Answers
Use corresponding parts of the two triangles.
If two triangles are similar, then the lengths of corresponding parts are proportional.
The small triangle has a vertical side that measures 6 ft. That side corresponds to the height of the tree, h, in the large triangle.
The small triangle has a horizontal side that measures 10 ft. That side corresponds to the side of the large triangle that measures 40 ft.
6 ft corresponds to h
10 ft corresponds to 40 ft
[tex] \dfrac{6}{h} = \dfrac{10}{40} [/tex]
Answer:
Step-by-step explanation:
I think its D.
Related Questions
What is 1 17/24 simplified
Answers
1(17/24) simplified is 41/24.
We have,
To simplify the mixed number 1 17/24, we need to convert it to an improper fraction.
To do that, we multiply the whole number (1) by the denominator of the fraction (24), and then add the numerator (17):
1 x 24 + 17 = 24 + 17 = 41
So, the mixed number 1 17/24 is equivalent to the improper fraction 41/24.
Therefore,
1(17/24) simplified is 41/24.
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Solve the following equation : 7x/15-1=22
Answers
-----------------
To solve this all it takes is two simple steps
Simplify [tex] \frac{7x}{15-1} =22[/tex]
1/2x =22
------------------------
Multiply both sides by 2
2 · [tex] \frac{1}{2} [/tex] = 2 · 22
x = 44
[tex]\boxed{\boxed{Rearrange \ the \ equation \ by \ subtracting}}[/tex]
[tex] \left[\begin{array}{ccc}\boxed{\boxed{ 7*x/15-1-(22)=0 }}\end{array}\right] [/tex]
[tex]\boxed{((7* \frac{x}{15)}-1)-22=0}} [/tex]
[tex] \left[\begin{array}{ccc} \frac{(7x - 15) }{15} -22=0\end{array}\right] [/tex]
[tex]Add \ 345 \ to \ both \ sides \ of \ the \ equation : \\ \\ 7x = 345 \\ \\ Divide \ both \ sides \ of \ the \ equation \ by \ 7: x = 345/7 = \boxed{\boxed{49.28}} [/tex]
Hope this helps you!
Suppose a life insurance company sells a $250,000 one-year term life insurance policy to a 20-year-old female for $320. The probability that the female survives the year is 0.999647. Compute and interpret the expected value of this policy to the insurance company.
Answers
A is directly proportional to B.
If A is 9, when B is 3, then A is _____, when B is 6.
Answers
So to find A we must multiply B (6) by 3 to get a
6 x 3 = 18
A is 18, when B is 6
Which figure is the image of figure P after a rotation of 270° clockwise? Assume that the center of rotation is the origin.
A.
figure A
B.
figure B
C.
figure C
D.
figure P
Answers
hope this helps
On which triangle can the law of cosines be applied once to find an unknown angle measure? Law of cosines: a2 = b2 + c2 – 2bccos(A)
options are in the pics
Answers
Answer: The correct option is 4.
Explanation:
The formula of law of cosine is,
[tex]a^2=b^2+c^2-2bc\cos(A)[/tex]
Where a,b,c are sides of the triangle and A is the interior angle of vertex A.
Reason for correct option:
From the above formula we can easily conclude that to find an unknown angle measure we need the length of all sides of the triangle.
In figure 4 all sides are given, so the correct option is 4.
Reason for incorrect option:
In figure 1,2 and three all sides are not known, so we can apply the cosine rule to mind the unknown angle measure.
Therefore option 1,2 and 3 are incorrect.
Dave swam 6 laps and did 9 dives at the swimming pool. Crystal did 4 dives and swam 8 laps. How many more laps than dives did crystal and Dave do
Answers
22 gallons of gas cost $65.56 what is the unit rate for one gallon of gas
Answers
If we would want to find out what it would be, we would have to divide it.
Your correct answer would be (2.98)
I did 65.56/22.
Hope this helps you!
When you find the unit rate, you have the input factor, (or the unit you want to find) equal to 1.
22/22= 1
Divide the price of the gas $65.56 by 22.
65.56/22= 2.98
Each gallon of gas is $2.98.
I hope this helps!
~kaikers
Quadrilateral ABCD is inscribed in this circle.
What is the measure of ∠A
Answers
106 degerees.
m<A + m<C = 180
m<A + 74 = 180
m<A = 106
a square parking lot has an area of 225 yards.There is a sidewalk along one side of the parking lot.How long is the sidewalk
Answers
Answer: 56.25
Step-by-step explanation:
Since there are four sides to a square and the area is 225 yards you would -
225 yards/ 4 sides
= 56.25 yards per side
Solve the equation for y. Then graph the equation.
5x – 4y = 12
A.
B.
C.
D.
Answers
The first thing you should do for this case is clear and equation.
Clearing we have:
Step 1:
5x - 12 = 4y
Step 2:
y = (5x - 12) / (4)
Step 3:
y = (5/4) x - 3
Step 4:
See attached graph.
Answer:
y = (5/4) x - 3
Describe the graph y=4[x+2] on [0, 3). Be specific in your description.
Answers
Answer: The description is mentioned in the below explanation.
Step-by-step explanation:
Since greatest integer function rounds down a real number to the nearest integer. for example, if f(x)=[x] and for x =1.3 f(x)= [1.3]= 1
or x= 0.9 f(0.9)= [0.9]= 0
Here, The given function, y=4[x+2]
Which is a greatest integer function and it is described on [0,3)
So, For the values of [tex]1 >x\geq 0[/tex],we take x=0 ⇒ y= 4(0+2)= 8
For, [tex]2>x\geq 1[/tex] , we take x=1, ⇒ y = 4(1+2)= 12
For, [tex]3>x\geq 2[/tex] we take x=2, ⇒ y = 4(2+2)=16
The graph description for the open or close interval, is mean describe values of variable for the interval. The graph [tex]y=4[x+2][/tex] is described and the values of y we get are 8,12, and 16 for the values of x as 0,1 and 2.
How to graph integer on a number line?Integer keeps the values as positive or the negative and graphed at the number line.
Given information-
The function of the graph given in the problem is,
[tex]y=4[x+2][/tex]
This function need to be describe on the points [0,3).
The close bracket is used in left side means the value 0 is included and the open bracket is used in right side means the value 3 is excluded.
Thus find the value of variable y for the different intervals o x,
The interval is,
[tex]0\leq x<3[/tex]
When the value of x is 0 at interval [tex]0\leq x<1[/tex],
[tex]y=4(0+2)\\y=4\times2\\y=8[/tex]
When the value of x is 1 at interval [tex]1\leq x<2[/tex],[tex]y=4(1+2)\\y=4\times3\\y=12[/tex]
When the value of x is 2 at interval [tex]2\leq x<3[/tex],[tex]y=4(2+2)\\y=4\times4\\y=16[/tex]
The graph of the given point is attached below.
Thus the graph [tex]y=4[x+2][/tex] is described and the values of y we get are 8,12, and 16 for the values of x as 0,1 and 2.
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Tina bought two sweaters for $15.50 each and a skirt for $19. What
was the total amount of her bill if she had to pay a sales tax of
5.75%?
a. $36.40
b. $50
c. $52.88
d. $56.40
HELP ASAP ANSWER IS NOT A
Answers
Alegbra 2 honors need help
Answers
(2^3)(2^-4) = 2^(3-4) = 2^-1 = 1/2
answer is D.
add exponents and keep the same base.then find the reciprocal and change the sign of the exponent
Answer:
Step-by-step explanation:
2^3)(2^-4) = 2^(3-4) = 2^-1 = 1/2
answer is D.
add exponents and keep the same base.then find the reciprocal and change the sign of the exponent
When disposal materials are dropped more than 20 feet to an exterior location, an enclosed chute must be used. true or false?
Answers
The assertion is not totally true.
It is not always necessary to dispose of debris dropped more than 20 feet to the outside using an enclosed chute.
It is crucial to check the precise restrictions that apply in your area as building codes and regulations might differ based on the jurisdiction.
It is important to keep in mind that, in some circumstances, a covered chute may be necessary for safety reasons or to stop the materials from spreading or causing harm while being disposed of.
These specifications may be unique to certain locales, building types, or construction projects.
Therefore, it is crucial to check your area's construction laws and regulations to ascertain the precise specifications for disposal requirements.
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The difference of the squares of two positive consecutive even integers is 76. find the integers. use the fact that, if x represents an even integer, then x+2 represents the next consecutive even integer.
Answers
(x + 2)² - x² = 76
We should find the value of x to know the smaller integer.
(x + 2)² - x² = 76
simplify the quadratic expression for (x + 2)²
(x + 2)² - x² = 76
(x + 2)(x + 2) - x² = 76
x² + 2x + 2x + 4 - x² = 76
x² - x² + 4x + 4 = 76
4x + 4 = 76
Solve for x
4x = 76 - 4
4x = 72
x = 72/4
x = 18
Find the bigger integer
x + 2 = 18 + 2 = 20
The integers are 18 and 20
The two positive consecutive even integers that, when their squares are subtracted, equal 76 are 18 and 20.
Explanation:In this problem, the two positive consecutive even integers can be represented as x and x+2. The problem states that the difference of their squares is 76, which can be put into the equation (x + 2)^2 - x^2 = 76. By simplifying this equation, we get 4x + 4 = 76. Solving for x, we find that x = 18. Therefore, the two consecutive even integers are 18 and 20.
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Consider a function that describes how a particular car’s gas mileage depends on its speed. What would be an appropriate domain for this function?
Answers
o to 100 miles per hour
Classify the model as exponential growth or exponential decay. Identify the growth or decay factor AND the percent of increase per time period.
y=10(0.2)^t
Plz help!
Answers
The decay factor is 0.2.
The change per period is (0.2 -1)*100% = -80%. The negative sign means it is a decrease of 80% per period.
algebra 2 unit 2 question. connexus.
Answers
The correct answer is the first option: y=(2x-1)(2x-3)(2x+5)
Because: if you give values to the variable "x" and graphic each point calculated, you will obtain the graph above. For example:
If x=-3/2:
y=(2x-1)(2x-3)(2x+5)
y=(2(-3/2)-1)(2(-3/2)-3)(2(-3/2)+5)
y=48 (As you can see in the graph)
If x=0:
y=(2x-1)(2x-3)(2x+5)
y=(2(1)-1)(2(1)-3)(2(1)+5)
y=15 (It is shown in the graph)
If x=1:
y=(2x-1)(2x-3)(2x+5)
y=(2(1)-1)(2(1)-3)(2(1)+5)
y=-7 (As you can see the graph attached)
What single transformation is required to map one of these congruent triangles onto the other?
Answers
why?? because i is just like a mirror it is reflected on the other side
Answer:
its reflection
Step-by-step explanation:
I did it on edge ; )
Perform the indicated operation 7 1/8 times 5 2/3
Answers
Answer: The required result is [tex]40\dfrac{3}{8}.[/tex]
Step-by-step explanation: We are given to perform the following indicated operation :
[tex]E=7\dfrac{1}{8}\times5\dfrac{2}{3}~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~(i)[/tex]
To perform the given multiplication, first we need to convert the mixed fraction to improper fraction.
The simplification of the given operation is as follows :
[tex]E\\\\\\=7\dfrac{1}{8}\times5\dfrac{2}{3}\\\\\\=\dfrac{57}{8}\times\dfrac{17}{3}\\\\\\=\dfrac{19\times17}{8}\\\\\\=\dfrac{323}{8}\\\\\\=40\dfrac{3}{8}[/tex]
Thus, the required result is [tex]40\dfrac{3}{8}.[/tex]
In the figure, p || q.
Identify each pair of equal angles as vertical angles, corresponding angles, alternate interior angles, or alternate exterior angles.
m<3 = m<7:
m<1 = m<4:
m<5 = m<8:
m<1 = m<5:
m<1 = m<8:
m<2 = m<6:
m<2 = m<3:
m<4 = m<8:
m<6 = m<7:
m<3 = m<6:
m<2 = m<7:
m<4 = m<5:
Answers
m<2=m<6= corresponding
m<3=m<6= alternate interior
m<4=m<5= alternate interior
m<1=m<8= alternate exterior
m<2=m<7= alternate exterior
m<1=m<4= vertical
m<5=m<8= vertical
m<2=m<3= vertical
m<6=m<7= vertical
Answer:
Vertical angles : Opposite angles made by two intersecting lines.
Corresponding angles : which occupy the same relative position at each intersection where a straight line crosses two others.
Alternate interior angles : when a transversal passes through two line then the angles that are formed on opposite sides of the transversal and inside the two lines.
Alternate exterior angles : angles on the outer side of each of those two lines but on opposite sides of the transversal.
Here, line k passes through the lines p and q,
Thus, by the above explanation,
Vertical pairs are, angle 1 and angle 4, angle 2 and 3, angle 5 and angle 8, angle 6 and 7,
Corresponding pairs,
angle 2 and angle 6, angle 1 and angle 5, angle 4 and angle 8, angle 3 and angle 7,
Alternate interior angles pair,
angle 4 and angle 5, angle 6 and angle 3,
Alternate exterior angles pair,
angle 2 and angle 8, angle 1 and angle 7,
Vertical angles are always equal in measure,
Now, the p and q are parallel lines,
So, the corresponding angles will be congruent as well as alternative interior or exterior will be congruent.
Therefore, the required pair,
Corresponding pairs :
m∠1=m∠5
m∠2=m∠6
Alternative interior pairs :
m∠3=m∠6
m∠4=m∠5,
Alternate exterior pairs :
m∠1=m∠8
m∠2=m∠7
Vertical pairs :
m∠1=m∠4
m∠5=m∠8
m∠2=m∠3
m∠6=m∠7
the public library has an approximate length of 1 x 10^5 millimeters and width of 8 x 10^4 millimeters. what is the area, in square milliters, of the public library?
a. 8 x 10^9 square millimeters
b. 9 x 10^9 square millimeters
c. 8 x 10^20 square millimeters
d. 9 x 10^20 square millimeters
Answers
.. = (1*10^5 mm)*(8*10^4 mm)
.. = (1*8)*10^(5+4) mm^2
.. = 8*10^9 mm^2
Selection A is appropriate.
Factor 1-3
1. X to the second power -14x+45
2.X to the second power -15x+36
3.X to the second power -7x-44
Answers
You need two numbers that multiply to 45 and add to -14.
Since the numbers must multiply to a positive number, 45, they must both be positive or both be negative. Since they must add to -14, they must both be negative.
[tex] -9 \times (-5) = 45 [/tex]
[tex] -9 + (-5) = -14 [/tex]
The numbers are -9 and -5.
[tex] x^2 - 14x + 45 = (x - 9)(x - 5) [/tex]
2. [tex] x^2 - 15x + 36 [/tex]
You need two numbers that multiply to 36 and add to -15.
Since the numbers must multiply to a positive number, 36, they must both be positive or both be negative. Since they must add to -15, they must both be negative.
[tex] -12 \times (-3) = 36 [/tex]
[tex] -12 + (-3) = -15 [/tex]
The numbers are -12 and -3.
[tex] x^2 - 15x + 36 = (x - 12)(x - 3) [/tex]
3. [tex] x^2 - 7x - 44 [/tex]
You need two numbers that multiply to -44 and add to -7.
Since the numbers must multiply to a negative number, -44, one number is positive, and one number is negative.
[tex] -11 \times 4 = -44 [/tex]
[tex] -11 + 4 = -7 [/tex]
The numbers are -11 and 4.
[tex] x^2 - 7x - 44 = (x - 11)(x + 4) [/tex]
Solve by factoring:
1. [tex] x^2 - 15x + 50 = 0 [/tex]
[tex] (x - 10)(x - 5) = 0 [/tex]
[tex] x - 10 = 0 [/tex] or [tex] x - 5 = 0 [/tex]
[tex] x = 10 [/tex] or [tex] x = 5 [/tex]
2. [tex] x^2 = -2x + 15 [/tex]
[tex] x^2 + 2x - 15 = 0 [/tex]
[tex] (x - 3)(x + 5) = 0 [/tex]
[tex] x - 3 = 0 [/tex] or [tex] x + 5 = 0 [/tex]
[tex] x = 3 [/tex] or [tex] x + 5 = 0 [/tex]
[tex] x = 3 [/tex] or [tex] x = -5 [/tex]
Which expression is equivalent to the expression below?
Answers
Answer:
C. [tex]\dfrac{1}{(m-4)(m-3)}[/tex]
Step-by-step explanation:
First note that
[tex]m^2-16=(m+4)(m-4) \quad \text {and} \quad m^2-9=(m+3)(m-3)[/tex]
On the other hand, the expression from the question is equivalent to
[tex]\dfrac{m+3}{m^2-16} \cdot \dfrac{m+4}{m^2-9}=\dfrac{m+3}{(m+4)(m-4)}\dfrac{m+4}{(m+3)(m-3)}[/tex]
we cancel the equal terms in the numerator and the denominator and finally we get that our expression is equivalent to
[tex]\dfrac{1}{(m-4)(m-3)}[/tex]
I need help with finding Angle B
Answers
notice that, the diagonal is really just a traverse line cutting through the parallel segments of AB and DC, and since those angles are alternate interior ones, that means 5y - 1 = 7y - 15, and 6x - 6 = 4x + 2, therefore
[tex]\bf 5y-1=7y-15\implies 14=2y\implies \cfrac{14}{2}=y\implies \boxed{7=y} \\\\\\ 6x-6=4x+2\implies 2x=8\implies x=\cfrac{8}{2}\implies \boxed{x=4}\\\\ -------------------------------\\\\ \measuredangle BAC = 5(7)-1\implies 34\qquad \measuredangle BCA=4(4)+2\implies 18 \\\\\\ therefore\qquad \measuredangle B=180-\measuredangle BAC-\measuredangle BCA[/tex]
***Need answered ASAP***... PLEASE
What happens to the temperature of the remaining liquid when some if the liquid evaporates?
A. Increases
B. decreases
C. Does not change
D. The change cannot be determine
Answers
While evaporation is happening, the temperature is slowing cooling down due to not as much water in the pot that is holding the water. If you have ever taken boiling hot water and dumped half of it out, and immediately put it back on the stove, it doesn't start boiling right away. It takes minutes to heat it back up to that boiling temperature.
please someone help..
ill give brainliest if ur answer is correct
Answers
The graph would be much much larger if it was in milliseconds, and much smaller in minutes and hours.
Myron put $5000 in a 2-year CD paying 3% interest, compounded monthly. After 2 years, he withdrew all his money. What was the amount of the withdrawal?
Answers
Answer:
$5308.79
Step-by-step explanation:
The future value can be computed from ...
FV = P(1 +r/n)^(nt)
where P is the principal invested, r is the annual interest rate, n is the number of times per year it is compounded, and t is the number of years.
You have P = $5000, r = 0.03, n = 12 (months per year), t = 2.
Filling in the given numbers, we have ...
FV = $5000(1 +.03/12)^(12·2) ≈ $5000(1.0617570) ≈ $5308.79
The amount of the withdrawal will be $5308.79.
Final answer:
To find the withdrawal amount for Myron's CD, the compound interest formula is used with the respective values plugged in. After 2 years, with 3% interest compounded monthly on a principal of $5000, the withdrawal amount is approximately $5,304.91.
Explanation:
The question deals with the calculation of compound interest for a Certificate of Deposit (CD), specifically with different compounding periods.
To calculate the withdrawal amount for Myron's 2-year CD with a principal amount of $5000 at a 3% interest rate compounded monthly, the formula for compound interest is:
[tex]A = P (1 + r/n)^{nt[/tex]
Where:
A = the amount of money accumulated after n years, including interest.P = the principal amount (initial deposit).r = the annual interest rate (decimal).n = the number of times that interest is compounded per year.t = the time the money is invested for in years.By plugging in Myron's values, we get:
[tex]A = $5000 (1 + 0.03/12)^{12\times 2[/tex]
Calculating this we find that A, the withdrawal amount, is approximately $5,304.91.
Most evenings after dinner Duarte spends 30 minutes playing chess with his dad.
Write an equation for the number of minutes, m, that Duarte spent playing chess with his dad if they played chess together e
evenings.
Answers
e= # evenings played
m= # minutes played
Total equals number of evenings played multiplied by number of minutes plated per evening.
EQUATION:
t=e * m
EQUATION (if 30 minutes per evening):
t=30e
Example:
3 nights, 30 minutes played
t= 3 * 30
t=90 minutes total played
Hope this helps! :)