Answer:
Activity 1:-
1) Pi (π) is the ratio of circumference and the diameter of the circle which is 22/7. So
[tex]\frac{c}{d} =\pi = \frac{22}{7}[/tex]
[tex]=> c = \frac{22}{7} d[/tex] where circumference is directly proportional to diameter (d).
2) Area of a parallelogram = Altitude × Base
Base = 10 cm. So ,
[tex]A = 10a[/tex] where area (A) is directly proportional to altitude (a).
3) Let the fare of 1 unit distance be f
So, for distance d , total fare (F) will be [tex]F = fd[/tex] where total fare (F) is directly proportional to distance (d).
4) Let the distance be 'D' , speed be 's' & time be 't' .
We know that [tex]s = \frac{D}{t}[/tex] where speed (s) is directly proportional to distance (D) & inversely proportional to time (t).
5) We know that area of a square (A) = side² (s²)
[tex]=> A = s^{2}[/tex] where area(A) is directly proportional to side(s).
Activity 2:-
1) p is directly proportional to sum of u & w.
⇒ p ∝ u + w
⇒ p = k (u + w)
Putting the values of p , u & w
⇒ 14 = k(4 + 3)
⇒ 7k = 14
⇒ k = 14/7 = 2
2) r is directly proportional to square of t.
⇒ r ∝ t²
⇒ r = k × t²
Putting the values of r & t
⇒ 16 = k × 16²
⇒ k = 16² ÷ 16 = 16
3) y is directly proportional to cube root of x.
⇒ y ∝ ∛x
⇒ y = k × ∛x
Putting the values of x & y ,
⇒ 2 = k × ∛27
⇒ 3k = 2
⇒ k = 2/3
4) z is directly proportional to cube of d.
⇒ z ∝ d³
⇒ z = k × d³
Putting the values of d & z ,
⇒ 5 = k × 2³
⇒ 8k = 5
⇒ k = 5/8
5) Total Surface Area (SA) is directly proportional to square of the sides (s).
⇒ SA ∝ s²
⇒ SA = k × s²
Putting the values of SA & s ,
⇒ 96 = k × 4²
⇒ 16k = 96
⇒ k = 96/16 = 6
Factor the expression completely. 10x^5 -7×^3?
Answer:
there is your answer hope that helps
What’s the answer???
Answer:
i'm not sure what is it ?
Step-by-step explanation:
с
For the diagram shown, select the angle pair that
represents each angle type.
Corresponding angles
b
1/2
5
CO
910
Altemate exterior angles
A
3
4
7
8
1112
Alternate interior angles
Vertical angles
Answer:
For the diagram shown, select the angle pair that represents each angle type.
Corresponding angles
✔ D. angle 7 and angle 3
Alternate exterior angles
✔ C. angle 12 and angle 5
Alternate interior angles
✔ D. angle 2 and angle 11
Vertical angles
✔ C. angle 7 and angle 6
Step-by-step explanation: cus I did it on Edge 2021 and these were the answer...just trust me :)
Which attribute is shared by both squares and trapezoids?
A) 4 sides
B) 4 right angles
C) All sides of equal length
D) 2 sets of parallel sides
(GIVING BRAINLIEST!!)
A teacher buys 5 pizzas. Each slice is 1/8 of a pizza. How many slices are there in total?
A) 1/40 slice
B) 4 slices
C) 20 slices
D) 40 slices
Answer:
40 slices
Step-by-step explanation:
one eighth times 8 equals 1 pizza. 8 times 5 is 40
Answer:
there is a total of 40 pizza slices in total
How long it takes for something to travel a certain distance is the definition of:
Answer: boat
Step-by-step explanation: the farthest it can go is weeks
Mr. O’Hara found that on a recent trip his car used 12 gallons of gas to drive 396 miles. Assume that m represents the number of miles driven and g represents the number of gallons of gas used. What value makes the equation m=_*g represent the relationship between gallons of gas and miles driven?
Answer:
I think the answer would be 33. I am not exactly sure though.
Answer the viable point to please! But Answer Both!!
Translate the following phrase into an expression: “An unknown number increased by ten”
Answer:
n + 10
Step-by-step explanation:
We can substitute unknown number with any variable, such as n, and substitute increased by ten with + 10, because we are adding 10. Therefore, the answer is n + 10.
A 30-60-90 triangle is shown below. Find the Value of X.
Will mark brainliest
Answer:
x = 5
Step-by-step explanation:
ratio of sides in a 30-60-90 triangle is 1: [tex]\sqrt{3}[/tex] : 2
to find 'x' for the triangle shown, divide the hypotenuse by 2
10/2 = 5
After 2 week he has used 8 1/2 cups of dog food after 5 week he has used 21 1/4 cups construct a function in the form y =mx+ to represent the amount of dog food used y, after x weeks
Answer:
y = 4.25x
Step-by-step explanation:
Given that:
After 2 week he has used 8 1/2 cups of dog food after 5 week he has used 21 1/4 cups, we can write this in coordinate form (x, y) where;
y is the amount of dog food
x is the time in weeks
The coordinates are (2, 8 1/2) and (5, 21 1/4)
get the slope m:
m = y2-y1/x2-x1
m = (21 1/4 - 8 1/2)/5-2
m = (85/4-17/2)/3
m = (85-34/4)/3
m = 51/12
m = 4.25
Get the intercept c:
Substitute any of the points say (2, 17/2) and m = 51/12 into the equation
y = mx+c
17/2 = 51/12(2) + c
17/2 = 51/6 + c
c = 17/2 - 51/6
c = 51-51/6
c = 0
Get the required equation:
substitute m - 4.25 and c = 0 into y = mx+c
y = 4.25x + 0
Hence the required equation is y = 4.25x
3. Select all answers that would create a dilation.
O (x,y) -----> (2x,4y)
O (x,y) -----> (-2x,-2y)
O (x,y) -----> (92x,2y)
O (x,y) -----> (3x,3y)
O (x,y) -----> (1.2x,1.2y)
Answer:
Option B,D and E will create dilation.
Step-by-step explanation:
Dilation is the enlarging or shrinking of an element using a common scale factor.
If the same factor is multiplied by the elements, the dilation is created.
Looking at the options:
Option A
O (x,y) -----> (2x,4y)
if we take 2 as common we get 2 (x,2y) not the original coordinates (x,y). So, no dilation.
Option B
O (x,y) -----> (-2x,-2y)
if we take -2 as common we get -2(x,y) which is same as original coordinates. It would create dilation.
Option C
O (x,y) -----> (92x,2y)
if we take 2 as common we get (46x,y) not the original coordinates (x,y). So, no dilation.
Option D
O (x,y) -----> (3x,3y)
if we take 3 as common we get 3(x,y) which is same as original coordinates. It would create dilation.
Option E
O (x,y) -----> (1.2x,1.2y)
if we take 1.2 as common we get 1.2(x,y) which is same as original coordinates. It would create dilation.
So, Option B,D and E will create dilation.
A middle-school art teacher, Ms. Velez, and her students are turning the school’s gymnasium into a student art museum for the day.
Ms. Velez types a program for the event and writes: "The most popular art museum in the world, the Louvre, has approximately 9,300,000 visitors each year. About 1,900,000 of those visitors are young people age 18 to 25."
1) How would you write the two numbers above in scientific notation? (2 points)
2) BONUS: Approximately what percent of visitors to the Louvre are young people?
Answer:19 to the 5th power
Step-by-step explanation:
U got to count all the zeros and that will be the number u put on top plus 19
Help! Look at the pic of attached. I will mark brainliest!
Answer:
you did not attach a paper
Step-by-step explanation:
sorry I wish I could help
What is 5/20 simplified ?
The answer is 1/4. And how I got that is I divided both sides by 5, and I got the answer 1/4. I hope this helps! :)
help me guys show your solution and answer the qquestion
Step-by-step explanation:
Line2
x - y = 3/2x = y + 3/2Line 3
3x + 2y = 63x = -2y + 6x = -2/3y + 2Line 4
1/4x + y = 2y = -1/4x + 2Line 5
4x - 3y = -333y = 4x + 33y = 4/3x + 11Questions
1. Yes. You need to isolate the variable to find and simplify.2. To solve for x would require to multiply all terms by 4 to get rid of fraction3. It wouldn't be easy because of the fraction. To make it easier would use multiples of 3 for x.Without looking, Luke picks necklace beads from a bag of 52 beads. Half the beads are rough. The other half are smooth. There are 13 red beads, 13 blue beads, 13 green beads, and 13 black beads.
What is the theoretical probability of selecting a rough bead?
The theoretical probability of selecting a rough bead is 1/2.
Total number of beads = 52
Number of rough beads = 26
Number of smooth beads =26
What is the probability?Probability is the measurement of possibilities.
P(event) = favorable outcomes/total outcomes
P(rough) = number of rough beads/ total beads
P(rough) =26/52
P(rough) =1/2
Therefore, the theoretical probability of selecting a rough bead is 1/2.
To get more about probability visit:
https://brainly.com/question/24756209
Answer: 1/2
Step-by-step explanation:
What is the solution to 5(x-1)+3x=7(x+1)
Answer: x = 12
Step-by-step explanation:
5(x-1)+3x=7(x+1)
5x - 5 + 3x = 7x + 7
8x - 5 = 7x + 7
x - 5 = 7
x = 12
Jordan's pet grooming business has a monthly cost function of C = $12p + $2100. His Revenue is given by the function R = $62p, where C is the total cost per month, R is the total revenue he receives each month and x is the number of pets he grooms in a month. How many pets must he groom each month to break even?
Answer:
Step-by-step explanation:
.
i haven't submitted a single assignment for this class since winter break bc i didn't realize she was assigning things on goformative and not schoology and now we're on trigonometric ratios i'm confused help me
Answer and Step-by-step explanation:
Trigonometric Function (These only work for right triangles):
SOH-CAH-TOA
S = Sine = sin
C = Cosine = cos
T = Tangent = tan
O = Opposite (side)
H = Hypotenuse (side)
A = Adjacent (side)
SOH = sin(angle) = [tex]\frac{opposite}{hypotenuse}[/tex]
CAH = cos(angle) = [tex]\frac{adjacent}{hypotenuse}[/tex]
TOA = tan(angle) = [tex]\frac{opposite}{adjacent}[/tex]
1. sinQ (Q is the angle) = [tex]\frac{14}{50} = \frac{7}{25} = 0.28[/tex]
Use Pythagorean Theorem to find side PQ. [tex]14^{2} + PQ^{2}= 50^{2} \\PQ^{2} = 2304\\PQ = 48[/tex]
2. cosQ = [tex]\frac{48}{50} = \frac{24}{25} = 0.96[/tex]
3. tanQ = [tex]\frac{14}{48} = \frac{7}{24} = 0.29[/tex]
-6x + 30 > 36 Solve for x
Answer:
x > -2
Step-by-step explanation:
-6 (-2) + 30 > 36
12 + 30 > 36
42 > 36
Yes
help pls, i’ll mark as brainliest if correct
Answer: -11/12
Step-by-step explanation:
The graph of the function f is shown. f(5) =
)
A
-5
B)
-1
0
D)
5
Answer:
The answer is 0
Step-by-step explanation:
because the x intercept is 5,0
help me pass my class .
Answer:
about 3.6
Step-by-step explanation:
pythagorean theorem
sqrt 13
which is an equation of the line through (-1 -4) and parallel to the line 3x+y=5
Answer:
y=-3x-7
Step-by-step explanation:
y=-3x+5
-3 stays the same
y=-3x+c
input values
-4=3+c
c=-7
y=-3x-7
For each year that a gift card goes unused, the value of the card decreases by 5%. What is the value of a $25.00 gift card after 1 year? Show your work.
Answer:
25*0.95 = 23.75
Step-by-step explanation:
i multiplied by 0.95 because the card is still worth 95% of it's original worth.
you could've done:
25*0.05= 1.75 and then subtract that from 25 to get 23.75, i just find the other way easier.
i hope this helped :)
What is greater -3.2 or -3
Answer:
-3 is greater
Step-by-step explanation:
Have a good day :)
how do you find out the rate per hour using minutes
Answer: You do this by dividing the minutes worked by 60. You then have the hours and minutes in numerical form, which you can multiply by the wage rate
Step-by-step explanation:
Answer:
You do this by dividing the minutes worked by 60. You then have the hours and minutes in numerical form, which you can multiply by the wage rate. For example, if your employee works 38 hours and 27 minutes this week, you divide 27 by 60.
Step-by-step explanation:
( 10 - 2n ) - ( 5n - 8)
Answer:
− 7n+18
Step-by-step explanation:
(10- 2n)- (5n- 8)
− 2n+10-5n+8
-7n+18
Thomas got a flat tire and had to walk 1/4 mile to the nearest gas station. How many feet did Thomas walk?
Answer:
[tex]1320\ \text{feet}[/tex]
Step-by-step explanation:
The distance Thomas walked to the nearest gas station is [tex]\dfrac{1}{4}\ \text{mile}[/tex].
The conversion factor for miles to feet is
[tex]1\ \text{mile}=5280\ \text{feet}[/tex]
So
[tex]\dfrac{1}{4}\ \text{mile}=\dfrac{1}{4}\times 5280[/tex]
[tex]=1320\ \text{feet}[/tex]
Hence, Thomas had to walk [tex]1320\ \text{feet}[/tex] to get to the nearest gas station.