Answer:
Angle 2 measures 58°
Step-by-step explanation:
Sum of all three angles formed = 180
Because the sum of angles on a straight line is always 180
Angle 1 =3x-4
Angle 2 = 4x+10
Angle 3= 90° (given)
So,
90+3x-4+4x+10=180
(4x+3x)+(90+10-4)= 180
7x+96=180
Bring 96 to the other side, making it negative,
7x = 180-96 = 84
x = 12
Therefore angle 2
= 4x+10
= (4)(12)+10
=48+10
=58°
Find the 96th term of the arithmetic sequence -3, -14, -25, ...
Answer: shi foo the answer is George Washington
Step-by-step explanation:
because it is
On the blueprints of Adam's office building, the length of his rectangular office space is 5 1/4 inches. If the actual length of Adam's office space is 10 1/2 feet, what is the scale of the blueprint?
inch = 1 foot
inch = 1 foot
2 inches = 1 foot
4 inches = 1 foot
i will give brainliest if right
Answer: 1/2 inch = 1 foot
Step-by-step explanation: i got it right
Answer:
1/2 inch = 1 foot
Step-by-step explanation:
This is most likely the correct answer.
First one to do gets 100 points your better hurry
Answer:
do what exactly?
Step-by-step explanation:
On average, Shawnte drinks of a 6-ounce glass of water in
hour. How much water does she drink in an hour?
Answer:
3/4 of a 6-ounce glass will be drunk by her in one hour.
Step-by-step explanation:
Given time = 2/3 of hour
= 2/3 (60) As hour = 60 mins
= 120/3
= 40 mins
Given quantity of water = 1/2 of 6-ounce
= 3 ounce
So,
In 40 mins, water intake is 3 ounce
In 1 min, water intake is 3/40
In 60 mins, water in take is (3/40)*60 = 4.5 ounce
Quantity of water intake in 60 mins:
4.5 ounce or 3/4 of 6-ounce glass
I hope it will help you.
Help me asap am i right?
Answer:
MY ANSWER IS B.Step-by-step explanation:
HOPE IT HELPS
Answer:
I think you are right!
:) hope this helps
what is {1x+89x(8+29x)}{2x+89x(x+9)}
Answer:
229709x^4+2136000x^3+572539x^2
Step-by-step explanation:
There are 42 runners in a race. How many different ways can the runners finish first, second, and third?
Answer:
There are 68,640 different ways the runners can finish first, second, and third in the race.
Concept of Permutations
The number of different ways the runners can finish first, second, and third in a race can be calculated using the concept of permutations.
Brief Overview
Since there are 42 runners competing for the top three positions, we have 42 choices for the first-place finisher. Once the first-place finisher is determined, there are 41 remaining runners to choose from for the second-place finisher. Similarly, once the first two positions are determined, there are 40 runners left to choose from for the third-place finisher.
Calculations
To calculate the total number of different ways, we multiply the number of choices for each position:
42 choices for the first-place finisher × 41 choices for the second-place finisher × 40 choices for the third-place finisher = 68,640 different ways.
Concluding Sentence
Therefore, there are 68,640 different ways the runners can finish first, second, and third in the race.
8x2 + 3x – 4 + 3x3
3
The leading coefficient of the polynomial is
Ralph wants to build a rectangular deck with a predefined area of 66 feet squared. One side of the deck will be 5 feet longer than the other. To find the side lengths, he first writes the equation (x)(x+5)=66 and later simplifies (x-6)(x+11)=0 it to , where x is the length of the shorter side. Which of these are the side lengths, in feet, of the rectangular deck? Select all that apply
Answer:
The shorter side is 6 ft and the longer side is 11 ftStep-by-step explanation:
The options are not given, but we could solve and arrive at an answer
say the shorter side is x
and the longer side is x+5
we know that the area of a rectangle is given as
x*(x+5)=66
open the bracket
x^2+5x=66
x^2+5x-66=0
Find two factors of -66 whose sum equals the coefficient of the middle term, which is 5 .
the factors are 11 and -6
splitting the middle term using the two factors 11 and -6
x2 +11x - 6x - 66=0
x(x+11)-6(x+11)=0
(x-6)=0
x=6
(x+11)=0
x=-11
The shorter side is 6 ft and the longer side is 11 ft
Two scout patrols start hiking in opposite directions. Each patrol hikes 5 kilometers. Then the scouts turn 90 degrees to their right and hike another 6 kilometers. How many kilometers are there between the two scout patrols?
The distance between the two scout patrols is approximately 11.66 kilometers.
We can see that the situation forms a right triangle with the hypotenuse representing the distance between the two scout patrols. Let's call this distance d.
Each patrol initially hikes 5 kilometers in opposite directions. This means that the distance between them at this point is 10 kilometers (5 km + 5 km).
Then, each patrol turns 90 degrees to their right and hikes 6 kilometers. This means that they travel along the legs of the right triangle, which have a length of 6 kilometers.
Using the Pythagorean theorem, we can solve for the hypotenuse:
d² = 10² + 6²
d² = 136
d ≈ 11.66 km
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an important first step in assessing the relationship of two interval level variables is to: a. calculate a correlation coefficient. b. look at a scatter plot. c. do a test of significance. d. calculate the variance of the independent variable.
Option a. calculate a correlation coefficient is the right response because a correlation coefficient measures the strength and direction of the relationship between two interval level variables.
This is because a correlation coefficient measures the strength and direction of the relationship between two interval level variables. It provides a numerical value that ranges from -1 to 1, where -1 indicates a strong negative correlation, 0 indicates no correlation, and 1 indicates a strong positive correlation.
A scatter plot is also useful in visualizing the relationship between two variables, but it does not provide a numerical value like the correlation coefficient. A test of significance and variance calculation are not typically used as first steps in assessing the relationship between two variables.
Hence, option a. calculate a correlation coefficient is the correct answer.
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How do you solve displacement problems?
Displacement is calculated as the shortest distance between starting and final point which prefers a straight-line path over curved paths.
Displacement is the distance between two different positions of an object in m motion. So, it depends on the initial position and its final position. Also, displacement is the minimum distance between the starting and final positions.
Suppose a body is moving in two different directions x and y then the Resultant Displacement will be S=√x²+y²
Example 1: The path distance from the garden to a school is 5 m west and then 4 m south. A builder wants to build a short-distance path for it. Find the displacement length of the shortest path.
Solution: Distance to the west x = 5 m
Distance to the south y = 4 m.
Displacement is given by S=√x²+y²
s = 6.403 m.
The builder can build a path for a displacement length of 6.7 m.
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The formula to solve the displacement is written as Δx = xf − xi
The term displacement is defined as the change in the position of any point or object. It has a direction and magnitude, so it is a vector quantity and it is shown with an arrow that points from the starting position to the final position.
In order to find the displacement by determining the object’s initial and final position.
Therefore, the displacement formula is written as,
=> Δx = xf − xi
Here xf refers the final position,
And the variable xi is the initial position, and
Then the term Δx is the change in the position of the object.
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Geometry Substitution
I’m confused on how to substitute can someone give me a step by step explanation! Please
Answer:
x = 3
Step-by-step explanation:
I have attached a picture of me explaining you step by step.
Hope this helps, thank you !!
find the indefinite integral. (use c for the constant of integration.) ∫ sin 4x sin 3x dx
To get the indefinite integral of ∫sin(4x)sin(3x) dx, we can use the product-to-sum identity for sine functions, which is given by: sin(A)sin(B) = (1/2)[cos(A-B) - cos(A+B)]
In our case, A = 4x and B = 3x. Applying the identity, we have:
∫sin(4x)sin(3x) dx = ∫(1/2)[cos(4x-3x) - cos(4x+3x)] dx
Simplify the expression: ∫(1/2)[cos(x) - cos(7x)] dx
Now, integrate each term separately: (1/2)∫cos(x) dx - (1/2)∫cos(7x) dx
The indefinite integral of cos(ax) is (1/a)sin(ax) + C, where a is a constant and C is the constant of integration. Thus, we have: (1/2)[(1/1)sin(x) - (1/7)sin(7x)] + C
Finally, simplify the expression: (1/2)sin(x) - (1/14)sin(7x) + C
So, the indefinite integral of ∫sin(4x)sin(3x) dx is (1/2)sin(x) - (1/14)sin(7x) + C.
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Justin is designing a new board game, and is trying to figure out all the possible outcomes. How many different possible outcomes are there if he spins a spinner with 5 equal-sized sections labeled Monday, Tuesday, Wednesday, Thursday, Friday and rolls a fair die in the shape of a cube that has six sides labeled 1 to 6?
What is the measure of the central angle that defines the shaded area below if the shaded area takes up 70% of the circle?
Mike eats 1/4 of a cheesecake and later eats 2/5 of the cheesecake. What fraction remains?
Answer:
i think it's like this
1/2-2/5
5-4/10
1/10
a) 2-x,when x=5
b) 3x+2x,when x=4
c) (3n+2)(n-4)
________ ,when n=5
2n
PLEASE HELP MEEE
Answer:
a) 2-5 = -3
b) 3(4) + 2(4) = 20
c) (3(5)+2)(5-4) = 17
Step-by-step explanation:
Substitute the variables for their values and then solve from there. Hopefully this helps, I don't know if I answered your question fully.
Answer:
8w+24x-16
Step-by-step explanation:
Evaluate the expression for x = 10 . 3x + 4(x - 8) - 14
Answer:
\({ \tt{3x + 4(x - 8) - 14}} \\ = { \tt{3x + 4x - 32 - 14}} \\ = { \tt{7x + 46}}\)
Pleas answer these questions..
Refer to the image attached.
A right circular cylinder has a radius of 10 inches and a height of 20 inches. Find the volume of the circular cylinder.
Answer: The volume of a right circular cylinder can be found using the formula V = πr^2h, where r is the radius of the base and h is the height of the cylinder.
In this case, the radius of the base is 10 inches and the height of the cylinder is 20 inches. Substituting these values into the formula, we get:
V = π(10 inches)^2(20 inches)
V = π(100 square inches)(20 inches)
V = 2000π cubic inches.
So the volume of the cylinder is 2000π cubic inches.
Step-by-step explanation:
what is the HCF of 210 and 308
answer for this and example
Answer:
e would equal a half because it's in the middle
How do you find the hypotenuse of a 45-45-90 triangle if you know the length of the legs?
The length of the hypotenuse of a 45-45-90 triangle is √2x units.
To find the hypotenuse of a 45-45-90 triangle, we can use the Pythagorean theorem, which states that in a right triangle, the sum of the squares of the two shorter sides (legs) is equal to the square of the longest side (hypotenuse).
Let's denote the length of each leg of the triangle as "x". Since the triangle is isosceles, both legs are of equal length. Therefore, we can write:
Leg 1 = Leg 2 = x
To find the length of the hypotenuse (which we'll call "h"), we can use the Pythagorean theorem as follows:
x² + x² = h²
Simplifying this equation, we get:
2x² = h²
To solve for h, we need to take the square root of both sides of the equation:
√(2x²) = √(h²)
√2 * x = h
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FILL IN THE BLANK. "a _____ is a three-dimensional figure that encloses a region of space."
A solid is a three-dimensional figure that encloses a region of space.
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FILL IN THE BLANK. "a __solid___ is a three-dimensional figure that encloses a region of space."
A solid is a three-dimensional figure that encloses a region of space. It can be defined as a geometric shape that has length, width, and height and is made up of atoms, molecules, or ions.
Therefore, a solid can be classified as a polyhedron or a curved surface figure. Examples of solids include cubes, pyramids, spheres, cylinders, and cones.
A polyhedron is a three-dimensional figure that encloses a region of space.
A polyhedron is a solid shape formed by flat polygonal faces, straight edges, and vertices. These faces enclose a three-dimensional region of space, giving the polyhedron its distinct shape.
In summary, the term you are looking for is "polyhedron," which describes a 3D figure composed of flat polygonal faces enclosing a region of space.
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there is a number that if you multiple it by 5 first, and then add 6 to the result, you get 91. what’s the number?
Answer:
Step-by-step explanation:
Do 91-6 which equals 85. Then do 85/5 which equals 17
answer: 17
Answer:
17
Step-by-step explanation:
So first we write an equation
5x+6=91
subtract 6 from both sides
5x=85
divide by 5
so x=17
(plz give me brainliest)
What is the first step needed to solve 3/4 times -3 equals -18
Answer:
Make -3 a fraction
Step-by-step explanation:
3/4 x -3
3/4 x -3/1
3/4 x -12/4
-72/4 = 18
2+2×2=?
.............. pls help..............
\(2 + 2 \times 2 = 8\)
Hope it help youIn this graph, the y-intercept of the line is The equation of the line is y =
Find the surface area of a cylinder with a base radius of 5 ft and a height of 6 ft.