Answers
Answers:
x = 5/2 = 2.5
y = 10
============================================
Explanation:
Focus on the smallest triangle and the medium sized triangle. We can form the proportion 2/4 = x/5 by dividing the corresponding sides together.
Solving for x leads us to the following
2/4 = x/5
2*5 = 4*x
10 = 4x
4x = 10
x = 10/4
x = 5/2
x = 2.5
-----------------
Now focus on the medium sized triangle and the largest triangle. We'll use the same idea as before
4/8 = 5/y
4y = 8*5
4y = 40
y = 40/4
y = 10
Note how each horizontal line is a midsegment, which means that jumping from y = 10 to 5 is us taking half of that value. Then going from 5 to x = 5/2 = 2.5 is another step of cutting in half.
Related Questions
triangles ABE, ADE, and CBE are shown on the cordinate grid, and all the verticals have coordinates that are integers
Answers
Find two numbers whose difference is 10 and whose product is a minimum.
Answers
Answer:
Answer: {-5, 5}. Product is -25, which is the minimum.
Step-by-step explanation:
let a, b denote the two numbers. We know that b-a=10.
We are looking for a minimum over the product a*b.
One can minimize this using derivatives. In case you have not yet had derivatives, you can also use the vertex of a parabola (since the above is a quadratic form):
The minimum is at the vertex a=-5 and so b=5
Their distance is 10, and their product attains the minimum value of all possiblities -25.
Answer:
Step-by-step explanation:
let the numbers be x and y,let y>x
y-x=10
y=x+10
product P=xy=x(x+10)=x²+10x
[tex]\frac{dP}{dx} =2x+10\\\frac{dP}{dx} =0,gives\\2x+10=0\\2x=-10\\x=-5\\\frac{d^2P}{dx^2} =2>0 ~at~x=-5\\[/tex]
∴P is minimum at x=-5
y=x+10=-5+10=5
numbers are -5,5
reverse percentage problem
Answers
answer: you're missing the problem
3) The triangles shown are congruent using ASA, but they arb not marked completely. Mark the corresponding parts in this drawing that must be congruent in order to apply the ASA. Then write the congruence statement in the spaces provided. (2 pts) CAB FDE ____=____
Answers
Answer:
angle A = Angle E
ΔCAB ≅ΔFED
Step-by-step explanation:
ASA means Angle side Angle Where the side is between the two angles
We have an angle C= F and a side AC = EF
We need angle A = Angle E
ΔCAB ≅ΔFED
If a computer prints 225 lines in 3 seconds how many lines can it print per minute
Answers
Answer:
225 lines * 60 seconds = 13500 lines = 4500 lines
3 Seconds 1 minute 3 minutes 1 minute
Step-by-step explanation:
SOMEONE PLEASE HELP ME WITH THIS QUESTION. A circle has a circumference of 36.
What is the area of the circle? Take the pi to be 3.142. State the answer to the nearest whole
number.
Answers
Answer:
The correct answer is - 103.13
Step-by-step explanation:
Given:
Circumference (C) = 36
Area =?
Formula:
Formula of area
A=πr2
formula of circumference
C=2πr
Solution:
C= 36 given so
36 = 2*3.142*r (r is radius)
r = 36/6.284
= 5.729
Putting the value of r in the formula of Solving for Area
A = 3.142*(5.729)^2
= 3.142*32,821
= 103.1124 or 102.3
Complete the table for the given rule. Rule: y = x + 3
Answers
Answer:
Step-by-step explanation:
since there is no table included with the question I'm concluding that you need to find values of y using values of x, simply substitute the x values in the equation and you'll get the y value like this
if x = 1 y = 4
Answer:
x - 0 1 2 3 4 5
y - 3 4 5 6 7 8
It is very simple, all you have to do is add three to x every time, for example if x is 153, y will be 156. 3 should be the beginning, the y intercept in graphs, and the beginning means x should be 0.
Select the correct answer. Which expression is equivalent to 8x^2^3 sqrt 375x + 2^3 sqrt 3x^7, if x=0?
Answers
Answer:
[tex](8x^3)^ \frac{2}{3} \sqrt{75x^3} + 2^3 \sqrt{ 3x^7} =28x^3\sqrt{3x}[/tex]
Step-by-step explanation:
The question is poorly formatted. The original question is:
[tex](8x^3)^ \frac{2}{3} \sqrt{75x^3} + 2^3 \sqrt{ 3x^7[/tex]
We have:
[tex](8x^3)^ \frac{2}{3} \sqrt{75x^3} + 2^3 \sqrt{ 3x^7[/tex]
Open bracket
[tex](8x^3)^ \frac{2}{3} \sqrt{75x^3} + 2^3 \sqrt{ 3x^7} =(8^ \frac{2}{3} *x^{3* \frac{2}{3}}) \sqrt{75x^3} + 2^3 \sqrt{ 3x^7}[/tex]
[tex](8x^3)^ \frac{2}{3} \sqrt{75x^3} + 2^3 \sqrt{ 3x^7} =(8^ \frac{2}{3} *x^2) \sqrt{75x^3} + 2^3 \sqrt{ 3x^7}[/tex]
Express 8 as 2^3
[tex](8x^3)^ \frac{2}{3} \sqrt{75x^3} + 2^3 \sqrt{ 3x^7} =(2^{3* \frac{2}{3}} *x^2) \sqrt{75x^3} + 2^3 \sqrt{ 3x^7}[/tex]
[tex](8x^3)^ \frac{2}{3} \sqrt{75x^3} + 2^3 \sqrt{ 3x^7} =(2^2 *x^2) \sqrt{75x^3} + 2^3 \sqrt{ 3x^7}[/tex]
[tex](8x^3)^ \frac{2}{3} \sqrt{75x^3} + 2^3 \sqrt{ 3x^7} =4x^2 \sqrt{75x^3} + 2^3 \sqrt{ 3x^7}[/tex]
Express 2^3 as 8
[tex](8x^3)^ \frac{2}{3} \sqrt{75x^3} + 2^3 \sqrt{ 3x^7}=4x^2 \sqrt{75x^3} + 8\sqrt{ 3x^7}[/tex]
Expand each exponent
[tex](8x^3)^ \frac{2}{3} \sqrt{75x^3} + 2^3 \sqrt{ 3x^7}=4x^2 \sqrt{25x^2 *3x} + 8\sqrt{ 3x * x^6}[/tex]
Split
[tex](8x^3)^ \frac{2}{3} \sqrt{75x^3} + 2^3 \sqrt{ 3x^7}=4x^2 \sqrt{25x^2} *\sqrt{3x} + 8\sqrt{3x} * \sqrt{x^6}[/tex]
[tex](8x^3)^ \frac{2}{3} \sqrt{75x^3} + 2^3 \sqrt{ 3x^7} =4x^2 *5x *\sqrt{3x} + 8\sqrt{3x} * x^3[/tex]
[tex](8x^3)^ \frac{2}{3} \sqrt{75x^3} + 2^3 \sqrt{ 3x^7} =20x^3\sqrt{3x} + 8x^3\sqrt{3x}[/tex]
Factorize
[tex](8x^3)^ \frac{2}{3} \sqrt{75x^3} + 2^3 \sqrt{ 3x^7} =28x^3\sqrt{3x}[/tex]
Answer:
42x^2 ^3 square root 3x
Step-by-step explanation:
i got it right
what is the corrct answer
Answers
helppppopoop help help help
Answers
Answer:
160
Step-by-step explanation:
Hope this helps
Answer:
Step-by-step explanation:
VOLUME...
1) π*r^2*h
π*(2.5)^2 *h
(π)*(2.5)^2* 6
= 117.8
2) π*r^2*h + 1/2 *[(4/3) · π · r3]
(π)*(3)^2* 3 + 1/2 *[(4/3) · π · 3^3]
84.8+ 56.5 = 141.41
3) (1/3) π*r^2*h
(1/3) π*3^2*h
3^2 + h^2 = 36
h = sqrt(27) = 5.1
(1/3) π*3^2*5.1
= 48.06
Can some please help me? ~ASAP~
Answers
Answer:
B 12 ^ 1/2 x^ 3/2
Step-by-step explanation:
sqrt( 12x^3)
Rewriting the square root as a fractional power
12 ^ 1/2 x^3^1/2
We know that a^b^c = a^ (b*c)
12 ^ 1/2 x^ 3/2
Answer:
B. 12^1/2 x^3/2
Step-by-step explanation:
For example, x^3/2 is equivalent to √x³. The numerator of the exponent represents that number's exponent and the denominator represents the number root.
PLEASE HELP its urgent! If answer is right I'll mark as brainliest:)
The force, F (Newtons), between two objects is inversely proportional to the square of the distance, d (metres), between them.
The force is 0.006 Newtons when the distance between the objects is 3 metres.
Work out d (rounded to 2 DP) when F=0.035 Newtons.
Answers
Answer:
1.24 m
Step-by-step explanation:
F ∝ 1/d²
F = k/d²
Use values given to solve for k
0.006 = k/3²
k = 0.054 (I multiplied both sides by 3² in the equation above)
New equation is F= 0.054/d²
Plug in your numbers so 0.035 = 0.054/d²
0.054/0.035 = d²
You can simplify if you want so d² = 54/35
Square root both sides to solve for d
√54/35 = 1.24 m
Use the Pythagorean Theorem (a? + b2 = (?) to find the missing side length. Round to the nearest tenth.
Answers
Answer: 3.9 (choice A)
==============================================
Work Shown:
a = 1b = unknownc = 4Apply the pythagorean theorem to get
a^2+b^2 = c^2
1^2+b^2 = 4^2
1+b^2 = 16
b^2 = 16-1
b^2 = 15
b = sqrt(15)
b = 3.87298
b = 3.9
A ratio is equal to 3:8 if the antecedent is 21 find the consequent
Answers
Answer:
56
Step-by-step explanation:
To find the "consequent," write out and solve an equation of ratios:
3 x
------- = ------
8 21
Through cross-multiplication, this yields 8x = 63, so that x must be x = 63/8.
Alternatively, solve this modified version of the original equation for x:
3 21
------- = ------
8 x
Then 3x = 8(21), or x = 8(7), or x = 56.
Note that 21 and 56 are in the ratio 3:8
a+b+c=68
a-b=5
b:c=3
-------------------
a,b,c=?
-------------------
Answers
Answer:
a = 32
b= 27
c = 9
Step-by-step explanation:
a= 5+ b from the second equation
c= b/3 from the third equation
substitute the above equations to the first equation then solve for b your answer will be 27
substitute the value of b in the second equation you will solve for a
perform the same substitution to the third equation you will get the answer for c
Step-by-step explanation:
a-b=5<=>a=5+b (1)
b:c=3<=>b=3c (2)
a+b+c=68<=>5+b+3c+c=68<=>5+3c+3c+c=68
<=>7c=63<=>c=9
Fill in (2), we have b=3c=3.9=27
and in (1), we have a=5+b=5+27=32
So, a=32, b=27, c=9
Question 2 of 10
If you apply the changes below to the quadratic parent function, f(x) = x2,
what is the equation of the new function?
• Shift 1 unit left.
• Vertically stretch by a factor of 3.
• Reflect over the x-axis.
A. g(x) = -3(x-1)2
B. g(x) = -3(x + 1)2
C. g(x) = (-3x+1)
D. g(x) = -3x2 - 1
Answers
Given:
The parent function is:
[tex]f(x)=x^2[/tex]
This function shift 1 unit left, vertically stretch by a factor of 3 and reflected over the x-axis.
To find:
The function after the given transformations.
Step-by-step explanation:
The transformation is defined as
[tex]g(x)=kf(x+a)+b[/tex] ... (i)
Where, k is stretch factor, a is horizontal shift and b is vertical shift.
If k<0, then the graph of f(x) is reflected over the x-axis.
If 0<|k|<1, then the graph compressed vertically by factor |k| and if |k|>1, then the graph stretch vertically by factor |k|.
If a>0, then the graph shifts a units left and if a<0, then the graph shifts a units right.
If b>0, then the graph shifts b units up and if b<0, then the graph shifts b units down.
It is given that the graph of f(x) shifts 1 unit left, so a=1.
The graph of f(x) vertically stretch by a factor of 3, so |k|=3.
The graph of f(x) reflected over the x-axis, so k=-3.
There is no vertical shift, so b=0.
Putting [tex]a=1,k=-3,b=0[/tex] in (i), we get
[tex]g(x)=-3f(x+1)+0[/tex]
[tex]g(x)=-3f(x+1)[/tex]
[tex]g(x)=-3(x+1)^2[/tex] [tex][\because f(x)=x^2][/tex]
Therefore, the correct option is B.
Which represents the solution(s) of the system of equations, y = x2 – 2x – 15 and y = 8x - 40? Determine the solution set algebraically. O (-5, -80) (5,0) O (5,0) and (-5, -80) O no solutions
Answers
Answer:
(5, 0)
Step-by-step explanation:
Se the equations equal
x² - 2x - 15 = 8x - 40
Subtract 8x from both sides
x² - 10x - 15 = -40
add 40 to both sides
x² - 10x + 25 = 0
Factor
(x - 5)(x - 5) = 0
x = 5
---------------
plug in x = 5 into
y = 8x - 40
y = 8(5)- 40
y = 0
-----------------
Solution
(5, 0)
What must be a factor of the polynomial function f(x) graphed on the coordinate plane below?
Answers
==========================================================
Explanation:
The x intercepts (aka roots) are where the graph crosses or touches the x axis. These locations directly correspond to help set up the factors.
The root x = -6 shows that x+6 is a factor.
Effectively, we add 6 to both sides so that we go from x = -6 to x+6 = 0.
Answer please thanks. Brainliest
Answers
Answer:
its the 3rd answer
Step-by-step explanation:
Answer:
t-h=negative
Step-by-step explanation:
What is the definition of exponential growth?
Any help out there
Answers
Answer:
Exponential growth is a process that increases quantity over time. It occurs when the instantaneous rate of change of a quantity with respect to time is proportional to the quantity itself.
Answer:
The answer is probably B. If not it might be C.
Step-by-step explanation:
Exponential growth is growth that becomes more and more rapid. I hope this helps :).
help please!!!!!!!!!!!!!!!
Answers
Answer:
C
Step-by-step explanation:
.........................
Find the sum of the first seven prime numbers that have a units digit of 7.
Answers
Answer:
7, 17, 37, 47, 73, 79, 97
Step-by-step explanation:
they have 7's as one of their digits
Suppose that the 100 people in society C all know the same 10 facts, while the 10 people in society D specialize, with each person knowing 5 unique facts as well as 5 facts also known by the other 9 members of the society. If the standard of living is roughly equivalent to the average number of social facts known per person, how many times better is the standard of living in society D
Answers
Answer:
29 times
Step-by-step explanation:
Given :
Society C ;
Population = 100
Number of facts known = 10
Average fact known per person = known fact / population = 10 / 100 = 0.1
Society D:
Population = 19
Common fact = 5
Specialized fact = 5 * 10 = 50
Total facts = 55
Average fact known per person = 55 / 19 = 2.8947368 fact per person
Number of times society D is better :
2.8947368 / 0.1 = 28.947 times
Approximately 29 times
In a city, the distance between the library and the police station is 3 miles less than twice the distance between the police station and the fire station. The distance between the library and the police station is 5 miles. How far apart are the police station and the fire station?
Answers
Answer:
4 miles apart. the answer this question.
Suppose your mother can clean your kitchen in 30 minutes. You can clean the kitchen in 45 minutes. How long will it take you and your mother to clean the kitchen working together? (write equation and show work to solve)
Answers
Answer:
it will take 18 min
Step-by-step explanation:
1/45+1/30=2/90+4/90=5/90=90 divided by 5 is 18
The owner of a smoothie company wants to rent a kiosk in the new mall. He is choosing between two spaces. Both have floor plans shaped like parallelograms. The first space is 12 feet wide and 16 feet long. The second space is 13 feet wide and 15 feet long. Which is the larger space? Explain.
Answers
Answer:
The second space (13 feet wide & 15 feet long) is the larger space.
Step-by-step explanation:
According to the question,
Given, The owner of a smoothie company wants to rent a kiosk in the new mall. He is choosing between two spaces. Both have floor plans shaped like parallelograms. The first space is 12 feet wide & 16 feet long ( Rectangle, A Type of Parallelogram).Thus, The Area Of Rectangle = Length x Width ⇒ 12 × 16 ⇔ 192 Feet² .
The second space is 13 feet wide & 15 feet long( Rectangle, A Type of Parallelogram) .Thus, The Area Of Rectangle = Length x Width ⇒ 13 × 15 ⇔ 195 Feet² . Hence it is Clearly Shown here the The second space (13 feet wide & 15 feet long) is the larger space .
Simplify cot x - cos to the power 3 x csc x
Answers
I hope it will helpful for u
Please help!!!!!!!!!!!!
Answers
Forgive me if I am wrong
Mark is receiving a pay rise of 7%. He currently earns £15,000. How much will Mark earn after his pay rise?
Answers
Answer:
£16,050
Step-by-step explanation:
Mark's current pay is £15,000.
His pay raise is 0.07(£15,000), or £1,050
His new pay is the sum of these two results: £15,000 + £1,050 = £16,050
What is the answer to this
Answers
umm I don't know hehe oops
Answer:
Length of old board = 68.2cm
Step-by-step explanation:
Let old board length be x
Given new board is 120 % longer than old board = x + 120% of x
Length of new board = 150cm
Therefore,
x + 120% of x = 150
[tex]x + \frac{120}{100} x = 150\\\\x + 1.20x = 150\\\\2.2x = 150 \\\\x = 68.18 = 68.2cm[/tex]