Answers
The measure of the unknown angle is 53 degrees.
The length of the unknown side of the blue triangle is 4.43 cm
Right angle triangleRight angle triangle have one of its angles as 90 degrees.
The sum of angle in a triangle is 180 degrees.
Therefore, the measure of the unknown angle can be calculated as follows:
let
x = unknown angle
x = 180 - 90 - 37 = 53°
Therefore, let's find the unknow length of the blue triangle.
tan 53 = opposite / adjacent
tan 53 = 6.9 / a
a = 6.9 / 1.327
a = 5.1996985682
a = 5.2
The green triangle hypotenuse = 5.2 + (5.2 - 2.6) = 7.8 cm
Therefore,
sin 59 = opposite / 7.8
opposite = 7.8 × 0.8571673007
opposite = 6.68590494548
opposite side = 6.69 cm
The hypotenuse of the blue triangle = 6.69 - 2 = 4.69 cm
Therefore,
sin 71 = x / 4.69
x = 4.69 × 0.94551857559
x = 4.43448211956
x = 4.43 cm
learn more on right triangle here: https://brainly.com/question/7894175
Related Questions
something times 5 = 1?
Answers
Answer:
[tex]\frac{1}{5}[/tex]
Step-by-step explanation:
You can think of this "something" as a variable, which is x
So:
5x = 1
Divide both side by 5:
x = 1/5
A fair die is rolled twice. Let X denote the sum of the values. What is E[X|A] where A is the event that the first roll was a 6.
Answers
We will see that the expected value for X given that the first number is a 6, is:
E[X|A] = 9.5
How to get the expected value?
We know that X represents the sum of both values. The first value is already 6, so we have that fixed:
X = 6 + p
Now, remember that all the numbers in the dice have the same probability of rolling up, then the expected value of p is:
E(p) = (1 + 2 + 3 + 4 + 5 + 6)*(1/6) = 3.5
Then the expected value of X, given the event A.
E[X|A] = 6 + p = 6 + 3.5 = 9.5
So the expected value for X is 9.5
If you want to learn more about expected values, you can read:
https://brainly.com/question/15858152
HELPPPPP PLEASE I DONT UNDERSTANDDDD
Answers
Answer:
Step-by-step explanation:
Solve for the equation equal to y
[tex]3x+4y=12\\4y=-3x+12\\y=\frac{-3}{4}+\frac{12}{4}[/tex]
The slope here is -3/4. The slope of a line perpendicular to the original has a negated and inverted slope. Therefore the slope is 4/3
Show that f(x) = 3x
4 − 2x
2 + 5 is an even function.
Answers
Step-by-step explanation:
This f(x) is an even function.
Explanation:
An even function is one where f(−x)=f(x) for all x in the domain.
An odd function is one where f(−x)=−f(x) for all x in the domain.
In the case of f(x)=3x4−x2+2 we find:
f(−x)=3(−x)4−(−x)2+2=3x4−x2+2=f(x)
So f(x) is an even function.
Actually, there is a shortcut with polynomial functions:
If all of the terms have even degree then the function is even.
If all of the terms have odd degree then the function is odd.
Otherwise the function is neither odd nor even.
in our example, 3x4 has degree 4, −x2 has degree 2 and 2 has degree 0. So all of the terms are of even degree and the function is even
What are the possible transformations that could have been used to create the red figure from the blue figure ABCD?
Answers
Answer:
I believe you are correct in saying the option you are clicked on, B.
Step-by-step explanation:
it would make the most sense
Help help ASAP math math
Answers
Answer:
-1/1
Step-by-step explanation:
=64/-8
over
36-30+2
= -8
over
8
= -1
over
1
Answer:
[tex] \rightarrow - 1[/tex]
Step-by-step explanation:
[tex] \rightarrow \frac{ {4}^{3} }{ \frac{ - 12 + {2}^{2} }{(2 \times 3) {}^{2} + ( - 5 \times 2 \times 3) + 2 }} \\ [/tex]
[tex] \rightarrow \frac{ {4}^{3} }{ \frac{ - 12 + {2}^{2} }{ {6}^{2} + ( - 30) + 2 }} \\ [/tex]
[tex] \rightarrow \frac{ 64 }{ \frac{ - 12 + 4 }{ 36 + ( - 30) + 2 }} \\ [/tex]
[tex] \rightarrow \frac{ 64 }{ \frac{ - 8 }{ 8 }} \\ [/tex]
[tex] \rightarrow - \: \frac{ 64 }{ \frac{ 8 }{ 8 }} \\ [/tex]
[tex] \rightarrow - \frac{ 8 }{ 8 } \\[/tex]
[tex] \rightarrow \: - 1[/tex]
(9 x 7) + 7 - 8 = ?
EXPLAIN HOW!
I give you 10 pts
Answers
Answer:
[tex]\huge\boxed{\bf\:62}[/tex]
Step-by-step explanation:
[tex](9*7) + 7 - 8 = ?[/tex]
We can solve this by using the PEMDAS concept where,
P = Parentheses E = Exponents M = Multiplication D = Division A = Addition S = SubtractionSo, to solve this, we need to solve the numbers in the parentheses by doing the requested operation (here it is, mutiplucation).
[tex](9*7) + 7 - 8\\= (63) + 7 - 8[/tex]
Now, by looking at the PEMDAS rule, we can see that the next step is addition (as, we don't have to divide in this question).
[tex](63) + 7 - 8\\= 63 + 7 - 8\\= 70 - 8[/tex]
Now, subtract 8 from 70 .
[tex]70 - 8\\= \boxed{\bf\:62}[/tex]
[tex]\rule{150pt}{2pt}[/tex]
Choose the best answer that represents the property used to rewrite the expression.
log6 20 - log6 x = log6 20/x
Answers
Answer:
㏒₆ (18) - ㏒₆ (6) = ㏒₆ (3)Here subtraction of logarithm given. So we have to use the property of logarithm of quotient.The property says that㏒ₐ (M) - ㏒ₐ (N) = ㏒ₐ (M/N)So for subtraction we have to divide them. That is logarithm of difference becomes the quotient.So we can write,㏒₆ (18) - ㏒₆ (6) = ㏒₆ (18/6) If we divide 18 by 6 we will get 3.So, ㏒₆ (18) - ㏒₆ (6) = ㏒₆ (3)
Step-by-step explanation:
Answer:Quotient Property
Step-by-step explanation:The property used to rewrite the expression is the quotient rule of logarithms, which states that log_b(x/y) = log_b(x) - log_b(y).
Solve the two-step equation.
3
4
(x) − 1.72 = −6.82
1. The first step is to
✔ add 1.72
on both sides.
2. The second step is to
on both sides.
The solution is x =
.
Answers
Answer:
[tex]\boxed{\sf{x=-0.15}}[/tex]Step-by-step explanation:
Isolate the term of x from one side of the equation.
34(x)-1.72=-6.82Rewrite the problem down.
⇒ 34x-1.72=-6.82
First, add by 1.72 from both sides.
⇒ 34x-1.72+1.72=-6.82+1.72
Solve.
⇒ -6.82+1.72=-5.1
Rewrite the problem down.
⇒ 34x=-5.1
Divide by 34 from both sides.
⇒34x/34=-5.1/34
Solve.
Divide the numbers from left to right.
⇒ -5.1/34=-0.15
⇒ x=-0.15
Therefore, the solution is x=-0.15, which is our answer.I hope this helps you! Let me know if my answer is wrong or not.
Here is the correct answer is this
Step-by-step explanation:
Find the surface area of each prism. Round to the nearest tenth if necessary.
Answers
Answer:
Step-by-step explanation:
Since surface area is the total area from each side, we will take the area of 3 unique sides (ie. dimensions of A x B x C will give 3 unique surfaces of dimensions A x B, B x C and A x C) and multiply each one by 2 to get the area from its duplicate. This condenses to SA (Surface Area) = 2(AB) +2(BC) + 2(AC).
Substituting in our dimensions:
[tex]SA=2(8\frac{1}{4} * 6\frac{2}{3} )+2(8\frac{1}{4}*12)+2(6\frac{2}{3}*12)[/tex]
Evaluate: SA = 468 yd²
can someone please tell me the answer to this I can’t figure it out!!
Answers
Answer:
the answer is (0, 0) trust me
Guys please help! i will mark brainliest to the right answers
Note: in order for me to mark a brainliest 2 people need to answer
Answers
Answer: first one is y=9x+5
second on is 4x-3y=-2
Step-by-step explanation:
This figure represents a compartment in a container for storing sewing supplies. Another compartment is identical except that it is 3 centimeters taller.
What is the difference in volume of the two compartments?
Enter your answer in the box.
cm³
Right trapezoidal prism. The height of the trapezoid base is labeled 7 cm. The larger base is labeled 15 cm and the shorter base is labeled 5 cm. The two legs of the trapezoid are labeled 10 cm. The height of the prism is labeled 8 cm.
cm³
help please
Answers
Answer:
140
explanation:
I took the test
Answer:
210 cm
Step-by-step explanation:
If the trapezoid in the picture is the one mentioned in the problem, then the answer is 210 cm. I did the test.
Find the point P on the line y = 5x that is closest to the point (52,0)
Answers
Answer:
(2,10)
Step-by-step explanation:
Whenever you want to find the point that is closest, it will always be perpendicular to the line
This is because the perpendicular line is the shortest distance to a point (it will make 90 degrees with the line)
So
In order to find the slope of the perpendicular line, you take the slop and you do the negative reciprocal of it.
In this case:
the slope is 5
So:
the negative reciprocal is -1/5
Now we know the slope of the line that will be made by point P to intersect with y=5x
Then, you use the equation:
y=mx+b
and plug in the numbers that you know which is the y coordinate, x coordinate, and slope to find the y-intercept:
0 = -1/5(52) + b
b = 52/5
Finally, set the equations equal to each other to find the point that the perpendicular line intersects y=5x
5x = -1/5x + 52/5
x = 2
then to find the y coordinate you plug the x back into the equation:
y = 5(2)
y = 10
So the answer is (2,10)
Multiply 6−√5 by its conjugate and simplify
Answers
[tex]6 - \sqrt{5} \times \frac{6 + \sqrt{5} }{6 + \sqrt{5} } [/tex]
[tex] \frac{(6 - \sqrt[]{5})(6 + \sqrt{5} ) }{6 + \sqrt{5} } = \frac{36 - 5}{6 + \sqrt{5} } = \frac{31}{6 + \sqrt{5} } [/tex]
I need help quick please
Answers
Answer:
A= 123º
B= 93º
Step-by-step explanation:
A is just a guess.
B is correct though, it is close to 90º but it is greater than 90º
Answer:
Final solution -
[tex]\dashrightarrow \angle \: A = 137\degree \\ \\ \dashrightarrow \angle \:B = 93\degree[/tex]
_____________________________
_____________________________
Additional information -
★ Angle sum property of triangle states that the sum of all the angles of a triangle equals 180°
★ Angle sum property of quad. ( quadrilateral , any four sided figure ) states that the sum of all the angles of a quadrilateral equals 360°
★ Linear pair of angles are formed when two lines intersect each other at a single point. n number of angles forming a linear pair always have their sum equalling 180°
_____________________________
_____________________________
hope helpful :D
Help picture below problem 13
Answers
The Pythagorean theorem is the idea that the sum of the two legs which are both squared is equal to the hypotenuse's length squared.
*look at the image I attached for a better explanation
By looking at the picture, we are missing the leg's length, and by using the Pythagorean theorem, we get the equation
[tex]?^2+5^2 = 13^2\\?^2 + 25 = 169\\?^2 = 144\\? = 12[/tex]
Thus the missing side length is 12 cm
Hope that helps!
PLEASE HELP! CALCULUS
Answers
Answer:
[tex] 55 < A < \frac{149}{2} [/tex]
Step-by-step explanation:
Given:
Function g(x) = 2x²-x-1, [2,5],
N = 6 rectangles
To find:
Two approximation (Left endpoint and Right endpoint of the area) of the area.
Solution:
Using Right endpoint approximation,
[tex]\Delta x = \frac{b - a}{N} \\ \Delta x = \frac{5 - 2}{6} \\ \Delta x = \frac{3}{6} = \frac{1}{2}[/tex]
Now,
[tex]\displaystyle\sf \: R_n = \Delta x \: \sum_{i=1}^N f(a + i \Delta x)[/tex]
Where i = 1,2,3,4......
Substituting value of N, ∆x and a in above equation,
[tex]\displaystyle\sf \: R_n = \Delta x \: \sum_{i=1}^N f(a + i \Delta x) \\ \displaystyle\sf \: R_n = \frac{1}{2} \: \sum_{i=1}^6 f(2 + i \cdot \frac{1}{2} ) \\ \displaystyle\sf \: R_n = \frac{1}{2} \: \sum_{i=1}^6 f(2 + \frac{i}{2} ) \\ \displaystyle\sf \: R_n = \frac{1}{2} \: \sum_{i=1}^6 f( \frac{4 + i}{2} ) [/tex]
[tex]\displaystyle\sf \: R_n = \frac{1}{2} \bigg( f( \frac {5}{2}) + f( 3) +f( \frac {7}{2}) + f( 4) + f( \frac {9}{2}) + f( 5) \bigg) [/tex]
Substituting the corresponding values of x in given function 2x²-x-1
[tex]\displaystyle\sf \: R_n = \frac{1}{2} \bigg(2 \times { (\frac{5}{2} )}^{2} - \frac{5}{2} - 1 ....... +2 \times { ({5} )}^{2} - {5}- 1 \bigg) [/tex]
After solving each function,
[tex]\displaystyle\sf \: R_n = \frac{1}{2} \bigg(9 + 14 +20 + 27 + 35 + 44\bigg) \\ \displaystyle\sf \: R_n \: = \frac{149}{2} [/tex]
Similarly for left endpoint approximation,
[tex]\displaystyle\sf \: L_n = \Delta x \: \sum_{i=0}^{N - 1} f(a + i \Delta x)[/tex]
Where i = 0,1,2,3......
Substituting value of N, ∆x and a in above equation,
[tex]\displaystyle\sf \: L_n = \Delta x \: \sum_{i=0}^{N } f(a + i \Delta x) \\ \displaystyle\sf \: L_n = \frac{1}{2} \: \sum_{i=0}^{N } f(2 + i \frac{1}{2} ) \\\displaystyle\sf \: L_n = \frac{1}{2} \: \sum_{i=0}^6 f( \frac{4 + i}{2} ) [/tex]
[tex]\displaystyle\sf \: L_n = \frac{1}{2} \bigg(f( 2) + f( \frac {5}{2}) + f( 3) +f( \frac {7}{2}) + f( 4) + f( \frac {9}{2}) + \bigg) [/tex]
Substituting the corresponding values of x in given function 2x²-x-1
[tex]\displaystyle\sf \: L_n = \frac{1}{2} \bigg(5+ 9 + 14 +20 + 27 + 35 \bigg) \\ \displaystyle\sf \: L_n \: = \frac{110}{2} = 55 \\ [/tex]
Right approximation 149/2
Left approximation 55
Hence the Area is bounded in,
[tex] 55 < A < \frac{149}{2} [/tex]
Thanks for joining brainly community!
121.45 - 80.28 = ___
A.
39.97
B.
42.27
C.
41.13
D.
41.17
Answers
Answer:
D.
41.17 because it is possible answer to the question
Help me out please, should be easy
Answers
Answer:
I'm pretty sure the points are plotted at (-1,-2) but I'm not exactly sure. Correct me if I'm wrong! :D
Identify the percent rate of change in exponential function y=(0.9)
Answers
Answer:
90
Step-by-step explanation:
0.9 multiplied by 100 to turn it into a percentage is 90.
*Pls help me*
Yasmine is trying to find an outfit for the first day of school. She has to choose from 3 pairs of skirts: one black, one pink and one orange. She also has five blouses: one with flowers, one with polka-dots, one gray, one white and one with words saying I love New York! How many possible outfits can she choose from? *Hint-create a probability table.
Answers
Answer:
15 outfits
Step-by-step explanation:
Given
3 skirtsone blackone pinkone orange5 blousesone w/ flowersone w/ polka dotsone grayone whiteone w/ "I love New York!"Probability : No. of outfits
There are 3 elements in set A (skirts) and 5 elements in set B (blouses)Therefore possible outfits = A x B = 15 outfitsP.S. Sorry I couldn't create the probability table.
How is the Golden Ratio calculated from Fibonacci sequence? Please help me tyyy <3
Answers
Answer/Step-by-step explanation:
the fibonacci sequence is {1, 1, 2, 3, 5, 8, 13, 21, 34…} and in the visual for the Golden Ratio, if you look those are the those are the numbers that basically equals the golden ration, 1.618.
Find the coordinates of the vertex for the parabola defined by the given quadratic function.
f(x) = 2x² – 20x +7
The vertex is
(Type an ordered pair.)
Answers
Answer:
(5, -43)
Step-by-step explanation:
The value of the x-coordinate of the vertex of a function in standard form is given by -b/2a. The value of a is the coefficient of the x^2 term. The value of b is the coefficient of the x term. In this problem, a = 2 and b = -20. When you evaluate -b/2a you would replace the b with -20 and replace the a with 2 so you get -(-20)/2(2) so the value of x is 5. Determine the value of y by evaluating f(5) = 2(5)^2 - 20(5) +7.
In a market research survey of 2518 motorists, 252 said that they made an obscene gesture in the previous month.
If one of the surveyed motorists is randomly selected, what is the probability that this motorist did not make an obscene gesture in the previous month?
Answers
Answer:
Probability is 89.99%
Step-by-step explanation:
divide 252 by 2518 and you get 10.01% but that represents the people who did make the gesture so instead you would minus 252 from 2518 and that would be 252 - 2518 = 2266 then you would divide 2266 by 2518 and you get 2266/2518 = 0.8999 which is equal to 89.99%
Your new computer cost $1500 but it depreciates in value by about 18% each year. About how long will it take before your computer is worth close to zero dollars, according to your equation?
Answers
Answer:
5.5 years
Step-by-step explanation:
100/18 = roughly 5.5 years (5.55555556 to be exact)
Hope this makes sense.
the median value for this data set is
Answers
Answer:
275
Step-by-step explanation:
because it is in between 270 and 280
Balance the following chemical equation. (20 pts)
Answers
Answer:
4Cl + 2Pb → 2PbCl2
Step-by-step explanation:
It's simplest reaction is:
Pb + Cl2 → PbCl2
Help me please!!!!!!!!!!
Answers
Answer:
p(3,2)=====P'(-2,3)....
Help please in picture below
Answers
Answer:
vertex is a point where two sides meet