Answer:
y = 3
x = -1
Step-by-step explanation:
The idea to start the problem is that we need to cancel x in one equation to find y first, therefore:
y = -x + 2 (let's multiply this entire equation by -4)
y = -4x - 1
We then have .:
- 4y = 4x - 8
y = -4x - 1 (now we sum both equations)
.:
- 3y = -9 (isolate y)
y = -9 / -3
y = 3 (good we have y!)
Now come back to one of the equations, substitute y to find your x!
Substituting on the first equation we have:
3 = -x +2 (isolate x)
3 - 2 = -x
1 = -x (multiply everything by -1)
x = -1
I hope it helps :)
2 Points
What is sin 60°
Answer:
As in Decimal: 0.86602540378
Angle Tan=Sin/Cos
30° 1 √3 = √3 3
45° 1
60° √3
Step-by-step explanation:
Answer: 0.8660
Step-by-step explanation:
In a right angle triangle
According to the diagram below
Sin60= opposite/hypothenus
Sin60= 1/square root of 2
Sin60= 0.8660
Cassie is designing a wheelchair ramp for a school. her original design had a height of 3 feet and a base of 24 feet. Her new design must have a height of 3 feet and height-to-base ratio of 1:12.
How long will the base ramp be in the new design?
A 6 feet
B 12 feet
C 30 feet
D 36 feet
Answer:
D. 36 feet
Step-by-step explanation:
if Cassie's new ratio is 1:12 height-to-base, and her height is 3, plug that information into the ratio.
1:12 = 3:b
to go from 1 to 3, you multiply 1 by 3, so you will need to multiply 12 by 3 to get the new base.
3x12 = 36
D. 36 feet
Anyone know how to do this?! Help!
Given:
Vertical angles.
One angle is 85°.
To find:
The measure of ∠1, ∠2 and ∠3.
Solution:
∠2 and 85° are vertically opposite angles and ∠1 and ∠3 are vertically opposite angles.
Vertical angle theorem:
If two lines are intersecting, then the vertically opposite angles are congruent.
⇒ m∠2 = 85°
Sum of the adjacent angles in a straight line = 180°
m∠2 + m∠3 = 180°
85° + m∠3 = 180°
Subtract 85° from both sides.
85° + m∠3 - 85° = 180° - 85°
m∠3 = 95°
By vertical angle theorem:
⇒ m∠1 = m∠3
⇒ m∠1 = 95°
Therefore m∠1 = 95°, m∠2 = 85° and m∠3 = 95°.
What function is represented by the mapping diagram shown?
O A. F(x)= x+3
O B. F(x)= x-3
O C. F(x) = 3x
O D. F(x) = 1
The mapping diagram displays how inputs are transformed into outputs; this relationship must match the transformation properties of the given functions to determine the correct answer.
Explanation:To understand which function is represented by the mapping diagram, one needs to look at how the inputs (or arguments) are being transformed into outputs (or values). A mapping diagram shows a set of ordered pairs, illustrating how each input is associated with a specific output. Considering the functions given: F(x) = x+3, F(x) = x-3, F(x) = 3x, and F(x) = 1, it is important to note the nature of transformations that each of these functions imply.
For the F(x) = x+3 function, every input value x is increased by 3, which is a shift to the right on the graph. On the other hand, F(x) = x-3 would decrease every input x by 3, showing a leftward shift. If we consider F(x) = 3x, this would imply each input x is being scaled by a factor of 3. Lastly, F(x) = 1 represents a constant function that maps every input to the same output, which is 1.
To determine the correct function from the mapping diagram, one would compare these transformations to the mapping shown and select the function that accurately describes the relationship between the inputs and outputs in the diagram.
Alona has some wood cutouts of two different shapes - square and triangle. Each square cutout is 6 mm thick and each triangular cutout is 8 mm thick. Both cutouts have the same area of cross-section. Alona makes an upright stack using 24 square cutouts. She is making an oblique stack using the triangular cutouts. How many triangular cutouts should she put in the oblique stack so that both stacks have the same volume?
Answer:
18
Step-by-step explanation:
Volume is a product of cross-sectional area and height and relresented as V=Ah where V is volume, A is cross-sectional area and h is height.
For the square, since each has a thickness of 6mm then for 24 of them the height will be 24*6=144 mm
Since the volume and cross sectional area of the triangle should be the same, then the height should also be the same.
Since for the triangle each has a thickness of 8mm then the number requred to achieve a height of 144 mm will be 144/8=18 stacks
To find the number of triangular cutouts needed for the oblique stack to have the same volume as the upright stack, we need to compare the volumes of the two shapes. The volume of a square cutout is 6mm × (the area of the square cross-section), while the volume of a triangular cutout is 8mm × (the area of the triangular cross-section).
Explanation:To find the number of triangular cutouts needed for the oblique stack to have the same volume as the upright stack, we need to compare the volumes of the two shapes. The volume of a square cutout is 6mm × (the area of the square cross-section), while the volume of a triangular cutout is 8mm × (the area of the triangular cross-section).
Since both stacks have the same area of cross-section, we can set up the equation 6mm × (area of a square) × 24 = 8mm × (area of a triangle) × (number of triangular cutouts). By finding the ratio of the volumes and solving for the number of triangular cutouts, we can determine the number needed.
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One way to notate the complement of an event A is not A. For instance, suppose that P(even) represents the probability of rolling an even number on a number cube. Then, P(not even) represents the probability of rolling a number that is not even on a number cube.
Consider the events from Activity 1.1, Questions 5 and 6—“rolling an even number” and “rolling a number that is not even.” What do you notice about the sum of the probabilities of these two complementary events?
Sum is always 1
Step-by-step explanation:
Step 1: Find the sum of probability of complementary events.The sum of probability of an event and its complementary event is always 1.
Here, the event is rolling an even number. Let it be P(even)
Its complementary event is rolling a number that is not even. Let it be P(not even)
P(even) = 1/6
P(not even) = 5/6
P(even) + P(not even) = 1/6 + 5/6 = 1
What is the arc measure of DBC in
degrees?
In this context:
[tex]\boxed{\angle DBC=x=60^{\circ}}[/tex]
Explanation:Hello! Remember to write complete questions in order to get good and exact answers. Here the figure is missing so I'll assume the arc measure of DBC is given in radian and you want it in degrees. By definition, an arc's measure is the measure of its central angle being a central angle an angle between two radii in a circle. Suppose that angle measures:
[tex]\angle DBC=\frac{\pi}{3}\ radian \\ \\ \\ So, \ by \ rule \ of \ three: \\\\ \\ \pi \ radian \rightarrow 180 \ degrees \\ \\ \pi/3 \ radian \rightarrow x \ degrees \\ \\ \\ x =\frac{180\pi}{3\pi}=60^{\circ} \\ \\ \\ Finally: \\ \\ \boxed{\angle DBC=x=60^{\circ}}[/tex]
18. Octavio got a job at Subway. He makes $14 per hour. On Saturday he worked 8 hours, on Monday he worked 6
hours and on Thursday he worked 5 hours. He borrowed $95 dollars from Antonio to buy tickets to a concert. How
much money did he have left from his paycheck (before taxes) after paying back Antonio?
steps ?
Answer:$171
Step-by-step explanation:
8*14= 112
6*14=+84
5*14=+70
=266
-95
= 171
can someone give me the answer for this and maybe explain it?
Answer:
5x=85
9x=153
Step-by-step explanation:
540-139-71-92-9x-5x=0
238-14x=0
238=14x
17=x
5x=85
9x=153
I need help with this problem plz!!!!
Answer:4 9 2
Step-by-step explanation:
those are the answers
Answer: a) 40 inches
b)9600 in^2
( the 2 goes on top of “in”)
Step-by-step explanation: s= 40 inches
substitute the side length into the formula for the surface area of a cube.
Find the area of the polygon, read the info, plz ANWSER will mark brainest!!
(Also plz explain what u did)
jamal has 2 straight sticks with the length of 20cm and 18cm. Jamal searches for a third stick so that he can form a triangle. Which length of stick will allow jamal to make a triangle.
Solution:
Given that,
Jamal has 2 straight sticks with the length of 20 cm and 18 cm
Jamal searches for a third stick so that he can form a triangle
According to triangle inequality theorem,
Triangle inequality theorem states that sum of length of two sides of triangle should always be greater than measure of third side
Let the length of unknown side be "x"
Case 1:
Let 20 cm be the length of third side
Then,
x + 18 > 20
x > 20 - 18
x > 2
Case 2:
Let "x" cm be the length of third side
18 + 20 > x
38 > x
x < 38
This means that length of third side of triangle should be greater than 2 and less than 38
Final answer:
Jamal can use any third stick with a length greater than 2 cm and less than 38 cm to form a triangle with his existing sticks of 20 cm and 18 cm, according to the triangle inequality theorem.
Explanation:
To determine the length of a third stick that Jamal can use to form a triangle with the other two sticks, one must apply the triangle inequality theorem. The triangle inequality theorem states that the sum of the lengths of any two sides of a triangle must be greater than the length of the third side. In Jamal's case, the sticks have lengths of 20 cm and 18 cm. Therefore, the length of the third stick must be more than the difference of the two sticks and less than their sum to form a triangle.
So the third stick must be longer than 2 cm (20 cm - 18 cm) and shorter than 38 cm (20 cm + 18 cm). To summarize:
The third stick must be > 2 cm.The third stick must be < 38 cm.So any stick length between > 2 cm and < 38 cm will allow Jamal to create a triangle with the other two sticks.
What is 14/24 ad a percent
Answer:
58.33%
Step-by-step explanation:
To turn a fraction into a percent all you need to do is multiply the numerator by the denominator
How to solve 17 = x/2 + 1
Answer:
x = 32
Step-by-step explanation:
17 = x/2 + 1
17 - 1 = x/2
16 = x/2
16 / 1/2 = x
16 * 2/1 = x
32 = x
Answer:
x = 32
Step-by-step explanation:
to solve for this expression 17 = x/2 + 1 , we need to collect the like terms and then evaluate for the value of x.
solution
17 = x/2 + 1
17 - 1 = x/2
16 = x/2
using cross multiplication method
x = 16 x 2
x = 32
» Leila has 36 photos of her friends. She puts 6 photos on each page
in her scrapbook. How many pages does Leila use?
Answer:
She uses 6 pages because 36/6=6
Step-by-step explanation:
Answer:
Leila uses up 6 pages.
Step-by-step explanation:
What you are supposed to do is division.
36 ÷ 6 = 6
6 on the first page.
6 on the second page.
6 on the third page.
6 on the fourth page.
6 on the fifth page.
6 on the seventh page.
If you add the six 6's you get 36.
6+6+6+6+6+6=36
Find the value of X.
Answer:
3.96ft
Step-by-step explanation:3.3/5 is .66 so that is the scale factor and multiply 6 by .66 gets you 3.96 hope this helps god bless
Which system of inequalities has no solution?
A. y < 2x − 4
y > 2x + 1
B. 2x + y ≥ 3
y ≥ −2x − 3
C. 4x + 4y < 16
x > y + 16
D. y < −6x −24
y < 6x + 6
Part B
Select all the possible ways that you could change the system so it has a solution.
A. Change the direction of the inequalities.
B. Decrease the coefficient of x in the first equation.
C. Increase the coefficient of x in the first equation.
D. Increase the coefficient of x in the second equation.
E. Decrease the coefficient of x in the second equation.
Answer:
Part 1: A
Part 2: BCDE
Step-by-step explanation:
For part 2, I'm assuming that the change of direction is for both of the inequalities.
If you want calculator for graphing, use desmos graphing calculator.
what is the slope of the ordered pair (19, -2) (-11, 10)
Answer:
-0.4
Step-by-step explanation:
first you subtract both x values (19 - (-11)) or (19+11)
then subtract both y values (-2 - 10)
which would give you -12 over 30
-12/30 is -0.4
Parallel Lines never intersect
because...
Step-by-step explanation:
Well, they don't intersect because that's how they're defined. If they were to intersect then they wouldn't be considered parallel lines.
Parallel lines never intersect because they are always equidistant from each other, meaning they maintain the same distance apart at every point along their length.
What are parallel lines?If the two original lines are parallel, then these two angles must be equal, since they are corresponding angles. However, if we extend the third line far enough, the angles will eventually add up to more than 180 degrees, which is impossible in a Euclidean plane. Therefore, the third line cannot intersect the two parallel lines, and they will never meet.
Consider two lines in a two-dimensional plane. If they are parallel, they will never cross each other no matter how far they extend. Imagine drawing a third line that intersects both of them at some point. This will create two angles where the two lines meet the third line, forming a triangle.
This property of parallel lines has many practical applications in fields such as engineering, architecture, and mathematics, where parallel lines are used to create accurate drawings and models of structures and systems.
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Choose the problem with the same relationship that is modeled by the graph
Answer:
<M
Step-by-step explanation:
Circle O is inscribed in the given triangle. What is the perimeter of the triangle?
Answer:
44 units
Step-by-step explanation:
just answered on edg 2020
When a circle is inscribed in a triangle, its radius is equal to the distances between the points of tangency on each side and the center of the circle.
Explanation:When a circle is inscribed in a triangle, it is tangent to all three sides of the triangle.
The perimeter of the triangle can be found by adding the lengths of the three sides.
Since the circle is inscribed in the triangle, the lengths of the sides of the triangle are equal to the distances between the points of tangency on each side and the center of the circle.
Therefore, the perimeter of the triangle is equal to the sum of these distances.
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2. Husein used a ladder to climb up a tree. The
ladder which has its foot 2 m from the
bottom of the tree touches the tree at a
height of 7 m. How long is the ladder?
what is the volume of a right circular with a radius of 6 m and a height of 9 m
Answer:
324 pi m^3
Step-by-step explanation:
The volume of a cylinder is given by
V = pi r^2h where r is the radius and h is the height
V = pi (6)^2 9
V = pi (36)9
V =324 pi m^3
Jodie ran at an average spared of 6 km/h for 10 minutes. How far did she run in km
Answer: 1km
Step-by-step explanation:
Since she runs 6km per hour you have to divide your varibles
Answer:
60km
Step-by-step explanation:
D=SxT
D=6x10=60
Select the correct answer. Which rule can you use to find the nth term of an arithmetic sequence in which the common difference is 5 and a12 = 63?
A. `a_(n)=3+5n`
B. `a_(n)=3-5n`
C. `a_(n)=13+5n`
D. `a_(n)=13-5n`
Does this graph represent constant or changing speed? How do you know?
Find the average speed (1pt).
Answer:
yes because the no's.are different and they are moving high in the graph
The graph represents changing speed, and the average speed is 0.5 meters per second.
To determine whether the graph represents constant or changing speed, we examine the relationship between distance and time.
If the speed remains consistent over time, the graph represents constant speed.
Conversely, if the speed varies, the graph represents changing speed.
Upon examining the data provided, we observe that the distance traveled increases as time progresses, indicating changing speed.
This inference arises because the increments in distance over successive time intervals are not consistent, suggesting acceleration or deceleration.
To find the average speed, we divide the total distance traveled by the total time taken. In this case, the total distance covered is 100 meters (from 10 to 100 meters), and the total time elapsed is 200 seconds (from 20 to 200 seconds).
Therefore, the average speed is:
[tex]\[ \text{Average speed} = \frac{\text{Total distance}}{\text{Total time}} = \frac{100 \, \text{m}}{200 \, \text{s}} = 0.5 \, \text{m/s} \][/tex]
Hence, the graph represents changing speed, and the average speed is 0.5 meters per second.
The probable question may be:
Does this graph represent constant or changing speed? How do you know?
Find the average speed (1pt).
Distance (m) Time (sec)
10 20
20 40
35 70
65 130
85 170
100 200
WILL MARK BRAINLIEST
what does it mean for a point to be a solution to a linear equation?
For example, if I say, (2,5) is a solution to the equation y= 2x+3, how could you check my claim?
y=mx+b
it is pretty simple, the m stays the same and is the x, so (2,_) and then the b is the slope so you add the b and m together to get 5 (2,5)
Factor the quadratic expression 4x^2-8x+3
Answer: (2x-1) (2x-3)
Step-by-step explanation:
A little help here?
Whats the value of X?
Answer:
36
Step-by-step explanation:
That kind of triangle is supposed to equal up to 180. So 65 + 79 = 144. So 180 - 144 = 36. Sorry if this is the wrong answer. This is what i think it is. Again, sorry in advanced!
The given data set shows the weight, in pounds, of nine dogs at an animal hospital.
{35, 22, 30, 110, 20, 25, 30, 32, 32}
Which data value is considered an outlier?
Enter the answer in the box.
Answer:
110
Step-by-step explanation:
You can see that the other terms are between 20 and 40, but 110 is a whole 75 off of the next greatest number. That makes it an outlier
Answer:
110
Step-by-step explanation:
All other value are between 20 and 35, 110 is way apart