Answer:
-14 >x
Step-by-step explanation:
x-2>2x+12
Subtract x from each side
x-2-x > 2x+12-x
-2 > x+12
Subtract 12 from each side
-2-12 > x
-14 >x
The slope of AB is -2/5. Segment CD has endpoints at C(-5,3) and D(10,-3). Are AB and CD parallel, perpendicular or neither? Justify.
Answer:
Neither
Step-by-step explanation:
When I input segment CD onto a graph, I get -0.4 as the slope or 15/-6. If the lines were parallel, they would need to have the same slope which they do not have. If they were perpendicular, they would need to have different slopes so, -2/5 and 5/2 which they do not. That leaves us with the only option of neither.
Plz sub to Rebel_IOSツ on yt!
Answer:
AB and CD are parallel
Step-by-step explanation:
AB has the slope of -2/5let's see what slope the line CD has:
points are (-5, 3) and (10, -3)slope= m= (y2-y1)/(x2-x1)= (-3-3)/(10+5)= -6/15= -2/5as we see AB and CD have same slope, therefore they are parallel
Suppose a projectile is fired from a cannon with velocity v0 and angle of elevation θ. The horizontal distance Rθ it travels (in feet) is given by the following.
=Rθv02sin2θ32
If =v080 /fts, what angle θ (in radians) should be used to hit a target on the ground 95 feet in front of the cannon?
Do not round any intermediate computations, and round your answer(s) to the nearest hundredth of a radian. (If there is more than one answer, enter additional answers with the "or" button.)
Answer:
0.25 rad to the nearest hundredth radian
Step-by-step explanation:
Here is the complete question
Suppose a projectile is fired from a cannon with velocity vo and angle of elevation (theta). The horizontal distance R(θ) it travels (in feet) is given by the following.
R(θ) = v₀²sin2θ/32
If vo=80ft/s what angel (theta) (in radians) should be used to hit a target on the ground 95 feet in front of the cannon?
Do not round any intermediate computations, and round your answer(s) to the nearest hundredth of a radian.
(θ)= ?rad
Solution
R(θ) = v₀²sin2θ/32
If v₀ = 80 ft/s and R(θ) = 95 ft
θ = [sin⁻¹(32R(θ)/v₀²)]/2
= [sin⁻¹(32 × 95/80²)]/2
= [sin⁻¹(3040/6400)]/2
= [sin⁻¹(0.475)]/2
= 28.36°/2
= 14.18°
Converting 14.18° to radians, we have 14.18° × π/180° = 0.2475 rad
= 0.25 rad to the nearest hundredth radian
Answer:
Theta= 0.32 rad
or Theta= 1.25 rad
Step-by-step explanation:
On the Aleks explanation
whats 700 divided by 178
Answer:
3.93258426966
Step-by-step explanation:
To 1 d.p = 3.9
Answer:
≈3.9 (3.932584269662921...)
OR
3 R 166
OR
[tex]3\frac{83}{350}[/tex]
Step-by-step explanation:
700÷178=3.932584269662921
700÷178=3 R 166
700÷178=
[tex]3 \frac{166}{700} =\\\\3\frac{83}{350}[/tex]
If you wanted it in decimal form, the decimal would be infinite.
If you wanted it with a remainder, it's 3 R 166
If you wanted it in fractions, it's [tex]3 \frac{83}{350}[/tex]
HELP QUICKLY Christina and Youssef work in office buildings that are 80 feet away from each other. From the top of her office building, Christina notices that the angle of elevation to the top of Youssef’s building is 45°. The angle of depression from Christina to the base of Youssef’s building is 56°. Find the height of Youssef’s office building, rounded to the nearest tenth of a foot.
Answer:
About 198.6 feet
Step-by-step explanation:
This situation essentially forms a sideways triangle with height 80 feet. It can be divided into two right triangles, which you can each find the base length for, and then add them together to find the total height of the building.
Let's start with the lower base (with the angle measure of 56 degrees), which we'll call b. The tangent of an angle in a right triangle is the length of the opposite side divided by the length of the adjacent side, meaning that:
[tex]\tan 56=\dfrac{b}{80} \\\\b=80 \cdot \tan 56\approx 118.6[/tex]
Now, let's do it for the upper part, which we'll call y:
[tex]\tan 45=\dfrac{y}{80} \\\\y=\tan 45 \cdot 80=1 \cdot 80 =80[/tex]
Adding these together, you get a height of approximately 198.6 feet. Hope this helps!
Answer:
answer is 198.6
Step-by-step explanation:
4(x + 2) = 2x + 10
explain each step plz
Answer:
[tex]x=1[/tex]
Step-by-step explanation:
[tex]4(x + 2) = 2x + 10[/tex]
Distribute 4(x+2).
[tex]4x+8 = 2x + 10[/tex]
Subtract 2x and 8 from both sides.
[tex]4x-2x=10-8[/tex]
[tex]2x=2[/tex]
Divide both sides of the equation by 2.
[tex]\frac{2x}{2} =\frac{2}{2}[/tex]
[tex]x=1[/tex]
Answer:
x = 1
Step-by-step explanation:
4(x + 2) = 2x + 10
You start by expanding 4(x +2)
i.e. 4x + 8 = 2x + 10
Then, subtract 2x from both sides of the equation
4x + 8 - 2x = 2x + 10 - 2x
4x - 2x + 8 = 2x - 2x + 10
2x + 8 = 10
Subtract 8 from both sides of the equation
i.e. 2x +8 - 8 = 10 - 8
2x = 2
Divide both sides of the equation by the coefficient of x above(which is 2)
[tex]\frac{2x}{2} = \frac{2}{2}[/tex]
x = 1
Hope this helps :))
If the points A(x,2), B(-3, -4) and C(7, -5) are collinear, then find the value of x
Answer:
x = -63
Step-by-step explanation:
If the points A(x,2), B(-3, -4), and C(7, -5) are collinear, the line that passes B and C, also passes A.
The line passes B and C has the form of y = ax + b
=> -4 = a(-3) + b
-5 = a(7) + b
=> Subtraction 1st equation from 2nd equation, we have:
-1 = 10a
=> a = -1/10
=> b = -4 + 3(-1/0) = -43/10
=> This line has form of y = (-1/10)x -43/10
This line passes A(x, 2)
=> 2 = (-1/10)x - 43/10
=> 2 + 43/10 = (-1/10)x
=> 63/10 = (-1/10)x
=> x = -63
Hope this helps!
Find the sum of (1-1/n) + (1-2/n) + (1 - 3/n)....upto n terms
Answer:
(n - 1)/2
Step-by-step explanation:
F = (1 - 1/n) + (1 - 2/n) + (1 - 3/n) + ...(1 - n/n)
= (1 + 1 ... + 1) - (1/n + 2/n + 3/n + ...n/n)
(there are n terms of 1)
= n - (1 + 2 + 3 + ... + n)/n
= n - [n x (n + 1)/2]/n
= n - [n x (n + 1)]/[2 x n]
= n - (n+1)/2
= (2n - n - 1)/2
= (n - 1)/2
Hope this helps!
HELP. THIS IS ABOUT DILATION EXPLANATION NEEDED
Answer:
(16,14)
Step-by-step explanation:
Dilation is increasing/decreasing something by a factor. The shape remains the same; it's just bigger or smaller.
This shape is a square, so all lines are the same length. Find the distance between C and D (it can honestly be any adjacent points). The distance is 6. You can usually use the distance formula, but since C and D have the same y-coordinate, you can just do |x2-x1|. Since you're multiplying by 2, the new distance should be 12. Since the y-coordinate of A' is 14, the y-coordinate of B is also 14. The x-coordinate should be 12 units away from the new A' (which is (4,14)). B is (16, 14)
Answer:
To dilate from the origin, you would need to multiply each coordinate by 2. For example, for A(2*2,7*2). After you do that to each coordinate, plot the points on a graph(by hand or using Desmos). Then, since it is a square determine point B by counting a certain number of units away from another point. A square has four congruent sides.
Find the surface area of a sphere. Use 3.14 for pi and round to the nearest tenth.
R=6.25
Find the slope of the line that passes through (2, 16) and (10, 7).
Simplify your answer and write it as a proper fraction, improper fraction, or integer.
Answer:
-9/8
Hope this helps
The right answer is - 9/8
please see the attached picture for full solution
Hope it helps..
(-2,3), (0,1), (2,-4), (3,-1), (2,4) IS IT AN FUNCTION OR NOT
Answer: No
Explanation: A function is a relation in which each x-coordinate corresponds to exactly one y-coordinate.
In the relation shown here, notice that
the x-coordinate 2 appears twice.
In one case, 2 corresponds to -4 and in
the other case, 2 corresponds to -4.
Since the x-coordinate 2 corresponds to more than one
y-coordinate, no, this relation is not a function.
3.268 rounded to the whole number
Answer:
Brainliest goes to me!
Step-by-step explanation:
3
3.268
lets only look at 3.2 .......
3.2 is rounded down to 3
Answer:
3.268 rounds to 3
Step-by-step explanation:
Numbers less than 5 round downNumbers that are 5 or higher round upRounding to the whole number would be rounding to the One's Place2 is less than 5, so it rounds down to 3Please mark Brainliest
What is the inverse of g(x) =
X +8
Answer:
The inverse is x-8
Step-by-step explanation:
g(x) = x+8
y = x+8
To find the inverse, exchange x and y
x = y+8
Solve for y
Subtract 8 from each side
x-8 = y+8-8
x-8 = y
The inverse is x-8
what is the ratio of 2 hours and 115 minutes
Which image shows -1 7/8 on a number line? A. B. C. D.
Answer:
The number line is attached below.
Step-by-step explanation:
The number to be plotted on the number line is:
[tex]x=-1\frac{7}{8}[/tex]
The value of x lies between -2 and 0.
Draw a number line from -2 to 0 with intervals at every one-eight value.
Mark the point at [tex]x=-1\frac{7}{8}[/tex].
The number line is attached below.
Math question do not guess
A right rectangular prism has a length of 2 and 1/2 ft a width of 3ft and a height of 1 and 1/2. Unit cubes with side lenghts of 1/2 ft are added to completely fill the prism with no space remaining. What is the volume in cubic feet of the rectangular prism?
Description:
Formula: length * width * height (L*W*H)
volume of larger prism
vp=45/4 ft^3 =11.25
vs=1/2*1/2*1/2
vs=0.125 ft^3
n=vp/vs
n= 11.25/.125
n=90
Answer: 90 smaller cubes will completely fill in the prism
Please mark brainliest
Hope this helps.
A music teacher asked 23 students in the band how many hours they practiced playing their instrument each week. The results are shown in the dot plot. Which statement best describes the data?
The question is incomplete! Complete question along with answer and step by step explanation is provided below.
Question:
A music teacher asked 23 students in the band how many hours they practiced playing their instrument each week. The results are shown in the dot plot. Which statement best describes the data?
a. The data are skewed left, so most student's practice times are more than the mean practice time.
b. The data are skewed left, so most student's practice times are less than the mean practice time.
c. The data are skewed right, so most student's practice times are less than the mean practice time.
d. The data are skewed right, so most student's practice times are more than the mean practice time.
Answer:
The correct option is a.
The data are skewed left, so most student's practice times are more than the mean practice time.
Step-by-step explanation:
Refer to the attached box plot which shows number of hours the students spent on practice for playing their instrument each week.
When the data distribution is not symmetric around the mean then it is either skewed to right or skewed to left.
The given box plot is skewed to the left since the tail of the distribution on the left side is longer than the right side or in other words, most of the data is leaning to the right side of the curve.
Due to this, most student's practice times are more than the mean practice time.
A left skewed distribution is also known as negatively skewed distribution.
Therefore, we can conclude that the correct option is a.
a. The data are skewed left, so most student's practice times are more than the mean practice time.
In order to participate in the end of the year filed trip, the students at Francis Scott Key need
to fundraise $1200. They plan to have a fajita dinner. They have enough food to serve 240
people. They are charging adults $6 per plate, and students only have to pay $2 per plate.
How many adults and children need to buy a plate in order for them to exactly meet their
goal?
Answer: 60 kids, 180 adults
Step-by-step explanation:
Let x be the number of children and y be the number of adults eating.
If they have 240 people eating then x+y=240.
If they have to fundraise 1200 then 2x+6y=1200.
Solving the system of equations, we can multiply the first equation by 2 to get 2x+2y=480. Then subtract the two equations and get -4y=-720, so y=180. Substitute y=180 back in to get x=60.
Hope that helped,
-sirswagger21
WILL GIVE BRAINLIEST ANSWER. Angle BCD is a circumscribed angle of circle A. Circle A is shown. Line segments B A and D A are radii. Tangents B C and D C intersect at point C outside of the circle. A line is drawn to connect points A and C. The length of A B is 8 and the length of B C is 6. Angle C A D is 37 degrees. What is the length of line segment AC? 10 units 12 units 14 units 16 units
Answer:
Length of AC segment=10 units
Step-by-step explanation:
We are given that AB and DA are radius of circle.
BC and DC are tangents of circle which intersect at point C.
AB=8 units
BC=6 units
Angle CAD=37 degree
We know that radius is always perpendicular to the tangent.
Therefore, AB is perpendicular to BC.
Using Pythagoras theorem
[tex](Hypotenuse)^2=(Base)^2+(perpendicular\;side)^2[/tex]
[tex]AC^2=AB^2+BC^2[/tex]
[tex]AC^2=8^2+6^2=100[/tex]
[tex]AC=\sqrt{100}=10 units[/tex]
Answer:
a.) 10 units
Step-by-step explanation:
correct on edg.
PLEASE HELP WILL MARK BRAINLIEST
The figure below has a point marked with a large dot.
First, reflect the figure across the x-axis.
Then, give the coordinates of the marked point in the original figure and the final figure.
Answer:
Original figure: (-6,-5)
final figure: (-6, 5)
Step-by-step explanation:
the point would fall at (-6, 5) because it is reflecting across the x-axis (the horizontal one) and since it is the original point is 5 away from the x-axis, the final point would be at 5 as well. the y-coordinate doesn't change because it is only reflecting over the x-axis. the shape would essentially be flipped if you reflected it over the x-axis, so the point would be on the bottom of the figure instead of the top. Hope this helps I tried my best to explain!
NEED HELP SOON! What is the value of x? x + StartFraction 4 Over 9 EndFraction = three-fourths StartFraction 11 Over 36 EndFraction One-third 1 and StartFraction 11 Over 16 EndFraction 1 and StartFraction 7 Over 16 EndFraction
Answer:
x=11/36
Step-by-step explanation:
1. Move the 4/9 to the right side to isolate valu e"x."
2. Create a common denominator between "4/9" and "3/4"
3. Your equation should look like this;
x=3/4-4/9
x=27/36-16/36
x=11/36
Answer:
11/36
Step-by-step explanation:
all work is in the image below!
Can someone please answer my question: What is 72% of 54?
Answer:
38.88
Step-by-step explanation:
72% of 54
= [tex]\frac{72}{100}[/tex] × 54
= 0.72 × 54
= 38.88
Answer:
38.88
Step-by-step explanation:
so if you work it out like me then you break it down
100% = 54
10% = 5.4
1% = 0.54
you would take the 10% (5.4) and times it by 7 to get 70% (37.8) now you would take 1% (0.54) and times that by 2 and then add the 70% and the 1% times 2 together and you should get 38.88
please help thank youuu!
Answer: D. All interior angles and all sides are congruent.
Step-by-step explanation:
If it is a regular polygon, then all angles and sides have to be congruent.
The interior angles aren’t congruent to the exterior angles.
Not all angles have to be congruent, in regular or irregular.
Since this polygon has 25 sides, opposite pairs aren’t parallel because there are an odd number of sides. That means there are no opposite pairs.
Answer:
D
Step-by-step explanation:
I will give you brainliest !!! The graph of y=8x+7 is:
Answer:
C
Step-by-step explanation:
A line that shows all solutions
which number is one less than a cube number?
20
22
24
26
The number less than a cube is 26.
What is cube of a number?The cube of a number is obtained by multiplying the number three times.
Determine the cube of 3.
3·3·3=27
So, the cube of 3 is 27.
From the given options it can be observed that the number 26 is 1 less than 27.
Thus, the number one less than cube is 26.
To learn more about cube click:
https://brainly.com/question/28134860
#SPJ3
|6-27| how the answer this question
Answer:
First notice that they’re asking for the absolute value of the equation.
The absolute value is how far that number is from 0.
Basically it’s the number without a negative sign.
ok so 6-27 = -21
The product for 6-27 (21) is 21 spaces away from 0.
|6-27| = 21
21 is the answer to your question.
Hope this helped and pls mark me brainliest if it did :)
May drives a total of 44 miles each day to take her children to and from school. The children go to school 5 days a week. May's vehicle gets 17 miles per gallon of gas. About how many gallons of gas does May need to take her children to and from school each week?
Answer:
12.94 gallons/week
Step-by-step explanation:
44x5=220
220/17=12.94
Answer:
13 gallons
Step-by-step explanation:
44 miles x 5 days = 220 miles
220 miles / 17mpg = 12.9
12.9 rounded up is 13
Final Answer is 13 gallons
Can someone answer this question please please help me I really need it if it’s correct I will mark you brainliest .
Answer:
B. x + 0.2x
Step-by-step explanation:
0.2 is equal to 20%
x represents the amount of dollars, and 20% of x would be written as 0.2x.
The 20% of x would be added to the money before the 20%, so, the answer is b, x + 0.2x.
5x – 7y= 16 2 + 7y = 8.
what is x?
Answer:
x=45/6
Step-by-step explanation:
2+7y=8. 7y=8-2. 7y=6
7=7. y=6\7
insert the value of y in the second equation. 5x-7y=16
5x-7(6/7)=16
5x-49\6=16
collect the liketerms together
5x=16+49/6
5x=145/6(divide both sides by 5)
x=29/6
x=45/6
further.
confirm if the 2 in the second equation has an X coz the questions are normally set with both equations having both values x and y