Answer:
7.81
Step-by-step explanation:
Answer:
[tex] \sqrt{66} [/tex]
Step-by-step explanation:
By geometric mean property:
[tex]BD = \sqrt{6 \times 5} = \sqrt{30} \\ \\ In \: \triangle ABD: \\ by \: pythagoras \: theorem : \\ \\ AD^2 = AB^2 + BD^2 \\ \\ {x}^{2} = {6}^{2} + {( \sqrt{30}) }^{2} \\ \\ {x}^{2} = 36 + 30 \\ \\ {x}^{2} = 66 \\ \\ x = \sqrt{66} [/tex]
Which equation best represents the comparison sentence
Answer:
5
Step-by-step explanation:
someone give the worked solution for this please!!!!
Answer:
The scale Myra should use is one graph unit = 400 km or;
←--→ = 400 km
Step-by-step explanation:
The question relates to the representation of scale drawing
The actual distance between Perth and Sydney = 3294 kilometers
The given coordinates of Perth on the grid = (1.3, 3.4)
The given coordinates of Sydney on the grid = (9.2, 3.3)
The measure of the distance between Perth and Sydney, 'd', is given by using the following formula for finding the distance between two points given their 'x', and 'y' coordinates;
[tex]d = \sqrt{\left (x_{2}-x_{1} \right )^{2}+\left (y_{2}-y_{1} \right )^{2}}[/tex]
Therefore, by substitution, we have;
[tex]d = \sqrt{\left (9.2-1.3 \right )^{2}+\left (3.3-3.4 \right )^{2}} = \sqrt{\left (7.9 \right )^{2}+\left (-0.1 \right )^{2}} = \dfrac{\sqrt{6242} }{10} \approx 7.9[/tex]
d ≈ 7.9 units
Therefore, we have;
7.9 units of the graph = 3294 kilometers
1 unit of the graph ≈ 3294/7.9 km = 416.962025316 km ≈ 416.96 km
Therefore, the scale Myra should use for her map is 1 unit = 400 km.
what is the initial value of the function:
f(x)=3/2(2)^x
Answer:
the initial value -- f(0) -- results in a value of 1.5
Step-by-step explanation:
f(0) = [tex]\frac{3}{2}[/tex] · [tex]2^{x}[/tex] (any value raised to the power of zero equals one)
f(0) = [tex]\frac{3}{2}[/tex] · 1
f(0) = 3/2 or 1.5
Find the degree of 3y4+ 5y
Answer:
4
Step-by-step explanation:
(3y^4+5y) =
(3⋅y^4+5⋅y)
=4
Which are pairs of vertical angles? \
A = ∠COB & ∠COA
B = ∠BOD & ∠AOD
C = ∠COB & ∠AOD
D = ∠AOD & ∠AOC
Answer:
it is b sorry I tried to work out it best have a nice day
Answer:
a=
Step-by-step explanation:
..A cuboid is of dimensions 100cm x 60cmx40cm
How many small cuboids of dimensions
5cm x 8cm x 10cm can be placed in the
given cuboid.
Answer:
600
Step-by-step explanation:
Volume big cuboid=100×60×40=240000cm³
Volume small cuboid=5×8×10=400
Number of small cuboids that can fit= 240000/400=600
What is an equation of the line that passes through the points (-6, 2) and
(-4, -1)? Put your answer in fully reduced form.
Answer (assuming the equation can be written in point-slope form):
[tex]y-2 = -\frac{3}{2}(x+6)[/tex]
Step-by-step explanation:
When knowing a point the line crosses through and its slope, you can write an equation in point-slope form, or [tex]y-y_1= m (x-x_1)[/tex].
1) First, find the slope of the line. Use the slope formula [tex]\frac{y_2-y_1}{x_2-x_1}[/tex] and the x and y values of the two points given, then solve like so:
[tex]\frac{(-1)-(2)}{(-4)-(-6)}\\= \frac{-1-2}{-4+6}\\= \frac{-3}{2}[/tex]
Thus, the slope is [tex]-\frac{3}{2}[/tex].
2) Now, use point-slope form, [tex]y-y_1= m (x-x_1)[/tex]. Substitute the [tex]m[/tex], [tex]x_1[/tex], and [tex]y_1[/tex] for real values.
The [tex]m[/tex] represents the slope, so substitute [tex]-\frac{3}{2}[/tex] in its place. The [tex]x_1[/tex] and [tex]y_1[/tex] represent the x and y values of one point the line crosses through. Any of the two points will work, and I chose (-6,2) for this answer. So, substitute -6 for
[tex]y-(2)= -\frac{3}{2}(x-(-6)\\y-2 = -\frac{3}{2}(x+6)[/tex]
Find 39.5% of 373. Round to the nearest hundredth
39.5% of 373. is 147.336
Mr. Tuyen uses 7/8 of a tank of gas each week to drive to and from his job. How many tanks of gas does Mr. Tuyen use in 5 weeks?
Answer:
35/8; 5 2/8
Step-by-step explanation:
7/8 × 5 = 35/8
35/8 should be simplified down to 5 and 2/8th tanks
Dawson baked one pie in 7/12 of an hour. How long will it take Dawson to bake 9 pies
2x + 8y = 28
2x + 8y = 29
e?
Answer:
The question is unclear. what is e?
Brent's neighborhood is putting down new mulch at the playground and he is in Charge of buying the mulch. One bag covers 3 yd.². How many bags will he need?
Answer:
I don't know but 4 could be it
Step-by-step explanation:
The 10th, 4th and 1st term of an A.P are three consecutive find the common ratio of the G.P and the sum of the 6th term, taking the 1st term to be 4
Answer:
Common ratio=1/2
Sum of first 6 terms of an A.P=31.5
Step-by-step explanation:
Let a be the first term and d be the common difference of an A.P
a=4
nth term of an A.P
[tex]a_n=a+(n-1)d[/tex]
Using the formula
[tex]a_4=a+3d=4+3d[/tex]
[tex]a_{10}=a+9d=4+9d[/tex]
According to question
We know that
For G.P
[tex]\frac{a_n}{a_{n-1}}=r[/tex]=Common ratio
[tex]r=\frac{4+3d}{4+9d}=\frac{4}{4+3d}[/tex]
[tex]\frac{4+3d}{4+9d}=\frac{4}{4+3d}[/tex]
[tex](4+3d)^2=\frac{4}{4+3d}[/tex]
[tex]16+9d^2+24d=16+36d[/tex]
[tex]9d^2+24d-36d-16+16=0[/tex]
[tex]9d^2-12d=0[/tex]
[tex]3d(3d-4)=0[/tex]
[tex]d=0, d=4/3[/tex]
Substitute the value of d
When d=0
[tex]r=\frac{4}{4+3d}=\frac{4}{4+0}=1[/tex]
When d=4/3
[tex]r=\frac{4}{4+3\times \frac{4}{3}}=\frac{1}{2}[/tex]
But we reject d=0 because if we take d=0 then the terms are not consecutive terms of G.P
Sum of n terms of an A.P
[tex]S_n=\frac{n}{2}(2a+(n-1)d)[/tex]
Using the formula
Substitute n=6 and d=1/2
[tex]S_6=\frac{6}{2}(2(4)+5\times \frac{1}{2})[/tex]
[tex]S_6=31.5[/tex]
Each time you take your dog to the dog park it costs $1.75. Write an expression that represents the cost of n visits to the dog park.
Answer:
1.75n
For each visit it costs 1.75, so n visits would be the product of the two.
Step-by-step explanation:
Answer:
1.75n
Step-by-step explanation:
"every time" means multiplication.
Total cost is $1.75 multiplied by n number of trips.
(for instance, if you take 3 trips, it would be 1.75+1.75+1.75, or 1.75*3)
Find the slope of the line passing through the points (-3,5) and (-3,-7)? can anyone help me
===========================================
Explanation:
Let's apply the slope formula
m = (y2-y1)/(x2-x1)
m = (-7-(-3))/(-3-(-3))
m = (-7+3)/(-3+3)
m = -4/0
We run into trouble because 0 is in the denominator. We cannot divide by zero. This is why the slope is undefined.
The two points (-3,5) and (-3,-7) form a vertical line when you draw a line through them. All vertical lines have an undefined slope.
Put another way: the x coordinates of both points are the same (both are -3), so when we subtract those x coordinates, we end up with 0 in the denominator that leads to an undefined slope.
Evaluate the expression 9.3^1
Answer:
9.3
Step-by-step explanation:
Solve the simultaneous equations.
Please help.
Answer:
the answer is x= 5 and y = 1.5
Here we have been given with two equations and we will solve them by elimination by substitution method inorder to get the value of x and y.
5x - 4y = 19 (Equation No 1)x + 2y = 8 (Equation No 2)★ From Equation No 2 :-
>> x + 2y = 8
>> x = 8 - 2y
★ In Equation No 1 :-
Substituting here the value of x which we got above as (8 - 2y).
>> 5x - 4y = 19
>> 5 (8 - 2y) - 4y = 19
>> 40 - 10y - 4y = 19
>> 40 - 14y = 19
>> -14y = 19 - 40
>> -14y = -21
>> 14y = 21
>> y = 21 / 14
>> y = 1.5
★ Finding out value of x :-
>> x = 8 - 2y
>> x = 8 - 2 (1.5)
>> x = 8 - 2 × 1.5
>> x = 8 - 3
>> x = 5
What is the slope of y= -4x-3
Triangle XYZ is rotated 90° counterclockwise about the origin.
What are the coordinates of point Y’?
(4, –2)
(1, 4)
(–4, 1)
(–1, –4)
Answer:
i think 42
Step-by-step explanation:
Answer:
B -(1,4)
Step-by-step explanation:
PLS HELP Select all the expressions that are equivalent to 3b
Answer:
The equivalent expressions are A. and E.
Answer:
a, b, e
Step-by-step explanation:
a= 3b
b= 3b
c= b^3
d= b+3
e= 3b
please help me i need help
Answer:
21/8 cups of vegetables per cup of cheese
There are two numbers that
multiply to -45 and combine to 12. Find
the two numbers, then the LARGER
number is your answer for this question.
Answer:
The large number is 15
Step-by-step explanation:
15 * (-3) = -45
15 + (-3) = 12
Solve this system of linear equations. Separate the x- and y- values with a comma.
17x = 43 - 15y
8x = -68 + 15y
Answer:
(-1,4)
Step-by-step explanation:
Using elimination, add the two equations to get rid of the y variable.
17x = 43 - 15y
+8x = -68 + 15y
=25x = -25
x = -1
Now plug in -1 for x in any of the equations.
17(-1) = 43 - 15y
-17 = 43 - 15y
-60 = -15y
y = 4
PLEASE HELP!!!
The perimeter of a rectangular coffee table is given by the trinomial 2t2+4t+2. The table's length is 2t-3. What is the table's width?
Answer:
t^2+4
Step-by-step explanation:
The perimeter of the table can be given by the equation 2l+2w, and we know the length is 2t-3, meaning 2(2t-3)+2w=2t^2+4t+2, as we know 2t^2+4t+2 is the perimeter. Simplifying we get:
4t-6+2w=2t^2+4t+2
4t+2w=2t^2+4t+8
2w=2t^2+8
w=t^2+4
This means that the table's width is t^2+4
Please help with what you can!
Thank you!
Answer:
The answer to number 9 is: 148.16
Simplify the expression
6x -(5x-4)
Answer:
x + 4 OR 1x + 4
Hope this helps, thank you !!
y = -x + 6
what’s the solution?
Answer:
Assuming you are solving for x:
x = 6 - y
Step-by-step explanation:
y = -x + 6
y + x = 6
x = 6 - y
Estimate the equation of the line of best fit for the following graphs.
Step-by-step explanation:
the one on the left (b)
y= mx+b
at x= 0 y = -2
then b= -2
at x= -1 y= 1
1= -m -2
m= -3
y= -3x -2
......
the one on the right side (d)
at x= 2 y = 1
at x= 4 y = 2
1= 2m+b
2= 4m +b
subtract
1= 2m
m= 1/2
y= 1/2 x
BAKE SALE Cassandra and Alberto are selling pies for a fundraiser. Cassandra sold 3 small pies and 14 large pies for a total of $203. Alberto sold 11 small pies and 11 large pies for a total of $220. Determine the cost of each pie.
Answer:
Large pie = 13
small pie = 7
Step-by-step explanation:
hope this helps!
Taking into account the definition of a system of linear equations, the cost of each small pie is $7, while the cost of each large pie is $13.
A system of linear equations is a set of two or more equations of the first degree, in which two or more unknowns are related.
Solving a system of equations consists of finding the value of each unknown so that all the equations of the system are satisfied. That is, the values of the unknowns must be sought, with which when replacing, they must give the solution proposed in both equations.
In this case, a system of linear equations must be proposed taking into account that:
x: cost of each small piey: cost of each large pieCassandra sold 3 small pies and 14 large pies for a total of $203. This is represented by: 3x + 14y= 203
Alberto sold 11 small pies and 11 large pies for a total of $220. This is represented by: 11x + 11y= 220
So, the system of equations to solve is:
[tex]\left \{ {{3x+14y=203} \atop {11x+11y=220}} \right.[/tex]
There are various methods to solve a system of equations, it is decided to solve by the substitution method, which consists of solving one of the two variables in one of the equations of the system and substituting its value in the other equation.
In this case, isolating the variable y from the first equation, you obtain:
14y= 203 - 3x
y= (203 - 3x) ÷14
y= 14.5 - [tex]\frac{3}{14}[/tex]x
Replacing this expression in the second equation and solving, you obtain:
11x + 11×(14.5 - [tex]\frac{3}{14}[/tex]x)= 220
11x + 11×14.5 - 11×[tex]\frac{3}{14}[/tex]x= 220
11x + 159.5 - [tex]\frac{33}{14}[/tex]x=220
11x - [tex]\frac{33}{14}[/tex]x=220 - 159.5
[tex]\frac{121}{14}[/tex]x= 60.5
x= 60.5÷ [tex]\frac{121}{14}[/tex]
x= 7
Finally, to obtain the value of y, it is replaced in the expression previously obtained for y:
y= 14.5 - [tex]\frac{3}{14}[/tex]x
y= 14.5 - [tex]\frac{3}{14}[/tex]×7
y= 14.5 - [tex]\frac{3}{2}[/tex]
y= 13
Finally, remembering that x represents the cost of each small pie and y represents the cost of each large pie, so the cost of each small pie is $7, while the cost of each large pie is $13.
Learn more about system of equations:
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https://brainly.com/question/7487907?referrer=searchResults
37 degrees Celsius to Fahrenheit
Answer:
98.6 Fahrenheit
Step-by-step explanation: