Answer:
Step-by-step explanation:
5²+8²=25+64=89
12²=144
5²+8²≠12²
so it is not aright angled triangle.
Answer:
Not a right triangle
Step-by-step explanation:
A triangle is right if the sides of the triangle satisfies the Pythagoras theorem.
That is square of the largest sides = sum of the sqaures of the sides .
That is ,
[tex]12^2 = 5^2 + 8^2 \\\\144 = 25 + 64 \\\\144 \neq 89[/tex]
It did not satisfy the Pythagoras theorem.
Hence the given triangle is not a right triangle.
please solve this
.............
Answer:
D
Step-by-step explanation:
Note that I will be using a, b, and y instead of their Greek counterparts.
First, we know that sin(c+d) = sin(c)cos(d) + cos(d)sin(a) and sin(c-d) = sin(c)cos(d) - cos(d)sin(a). We can apply these here to get
sin(b+y) = sin(b)cos(y) + cos(b)sin(y)
sin(b-y) = sin(b)cos(y) - cos(b)sin(y)
sin(a+y) = sin(a)cos(y) + cos(a)sin(y)
sin(a-y) = sin(a)cos(y) - cos(a)sin(y)
Plugging these into our equation, we get
(sin(b)cos(y) + cos(b)sin(y) - (sin(b)cos(y) - cos(b)sin(y)))
/
(sin(a)cos(y) + cos(a)sin(y)-(sin(a)cos(y) - cos(a)sin(y)))
=
2cos(b)sin(y) / 2cos(a)sin(y)
= cos(b)sin(y)/cos(a)sin(y)
= cos(b)/cos(a)
Next, we can see that a+b = π, so we can subtract b from both sides to get a = π -b. Plugging that in for a in our equation, we get
cos(b) / cos(π-b)
After that, we know that cos(c-d) = cos(c)cos(d) - sin(c)sin(d). Plugging that in here, we get
cos(π-b) = cos(π)cos(b) - sin(π)sin(b)
= -cos(b) + 0
= -cos(b)
Plugging that back into our equation, we get
cos(b) / -cos(b) = -1
calculate the price with VAT of the following case.
MP=Rs.400000
profit=Rs.20000
Discount=10%
VAT=13%
Answer: $427140
Step-by-step explanation:
Firstly, we'll add MP to the profit and this will be:
= Rs 400000 + Rs 20000
= Rs 420000
Since there is a discount of 10%, this will then be:
= 420000 - (10% × 420000)
= 420000 - 42000
= $378000
With a VAT of 13%, then the final price will be:
= $378000 + (13% × $378000)
= $378000 + (0.13 × $378000)
= $378000 + $49140
= $427140
Help please! Need this answered quick!
Answer:
3.6
Step-by-step explanation:
the ratio of AB to AD is 3/5 so the ratio of BC to DE is also 3/5, therefore BC=3/5 DE= (3/5)6= 3.6
Help me with this question please‼️‼️
Explanation:
The gradient is the same as the slope
m = slope
m = rise/run
m = (change in y)/(change in x)
m = (y2-y1)/(x2-x1)
m = (6-1)/(6 - (-4))
m = (6-1)/(6+4)
m = 5/10
m = 1/2
In decimal form, this becomes 0.5
A slope of 1/2 means we move up 1 and to the right 2 units each time to generate points along the diagonal line.
A positive slope goes uphill as we move to the right (due to the positive rise value).
Answer:
One way to find the gradient is using the expression :
[tex]m = \frac{y_{2} - y_{1}}{x_{2} - x_{1}} = \frac{y_{B} - y_{A}}{x_{B} - x_{A}}[/tex]
So [tex]m = \frac{6 - 1}{6- (-4)} =\frac{5}{10} =\frac{1}{2}[/tex]
tìm khoảng đồng biến, nghịch biến của hàm số
y= -5x+3
Answer:
sgehwjwnnwjwjj2629937463u83
Helpp mee please i need help i am stuck
Which statements are true? Check all that apply.
-2.5 = -2 1/2
-1.5 > -0.5
-0.5 < 0
-2.5 < -2
- 1/2 > 1.5
What is the value of the expression below when y = 5? Show your work and write your answer in a complete sentence.
Y exponent 2-3y+6
Answer:
y=1
Step-by-step explanation:
5=2-3y+6
3y=2-5+6
3y= -3+6
3y= 3
3y÷3=3÷3
y=1
Answer:
16
Step-by-step explanation:
Substitute y = 5 into the expression
y² - 3y + 6
= 5² - 3(5) + 6
= 25 - 15 + 6
= 16
It’s urgent please help
HELP ME PLZZ...Complete this proof...BRAINLY TO HELPFUL ANSWER
Answer:
1. Angles 2, 3 and angles 1,3 are complementary angles(Given)
2. To prove :
Since Angles 2, 3 and angles 1,3 are complementary.
When angles are complementary, then the sum of the measures of angles is 90 degrees.
So, and (Definition of Complementary angles)
3. (Substitution)
4. (Subtraction property of equality)
Step-by-step explanation:
(60 + 24) ÷ 3 = ( __ ÷ 3) + (24 ÷ 3)
Answer: 60
Step-by-step explanation:
The blank space can be filled with 60, as this is a simple problem of distributive property
PLS HELP ME ON THIS QUESTION I WILL MARK YOU AS BRAINLIEST IF YOU KNOW THE ANSWER PLS GIVE ME A STEP BY STEP EXPLANATION!!
The students in Shawn's class got to choose whether to visit the zoo or the aquarium. 3 students went to the zoo and 15 students went to the aquarium. What is the ratio of the number of students who went to the zoo to the number of students who did not go to the zoo?
A. 1:3
B. 1:6
C. 1:5
D. 1:1
The ratio of the number of students who went to the zoo to the number of students who did not go to the zoo is 1: 5. Hence option C is true.
Given that;
The students in Shawn's class got to choose whether to visit the zoo or the aquarium.
Here, 3 students went to the zoo and 15 students went to the aquarium.
Hence, the ratio of the number of students who went to the zoo to the number of students who did not go to the zoo is,
Ratio = 3 : 15
Ratio = 3/15
Ratio = 1/5
Ratio = 1 : 5
Thus, option C is true.
Learn more about the ratio visit:
https://brainly.com/question/12024093
#SPJ3
find the measure of the missing angles in the kite
Answer:
Step-by-step explanation:
In a kite, the angles between the two non- congruent side have the same degree.
x = 114 degrees
In a quadrilateral the sum of the inner angles is 360 degrees
88 + (114 * 2) + y = 360
88 + 228 + y = 360
316 + y = 360
y = (360 - 316)
y = 44 degrees
a map of an amusement park is shown on a coordinate plane, where each square of the grid represents 1 square meter. The water ride is at (-17,12), the roller coaster is at (26,-8), and the Ferris wheel is at (2,20). Find each distance to the nearest tenth of a meter.
* what is the distance between the water ride and the roller coaster?
*What is the midpoint between the roller coaster and the ferris wheel? what is the distance from the midpoint to the ferris wheel
Answer:
Step-by-step explanation:
pls help G, H, I, J pls explain
Part G
The two angles ABD and DBC form a straight line, so the angles add to 180 degrees.
Let's solve for x.
angle ABD + angle DBC = 180
(0.5x+20) + (2x-10) = 180
2.5x+10 = 180
2.5x = 180-10
2.5x = 170
x = 170/2.5
x = 68
Then we'll use this to find angle ABD
angle ABD = 0.5*x + 20
angle ABD = 0.5*68 + 20
angle ABD = 34 + 20
angle ABD = 54
Answer: 54 degrees============================================================
Part H
Use the value of x we found back in part G to find the measure of angle DBC
angle DBC = 2x - 10
angle DBC = 2(68) - 10
angle DBC = 136 - 10
angle DBC = 126
An alternative is to subtract the measure of angle ABD from 180
angle ABD + angle DBC = 180
angle DBC = 180 - (angle ABD)
angle DBC = 180 - 54
angle DBC = 126
Answer: 126 degrees============================================================
Part I
This time, the two angles add to 90 degrees as shown by the square corner marker.
(angle XYW) + (angle WYZ) = 90
(1.25x - 10) + (0.75x + 20) = 90
2x + 10 = 90
2x = 90-10
2x = 80
x = 80/2
x = 40
which then leads to,
angle XYW = 1.25*x - 10
angle XYW = 1.25*40 - 10
angle XYW = 50 - 10
angle XYW = 40
Answer: 40 degrees============================================================
Part J
We can subtract the result of part I from 90 degrees to get the answer
angle WYZ = 90 - (angle XYW)
angle WYZ = 90 - 40
angle WYZ = 50
Or we could plug the x value x = 40 into the expression for angle WYZ
angle WYZ = 0.75*x + 20
angle WYZ = 0.75*40 + 20
angle WYZ = 30 + 20
angle WYZ = 50
Answer: 50 degrees============================================================
Summary:
The answers we found were
G. 54 degreesH. 126 degreesI. 40 degreesJ. 50 degreesAnswer:
G. m∠ABD = 54°
H. m∠DBC = 126°
I. m∠XYW = 40°
J. m∠WYZ = 50°
Step-by-step explanation:
∠ABD and ∠DBC are supplementary angles. This means their angles have a sum of 180°.
[tex]\frac{1}{2}x+20+2x-10=180\\\frac{5}{2}x+10=180\\\frac{5}{2}x=170\\x=68[/tex]
m∠ABD = 1/2(68) + 20 = 34 + 20 = 54
m∠DBC = 2(68) - 10 = 136 - 10 = 126
Same concept for ∠XYW and ∠WYZ only this time they are complementary angles. This means their angles have a sum of 90°.
[tex]1\frac{1}{4}x-10+\frac{3}{4}x+20=90\\2x+10=90\\2x=80\\x=40[/tex]
m∠XYW = 1 1/4(40) - 10 = 50 - 10 = 40
m∠WYZ = 3/4(40) + 20 = 30 + 20 = 50
what type of variation is this relationship
=========================================================
Explanation:
We don't have a direct variation because the initial cost isn't $0
The equation for this situation is y = 25x+375, where x is the number of yearbooks purchased and y is the total cost.
Notice how this line doesn't go through the origin. All direct variation graphs are straight lines through the origin.
So that's why we have partial variation instead.
The initial cost is simply the set up cost, aka the cost when x = 0. That initial cost is $375. The initial cost is located at the y intercept.
From that initial cost, we then add on multiples of $25 depending on how many yearbooks are purchased.
-----------------
In short, because the initial cost is $375, which is some nonzero value, this means we don't have direct variation. Instead, we have partial variation.
pls answer my question from the above picture
Answer:
Step-by-step explanation:
[tex]a^{m}* a^{n}=a^{m+n}\\\\\\(\frac{-1}{2})^{-19}*(\frac{-1}{2})^{8}=(\frac{-1}{2})^{-2x +1}\\\\(\frac{-1}{2})^{-19+8}=(\frac{-1}{2})^{-2x+1}\\\\\\(\frac{-1}{2})^{-11}=(\frac{-1}{2})^{-2x+1}[/tex]
As bases are equal in boht sides, we can compare the exponents.
-2x + 1 = -11
Subtract 1 form both sides
-2x = -11 - 1
-2x = -12
Divide both sides by -2
x = -12/-2
x = 6
In the opposite figuret triangle OAB has an area of 72 cm2 and. Triangle ODC has an area of 288 Cm2 Then XandY equal
area of OAB = 72 = (1/2) sin (AOB) * OA * OB solve the above for sin(AOB) to find sin(AOB) = 1/2 area of ODC = 288 = (1/2) sin (DOC) * OD * OD Note that sin(DOC) = sin(AOB) = 1/2, OD = 18 + y and OC = 16 + x and substitute in the above to obtain the first equation in x and y 1152 = (18 + y)(16 + x)...
HOPE SO IT HELPS YOU
Find the value of x. Round to the nearest tenth.
Answer:
x=400 m is the correct answer
I need help to find w =
Answer:
The answer is 12.
Step-by-step explanation:
Since one of the sides on the smaller polygon is two and on the other one is six that must mean the scale is multiply by 3 because 2x3=6. So 4 times 3 is 12.
So, w = 12
Plz see attachment below
Answer:
Step-by-step explanation:
Table I
Given function is,
f(x) = [tex]b^x[/tex]
From the table attached,
For x = 0.827, value of function f(0.827) = 5,
f(0.827) = [tex]b^{0.827}[/tex]
Therefore, [tex]b^{0.827}=5[/tex]
[tex]\text{log}(b^{0.827})=\text{log}(5)[/tex]
0.827[log(b)] = log(5)
log(b) = 0.8452
b = [tex]10^{0.8452}[/tex]
b = 7
Therefore, function 'f' will be,
f(x) = [tex]7^x[/tex]
For f(x) = 9,
9 = [tex]7^x[/tex]
log(9) = log([tex]7^x[/tex])
log(9) = x[log(7)]
x = 1.129
Table II
Given function is g(x) = [tex]\text{log}_b(x)[/tex]
From the given table,
For x = 7, g(x) = 1
1 = [tex]\text{log}_b(7)[/tex]
[tex]b^1=7[/tex]
b = 7
Therefore, the function 'g' will be,
g(x) = [tex]\text{log}_7(x)[/tex]
For g(x) = 1.318
1.318 = [tex]\text{log}_7(x)[/tex]
[tex]x=7^{1.318}[/tex]
[tex]x=12.9968[/tex]
[tex]x=13.997[/tex]
A can do a piece of work in 15 days. B can do the same work in 12 days and C can
finish the same piece of work in 20 days. They started the work together for 2 days
and then B and C leaves. In how many days will A finish the remaining work?
Answer:
[tex]9\ days[/tex]
Step-by-step explanation:
[tex]We\ are\ given:\\No.\ of\ days\ A\ takes\ to\ complete\ some\ amount\ of\ work=15\ days\\No.\ of\ days\ B\ takes\ to\ complete\ the\ same\ amount\ of\ work=12\ days\\No.\ of\ days\ C\ takes\ to\ complete\ the\ same\ amount\ of\ work\ as\ A\ and\ B\ =20\ days\\[/tex]
[tex]Now,\\We\ can\ say\ that\ an\ object\ has\ to\ complete\ \frac{1}{n}th\ of\ the\\ work\ daily,\ to\ complete\ the\ work\ in\ n\ number\ of\ days.\ This\ is\ however\\ only\ true\ if\ the\ object\ covers\ equal\ amounts\ of\ work\ each\ day.[/tex]
[tex]Here,\\In\ 1\ day,\\A\ would\ cover\ \frac{1}{15}th\ of\ the\ work.\\B\ would\ cover\ \frac{1}{12}th\ of\ the\ work.\\C\ would\ cover\ \frac{1}{20}th\ of\ the\ work.[/tex]
[tex]Now,\\We\ are\ also\ given\ that:\\They\ work\ together\ for\ 2\ days\ on\ the\ same\ work.\\Hence,\\Total\ work\ done\ in\ 1\ day\ by\ A,B\ and\ C=\frac{1}{15}+\frac{1}{12}+\frac{1}{20}=\frac{4+5+3}{60}=\frac{12}{60}=\frac{1}{5}\\Hence, Total\ work\ done\ in\ 2\ days\ by\ A,B\ and\ C=2*\frac{1}{5}=\frac{2}{5}[/tex]
[tex]Hence,\\The\ portion\ of\ the\ total\ work\ left=1-\frac{2}{5}=\frac{5-2}{5}=\frac{3}{5}\\So,\\Since\ A\ has\ to\ complete\ \frac{3}{5}th\ of\ the\ work,\ lets\ compute\ the\ no.\ of\ days\ it\ takes\ to\ do\ so.\\Hence,\\No.\ of\ days\ A\ takes\ to\ complete\ the\ entire\ work=15\ days\\Hence,\\No.\ of\ days\ A\ takes\ to\ complete\ \frac{3}{5}th\ of\ the\ entire\ work=15*\frac{3}{5}=9\ days[/tex]
Answer:
9 days
Step-by-step explanation:
A does in 15days, so A in 1day does 1/15part
B does in 12days, so B in 1day does 1/12part
C does in 20days, so C in 1day does 1/20part
So. A+B+C in 1 day-- 1/15+1/12+1/20=(4+5+3)/60= 12/60=1/5 and in 2days 2/5 part..hence remaining work=1/1–2/5=(5–2) =3/5part.
Now A in 1/15 part takes 1day
So, in 3/5 part 15×3/5 = 9 days.
(2x2 + 1) + 3/2x2=1=4
Answer:
3(2×2+1)+3×(2×2)/3=1×3=4×3
36+3+4=3=12
36+3+4-3-12
43-15
28
Find the area of triangle ABC to the nearest tenth if AB = 11 ft, ∠BCA = 67 , and ∠CAB = 28 .
Answer:
30.7
Step-by-step explanation:
Assuming the angled are degrees and not radian.
side BC= (11÷sin67)•sin28= 5.6
angle ABC= 180-67-28=85°
A= 11•5.6•sin85÷2≈30.68
twice n
Algebraic expression
Answer and Step-by-step explanation:
2n is the algebraic expression for twice n.
#teamtrees #PAW (Plant And Water)
What is the area of the parallelogram represented by the vertices A(-6, -1), B(-2, -1), C(-1,-4) and D(-5, -4)?
[tex]\huge\underline\blue{✏ANSWER}[/tex]
(no answer found.)
(maybe can found on other apps?)
#BrainliestBunch
Answer:
12
Step-by-step explanation:
1) Vector AB (-2-(-6); -1-(-1))= (4; 0). Vector module is module AB=sqrt (4*4+0*0)= 4
2) The module of Vector BC is sqrt((-1-(-2))*(-1 - (-2))+ (-4-(-1))* (-4-(-1))= sqrt (9+1)= sqrt 10.
3) The module of AC is sqrt ((-1-(-6))*(-1-(-6))+ (-4-(-1))*(-4-(-1))= sqrt (25+9)= sqrt 34.
4) Having the triangle with the sides AB, BC, AC use the theorem of cos:
sqrt34*sqrt34= sqrt 10*sqrt 10 + 4*4- 2*sqrt10*4*cosB
34-10-16= -8 sqrt 10*cosB
c0sB= (-1)/ sqrt10
5) Find out sinB that is equal to Sqrt (1- ((-1)/sqrt 10)* ((-1)/sqrt10))= sqrt (9/10)= 3/sqrt10.
6)S= 4*sqrt10*3/sqrt10= 4*3=12. The area is equal to 12.
The sales tax in a certain city is 2%. A man buys a camera and pays a sales tax of $3.20. What was the cause of the camera, exclusive of the sales tax?
Answer:
The base cost of the camera, exclusive of sales tax, is $160.
Step-by-step explanation:
Set up this equation and solve for x, which is the cost of the camera:
$3.20 = $0.02x [0.02 = 2%]
Solve the equation by dividing $3.20 by 0.02. The answer is $160.
Answer: $160 for the camera
Step-by-step explanation:
0.2x160=3.2
$160
question 3&4 help me please
Answer:
3. (1-7/9)÷2 = 2/9÷2 = 1/9
reciprocal of 1/9 is 9
4. x+2/x=3
if you solve it, you get x = 1 and x = 2, so last option, 1 and 2, is the answer
Answered by GAUTHMATH
The graph of which functions has an axis of symmetry at x = -1/4?
Answer:
2x^2 + x - 1
If I did anything you didn't understand let me know so I can explain.
Step-by-step explanation:
All of them are quadratics so let's use that.
The first one is 2x^2 + x - 1. To find the axis of symmetry the strategy is usually to find the two zeroes of a quadratic and pick the number between them. Something to notice though is that 2x^2 + x - 1 is just 2x^2 + x sshifted down 1, so they both have the same axis of symmetry. So I am going to ignore the constant, because then finding the zeroes is much much simpler. I am going to do this with all opions.
So 2x^2 + x - 1 I am just going to use 2x^2 + x. If you factor out an x you get x(2x + 1) So now we have it in factored form and we know the zeroes are 0 and -1/2. The number directly in between these is -1/4, so the axis of symmetry is x = -1/4. I don't know if there is only one with that axis of symmetry so i am going to check the rest.
2x^2 - x + 1 means we are only going to look at 2x^2 - x. factoring we get x(2x - 1) so the zeroes are 0 and 1/2, so the axis of symmetry is at 1/4.
x^2 + 2x - 1 we only use x^2 + 2x. Factored form is x(x+2) so zeroes are 0 and -2 whichh means axis of symmetry is -1
x^2 - 2x + 1 has the same axis of symmetry as x^2 - 2x, which has zeros at 0 and 2 so the axis of symmetry is at 1.
So yep, it was just the first one.
9514 1404 393
Answer:
(a) f(x) = 2x^2 +x -1
Step-by-step explanation:
For ax^2 +bx +c, the axis of symmetry is x = -b/(2a). For the offered answer choices, the axes of symmetry are ...
a) x = -1/(2·2) = -1/4 . . . . . . the function we're looking for
b) x = -(-1)/(2·2) = 1/4
c) x = -2/(2·1) = -1
d) x = -(-2)/(2·1) = 1
The function with axis of symmetry x = -1/4 is f(x) = 2x^2 +x -1.
How to solve this question pls help asap
Answer:
answered by g a u t h m a t h
Step-by-step explanation:
Determine whether the statement below is true or false diam is a rhombus
Answer:
true
Step-by-step explanation:
Answer:
true
Step-by-step explanation:
it has all the properties matching with a rhombus
answer from gauthmath