Answer:
3x-y+6=0.......(1)
y+2x=5........(2)
[m1]slope of line 1=- coefficient of x/coefficient of y=3
[m2]=slope of line 2=- coefficient of x/coefficient of y=-2
we have
tan ø=[tex] \frac{m1 - m2}{1 + m1m2} [/tex]
tan ø=[tex] \frac{3+2}{1 + 3×-2} [/tex]
tan ø=[tex] \frac{5}{-5} [/tex]
tan ø=-1
ø=135°
obtuse angle between the pair of line is 135°
What is 721295.198715 rounded to the nearest tenth
Answer:
The answer is 721295.2
Answer:
721,295.2
Step-by-step explanation:
I used the "Rounding Numbers Calculator" on Calculator Soup
He dimensions are tripled. The new surface area would be times larger than the original surface area.
Answer:
The new surface area would be 9 times larger than the original surface area.
Step-by-step explanation:
Here we do not know what was the original shape, but we will see that it does not matter.
Let's start with a square of side length L.
The original area of this square will be:
A = L^2
Now if each dimension is tripled, then all the sides of the square now will be equal to 3*L
Then the new area of the square is:
A' = (3*L)^2 = (3*L)*(3*L) = 9*L^2 = 9*A
So the new surface area is 9 times the original one.
Now, if the figure was a circle instead of a square?
For a circle of radius R, the area is:
A = pi*R^2
where pi = 3.14
Now if the dimensions of the circle are tripled, the new radius will be 3*R
Then the new area of the circle is:
A' = pi*(3*R)^2 = pi*9*R^2 = 9*(pi*R^2) = 9*A
Again, the new area is 9 times the original one.
If the figure is a triangle?
We know that for a triangle of base B and height H, the area is:
A = B*H/2
If we triple each measure, we will have a base 3*B and a height 3*H
Then the new area is:
A' = (3*B)*(3*H)/2 = (3*3)*(B*H/2) = 9*(B*H/2) = 9*A
Again, the new area is 9 times the original area.
So we can conclude that for any shape, the new area will be 9 times the original area.
Help me it’s due in 20 minutes!!
PLEASE HELP FAST!!!
The table shows the percentage of students in each of three grade levels who list soccer as their favorite sport.
Soccer
Sophomores (35%) 50%
Juniors (33%) 45%
Seniors (32%) 30%
Total (100%) (0.5)(0.35) + (0.45)(0.33) + (0.32)(0.3) = 0.4195 or about 42%
Find the probability, rounded to the nearest hundredth, that any student selected from all three grades is a junior who lists soccer as the favorite sport.
P(junior ∩ soccer) =
A) 0.45
B) 0.78
C) 0.52
D) 0.15
Answer: a is your answer hope this helped
plz make brainly
Step-by-step explanation:
Answer:
0.45
Step-by-step explanation:
8x−10 ∘ +4x+52 ∘ =90 ∘
Answer:
[tex] \huge\red{ \mid{ \underline{ \overline{ \tt ♡ ANSWER ♡ }} \mid}}[/tex]
[tex]8x - 10 + 4x + 52 = 90 \\ 8x + 4x - 10 + 52 = 90 \\ 12x + 42 = 90 \\ 12x = 90 - 42 \\ 12x = 48 \\ x = \frac{48}{12} \\ x = 4[/tex]
➳The value of x = 4.Now, the value of the angles,
[tex]8x - 10 \\ = 8(4) - 10 \\ = 32 - 10 \\ = 22[/tex]
➳ 1 angle = 22°[tex]4x + 52 \\ = 4(4) + 52 \\ = 16 + 52 \\ = 68[/tex]
➳ 2 angle = 68°ʰᵒᵖᵉ ⁱᵗ ʰᵉˡᵖˢ
[tex] \huge\purple{ \mid{ \underline{ \overline{ \tt ꧁❣ RainbowSalt2222 ࿐ }} \mid}}[/tex]
A game rental service allows customers to rent games for $5 each
after paying a monthly membership fee of $7. The total amount
spent each month can be modeled by y=5x+7. What does the
variable x represent in this function?
a) The total money spent each month
b) The number of games rented
c) The cost of renting 1 game
Anyone can help
Me with this?
Answer:
the number of games rented
Step-by-step explanation:
in y=5x + 7
7= membership fee
5x represents the $5 per game times the number of games rented x
The right rectangular prisms are similar.
Which statements are correct? Check all that apply.
3.2 AT
The angles in the smaller prism measure 90
degrees.
The perimeter of the rectangular bases changes by
a factor of 2.
The surface area changes by a factor of 8.
The larger prism has twice the volume of the
smaller prism.
The area of the rectangular bases changes by a
factor of 4.
1.6
-
-
-
-
-
-
10.4
V
0.8
2.2.
Answer:
A)The angles in the smaller prism measure 90 degrees.
B)The perimeter of the rectangular bases changes by a factor of 2.
E)The area of the rectangular bases changes by a factor of 4.
Step-by-step explanation:
The right rectangular prisms are similar.
Which statements are correct? Check all that apply.
A)The angles in the smaller prism measure 90 degrees.
B)The perimeter of the rectangular bases changes by a factor of 2.
C)The surface area changes by a factor of 8.
D)The larger prism has twice the volume of the smaller prism.
E)The area of the rectangular bases changes by a factor of 4.
Solution:
Two polygons are said to be similar if they have the same shape, the ratio of their sides are in the same proportion and they have the same size of angles.
A) Since the bigger prism has angles with measure of 90°, hence the angles in the smaller prism will also measure 90.
Option A is correct.
B) Perimeter of bigger prism base = 2(2.2 + 0.8) = 6
Perimeter of smaller prism base = 2(1.1 + 0.4) = 3
The perimeter of the rectangular bases changes by a factor of 2 (6 / 3).
Option B is correct.
C) Surface area of bigger prism = 2(3.2*0.8 + 2.2*0.8 + 3.2*2.2) = 22.72
Surface area of smaller prism = 2(1.6*0.4 + 1.1*0.4 + 1.6*1.1) = 5.68
The surface area does not change by a factor of 8 (22.72 / 5.68 ≠ 8)
Option C is wrong
D) Volume of bigger prism = 2.2 * 3.2 * 0.8 = 5.632
Volume of smaller prism = 1.1 * 1.6 * 0.4 = 0.704
The larger prism volume is not twice of the smaller prism
Option D is wrong
E) Area of bigger prism base = 2.2*0.8 = 1.76
Area of smaller prism base = 2.2*0.8 = 0.44
The area of the rectangular bases changes by a factor of 4 (1.76 / 0.44 = 4)
The binomial (x + 5) is a factor of x2 + 8x + 15. What is the other factor? (x + 3) (x + 7) (x + 12) (x + 13)
Answer: [tex]x+3[/tex]
Step-by-step explanation:
Given
[tex](x+5)[/tex] is a factor of [tex]x^2+8x+15[/tex] , that is
If [tex]x^2+8x+15[/tex] is divided by [tex](x+5)[/tex], it yields 0 remainder
Solve the quadratic equation
[tex]\Rightarrow x^2+8x+15=0\\\Rightarrow x^2+3x+5x+15=0\\\Rightarrow (x+3)(x+5)=0\\\Rightarrow x=-3,-5[/tex]
Therefore, [tex]x+3[/tex] is another factor of the quadratic equation.
Answer:
x+3
Step-by-step explanation:
its A or first option or (x+3)
The dot plots below show the number of points scored by Sam and Daniel in 15 basketball games.
Which statement is best supported by the data in the dot plots?
A The range for Daniel's data is greater than Sam's range.
B The median for Daniel's data is the same as the median for Sam's data.
C The range for Daniel's data is the same as the range for Sam's data.
D The median of Sam's data is greater than the median of Daniel's data.
Answer:
B.
Step-by-step explanation:
Sam median = 12 which has 3 points scored.
Daniel median = 16 which has 3 points scored.
Both scored the same amount of data which is 3 points.
Both the ranges are 16. so it cant be A or C.
Which of the following are examples of radical numbers? Select all that apply.
Ill give the brainlest to the first correct answer
Answer:
√5 + √36
√9 + √24
3√12
These are radicals
Step-by-step explanation:
[tex]\sqrt{4}+\sqrt{16}=\sqrt{2*2}+\sqrt{4*4}=2+4 = 6[/tex]
Not radical
[tex]\sqrt{5}+\sqrt{36}=\sqrt{5}+\sqrt{6*6}=\sqrt{5}+6[/tex]
It is a radical
[tex]\sqrt{9}+\sqrt{24}=\sqrt{3*3}+\sqrt{2*2*2*3}=3+2\sqrt{2*3}=2+2\sqrt{6}[/tex]
It is radical
[tex]2*\sqrt{4}=2*2=4[/tex]
Not radical
[tex]\sqrt{49}*\sqrt{81}=\sqrt{7*7}*\sqrt{9*9}=7*9=63[/tex]
Not radical
[tex]3\sqrt{12}=3\sqrt{2*2*3}=2\sqrt{3}[/tex]
Radical
Find m < RQP
Question 1 options:
70°
55°
80°
90°
Answer:
80°
78% positive
The measure of the unknown angle is 70 degrees
In circle geometry, there is a theorem that states that the angle at the centre of a circle is twice the angle at the circumference
Given the following parameters;
Angle at the circumference = x
Angle at the centre = 140 degrees
Using the given theorem;
140 = 2x
Swap
2x = 140
x = 140/2
x = 70
Hence the measure of the unknown angle is 70 degrees
Learn more here: https://brainly.com/question/19906109
suppose g(x)=f(x+1)+5.which statement best compares the graph of g(x) with the graph of f(x)
Answer:
g(x) : horizontal transformation to the left 1 unit and vertical transformation UP 5 units to f(x)
Step-by-step explanation:
g(x) : horizontal transformation to the left 1 unit and vertical transformation UP 5 units to f(x)
Naina went on a trip. She covered a distance of 34 Kilometre 46 metre by car, 143 kilometre 92 metre by train, 5 kilometre 92 metre by bus, 2 kilometre 60 metre on bullocks and 1.3 kilometre on foot. How much distance did she cover.
Answer:
185590 m
or 185 km 590 meters
Step-by-step explanation:
to calculate total distance covered, convert km to meter and adding the numbers together
1km = 1000m
34 Kilometre 46 metre = (34 x 1000) + 46 = 34046m
143 kilometre 92 metre = ( 143 x 1000) + 92 = 143,092m
5 kilometre 92 metre = (5 x 1000) + 92 = 5092
2 kilometre 60 metre = (2 x 1000) + 60 = 2060
1.3 km = 1.3 x 1000 = 1300
Help pls no links or I’ll report
Answer:
A) 6x - 3 + 8x
B) 14x - 3
E) 2 (3x - 2) + 8x + 1
Option 1, 2, and 5 are the correct answers.
finish solving for x
NO LINKS OR I WILL REPORT
Answer:
x=10 y=20
Step-by-step explanation:
Please helpp!! (30 POINTS)!!!
Answer:
b
Step-by-step explanation:
11+11+10+10=42cm
Scientists notice two asteroids moving directly toward each other. Right now, they are 20 million kilometers apart, but they are on a collision course. The graph represents their paths and likely collision point, with the origin representing the initial position of asteroid A.
What is the point of intersection of the two lines, and what do the x- and y-values of the point of intersection mean?
Answer:
The point of intersection is (6, 8). This indicates that in 6 days, asteroid A and B will collide at a point that is 8 million miles away from asteroid A's current position and 12 million miles away from asteroid B's current position.
PLSSS HELPPPPP WILL REWARD THE BRAINLIESTTT SOONER OR LATER THATS A PROMISE
Answer:
Divide both sides by L
Step-by-step explanation:
Because L is multiplied by W, to find W you would need to move the L to the other side by doing the reverse operation, which in this case is division.
Help please !!!!!!!!
Answer:
ITS B
Step-by-step explanation:
I GOT IT ALL RIGHT
find z and x please
Answer:
x = 20
X was found using the Pythagorean theorem
Step-by-step explanation:
You flip a coin 50 times. Of the 50 flips, the coin landed on heads 30 times. Use the questions below to compare the experimental probability of flipping heads with the theoretical probability of flipping heads.
Given:
Of the 50 flips, the coin landed on heads 30 times.
To find:
The experimental probability of flipping heads and compare it with the theoretical probability of flipping heads.
Solution:
We have,
Total number of trials = 50
Total number of heads = 30
The experimental probability of flipping heads is:
[tex]\text{Experimental probability}=\dfrac{\text{Total number of heads}}{\text{Total number of trials}}[/tex]
[tex]\text{Experimental probability}=\dfrac{30}{50}[/tex]
[tex]\text{Experimental probability}=\dfrac{3}{5}[/tex]
[tex]\text{Experimental probability}=0.6[/tex]
A coin has two sides one is heads and another is tails. So, the theoretical probability of flipping heads is:
[tex]\text{Theoretical probability}=\dfrac{1}{2}[/tex]
[tex]\text{Theoretical probability}=0.5[/tex]
Therefore, the experimental probability of flipping heads is 0.6 and the theoretical probability of flipping heads is 0.5. So, the experimental probability is greater than the theoretical probability of flipping heads.
Witch equation is true when the value of x is -12?
A:1/2x + 22 = 10
B:15 - 1/2x = 21
C:11 - 2x = 17
D:3x - 19 = -17
Answer:
please the answer is D
I'm very interested in the question
MARKING BRAINLIEST IF U HELP 19 - s = 13; s = -6 yes no question
Answer:
Step-by-step explanation:
We have the equation 19 - s = 13, and are asked to determine whether s = -6 fits in.
To solve, we need to isolate "s", do as followed and subtract 19 from both sides :
s = -6
Since this is equal to what the question is asking, yes s = -6 is correct.
Which job here requires the least amount of training and education
A. Elementary Teacher
B. College professor
C. Cashier
D. Accountant
Answer:
Cashier
Step-by-step explanation:
An elementary school teacher has to go to college, a college professor has to have a college degree, and although accountants are always required to go to college most places hire accountants that have gone to school.
Answer:
C. Cashier
Step-by-step explanation:
Retail cashiers require no formal training.
To be an elementary teacher, you must have at least a Bachelor's degree.
To be a college professor, you must have at least a Master's degree.
To be an accountant, you must have at least a Bachelor's degree.
PLEASE HELP ME!!!!!!!!!!!
Answer:
Yes.
Step-by-step explanation:
In order to form a triangle the sum of two sides should exceed the third side.
so here the given measurements fulfill this statement so
with the given lengths ; 15, 12 , 9 can form a triangle.
Find the value of x.
Answer:
x = 11
Step-by-step explanation:
PLEASEEE I NEED HELP
Given the function f(x) = x2 – 8x + 9
a) Use completing the square to express the given function in vertex form.
b) State the coordinates of the vertex.
Need help with algebra fast plz it’s due in 2 hours and can work be included if not that fine I just want the answer
[tex] \binom{ 1/3}{-2/3} \binom{1/3}{-1/6} [/tex]
need the roots, please help
What is logo e' rewritten using the power property?
O elog6f
O flog6e
O log6(e•f)
O log6(e+ f)