Answer:
122.5 m
Step-by-step explanation:
s = ½g.t²
= ½×9.8×5² = 122.5
Before hitting the ground, the velocity of the object was 49 m/s.
What are the three equations of motion?
The three equations of motion are -
v = u + at
S = ut + 1/2 at²
v² - u² = 2aS
Given is an object that is dropped such that it falls for 5.00 s before hitting the ground.
initial velocity = [u] = 0 m/s
final velocity = v m/s (let)
acceleration due to gravity = [g] = 9.8 m/s²
time taken = [Δt] = 5 sec
Using the first equation of motion -
v = u + at
v = 0 + 9.8 x 5
v = 49 m/s
Therefore, before hitting the ground, the velocity of the object was 49 m/s.
To solve more questions on Kinematics, visit the link below-
https://brainly.com/question/6503406
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decompose 17x^3+7x^2-17x-7 divided by (x-1)^2(x+1)^2 into partial fraction
..........................................................................................................................................................................................................................................................................................................................................................................................................................................................
In a right triangle, sin(40 - 2) = cos(32)'. What is the value of x?
O 10
O 15
O 20
O 25
Answer:
x = 25
Step-by-step explanation:
Correct question
In a right triangle Sin (40-x)=cos(3x) what is the value of x
Since Sin theta = Cos(90-theta)
Sin (40-x) = Sin(90-3x)
40 - x = 90 - 3x
-x+3x = 90 - 40
2x = 50
x = 25
Hence the value of x is 25
The cube root parent function is reflected across the x-axis, vertically stretched by a factor of 3 then translated 8 units down. Write an equation that could represent this function.
Answer:
Its B trustStep-by-step explanation
Step-by-step explanation:
Can someone help me? It's urgent and thank you!
Answer:
35
Step-by-step explanation:
To find this, we are going to use the combination formula as follows;
nCr = n!/(n-r)!r!
In this case, n = 7 and r = 3
Substituting these values;
7C3 = 7!/(7-3)! 3! = 7!/4!3! = 35
A paper company needs to ship paper to a large printing business. The paper will be
shipped in small boxes and large boxes. Each small box of paper weighs 50 pounds
and each large box of paper weighs 80 pounds. A total of 19 boxes of paper were
shipped weighing 1280 pounds altogether. Determine the number of small boxes
shipped and the number of large boxes shipped.
Answer:
16 boxes large
Step-by-step explanation:
if the weigth is 1280 wilhich means its 1280÷80 =16
Oliver is driving to a concert and needs to pay for parking. There is an automatic fee of $11 just to enter the parking lot, and when he leaves the lot, he will have to pay an additional $3 for every hour he had his car in the lot. How much total money would Oliver have to pay for parking if he left his car in the lot for 3 hours? How much would Oliver have to pay if he left his car in the lot for tt hours?
Answer:
A. 20
B. 11 + 3tt
Step-by-step explanation:
A. 11 + 3(3) = 20
B. 11 + 3(tt)
Use the drop-down menus to correctly relate each pair of numbers
manee help meh son
Answer:
Sorry for the late response, I had to have lunch.
1. >
2. =
3. <
4. >
Step-by-step explanation:
Have a great summer :)
Which values are solutions to the inequality below?
Check all that apply.
x²<=64
O A. 9
O B. 5
O C. -3
O D. -8
O E. -14
O F. 8
Answer:
B and C
Step-by-step explanation:
B is correct because 5² is 25, which is less than 64
C is correct because (-3)² is 9, which is less than 64
Answer:
b c d f
Step-by-step explanation:
-8 ≤ x ≤ 8
Find the exact value of sin2Θ if tanΘ=[tex]\frac{-2\sqrt{5} }{5}[/tex] and 90 < Θ < 180.
Answer:
[tex]sin 2 \theta = \frac{4 \sqrt5}{9}[/tex]
Step-by-step explanation:
Identities used :
[tex]1. sin^2 \theta = 1 - cos^2\theta\\\\2. tan^2 \theta + 1 = sec^2 \theta\\\\3.cos \theta = \frac{1}{sec \theta} \\\\4. sin 2 \theta = 2 sin\theta cos\theta[/tex]
[tex]Given \ tan \theta = -\frac{2 \sqrt5}{5}\\[/tex]
[tex]we \ know \ tan ^2 \theta + 1 = sec^2\theta[/tex]
[tex](-\frac{2 \sqrt 5}{5})^2 + 1 = sec^2 \theta\\\\\frac{4 \times 5}{25 } + 1 = sec^2 \theta \\\\\frac{20 + 25}{ 25} = sec^2 \theta \\\\\frac{45}{25} = sec^2 \theta \\\\sec \theta = \sqrt{ \frac{45}{25}}\\\\sec \theta = \sqrt{ \frac{9 \times 5}{5 \times 5}} \\\\sec \theta = \frac{3 \sqrt {5}}{5}\\\\[/tex]
[tex]We \ know \ cos \theta = \frac{1}{ sec \theta}[/tex]
[tex]So , \cos \theta = \frac{5}{3 \sqrt5}[/tex]
[tex]Next \ sin^2 \theta = 1 - cos^2 \theta[/tex]
[tex]= 1 - (\frac{5}{3 \sqrt5})^2\\\\=1 - \frac{25}{9 \times 5}\\\\=1 - \frac{25}{45}\\\\=\frac{45 - 25}{45}\\\\=\frac{20}{45}\\\\=\frac{4}{9}[/tex]
[tex]sin \theta = \sqrt{ \frac{4}{9}} = \frac{2}{3}[/tex]
[tex]Find \ sin 2 \theta[/tex]
[tex]sin 2 \theta = 2 (sin \theta \times cos \theta)[/tex]
[tex]= 2 \times \frac{2}{3} \times \frac{5}{3\sqrt5}\\\\= \frac{4 \times \sqrt5 \times \sqrt5}{9 \times \sqrt 5}\\\\=\frac{4 \sqrt5}{9}[/tex]
Do you have a step my step answer?
Answer:
In picture
Step-by-step explanation:
Hope I answered it correctly.
Please give me brainliest if it help you, thanks!
Point of intersection Question:
Mike has $9.85 in dimes and quarters. If there are 58 coins altogether,
how many dimes and how many quarters does Mike have? Use the point of intersection to find the answer. Explain how you used a formula to calculate the # of quarters and dimes
Answers:
He has 27 quarters and 31 dimes
=========================================================
Work Shown:
d = number of dimes
q = number of quarters
d+q = 58 since there are 58 coins of only these two types
d = 58-q
10d+25q = 985 .... note that 985 cents is $9.85
10(58-q)+25q = 985 .... replace d with 58-q
580-10q+25q = 985
15q+580 = 985
15q = 985-580
15q = 405
q = 405/15
q = 27 ..... Mike has 27 quarters
d = 58-q
d = 58-27
d = 31 .... Mike also has 31 dimes
-----------
As a way to check:
d+q = 31+27 = 58 so that works out
and
10d+25q = 10*31+25*27 = 310+675 = 985
so that works out as well. The answer is confirmed.
A store sells notebooks for $3 each and does not charge sales tax. If x represents the number of notebooks Adele buys and y represents the total cost of the notebooks she buys, which best describes the values of x and y?
A. The value of x can be any real number, and y will be a real number.
B. The value of x can be any real number greater than or equal to 0, and y will be a real number greater than or equal to 0.
C. The value of x can be any integer, and y will be an integer.
D. The value of x can be any integer greater than or equal to 0, and y will be an integer greater than or equal to 0.
Answer:
Step-by-step explanation:
A?
Convert 23cm2 into mm2
Answer:
2300 mm^2
Step-by-step explanation:
Can anyone find this answer?
Answer:
23,300 students
Step-by-step explanation:
1900 year, 3.7 * 10 ^ 3
3.7 * 10 * 10 * 10 = 3,700
1950 year, 2.7 * 10 ^ 4
2.7 * 10 * 10 * 10 * 10 = 27,000
So then you will subtract 1950 year by the year of 1900
27,000 - 3,700 = 23,300
Someone pleaseee help!!!
8th grade
Answer:
[tex] \frac{1}{1000} [/tex]Step-by-step explanation:
[tex] {10}^{ - 3} [/tex]
[tex] \frac{1}{ {10}^{3} } [/tex][tex] \frac{1}{1000} [/tex]Hope it is helpful...Find the perimeter of the rectangle and the area of the rectangle??
Show all your work please!!!!!
Answer:
Perimeter: 8x+8
Area: 16x+16
Step-by-step explanation:
Combine only like terms
(4x+2) + (4x+2) +2+2= 8x+8
(4x+2) x (4x+2) x 2 x 2= 16x+16
Answer this question ( Steps required ) Please help
9514 1404 393
Answer:
(2ac+1)/(abc+2c+1)
Step-by-step explanation:
It helps to understand the factoring of the numbers involved.
63 = 3²·7
140 = 2²·5·7
The "change of base" formula is also useful.
[tex]\log_b{a}=\dfrac{\log{a}}{\log{b}}[/tex]
__
Using this, we can write ...
a = log(3)/log(2) ⇒ log(3) = a·log(2)
b = log(5)/log(3) ⇒ log(5) = b·log(3) = ab·log(2)
c = log(2)/log(7) ⇒ log(2) = c·log(7)
This lets us write everything in terms of log(7):
log(2) = c·log(7)
log(3) = ac·log(7)
log(5) = abc·log(7)
__
The desired logarithm is ...
[tex]\log_{140}{}63=\dfrac{\log{63}}{\log{140}}=\dfrac{2\log{(3)}+\log{(7)}}{2\log{(2)}+\log{(5)}+\log{(7)}}\\\\=\dfrac{2ac\cdot\log{(7)}+\log{(7)}}{2c\cdot\log{(7)}+abc\cdot\log{(7)}+\log{(7)}}\\\\\boxed{\log_{140}{63}=\dfrac{2ac+1}{abc+2c+1}}[/tex]
_____
The attachment is a numerical check of this result.
whats the answer to this
Answer:
its the 2nd one
hope that helps<3
Answer:
jhkkkhj
Step-by-step explanation:
jkjkjkjkj
need help please!!!
“ALL THE YOUNG DUDES” “CARRY THE NEWSSSS””
Answer:
288 cubic feet
Step-by-step explanation:
add the 3 blocks.
block 1: 12*6*2=12*12=144
block 2: (12-4)*2*6=8*2*6=8*12=96
block 3: (12-4-4)*6*2=4*12=48
add them up:
144+96+48
288 cubic feet
with help of calculator
a + b3 - a ; a = 3, b = 2
Answer:
8
Step-by-step explanation:
a + b^3 - a
Simplify
b^3
Let b=2
2^3
8
Answer:
11
Step-by-step explanation:
If a = 3, and b = 2, then;
=> a + b³
=> 3 + 2³
=> 3 + 8
=> 11
Hope this helps!
Evaluate 5-|-6|
1
11
-1
Step-by-step explanation:
(-) + (-) = (+)
=........ +1
Answer:
-1
Step-by-step explanation:
Find the IQR: (find the median, then find the median of the first group and then the next group. Now subtract big median minus the small median.) 20, 17, 16, 3, 7, 45
Answer:
13
Step-by-step explanation:
The IQR = Interquartile Range is the difference between the first and third quartile
Rearranged data set:
3, 7, 16, 17, 20, 45
Step 1
We find the first quartile = Q1
= 1/4(n + 1)th number
n = 6
= 1/4(6 + 1)th
= 1/4(7)th
= 1 3/4th number
This = 7
Step 2
We find the third quartile = Q3
= 3/4(n + 1)th number
n = 6
= 3/4(6 + 1)th
= 3/4(7)th
= 21/4th number
= 5 1/4 th number
This = 20
Step 3
IQR = Q3 - Q1
= 20 - 7
= 13
Can I get help on this bc if I don’t do it now my math teacher will call my parents
Answer:
39.28cm^2
Step-by-step explanation:
Simple work out the area of a circle and halve it.
3.142xr^2
3.142x5^2 = 78.55 cm^2 (Full circle area)
Now we must halve that answer to get the semicircle.
78.55/2 = 39.275 cm^2
However, we need it to 2dp. Therefore the answer is 39.28cm^2
Three right triangles are drawn in the coordinate plane,
and the coordinates of their vertices are labeled.
For each right triangle, label the lengths of the sides.
Answer:
Triangle A:
- smaller leg = 3
- longer leg = 10
- hypotenuse = 10.4
Traingle B:
- smaller leg = 4
- longer leg = 13
- hypotenuse = 13.6
Triangle C:
- smaller leg = 5
- longer leg = 7
- hypotenuse = 8.6
Step-by-step explanation:
Let's find the distance of the legs for the 3 right triangles.
Triangle A
The smaller leg (SL) is from (2,5) to (2,8), so the length is given by the distance in the y-axis:
[tex] SL_{A} = 8 - 5 = 3 [/tex]
Hence, the lenght of the smaller leg is 3.
The longer leg (LL) is from (-8, 8) to (2, 8), so the length is given by the distance in the x-axis:
[tex] LL_{A} = 2 - (-8) = 10 [/tex]
Then, the length of the longer leg is 10.
Now, we can find the hypotenuse (H) by using Pitagoras:
[tex] H_{A} = \sqrt{SL_{A}^{2} + LL_{A}^{2}} = \sqrt{3^{2} + 10^{2}} = 10.4 [/tex]
Triangle B
The SL is from (3, -9) to (7, -9)
The length of the SL is:
[tex] SL_{B} = 7 - 3 = 4 [/tex]
The LL is from (7, -9) to (7, 4)
The length of the LL is:
[tex] LL_{B} = 4 - (-9) = 13 [/tex]
The hypotenuse is:
[tex] H_{B} = \sqrt{4^{2} + 13^{2}} = 13.6 [/tex]
Triangle C
The SL is from (-10, -6) to (-10, -1)
The length of the SL is:
[tex] SL_{C} = -1 - (-6) = 5 [/tex]
The LL is from (-10, -6) to (-3, -6)
The length of the LL is:
[tex] LL_{C} = -3 - (-10) = 7 [/tex]
The hypotenuse is:
[tex] H_{C} = \sqrt{5^{2} + 7^{2}} = 8.6 [/tex]
I hope it helps you!
Can someone pls help me???
a) Two angles are said to be complementary if their sum is equal to 90°
Given : 2x and 4x are complementary angles
⇒ 2x + 4x = 90°
⇒ 6x = 90°
⇒ x = 15°
Answer: The two angles are : 30° and 60°
b) Two angles are said to be supplementary if their sum is equal to 180°
Given : x and 5x are supplementary angles
⇒ x + 5x = 180°
⇒ 6x = 180°
⇒ x = 30°
Answer: The two angles are : 30° and 150°
c) Two angles are said to be complementary if their sum is equal to 90°
Given : x and x + 50° are complementary angles
⇒ x + x + 50° = 90°
⇒ 2x = 40°
⇒ x = 20°
Answer: The two angles are : 20° and 70°
d) If two angles form a linear pair, then the sum of the angles should be equal to 180°
Given : 2x + 10° and 3x + 10° form a linear pair
⇒ 2x + 10° + 3x + 10° = 180°
⇒ 5x = 160°
⇒ x = 32°
⇒ 2x + 10° = 2(32) + 10° = 74°
⇒ 3x + 10° = 3(32) + 10° = 106°
Answer: The two angles are 74° and 106°
answer all the questions, just the answers, it's pythagorean theorem, plssss helpppp
Answer:
1. option c
2. option b
3. option b
Step-by-step explanation:
1 . option C
Square of longer side = sum of squares of other side
a)
5, 6 , 11
[tex]121 = 25 + 36\\does\ not \ satisfy[/tex]
b)
9, 12, 16
[tex]256 = 144 + 81\\Does\ not \ satisfy[/tex]
c)
7, 24, 25
[tex]625 = 576 + 49\\Does\ satisfy[/tex]
d)
12, 20, 25
[tex]625 = 400 + 144\\does \ not \ satisfy[/tex]
2. Option B
Square of longer side = sum of squares of other side
15 ² = 8 ² + r²
225 = 64 + r²
161 = r²
r = 12.688
r = 13ft
3 . Option b
To find length of AB, Use distance formula
[tex]AB = \sqrt{(x_2- x_1)^2 + (y_2 - y_1)^2}[/tex]
[tex]= \sqrt{(14-3)^2 + (6-1)^2}\\\\=\sqrt{11^2 + 5^2}\\\\=\sqrt{121 + 25}\\\\= \sqrt{146} \\= 12 \ ft[/tex]
What are the 3 types of transformations?
Horizontal translations, vertical translations, and _____
Answer:
Compressions
Step-by-step explanation:
The third type is compressions
2160 as a product of its prime factors using indices
Answer:
2⁴ × 3³ × 5
Step-by-step explanation:
By prime factorisation,
→ 2160 = 2 × 2 × 2 × 2 × 3 × 3 × 3 × 5
→ 2160 = 2⁴ × 3³ × 5
i would like help in this question
Answer:
T = 3.5m
T is trash in pounds
m is members of family
Step-by-step explanation:
A
B
С
D
If mZACD = 70°, then mZBCD = [? ]°
Answer:
35 is correct
Step-by-step explanation:
hope this helps.
Answer:
35°
Step-by-step explanation:
Angle ACD is 70°. The little tick marks on the angle mean both sides of the split are the same amount. This means if you divide the angle in half, you will find out what both of them are equal to.
