Answer: y: height, x: time.
Step-by-step explanation:
The data we have is:
The initial position of Greyson is 75ft above the river.
He needs 1.5 seconds to hit the water, and other 0.5s tho reach the bottom of the river.
Then we have a relationship of height vs time.
The y axis will represent the heigth of Greyson, and the x-axis will represent the time, such that at the time x = 0 seconds, we have y = 75ft
5 times the quantity 7 minus a number f in an algebraic expression.
Answer:
(5*7)-f
Step-by-step explanation:
Algebraic expression for the given statement is [tex]5 \cdot 7 -f[/tex]
Algebraic expressionAlgebraic expression is the combination of terms that consists of numbers and variables connected by arithmetic operators.
Given statement is 5 times the quantity 7 minus a number f in an algebraic expression.
We need to write it in an algebraic expression
5 times a quantity. for product we use multiplication sign
For addition we use + sign and for difference we use minus sign .
5 times the quantity 7 means 5 multiplied by 7
[tex]5 \cdot 7[/tex]
5 times the quantity 7 minus a number f
subtract f from the expression we got
[tex]5 \cdot 7 -f[/tex]
Algebraic expression for the given statement is [tex]5 \cdot 7 -f[/tex]
Learn more information about 'Algebraic expression ' here:
brainly.com/question/2193741
Determine if the triangles are congruent.
Answer:
Answer to number 3:
Yes, because these two are similar triangles for sure so all their respective angles are equal in measure, and two pairs of sides are congruent to each other, so the third one must be congruent too.
SOMEBODY PLEASE HELP ME ON THIS ; DUE TODAY, i’ll mark u the brainliest
Answer: Angle Addition Postulate
Step-by-step explanation:
According to the angle addition postulate, the measure of an angle formed by two angles side by side is the sum of the measures of the two angles. It is used to evaluate the measure of an angle formed by two or more angles .In the given picture, we have ∠MRO and ∠MRS on line SRO.
So, ∠SRO = ∠MRO +∠MRS [By angle addition postulate]
So the postulate that justify the statement " ∠SRO = ∠MRO +∠MRS" is Angle Addition Postulate.
Find the value of a.
3a-9=15
Answer:
a = 8Step-by-step explanation:
3a - 9= 15
To solve the equation send the constants to the right side of the equation
That's
3a = 15 + 9
simplify
3a = 24
Divide both sides by 3
[tex]\frac{3a}{3} = \frac{24}{3}[/tex]
The final answer is
a = 8
Hope this helps you
Answer:
a = 8
Explanation:
Step One - Add nine to both sides of the equation. This is the first step is to isolate the variable, a. This step will remove the negative nine from the equation.
3a - 9 = 15
3a - 9 + 9 = 15 + 9
3a = 24
Step 2 - Divide both sides of the equation by three. This is the last step to isolate the variable, a.
3a = 24
3a/3 = 24/3
a = 8
Since we have fully isolated the variable, a, we have determined its value.
Therefore, in the equation 3a - 9 = 15 the value of the variable is a = 8.
Solve the equation for x
Answer:
x = 33
Step 1:
First, let's add the values together from both parentheses.
2x + x = 3x
1 + (-10) = -9
Now we are left with:
3x - 9 = 90.
Step 2:
Add 9 on the left side to cancel out the 9. Add it to the right side.
3x = 99
Finally, divide both sides by 3 to get our answer.
3x / 3 = x
99 / 3 = 33
x = 33
How to do this question plz answer me step by step plzz
Answer:
Hope it helps U can still ask me if u have confusions
Answer:
60+16√30 cm² ≈ 147.64 cm²
Step-by-step explanation:
You can figure the height of the object from ...
V = Bh
120 cm^3 = (30 cm^2)h
4 cm = h . . . . . divide by 30 cm^2
However, this is insufficient to tell you the surface area.
__
If you assume that the base is square, then its side length is
A = s^2
s = √A = √(30 cm^2) = (√30) cm
The lateral surface area can then be found from the perimeter of the base and the height
LA = Ph = (4√30 cm)(4 cm) = 16√30 cm^2
The total surface area will be the sum of this lateral area and the area of the two bases:
total area = 16√30 cm^2 +2·30 cm^2
total area = (60 +16√30) cm^2 ≈ 147.64 cm^2
__
For any other shape, the total area will be larger. It can be arbitrarily large, unless limits are put on the dimensions of the object.
4 - Q = -2 what is Q
Answer:
Q = 6
Step-by-step explanation:
Step 1: Write equation
4 - Q = -2
Step 2: Subtract 4 on both sides (Subtraction Equality)
-Q = -6
Step 3: Divide -1 on both sides (Division Equality)
Q = 6
And we have our answer!
Answer:
[tex] \boxed{Q = 6}[/tex]Step-by-step explanation:
[tex] \mathrm{4 - Q = - 2}[/tex]
Move constant to R.H.S and change its sign
[tex] \mathrm{ - Q = - 2 - 4}[/tex]
Calculate
[tex] \mathrm{ - Q = - 6}[/tex]
Change the signs on both sides of the equation
[tex] \mathrm{Q = 6}[/tex]
Hope I helped!
Best regards!
Find the area of the shaded region
A. 12 ft^2
B. 36 ft^2
C. 40.5 ft^2
D. 18 ft^2
Answer:
The shaded area is 18 ft^2
Step-by-step explanation:
First find the area of the total trapezoid
A = bh
A = 1/2 ( b1+b2) *h
= 1/2 ( 6+12) *6
= 1/2 ( 18)*6
=54
Now find the area of the triangle
A = 1/2 bh
= 1/2 ( 12) * 6
= 36
Subtract the triangle from the trapezoid
54-36
18
The shaded area is 18 ft^2
Answer:
D. 18 sq.ft
Step-by-step explanation:
Lets make it simple and short.
Area of a triangle is 1/2 b h
b = 6
h = 6
Area = 1/2 * 6 * 6
Area = 18 sq.ft
Two angles are adjacent and form an angle of 160. Their difference is 34. Find the angles
Answer:
The angles are 63 , 97
Step-by-step explanation:
Let one angle be x
As sum of two angles is 160, the other angle = 160 - x
Their difference = 34
x - [160- x] = 34
Use distributive property to remove the brackets
x - 160 + x = 34
Add like terms
x + x - 160 = 34
2x - 160 = 34
Add 160 to both sides
2x = 34 + 160
2x = 194
Divide both sides by 2
2x/2 = 194/2
x = 97°
One angle = 97°
Other angle = 160 - 97 = 63°
Get this correct i will give u brainliest.
Answer:
x = - 2, y = - 8
Step-by-step explanation:
Given the 2 equations
13x - 6y = 22 → (1)
x = y + 6 → (2)
Substitute x = y + 6 into (1)
13(y + 6) - 6y = 22 ← distribute and simplify left side
13y + 78 - 6y = 22
7y + 78 = 22 ( subtract 78 from both sides )
7y = - 56 ( divide both sides by 7 )
y = - 8
Substitute y = - 8 into (2) and evaluate for x
x = - 8 + 6 = - 2
Thus x = - 2, y = - 8
what’s the equation of line ?
y =__x + __
Answer:
y=3/4x-2
Step-by-step explanation:
two points from graph (0-2) and (8,4)
find slope m: y2-y1/x2-x1
m=4+2/8-0
m=6/8=3/4
x=0 then y=b=-2
y=3/4x-2
A standard deck of 52 playing cards contains 13 cards in each of four suits: hearts, diamonds, clubs, and spades. Four cards are drawn from the deck at random. What is the approximate probability that exactly three of the cards are diamonds? 1% 4% 11% 44%
Answer:
4%
Step-by-step explanation:
There are ₁₃C₃ ways to choose 3 diamonds from 13.
There are ₃₉C₁ ways to choose 1 non-diamond from 39.
There are ₅₂C₄ ways to choose 4 cards from 52.
Therefore, the probability is:
₁₃C₃ ₃₉C₁ / ₅₂C₄
= 286 × 39 / 270,725
≈ 0.04
The approximate probability that exactly three of the cards are diamonds is 4%.
What is the probability?Probability refers to a possibility that deals with the occurrence of random events.
The probability of all the events occurring need to be 1.
We are given that standard deck of 52 playing cards contains 13 cards in each of four suits: hearts, diamonds, clubs, and spades.
Since we can see that there are ₁₃C₃ ways to choose 3 diamonds from 13.
₃₉C₁ ways to choose 1 non-diamond from 39.
₅₂C₄ ways to choose 4 cards from 52.
Therefore, the probability is:
₁₃C₃ ₃₉C₁ / ₅₂C₄
= 286 × 39 / 270,725
≈ 0.04
Therefore, the answer could be 4 percent.
Learn more about probability here;
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The solutions to (x + 3)^2- 4=0 are x = -1 and x = -5
True or false
Answer:
THE ANSWER WOULD BE TRUE MY FRIEND
Please help me understand this number sequence
Answer:
Step-by-step explanation:
A=a(r)^t
a=1
time=2.5 hours=25/10 ×60=150 minutes
10t=150
t=150/10=15
[tex]A=1(2)^{15}=32,768[/tex]
Suppose that the cost of renting a snowmobile is $37.50 for 5 hours.
a. If c represents the cost and ݄ represents the hours, which variable is the dependent variable?
b. What would be the cost of renting 2 snowmobiles for 5 hours? please and thanks ( i"ll give brainiest )
After taking off from the landing pad, a helicopter flies 3 miles west, then 2 miles southeast. How far is the helicopter from the landing pad? If someone could explain to that would be very helpful
Answer:
When the plane makes its turn to fly southeast, it makes a 45º angle at point a, making angle abc also equal to 45º.
Line ab is the 2 miles southeast the plane flies.
Line ac = line cb
sine (45º) = opposite / hypotenuse = cb / 2
.70711 = cb / 2
cb = 1.41422 miles = line ac
Line cs = 3 - 1.41422 = 1.58578
Line x^2 = cs^2 + cb^2
Line x^2 = 2.5146982084 + 2.0000182084
Line x^2 = 4.5147
Line x = 2.1248
Step-by-step explanation:
which one represents translation
Answer:
The third one
Step-by-step explanation:
Translation is when it moves
Simplify cos^2theta(1+ tan^2theta)
Answer:
1
Step-by-step explanation:
We will use x instead of theta
● cos^2 x *(1+tan^2x)
We khow that: 1+ tan^2 x = 1/cos^2 x
Replace 1+tan^2 x by the new expression
● cos^2 x (1/cos^2 x)
● cos^2x/ cos^2 x
● 1
Assume that the flask shown in the diagram can be modeled as a combination of a sphere and a cylinder. Based on this assumption, the volume of the flask is cubic inches. If both the sphere and the cylinder are dilated by a scale factor of 2, the resulting volume would be times the original volume.
Answer:
The answer is below
Step-by-step explanation:
From the diagram of the flask attached, the diameter of the cylinder is 1 inch and its height (h) is 3 inches. The radius of the cylinder (r) = diameter / 2 = 1/2 = 0.5 inch
The volume of the cylinder = πr²h = π(0.5)² × 3 = 2.36 in³
While for the sphere the diameter is 4.5 in. The radius of the sphere R = diameter / 2 = 4.5/2 = 2.25
The volume of the sphere = 4/3 (πR³) = 4/3 × π × 2.25³ = 47.71 in³
Volume of the flask = The volume of the cylinder + The volume of the sphere = 2.36 + 47.71 = 50.07 in³
If the sphere and the cylinder are dilated by a scale factor of 2. For the cylinder its height (h') = 3/2 = 1.5 inch and its radius (r') = 0.5/2 = 0.025
The new volume of the cylinder = πr'²h' = π(0.25)² × 1.5 = 0.29 in³
While for the sphere The radius of the sphere R' = 2.25 / 2 = 1.125
The new volume of the sphere = 4/3 (πR'³) = 4/3 × π × 1.125³ = 5.96 in³
New Volume of the flask = The new volume of the cylinder + The new volume of the sphere = 0.29 + 5.96 = 6.25 in³
The ratio of the new volume to original volume = New Volume of the flask / Volume of the flask = 6.25 / 50.07 = 1/8 = 0.125
The resulting volume would be 0.125 times the original volume
Answer:
50.07 and 8 times
Step-by-step explanation:
1) Calculate volume of each figure using according formulas.
You should get:
Sphere: 47.71in^3
Cylinder: 2.36in^3
Now let's add, and you should get 50.07.
2) Let's dilate the dimensions/flask by 2 (multiply by 2)
4.5 * 2 = 9
1 * 2 = 2
3 * 2 = 6
Now with these dimensions you should get:
Sphere: 381.7in^3
Cylinder: 18.85in^3
This should add up to 400.55in^3
Divide new by original. 400.55 / 50.07 = 8
So it is 8 times larger.
Convert to slope-intercept from: y-3=6(x-5)
Answer:
y = 6x -27
Step-by-step explanation:
y-3=6(x-5)
Distribute
y-3 = 6x-30
Add 3 to each side
y-3+3 = 6x-30+3
y = 6x -27
This is in slope intercept form y=mx+b where m is the slope and b is the y intercept
Hey there! I'm happy to help!
Slope intercept form is y=mx+b. So, the first thing we want to do is isolate y on side of the equation.
y-3=6(x-5)
We use distributive property to undo parentheses.
y=3=6x-30
We add 3 to both sides.
y=6x-27
Now, this in slope intercept form.
Have a wonderful day! :D
#5 Find the distance between the points on the graph.
Answer:
approximately 12.04 units
Step-by-step explanation:
We'll use the Pythagorean Theorem to solve this problem.
There are two points here. The horizontal distance between them is 8 units and the vertical distance is 9.
According to the Pythagorean Theorem (or the Distance Formula), the distance between the two points is
d = √(8^2 + 9^2) = √(64 + 81) = √145 units, or approximately 12.04 units.
23^3 (-12)^3 +(-11)^3 without actually calculating cubes
Answer:
9108
Step-by-step explanation:
23^3+(-12)^3+(-11)^3 remove parentheses
= 23^3-12^3-11^3 group difference of two cubes
= (23-12)(23^2+23*12+12^2) + 11^3 factor difference of two cubes
= 11 (23^2+23*12+12^2-11^2) factor ou 11
= 11(23(23+12) + (12+11)(12-11)) apply difference of two squares
= 11 (23*35+23*1) factor out 23
= 11(23*(35+1)) simplify
= 11*23*36 convert 11*23 into difference of 2 squares
= (17^2-6^2)*6^2 expand parentheses
= 102^2-36^2 evaluate squares
= 10404 - 1296 subtraction
= 9108
(no calculator required)
What is the measure of angle B?
Answer:
b = 60
Step-by-step explanation:
The sum of the angles of a triangle are 180
80+40+b = 180
Combine like terms
120+b =180
Subtract 120 from each side
b = 180-120
b = 60
Answer:
60°
Step-by-step explanation:
Recall that all triangles have an interior angle sum of 180. In other words:
[tex]\angle A+\angle B +\angle C = 180[/tex]
Plug in the angle values we know:
[tex](80)+(40)+\angle B = 180\\120+\angle B =180\\\angle B = 60\textdegree[/tex]
a shop has a sale and reduces all the prices by 15k in naira.find the sale price of an article of an article marked at 750naira
Answer:
Question (i):
Reduce = 15% of Rs 40 = 0.15 x 40 = Rs 6
Price after reduced = Rs 40 - Rs 6 = Rs 36
Answer: Rs 36
-
Question (ii):
Reduce = 15% x 20.40 = 0.15 x 20.40 = Rs 3.60
Price after reduced = Rs 20.40 - Rs 3.60 = Rs 17.34
Answer: Rs 17.34
-
Tom finished reading 3/7 of a book in the first week, and he read 3/4 of the remainder in the second week. what fraction is left?
Answer:
1/7 is left
Step-by-step explanation:
What is left to read after the first week
1 - 3/7
7/7 - 3/7
4/7
He read 3/4 of this the second week
4/7 * 3/4
3/7 was read
4/7 - 3/7 is what is left
1/7 is left
Answer:
The correct answer is
Step-by-step explanation:
1/7 of the book is left to read.
Hope this helps....
Have a nice day!!!!
answer it answer it it
Answer:
answer it answer it it
answer it answer it it
Answer:
the answer is answer i hope u have a great day
(if u apricate me giive me a brainly by pressing the crown and giving me a heart) THANKS!!!
Step-by-step explanation:
Lines T U and R S intersect lines M N and P Q. Where line T U intersects with lines M N and P Q, right angles are formed. Lines M N and P Q are straight lines that are next to each other and they will never intersect. Lines T U and R S are next to each other and could intersect. Which two statements are both true?
c. Tu | MN and MN || PQ I am done with the interview
[tex]\frac{63,756×60}{70×5,280}[/tex]
Answer:
[tex]1035[/tex]
Step-by-step explanation:
(63756×60)/(70×5280)
=1035
please help :) Write the number shown in standard notation. 6.94 x 10 to the 6 power A. 694 B. 6,940,000 C. 694,000,000 D. 694,000
Answer:
B. 6,940,000
Step-by-step explanation:
6.94 x 10^6
Make the number "6.94" as 694.
Since we make this decimal point move 2 places to the right.
We should decrease 2 powers from 10^6
=> 694 x 10^4
=> 694 x 10000
=> 6,940,000
So, the answer is B
Is there an association between favorite core subject and favorite elective? If so, describe it.
Answer:
Yes
Step-by-step explanation:
Take note that a favorite core subject represents subjects that are widely recognized as important to the student's line of study, they include subjects like Maths, English, Science, and Engineering.
While Elective subjects are optional subjects that are deemed less important than the core, but by choosing one's favorite elective subject shows that individual places a certain level of importance that is almost that of the core subject.
