Answer:
x = 21
Step-by-step explanation:
Based on the inscribed angle theorem, we would have:
120° = 2(3x - 3)°
Solve for x
120 = 2*3x - 2*3
120 = 6x - 6
Add 6 to both sides
120 + 6 = 6x
126 = 6x
Divide both sides by 6
126/6 = x
21 = x
x = 21
principal- $900, interest rate ordinary- 4%, term (days)- 45. find the interest
Answer:
hope this helps to find the interest
Step-by-step explanation:
450
PLZ HELP ASAP!!! 9 equals x over 2 + 2
Please help me with this question if you can
Answer:
c
Step-by-step explanation:
supplementary means together that equal 180°, implying that 4 and 1 are equal, five and three are equal, which makes line k in line j parallel to each other.
1. Dylan invested $47,000 in an account paying an interest rate of 4% compounded annually. Assuming no deposits or withdrawals are made, how long would it take, to the nearest tenth of a year, for the value of the account to reach $79,200?
2. x^2 + y^2 = 153 and y = -4x. If (x, y) is a solution to the system of equations above, what is the value of y^3?
Answer:
(1) 13.0 years
(2) [tex]y^{3} =[/tex] {-1728, 1728}
Step-by-step explanation:
(1)
Compound annually:
[tex]Pe^{rt}[/tex] = A
(47000)[tex]e^{(0.04)(t)}[/tex] = 79200
[tex]e^{(0.04)(t)}[/tex] = [tex]\frac{79200}{47000}[/tex]
ln([tex]e^{(0.04)(t)}[/tex]) = ln([tex]\frac{79200}{47000}[/tex])
ln and e cancel out.
(0.04)(t) = ln([tex]\frac{79200}{47000}[/tex])
t = [tex]\frac{ln(\frac{79200}{47000})}{0.04}[/tex]
t = 13.0 years
(2)
[tex]x^{2} +y^{2} = 153\\y = -4x[/tex]
Substitute y with -4x.
[tex]x^{2} + (-4x)^{2} = 153[/tex]
Solve for x.
x = {-3, 3}
Plug in x values into any equation to find y.
y = -4(-3) and y = -4(3)
y = {-12, 12}
[tex]y^{3}[/tex] = [tex]-12^{3}[/tex] = -1728
[tex]y^{3}[/tex] = [tex]12^{3}[/tex] = 1728
Answer:
13.3
Step-by-step explanation:
I got it right
find the area of the large and small rectangles :,))
Answer:
the area of the large rectangle is 120m squared in the area of the smaller triangle is 14m squared
Answer:
Area of large rectangle = 120m²
Area of small rectangle = 14m²
Step-by-step explanation:
Large rectangle:
Length = 12m
Breadth = 10m
Area of rectangle = l × b
Area = 12 × 10
Area = 120m²
Small rectangle:
Length = 7m
Breadth = 2m
Area of rectangle = l × b
Area = 7 × 2
Area = 14m²
The sum of three times a number and six is nine
Explanation is in a file
bit.[tex]^{}[/tex]ly/3a8Nt8n
Theresa buys 62 stickers. She gives 6 stickers to her little sister. Theresa then splits the remaining stickers evenly across 8 pages of her album. How many stickers does Theresa put on each page?
Answer:
7 stickers on each page.
Step-by-step explanation:
We start with 62 stickers.
Then we give 6 to the little sister, so we subtract 6 from 62.
62-6=56
Then we divide the remaining 56 stickers evenly across 8 pages.
56/8=7
7 stickers on each page.
Find the volume of the sphere below. Leave your answer in terms of pi.
Answer:
C) 972π
Step-by-step explanation:
Volume of a sphere formula:
V = 4/3πr³
Given:
r = 9
Work:
V = 4/3πr³
V = 4/3π9³
V = 4/3(729)π
V = 972π
What’s another word for average
Answer:
Normal/standard
Step-by-step explanation:
Answer:
Ordinary
Step-by-step explanation:
find the missing base below
|
|
|
V
Step-by-step explanation:
area of a parallelogram is bh
so if a parallelogram has a base of b and a height of 10 and an area of 140
b(10)=140
b=14
Hope that helps :)
What is 1/6 as a percent.
Answer:
16.66 %
Step-by-step explanation:
1 / 6 as a percent
= ( 1 / 6 ) x 100
= 100 / 6
= 16.66 %
Help me please :(.....
Answer:
1, 1, 3, 3
Step-by-step explanation:
For an even function, f(-x) = f(x).
So, f(-1) = f(1) = 1.
Similarly, the other three blanks are 1, 3, and 3, respectively.
a farmers market sells apples for $2.30 per pound. what would be the cost of 3 2/5 pounds of apples
Answer:
7.20
Step-by-step explanation:
Answer:
7.20 or 6.90
Step-by-step explanation: most likely 7.20 because 3 pounds of apples is 6.90 so adding a half to that would be 7.20
HELP NEED ANSWER ASAP!
Answer:
I am pretty sure the anwser is 7
Answer:
The median is 7.
Step-by-step explanation:
The median is 7 because, in a box plot, the line inside of the box is the median. That line is over 7 on the number line.
What’s another word for average
Answer:
Mean,median, mode, rule, par, normal etc.
Step-by-step explanation:
Find the area and perimeter of ABC. A(-2,-4)B(1,5)C(2,2)
The area of triangle ABC is 23.5 square units and the perimeter is 20.4174 units.
To find the area and perimeter of the given triangle ABC, we need to apply the following formulas:Formula for Distance between two points:
The distance between two points (x1, y1) and (x2, y2) is given by:
AB = √(x2-x1)²+(y2-y1)²BC = √(x3-x2)²+(y3-y2)²AC = √(x3-x1)²+(y3-y1)²
Formula for Area of Triangle: If we know the length of the three sides of a triangle then,
using Heron's formula, we can calculate the area of the triangle as:
area = √s(s-a)(s-b)(s-c)where a, b, and c are the lengths of the sides of the triangle and s is the semi-perimeter of the triangle, which is given as s = (a+b+c)/2
Formula for Perimeter of Triangle: The perimeter of the triangle is the sum of the lengths of its sides.
That is: perimeter = AB + BC + ACArea of ΔABCAB
= √(1 - (-2))² + (5 - (-4))²AB
= √3²+9² = √90BC
= √(2 - 1)² + (2 - 5)²BC
= √1²+3² = √10AC
= √(2 - (-2))² + (2 - (-4))²AC
= √4²+6²
= √52Semi-Perimeter (s)
= (AB + BC + AC)/2
= (√90 + √10 + √52)/2
= 12.8572Area of ΔABC
= √s(s-a)(s-b)(s-c)
= √12.8572(12.8572-√90)(12.8572-√10)(12.8572-√52)
= 23.5
Perimeter of ΔABC = AB + BC + AC = √90 + √10 + √52 = 20.4174
To learn more about : area
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The Northwood Clock Tower measures 193 meters tall. Dante is creating a scale model of this building using the scale 75 meters : 1 meter.
To the nearest tenth of a meter, what will be the height of the scale model?
Step-by-step explanation:
Height of real/height of scale=ratio of scale
193/x=75/1
x=2.6
Hope that helps :)
everyday at 9:15 a.m. Jesse takes his dog for a walk for 30 minutes. he then takes the next 2 hours to work on his computer before he eats lunch. what time does he eat lunch?
Answer:
Jesse eats lunch at 11:45 a.m.
Find a basis of the subspace
Find a basis of the subspace of R4
that consists of all vectors perpendicular to both
[1,0,5,-9] and [0,1,9,-7].
A basis of the subspace that consists of all vectors perpendicular to both [1,0,5,-9] and [0,1,9,-7] is [-5, -9, 5].
To find a basis of the subspace that consists of all vectors perpendicular to both [1,0,5,-9] and [0,1,9,-7], we can use the concept of the cross product.
Let's consider the vectors [1,0,5,-9] and [0,1,9,-7] as vectors A and B, respectively.
We can find a vector C that is perpendicular to both A and B by taking the cross product of A and B.
C = A × B
To compute the cross product, we can use the following determinant formula:
C = [i, j, k]
[1, 0, 5]
[0, 1, 9]
Expanding the determinant, we have:
C = (0 × 9 - 1 × 5)i - (1 × 9 - 0 × 5)j + (1 × 5 - 0 × 1)k
= -5i - 9j + 5k
Therefore, we have found a vector C that is perpendicular to both [1,0,5,-9] and [0,1,9,-7], which is C = [-5, -9, 5].
To find a basis of the subspace, we can use this vector C as the basis vector. Since it is the only vector in the subspace, it forms a basis.
So, a basis of the subspace that consists of all vectors perpendicular to both [1,0,5,-9] and [0,1,9,-7] is [-5, -9, 5].
for such more question on vectors perpendicular
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Please help and I’ll mark brain list!
Answer:
y = 6
Step-by-step explanation:
Answer:
Y = 6Step-by-step explanation:
5y + 1 = 31 -1 -1 [tex]\frac{5y}{5y}[/tex] = [tex]\frac{30}{5y}[/tex] Y = 6your most exciting day of school
Answer:
first day. yehahhhhhhhh
Answer:
School isn't exciting for me, lol.
Step-by-step explanation:
will report anybody who gives a link!
3,947 ÷ 45 = (?) R (?)
Answer:
87.7(1)
=
87 Remainder 32
22 points. The windows on the top row of a building are similar to the windows on the bottom row. Rectangle ABCD is similar to rectangle PQRS. If AB = 60 inches, what is PQ?
A. 60 in.
B. 40 in.
C. 30 in.
D. 20 in.
PQ are the first two letters and AB are the first two letters.
Since the windows are similar the letters in one are in the same orientation as the other ones.
This means PQ would be the same as AB
PQ = 60
The answer is A. 60 in.
Answer:
a
Step-by-step explanation:
Find the area of the following figure: 14ft 6ft 9ft
Step-by-step explanation:
s = a+b+c / 2
= 14+6+9 / 2
= 14.5 feet
Area = √s(s-a)(s-b)(s-c)
= √14.5×(14.5 - 14)×(14.5 - 6)×(14.5 - 9)
ANSWER: 18.410255294265 feet^2
help me quick please! i need it. hope you have a good night!
Answer:
cot θ = [tex]\frac{7\sqrt{51} }{51}[/tex]
sin θ = [tex]\frac{\sqrt{51} }{10}[/tex]
csc θ = [tex]\frac{10\sqrt{51} }{51}[/tex]
Step-by-step explanation:
First find the opposite side of angle θ by using the Pythagorean Theorem:
10² - 7² = (opposite side)²
100 - 49 = 51 => opposite side = √51
Use SohCahToa to find the values:
cot θ = adjacent/opposite = 7/√51 = [tex]\frac{7\sqrt{51} }{51}[/tex] (rationalize)
sin θ = opposite/hypotenuse = [tex]\frac{\sqrt{51} }{10}[/tex]
csc θ = hypotenuse/opposite = 10/√51 = [tex]\frac{10\sqrt{51} }{51}[/tex] (rationalize)
Hope this helps!
Melissa can ride 20 miles on her bike in 8 hours how many miles can she ride an a hour
Answer:
2.75 miles in 1 hour
Step-by-step explanation:
NEED HELP ASAP FREE BRAINLIST
9514 1404 393
Answer:
113.04, 4, 452.1678.5, 11, 863.5153.86, 10, 1538.6Step-by-step explanation:
When calculations are repetitive, I like to let a calculator or spreadsheet do them. Here we have used the formula for the base area:
B = πr² = 3.14×r²
In the second figure, the radius is half the diameter, so is 5 units.
The table in the attachment lists the base area B, the height h (from the figures), and the volume V. These are the values that you need to drag and drop to the boxes in your problem.
V = 113.04 · 4
V = 452.16 units³ . . . showing how the numbers are used in the first figure
The polynomial - 16 + v.t+s, represents the height (in feet) of an object, where v, is the initial vertical
velocity (in feet per second), s, is the initial height of the object (in feet), and is the time in seconds). Write a polynomial that represents the
height of the object. Then find the height of the object after 1 second.
Complete question is;
The polynomial -16t² + v_o(t) + s_o represents the height (in feet) of an object, where v_o is the initial vertical
velocity (in feet per second), s_o is the initial height of the object (in feet), and t is the time in seconds. Write a polynomial that represents the height of the object that has an initial velocity of 25 ft/s and initial height of 4ft. Then find the height of the object after 1 second.
Answer:
A) Polynomial is h(t) = -16t² + 25t+ 4
B) h(1) = 13 ft
Step-by-step explanation:
A) We are given;
h = -16t² + v_o(t) + s_o
Where;
v_o = the initial vertical velocity
s_o = the initial height of the object
t = the time
We are given;
v_o = 25 ft/s
s_o = 4 ft
Thus, polynomial that represents the height is;
h(t) = -16t² + 25t+ 4
B) after a time of 1 second, height is;
h(1) = -16(1²) + 25(1) + 4
h(1) = -16 + 25 + 4
h(1) = 13 ft
Please help!!!
The purple shape is a dilation of the black shape. What is the scale factor or the dial action?
Answer:
I belive it would be 1/5. ;;;
40 POINTS !! 40 POINTS !!
PLEASE HELP , DONT SKIP !
NO LINKS OR ILL REPORT YOU AND GET YOUR ACCOUNT DELETED.
Answer:
6
Step-by-step explanation: