The length of AB is 20.253 unit.
We have,
Hypotenuse = 25 unit
<C = 54
<A= 39
Now, using sine law
a/ sin A= b / sin B
25/ sin 87 = AB / sin 54
25/ 0.99862953475 = AB/ 0.80901699437
AB = 20.253 unit
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Find the distance between the lines with equations 5x+8y=0 and y=-5/8x-8.
A.7.1
B.7.11
C.7.12
D.7.13
Answer:
B
Step-by-step explanation:
Answer: It's A 7.1
ON THE EDGE 2121!
I have a practice problem in the calculus subject, I’m having trouble solving it properly
The limit of a function is the value that a function approaches as that function's inputs get closer and closer to some number.
The question asks us to estimate from the table:
\(\lim _{x\to-2}g(x)\)To find the limit of g(x) as x tends to -2, we need to check the trend of the function as we head towards -2 from both negative and positive infinity.
From negative infinity, the closest value we can get to before -2 is -2.001 according to the values given in the table. The value of g(x) from the table is:
\(\lim _{x\to-2^+}g(x)=8.02\)From positive infinity, the closest value we can get to before -2 is -1.999 according to the values given in the table. The value of g(x) from the table is:
\(\lim _{x\to-2^-}g(x)=8.03\)From the options, the closest estimate for the limit is 8.03.
The correct option is the SECOND OPTION.
Evaluate: 10/ 12 • 2/ 3
Answer:
10/ 12 x 2/ 3 = 10/ 12 x 8/ 12 = 80/12 = 6 8/12
Pls mark brainliest, (Plz correct me if wrong)
Step-by-step explanation:
Help Asap.
Pleaseeee
Answer:
the expression is equal to 40
Step-by-step explanation:
When given a= 5 and b=2, you can change your expression to read
3+11(5)-9(2)
All you have to do is simplify and you are given 40 :)
The scale factor of two similar cylinders is 5:2. The volume of the smaller cylinder is 28 m3. What is the volume of the larger cylinder? Question 8 options: 350 m3 700 m3 437.5 m3 175 m3 70 m3
With a scaling ratio of 5:2, the larger cylinder's volume is (C) 70m³.
What is the scale factor?A scale factor is used when a shape is enlarged and each side is multiplied by the same quantity.
This number represents the scaling factor. Map scale factors are used to show distances between locations accurately.
The new shape created by scaling the original shape is twice as big when the scale factor is 2.
Thus, calculate the larger cylinder's volume as follows:
x/5 = 28/2
2x = 28*5
2x = 140
x = 70m³
Therefore, with a scaling ratio of 5:2, the larger cylinder's volume is (C) 70m³.
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Complete question:
The scale factor of two similar cylinders is 5:2. The volume of the smaller cylinder is 28 m3. What is the volume of the larger cylinder?
Question 8 options:
A. 700 m3
B. 350 m3
C. 70 m3
D, 437.5 m3
E. 175 m3
Answer: 70m^3
Step-by-step explanation:
I took the test
Natalya designed a patio for her backyard. The two brick
sections will be the same size and concrete fills the rest of
the patio. Her design and the scale she will use to build
the patio are both shown below.
The concrete portion of the patio will cost $3 per square
foot to construct and the brick portion of the patio will
cost $6 per square foot to construct.
How much will Natalya spend constructing the patio with
concrete and brick?
Scale
1 cm = 4 ft.
A
B
6 cm
$432
$648
Brick
Concrete
6 cm
3 cm
Brick
3 cm
OPTIONS
A
$432
B
$648
C
$2,160
D
$3,024
The amount natalya will spend constructing the patio with concrete and brick is $4320, the correct option is D.
We are given that;
The concrete portion of the patio cost=$3 per square
To construct and the brick portion of the patio cost= $6 per square
Now,
The area of a rectangle is given by length times width. The concrete portion of the patio is a rectangle with length 6 cm and width 3 cm. Using the scale, we can convert these to feet:
6 cm = 6 x 4 ft = 24 ft 3 cm = 3 x 4 ft = 12 ft
Therefore, the area of the concrete portion is:
24 ft x 12 ft = 288 ft^2
The brick portion of the patio consists of two identical rectangles with lenth 3 cm and width 6 cm. Using the scale, we can convert these to feet:
3 cm = 3 x 4 ft = 12 ft 6 cm = 6 x 4 ft = 24 ft
Therefore, the area of one brick rectangle is:
12 ft x 24 ft = 288 ft^2
Since there are two brick rectangles, the total area of the brick portion is:
2 x 288 ft^2 = 576 ft^2
Now we can multiply the areas by their costs per square foot to get the costs of each portion:
Concrete cost = $3 x 288 ft^2 = $864 Brick cost = $6 x 576 ft^2 = $3456
The total cost of constructing the patio is the sum of the costs of each portion:
Total cost = $864 + $3456 = $4320
Therefore, by area the answer will be $4320.
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solve for x in the diagram below
What is the intermediate step in the form (x+a)^2=b as a result of complementing the square for the following equations
The intermediate step in the form (x+a)²=b as a result of completing the square for the equation x² + 2x = 319 is (x+1)² = 320.
To use completing the square to solve the equation x² + 2x = 319, we have to write the left-hand side of the equation as a perfect square.
Add the square of half of the coefficient of x to both sides of the equation:
x² + 2x + (2/2)² = 319 + (2/2)²
x² + 2x + 1 = 320
The left-hand side of the equation can now be factored as a perfect square:
(x+1)² = 320
This is the equation in the form (x+a)²=b, where a=1 and b=320.
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The complete question is as follows:
What is the intermediate step in the form (x+a)²=b as a result of complementing the square for the following equation?
x² + 2x = 319
predator and prey difference
Answer:
predator killed animals to eat and prey is described as organism that predator kill for food.
For a project in his Geometry class, Amadou uses a mirror on the ground to measure the height of his school building. He walks a distance of 11.15 meters from the building, then places a mirror flat on the ground, marked with an X at the center. He then walks 1.05 more meters past the mirror, so that when he turns around and looks down at the mirror, he can see the top of the school clearly marked in the X. His partner measures the distance from his eyes to the ground to be 1.25 meters. How tall is the school? Round your answer to the nearest hundredth of a meter
The height of the school is 13.27 m.
What is a triangle?It is a two-dimensional figure which has three sides and the sum of the three angles is equal to 180 degrees.
We have.
From the information given, we can draw the figure given below,
Now,
Triangle ABC and Triangle DCE are similar.
So,
x / 1.25 = 11.15 / 1.05
x = (11.15 x 1.25) / 1.05
x = 13.27 m
Thus,
The height of the school is 13.27 m.
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I dont understand anything, plz help
Bob has been hired by Global Domination Inc. to examine the mass of widgets being produced by two
different factories. The data he gatheredare in the following tables:
Factory 1:
234 234 237 239 245 248 250 256 257 260
262 262 262 266 267 268 274 275 277 279
Factory 2:
146 247 249 250 251 253 253 254 255 257
257 257 258 259 261 266 267 267 269 274
Construct two box-and-whisker plots, one for each factory, and arrange them side-by-side using the
same scale.
6. exchanging integers create an array of randomly ordered integers. using the swap procedure from section 8.4.6 as a tool, write a loop that exchanges each consecutive pair of integers in the array
Here is an example of how you could exchange consecutive pairs of integers in an array using the swap procedure:
def swap(array, i, j):
temp = array[i]
array[i] = array[j]
array[j] = temp
# create an array of randomly ordered integers
import random
array = [random.randint(1, 100) for _ in range(10)]
print(array)
# exchange each consecutive pair of integers in the array
for i in range(0, len(array)-1, 2):
swap(array, i, i+1)
print(array)
This code creates an array of 10 randomly ordered integers, then uses a for loop to iterate over the array and exchange each consecutive pair of integers using the swap function. The for loop starts at index 0 and increments by 2 each iteration, so it processes the elements at even indices (0, 2, 4, etc.). The swap function takes three arguments: the array, and the indices of the elements to be swapped. It uses a temporary variable to store one of the elements, then swaps the elements by reassigning them to the correct indices. Finally, the modified array is printed to the console.
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Sam buys a tent priced at $50 if the sales tax is 5% how much tax will Sam pay
tax will be = 50 x 5% = $2.5
Express - 345 asin simplest form, where m and n are integers.Enter the correct answer in the box.-345 =
As -345 is an integer, the simplest fraction form is:
\(\frac{-345}{1}\)or -345/1 (m=-345, n=1).
PLEASE HELP I WILL MARK BRAINLIEST
Answer:
352sq.cm.
Step-by-step explanation:
There are a total of 5 cubes.
To find the surface area of the corner cubes, we have have to multiply 4^2 * 5 because one of the surface is attached to the other cube's surface. 16*5 is one cube's surface area, so times 2 gives us 160.
To find the surface area of the cubes in the middle, we have to multiply 4^2 * 4 because two of their sides are attached to other cube's side. So 16*3 = 64 and we have 3 of them so it's 192.
Now adding all the surface area, 192 + 160, we get a total of 352 for the surface area of that figure.
Please please please help me
I really need to pass this I will give brainliest and a lot of points please just help me solve this correctly
The length of side AB is about 5.87 units.
How to find the side of a right triangle?The triangle ABC is a right angle triangle. A right angle triangle is a triangle that has one of its angles as 90 degrees.
Therefore, let's find the length AB in the right triangle.
Using trigonometric ratios,
cos 33 = adjacent / hypotenuse
Therefore,
Adjacent side = AB
hypotenuse side = 7 units
cos 33° = AB / 7
cross multiply
AB = 7 cos 33
AB = 7 × 0.83867056794
AB = 5.87069397562
AB = 5.87 units
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2. Regina Aguirre deposits $2,000 into an ordinary annuity after each 6-month period for 4 years. The account
pays 6% interest compounded semiannually. Find the a) future value, and b) total interest earned.
26.
ZT.
Q
R
(9x - 17)
(4x + 28)
T
S
Simplifying
9x + -17 = 4x + 28
Reorder the terms:
-17 + 9x = 4x + 28
Reorder the terms:
-17 + 9x = 28 + 4x
Solving
-17 + 9x = 28 + 4x
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '-4x' to each side of the equation.
-17 + 9x + -4x = 28 + 4x + -4x
Combine like terms: 9x + -4x = 5x
-17 + 5x = 28 + 4x + -4x
Combine like terms: 4x + -4x = 0
-17 + 5x = 28 + 0
-17 + 5x = 28
Add '17' to each side of the equation.
-17 + 17 + 5x = 28 + 17
Combine like terms: -17 + 17 = 0
0 + 5x = 28 + 17
5x = 28 + 17
Combine like terms: 28 + 17 = 45
5x = 45
Divide each side by '5'.
x = 9
Simplifying
x = 9
Can you help me with this?
The vertices of triangle J'K'L' after a reflection of the triangle JKL over the x-axis is given as follows:
J'(-5, -5).K'(5, -7).L'(2,-3).How to model the reflection over the x-axis?The original vertices of the figure are given as follows:
J(-5,5), K(5,7) and L(2,3).
For a reflection over the x-axis, the reflection rule is defined as follows:
(x,y) -> (x,-y).
Meaning that the x-coordinate remains constant while the y-coordinate has the sign exchanged.
Then the vertices of the reflected figure are given as follows:
J'(-5, -5).K'(5, -7).L'(2,-3).More can be learned about transformations at https://brainly.com/question/29209050
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Is there a difference between shapes when plotting Uniform acceleration towards (+)directtion,Uniform acceleration towards (-)direction, Uniform deceleration towards (+) direction and Uniform deceleration towards (-) direction in displacement time graph
Yes, there is a difference in the shapes of the displacement-time graphs for uniform acceleration towards the positive direction, uniform acceleration towards the negative direction, uniform deceleration towards the positive direction, and uniform deceleration towards the negative direction.
Uniform acceleration towards the positive direction:
In this case, the object's velocity increases in the positive direction over time. The displacement-time graph will have a concave-upward shape, forming a curve that starts with a small slope and gradually becomes steeper as time progresses.
Uniform acceleration towards the negative direction:
Here, the object's velocity increases in the negative direction, meaning it accelerates in the opposite direction to its positive direction.
The displacement-time graph will have a concave-downward shape, forming a curve that starts with a steep slope and gradually becomes less steep as time progresses.
Uniform deceleration towards the positive direction:
In this scenario, the object's velocity decreases in the positive direction, but it still moves towards the positive direction.
The displacement-time graph will show a curve with a decreasing slope, forming a concave-downward shape, indicating that the object is slowing down.
Uniform deceleration towards the negative direction:
Here, the object's velocity decreases in the negative direction, opposing its initial direction.
The displacement-time graph will have a curve with a decreasing slope, forming a concave-upward shape, indicating that the object is slowing down but still moving in the negative direction.
In summary, the shapes of the displacement-time graphs differ based on the direction and type of acceleration (positive or negative) and whether the object is undergoing uniform acceleration or uniform deceleration. These differences can be observed through the concavity and slope of the graphs.
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4.
Which is the graph of the function y = −3(2)^x?
Answer:
The answer is letter B
Step-by-step explanation:
Exponential functions have a horizontal asymptote. The equation of the horizontal asymptote is y = 0 .
Horizontal Asymptote:
y = 0
what is the area of a square and a right triangle combined?
Answer:
you would have to separate the shapes and find out what the area of them both and add them together
Step-by-step explanation:
I need 23 questions answered
The surface area of a rectangular prism is 48 5/6 mi².
How to calculate the surface area of a rectangular prism?In Mathematics and Geometry, the surface area of a rectangular prism can be calculated and determined by using this mathematical equation or formula:
Surface area of a rectangular prism = 2(LH + LW + WH)
Where:
L represents the length of a rectangular prism.W represents the width of a rectangular prism.H represents the height of a rectangular prism.By substituting the given side lengths into the formula for the surface area of a rectangular prism, we have the following;
Surface area of rectangular prism = 2[6 × 2 1/3 + (1 1/4 × 6) + (1 1/4 × 2 1 /3)]
Surface area of rectangular prism = 2[14 + 15/2 + 35/12]
Surface area of rectangular prism = 48 5/6 mi².
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Write the relation as a set of ordered pairs.
On a coordinate plane, points are at (negative 3, 3), (0, 0), and (2, negative 2).
a. ordered pairs: {(–3, 3), (0, 0), (2, –2)}
b. ordered pairs: {(3, –3), (0, 0), (–2, 2)}
c. ordered pairs: {(3, –3), (0, 0), (2, -2)}
d. ordered pairs: {(–2, 2), (0, 0), (3, –3)}
Answer:
B
Step-by-step explanation:
just took the test !!
Answer: It's A
Step-by-step explanation:
Just took the test - edge 2022
The scale on a road map is 1 cm = 250 miles. If the distance between two cities on the map is 6.5 cm, what is the actual distance between the cities?
Answer:
1625
Step-by-step explanation:
multiply 6.5x250 since each cm is 250 and you have 6.5 cm
(1+1/1)(1+1/2)(1+1/3)......(1+1/n)=n+1
(2/1 )(3/2)(4/3)...(n-1/n-2)(n/n-1)(n+1/n) = n + 1
n + 1 = n + 1
1 = 1 ( Fact )
Thus it is not importent what the value of n is at all because the equation is always have the equal number ( which is 1 ) in both sides .
Can somebody please help me I'm trying to find out what 2 + 2 is
Answer:
2+2 = 4
Step-by-step explanation:
Let's visualize this using # signs
we have two groups of two # signs, so let's map that out
##
##
If you count the individual # signs, it is 4. You can also use this model to figure out 2 *2 (4)
I hope this helps :)
Answer:
4
Step-by-step explanation:
2+2
2+1+1
3+1
4
6 points Emily’s family needs to rent a moving truck to move their belongings to a different house. The rental cost for Trucks-A-Lot is $42 per day plus $0.72 per mile. The rental cost for Move-It-Truckers is $70 per day plus $0.12 per mile. Let m represent Emily’s mileage. Write an equation to represent the cost of renting each truck, and determine what will be the number if miles for which the truck cost the same amount.
Find the length of the hypotenuse of the right triangle.
Answer:
The length of the hypotenuse is 100.
Step-by-step explanation:
To find the length of the hypotenuse, we use the following formula:
c=\(\sqrt{a^2+b^2}\)
c=\(\sqrt{28^2+96^2}\)
c=\(\sqrt{10,000}\)
c=100
Therefore, the length of the hypotenuse is 100.
What is C/a + 4 when a=2, and c= 10
Answer:
4 and 10/2 so actually 9
Step-by-step explanation:
Answer:
The answer is 9.
Step-by-step explanation:
You just need to substitute the variables, so:
10/2+4
= 9
I hope this helps!