[tex]\mathfrak{\huge{\orange{\underline{\underline{AnSwEr:-}}}}}[/tex]
Actually Welcome to the Concept of the exponents and indices.
here, we should remember one thing that,
3 ^3 = 27 and 1/3^x = 3^-x
so we get as,
(3^-3)^4-x = (3^3)^2x-1
==> 3^-12+3x = 3^6x-3
since the base is same that is 3 , we equate their powers.
-12x+3=6x-3
==> 3+3 = 6x+12x
==> 6 = 18x
hence ===> x = 6/18 = 1/3
hence, x = 1/3
who wants to help me??
Answer:
Function 1 is negative with a slope of -5 and Function 2 is positive with a slope of 3.
Step-by-step explanation:
Slope Formula: (y2 - y1)/(x2 - x1)
Function 1: m = -2 - (-12) / 1 - 3
m = 10 / -2
m = 5 / -1
m = -5
Function 2: m = 3/1
m = 3
Which ratio represents the cotangent of angle B in the right triangle below?
A. 5/3
B. 3/5
C. 3/4
D. 4/3
Answer:
C. 3/4
Step-by-step explanation:
Using the SOH CAH TOA identity;
tan theta = opposite/adjacent
From the diagram
Opposite = x
Adjacent = 12
tan <B = x/12
Since cot <B = 1/tan <B
cot <B = 12/x
Get x using pythagoras theorem
x² = 20²-12²
x² = 400 -144
x² = 256
x = 16
Hence cot <B = 12/16
cot <B =3/4
PLEESSSE HELP ASAP !!!! WILLL GET BRAINLIEST
Answer:
B
Step-by-step explanation:
B/ y - 4 = 4/3(x - 6)
Will give brainliest
Answer:
AC = 4.7 feet
Step-by-step explanation:
cos 20° = x
5
5 · cos 20° = x
4.7 = x
Aiku has one piece of rope that is 45 centimeters long and another that is 367 centimeters long.
How many meters of rope does Aiku have in all?
0.0412 m
0.412 m
4.12 m
41.2 m
Answer:
the 3rd one.
Step-by-step explanation:
Option D is correct, Aiku has a total of 4.12 meters of rope in all.
What is Equation?Two or more expressions with an Equal sign is called as Equation.
To find the total length of the rope in meters, we need to convert the lengths of the two ropes from centimeters to meters and then add them together.
The length of the first rope is 45 centimeters, which is equal to 0.45 meters (since 1 meter = 100 centimeters).
The length of the second rope is 367 centimeters, which is equal to 3.67 meters.
Adding these two lengths together, we get:
0.45 meters + 3.67 meters = 4.12 meters
Therefore, Aiku has a total of 4.12 meters of rope in all.
To learn more on Equation:
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can someone pls help it’s rate of change and i only need to do all of the evens. it’s due in an hour
Answer: I wasn't sure if number 18 was 350.00 but that's what I put down to do the problem hope I'm not too late.
9. $72.45
10. $15.52
11. $30.69
12. $48.95
13. $6.39
14. $67.6
15. $18.02
16. $51.6
17. $11.25
18. $175.00
19. $3.20
20. $10.00
21. $31.25
22. $45.90
Step-by-step explanation:
Maria is 12 years older than Jose. In 9 years Maria will be twice as old as Jose.
How old are they now?
Answer
This question has multiple answers to narrow it down to one we need to know how old is Maria.
Step-by-step explanation:
While in Manchester, England, Jaslene bought a sweater for £28(GBP). When she returned,
she saw the same sweater for $38CAD. Which sweater cost more? By how much in Canadian
dollars?
Answer:
The Manchester, England sweater is more expensive.
27 GBP is equal to 49.52 CAD, which is more than the 38 CAD from the afterwards.
Step-by-step explanation:
solve for x and y pls
How many perpendicular bisectors are required to be constructed to devide a line segment into four equal parts?
Answer:
Three perpendicular bisectors are required
Step-by-step explanation:
A perpendicular bisector of a line segment is a line that cuts the line segment at a 90° angle, dividing it into two equal halves.
In this example, one bisector produces two equal parts of the segment
two bisectors produce three segments and three bisectors, four segments as shown in the diagram.
Perpendicular bisectors are constructed using a compass and a pencil, you can check out how to construct one, it is pretty interesting.
How much money will Adriano’s online business earn this month
Two diagonals divide a square into 4 congruent triangles. The base of each triangle is 8 inches and the height is 5 inches. What is the area of the square?
80
Step-by-step explanation:
1. Find an area of 1 triangle:
5x8x1/2=20
2. Multiple by 4
20x4=80
Which of the following makes the equation true?
b/4 = 16
F- 64
G- 4
H- 16
J- 8
The answer is H-16! Hope this helps! :-)
Answer:
F:64
Step-by-step explanation:
64 divided by 4 is 16.
Unit test, Part 2: Measurement of Two-Dimensional Figures Please help!!!
Answer:
Step-by-step explanation:
1. Area of the composite figure = Area of the sector + Area of rectangle
Area of sector = (θ/ 360) x [tex]\pi[/tex][tex]r^{2}[/tex]
From the figure,
θ = 30, and r = 65
Area of sector = [tex]\frac{30}{360}[/tex] x [tex]\frac{22}{7}[/tex] x 65 x 65
= 1 1065.55[tex]m^{2}[/tex]
Area of rectangle = length x width
= 65 x 4
= 260 [tex]m^{2}[/tex]
Area of the composite figure = 1 1065.55 + 260
= 11325.55
Area of the composite figure is 11326 [tex]m^{2}[/tex].
2.
Circle sector is a section of a disk encompassed by two radii and an arc. The area of the composite figure is 29.9194 m².
What is a sector of a circle?A circular sector, also known as a circle sector or a disk sector, is a section of a disk encompassed by two radii and an arc, with the minor sector being smaller and the main sector being bigger.
[tex]\text{The area of the sector of the circle }= \pi r^2 \times \dfrac{\theta}{360^o}[/tex]
The area of the composite figure is the sum of the area of the sector of the circle and the area of the rectangle.
The area of the sector of the circle whose angle at the centre of the circle is 30°, while the radius of the circle is the length of the reactangle which is 5.5 cm.
[tex]\text{The area of the sector of the circle }= \pi r^2 \times \dfrac{\theta}{360^o}[/tex]
[tex]= \pi (5.5)^2 \times \dfrac{30}{360^o}\\\\=7.9194\rm\ m^2[/tex]
Thus, the area of the sector of the circle is 7.9194 m².
The area of the reactangle whose length is 5.5 inches while the width is 4 m.
[tex]\rm \text{Area of the rectangle} = Length \times width[/tex]
[tex]= 5.5 \times 4\\\\= 22\rm\ m^2[/tex]
Thus, the area of the rectangle is 22 m².
Now, the total area of the composite figure can be written as,
Area of the composite figure = Area of the sector of circle+Area of rectangle
Area of the composite figure = 7.9194 +22 = 29.9194 m²
Hence, the area of the composite figure is 29.9194 m².
Learn more about Sector of Circle:
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PLZ HELP DUE IN 3 MINUTES!!!!
Answer:
a1) 65
a2) 25
a3) 45
Step-by-step explanation:
all triangle equal to 180
Answer:
65
25
45
Step-by-step explanation:
1) green triangle 180 - 50 - 65 = 130 - 65 = 65
2) purple triangle 180 - 130 - 25 = 50 - 25 = 25
3) red triangle 180 - 45 - 90 = 90 - 45 = 45
Breanna currently has a 75 on her homework assignments. Her teacher will
give her 5 additional points for every extra credit assignment she
completes
DESPERATELY NEED HELP I WILL GIVE BRIANLYNESTTT
Answer:
7
Step-by-step explanation:
its 7
Answer:
slope Formula = y^2-y^1/x^2+x^1
Step-by-step explanation:
now,
[tex]10 - 3 \div 6 - 5 [/tex]
[tex]7 \div 1[/tex]
[tex] = 7[/tex]
Lines m and n are parallel. The measure of angle 6 is 55°.
What is the measure of angle 1?
35°
55°
125°
155°
Answer:155
Step-by-step explanation:
because they are parallel lines. If the angles differed even by 1°, eventually the lines would meet, therefore they would not be parallel.
Answer:
Firstly angle 6 and 2 are equal because of corresponding angles
so 6 = 2
Now angle 1 + 2 = 180 ( linear pair)
angle 1 = 180 - 55
1 = 125
hope it helps and your day will fine
At the end of the year, cars made in the current year are marked down to make room for
next year's models. One particular model had a sticker price of $45,160 when it was new. It
has just been marked down by 5%. What is the sale price of the vehicle?
Answer:
The sale price of the vehicle is $36885
Step-by-step explanation:
One particular model had a sticker price of $49,180 when it was new. This means that the initial cost of the car was $49,180. It has just been marked down by 25%. This means the initial price of the car was reduced by an amount. The amount by which the initial price of the car was reduced would be
25/100 × 49180 = 0.25 × 49180 = $12295.
The sale price of the vehicle would be
49180 - 12295 = $36885
5x
If the measurement of a central angle is
find the length of its intercepted arc in a circle with a radius of 15 inches.
a 33.4 inches
b. 35.6 inches
C. 37.5 inches
d. 39.3 inches
This question is incomplete
Complete Question
If the measurement of a central angle is 5pi/6, find the length of its intercepted arc in a circle with a radius of 15 inches
a 33.4 inches
b. 35.6 inches
C. 37.5 inches
d. 39.3 inches
Answer:
d. 39.3 inches
Step-by-step explanation:
We are to find the Arc length of the circle
To solve the above question, the formula is given as:
Arc length = Central angle × radius
From the above Question, we are given:
Central angle = 5pi/6 = 5π/6
Radius = 15 inches
Hence,
Arc length = 5π/6 × 15 inches
Arc length = 235.61944901923448/ 6
Arc length = 39.26990817 inches
Approximately , the Arc length
= 39.3 inches.
Therefore, Option d is the correct answer.
PLEASE HELP ME SOLVE THIS PROBLEM ASAP
Answer:
r = 1
Step-by-step explanation:
Solve the inequality 2x + 9 > 19 - 8x
x> 1
i hope it helps you ❤️❤️❤️
Which of the following represents the area of the shaded region in the figure above?
∫dcf(y)dy
the integral from c to d of f y d y
A
∫ba(d−f(x))dx
the integral from A to b of open paren d minus f of x close paren, dx
B
f′(b)−f′(a)
f prime times b minus f prime times A
C
(b−a)[f(b)−f(a)]
open paren b minus A close paren times open bracket f of b minus f of A close bracket
D
(d−c)[f(b)−f(a)]
It's B isn't it? If this is the question I'm thinking of. No image here so I'm just guessing.
Triangle QRS is rotated 180° about the origin. On a coordinate plane, triangle Q R S has points (negative 4, 1), (negative 4, 4), (2, 1). What are the coordinates of point S'?
Answer:
D. (2, -1)
Step-by-step explanation:
I took the test and got it right.
Triangle QRS is rotated 180° about the origin. On a coordinate plane, triangle Q R S has points (-4, 1), (-4, 4), (2, 1). So, the coordinates of point S will be (2, -1).
How does rotation by 90 degrees changes coordinates of a point if rotation is with respect to origin?Let the point be having coordinates (x,y).
If the point is in first quadrant:
Subcase: Clockwise rotation:
Then (x,y) → (y, -x)
Subcase: Counterclockwise rotation:
Then (x,y) → (-y, x)
If the point is in the second quadrant:
Subcase: Clockwise rotation:
Then (x,y) → (y, -x)
Subcase: Counterclockwise rotation:
Then (x,y) → (-y, x)
Triangle QRS is rotated 180° about the origin.
On a coordinate plane, triangle Q R S has points (-4, 1), (-4, 4), (2, 1).
So, the coordinates of point S will be (2, -1).
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I made 10 cups of granola that we eat in ⅔ cup servings. How many servings will we have out of the 10 cups of granola?
Answer:
15 servings
Step-by-step explanation:
divide the numbers
question in photo! giving away master
Answer:
D.) -3
Step-by-step explanation:
N is greater than -4 and less than -2.
Therefore, -3 is N since it is between -4 and -2.
Suppose that y varies directly with x. When x = -4, y=-14. Determine the value of y when
X=9
Answer:
if x=-4 & y=-14...then x=9 & Y= -1. which is minus 10
Step-by-step explanation:
-4 is 10 under -14. If X=9 then Y= -1.
A chess club with 45 members is electing a new president. Bob received 18 votes. What percentage of the club members voted for Bob?
Given:
A chess club with 45 members is electing a new president.
Bob received 18 votes.
To find:
The percentage of the club members who voted for Bob.
Solution:
We have,
Total number of members = 45
Votes received by bob = 18
Now, the percentage of the club members who voted for Bob is
[tex]\%=\dfrac{\text{Number of members voted for bob}}{\text{Total members}}\times 100[/tex]
[tex]\%=\dfrac{18}{45}\times 100[/tex]
[tex]\%=\dfrac{2}{5}\times 100[/tex]
[tex]\%=\dfrac{200}{5}[/tex]
[tex]\%=40[/tex]
Therefore, 40% of the club members voted for Bob.
What is the radius of this circle?
The radius of the circle is 3
In triangle XYZ, the measure of angle YXZ is 14.5*, and the measure of angle XYZ is 75. What is the measure of
angle XZY in degrees? (6.8A)