Answers
Answer:
[tex]x = 56[/tex]
Step-by-step explanation:
Use tangent function.
[tex] \tan(x) = \frac{18}{12} [/tex]
Take the arctan
[tex] \tan {}^{ - 1} ( \frac{18}{12} ) [/tex]
which is about
0.98279372.
Convert from radians to degrees in you will get
56 degrees.
Answer:
Step-by-step explanation:
You can solve this by using trigonometry and the formula SOH CAH TOA. You're looking for an angle that is adjacent (next to) 12, and opposite 18. Therefore, you will needed to use TOA, which stands for tangent = opposite/adjacent.
With substitution, this gives you tangent = 18/12. 18/12 is equal to 1.5. Because we are looking for an angle we need to use the tan^-1 (tan to the power of -1) button on our calculator. Tan(1.5)^-1 equals 56.31 to 2dp.
Hope this helps!
Related Questions
Between which two integers does -√46 appear on the number line please write in words
Answers
==========================================================
Explanation:
List out the perfect squares
1^2 = 12^2 = 43^3 = 94^2 = 165^2 = 256^2 = 367^2 = 498^2 = 64and so on. We can see that 46 is between 6^2 = 36 and 7^2 = 49.
We can say 6^2 < 46 < 7^2
Applying the square root to all three sides leads us to 6 < sqrt(46) < 7
Now multiply all three sides by -1. This will flip the inequality signs
We go from
6 < sqrt(46) < 7
to
-6 > -sqrt(46) > -7
It might help to order things from smallest to largest to get this
-7 < -sqrt(46) < -6
This means -sqrt(46) is between -7 and -6 on the number line
See the diagram below.
Answer:
Step-by-step explanation:
First notice that -√46 lies between -√49 and -√36, that is, between
-7 and -6.
Here all three numbers are negative because they lie to the left of zero (0) on the number line.
Solve the following equations:
a)
4b = 20
Answers
Answer:
b = 5
Step-by-step explanation:
You want to get b on one side alone so you divide by 4.
20 divided by 4 is 5.
Answer:
b = 5
Step-by-step explanation:
4b = 20
Whatever we do to one side of the equation, we have to do to the other.
To "isolate the variable", or get "b" by itself, we have to divide both sides by 4
4b divided by 4 is b, since "4b = 4 times b"
20 divided by 4 is 5
4b = 20
b = 5
PLZZZZZ HELP ME ANYONE PLEASE HELP ME :(! Marcus has a box that is 4 1/2 feet long, 1/2 foot wide, and 2 feet high. What is the volume of the box?
Answers
Answer:
4.5
Step-by-step explanation:
Of the first fifteen kindergartners, four of them select treat bags containing bubbles, and eleven of them select treat bags containing sidewalk chalk.
The next kindergartner in line is ____ to select a treat bag containing bubbles than of sidewalk chalk
Equally likely
Less likely
More likely
Answers
That is the question below!
Answers
Answer:
Step-by-step explanation:
Dhehekej
A line is perpendicular to y=3x-8 and intersects the point (6,1). How can we find the slope of this perpendicular line?
Answers
Answer:
- [tex]\frac{1}{3}[/tex]
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
y = 3x - 8 ← is in slope- intercept form
with slope m = 3
Given a line with slope m then the slope of a line perpendicular to it is
[tex]m_{perpendicular}[/tex] = - [tex]\frac{1}{m}[/tex] = - [tex]\frac{1}{3}[/tex] ← slope of perpendicular line
Answer:
The Answer is B: We must find the opposite reciprocal of the slope of the line whose equation we were given.
Step-by-step explanation:
I have the same exact question and I also do acellus.
can somebody please help, i'll mark you as brainiest and no links:)
Answers
Answer:
[tex]28[/tex]
Step-by-step explanation:
The formula for the area of the shape is given is equal to its base multiplied by its height. We're given a base of 7 and height of 4, hence the area is [tex]7\cdot 4=\boxed{28}[/tex]
28!
Hope this helps
Greatest common factor for 16uv^8 and 28u^7v^2y^3
Answers
Answer: 3
Step-by-step explanation:
I think…
Suzie's Slushes has increasing profits each week during the hot summer months. Suzie finds that each week during the summer her profits increase by 30% over what they were the previous week. In her first week of business, her profits were $300.
How much money will she make in all over 4 weeks?
Enter your answer, rounded to the nearest cent, in the box.
HELP FAST PLEASE
Answers
Answer: 1856.10
Step-by-step explanation:
Suzie will make $1856 in 4 weeks.
Suzie will make a profit of:The first week 300
The second week: 300 x 30% + 300 = 390
The third week: 390x (1430%) = 507
The fourth week: 507 × (1430%) = 659.1
So Sum to: 300 +390 +507 +659.1 = 1856.1
Profit is $1856.
Learn more about profit here: brainly.com/question/19104371
#SPJ2
Please help due today
Answers
Answer:2.3
Step-by-step explanation:
Cut the the shape into a right triangle and a rectangle
Tri: find measure of the base
sin(45)= opp/hyp
= x/1.8
1.8 *sin (45) = x
x = 1.3
base of tri = 1.3
Area of tri = 1/2bh
1/2(1.3)(1.3)
=0.845
Area of rectangle: 1.1*1.3=1.43
Total area = 1.43+0.845
=2.245
=2.3m^2
Use the line of best fit to predict the total amount of money earned in tips
after working 12 hours.
A. $100
B. $102
C. $120
D. $112
Answers
Answer:
So its C! Heart it if its explained well, thanks!
Step-by-step explanation:
There is a pattern. The ordered pairs look like this...(1,10), (2,20), (3,30), (8,80) etc. So if we keep going (12,120)
Answer:
C
Step-by-step explanation:
calculate the area of the rectangle with length 9cm and breadth 4cm
Answers
Answer:
36cm^2
Step-by-step explanation:
the answer is
area of rectangle =l×b
=9×4.
=32
Find value of x
A.)46
B.)80
C.)15
D.) 26
Answers
The two angles are supplementary angles, which when added together equal 180 degrees.
6x -10 + 6x +10 = 180
Combine like terms:
12x = 180
Divide both sides by 12:
x = 180/12
x = 15
The answer is C) 15
PLEASEEEEEEEEEEE HELPPPPPPPPPPPP!!!!!!! ASAPPPPPPP TYSM
Answers
Answer:
c
Step-by-step explanation:
Two lines are intersecting. What is the value of x? Enter your answer in the box. Two straight lines intersecting each other where the consecutive angles formed are x plus twenty three degrees and two x plus four degrees.
Answers
Answer:
x = 51
Step-by-step explanation:
Supplementary angles total 180º
(2x + 4) + (x + 23) = 180
Combine like terms
3x + 27 = 180
Subtract 27 from both sides
3x = 153
Divide both sides by 3
x = 51
Answer:
Hello! x = 51
Step-by-step explanation:
OMG I CAN ANSWER FINALLY!
it is forming a supplementary angle meaning it will add up to 180 degrees
51 × 2 = 102 102 + 4 = 106
51 + 23 = 74
106 + 74 = 180 therefore x = 51 Hope that helps.
Express sin P as a fraction in simplest terms.
Answers
Answer:
1/15
Step-by-step explanation:
sin P = ON/PN = 2/30 = 1/15
Triangle EFG is congruent to triangle YXZ by ASA. The congruent parts already marked in the picture. What other corresponding parts can be marked congruent by CPCTC? Select all that apply.
EG ≅ YX
∠F ≅ ∠X
∠E ≅ ∠G
∠F ≅ ∠Z
∠G ≅ ∠X
GF ≅ ZX
EF ≅ YX
EF ≅ ZY
Answers
Given:
Triangle EFG is congruent to triangle YXZ by ASA.
To find:
The other corresponding parts can be marked congruent by CPCTC.
Solution:
We have,
[tex]\Delta EFG\cong \Delta YXZ[/tex]
We know that the corresponding parts of congruent triangles are congregant (CPCTC). So,
[tex]\angle E\cong \angle Y[/tex]
[tex]\angle F\cong \angle X[/tex]
[tex]\angle G\cong \angle Z[/tex]
[tex]EF\cong YX[/tex], it is also written as [tex]FE\cong XY[/tex]
[tex]FG\cong XZ[/tex], it is also written as [tex]GF\cong ZX[/tex]
[tex]EG\cong YZ[/tex], it is also written as [tex]GE\cong ZY[/tex]
Therefore, the correct options are 2, 6 and 7.
What is the slope of the line that contains the points (-2,7) and (2,3)?
Answers
The difference of the square of a number and 18 is equal to 3 times that number. Find the positive solution.
Answers
Answer: x=6 or x=-3
Step-by-step explanation:
x^2-18=3x
x^2-3x-18=0
(x-6)*(x+3)=0
x-6=0 x+3=0
x=6 x=-3
Pls help!! Will mark brainliest
Answers
contraction
expansion
expansion
(negative sign = contraction)
Hope this helps ;)
Answer:
-5 = Contraction
-(1/4) = Contraction
3.5 = Expansion
(6/7) = Expansion
Step-by-step explanation:
Contraction means decreasing and expansion means increasing. So the numbers containing negative signs are contraction and the numbers containing positive signs are expansion.
Hope this will help and if so, please mark me brainliest.
A silo has a diameter of 50 feet and a height of 30 feet with a cone on top adding another 10 feet of height. What is the volume of the silo.
Answers
Answer:
Step-by-step explanation:
Solve this by adding the volume of the cylinder with the volume of the cone. The volume of a cylinder is found from the equation:
pi * r^2 * h
In this case that gives pi * 50^2 * 30 = 75000pi
The area of the cone is found from the equation:
pi * r^2 * h *1/3
In this case you get pi * 50^2 * 10 * 1/3= 8333.pi
Add the two to ger 83333.333*pi ~261799
Which equation could be used to find the length of the hypotenuse?
Triangle A B C. Side A C is 5 centimeters and side C B is 8 centimeters. Hypotenuse A B is labeled c.
5 squared + 8 squared = c squared
5 squared + c squared = 8 squared
c squared minus 5 squared = 8 squared
8 squared minus 5 squared = c squared
Answers
Answer:
AC^2+BC^2= AB^2
So 5^2+8^2=c^2
5 squared + 8 squared = c squared
Please mark me as brainliest.
help me please i could really use some help
Answers
the answer is in the picture
Tao uses elimination to solve the following system of linear equations.
Answers
Given:
The system of equation is:
[tex]-2x+4y=16[/tex]
[tex]2x+2y=8[/tex]
To find:
The solution of the given system of equations.
Solution:
We have,
[tex]-2x+4y=16[/tex] ...(i)
[tex]2x+2y=8[/tex] ...(ii)
Add (i) and (ii) to eliminate the variable x.
[tex]6y=24[/tex]
[tex]y=\dfrac{24}{6}[/tex]
[tex]y=4[/tex]
Putting [tex]y=4[/tex] in (ii), we get
[tex]2x+2(4)=8[/tex]
[tex]2x+8=8[/tex]
[tex]2x=8-8[/tex]
[tex]2x=0[/tex]
Divide both sides by 2.
[tex]x=0[/tex]
Therefore, the solution of given system of equations is (0,4). Hence, the correct option is A.
Answer:
(0,4) or A
Step-by-step explanation:
Edge 2021
Which fraction is equal to a whole number? 10/4. 8/4. 3/6. 7/8
plz help
Answers
Answer:
[tex]\frac{8}{4}[/tex] = 2
Step-by-step explanation:
Divide numerator by denominator
[tex]\frac{10}{4}[/tex] = 2.5 ← not a whole number
[tex]\frac{8}{4}[/tex] = 2 ← a whole number
[tex]\frac{3}{6}[/tex] = 0.5 ← not a whole number
[tex]\frac{7}{8}[/tex] = 0.875 ← not a whole number
Tom bought a pizza. He ate 1/3 of the pizza and gave some of it to his brother. He was left with 1/5 of the pizza. What fraction of the pizza did he give to his brother?
Answers
Answer:
2/3 = 10/15
1/5 = 3/15
10/15 - 3/15 = 7/15 of the pizza to his brothers
Which could be the first step in solving the equation represented by the model below?
X X X x
II
O Add 4 negative unit tiles to both sides.
O Add 4 negative unit tiles to the left side, and add 6 negative unit tiles to the right side.
O Add 4 positive unit tiles to both sides.
O Add 6 negative unit tiles to the left side, and add 4 negative unit tiles to the right side.
Answers
O Add 6 negative unit tiles to the left side, and add 4 negative unit tiles to the right side.
Find the measure of arc ABC.
Answers
Answer:
Step-by-step explanation:
The angle (angle D) created by 2 tangents to a circle (DC and DA) is half of the difference between its intercepted arcs (arc ABC - arc AC):
[tex]65=\frac{1}{2}(x-[360-x])[/tex] If we don't know the measures of either of the arcs, but we DO know that the measure around the outside of a circle is 360 degrees, then we will call arc ABC "x", making arc AC "360 - x". Solving:
2(65) = 2x - 360 and
130 = 2x - 360 and
130 + 360 = 2x and
490 = 2x so
x = 245. This means that arc ABC is 245 and arc AC is 115.
Two researchers are studying the decline of orangutan populations. In one study, a population of 784 orangutans is expected to decrease at a rate of 25 orangutans per year. In a second study, the population of a group of 817 orangutans is expected to decrease at a rate of 36 per year. After how many years will the two populations be the same?
The two populations will be the same after
years.
Answers
Answer:
3 years
Step-by-step explanation:
Let y = number of orangutans, and let x = number of years.
For each study, the population, y, after x years is:
First study:
y = 784 - 25x
Second study:
y = 817 - 36x
We set the populations equal and solve for x, the number of years.
784 - 25x = 817 - 36x
Add 36x to both sides. Subtract 784 from both sides.
11x = 33
Divide both sides by 11.
x = 3
Answer: 3 years
What is 20.1246117975 in Radical form
Answers
Square root of 405
/405
/81 x 5
9 / 5
9 Times Square root of 5 :)