Answer:
Step-by-step explanation:
[tex]Midpoint \left(\dfrac{x_{1}+x_{2}}{2},\dfrac{y_{1}+y_{2}}{2} \right) \\\\\\= \left( \dfrac{-4+(-1)}{2},\dfrac{5+(-4)}{2} \right)\\\\\\= \left( \dfrac{-5}{2},\dfrac{1}{2} \right)[/tex]
Solve.
On a map, 1 inch equals 15.4 miles. If two cities are 3.5 inches apart on the map, how far are they actually apart?
Answer:
They are actually 53.9 miles away.
Step-by-step explanation:
1 in = 15.4 mi
Set up an equation:
Variable x = number of miles
1/15.4 = 3.5/x
Cross multiply:
1 × x = 15.4 × 3.5
x = 53.9
plz help me plz and correctly!!!! only 3 questions plz!!! 100 points
Answer:
Step-by-step explanation:
6)b) Sin A - x Cos A = 0
Sin A = x Cos A
[tex]\dfrac{Sin \ A}{Cos \ A} = x[/tex]
[tex]\dfrac{1}{x}=\dfrac{1}{\dfrac{Sin \ A }{Cos \ A}}=1*\dfrac{Cos \ A}{Sin \ A}=\dfrac{Cos \ A}{Sin \ A}[/tex]
[tex]RHS = x +\dfrac{1}{x}\\\\\\[/tex]
[tex]= \dfrac{Sin \ A}{Cos \ A}+\dfrac{Cos \ A}{Sin \ A}\\\\\\=\dfrac{Sin \ A*Sin \ A}{Cos \ A*Sin \ A}+\dfrac{Cos \ A * Cos \ A}{Sin \ A* Cos \ A}\\\\\\= \dfrac{Sin^{2} \ A}{Cos \ A*Sin \ A}+\dfrac{Cos^{2} \ A}{Cos \ A* Sin \ A}\\\\= \dfrac{Sin^{2} \ A+Cos^{2} \ A}{Cos \ A*Sin \ A}\\\\=\dfrac{1}{Cos \A*Sin \ A}\\\\= \dfrac{1}{Cos \ A}*\dfrac{1}{Sin \ A}\\\\=Sec \ A * Cosec \ A[/tex]
= LHS
7a) 1 - Sin A = 1/2
[tex]1 = \dfrac{1}{2}+ Sin \ A\\\\1-\dfrac{1}{2}=Sin \ A\\\\\dfrac{1}{2}=Sin \ A\\[/tex]
⇒ A = 30°
Sec² A = Sec² 30° = [tex](\frac{2}{\sqrt{3}})^{2}=\frac{2^{2}}{(\sqrt{3)^{2}}}=\frac{4}{3}[/tex]
[tex]tan^{2} \ A = tan^{2} 30 = (\dfrac{1}{\sqrt{3}})^{2} = \dfrac{1}{3}[/tex]
LHS = 6 Sec² A + 9 tan² A
[tex]= 6*\dfrac{4}{3}+9*\dfrac{1}{3}\\\\\\=2*4 + 3*1\\\\\\= 8 + 3\\\\= 11 = RHS[/tex]
A rectangle has a length of 16 inches more than three times its height. If the perimeter of a rectangle is 504 inches, find its dimensions.
The length equals ___ inches and the height equals ___ inches.
Refer to the attachment
Sorry in advance if my handwriting is not good
Hope it helps you
.60p = p-32
How do I subtract P from the right side and then subtract P from .60p?
Answer:
P= -80
Step-by-step explanation:
Make bring p to the other side
.60p-p=32
-.4p=32
p= -32/.4
p=-80
P= -80 Is the final answer
NUMBER 14 PLEASEE AHHH
the correct answer is false
Which product will be rational
Answer:
Option A.
Step-by-step explanation:
A rational number is a number that can be expressed in a fraction (ratio of integers).
Option A is rational since both quantity are rational
Option B is irrational since
[tex]\sqrt{3}\cdot\sqrt{9}=\sqrt{27}[/tex]
where 27 is not a square of any fractions/ integers. Hence, it cannot be expressed as a fraction and is irrational.
Option C is irrational. Note that PI is irrational. Any rational multiples of an irrational number must also be irrational.
Option D is irrational. Similar to Option B.
Help me plsssssssssssssss
Answer:
I think the correct answer to this, (if I'm not wrong), would be D.
Step-by-step explanation:
I hope this helped!! Have a wonderful day and never forget to smile!!
Barb had $55 in her checking account. She spent $12 on makeup and $13 on
socks. How much is in her checking account now?
Answer: Barb now has 30$ left.
Step-by-step explanation:
55-12=43 43-13=30
Write an equation of the line passing through point P that is perpendicular to the given line:
P(6, 0) y=4
Answer:
x=6
Step-by-step explanation:
Answer:
Step-by-step explanation:
This is one of those things that will drive you insane until you understand the answer.
Every y value is 4 no matter what x is.
The perpendicular will meet y = 4 at the point (6,4)
Answer: So the equation has to be x = 6.
The blue line is y = 4
The red line is x = 6
The point of intersection is marked.
The volume of a sphere is 367 ft. What is the radius of the sphere? Use the formula V = ar to find your answer.
Answer:
Answer: Radius is 3 ft
Step-by-step explanation:
Formular:
[tex]{ \boxed{V = \frac{4}{3} \pi {r}^{3} }} \\ [/tex]
substitute:
[tex]36\pi = \frac{4}{3} \pi {r}^{3} [/tex]
multiply all sides by 3:
[tex](36\pi \times 3) = ( \frac{4}{3} \pi {r}^{3} ) \times 3 \\ \\ 108\pi = 4\pi {r}^{3} [/tex]
divide all sides by π :
[tex] \frac{108\pi}{\pi} = \frac{4\pi {r}^{3} }{\pi} \\ \\ 108 = 4 {r}^{3} [/tex]
divide all sides by 4:
[tex] \frac{108}{4} = \frac{4 {r}^{3} }{4} \\ \\ {r}^{3} = 27[/tex]
take a cube root:
[tex] \sqrt[3]{ {r}^{3} } = \sqrt[3]{27} \\ r = \sqrt[3]{(3 \times 3 \times 3)} \\ r = \sqrt[3]{ {3}^{3} } \\ \\ r = 3[/tex]
-3p = p - 1-(p - 6)
my paper is due at 4 and i dont understand this
Answer:
p = -1.66
Step-by-step explanation:
-3p = p - 1 - (p - 6)
-3p = p - 1 - p + 6
-3p = 5
p = 5/-3
p = -1.66
Oliver took a taxi from his house to the airport. The taxi company charged a pick-up
fee of $4.70 plus $4.75 per mile. The total fare was $18.95, not including the tip.
Write and solve an equation which can be used to determine m, the number of miles
in the taxi ride.
Answer:
$4.70 + $4.75m = $18.95 which is 3 miles in total.
Step-by-step explanation:
First make the numbers without the variables on one side.
4.75m = 18.95-4.70
Then subtract.
4.75m = 14.25
Finally divide the two numbers.
14.25 ÷ 4.75 = 3 miles
Answer: m = 3 or 3 miles
Answer:
3 miles
Step-by-step explanation:
Pick up fee = $4.70
Charge = $4.75 per mile therefore this is expressed as 4.75 x m (or 4.75m)
18.95 = 4.7 + 4.75m (add the pick up fee plus fare per mile)
Subtract 4.7 from both sides then divide 4.75 from both sides.
This leaves you with m = 3
You are a space alien. You visit planet Earth and abduct 97 chickens, 47 cows, and il
randomly select one Earth creature from your sample to experiment on Each creature has an equal probability
of setting selected
Create a probability model to show how likely you are to select each type of Earth creature.
Input your answers os fractions or as decimals rounded to the nearest hundredth
Type of Earth creature
Estimated probability
Chicken
Cow
Human
Answer:
Step-by-step explanation:
97+47+77 = 221
At $1.47 per gallon of gas, what is the cost of 15 gallons?
(A) $2.25
(B) $22.50
(C) $22.05
(D) $2,205
(E) $220.50
Answer:
$22.05 (c)
Step-by-step explanation:
$1.47 * 15 gallons = $22.05
Answer:
C) 22.05
Step-by-step explanation:
The answer is 22.05 because if you multiply 1.47 by 15, it equals 22.05.
Hope this helped you, have a nice rest of the day!
Describe this expression using words
3(x + 2)
can someone please help me
eu não falo inglês~........
Two million four hundred sixty-nine thousand five hundred fifty-two standard form
Solve each equation by graphing. Verify your answer algebraically.
2. – X – 3=0
Step-by-step explanation:
2 – X – 3= 0
X = 2 - 3
X = -1
#AyoBelajarGiven: three halves times x minus ten equals fifty
Step 1: three halves times x minus ten equals fifty Reason 1: Given
Step 2: three halves times x minus ten plus ten equals fifty plus ten Reason 2: Addition Property of Equality
Step 3: three halves times x equals sixty Reason 3: Simplify
Step 4: three halves times x times two thirds equals sixty times two thirds Reason 4: Division Property of Equality
Step 5: x = 40 Reason 5: Simplify
Choose which reason is incorrect.
Reason 2
Reason 3
Reason 4
Reason 5
Answer:
Reason 4Step-by-step explanation:
All the reasons are correct apart from the 4th.
Step 4 involves multiplication of both sides by (2/3). Thee reason given is: "Division property of equality", which is wrong as division is not applicable.
Answer:
Reason 4 is correct I just did the quiz
what’s 4.50 converted into scientific notation?
Answer:
4.50 in scientific notation
4.5 × 100
Solve the system of equations using any method.
y = x2 + 4
y = 2x + 4
Answer:
these both are the same equations
4-5|6-3(8-2)|= what is the answer to this equation
4 - 5|6 - 3(8 - 2)|
4 - 5|6 - 3 × 6|
4 - 5|6 - 18|
4 - 5|-12|
4 - 5 × 12
4 - 60
-56
Greetings!!
What is 18/12 as a mixed number in simplest form
Answer: 1 1/2
You can write this as 1 & 1/2
The whole part is 1. The fractional part is 1/2
==========================================================
Explanation:
Let's say we had 18 cookies to hand out to 12 students.
How many cookies does each student get?
Using a calculator shows that 18/12 = 1.5 which means they get one whole cookie each
The leftovers is 18-12 = 6
Then notice how 6/12 = 1/2
So that's how the improper fraction 18/12 becomes the mixed number 1 & 1/2
So each student gets 1 full cookie, plus half a cookie.
------------------
Or we could do the problem like this
18/12 = (12+6)/12
18/12 = (12/12)+(6/12)
18/12 = 1 + (1/2)
18/12 = 1 & 1/2
g. A school basketball court has an area of 23.3.52.7 square
feet. What is the area of a school basketball court?
How would you get 32a^5?
Answer:
[tex] {( - 2a)}^{5} [/tex]
open the bracket:
[tex] = ( - 2) {}^{5} (a) {}^{5} \\ \\ = - 32 {a}^{5} [/tex]
magnitude:
[tex] | - 32 {a}^{5} | = 32 {a}^{5} [/tex]
Answer:
-32a**5
Step-by-step explanation:
any negative to an odd power is negative
(-2a)**5 = (-2**5 * a**5) = -32a**5
Answer the questions below.
(a) The area of a rectangular parking lot is 5673 m².
If the width of the parking lot is 61 m, what is its length?
Length of the parking lot:
(b) The perimeter of a rectangular pool is 292 m.
If the length of the pool is 88 m, what is its width?
Width of the pool:
Step-by-step explanation:
#1
Length = Area/Width
Length = 5673/61
Length = 91 m
#2
Perimeter = 2(l + w)
292 = 2(88 + w)
292/2 = 88 + w
146 = 88 + w
146 - 88 = w
58 = w
Tamir wants to rewrite 13+ 65 using the greatest common factor and the distributive
property.
Complete the statements below.
The greatest common factor of 13 and 65 is ___
….
Answer:
give brainliest please I need it to level up
Step-by-step explanation:
the gcf of 13 and 65 is 13
13 + 65 can be rewritten using the gcf as
13( 1 + 5)
The greatest common factor of 13 and 65 is 13.
The 13 + 65 could be written using the gcf as 13(1 + 5).
Given that,
There are two numbers i.e. 13 and 65.There should be the plus sign i.e. 13 + 65.Here we need to find out the greatest common factor and the rewritten values.Based on the above information, the calculation is as follows:
The GCF is 13
And, it could be rewritten as 13(1 + 5).
Learn more: brainly.com/question/17429689
If a number is increased by 14 and the result is multiplied by 2/3, the answer is 60. Find the original number.
Answer:
76
Step-by-step explanation:
Firstly I called the original number 'y'
Then i formulated an equation by adding in the processes mentioned in the question: (y + 14) x 2/3 = 60
Then i solved the equation
First I multiplied (y + 14) by 2/3: (y + 14) x 2/3 = (2/3 x y) + (14 x 2/3) = 2y/3 + 28/3
I simplified that to 2y + 28/3 = 60 since you can add fractions which have the same denominator
Then to get rid of the fraction i multiplied both sides by 3 to get 2y + 28 = 180
Then i took away 28 from both sides to get 2y = 152
Then i divided both sides by 2 to get 'y'(the original number) on its on: y = 76
-a2 - 2bc -lcl if a = -3, h = -5,
and c = 2
Answer:
24
plss mark me brainliesttt
Step-by-step explanation:
6+20-2
26-2
24
Pretty please help!!! Will mark brainiest!!
One day, the ticket-selling employees forgot to count how many people came to the park. Using the inverse function (3x - 84 = y) and the number of popcorn bags sold, calculate the approximate park attendance for the following:
a. 30 bags of popcorn
b. 130 bags of popcorn
c. 520 bags of popcorn
Answer:
Step-by-step explanation:
We calculate terms in parentheses: +(3x-84-()), so:
3x-84-()
We add all the numbers together, and all the variables
3x
Back to the equation:
+(3x)
x=0/3
x=0
Answer: b
Step-by-step explanation: y=3x−84.
y=3x−84