the probability of getting a Blue and Gray combination from the area model below, the following calculation must be performed:
Blue / Total: 1/4
Gray / Total: 1/4
1/4 = 0.25
0.25 x 0.25 = X
0.0625 = X
0.0625 x 100 = 6.25
Therefore, the probability of getting a Blue and Gray combination is 6.25%.
Answer:
answer is 1/8
Step-by-step explanation:
just took the quiz trust me this the answer
2x – 5x + 16 = –3(x – 6)
Answers
Answer:
0=2
There are no solutions
Step-by-step explanation:
Answer:
2x – 5x + 16 = – 3(x – 6)
-3x + 16 = - 3x + 18
-3x + 3x + 16 = 18
16 = 18
Thus, This is a False Equation
-TheUnknownScientist
In a right triangle, the side opposite angle α has a length of 11.1 feet, the side adjacent to angle α has a length of 13.4 feet, and the hypotenuse has a length of 17.4 feet. What is the value of cos(α)?
a. 0.638
b. 0.828
c. 0.770
d. 1.299
Answers
Answer:
C
Step-by-step explanation:
Robert owns three-eighths of a florist shop worth $76,000. What is the value of Robert’s share of the business?
Answers
Answer:
It should be $28500
Step-by-step explanation:
76000 x 3/8 = 28500
value of shop:76000
robert owns:3/8
$76,000 divided by 3 = $25,333.33 :)
Someone please help me I’ll give out brainliest please dont answer if you don’t know
Answers
Answer:
turtles are vulnerable. so A is your correct answer
Step-by-step explanation:
. In Paige's class, 13 of the 20 students were born in Texas. Based in the
information, if there are
8010 students at the school, how many students could
be expected to have been
born in Texas?
A.600 students
B.480 students
C.520 students
D.560 students
Answers
Answer:
Road shimmer
Wiggling the vision
Heat heat waves
I'm swimming in a mirror
Road shimmer
Wiggling the vision
Heat heat waves
I'm swimming in a
Sometimes, all I think about is you
Late nights in the middle of June
Heat waves been faking me out
Can't make you happier now
Sometimes, all I think about is you
Late nights in the middle of June
Heat waves been faking me out
Can't make you happier now
Usually I put
Something on TV
So we never think
About you and me
But today I see
Our reflections
Clearly in Hollywood
Laying on the screen
You just need a better life than this
You need something I can never give
Fake water all across the road
It's gone now the night has come but
Sometimes, all I think about is you
Late nights in the middle of June
Heat waves been faking me out…
Answer:490
Step-by-step explanation: