Evaluate c√+b(a−3)^3, when a = 5, b = 2, and c = 49.
a.84
b.72
c.54
d.23
(will mark brainliest if correct)
Answer:
D). 23Step-by-step explanation:
I just did this question and it is 100% correct
What general direction did Lin walk from the gym to his house, and what type of triangle did his walking path form? Lin walked south, creating a right triangle. Lin walked southwest, creating an obtuse triangle. Lin walked southeast, creating an acute triangle. Lin walked directly east, creating a right triangle.
The correct statement is ''Lin can walk southwest by creating an obtuse triangle to reach his house from the gym'' and it can be determined by using the properties of triangle.
We have to determine
What general direction did Lin walk from the gym to his house, and what type of triangle did his walking path form?
According to the question,
Types of Triangle;1. Lin walked south, creating a right triangle-
When someone walked in only one direction then a straight line is made by him over his path.
Here Lin can not make a right triangle just by walking in one direction.
Thus statement 1 is incorrect.
2. Lin walked southwest, creating an obtuse triangle.
When someone wants to reach a diagonal direction he can use either the right angle triangle path or the obtuse triangle.
Lin can walk southwest by creating an obtuse triangle to reach his house from the gym.
Thus statement 2 is correct.
3. Lin walked southeast, creating an acute triangle.
Actuate triangle is a triangle in which all three angles are less than the right angles (90 degrees).
With walking in actuate triangle one can make Lin can not go in his diagonal direction.
Thus statement 3 is incorrect.
4. Lin walked directly east, creating a right triangle.
When someone walked in only one direction then a straight line is made by him over his path.
Here Lin can not make a right triangle just by walking in one direction.
Thus statement 4 is incorrect.
Hence, Lin can walk southwest by creating an obtuse triangle to reach his house from the gym. Thus statement 2 is correct.
For more details about the Equation refer to the link given below.
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Answer:
its B Lin walked southwest, creating an obtuse triangle
A bicycle has a listed price of $588.95 before tax. If the sales tax rate is 8.25% , find the total cost of the bicycle with sales tax included. Round your answer to the nearest cent, as necessary.
Answer:
$637.54
Step-by-step explanation:
The cost is $588.95 and the tax is 8.25%, which needs to be turned into a decimal by moving the decimal 2 places to the left. .0825. Now multiply 588.95 x .0825 and that gives you the tax: $48.59 after rounding. Now add the tax to the price: 588.95 + 48.59 = $637.54.
A map is drawn to a scale of 28 miles per inch. Fill in the table.
need some help
Answer:
inches: 0.5 miles: 14
inches: 1 miles 28
inches: 1.5 miles 42
Hope This Helps!!!
The sum of three consecutive odd numbers is 99.
What is the smallest of the three numbers ?
31
hope this is helpful!
4. It takes Zack 30 minutes to walk 7.5 blocks to the swimming pool. At this rate, how many blocks can he walk in
one minute?
A. 1 block
30
B. block
7.5
765-30.5775
C. 4 blocks
D.) 5 blocks
Answer:
He can walk 0.25 blocks in 1 minute
Step-by-step explanation:
If Zack can walk 7.5 blocks in 30 minutes and we are looking for how many blocks he can walk in 1 minute, we will divide 7.5 by 30 as that will be the number of blocks per minute.
7.5/30 = 0.25
Does anyone know how to answer this?
Step-by-step explanation:
We first calculate the lenght of the diameter, that is also the lenght of the hypotenuse of the right triangle shown in the figure:
d = [tex]\sqrt{3^2 + 4^2} = \sqrt{25} = 5[/tex] cm
The radius of the circle will be half of the diameter: r = d/2 = 2.5 cm
The area of the circle will be: Acircle = pi * r^2 = pi * 6.25 cm^2 = 19.6 cm^2 (circa).
Now from the area of the circle we subtract the area of the square:
Asquare = 4cm * 3cm = 12cm^2
A shaded = Acircle - Asquare = 19.6 cm^2 - 12cm^2 = 7.6 cm^2
i know the pythagorean theorem
Answer:
I know the pythagorean theorem
Step-by-step explanation:
ok
A sporting event held at a high school had 135
attendees. The event earned a total of $930.
Admission to the event was $10 for adults and
$4 for students. How many adults (a) and how
many students (s) attended?
a + s = 135
10a + 4s = $930
[?] adults [ ] students
Answer:
65 adults and 70 students
The number of adults and students attendant the sporting event held at a high school are 65 and 70 respectively .
What is elimination method?In the elimination method, we eliminate any one of the variables by using basic arithmetic operations and then simplify the equation to find the value of the other variable. Then we can put that value in any of the equations to find the value of the variable eliminated.
According to the question
A sporting event held at a high school had 135 attendees.
In which adults and students are there .
Let adults be a
and students be s
Therefore,
The equation is
a + s = 135 ---------------------------(1)
Now,
The event earned a total of $930.
Admission to the event was $10 for adults and $4 for students.
i,e
10a + 4s = 930 ---------------------------(2)
Now , Using elimination method to solve both equations
a + s = 135 ---------------------------(1)
10a + 4s = $930 -------------------(2)
Step1: Multiplying equation 1 by 10
i,e
10a + 10s = 1350 -------------------(3)
Step2: Subtract equation (2) from (3)
10a + 10s = 1350 -------------------(3)
-10a - 4s = -930 -------------------(2)
6s = 420
s = 70
Now , Substituting the value of s in equation (1)
a + s = 135 ---------------------------(1)
a + 70 = 135
a = 65
Hence, The number of adults and students attendant the sporting event held at a high school are 65 and 70 respectively .
To know more about elimination method here:
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The shortest route from London to Swansea is 180 miles. A lorry is expected to take 4.5 hours to travel this route. The lorry actually travels by a different route which increases the distance by 15%, but it still arrives in 4.5 hours. By how many more mph than the expected speed does the lorry travel?
Answer:
6mph
Step-by-step explanation:
180/4.5=40
180 × (1+15%)=207
207/4.5=46
46-40=6
Help me plz I would really appreciate it!
Hope you could get an idea from here.
Doubt clarification - use comment section.
PLEASEE HELP ME ITS EAZY
If its easy, why don’t you do it yourself??
Luis made an error when he used the distributive property to write an equivalent expression.
Which sentence describes the error?
35x−15====(5⋅7)−(5⋅3)5(7−3)5(4)20
Answer:
35x does not equal 5 times 7Step-by-step explanation:
The second step ''(5 × 7) - (5 × 3)'' has an error.
Given that;
Luis made an error when he used the distributive property to write an equivalent expression.
Here the expression is,
35x - 15
It can be written as;
(5 × 7)x - (5 × 3)
Take 5 as common,
5 (7x - 3)
Therefore, the second step ''(5 × 7) - (5 × 3)'' has an error.
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X=?
38 degrees 75 degrees
Answer:
67
Step-by-step explanation:
Which figure has reflection symmetry?
Answer:
the first option
Step-by-step explanation:
if you were to fold it in half it would be the same shape without anything poking out of the sides. one side reflects the other side
The distance of AB = [?]
Round to the nearest tenth.
No links and actual help plz!
Answer:
AB ≈ 5.7
Step-by-step explanation:
Calculate AB using the distance formula
d = [tex]\sqrt{(x_{2}-x_{1})^2+(y_{2}-y_{1})^2 }[/tex]
with (x₁, y₁ ) = (- 2, - 2 ) and (x₂, y₂ ) = (2, 2 )
AB = [tex]\sqrt{(2-(-2))^2+(2-(-2))^2}[/tex]
= [tex]\sqrt{(2+2)^2+(2+2)^2}[/tex]
= [tex]\sqrt{4^2+4^2}[/tex]
= [tex]\sqrt{16+16}[/tex]
= [tex]\sqrt{32}[/tex]
≈ 5.7 ( to the nearest tenth )
I just need the answer to the first question (16) plz thx
A)Evaluate g(0)
B)Find x if g(x)=0
C) domain and range
Answer:
a) g(0) = -4
b) x = -2 or +2 for g(x) = 0
c) domain: all real numbers; range: y ≥ -4
Step-by-step explanation:
a)g(0) is the value of the function when x=0. That is where the function crosses the y-axis. g(0) = -4.
__
b)g(x) = 0 where the graph crosses the x-axis. The x-values there are ...
x = -2 and x = 2
__
c)The domain is the horizontal extent of the graph. Here, we assume the graph extends to infinity both in the upward direction and to the left and right. Thus the horizontal extent (domain) is from -∞ to +∞, or "all real numbers."
The point where the graph crosses the y-axis is a minimum. There are no y-values below that point. So, the vertical extent (range) of the graph is from y=-4 to +∞.
y ≥ -4 . . . . range
what is the equation of the line with slope -7 which goes through the point (2,5)
Answer:
y=-7x+19
Step-by-step explanation:
y-y1=m(x-x1)
y-5=-7(x-2)
y=-7x+14+5
y=-7x+19
The equation of the line with slope - 7 which goes through the point (2, 5) is
y = - 7x - 19.
What are lines and their slopes?We know lines have various types of equations, the general type is
Ax + By + c = 0, and the equation of a line in slope-intercept form is
y = mx + b.
Where slope = m and b = y-intercept.
the slope is the rate of change of the y-axis with respect to the x-axis and the y-intercept is the (0,b) where the line intersects the y-axis at x = 0.
Given, A line passes through points (2, 5) with a slope of - 7.
∴ 5 = -7(2) + b in slope-intercept form.
5 = - 14 + b.
b = - 19.
y = - 7x - 19.
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If the actual sale for the week is $525 and hector guessed $625, what i the percent error?
Answer:
19.0% (1dp)
Step-by-step explanation:
$625-$525=$100
$100/$525=4/21×100=19.0% (1dp)
According to building codes, a wheelchair ramp should have a slope of 1/10 or less.
a) Does the wheelchair ramp shown meet the requirements? (The ramp had a height of 75 cm and a length of 800 cm.)
Include calculations to justify your answer.
Using the slope formula, it is found that the slope is of 0.09375 < 0.1, hence, it meets the requirements.
The slope of a ramp is given by it's height divided by it's length, that is:
[tex]m = \frac{h}{l}[/tex]
In this problem:
The height is of 75 cm, hence [tex]h = 75[/tex].The length is of 800 cm, hence [tex]l = 800[/tex].Then, the slope is given by:
[tex]m = \frac{h}{l} = \frac{75}{800} = 0.09375[/tex]
The slope is of 0.09375 < 0.1, hence, it meets the requirements.
A similar problem about the use of slopes in ramps is given at https://brainly.com/question/18090623
When is it best to solve a system of equations using substitution?
Answer:
The easiest way to solve this system would be to use substitution since x is already isolated in the first equation. Whenever one equation is already solved for a variable, substitution will be the quickest and easiest method
Translate this phrase into an algebraic expression.
54 decreased by twice a number
Use the variable n to represent the unknown number.
Answer:
54 - (2n)
Step-by-step explanation:
First you take 54
Then its says to “decrease (said number: 54) by twice a number”
Decrease meaning “take away/remove”.
So you subtract 54 by 2 —> 54 - 2
But then, the important line comes along, “Use the variable n to represent the unknown number.
This mean that ”n”, multiplied by two is what the number: 54 is being deceased by.
So your answer is —> 54 - (2n)
Answer:
54 - 2n
Step-by-step explanation:
54 - 2n
In right â†LMN, sin M = 0. 759. What is cos N? A. 0. 121 B. 0. 241 C. 0. 349 D. 0. 651 E. 0. 759.
The correct option is E. 0.579
Given, sin M = 0.759.
We have to find the value of cos N.
Since [tex]\Delta LMN[/tex] is right triangle.
We know that,
[tex]sin(90-\Theta)= Cos \Theta[/tex]
Assuming L is the right angle, So the other two angles are complementary.
Thus, [tex]cos(N) = sin(90-N) = sin(M)[/tex]
Hence,[tex]Cos(N)=Sin(M)[/tex]
Therefore the value of Cos N will be 0.759.
For more details on trigonometric ratio follow the link:
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PLEASE NO LINKS AND NO NEGATIVITY
Answer:
$1.20 per chicken
Step-by-step explanation:
[tex]\frac{money} {chickens}[/tex]
[tex]\frac{18}{15}[/tex]
1.2
__________________________________________________________
Hope this helps!!
If I am wrong, please tell me, I enjoy learning from my mistakes:)
What is 4/6 divided by 3/12 what is the quotient
Answer: 8/3, 2 2/3
Step-by-step explanation:
reciprocal of 3/12 is 12/3
soooooo
4/6 x 12/3
which is 48/18
u can divide that by 6
which is 8/3
or 2 2/3
What is the range of possible sizes for side x?
Answer:
x = 3.96
Step-by-step explanation:
apply the pitagoras theorem
x =
[tex] \sqrt{ {2.8}^{2} + {2.8 }^{2} } [/tex]
What do you know to be true about the values of p and q?
09
AM
60°
50°
30°
80°
Answer:
p=q
Step-by-step explanation:
all angles together is 180. p=70 degrees and q = 70 degrees
Solve for C: 20 (greater than or equal too sign) C-11
Answer:
C (is greater than it equal to) 31
Step-by-step explanation:
Isolate the c by adding 11 to both sides (cancels out the 11 and turns 20 into 31). Keep the sign the same!! Hope this helped! <33
Please help WILL MARK BRAINLIST!!!!
Answer:
22
Step-by-step explanation:
2x+x-2=2x+9
3x-2=2x+9
x-2=9
x=11
MN=2x
MN=2(11)
MN=22
a derpartment store sell 152 pair of jeans for 29 each. which is the best estimate of the total sales for the jeans
Answer:
44 dollars
Step-by-step explanation:
Since we need to find the total sales, we do 152 * .29, but we are estimating, therefore, instead we can do 150 * .29, which is 43.5. Rounding up we get 44, thus 44 is our answer