Answer:
5
Step-by-step explanation:
Pythagorean Theorem. The 13-meter ladder is leaning against a wall, so it's the hypotenuse.
It reaches 12 meters up, so 12 is one leg.
[tex]a^{2} +b^{2}=c^{2}[/tex]
[tex]a^{2}+12^{2}=13^{2}[/tex]
[tex]a^{2}+144=169[/tex]
[tex]a^{2}=25[/tex]
a = 5
An object is dropped from a bridge and allowed to freefall to the ground. The height of the object over time can be modeled using h(t) = 144 – 16t2.
Answer:
3 seconds
Step-by-step explanation:
Complete question:
An object is dropped from a bridge and allowed to freefall to the ground. The height of the object over time can be modeled using h(t)=144-16t2. How many seconds will it take the object to reach the ground? 2 seconds 3 seconds 9 seconds 16 seconds
Given the height of an object modelled by the expression;
h(t)=144-16t²
The object will reach the ground when h(t) = 0
Substitute into the formula
0 = 144 - 16t²
-144 = -16t²
144 = 16t²
Swap
16t² = 144
t² = 144/16
t² = 9
Square root both sides
√t² = ±√9
t = ±3secs
Since the time cannot be negative, hence the object will reach the ground 3 seconds after
Can someone pleaseeee helppp i dont know how to do this
Answer:
C=3e
Step-by-step explanation:
Slope=
A cat is stuck in the tree and the fire department needs a ladder to rescue the cat. The fire truck available has a 95-foot ladder, which starts 8 feet above ground. Unfortunately, the fire truck must park 75 feet away from the tree. If the cat is 60 feet up the tree, does the cat get rescued? If not, what ladder length is need to allow the cat to be rescued?
Group of answer choices
A. No because an 117-foot ladder is needed but the truck has only a 95-foot ladder.
B. No because an 96-foot ladder is needed but the truck has only a 95-foot ladder.
C. Yes because only a 75-foot ladder is needed and the truck has a 95-foot ladder.
D. Yes because only a 91-foot ladder is needed and the truck has a 95-foot ladder.
Answer:
I guess the ans d is correct because using pythagoras theorem we get 91.26 ft .
Alex and Jack work for a computer software company. Alex can write a computer program in 24 hours, while
Jack can write it in 16 hours. How long will it take them to write the program together?
Alex and Jack work for a computer software company. Alex can write a computer program in 24 hours, while
Jack can write it in 16 hours. How long will it take them to write the program together?
Answer: 9.6 hours
Find the value of x in the picture below. (round to nearest tenth if needed) THANK YOU FOR HELPING ME:)
Answer:
it does not form a triangle
Step-by-step explanation:
brainliest give me pls pls pls
Answer:
It forms a obtuse triangle
Step-by-step explanation:
Because two sides are the same.
hi please help i’ll give brainliest
Answer:
Choice D
Step-by-step explanation:
I believe that it is Choice D. Due to the fact that the moons orbit around Earth is inclined around 5 degrees, not allowing an eclipse to happen every New or Full Moon. Most of the time, the Sun, Earth, and Moon don't line up precisely enough to cause an eclipse.
Rewrite the expression in the form x^n
Answer:
[tex]x^{\frac{5}{3} }[/tex]
Step-by-step explanation:
[tex]\frac{2}{3} *\frac{5}{2} \\\\\frac{5}{3}[/tex]
Which equation represents a line that passes through the two points in the
table?
A. y-3 = 2/3(x-3)
B. y+3 = 3/2(x+3)
C. y-3 = 3/2(x-2)
D. y+3 = 2/3(x+3)
Suppose you toss a coin and will win $1 if it comes up heads. If it comes up tails, you toss again. This time you will receive $2 if it comes up heads. If it comes up tails, toss again. This time you will receive $4 if it is heads. Continue in this fashion for a total of 10 flips of the coin, after which you receive nothing if it comes up tails. What is the mathematical expectation for this game?
Answer:
5
Step-by-step explanation:
The winnings are in G.P. : 1, 2, 4, ..... till 10 toss.
[tex]$a_n = 1 \times 2^{n-1}\ \ \ \forall \ n = 1,2,3,4,....,10$[/tex]
[tex]$a_n$[/tex] denotes the winnings on the [tex]$n^{th}$[/tex] toss.
The probability of earning amount [tex]$a_n$[/tex] on the [tex]$n^{th}$[/tex] toss is = [tex]$\left(\frac{1}{2}\right)^n$[/tex]
∴ [tex]$E(X) = \sum_{n=1}^{10} \ a_n \times \left(\frac{1}{2}\right)^n $[/tex]
[tex]$=\sum_{n=1}^{10} \ 1 \times \frac{2^{n-1}}{2^n} $[/tex]
[tex]$=\sum_{n=1}^{10} \ \frac{1}{2}$[/tex]
Sum of the 1st n terms of the A.P. is :
[tex]$=\frac{n}{2}[2a+(n-1)d] $[/tex]
[tex]$=\frac{10}{2}[2\times \frac{1}{2}+(10-1)\times 0] $[/tex]
= 5
Therefore, E(X) = 5
Hence the expected value of the game is 5
Which of the following describes the square root of 41. 5,6 6,7 20,21 40,42
Answer:
6,7
Step-by-step explanation:
the squre root of 41 is 6.403
Myrtle needs to borrow $200 and is hoping to get a paid day loan with an annual percentage rate (ARP) of less than 50%. if a company charges her $30 in fee for the loan, what is the minimum loan term needed that would give Myrtle her desired APR?
A. 90 DAYS
B. 100 DAYS
C. 110 DAYS
D. 120 DAYS
Answer:
110 days :)
hope it help!
Algebra complete the table right the expression that can be used to find the missing value in the second row
A rectangular hall is 55 feet long and 48 feet wide. How long is a walkway along the diagonal?
Answer:
[tex]73[/tex]
Step-by-step explanation:
[tex]73=\sqrt{55^{2} +48^{2} }[/tex]
what is 3x-11 ≥ 7x + 9
Answer:
The answer is x is greater than or equal to -2
Step-by-step explanation:
I just did the math by hand
Answer: x ≤ -5
Step-by-step explanation:
3x - 11 ≥ 7x + 9
3x ≥ 7x + 20
-4x ≥ 20 when dividing negative numbers, change the sign to the opposite.
x ≤ -5
Compare lengths. Select >, <, or = ,
2 km _ 4,000 m
Answer:
2 km < 4,000 m
Step-by-step explanation:
2 km = 2,000 m
Therefore, 2,000 m is less than 4,000 m.
IVE BEEN STUCK ON THIS FOR AN HOUR PLEASE HELP WHAT IS 9.85714285714 X 7
Answer:
69
Step-by-step explanation:
lol
Does anyone know the answer to this and if you do pls give it to me I need it ASAP
Answer:
7,3 if rounded up...
not rounded up..... 7, 3.3????? I think???
Slope-intercept form: y = mx + b
First find the slope : [tex]\frac{rise}{run} = \frac{-1}{3}[/tex]
Slope = -1/3
Now we got y = -1/3x + b
Next find y-intercept. This is where your line crosses the y line (vertical)
Y-intercept = 3
b = 3
Answer: y = -1/3x + 3
find the value of x... assume segments that appear tangent are tangent.
Answer:
x=12
Step-by-step explanation:
a^2 + b^2 = c^2
5^2 + b^2 = 13^2
25 + b^2 = 169
b^2= 144
b=12 Therefore,
x=12
Solve the system of equations using the substitution method.
x-4-5
2x + 3y - 23
Write your solution as an ordered pair:(
Answer:
(7, 3 )
Step-by-step explanation:
Given the 2 equations
x = 4y - 5 → (1)
2x + 3y = 23 → (2)
Substitute x = 4y - 5 into (2)
2(4y - 5) + 3y = 23 , that is
8y - 10 + 3y = 23
11y - 10 = 23 ( add 10 to both sides )
11y = 33 ( divide both sides by 11 )
y = 3
Substitute y = 3 into (1) for corresponding value of x
x = 4(3) - 5 = 12 - 5 = 7
solution is (7, 3 )
WILL GIVE BRAINLIEST FOR BEST ANSWER NO LINKS!!!!*Use the data from the dot plot below to answer the question. The data shows games of a soccer season and the number of goals scored in each game.
Which goals were scored the fewest amount of times during the soccer season?
Question 5 options:
3
0, 7
1, 4, 5, 6
2
0, 7
0 and 7 have the least amount of dots.
5th grade math. correct answer will be marked brainliest
Answer:
3
Step-by-step explanation:
Answer:
3
Step-by-step explanation:
9×[tex]\frac{1}{3}[/tex]
9×1/1×3=
[tex]\frac{9}{3}[/tex]÷3=
3!!!!
Write 6.5.x 10-4
as an ordinary number
Step-by-step explanation:
0.00065
Hope it helps....
Someone please help me the question is up there
Answer:
X= -2, -1, 0, 1
Step-by-step explanation:
X can be all of those
-2 ≤ X - this means that X is greater than -2 or equal
X< 2 - This means X is less than 2
so you find all the # from -2 to 1 because that is the number less than 2 so
-2, -1, 0, 1
Antonio has six white socks, two black socks, and four gray socks in a drawer. If he randomly chooses a sock from the drawer, what is the probability he will choose a gray sock?
A.1/12
B.1/4
C.1/3
D.1/2
Answer:
C
Step-by-step explanation:
The probability is 1/3
please help will give brainlist if its correct
Answer:
I think it's B
Step-by-step explanation:
x = -2
2 + x > -8
2 + -2 > -8
0 > -8
Tell whether the ordered pair is of liner equations (5,-6) 6x+3y=12 4x+y=14
Answer:
The ordered pair is one of the solution to the system of equations. See below.
Step-by-step explanation:
To tell if the ordered pair is the solution to the system of equations or not, we can do by substituting the ordered pair in both equations.
(x, y) = (5,-6)
Substitute x = 5 and y = -6 in both equations.
First Equation
6x+3y=12
6(5)+3(-6)=12
30-18=12
12=12
Second Equation
4x+y=14
4(5)-6=14
20-6=14
14=14
Because both equations have same sides which mean that both equations are true for (5,-6). Therefore (5,-6) is part of the equations.
Find the surface area to the nearest whole number.
Only type in the numerical answer.
Answer:
342
Step-by-step explanation:
Given
Shape: Rectangular prism
The missing dimensions are:
[tex]Length = 5 ft[/tex]
[tex]Width = 6 ft[/tex]
[tex]Height = 12 ft[/tex]
Required
Determine the surface area
The surface area is calculated as:
[tex]Area = 2(Length * Width + Length * Height + Width *Height)[/tex]
This gives:
[tex]Area = 2(5ft* 6ft+ 5ft * 12ft+ 6ft*12ft)[/tex]
[tex]Area = 2(30ft^2+ 60ft^2+ 72ft^2)[/tex]
[tex]Area = 324ft^2[/tex]
Janet's ice cream shop offers a child-size cone
with a single scoop of ice cream. Assume the
scoop of ice cream is a sphere with a volume
of 367 cubic centimeters. Find the diameter of the scoop?
Answer:
turtle biscuit believes in you
Students in an Introductory Statistics class at BYU-Idaho were studying prices of cold cereal at grocery stores in Rexburg. To get a sample of cold cereal prices, they went to Albertson's and rolled a die to decide which box from the left of the top shelf they would start on. They then recorded every 6th cereal after the first, moving from left to right down the shelves, recording the name, size, and price of each cereal in their sample. Is this study an experiment or an observational study, and why
Answer: Observational study
Step-by-step explanation:
The study illustrated in the question is an observational study. It is referred to as an observational study, because in this case, the price of the individual cereals us not being controlled by the students. They've no control over it.
If it was an experiment, there'll have been a control group and the students will have control over the price. Also, the sampling methods used here is a systematic random sampling.
Dr. Jones deposited $500 into an account that ears 6% simple interest. How many years will it take for the value of the account to reach $2000
Answer:
50 years
Step-by-step explanation:
Given data
Principal= $500
Rate= 6%
Amount = $2000
The simple interest expression is given as
A=P(1+rt)
Substitute
2000= 500(1+0.06*t)
open bracket
2000=500+ 30t
2000-500=30t
1500=30t
t= 1500/30
t= 50 years
Hence the time is 50 years
Answer:
50 years
Step-by-step explanation:
Formula for simple interest:
I = Prt
where
I = interest earned
P = principal amount deposited
r = annual interest rate
t = number of years
When the account reaches $2000, $500 is from the principal and
$2000 - $500 = $1500 is from the interest.
We use the simple interest formula to find the number of years needed to earn $1500 in interest from $500 principal at 6% interest rate.
1500 = 500 * 0.06 * t
t = 50
Answer: 50 years