Answer:
[tex]\mathbf{\theta = 0.0875 \ radians}[/tex]
Step-by-step explanation:
Given that:
The distance between city A and city B = 350 miles; &
The radius of the earth = 4000 miles
We all know that:
l = rθ
[tex]\theta = \dfrac{l}{r}[/tex]
[tex]\theta = \dfrac{350}{4000}[/tex]
[tex]\mathbf{\theta = 0.0875 \ radians}[/tex]
From l = rθ; recall that l = a
so;
a = rθ
350 = 4000×θ
θ = 350/4000
θ = 35/400 degree
In radians;
θ = (35/400) × (π/180)
θ = (7π /800× 180) radians
5) Solve this system by graphing.
-2x - 4y = -8
y = x-10
A contractor charges $35 for the installation of gutters, plus $1.50 per foot. If one installation cost $162.50, how many feet of gutter were required?
what is 250,000 divided by 12
Answer:
20833.3
Step-by-step explanation:
Answer:
tthe answer is. 20833.3
What is the area of the trapezoid?
Answer:
A=78ft
Step-by-step explanation:
The area of a trapezoid is A=(a+b)/2 *h
a=long base
b=short base
h=height
For your trapezoid, it will look like this:
a=15ft
b=11ft
h=6ft
Let's add those into the equation:
A=(15+11)/2 *6
Okay, let's solve it! Using PEMDAS, we know parenthesis are first.
A=26/2 *6
Now we divide!
A=13*6
Multiply! And don't forget to add your unit.
A=78ft
Equivalent fraction of 4/5
Answer:
12/15
Step-by-step explanation:
4*3=12
5*3=15
Answer: 8/10
Step-by-step explanation:
change 4 and 4 on 9 to an improper fraction
Answer: 40/9
Step-by-step explanation:
First multiply the number 4 and the denominator 9 together which is 36 in this case. Then add the remaining 4 which takes you to 40 then the denominator will stay the same so the answer will be 40/9
Y-4=7(x-6) need help
Answer:
y = 7x - 39
Step-by-step explanation:
y-4= 7(x-6)
y = 7(x-6) + 4
= 7x - 42 + 4
= 7x - 38
y = 7x - 39
2. Students going on a class trip each put 3 suitcases on the tour bus.
The bus driver put 2 suitcases on the bus. There were 68 suitcases
on the bus. How many students, s, were on the bus?
Find the value of X. Round to the nearest tenth
9514 1404 393
Answer:
88.2
Step-by-step explanation:
The mnemonic SOH CAH TOA reminds you of the relevant relation ...
Tan = Opposite/Adjacent
tan(10°) = x/500
x = 500·tan(10°)
x ≈ 88.2 . . . . units
_____
If you move the "500" dimension to the top of the figure, you see it is adjacent to the given angle, and the value x is opposite.
CAP has vertices
C(-3,8),
A(3,-9),
and
P-1,-10).
What are the coordinates of the image of
A after the given composition of tranformations?
Dilation: center (0, 0); scale factor 5,
Translation: (x, y) (x-9,y +11).
Answer:
[tex]A'' = (6, -34)[/tex]
Step-by-step explanation:
Given (Points)
[tex]C = (-3,8)[/tex]
[tex]A = (3,-9)[/tex]
[tex]P = (-1,-10)[/tex]
Transformations:
Dilation: Center (0,0); Scale factor = 5
Translation: (x, y) --> (x-9,y +11).
Required
Determine the image of A
[tex]A = (3,-9)[/tex]
Apply the first transformation:
i.e. dilation by a scale factor of 5
[tex]A'=A * 5[/tex]
[tex]A'=(3,-9) * 5[/tex]
[tex]A'=(3* 5,-9* 5)[/tex]
[tex]A'=(15,-45)[/tex]
Apply the second transformation:
i.e. translation: (x, y) --> (x-9,y +11).
[tex]A'=(15,-45)[/tex]
[tex]A'' = (15 - 9, -45 + 11)[/tex]
[tex]A'' = (6, -34)[/tex]
Hence, the image of A is (6,-34)
Carter is famous for his taco soup. His soup requires 2 cans of black beans for every 2 3/4 jars of salsa
His sister calls him and says she wants to make his taco soup. She says, "I put in 11 jars of salsa. How many cans of black
beans do I need to put in the soup to make it taste just like yours?"
How many cans of black beans does Carter's sister need to use?
A. 5 1/2 cans
B. 4 cans
C. 8 cans
D. 1 3/8 cans
Answer: The answer is 8 cans. Hope I helped :)
Step-by-step explanation:
Find the value of x in the triangle shown below
Answer:
Step-by-step explanation:
x=[tex]\sqrt{12^{2} +16^{2} }[/tex]
x=20
A rectangle with an area of 47m² is dilated by a factor of 7. What is the area of the dilated rectangle? Enter your answer in the box. Do not leave your answer as a fraction.
?m²
Answer:
28m^2
Step-by-step explanation:
Answer:
28 square meters is correct for all future users.
Step-by-step explanation:
Find an equivalent fraction to 5/6 only.
Answers:
A) 2/4
B) 10/12
C) 11/6
D) 20/24
E) 50/60
Answer:
B D and E
Step-by-step explanation:
Remark
It's hard to know how to tackle this. I suppose the easiest way is to divide the numerator and denominator by a common factor.
2/4
The common factor is 2
Divide the 2 by 2 and the 4 by 2
2/2 = 1
4/2 = 2
The fraction reduces down the 1/2 which is not 5/6
10 / 12
The common factor is 2.
10/2 = 5
12/2 = 6
Looks like this is your answer. But is it the only one.
11/6
These two have no common factor. The answer is 11/6 which is not 5/6
20 / 24
The common factor of these two is 4
20/4 = 5
24/ 4 = 6
This is also = to 5/6
50 / 60
The common factor is 10
50/10 = 5
60/10 = 6
That's equal to 5/6 as well.
Find the given probabilities. If the probabilities or given in decimal then your answer should be in decimals. If the probabilities are a fraction then your answer should be in fraction.
a. If \large P\left(A\right)=\frac{1}{6} and \large P\left(B\right)=\frac{4}{9}, and events A and B are disjoint events, so \large P\left(A or B\right)=
b. If P(A)= .67 and P(B)= .13 and events A and B are disjoint events, so P(A or B)=
Answer:
B
Step-by-step explanation:
What is the parallel line and slope of a perpendicular like for 3x+5y=4
Answer:
a line parallel has the same slope and different y-intercept, and the slope of the perpendicular line would be -3/5
Step-by-step explanation:
3x + 5y = 4
5y = -3x + 4
y = -3/5x + 4/5
On Saturday, Mark sold 2 7/8 gallons of lemonade.
On the same day, Regan sold 2/3 as much lemonade as Mark.
How much lemonade, in gallons, did Regan sell?
Answer:
Regan sold [tex]\mathbf{\frac{23}{12}}[/tex] gallons of lemonade
Step-by-step explanation:
Operations with Fractions
Mark sold [tex]2\frac{7}{8}[/tex] gallons of lemonade.
Regan sold [tex]\frac{2}{3}[/tex] as much lemonade as Mark
We can find the portion of lemonade Regan sold by multiplying both fractions. But first, we must convert to improper fraction:
[tex]2\frac{7}{8}=2+\frac{7}{8}=\frac{23}{8}[/tex]
Now we multiply:
[tex]\frac{23}{8}\cdot \frac{2}{3}=\frac{46}{24}=\frac{23}{12}[/tex]
Regan sold [tex]\mathbf{\frac{23}{12}}[/tex] gallons of lemonade
Given the function g(x) = 4x - 5, compare and contrast g(2) and g(-4). Choose the statement that is true
concerning these two values.
O a
The value of g(2) is larger than the value of g(-4).
Oь
Ос
The value of g(2) is smaller than the value of g(-4).
The value of g(2) is the same as the value of g(-4).
The values of g(2) and g(-4) cannot be compared.
Od
Answer:
The value of g(2) is larger than the value of g(-4)
Step-by-step explanation:
2 is a larger number than -4, so automatically, the value of g(2) would be larger.
If 30 is the total number of starbursts in a bag, how many starbursts are 70% of the bag?
Evaluate the expression when x=4, y=-6, and z= -3.
3x – 2y
----------------
Z
Answer:
3x-2y=3(4)-2(-6)
12+12=24
Now, we divide the result of 3x-2y by z
Therefore, we have 24 divide - 3
-8
Therefore, the answer is - 8
Alana has 1/4 pound of shredded cheese. She uses an equal amount of cheese in each of 4 pizzas. What fraction of a pound of cheese did Alana use on each pizza?
Answer:
1/16
Step-by-step explanation:
To find the answer, you would have to divided 1/4 by 4, which is 1/16.
Hope this helps! :)
PLEASE HELP 20 POINTS PLUS BRANLIEST
For each graph below, state whether it represents a function.
Step-by-step explanation:
1. Not a function There is no correlation plus there is two y values for the same x.
2.Not a function, There is two y values for the same x
3.Yes, you can draw a linear line through the points to represent the equation, also there is one x for one y.
4.Yes, this is a step function. It seems there are two y values for same x. but the shaded circle means to include it and the open circle means dont include it so it is a function.
5.No, this is a parabola but this function has two y values for the same x
6. Yes, this is a absolute value function and there is multiple x values for the same y so it IS a function
Graph 3,6,4 represents a function because the x’s do not repeat and it passes the vertical line test. Which means 1,2,5 is not a function because the x's do repeat and it does not pass the vertical line test
Hope this helps
Have a great day/night
Feel free to ask any questions
help!!! Pleasee thank youuuu
Answer:
a
Step-by-step explanation:
it is the reflection or mirror image
What is the equation of the line passing through the point ( 0,0), ( 2, 1), and ( -2, -1)
Answer:
so basic 0,0 is not proper so that would mean ( -2)Step-by-step explanation: its the awnser
Adrienne has chickens and ducks on her farm. She has 48 chickens and 28 ducks. What ratio describes the number of ducks to the number of chickens?
Which part of a flower grows into the fruit?
the stigma
the anther
the ovule
the ovary
Answer:
ovary
Step-by-step explanation:
Complete the tables of values?
Plz help I’m so stuck on this
Answer:
d=1
e=4/9
f=16/81
Step-by-step explanation:
Substitute x in the right column with the values in the left column to find d, e, and f.
Answer:
d = 1
e = 4/9
f = 16/81
Step-by-step explanation:
d is 1 because any term raised to the power of zero equals one
e: (2/3)² = 2²/3² = 4/9
f: (2/3)^4 = 2^4/3^4 = 16/81
pls help
Which graph represents a linear function?
Answer: The second one
Step-by-step explanation:
Lineair is always a straight line, think of it as a “line in the air”
Answer:
the second one
Step-by-step explanation:
its a straight line
which of the following graphs describes the solution set of -4/5x-13/5>=-9?
Answer:
Hey Bud
your answer is x ≤ 8
Step-by-step explanation:
should be closed dot pointing to the negative numbers
Let's solve your inequality step-by-step
Step 1: Simplify both sides of the inequality.
Step 2: Add 13/5 to both sides.
Step 3: Multiply both sides by 5/(-4).
X^2- 2x - 54 = 0
I need the answer for this please
x = -6, 8
Find the values of x by factoring, getting
(x - 8)(x + 6) = 0
Answer:
x = -6, 8
Step-by-step explanation:
