Answer:
b = [tex]\sqrt{45}[/tex]
Step-by-step explanation:
Using Pythagoras' identity in the right triangle on the left.
The square on the hypotenuse is equal to the sum of the squares on the other 2 sides, that is
b² + 6² = 9²
b² + 36 = 81 ( subtract 36 from both sides )
b² = 45 ( take the square root of both sides )
b = [tex]\sqrt{45}[/tex]
Susie is visiting the U.S. from Mexico. One day she stopped by a market and found a stall selling tomatoes for 0.97 dollars per pound. If 1 peso was worth 0.053 dollars that day, how much did the tomatoes cost in pesos per kilogram?
Answer:
eish
Step-by-step explanation:
shhsjsbsbebsjushehbsjejdudushebeisius I'm sorry
What can you say about the two figures
A.The two figures are congruent but not similar.
B.The two figures are not similar or congruent.
C.The two figures are similar and congruent.
D.The two figures are similar but not congruent.
A, B, C and D are four towns. B is 30 kilometres due east of A. C is due 30 kilometres north of A. D is due 45 kilometres of A. Work out the bearing of B from C.
Complete question :
A, B, C and D are four towns. B is 30 kilometres due east of A. C is due 30 kilometres north of A. D is due 45 kilometres due south of A. Work out the bearing of B from C.
Answer:
44°
Step-by-step explanation:
From the diagram sketched, we have a right angled d triangle, thus we can apply Pythagoras ;
Using the relation :
Tanθ = opposite / Adjacent
Tan θ = 30 / 30
Tanθ = 1
θ = tan^-1(1)
θ = 45°
Hence, bearing of B from C is 45°
I need help please. Thank you
Answer:
try 4 inches
Step-by-step explanation:
since the diameter is 8 inches, then we can do 82 to find the radius, or 4 inches.
An aeroplane takes off and flies steadily for a distance of 5.6 km at an altitude of 2 km from it's runway . Calculate the angle that it makes with the horizontal
Answer:
The angle the aero plane makes with the horizontal is approximately 20.925°
Step-by-step explanation:
The given parameters are;
The distance the aero plane flies = 5.6 km
The elevation to which the aero plane flies = 2 km
The angle the path of the aero plane as it takes off makes with the horizontal, θ, is the angle opposite the altitude of the right triangle formed by the aero plane's path (the hypotenuse), the horizontal, and the line drawn from the final position of the aero plane, representing the altitude (the opposite leg to angle θ)
By the trigonometric ratio for the sin of the angle, θ, we have;
[tex]sin(\theta) = \dfrac{Opposite \ leg \ length}{Hypotenuse \ length} = \dfrac{2 \ km}{5.6 \ km} = \dfrac{2}{5.6}[/tex]
Therefore, the angle θ the aero plane makes with the horizontal is given as follows;
[tex]\theta = arcsin \left (\dfrac{2}{5.6} \right ) \approx 20.925 ^{\circ}[/tex]
The angle the aero plane makes with the horizontal ≈ 20.925°.
Melissa has six sets of card matches. She drops the cards and must find their match again. Record your results below.
Answer:
there is no work?
Step-by-step explanation:
Answer:
Step-by-step explanation:
Urgent please help..
Answer:
y=[tex]6\sqrt{2}[/tex]
Step-by-step explanation:
[tex]\frac{6}{sin45} =\frac{x}{sin45} \\x=6\\\\y^{2}=6^{2} +6^{2} \\y=\sqrt{72} \\y=6\sqrt{2}[/tex]
wilbur has sold 100, 42,87, and 66 appliances in the last four months, respectively. How many appliances will he need to sell this month to maintain an average of at least 72 sales per month?
Answer:
59
Step-by-step explanation:
1) so you start with the mean being 72x5=360
2)100+42+87+66=295
3) 360-295=65
(you get the 5 from the amount of numbers there are) P.S sorry if I'm wrong or this doesn't help
Aubree invested $16,000 in an account paying an interest rate of 5.6% compounded continuously. Assuming no deposits or withdrawals are made, how long would it take, to the nearest tenth of a year, for the value of the account to reach $45,600?
Answer:
t=18.7
Step-by-step explanation:
After 19.2 year the account reach $45,600.
What is Interest?The cost of borrowing money is called interest, and it is typically stated as a percentage, such as an annual percentage rate (APR). Lenders may charge interest to borrowers for using their funds, or borrowers may charge interest to lenders for using their funds.
We have,
P =$16, 000
R= 5.6%
Future value = $45, 600.
Now, using
16,000 (1 + 5.6%[tex])^x[/tex] = 45,600
(1 + 5.6%[tex])^x[/tex] = 2.85
Taking log on both side we get
x log (1.056) = log (2.85)
x= 19.2
Thus, the time taken is 19.2 years.
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What is the equation of a line that is parallel to 2x +3y = 3 and passes through the point (3, -4) ?
Answer:
2x + 3y = -6
Step-by-step explanation:
The equation of the new line will be identical to that of the given line except that the constant term will differ.
Start with the given 2x + 3y = 3 and replace x with 3 and y with -4. We get:
2(3) + 3(-4) = C, and C = 6 - 12 = -6
The equation of the new line is therefore 2x + 3y = -6
Can someone please answer quick there’s a math test and I only have one minute to answer this question please it’s my last question.
Answer:
The equation of the line in slope-intercept form is:
y = 3/5x + 5
Step-by-step explanation:
The slope-intercept form of the line equation
[tex]y = mx+b[/tex]
where
m is the slopeb is the y-interceptTaking two points
(-5, 2)(5, 8)Taking two points (-5, 2) and (5, 8) to determine the slope
[tex]\mathrm{Slope}=\frac{y_2-y_1}{x_2-x_1}[/tex]
[tex]\left(x_1,\:y_1\right)=\left(-5,\:2\right),\:\left(x_2,\:y_2\right)=\left(5,\:8\right)[/tex]
[tex]m=\frac{8-2}{5-\left(-5\right)}[/tex]
Refine
[tex]m=\frac{3}{5}[/tex]
We know that the value of y-intercept can be determined by setting x = 0, and determining the corresponding value of y.
From the graph, it is clear
at x = 0, y = 5
Thus, the y-intercept b = 5
now, substituting b = 5 and m = 3/5 in the slope-intercept form of the line equation
y = mx+b
y = 3/5x + 5
Therefore, the equation of the line in slope-intercept form is:
y = 3/5x + 5
if there are 93 calories in 3/4 cups how many calories are in 1 cup
Answer:
124
Step-by-step explanation:
Cross Multiply
(93x4)/3
Jose rides his bike to school every day. It takes him 11.7 minutes to ride from home to school. When he rides from school to home, it takes him 2.2 more minutes. How many minutes does Jose ride his bike every day?
Answer:
25.6 minutes
Step-by-step explanation: add 11.7 and 2.2 then add 11.7 again
please help me . beg you .
Answer:
24.3 cm
Step-by-step explanation:
length AC= 20²+12²= 544
√544= 23.3 cm
answer = 23.3²+7²= 591.89
√591.89= 24.3 cm
hope it helps! please mark me brainliest
thank you! have a good day ahead
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What are the next three terms of the geometric sequence 32, -16, 8, …?
Answer:
-4, 2, -1
Step-by-step explanation:
everything is being multiplied by -1/2
32 × -1/2 = -16
-16 × -1/2 = 8
So 8 × -1/2 = -4
Part A: What is the ratio of the number of students receiving a C and the number of students receiving an A? * 1:4 6:1 4:1 3:1 Part B: Complete the statement: For every student receiving a D, ______ students received a B. * Part C: What is the ratio of the number of students receiving a C and the number of students receiving an D? 1:4 6:1 4:1 3:1
Answer:
a. 4 : 1
b. 2 students
c. 3 : 1
Step-by-step explanation:
a. There were 12 students who got a C and 3 students who got As. The ratio is therefore:
12 : 3
Take it to the lowest form by dividing both sides by 3:
= 4 : 1
b. There were 4 students with a D grade and 8 with a B. The ratio is:
= 4 : 8
Taken to the lowest form that would be:
= 1 : 2
This means that for every student receiving a D, 2 students received an A.
c. 12 students received a C and 4 students received a D. That ratio is therefore:
= 12 : 4
Take to the lowest form by dividing both sides by 4:
= 3 : 1
The number of miles that 10 students have to travel to school is given. 4.6, 2.1, 1.7, 6.1, 0.9, 4.3, 2.0, 6.1, 8.4, 0.3 What is the median number of miles that these 10 students need to travel to school? 2.1 miles 3.2 miles 4.3 miles 6.1 miles
Answer:
The median is 3.2 miles
Step-by-step explanation:
What are the coordinates of A after a dilation of 2/3 centered at the origin? Question 11 options:
A' =(−3/4, −3/2)
A' = (4/3, 2/3)
A' = (2, 1)
A' =(2/3, 2/3)
Answer:
The image of A(2, 1) after dilation by a scale factor of 2/3 will be: A'(4/3, 2/3) .
Step-by-step explanation:
Given
Point A (2, 1)We know that when an object is dilated by a scale factor, it gets reduced, stretched, or remains the same, depending upon the value of the scale factor.
If the scale factor > 1, the image is enlarged If the scale factor is between 0 and 1, it gets shrunk If the scale factor = 1, the object and the image are congruentRule to calculate the dilation by a scale factor 2/3 centered at the origin
P(x, y) → P'(2/3x, 2/3y)
Here, P'(2/3, 2/3y) is the image of P(x, y).
It means the coordinates of the image can be determined by multiplying the coordinates of the original point by 2/3.Thus,
A(2, 1) → A'(2/3(2), 2/3(1)) = A'(4/3, 2/3)
Therefore, the image of A(2, 1) after dilation by a scale factor of 2/3 will be: A'(4/3, 2/3) .
Is the function an exponential function?
y=(-2)^x
Answer:Yes
Step-by-step explanation:
the normal exponential function is ab^x, where a represent the growth( sometimes you don't need this part), b is average rate of growth and x is the number of times we exponate. [tex]-2^{x}[/tex] is a exponetital function because it includes the b and x part. The a part is someetimes used but not always.
A function is a relationship between inputs where each input is related to exactly one output.
An exponential function is a function in the form
y = [tex]a^{x}[/tex]
Where a = constant and x = variable.
y = [tex](-2)^{x}[/tex] is an exponential function.
Where -2 is a constant and x is a variable.
What is a function?A function is a relationship between inputs where each input is related to exactly one output.
Example:
f(x) = 2x + 1
f(1) = 2 + 1 = 3
f(2) = 2 x 2 + 1 = 4 + 1 = 5
The outputs of the functions are 3 and 5
The inputs of the function are 1 and 2.
We have,
y = [tex](-2)^{x}[/tex]
An exponential function is a function in the form
y = [tex]a^{x}[/tex]
Where a = constant and x = variable.
Example:
y = [tex]3^{x}[/tex]
y = [tex]5^{x}[/tex]
We see that,
y = [tex](-2)^{x}[/tex]
-2 is a constant
x is a variable
Thus,
y = [tex](-2)^{x}[/tex] is an exponential function.
Where -2 is a constant and x is a variable.
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2 + yx; use x = 6, and y = 5
Answer:
answer: 32
Step-by-step explanation:
2+5*6
=32
I really don’t get this math how am i supposed to figure out which side is which?
Answer:
u can use "a squared + b squared = c squared"
in this case the two legs are 10 and 24 because they are near the right angle. the hypotenuse is always across from the right angle, so it's the long side that connects the two legs. Now you can plug in 10 and 24 for the pythagorean theorem and solve for the hypotenuse. that would be 10 squared plus 24 squared equal to c squared.
Answer:
26
Step-by-step explanation:
You would use the Pythagorean theorem to solve for the last side.
Pythagorean theorem- a^2+b^2=c^2
a and b =sides
c=hypotenuse
Since you are finding the hypotenuse(c), you don't have to rearrange the formula
plug in a and b.
10^2+24^2=c^2
solve
100+576=c^2
676=c^2
do the square root of 676 to get rid of the c^2
26=c
Liam and Harper are racing on a track. Liam runs 4 miles per hour and gets a 0.25 mile head start. Harper runs 0.5 miles per hour fastet than Lism. If harper and Liam run the same distance, how many hours, x, do they run?
Answer:
30 minutes = 0.5 hour
Step-by-step explanation:
0.5 miles faster than Liam:
4x + 0.25 = 4.5x
0.25 = 4.5x - 4x
0.25 = 0.5x
x = 0.25 / 0.5
x = 0.5 hours
x = 30 minutes
Can somebody answer this?
Answer:
c. m
General Formulas and Concepts:
Algebra I
Slope-Intercept Form: y = mx + b
m - slope b - y-interceptStep-by-step explanation:
It is wise to remember Slope-Intercept Form as it tell us how to graph a linear equation and tells us specific things about the line itself.
Answer:
the slope of the line is m
Step-by-step explanation:
why m?
because as you see in the equation
y=mx+b this means y-b/x = m
as you know slope is ∆y/∆x =m
it is the same as the first one .
what is 46274648354846374 times 77466
1. The point (4, - 2) is the vertex of the graph of a quadratic function. The points (8,6)
and (2,0) also fall on the graph of the function. Complete the graph of this
quadratic function by first finding two additional points on the graph.
2
0
10
10
9
-8
-4
-6
-2
4
6
8
10
-2
-4
-6
-107
Part A:
What is the y-intercept of the graph?
Part B:
What are the x-intercepts?
Part C:
Find the interval on which the rate of change is always positive.
Part D:
What is the sign of the leading coefficient for this quadratic function? How
do you know?
El
Answer:
It doesn't make sense and their no picture that provides us with clear evidence on how to answer this better then how your explaing
Step-by-step explanation:
I don't know how to know how to answer this lol, because I need a better explination
please solve the logarithmic equation and show your work. log3(2x-5)=2
anyone good at solving rational zeros
Answer:
I am what's your question?
Step-by-step explanation:
please help me with this
Answer:
its A :)
Step-by-step explanation:
Ap ex: What is the solution to this system of equation?
y = x - 4 y = -0.5x + 8
a. (4,2)
b. (8,4)
c. (4,8)
d. (2,4)
Answer:
x = 8, y = 4
Step-by-step explanation:
y = x - 4
y = -0.5x + 8
y = y
x - 4 = -0.5x + 8
x + 0.5x = 8 + 4
1.5x = 12
x = 12/1.5
x = 8
To get "y" substitute the 8 for the "x" value in any of the two equations (they will both give the same answer.)
y = (8) - 4
y = 4
OR
y = -0.5(8) + 8
y = -4 + 8
y = 4
multiply choice question! which one?
Step-by-step explanation:
the option that you've chose.
it's the correct answer!
have a good day :)
Answer:
The answer is D. number 4.