Answer:
your correct
Step-by-step explanation:
Answer:
I think the one you have answered is correct.
Margaret took a trip to Italy. She had to convert US dollars to euros to pay for her expenses there. At the time she was traveling, the conversion rate was represented by the function , where n is the number of dollars and E(n) is the equivalent value in euros. Later, she traveled to Dubai and converted her remaining euros into the local currency, UAE dirhams. At that time, the conversion rate was represented by the function , where x is the number of euros and D(x) is the equivalent value in dirhams. Which function can be used to convert n dollars directly to dirhams?
The conversion rate US dollars to Euros is represented with the function:
E(n)=0.72n
n- number of dollars
E(n) - Euros as a function of US dollars
The conversion rate Euros to Dirhams is :
D(x)=5.10x
x- number of Euros
D(x)- Dirhams as a function of Euros
We are trying to find D(x) in terms of n.
D(x) = 5.10x
x can be rewritten as E(n)
D(x) = 5.10(E(n))
D(x) = 5.10(E(n))
D(x) = 5.10(0.72n)
D(x) = 3.672n
According to this the following statement is true:
A) (D x E)(n) = 5.10(0.72n)
50 POINTS PLEASE HELP
Given the list of measures of EXTERIOR angles (missing one) of a polygon, find the missing angle:
a. ___, 92°, 28°, 55°, 75°, 55°
b. ___, 71°, 69°, 40°, 62°
c. ___, 120°, 38°, 80°
d. ___, 90°, 60°, 40°, 30°, 60°, 30°
Answer:
Step-by-step explanation:
The measures of the exterior angles of all polygons add up to 360. So all we have to do is subtract the given values from 360 and we will have the missing angle.
a. 55
b. 118
c. 122
d. 50
Solve each of the following:
a) x² + 4x – 77 = 0
b) x(x + 4) = -2(3x + 8)
Please show your work
Answer:
a.) x=7 or x=-11
b.) x=−2 or x=−8
Step-by-step explanation:
a) x² + 4x – 77 = 0
Step 1: Factor left side of equation.
(x−7)(x+11)=0
Step 2: Set factors equal to 0.
x−7=0 or x+11=0
x=7 or x=−11
b.) x(x + 4) = -2(3x + 8)
Step 1: Simplify both sides of the equation.
x^2+4x=−6x−16
Step 2: Subtract -6x-16 from both sides.
x^2+4x−(−6x−16)=−6x−16−(−6x−16)
x^2+10x+16=0
Step 3: Factor left side of equation.
(x+2)(x+8)=0
Step 4: Set factors equal to 0.
x+2=0 or x+8=0
x=−2 or x=−8
Answer:
a) {-11, 7}.
b) {-8, -2}
Step-by-step explanation:
a) x^2 + 4x - 77 = 0
To factor this we need 2 numbers whose product is -77 and sum is + 4.
They are + 11 and - 7, so:
( x + 11)(x - 7) = 0
x + 11 = 0 or x - 7 = 0
x = -11, 7.
b) x(x + 4) = -2(3x + 8)
x^2 + 4x = -6x - 16
x^2 + 4x + 6x + 16 = 0
x^2 + 10x + 16 = 0
(x + 2)(x + 8) = 0
x = -8, -2.
10. Two planes are flying one directly behind the other. Both planes are at an alttude of 1.7 miles. The angle
of depression to the airport from the plane closer to the airport is 58. The angle of depression to the
airport from the plane farther from the airport is 37. What is the distance between the two planes to the
nearest tenth of a mile?
A 1.0
B 23 -
C 12
D Not here
(⅔)-⁴ (two over three to the power minus 4)
I need answer asap pleaseeeee
Answer:
81/16
Step-by-step explanation:
(⅔)-⁴
81/16
= 5.0625
Can you answer this math homework? Please!
Answer:
Height is equal = Y = 1.8 X + 3.1 = 2.3 X + 1.9
=> 2.3 X - 1.8 X = 3.1 - 1.9
=> 0.5 X = 1.2
=> x = 1.2/0.5 = 2.4
Time = 2.4 weeks
Step-by-step explanation:
Answer:
2.4
Step-by-step explanation:
simplify the following
[tex]simplify \: the \: follwing \: \\ logx \: x9[/tex]
please I need help
Answer:
9
Step-by-step explanation:
Using the rules of logarithms
log[tex]x^{n}[/tex] = nlogx
[tex]log_{b}[/tex] b = 1
Then
[tex]log_{x}[/tex] [tex]x^{9}[/tex]
= 9[tex]log_{x}[/tex] x
= 9
Each side of a pentagon is 10 cm greater than the previous side. If the perimeter of this pentagon is 500 cm, find the lengths of the sides.
Answer: See explanation
Step-by-step explanation:
The perimeter of a pentagon is gotten through the summation of its five sides. Let the first side be represented by x. Since each side of a pentagon is 10 cm greater than the previous side, then the sides will be:
First side = x
Second side = x + 10
Third side = x + 10 + 10 = x + 20
Forth side = x + 30
Fifty side = x + 40
Therefore,
x + (x + 10) + (x + 20) + (x + 30) + (x + 40) = 500
5x + 100 = 500
5x = 500 - 100
5x = 400
x = 400/5
x = 80
Therefore, the lengths will be:
First side = x = 80cm
Second side = x + 10 = 80 + 10 = 90cm
Third side = x + 20 = 80 + 20 = 100cm
Forth side = x + 30 = 80 + 30 = 110cm
Fifty side = x + 40 = 80 + 40 = 120cm
A 4.0kg brick is sliding on a surface. The coefficient of kinetic friction between the surfaces is 0.25. What is the size of the force of friction?
a. ON b. 1 N
c. 10 N
d. 4 N
Answer:
Choice C. 10N
Step-by-step explanation:
[tex]F_{k} =U_{k} *F_{N}\\F_{k} =.25*[(4kg*10m/s2)] : [40N][/tex]
[tex]F_{k} =10N[/tex]
17
x
3
8
Find the unknown side length, x. Write your answer in simplest radical form.
A 15
B. 5/10
C2/70
D. 4 37
==========================================================
Explanation:
It helps to add point labels. Let's place point A at the very top point of the triangle. Then point B will be at the 90 degree angle. Point C is the far left point. Lastly, point D is on segment BC such that DC = 3.
Since BC = 8 and CA = 17, we can use the pythagorean theorem to get...
(AB)^2 + (BC)^2 = (AC)^2
(AB)^2 + (8)^2 = (17)^2
(AB)^2 + 64 = 289
(AB)^2 = 289-64
(AB)^2 = 225
AB = sqrt(225)
AB = 15
Now focus on triangle ABD and apply the pythagorean theorem again to find side AD
(AB)^2 + (BD)^2 = (AD)^2
AD = sqrt( (AB)^2 + (BD)^2 )
AD = sqrt( (AB)^2 + (BC-CD)^2 )
AD = sqrt( (15)^2 + (8-3)^2 )
AD = sqrt(250)
AD = sqrt(25*10)
AD = sqrt(25)*sqrt(10)
AD = 5*sqrt(10) .... answer is choice B
Instructions: Find the missing side. Round your answer to the nearest tenth.
36
Х
71°
Answer:
x = 12.4
Step-by-step explanation:
Since this is a right triangle, we can use trig functions
tan theta = opp / adj
tan 71 = 36/x
x tan 71 = 36
x = 36/tan 71
x=12.39579
To the nearest tenth
x = 12.4
On a tuesday a magician said i made my wife disappear 31 days ago what day of the week did he make her disappear
Answer:
Saturday.
Step-by-step explanation:
To answer the above question, we must recognise that Tuesday appears once every 7 days.
If today is Tuesday, 31 days ago will be obtained as follow:
31/7 = 4 remainder 3
Thus
31 = (7 × 4) + 3
31 = (28) + 3
Thus, the 28th day is Tuesday. If we count 3 days back from Tuesday, the day will be Saturday.
Therefore, the magician made his wife disappear on Saturday.
Solve the inequality and write the solution in interval notation:
x-6/x+5 <0
(-5, 6)
[-5, 6)
(-infinity,-5) U [6,infinity)
(-infinity,-5] U (6,infinity)
Answer:
A
Step-by-step explanation:
Firstly x cannot be -5 because the expression on th left would be undefined so it's only between choices a and c.
Create a number line with makes the expression on left 0 and undefined...so at 6 and -5 this happens.
-------(-5)--------(6)---------
Let's test the 3 intervals by choosing a value from that interval to see if all numbers from that interval will make the expression on left less than 0.
Number before -5 is -6:
(-6-6)/(-6+5)=-12/-1=12 >0 so this interval is not a part of our solution.
Number between -5 and 6 is 0:
(0-6)/(0+5)=-6/5<0 so this interval is a part of our solution
Number after 6 like 7:
(7-6)/(7+5)=1/12>0 so this interval is not a part of our solution.
The winner is everything between-5 and 6 so answer is A.
HELP?p?P?p?p?p?P?P?p?p?p?p?P?p?p?p?p?p?p?pp?p?p?P
Answer:
Yes, its a rational number.
Step-by-step explanation:
Rational numbers can be whole numbers, fractions, and decimals, and in this case it is a decimal.
Hope this helped!
Answer: yes
Step-by-step explanation:
yes 1.86 is a rational number
please help with these two questions!!
6√5 + 3√6 = 6√5 + 3√6 [cannot be simplified]
; roots do not contain any perfect squares, and the roots are not similar.
6√5(3√6) = 18√30 [can be simplified]
; although roots do not contain any perfect squares, the product rule can be applied to create a singular expression.
When this open-ended cylinder is opened out, it forms a rectangle with a width of 25 cm. What is the area of the rectangle?.
Answer:
Just want the points
Step-by-step explanation:
i’ve came so far and i’m almost there.. please help!!
Answer:
m = -1/3
Step-by-step explanation:
To get the slope of the line, we identify two points on the line and use the slope formula
We can have the points (-2,3) and (1,2)
We have the slope formula as;
m = (y2-y1)/(x2-x1)
m = (2-3)/(1 + 2) = -1/3
Ilhan needs to write in function notation and evaluate this equation at the given value of the
independent variable. What answer should she get? 6x + y = 3; x=3
Answer:
it should be the second one I hope this help
HELPPPP, which expression is it?
Answer: D
Step-by-step explanation:
formula=V=(π)r2h
What is the tangent ratio of angle B?
a. tan= BC/AB
b. tan= AC/AB
c. tan= AC/BC
d. tan= BC/AC
Answer:
C
Step-by-step explanation:
tanB = [tex]\frac{opposite}{adjacent}[/tex] = [tex]\frac{AC}{BC}[/tex] → C
What is the solution to the equation?
3 + V3x – 5= x
Answer: (D) 7
Step-by-step explanation:
2/3 of a number is 11 work out half the number
Answer:
33/4
Step-by-step explanation:
Let n = number
2/3 * n = 11
Multiply each side by 3/2
3/2 * 2/3 n = 11 * 3/2
n = 33/2
We want to find 1/2 of n
1/2 * 33/2 = 33/4
12. (05.02 LC) Look at the figure below: an image of a right triangle is shown with an angle labeled y If sin y° = 7 over q and tan y° = 7 over r, what is the value of sec y°? (4 points) sec y° = q over r sec y° = 7r sec y° = 7q sec y° = r over q
Answer:
[tex]sec~y=\frac{q}{r}[/tex]
Step-by-step explanation:
[tex]tan ~y=\frac{7}{r} \\\\\frac{sin~y}{cos~y} =\frac{7}{r} \\\\sin~y=\frac{7}{r} cos~y\\sin ~y=\frac{7}{q} \\\frac{7}{q} =\frac{7}{r} cos~y\\sec~y=\frac{7}{r} \times \frac{q}{7} =\frac{q}{r}[/tex]
The tangent is equal to the product of the sine and secant. The value of sec y is q over r, then the correct option is A.
What is a right-angle triangle?It is a type of triangle in which one angle is 90 degrees and it follows the Pythagoras theorem and we can use the trigonometry function. The Pythagoras is the sum of the square of two sides is equal to the square of the longest side.
If sin y = 7/q and tan y = 7/r.
Then the value of sec y will be
We know that the identity
[tex]\sec x =\dfrac{\tan x}{\sin x}[/tex]
Then we have
[tex]\rm \sec y = \dfrac{7/r}{7/q} \\\\\\\sec y = \dfrac{q}{r}[/tex]
The value of sec y is q over r.
More about the right-angle triangle link is given below.
https://brainly.com/question/3770177
Solve the following inequality: |x + 1| <_3
<_ = greater than or equal to
Answer:
x <= -4 or x >= 2
Step-by-step explanation:
so, it actually says
|x+1| >= 3
so, then, this is valid for all x >= 2 (then x+1 is 3 or higher), and for all x <= -4 (then x+1 is -3 or lower, and |x+1| is still 3 or higher)
Help anyone can help me do 16 and 17 question,I will mark brainlest.The no 16 question is find the area of the shaded region
Answer:
Question 16 = 22
Question 17 = 20 cm²
Step-by-step explanation:
Concepts:
Area of Square = s²
s = sideArea of Triangle = bh/2
b = baseh = heightDiagonals of the square are congruent and bisect each other, which forms a right angle with 90°
Segment addition postulate states that given 2 points A and C, a third point B lies on the line segment AC if and only if the distances between the points satisfy the equation AB + BC = AC.
Solve:
Question # 16
Step One: Find the total area of two squares
Large square: 5 × 5 = 25
Small square: 2 × 2 = 4
25 + 4 = 29
Step Two: Find the area of the blank triangle
b = 5 + 2 = 7
h = 2
A = bh / 2
A = (7) (2) / 2
A = 14 / 2
A = 7
Step Three: Subtract the area of the blank triangle from the total area
Total area = 29
Area of Square = 7
29 - 7 = 22
-----------------------------------------------------------
Question # 17
Step One: Find the length of PT
Given:
PR = 4 cmRT = 6 cmPT = PR + RT [Segment addition postulate]
PT = (4) + (6)
PT = 10 cm
Step Two: Find the length of S to PT perpendicularly
According to the diagonal are perpendicular to each other and congruent. Therefore, the length of S to PT perpendicularly is half of the diagonal
Length of Diagonal = 4 cm
4 ÷ 2 = 2 cm
Step Three: Find the area of ΔPST
b = PT = 10 cm
h = S to PT = 2 cm
A = bh / 2
A = (10)(2) / 2
A = 20 / 2
A = 10 cm²
Step Four: Find the length of Q to PT perpendicularly
Similar to step two, Q is the endpoint of one diagonal, and by definition, diagonals are perpendicular and congruent with each other. Therefore, the length of Q to PT perpendicularly is half of the diagonal.
Length of Diagonal = 4 cm
4 ÷ 2 = 2 cm
Step Five: Find the area of ΔPQT
b = PT = 10 cm
h = Q to PT = 2 cm
A = bh / 2
A = (10)(2) / 2
A = 20 / 2
A = 10 cm²
Step Six: Combine area of two triangles to find the total area
Area of ΔPST = 10 cm²
Area of ΔPQT = 10 cm²
10 + 10 = 20 cm²
Hope this helps!! :)
Please let me know if you have any questions
What is the length of the hypotenuse in the right triangle shown below?
45°
45
6
Answer:
option A
Step-by-step explanation:
let the hypotenuse be x
take 45 degree as reference angle and use cos rule
cos 45 = adjacent/hypotenuse
1/[tex]\sqrt{2[/tex] = 6/x
do cross multiplication
6*[tex]\sqrt{2[/tex] = x *1
6[tex]\sqrt{2}[/tex] = x
Answer:
Answer is a
Step-by-step explanation:
Thats what i got
HURRY PLEASEE!!!! TAKING AN EXAM !! AND ITS TIMED!!! WILL GIVE BRAINLIEST!!
which rule represents the translation from the pre image ∆abc to ∆a'b'c'?
(x,y)-->(x+7,y+6)
(x,y)-->(x+7,y-6)
(x,y)-->(x-6,y+7)
(x,y)-->(x+6,y+7)
Answer:
B (x+7, y-6)
Step-by-step explanation:
It goes right 7 and down 6
Answer:
(x,y) --> (x+7, y-6)
Step-by-step explanation:
Good luck with your exam! :DD
HELPASAP (15 points)
A circle with an arc length of ____ centimeters is intercepted by a central angle of 3pi/4 radians has a radius of ____ centimeters.
1st Blank Options: 12pi, 4pi, 2pi
2nd Blank Options: 3, 16, 24
Solve for x. X/5-x/6=1/3 x = 10 x = 1/90 x = 1/10
Answer:
x=10
Step-by-step explanation:
I hope this will help you
What is the value of y?
Answer:
C, 40 degrees
Step-by-step explanation:
All the angles of a triangle add to 180 degrees according to the Triangle Sum Theorem.
Since all angles sum to 180, we can set all the values to add to 180.
We have:
[tex]2y+y+10+50=180[/tex]
Combining like terms, we have:
[tex]3y+60=180[/tex]
Subtracting 60 from both sides gets us
[tex]3y=120[/tex]
Dividing by 3 from both sides equals
[tex]y=40[/tex]
Answer:
I think the value of y is 40
Step-by-step explanation:
Here, 2y+ y+ 10+50=180°( sum of all angles of triangle)or, 3y+ 60=180or, 3y=180-60or, 3y=120or, y= 120÷3:.y= 40