Answer:
Step-by-step explanation:
731² - 631² is the difference of squares.
731² - 631² = (731+631)(731-631) = 1362×100
therefore, 731² - 631² is divisible by 100
A tree cast a shadow 21 meters long. The angle of elevation of the sun is 51 degrees. What is the height of the tree?
Answer:
64feet
Step-by-step explanation:
a person walks 1/3 mile in 1/24 hour what is the persons speed in miles per hour?
Answer:
8mph
Step-by-step explanation:
Distance= 1/3 mile
time= 1/24 hour
Speed= distance/time
speed = 1/3 divided by 1/24
= 8mph
Answer:
8 im pretty sure
Step-by-step explanation:
if tantheta -cottheta =a and costheta +sintheta =b then 4b^2(2-b^2)
Answer:
= 4(1+sin2theta)²
Step-by-step explanation:
Given the equations
tantheta -cottheta =a... 1
costheta +sintheta =b .... 2
We are to find 4b^2(2-b^2)
Squaring both sides of equation 2
(costheta +sintheta)^2 = b^2
cos^2theta + 2costheta sintheta + sin^2 theta = b^2
(cos^2theta+ sin^2 theta) + 2costheta sintheta = b^2
1 + 2costheta sintheta = b^2
1 + sin2theta = b^2
substitute
4b^2(2-b^2)
= 4(1+sin2theta)(2-1+sin2theta)
4(1+sin2theta)(1+sin2theta)
= 4(1+sin2theta)²
1. Solve the formula h = 42t + 1/2at^2 for a
2. Solve the formula P = 2L + 2W for L.
Answer:
1) a = (2h-84t) / t²
2) L = (P-2W) / 2
Step-by-step explanation:
Formula #1:
step 1: subtract 42t
1/2at² = h - 42t
step 2: multiply by 2
at² = 2h - 84t
step 3: divide by t²
a = (2h - 84t) / t²
Formula #2:
step 1: subtract 2W
P - 2W = 2L
step 2: divide by 2
L = (P-2W) / 2
Complete the equation describing how c and y are related
This is very urgent!!!!!!!! URGENT URGENT!!!!!!!!!!!!!!!!!!!
Answer:
234
Step-by-step explanation:
Answer:
234
!
Step-by-step explanation:
Suppose that G(x) = F(x + 9). Which statement best compares the graph of G(x) with the graph of F(x)?
A. The graph of G(x) is the graph of F(x) shifted 9 units up.
B. The graph of G(x) is the graph of F(x) shifted 9 units to the right.
C. The graph of G(x) is the graph of F(x) shifted 9 units down.
D. The graph of G(x) is the graph of F(x) shifted 9 units to the left.
Answer:
Option D
Step-by-step explanation:
The graph of G(x) is the graph of F(x) shifted 9 units to the left.
The positive 9 in the parenthesis let's us know that the transformation should be 9 units to the left.
Pierre is rowing his kayak on a lake. He moves 1 à miles in 18 minutes. At this rate, how far would he move in 30 minutes ?
A 30 miles
B. 2 miles
OC 18 miles
OD. ot a mile
Answer:
Step-by-step explanation:
if Pierre moves 1 mile in 18 minutes
1 miles..............................18 minutes
? miles...............................30 minutes
the number of miles=30/18=10/6=1.66 miles
Solve.
sec 315 degrees
Answer:
1.41
Step-by-step explanation:
A cylinder has a height h, and a radius (3h-2)
The area of the base is pi (3h-2)^2
The volume of the clinder is V= pi(3h-2)^2h
10. Multiply the polynomials to simplify the expression for the volume:
V=pi(3h-2)^2h by
Answer:
[tex]V= 4\pi (9h^2 -12h + 4)[/tex]
Step-by-step explanation:
Given
Shape: Cylinder
[tex]Radius = 3h - 2[/tex]
[tex]Height = h[/tex]
[tex]Base\ Area = \pi (3h - 2)^2[/tex]
Required
Simplify the volume
The volume is calculated as:
[tex]Volume = Base\ Area * Height[/tex]
Substitute values for Base Area and Height
[tex]V= \pi(3h-2)^2*h[/tex]
Expand the bracket
[tex]V= \pi(3h-2)(3h-2)*h[/tex]
Open brackets
[tex]V= \pi (9h^2 -6h - 6h + 4) *h[/tex]
[tex]V= \pi (9h^2 -12h + 4) *h[/tex]
[tex]V= 4\pi (9h^2 -12h + 4)[/tex]
Find the difference.
4-(-8)=
Answer:
4
Step-by-step explanation:
subtract negative 4 by negative 8
Find two numbers whose sum is 8 and whose product is 17
Answer:
Step-by-step explanation:
x+y = 8
y = 8-x
xy = 17
x(8-x) = 17
8x - x² = 17
x² - 8x + 17 = 0
Quadratic formula
x = [8 ± √(8² – 4·1·17)] / [2·1]
= [8 ± √(-4)] / 2
= [8 ± 2i] /2
= 4±i
x = 4+i
y = 4-i
A quadratic equation is written in the form of ax²+bx+c. The two numbers whose sum is 8 and whose product is 17 are (4+i) and (4-i).
What is a quadratic equation?A quadratic equation is an equation whose leading coefficient is of second degree also the equation has only one unknown while it has 3 unknown numbers. It is written in the form of ax²+bx+c.
Let the first number be 'a' and the second number be 'b'. Therefore, the sum of the two numbers is,
a+b=8
The product of the two numbers is,
ab=17
b=17/a
now, the equation can be written as,
a+b=8
a+(17/a)=8
a² + 17 = 8a
a²-8a+17=0
a = 4±i
Hence, the two numbers whose sum is 8 and whose product is 17 are (4+i) and (4-i).
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The Anderson's are driving 2,563 miles to the beach. They plan to drive 325 miles a day. How many days will it take the Anderson's to drive to the beach?
Answer:
Around 8 days
Step-by-step explanation:
Divide 325 from 2,563
2563 / 325 = 7.888
Round that number
The width of a rectangle is 9 feet less than the length. The area is 580 square feet. Find the length and width of the rectangle.
Answer:
5220
Step-by-step explanation:
A=580, A=LW, W=L-9
580=L(L-9)
L^2-9L-580=0
(L-29)(L+20)=0, L>0 so L=29, W=29-9=20
Write the function whose graph is the graph of y=√x, but is shifted to the left 7 units .
Answer:2x + 7 = 15
Step-by-step explanation:
2x + 7 = 15
What is the distance from J to K?
Answer:
A. 13 units is the answer
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Answer:
13 Units
Step-by-step explanation:
Find the missing side. Round to the nearest tenth. 16 53° A) 20.0 C) 12.8 B) 25.8 D) 23.1
Answer:
b. 12.8
Step-by-step explanation:
napag aralan po namin yan boss
Consider f(x) = 1.8x – 10 and g(x) = −4.
A 2 column table with 6 rows. The first column, x, has the entries, negative 4, 0, 2, 4. The second column, f(x) has the entries, negative 17.2, negative 13.6, negative 10, negative 6.4, negative 2.8. A 2 column table with 6 rows. The first column, x, has the entries, negative 4, 0, 2, 4. The second column, fgx) has the entries, negative 17.2, negative 4, negative 4, negative 4, negative 4.
Select the equation that can be used to find the input value at which f (x ) = g (x ), and then use that equation to find the input, or x -value.
1.8x – 10 = –4; x = 1.8 x minus 10 equals negative 4; x equals StartFraction 10 Over 2 EndFraction.
1.8x = –4; x = 1.8 x equals negative 4; x equals negative StartFraction 20 over 9 EndFraction.
1.8x – 10 = –4; x = A 2 column table with 6 rows. The first column, x, has the entries, negative 4, 0, 2, 4. The second column, f(x) has the entries, negative 17.2, negative 4, negative 4, negative 4, negative 4.
–4 = x
Answer:
I got you
Step-by-step explanation:
A
Answer:
A. 1.8x – 10 = -4x = 10/3
Step-by-step explanation:
I did the assignment
y = 4sin(1/2x-6)
What is the graph for this equation and is there a reflection?
Crusaders attacked the city of Zara to rid it of Muslim influence tr
ue or false
Answer:
true
Step-by-step explanation:
Whoever answers this for me gets brainliest!! I need answers ASAP
Answer: 60
Step-by-step explanation:
Use proportions
Answer:
C.) 60
Step-by-step explanation:
435/12 = 60
12 x 5 = 60
In a right triangle, if the hypotenuse is equal to 16 feet and the side adjacent to ∠θ is equal to 5 feet, what is the approximate measurement of ∠θ?
A. 18°
B. 75°
C. 15°
D. 72°
Answer:
D. 72°
Step-by-step explanation:
Given
Adjacent = 5feet
Hypotenuse = 16feet
Using SOH CAH TOA
cos theta = adj/hyp
cos theta = 5/16
cos theta = 0.3125
theta = arccos 0.3125
theta = 71.7
theta = 72 degrees
Set up a proportion and use it to solve for x.
14
х
6
9
Answer:
x=21
Step-by-step explanation:
x/x+14=9/15
15x=9x+126
6x=126
x=21
42% of a number is 210. What is the number
Answer:
number is 500 hope this helps
Answer:
42%of n=210
42/100 ×n=210
n=21000/42=500
what are the first 4 multiples of 9
9,18,27,36,45
Step-by-step explanation:
25 POINTS!!!
What shape can be created by the given net?
triangular prism
square pyramid
cube
rectangular prism
Answer:
It's a rectangular prism :)
Step-by-step explanation:
Well I automatically know this because,
it can't be a triangle since the left and right corners aren't angled with 3 sides like a triangle
It can't be a square pyramid because that would mean it is the shape of a triangle when folded with a square base
It can't be a cube because cubes have sides equal in length, while this shape when folded is long in length and short in width
So the answer is a rectangular prism! Rectangles have long lengths and short widths and if this shape is folded from 2D to 3D that makes it a prism.
Hope this helps! Have a meowgical day :)))
Rectangular prism shape can be created by the given net.
What is triangular prism?A triangular prism is a 3D polyhedron with three rectangular faces and two triangular faces. The 2 triangular faces are congruent to each other, and the 3 lateral faces which are in the shape of rectangles are also congruent to each other. Thus, a triangular prism has 5 faces, 9 edges, and 6 vertices.
What is square pyramid?A square pyramid is a three-dimensional geometric shape that has a square base and four triangular sides that are joined at a vertex. It is a polyhedron (pentahedron) with five faces. A square pyramid consists of a square base and four triangles connected to a vertex. Its base is a square and the side faces are triangles with a common vertex.
What is cube?A cube is a 3D solid object with six square faces and all the sides of a cube are of the same length. It is also known as a regular hexahedron and is one of the five platonic solids. The shape consists of six square faces, eight vertices, and twelve edges. The length, breadth, and height are of the same measurement in a cube since the 3D figure is a square that has all sides of the same length
What is a rectangular prism?A rectangular prism is a prism whose bases (the top face and the bottom face) are also rectangles. It has 6 faces in all, out of which there are 3 pairs of identical opposite faces, i.e., all the opposite faces are identical in a rectangular prism. It has three dimensions, length, width, and height.
A rectangular prism has 6 faces, 12 edges (sides) and 8 vertices (corners). In the 12 edges, 3 edges intersect to form right angles at each vertex.
According to the question
We can observe that the net consists of 6 faces, out of which there are 3 pairs of identical opposite faces.
A rectangular prism is a prism whose bases (the top face and the bottom face) are also rectangles. It has 6 faces in all, out of which there are 3 pairs of identical opposite faces, i.e., all the opposite faces are identical in a rectangular prism. It has three dimensions, length, width, and height.
We can say that the given net is of rectangular prism.
Option D is correct.
Thus, rectangular prism shape can be created by the given net.
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5
A bag contains 15 red marbles, 13 blue marbles,
and the rest are yellow marbles. There are a
total of 50 marbles in the bag. What is the
probability of choosing a yellow marble?
Answer:
red +blue marbles :- 15 +13=28 marbles.
yellow marbles:- 50+28=22 marbles.
probability of yellow marble :- 22/50 i.e 11/25
In a brochure about an outdoor wilderness camp, the yearly attendance is rounded to 28,000 students.
Which could be the number of students who attended the camp if the attendance was rounded to the
nearest thousand?
Choose all answers that apply:
А
28,620
B
27.500
28.350
Answer:
B) 27,500
Looks like the decimal points in your question are a typo and should be commas... ;) If so, the answer is B
The Crews family went on a day trip to Nashville. For lunch they paid $7.50 for each adult meal and $5 for each child meal for a total of $65. For dinner the family paid $10.50 for each adult meal and $5 for each child meal for a total of $77. How many adults and how many children were on the trip?
Answer:
Number of adult were on the trip = 4
Number of child were on the trip = 7
Step-by-step explanation:
Let the Number of adult were on the trip = x
Let the Number of child were on the trip = y
As given,
For lunch they paid $7.50 for each adult meal and $5 for each child meal for a total of $65.
⇒7.50x + 5y = 65 ...........(1)
Also,
For dinner the family paid $10.50 for each adult meal and $5 for each child meal for a total of $77.
⇒10.50x + 5y = 77 ...........(2)
Now,
Subtract equation (2) from equation (1) , we get
10.50x + 5y - ( 7.50x + 5y ) = 77 - 65
⇒10.50x + 5y - 7.50x - 5y = 12
⇒10.50x - 7.50x = 12
⇒3x = 12
⇒x = [tex]\frac{12}{3}[/tex] = 4
⇒x = 4
Now,
Put the value of x in equation (2) , we get
10.50(4) + 5y = 77
⇒42 + 5y = 77
⇒5y = 77 - 42
⇒5y = 35
⇒y = [tex]\frac{35}{5}[/tex] = 7
⇒y = 7
∴ we get
Number of adult were on the trip = x = 4
Number of child were on the trip = y = 7
How does the graph of g(x) = - 1/x compare to the graph of f(x) = 1/x?
Answer:
The answer is B) g(x) is shift 5 units to the right and 2 units up from f(x).
Step-by-step explanation:
The equation that is given in this item can be written for clarity as follows:
g(x) = 1/(x - 5) + 2
It can be seen that the x-component is subtracted with 5 and the g(x) which would lie in the y-axis is added with two. This suggests that the graph of this equation is shifted to the right by 5 units and upwards by 2 units compared to the graph of the parent function.
The Graph for both function is attached below.
What is Translation?A translation in mathematics does not turn a shape; instead, it moves it left, right, up, or down. They are congruent if the translated shapes (or the image) seem to be the same size as the original shapes. They have only changed their direction or directions.
Given:
g(x) = - 1/x
and, f(x) = 1/x
The Graph shown below.
From the Graph we can see that the graph of g(x)= -1/x and f(x)= 1/x
shows the same graph but the position is changed in opposite of each other.
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