Answer:
the angles are 89.2°, 34.5°, 56.3° and the sides are √26units, √8units, √18units respectively
Step-by-step explanation:
Distance between points (2,5) and (-1,2)
Using the formula, √(X2 - X1)² + (Y2 - Y1)²
= √(-1-2)²+(2-5)²
=√(-3)²+(-3)²
=√9+9
=√18 or 3√2
Distance between points (-1,2) and (4,3)
=√[4-(-1)]²+(3-2)²
= √5²+1²
=√25+1
=√26
Distance between points (2,5) and (4,3)
=√(4-2)²+(3-5)²
=√2²+(-2)²
=√4+4
=√8
Using Cosine rule/formula, C²= A²+B²-2abcosc
Let C be √18, A be √26 and B be √8
√18²=√26²+√8² - 2√26.√8cosc
18= 26+8 - 2√208cosc
18= 34 -2√208cosc
2√208cosc= 34-18
Cosc = 16/2√208
Cosc= 0.5546
c= Cos`¹(0.5547)
c= 56.3°
Using sine rule/formula
Sinc/C= Sina/A=Sinb/B
Sin56.3/√18= Sina/√26
Sina= (0.8320 × √26)/ √18
Sina= 0.9999
a= Sin`¹(0.9999)
a= 89.2
56.3+89.2+b= 180°( sum of angles in a triangle)
145.5 + b =180
b=180-145.5
b= 34.5
can someone help me with this question plsss
Answer:
So you divide both sides 8.5
B=8 8.5x8=68
Simplfy 8.5x8 to 68
68=68
Step-by-step explanation:
Hope this helps
Suppose line g is the line with equation y=x. Given A(6,-2), B(6,3), and C(-2,-6), what are the coordinates of the vertices of A'B'C' for the reflection?
NEED ANSWER ASAP
Rg
Answer:
A'(-2, 6)B'(3, 6)C'(-6, -2)Step-by-step explanation:
Reflection across the line y=x swaps the x and y coordinates:
(x, y) ⇒ (y, x)
The image points are ...
A(6, -2) ⇒ A'(-2, 6)
B( 6, 3) ⇒ B'(3, 6)
C(-2, -6) ⇒ C'(-6, -2)
How many centimeters in 3.9 meters?
Step-by-step explanation:
hope this help you ......
Which of the following statements is true?
The range is the set of all input values and is the independent variable.
The domain is the dependent variable and is determined by the range.
The independent variable varies as the dependent variable varies
The independent variable is the input value
Answer:
TRUE
TRUE
FALSE
FALSE
TRUE
Answer:
first one is true
Step-by-step explanation:
Which of the following is NOT a true statement?
pls answer i'll give brainliest
Answer:
C.) AFD measures 30°
Step-by-step explanation:
it is 150 degrees
Answer:
the answer is C
Step-by-step explanation:
A) angle EFC is 80 degrees so a is a true statement
B) angle BFC is 60 degrees and angle DFE is 30 degrees 60+30=90 so that's a true statement
D) angle AFB is 40 degrees and angle CFD is 50 degrees 40+50=90 so that a true statement
that leaves C and angle AFD is more than 30 degrees its 150 degrees
divide 2(1+2)
No calculator, if u use something bad, will happen to u
The answer would be 6.
The formula to convert degrees Fahrenheit to degrees Celsius is: 'C = (5/9) ('F -32). The formula to convert degrees Celsius to degrees Fahrenheit is: 'F = 1.8 ('C) + 32. Using any of these formulas, determine, for what temperature the value of it in degrees Celsius is represented by the same number as its value in degrees Fahrenheit. Show your work. HINT: use either of those two equations, use x for 'C and use x for 'F, and solve it for x. The solution will be the answer to the problem (because the temperature is the same, and its numerical value in degrees Celsius in this case is the same as its number value in degrees Fahrenheit). *
Step-by-step explanation:
5/9 × (x - 32) = 1.8 × x + 32 = 9/5 × x + 32
5×(x - 32) = 9×9/5 × x + 32×9
5×5×(x - 32) = 9×9×x + 32×9×5
25x - 32×25 = 81x + 32×45
32×(-25 - 45) = 56x
4×(-70) = 7x
x = 4×(-10) = -40
-40° is the same temperature in Celsius and in Fahrenheit.
Triangle ABC has coordinates A(−6,2), B(−3,6), and C(5,0). Find the perimeter of the triangle. Round your answer to the hundredths place (2 decimal places) I will give brainliest
Answer:
26.18 units
Step-by-step explanation:
You could use distance formula three times to calculate the length of each side. Add the three lengths to find the perimeter. However, (see image) if you look at a graph of these points, two of the sides are the hypotenuse of a right triangle that have known, integer values--Pythagorean triples. The sides are 3-4-5 and the other is 6-8-10. We use the Pythagorean theorem to find the third side. See image.
11.18 + 5 + 10
= 26.18 units
The perimeter of triangle is 26.18.
What is triangle?A triangle is 2-dimensional closed curve. which has 3 sides, 3 angles and 3 vertices.
According to the question,
Triangle ABC has coordinates A(-6,2), B(-3,6), C(5,0).
Distance formula: √(x₂-x₁)² + (y₂-y₁)².
Points A and B are (-6,2) and (-3,6)
= √(-3-(-6))² + (6-2)²
= √9+16
= √25
=5.
Thus, point A and B has distance, S₁ = 5.
Points B and C are (-3,6) and (5,0)
Distance formula: √(x₂-x₁)² + (y₂-y₁)²
= √(5-(-3))² + (0-6)²
= √(8)² + (-6)²
= √(64+36)
=√100
=10.
Thus, point B and C has distance, S₂ = 10.
Points C and A are (5,0) and (-6,2)
Distance formula: √(x₂-x₁)² + (y₂-y₁)²
= √(-6-(5))² + (2-0)²
= √((-11)² + (2)²)
=√(121+4)
=√125
=5√5
Thus, point C and A has distance, S₃= 5√5.
Perimeter of triangle = S₁ + S₂+S₃
= 5 + 10 + 5√5
=15+5√5
=15+5(2.23606)
=15+11.1803
=26.1803 ≈ 26.18
Hence, the perimeter of triangle is 26.18.
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3x^4 + 9x^3 - 5x^2 - 14x - 7 divided by x + 3 using synthetic division
Answer:
[tex]3x^3 - 5x + 1 - \frac{10}{x + 3}[/tex]
or
3x^3 - 5x + 1
Remainder: -10
Step-by-step explanation:
Please see attached image for full explanation!
1.) Write the coefficient of each term.
2.) Beginning with 3, multiply by -3, or x + 3 = 0 (the divisor.)
3.) Add the product to the next coefficient and repeat until you get to the last number, -7.
4.) You should have the numbers 3, 0, -5, 1, and -10.
5.) Rewrite this quotient as an equation:
3x^3 - 5x + 1
Note that the highest power is 3, one less than that of the highest power in the original equation.
6.) Don't forget the remainder!
You can include this in the equation or not, depending on the instructions.
Therefore, the final answer is 3x^3 - 5x + 1 - 10/x+3 or 3x^3 - 5x + 1 R: -10.
M.) A typical tip in a restaurant is 15% of the
total bill. If the bill is $125, what would the
typical tip be?
how do i solve this
Answer:
m <E = 134
Step-by-step explanation:
Triangle DEF looks like an isosceles triangle to the base angles are the same measure.
6x+11 = 10x+3
Subtract 11 from both sides
6x = 10x-8
Subtract 10x from both sides
-4x = -8
Divide -4 from both sides
x = 2
Substitute 2 into both equations to make sure it works
6 (2) + 11
12+11
23
10 (2) +3
20+3
23
Both angles equal 23 degrees.
Now subtract both angles from the total angle measure of 180.
180-23-23=134
i just want to know how did you get that number
Answer:
what number?
Step-by-step explanation:
Someone help me with this math question?
Answer:
B and D
Step-by-step explanation:
Line l is a perpendicular bisector of line segment R Q. It intersects line segment R Q at point T. Line l contains point S. The length of segment R S is 2 x + 8. The length of segment S Q is 8 x minus 4.
What is the length of segment SR?
Answer:
12
Step-by-step explanation:
Since RS = QS, we know 2x + 8 = 8x - 4
Subtract 2x from each side
8 = 6x - 4
Add 4 to each side
12 = 6x
Divide each side by 6
2 = x
SR is 2x + 8, so it is 2(2) + 8, so RS = 12
The length of the segment SR is 12.
What is a triangle?Triangle is a shape made of three sides in a two-dimensional plane. the sum of the three angles is 180 degrees.
Since RS = QS, we know 2x + 8 = 8x - 4
Subtract 2x from each side
8 = 6x - 4
Add 4 to each side
12 = 6x
Divide each side by 6
2 = x
SR is 2x + 8, so it is 2(2) + 8, SR = 12
Hence, the segment SR is 12.
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Edward deposited $6,000 into a savings account 5 years ago. The simple interest rate is 4%. How much money did Edward earn in interest? Need answer in under 10 minutes
Answer:
,..................... 6000*12*5 %4 =630
Answer:
6240
Step-by-step explanation:
It's it 6,000+4% it's = 6240
How many inflection point(s) do you see ?
Answer:
7
Step-by-step explanation:
There is a point of inflection at each point where the graph crosses the line y=2. There are 7 points of inflection shown.
__
A point of inflection is where the graph changes from being concave downward to concave upward, or vice versa. For a sine function, that is everywhere the function crosses its midline.
Answer:
7 inflection points
Step-by-step explanation:
The given function [tex]f(x)=sinx+2[/tex] has a midline of y=2 where each point of the function that intersects the line is an inflection point. Inflection points are where the concavity changes, defined by when the second derivative is equal to 0 or undefined.
[tex]f(x)=sin(x)+2[/tex]
[tex]f'(x)=cos(x)[/tex]
[tex]f''(x)=-sin(x)[/tex]
[tex]0=-sin(x)[/tex]
[tex]x=\pi n[/tex] for any integer [tex]n[/tex]
From [tex][-10,10][/tex], there are 7 inflection points, which are[tex]x=-3\pi,-2\pi,-\pi,0,\pi,2\pi,3\pi[/tex]
HELP GIVING BRAINLIEST!
Answer:
C
Step-by-step explanation:
Answer:
y = 1/4x
Step-by-step explanation:
Plc help! Factor completely 2a^3b-ab^3-1 2/3ab^3-a^3b-4 1/2a^2b-1/2a^2b
Answer:
116−−√
110−−√
14√
18√
Step-by-step explanation:
Put these numbers in order from least to greatest.-12/40 -5 19/38
this is the answer: -5 < -12/40 < 19/38
help this is due today?
Answer:
2s for the first box
6u for the second box
Step-by-step explanation:
when they say like terms, just think about how the letter parts of the expression are the same
like 1/2s and 2s both have the singular variable s
and how 6u and 9u both have the singular variable u
To solve this one you have to find the ones that are connected by variables or look the same
For example.
1x and 2x are like terms because they have the same variable X
4d and 6/2d are like terms because they have the same variable D
4 and 3 are like terms because they have no variables, and they are the same
So now that you understand what like terms are you may so it
1/2 and 2s are like terms because they share the same variable S
6u and 9u are like terms because they share the same variable U
I hope this helped and if it's wrong blame me
Ps. Brainlist would really help
pls help me with math asap pls no links thx
Answer:
8
Step-by-step explanation:
Divide 192 by 24 and you'll get 8 classes per grade as the answer
Answer:
8 classes
Step-by-step explanation:
To find the minimum amount of classes, you divide 192 by 24 and you get 8 classes.
solve 7e^(2x)-5>58. Round to the nearest hundredth.
Answer:
[tex]x\gtrapprox1.1[/tex]
Step-by-step explanation:
[tex]7e^{2x}-5>58[/tex]
[tex]7e^{2x}>63[/tex]
[tex]e^{2x}>9[/tex]
[tex]2x>ln(9)[/tex]
[tex]x>\frac{ln(9)}{2}[/tex]
[tex]x\gtrapprox1.1[/tex]
PLEASE HELP TEST DUE SOON⚠️
What is the equation for the line in slope intercept form
Answer:
The answer should be [tex]y=mx+b[/tex]
Step-by-step explanation:
[tex]y=mx+b[/tex] is the only thing I can think of when your talking about the equation of the line in intercept form, but I'm 85% sure this is correct.
Hope this helps!
Can you mark me brainliest?
Have a great day/night/afternoon!
- ❤ 7272033Alt ❤
PLs help me 15 points on total
Answer:
i think its C
Step-by-step explanation:
The first four terms of a sequence are shown below: 9, 5, 1, â’3 Which of the following functions best defines this sequence? f(1) = 9, f(n 1) = f(n) â’ 4; for n ≥ 1 f(1) = 9, f(n 1) = f(n) 4; for n ≥ 1 f(1) = 9, f(n 1) = f(n) â’ 5; for n ≥ 1 f(1) = 9, f(n 1) = f(n) 5; for n ≥ 1.
The function that best defines this arithmetic sequence is:
[tex]f(n) = f(n - 1) - 4, f(1) = 9[/tex]What is an arithmetic sequence?In an arithmetic sequence, the difference between consecutive terms is always the same, called common difference d.The recursive function that defines the sequence is:
[tex]f(n) = f(n - 1) + d[/tex]
[tex]f(1) = f_0[/tex]
In which [tex]f_0[/tex] is the first term.In this problem, the sequence is: {9, 5, 1, -3}
Each term is the previous term subtracted by 4, hence [tex]d = -4[/tex].The first term is 9, hence [tex]f_0 = 9[/tex].Hence, the function is:
[tex]f(n) = f(n - 1) - 4, f(1) = 9[/tex]You can learn more about arithmetic sequences at https://brainly.com/question/6561461
To identify the functions which best define the given sequence, we have to identify the number pattern.
The correct option is (a).
Given:
The given sequence is as follows,
[tex]9,5,1,-3[/tex]
What is an arithmetic sequence?The arithmetic sequence define as the difference between two consecutive number would be same.
If we subtract 4 form each digit we will get next digit.
[tex]9-4=5\\5-4=1\\1-4=-3[/tex]
So the function would be,
[tex]f(1) = 9, f(n + 1) = f(n) -4; \rm for \:n\geq 1[/tex]
The option (b) and (d) show the increasing function whereas we have decreasing sequence.
Thus, the correct option is (a).
Learn more about arithmetic sequence here
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Slope
What is the slope of the line through (-7, -2) and (-6.7)?
Choose 1 answer:
Answer:
9
Step-by-step explanation:
m=(y2-y1)/(x2-x1)
m=(7-(-2))/(-6-(-7))
m=(7+2)/(-6+7)
m=9/1
m=9
35. What is the 40th term of the arithmetic sequence
-17,-47, -77, -107...
Answer:
40th term = -1187
Solve for the variable. 1) 8 - X-X=-16
plsss help me explain me slow
Name the ray in TWO different ways.
M N P
What is the sum of the 4th square number and the 12th square number
Answer:
160
Step-by-step explanation:
4th square number: 16
12th square number: 144
16 + 144 = 160