The diagram below shows some measurements taken from a new bridge. How long is the bridge?
feet
Answer:
1,737.3 feet
Step-by-step explanation:
Let's assume the length of the bridge consists of 2 right triangles as shown in the diagram. Use pythagorean theorem to find the other missing leg of each right triangle.
Let the missing leg for each triangle be x and y respectively.
Length of bridge = x + y
✔️x = √(1115² - 860²) = √503,625
x ≈ 709.7 (nearest tenth)
✔️y = √(1340² - 860²)
y ≈ 1,027.6 (nearest tenth)
✔️ Length of bridge = 709.7 + 1,027.6 = 1,737.3 ft
A consulting firm has bid on two projects, A and B. The probability of landing A is 0.70. The probability of landing B is 0.60. The probability of landing both is 0.50.
What is the probability of landing A given it lands B?
Given:
The probability of landing A is 0.70.
The probability of landing B is 0.60.
The probability of landing both is 0.50.
To find:
The probability of landing A given it lands B.
Solution:
We have,
[tex]P(A) = 0.70[/tex]
[tex]P(B) = 0.60[/tex]
[tex]P(A\cap B) = 0.50[/tex]
The probability of landing A given it lands B is
[tex]P\left(\dfrac{A}{B}\right)=\dfrac{P(A\cap B)}{P(B)}[/tex]
[tex]P\left(\dfrac{A}{B}\right)=\dfrac{0.50}{0.60}[/tex]
[tex]P\left(\dfrac{A}{B}\right)=\dfrac{5}{6}[/tex]
[tex]P\left(\dfrac{A}{B}\right)=0.8333...[/tex]
[tex]P\left(\dfrac{A}{B}\right)\approx 0.83[/tex]
Therefore, the probability of landing A given it lands B is about 0.83.
These tables show equivalent ratios. The value missing in each table is replaced with X. Choose ALL tables in which 12 replaces X.
(please answer)
POINT:15
Answer:
a
Step-by-step explanation:
Answer:a and b
Step-by-step explanation:
Please help me to find out this question .This question is from chapter simple Interest
PRINCIPLE=₹2630
RATE=8%
TIME=2 1/Fund the S.I and amount
Answer:
The simple interest is of 526.
The total amount is 3156.
Step-by-step explanation:
Simple Interest
This is a simple interest problem.
The simple interest formula is given by:
[tex]E = P*I*t[/tex]
In which E is the amount of interest earned, P is the principal(the initial amount of money), I is the interest rate(yearly, as a decimal) and t is the time.
After t years, the total amount of money is:
[tex]T = E + P[/tex]
In this question, we have that:
[tex]P = 2630, I = 0.08, t = 2.5[/tex]
The simple interest is:
[tex]E = P*I*t = 2630*0.08*2.5 = 526[/tex]
The simple interest is of 526.
The total amount is:
[tex]T = E + P = 2630 + 526 = 3156[/tex]
The total amount is 3156.
Question 4 of 10
In each family of functions, the
the family
function is the most basic function in
O A simple
O 8. parent
O c. quadratic
O D linear
Answer:
In each family functions, the parent function is the most basic function in the family.
In each family of functions, the parent function is the most basic function
How to complete the blank?A linear function is represented as:
y = mx + b
A quadratic function is represented as:
y = ax^2 + bx + c
The above and others of similar formats are the most basic of their families, and they are referred to as the parent function
Read more about parent function at:
https://brainly.com/question/17079244
#SPJ6
PLS HELP!!! What is the total surface area of the square pyramid whose net is shown below?
400 in^3
1200 in^3
800 in^3
1600 in^3
Answer:
(20×20)+(2×20×30)
400+1200
1600inches^2
Answer:
1600 in^2
Step-by-step explanation:
We only have to add the areas of one square in the centre and 4 surrounding triangles.
area of the square=20×20=400 in^2
area of one triangle=1/2×20×30=300 in^2
area of four triangles=4×300=1200 in^2
So, total surface area of the square pyramid=400+1200=1600 in^2
*The units given should be in^2.
10 points pls answer ASAP
Answer:
145
Step-by-step explanation:
Its the opposite angle of 145
solve 2x = 1/32
1/5
5
-5
use the table to predict the number of times you spin 5 when you spin the spinner 100 times
Answer:
14
Step-by-step explanation:
Add all values in "Times spun".
9 + 11 + 7 + 9 + 7 + 7
= 50
The spinner was spun a total of 50 times in the table.
We are looking for information if the spinner is spun 100 times, which is double of 50.
To predict information for spinning 100 times, double the data given in the table.
# of times "5" was spun for 50 spins (in table): 7
Double 7:
7 * 2 = 14
# of times "5" will likely be spun for 100 spins: 14
Or, solve using proportions:
The proportions are given in: (times "5" was spun)/(total spins)
[tex]\frac{7}{50} = \frac{?}{100}[/tex]
Since you double 50 to make 100, double 7 to solve for "?"
[tex]\frac{7}{50} = \frac{14}{100}[/tex]
∴ if you spin the spinner 100 times, you will spin "5" 14 times.
Answer:
14
Step-by-step explanation:
7 * 2 = 14
need help badly geometry question :(
Answer:
D. 13.02
Step-by-step explanation:
Apply trigonometric function to find the height (h) of the wall.
Reference angle = 40°
Hypotenuse = 17 ft
Adjacent = h (height of the wall)
Apply CAH:
Cos 40 = Adj/Hyp
Cos 40 = h/17
17*Cos 40 = h
13.0227555 = h
h ≈ 13.02 ft
The midpoints of the hexagon are connected to form another hexagon, this pattern continues indefinitely. If the area of the 99th hexagon formed by this pattern is 1, what is the area of the original hexagon?
Answer:
(4/3)⁹⁸ units²Step-by-step explanation:
Regular hexagons have a property that cutting off the triangles obtained by joining the midpoints of consecutive sides leaves a hexagon of 3/4 of the area.This means the area of each hexagon inside out starting from the one with unit area is 4/3 of the previous one.
99 ⇒ 198 ⇒ 1*4/397 ⇒ 1*(4/3)²...1 ⇒ (4/3)⁹⁹⁻¹The original hexagon has the area of:
(4/3)⁹⁸ units²Answer:
(4/3)^98units.
Step-by-step explanation:
By hexagonal property in which cut off the triangles obtained be the joining of m.p of adjacent sides which left 3/4 of total area.
11 times the sum of 8 and 14, divided by 5
Answer:
See below, please!
Step-by-step explanation:
[tex]\frac{11(8+14)}{5}[/tex]. Use PEMDAS. Sum of 8 and 14 is 22, multiply that by 11, and then divide by 5. Your answer is 48.4.
Hope this helped!
64 Books on 4 Shelves how maany books per Shelf?
Answer:
256
Step-by-step explanation:
Answer:
16 is the answer because 64/4 is 16 so 16*4 is 64 meaning that there are 16 books on each shelf
Step-by-step explanation:
hope this helped
Jill wants to solve the following system using the elimination method:
Y = X + 8
y = 3x - 11
What number should the equation = x + 8 be multiplied by to eliminate x?
3
Answer:
3
Step-by-step explanation:
y= x + 8..... (1)
y= 3x - 11..... (2)
y - x = 8..... (3)
y - 3x = -11..... (4)
eliminating x:
(3) × 3: 3y - 3x = 24 ........ (5)
(4) × 1: y - 3x = -11 ......... (6)
(5) - (6): 2y = 35
Divide both sides by 2, therefore, y = 17.5
substitute the value of y into (3)
y - x = 8
17.5 - x = 8
17.5 - 8 = x
9.5 = x
I hope it'll help
HELP MEEE 5(−4) = 15-4x
Answer:
8.75
Step-by-step explanation:
Suppose that P(n) is a propositional function. Determine for which improper subset of the domain of n the statement P(n) must be true if a) P(0) is true; for all nonnegative integers n, if P(n) is true, then P(n 2) is true. b) P(0) and P(1) are true; for all nonnegative integers n, if P(n) and P(n 1) are true, then P(n 2) is true
Answer:
a) P(n) is true for all 'n' in the set ; { 0,2,4,6,8 ….. }
b) P(n) is true for all 'n' in the set ; { 0,1,2,3,4,5 ............ }
Step-by-step explanation:
a) As P(0) is true
we will assume that
P(2) is trueP(4) is true P(6) is truethis simply means that ; P(n) is true for all 'n' in the set
{ 0,2,4,6,8 ….. }
b) since P(0) and P(1) are true
we will assume that
P( 0+2 ) = P(2) is truealso P(1) and P(2) are true
we will assume that
P(1+2) = P(3) is trueAlso from the previous answers it can be seen that P(2) + P(3) is true
we will assume
P(2+2) = P(4) is trueThis simply means that P(n) is true for all 'n' in the set
{ 0,1,2,3,4,5 ............ }
The sum of two numbers is 3472.
one of the numbers is 1968.
find the other number
Answer:
1504
Step-by-step explanation:
3472-1968=1504
CHECK
1968+1504=3472
Can someone help me? I'll reward points + brainalist
If i put a 100$ into the stock market and the stock market increase by 2% per year. how much money would i have after a year
Answer:
$102
Step-by-step explanation:
2% of $100 = 0.02 * $100 = $2
The increase is $2.
$100 + $2 = $102
Answer: $102
Answer:
100 x 0,2 x 1 year(12/12 months)
=$102 after a year
Giving brainliest and 30 points!!!
The table shows the balance of a money market account over time. Write a function that represents the balance in y (dollars) after t years
Answer: y = 200·1.15^t
Step-by-step explanation:
The ratio from one year to the next is 1.15, so the balance is a geometric sequence. Since t starts at zero, we can write the balance (y) after t years as
y = initial value · (common ratio)^t
y = 200·1.15^t
Jamie has 3 dogs, 4 cats, 2 lizards and 2 sisters. He wants to find the
percent of his pets that are lizards. Classify each statement as true or
false based on the information. *
True
False
The number of sisters is not
needed to find the percent of
pets that are lizards.
O
To find the percent of pets
that are lizards, 2 is the part
and 11 is the whole
ооо.
To find the percent of pets
that are lizards, 2 is the part
and 9 is the whole
Find the indicated function values for the following function:
f(x) = 2x² - 3x + 4
7. f(-2) =
a. 18
b. 2
C. 6
d. none of the above
Answer:
7. A
8. C
Step-by-step explanation:
7. 2(-2)^2 - 3(-2) + 4 = 18 (A.)
8. 2(3a)^2 - 3(3a) + 4 = C
A bag contains pennies, nickels, dimes, and quarters. There are 50 coins in all. Of the coins, 16% are pennies and 40% are dimes. There are 5 more nickels than pennies. How much money does the bag contain?
Answer:
$4.98
Step-by-step explanation:
50*16%=8 (pennies), 50*40%=20 (dimes)
8+5=13 (nickels), 50-(8+20+13)=9 (quarters)
So the money in total is 8*0.01+20*0.1+13*0.05+9*0.25=$4.98
ANSWER: $4.98
Steps for pennies:
1.) 50 * .16 = 8
8 pennies out of 50 coins
2.) 1 cent * 8 = 8 cents
Steps for dimes:
1.) 50 * .40 = 20
20 dimes out of 50 coins
2.) 10 cents * 20 = 200 cents = $2
Steps for nickels:
1.) 8 + 5 = 13
13 nickels out of 50 coins
2.) 5 cents * 13 = 65 cents
Steps for quarters:
1. 8 + 20 + 13 = 41
2. 50 - 41 = 9
3. 9 * .25 = $2.25
FINAL STEP:
8 cents + $2 + 65 cents + $2.25 = $4.98
ANSWER: the bag contained $4.98
*to change a percentage into a decimal move the decimal point 2 places to the left. Ex.) 50% > 50. > .50
50% = .50
Sofia is 4 years younger than Mark. David is 7 years older than Mark. How old will Sofia be when David is 30 years old? please answer
Answer:
Sofia will be 19 years old
Step-by-step explanation:
First:
What know that David is 30 right now.
David=30
We also know that David is 7 years older than Mark, meaning that David-7=Mark
30-7=23 -Mark
And last we know that Mark is 4 years older than Sofia So we would do 23-4 to get Sofia age,
23-4=19 -Sofia
So in conclusion...
SOFIA: 19
MARK: 23
DAVID: 30
A box of corn flakes has a square base with sides that measure 7 centimeters in length and the height of the box is 20 centimeters. If V represents the volume of the box, what is the maximum volume of corn flakes this box can hold?
A. 900
B. 925
C. 950
D. 980
Answer:B
Step-by-step explanation:
Answer:
its B
Step-by-step explanation:
Simplify lol (5) 9+ lo (5) 21-lo (5) 7
Given:
Consider the given expression is
[tex]\log_59+\log_521-\log_57[/tex]
To find:
The simplified form of the given expression.
Solution:
We have,
[tex]\log_59+\log_521-\log_57[/tex]
It can be written as
[tex]=\log_5(9\times 21)-\log_57[/tex] [tex][\because \log_ax+\log_ay=log_a(xy)][/tex]
[tex]=\log_5\dfrac{9\times 21}{7}[/tex] [tex][\because \log_ax-\log_ay=log_a\dfrac{x}{y}][/tex]
[tex]=\log_5(9\times 3)[/tex]
[tex]=\log_527[/tex]
Therefore, the simplified form of the given expression is [tex]\log_527[/tex].
X^(2)+8=5 exponent of variable in this equation is
Answer:
The exponent of the variable of this equation is 2.
And here's the solution to the equation:
[tex]x^{2} +8=5[/tex]
[tex]x^{2} = 5 - 8[/tex]
[tex]x^{2} = -3[/tex]
[tex]x[/tex] ∉ R
GEOMETRY
PLEASE HELP
PICTURE INCLUDED
Answer:
x = 25°
Step-by-step explanation:
3x + 30 + 2x + 3x + 30 + 4x = 360° (a full circle contains 360°)
12x + 60° = 360°
12x = 300°
x = 25°
4(A) The table given shows the change in price in a sale.
TV
Laptop
Normal
Dhs 2000
Dhs 1800
price
Sale price
Dhs 1750
Dhs 1440
(a) Calculate the percentage increase or decrease for
(0) TV and
) Laptop
(b) Which item has the best reduced price?
Cho can anyone help me
Answer:
(a)
[tex]\%Decrease= 12.5\%[/tex] --- TV
[tex]\%Decrease= 20\%[/tex] --- Laptop
(b) Laptop
Step-by-step explanation:
Given
Normal Sales
[tex]TV = 2000[/tex] [tex]TV = 1750[/tex]
[tex]Laptop = 1800[/tex] [tex]Laptop = 1440[/tex]
Solving (a): Percentage increase of decrease for both
Percentage change is calculated as:
[tex]\%Change = \frac{New - Old}{Old} * 100\%[/tex]
For TV
[tex]\%Change = \frac{1750 - 2000}{2000} * 100\%[/tex]
[tex]\%Change = \frac{-250}{2000} * 100\%[/tex]
[tex]\%Change = -0.125* 100\%[/tex]
[tex]\%Change = -12.5\%[/tex]
It is a decrease because it is negative
[tex]\%Decrease= 12.5\%[/tex]
For Laptop
[tex]\%Change = \frac{1440 - 1800}{1800} * 100\%[/tex]
[tex]\%Change = \frac{-360}{1800} * 100\%[/tex]
[tex]\%Change = -0.2* 100\%[/tex]
[tex]\%Change = -20\%[/tex]
It is a decrease because it is negative
[tex]\%Decrease= 20\%[/tex]
Solving (b):
Laptop has the best reduced price because it has a larger percentage decrease
What is the ratio of 18 inches to 1 yard? (Change 1 yard to 36 inches before writing the ratio)
Answer:
1:2
Step-by-step explanation:
18 inches to 1 yard
We need to convert 1 yard to 36 inches
18 inches : 36 inches
Divide each side by 18
18/18 : 36/18
1:2