Answer:
[tex]842\ \text{ft}[/tex]
[tex]y(t)=906-16t^2[/tex]
Step-by-step explanation:
Let [tex]y[/tex] be the height the object from the ground.
[tex]s[/tex] be the initial height of the object = 906 ft
[tex]u[/tex] = Initial velocity = 0
[tex]g[/tex] = Acceleration due to gravity = [tex]32\ \text{ft/s}^2[/tex]
[tex]t[/tex] = Time
The expression would be
[tex]y(t)=s-ut-\dfrac{1}{2}gt^2\\\Rightarrow y(t)=906-16t^2[/tex]
The required expression is [tex]y(t)=906-16t^2[/tex]
At [tex]t=2\ \text{s}[/tex]
[tex]y(2)=906-16\times 2^2\\\Rightarrow y(2)=842\ \text{ft}[/tex]
The height of the object after 2 seconds of falling is [tex]842\ \text{ft}[/tex].
What is the area of the trapezoid?
9 yd
8 yd
13 yd
Answer:
area = 88 yd²
Step-by-step explanation:
area = 1/2(b1 + b2)h = 1/2(9 + 13)(8) = 88 yd²
Answer:
88 yd^2.
Step-by-step explanation:
Area of a trapezoid = 1/2 * h * (a + b) where h = height, a and b are lengths of 2 parallel side.
Area = 1/2 * 8(9+13)
= 4 * 22
= 88 yd^2.
find the surface area/volume for each
Answer:
goodjob
Step-by-step explanation:
M<1 and m<2 are vertical angles if m<1 = 106° and M<2 equals 20x - 14 find M<2
Answer:
Answer:
m∠2= 86
Step-by-step explanation:
since they are vertical angles, that means they are both equal to eachother.
so lets set them equal!
17x+1=20x-14
17x+15=20x
15=3x
x=5
now input x into m∠2
m∠2 = 20(5) – 14 = 86
Step-by-step explanation:
Trisha borrowed money from her mom to buy a skateboard plus safety gear. She paid back a little bit of money every week.
After 3 weeks she owed her mom $281. After 8 weeks, she owed her mom $166. Let y represent the amount she owes her mom and x represent the number of weeks she has been paying her debt.
Write an equation in slope-intercept form to represent how much she owes her mom after x weeks.
y=
How much money is Trisha paying her mom each week? $
How long will it take Trisha to pay off her debt?
weeks (answer in whole weeks)
Answer:
y==$281+$166=$447
in 11 weeks she pay $ 447
in 1 weeks she pay $447/11=40.6$
she paid off in 3+8=11 weeks
I am not sure
Answer:
Thanks for the points it feels really nice to help others
Step-by-step explanation:
f varies inversely as the square of d. When d=2, f = 6. Find d when f is 1.5
Answer:
d = 4
Step-by-step explanation:
Given f varies inversely as d² then the equation relating them is
f = [tex]\frac{k}{d^2}[/tex] ← k is the constant of variation
To find k use the condition when d = 2, f = 6 , then
6 = [tex]\frac{k}{2^2}[/tex] = [tex]\frac{k}{4}[/tex] ( multiply both sides by 4 )
24 = k
f = [tex]\frac{24}{d^2}[/tex] ← equation of variation
When f = 1.5 , then
1.5 = [tex]\frac{24}{d^2}[/tex] ( multiply both sides by d² )
1.5d² = 24 ( divide both sides by 1.5 )
d² = 16 ( take the square root of both sides )
d = [tex]\sqrt{16}[/tex] = 4
Harriet is cultivating a strain of bacteria in a petri dish, she has 10^3 bacteria in the dish. The bacteria divided every two hours such that the number of bacteria has doubled by the end of every second hour. How many bacteria will Harriet have in the dish at the end of 6 hours?
Answer:
4000
Step-by-step explanation:
A=P(2)^(t/d)
A=future amount
P=starting amount
t=time elapsed
h=doubling time
given
P=10^3
t=6
d=2
A=10^3(2)^(6/2)
A=10^3(2)^2
A=10^3(4)
A=4*10^3
A=4000
4000 bacteria
If the sin of an angle is the same as the cos of a second angle, then the two angles are
a) complementary
b) right
c) supplementary
d) congruent
Answer:
Congruent Step-by-step explanation:
b
Step-by-step explanation:
Solve for side c and round to the nearest tenth
Answer:
c
Step-by-step explanation:
Using the tangent ratio in the right triangle
tan64° = [tex]\frac{opposite}{adjacent}[/tex] = [tex]\frac{BC}{AB}[/tex] = [tex]\frac{11}{c}[/tex] ( multiply both sides by c )
c × tan64° = 11 ( divide both sides by tan64° )
c = [tex]\frac{11}{tan64}[/tex] ≈ 5.4 ( to the nearest tenth )
tell me 3 mathematical things that you know in relation to geometry
Answer:
Dilations which reduce or enlarge an object. Translations which move the object from one part on the graph to another. I have also learned about how to construct a perpendicular bisector.
Step-by-step explanation:
====================================
Geometry is a branch of mathematics that studies the sizes, shapes, positions angles and dimensions of things.====================================
--> Actually, Flat shapes like squares, circles, and triangles are a part of flat geometry and are called 2D shapes.
These shapes have only 2 dimensions, the length and the width.
( based on what i know )
I WILL GIVE BRAINLIEST!!!
Answer:
C
Step-by-step explanation:
The area is calculated as width × length , that is
[tex]\frac{50\sqrt{3} }{\sqrt{2} }[/tex] × [tex]\frac{80\sqrt{5} }{\sqrt{3} }[/tex] ( cancel [tex]\sqrt{3}[/tex] on numerator/ denominator
= [tex]\frac{50}{\sqrt{2} }[/tex] × 80[tex]\sqrt{5}[/tex]
= [tex]\frac{4000\sqrt{5} }{\sqrt{2} }[/tex]
To rationalise the denominator multiply numerator/denominator by [tex]\sqrt{2}[/tex]
= [tex]\frac{4000\sqrt{6} }{\sqrt{2} }[/tex] × [tex]\frac{\sqrt{2} }{\sqrt{2} }[/tex]
= [tex]\frac{4000\sqrt{10} }{2}[/tex]
= 2000[tex]\sqrt{10}[/tex] → C
Answer: The answer is C!
Step-by-step explanation:
Hope this helps, can I please have brainliest?
7. Find CE.
X-50
B
D
2x + 3
E
Answer:
15x is the answer ihope this helps:j
In the last 4 seasons, Luis scored 14,18, 15, and 25 goals. How many goals does he need to score this year, to end the season with an overall average of 20 goals per season? O A. 29 O B. 27 O C. 30 O D. 28
Answer:
28
Step-by-step explanation:
For Luis to get a mean of 20 he would need:
14 + 18 + 15 + 25 + x (unknown number of goal he needs) / 5 = 20
Therefore 14 + 18 + 15 + 25 + x = 100
Solve for x to get 28
Find the area of a pizza with
a 16 in. diameter. If there
are 8 slices, how many sq. in.
is one slice?
Answer:
area of whole pizza = 200.96 in²
area of slice of pizza = 25.12 in²
Step-by-step explanation:
16"/2 = 8" radius
area = πr² = (3.14)(8²) = 200.96 in²
200.96 in²/8 = 25.12 in²
Line segment t and line segment r are parallel. Both line segments are reflected across the y-axis to form line segments t' and r'.
Enter the distance, in units, between line segments t' and r'.
units
Answer:/
I,,,,M SORRYI NEED POINTSSS
Step-by-step explanation:
Need help so confusing whats the answer
no spam
Answer:
Volume of the cone V》1570 cm^3
Volume of the hemisphere V》4186.67cm^3
Volume of the entire figure V》5756.67cm^3
hope it helps...
hope it helps...have a great day !!
I honestly have no clue how to do this
Answer:
Angle 1: 95 degrees
Angle 2: 85 degrees
Angle 3: 95 degrees
Step-by-step explanation:
Vertical angles are opposite and equal so in this case angle 1 and 3 are vertical and so are 2 and 85°
So that means angle 2 also equals 85 degrees and because of supplementary angles the other angle must add up to equal 180 degrees
85 + ? = 180
?=95
So both angle 1 and 3 equal 95 degrees
11. Write and solve and solve an equation to find the measure of
Answer:
39
Step-by-step explanation:
29+112= 141 180-141=39
Simplify.
410
44
QU
4-6
Ob
16
ос
44
Od
46
ID
Don't know
Answer:
4⁶
Step-by-step explanation:
10 - 4 = 6
Can someone help me with this. Will Mark brainliest.
Answer:
y - 9 = -3/2 (x - 6)
Step-by-step explanation:
Equation of line: 4x - 6y - 15 = 0
Equation of perpendicular line: bx - ay + k = 0
= -6x - 4y + k = 0 → (equation 1)
Since the equation passes through (6,9)
-6(6) - 4(9) + k = 0
-36 -36 + k = 0
-72 + k = 0
k = 72
Substituting the value of in equation 1,
∴ Equation of perpendicular line = -6x -4y + 72 = 0
dividing by -2,
3x + 2y - 36 = 0
This equation is the simplified version of Option 1.
y - 9 = -3/2 (x - 6)
y - 9 = (-3x + 18)/2
2y - 18 = -3x + 18
3x + 2y - 36 = 0
can anyone help me on this? thank u,, brainliested :))
Answer:
Put a pretend dot at number 2 and number -4, then since the line is undefined, it will simply be vertical and look like this:
Change the subject from y to x
y = (2x + 1)/(3x + 4)
y(3x + 4) = (2x + 1)
3xy + 4y = 2x + 1
4y - 1 = 2x - 3xy
4y - 1 = x(2 - 3y)
x = (4y - 1)/(2 - 3y) , answer = E
What is the amplitude of the function f(x)= 6sin(3x)?
Answer:
6
Step-by-step explanation:
The function is of the form
y =a f(bx) where |a| is the amplitude and b is the frequency
y = 6 sin (3x)
The amplitude is |6| = 6
Solve for X (In the Diagram)
Hope y'all are having a good day!!
Answer:
C: 10
Step-by-step explanation:
I multiplied the two of them. And that triangle is 90 degrees
Help me please please
Is 1.4, 4.8, 5 a right triangle?
Answer:
Yes it is possible
Step-by-step explanation:
How long is side c ?
Answer:
you do pythagorean theorem
Step-by-step explanation:
the base is 8 and the side length is 6 so you do 8²+6²
8²=64 +6²=36
64+36=100 you have to square 100 which is 10
C=10
Write a real world problem for: 80-3x=53
Answer:
Sam had 80 dollars in his pocket. He was feeling generous, so he handed out equal amount of money to each of his friends. After he handed out the money, he had 53 dollars left. How much did Sam give out to each one of his friends?
Step-by-step explanation:
In this real-world problem, the money he had at the beginning resembles the 80 in the equation. The -3x is the money he gives out to each of his friends. The 53 on the right-hand side is the money he has left after he gives the money away.
PLEWhat is the simplified form of
V45?
A. v5
B. 9.5
C. 3V5
D. 573
CAN SOMEONE PLEASE HELP I WILL GIVE 50 POINTS
Answer:
yes I will help you just give the question
find the value of given expression
[tex] \sqrt{258 \times 258} [/tex]
Answer:
258
Step-by-step explanation:
Simplify the radical by breaking the radicand up into a product of known factors, assuming positive real numbers.
Answer:
√{258×258}=√258²=258 is your answer