Answers
First option
Answer:
Step-by-step explanation:
It’s A
Related Questions
Given that jklm is a rhombus, find kjm.
a. 37°
c. 106°
b. 74°
d. 143°
Answers
Answer:
C.
Step-by-step explanation:
4/101.78 do long divison for this problem
Answers
✌️ Good luck on your assignment ✌️
Joo-Eun wants to draw a triangle with sides measuring 6 mm, 8 mm, and 11 mm. Which is true about Joo-Eun’s plan? Joo-Eun cannot draw a triangle with these side lengths. Joo-Eun can only draw one unique triangle with these side lengths. Joo-Eun can draw exactly two triangles with these side lengths. Joo-Eun can draw more than one triangle with these side lengths.
Answers
Answer:
Option 2 is correct .i.e., Joo-Eun can only draw one unique triangle with these side lengths.
Step-by-step explanation:
Measures of sides of triangles are 6 mm , 8 mm and 11 mm
We use a result which states that if sum of two sides of a triangle is greater than 3rd side then triangle with those measures exist.
here,
6 + 8 = 14 > 11
6 + 11 = 17 > 8
8 + 11 = 19 > 6
Therefore, triangle With given measures exist.
Now we use another result which says that a triangle with given measurement can only be drawn as one unique triangle and the angles would be unique for the particular triangle.
Therefore, Option 2 is correct .i.e., Joo-Eun can only draw one unique triangle with these side lengths.
The statement that is true about Joo-Eun’s plan is: Joo-Eun can only draw one unique triangle with these side lengths.
What is a Unique Triangle?A unique triangle is a congruent triangle that remains the same no matter how it is flipped.
The conditions for a unique triangle include;
The presence of three side lengths as is the case in the triangle Joo-Eun wants to draw, The presence of two angles and any side condition.The triangle in the above question meets the first condition.
Learn more about unique triangles here:
https://brainly.com/question/1034224
f-7 over g equals h, sole for f
Answers
930 miles to travel with a car that gets 22 miles per gallon. How much will it cost to travel if gas costs 2.03 a gallon?
Answers
_______________________________________________
Explanation:
_______________________________________________
(1 gal / 22 mi) * (930 mi) =
(1 gal / 22 mi) * (930 mi / 1) = {the units of "mi" ("miles" cancel out} ;
= (1 gal/ 22) * (930 / 1) = (1 gal * 930) ÷ (22 * 1) ;
= (930 gal) ÷ 22 ;
= (465 / 11) gal =
= 42 3/11 gal = 42.2727272727.... gal .
________________________________________________________
(456 /11) gal * ($ 2.03 / gal) =
$85.813636363636363581 -------> round to: $85.81 .
__________________________________________________________
To which real number subset(s) do the following real numbers belong?
-4, -2, 1, 3, 5
A. whole numbers
B. natural numbers
C. integers and rational numbers
D. natural and irrational numbers
Answers
There are 36 students on the bus. There are 2 times as many girls than boys on the bus. On your paper, write a system of liner equations and solve for the number of girls and boys on bus. How many girls are on the bus. A-12 B-24 C-17 D-19
Answers
y = boys
z = students in the bus
x + y = z
x + y = 36
total girls = 2 * total boys
x = 2 * y
2y + y = 36
3y = 36
y = 12
x = 2y = 24 (B)
Final answer:
To find the number of girls and boys on the bus, create a system of linear equations and solve for the variables. In this case, there are 12 boys and 24 girls on the bus.
Explanation:
To solve for the number of girls and boys on the bus:
Let G represent the number of girls and B represent the number of boys.
From the problem, G = 2B and G + B = 36.
Substitute G = 2B into the second equation to get 2B + B = 36, which gives B = 12. Therefore, there are 12 boys and 24 girls on the bus.
find multiplicative inverse of 2+3i / 3-2i
Answers
( 2 + 3 i ) / ( 3 - 2 i ) * ( 3 + 2 i ) / ( 3 + 2 i ) =
= ( 2 + 3 i ) * ( 3 + 2 i ) / ( 9 - 4 i² ) = → we use difference of squares
= ( 6 + 4 i + 9 i + 6 i² ) / ( 9 + 4 ) = → because : i² = - 1
= ( 6 + 13 i - 6 ) / 13 =
= 13 i / 13 = i
Answer: i.
A 12 foot ladder is leaning against a building. The ladder makes a 45 degree angle with the building. How far up the building does the ladder reach ?
A. 24√2
B.6√2
C. 6 feet
D.12√2
Answers
Answer:
The answer is B. 6 square root 2
Step-by-step explanation:
Suppose that f(x)=x^2 and g(x)= -4/5x^2 which statement best compares the graph of g(x) with the graph of f(x)
Answers
Answer: the graph of g(x) is the graph of f(x) compressed vertically
Step-by-step explanation:
What is the volume of a right circular cone with a diameter of 21 centimeters and a height of 87 centimeters? Use 3.14 as an approximation for π. Round your answer to the nearest tenth.
Answers
Volume=1/3πr^2h
therefore the volume of our cone will be:
π=3.14
h=87
r=21/2
Volume=1/3*3.14*(21/2)^2*87
=10,039.365 cm^2
How much money will you have at the end of one year if interest is compounded semiannually at 10% on a $600 deposit? A. $661.50 B. $662.00 C. $660.00 D. $659.50
Answers
Compound interest on a principal of $600.00 at a rate of 10% per year compounded twice per year over a period of one year results in an accumulated total of $661.50 (principal plus interest).
What is compound interest rate?Compound interest is computed as interest on the principle of an account plus any accrued interest.
Compound interest can be calculated using the following formula:
A = P(1 + r/n[tex])^{nt}[/tex]
,where x = compound interest
P = principal (the initial deposit or loan amount)
r = annual interest rate
n = the number of compounding periods per unit of time
t = the number of time units the money is invested or borrowed for
Given:
P = principal (the initial deposit amount) = $600
r = annual interest rate = 10%
n = the number of compounding periods per unit of time = 2
t = 1
First, convert R as a percent to r as a decimal
r = R/100
r = 10/100
r = 0.1 rate per year,
Then solve the equation for A
A = P(1 + r/n[tex])^{nt}[/tex]
A = 600.00(1 + 0.1/2[tex])^{(2)(1)}[/tex]
A = 600.00(1 + 0.05[tex])^{(2)}[/tex]
A = $661.50
Therefore, the amount is $661.50.
To learn more about the compound interest rate;
https://brainly.com/question/13307568
#SPJ2
Find the values of x and y. Show your work.
Answers
(7x-4)/31 = (4y+8)/24 = (y+2)/6
Multiply:
6*(7x-4) = 31*(y+2)---> 42x-24 = 31y+62 ---> 11y = 86, y = 86/11
I don;t like that is looks 'ugly', instead of sth like y = 88/11=8. I think 86/11 is the answer. Check the math! :)
Answer:
the value of x and y are, 5 and 4
Step-by-step explanation:
SSS(Side Side Side) postulate states, that if three sides of one triangle are congruent to three sides of another triangle, then these two triangles are congruent.
In given triangle ABC and triangle CDE as shown in attachment , by above theorem ,we have
[tex]AB\cong BC[/tex]
⇒ [tex]7x-4=31[/tex]
[tex]7x=35[/tex]
∴ [tex]x=5[/tex]
also, [tex]BC\cong DE[/tex]
⇒ [tex]4y+8=24[/tex]
simplify:
[tex]4y=16[/tex]
∴ [tex]y=4[/tex]
Hence, the value of x=5 and y=4.
The x-intercept of the graph of f(x)= 3log(x-5)+2 is:
Answers
Answer: [tex]\frac{1}{e^{\frac{2}{3}}}+5[/tex] or 5.51
Step-by-step explanation:
The given function : [tex]f(x)= 3\log(x-5)+2[/tex]
We know that , the x-intercept is the point on graph( basically intersection of graph and x-axis) where y coordinate is zero.
I.e. for x-intercept of function , f(x) =0
i.e. [tex]0= 3\log(x-5)+2[/tex]
[tex]\Rightarrow\ \log(x-5)=\dfrac{-2}{3}[/tex]
Taking exponent on both sides , we get
[tex]x-5=e^{\frac{-2}{3}}\\\\\Rightarrow\ x=e^{\frac{-2}{3}}+5\ \ or\ \ x=\dfrac{1}{e^{\frac{2}{3}}}+5[/tex]
On simplification , [tex]\frac{1}{e^{\frac{2}{3}}}+5\approx5.51[/tex].
Hence , the x-intercept of the graph f(x)= [tex]\dfrac{1}{e^{\frac{2}{3}}}+5[/tex] or 5.51.
Answer:
10^-2/3 +5
Step-by-step explanation:
a) 7.02 is 10.4% of what number?
b) 152.5 is what percent of 61?
Answers
B) x * 61 = 152.5 = 250%
I think lol
the polynomial (x - 2) is a factor of the polynomial 3x2 - 8x + 2.
Answers
First, let's factor 3x²-8x+2
Looking at wee can see that the first term is and the last term is where the coefficients are 3 and 2 respectively.
Now multiply the first coefficient 3 and the last coefficient 2 to get 6. Now what two numbers multiply to 6 and add to the middle coefficient -8? Let's list all of the factors of 6:
Factors of 6:
1,2,3,6
-1,-2,-3,-6 ...List the negative factors as well. This will allow us to find all possible combinations
These factors pair up and multiply to 6
1*6
2*3
(-1)*(-6)
(-2)*(-3)
note: remember two negative numbers multiplied together make a positive number
Now, which of these pairs add to -8? Lets make a table of all of the pairs of factors we multiplied and see which two numbers add to -8
None of these pairs of factors add to -8.
So the expression 3x²-8x+2 cannot be factored.
So (x - 2) is NOT a factor of 3x²-8x+2
So the statement is false
Answer:
B.false
Step-by-step explanation:
apexs
A circle is drawn in the xy-coordinate plane. if there are n different points (x, y) on the circle such that xy = 0, then the possible values of n are
Answers
either x, or y or both must be 0.
So we consider the points of the form (x, 0), (0, y) and (0, 0). These are the x and y intercepts.
A circle can touch the axes at 1, 2, 3 or 4 points but not more.
Check the picture for examples of all the cases.
Answer: n∈{1, 2, 3, 4}
Question 3 (Essay Worth 10 points)
(03.06 MC)
Part A: Eveline rented a car at $180 for 4 days. If she rents the same car for 9 days, she has to pay a total rent of $325.
Write an equation in the standard form to represent the total rent (y) that Eveline has to pay for renting the car for x days. (4 points)
Part B: Write the equation obtained in Part A using function notation. (2 points)
Part C: Describe the steps to graph the equation obtained above on the coordinate axes. Mention the labels on the axes and the intervals. (4 points)
Answers
To form the equation to represent total rent, we first need to establish the changing rate and the fixed cost. Changing rate is the fee for every one day the car is rented and fixed cost is the initial cost of the car rental.
To find the changing rate we divide the cost difference between two days by the difference of days
We have
$180 = 4 days
$ 325 = 9 days
The changing rate is [tex] \frac{325-180}{9-4}= \frac{145}{5}=29 [/tex]
The table below shows the working out of the price for each day the car is rented. We work out that day 0 cost $63 which means this is the fixed cost
Hence, the equation of total cost is [tex]y=29x+63[/tex], where [tex]y[/tex] is the total cost and [tex]x[/tex] is the number of days
PART B:
Using the function notation means we will use [tex]f(x)[/tex] instead of [tex]y[/tex], so the equation is
[tex]f(x)=29x+63[/tex]
PART C:
To graph the function, we first need to set the scales on the x-axes and y-axes.
The scale on x-axes could go up in ones but must start from 0
The scale on y-axes, since it is much bigger values, we can go up in 50
We then plot on the graph for each pair of days and cost. The plots should give us a straight line graph
One example of the graph is shown below
There are 4! (or 24) "words" that can be formed using each of the letters a, b, c and d once. if these "words" are alphabetized, which one is 17th?
Answers
abcd
abdc
acbd
acdb
adbc
adcb
bacd
badc
bcad
bcda
bdac
bdca
cabd
cadb
cbad
cbda
cdab
cdba
dabc
dacb
dbac
dbca
dcab
dcba
Going down the list, number 17 is cdba.
A company makes triangular plates for individual slices of pizza. For each plate, the base is 7 inches and the height is 12 inches. The area of the top of the plate is ____ inches squared.
Answers
Answer:
42 Inches squared ( hope that helps) ;)
The area of the top of the plate will be 42 inches squared.
What is the area of the triangle?The polygonal shape of a triangle has a number of sides and three independent variables. Angles in the triangle add up to 180°.
Assume 'h' is the height of the triangle and 'b' be the base of the triangle. Then the area of the triangle is given as,
A = (1/2) × h·b
A company makes triangular plates for individual slices of pizza. For each plate, the base is 7 inches and the height is 12 inches.
Then the area of the triangle is given as,
Area = 1/2 x 12 x 7
Area = 6 x 7
Area = 42 square inches
The area of the top of the plate will be 42 inches squared.
More about the area of the triangle link is given below.
https://brainly.com/question/19305981
#SPJ6
A city’s annual rainfall totals are normally distributed, and the probability that the city gets more than 43.2 inches of rain in a year is given by P(z≥1.5)=0.0668. If the standard deviation of the city’s yearly rainfall totals is 1.8 inches, what is the city’s mean annual rainfall?
Answers
Answer: 40.5 inches
Step-by-step explanation:
Given: A city’s annual rainfall totals are normally distributed.
The probability that the city gets more than 43.2 inches of rain in a year is given by P(z≥1.5)=0.0668
Thus, X=43.2 inches
z=1.5
Standard deviation [tex]\sigma[/tex]=1.8 inches
We know that [tex]z=\frac{X-\mu}{\sigma}[/tex]
[tex]\Rightarrow\mu=X-z\sigma\\\Rightarrow\mu=43.2-1.5\times1.8\\\Rightarrow\mu=43.2-2.7\\\Rightarrow\mu=40.5\ inches[/tex]
Hence, the city’s mean annual rainfall is 40.5 inches.
How many distinguishable 7 letter "words" can be formed using the letters in alabamaalabama?
Answers
Final answer:
The number of distinguishable 7-letter words that can be formed using the letters in alabamaalabama is 5040.
Explanation:
The number of distinguishable 7-letter words that can be formed using the letters in alabamaalabama can be calculated using permutations. In this case, we have 12 letters, but some of them are repeated. To calculate the total number of permutations, we need to divide the total number of permutations by the factorial of the number of times each repeated letter appears. The word alabamaalabama has 7 distinct letters, so there are no repeated letters in this case. Therefore, the number of distinguishable 7-letter words that can be formed is simply 7! = 7 x 6 x 5 x 4 x 3 x 2 x 1 = 5040.
A grab bag contains 8 football cards and 2 basketball cards. an experiment consists of taking one card out of the bag, replacing it, and then selecting another card. determine whether the events are independent or dependent. what is the probability of selecting a football card and then a basketball card? express your answer as a decimal.
Answers
8 football, 2 basketball...total of 10
P(1st pick is football) = 8/10 which reduces to 4/5
replace
P(2nd pick is basketball) = 2/10 which reduces to 1/5
P (both) = 4/5 * 1/5 = 4/25 = 0.16 <==
Answer:
Independent - 0.16
Step-by-step explanation:
The price of bananas is $6.50 for 5 pounds. What is the price as a unit rate?
$6.50/1lb
$1.30/1lb
$1/30/3lb
$1.05/1lb
Answers
A unit rate is when ratios are expressed as a quantity of one. To change $6.50 for 5 pounds to a unit rate, you must divide everything by 5 in order to get the price for one individual pound. $6.50 / 5 = $1.30, so the price of $6.50 for 5 pounds as a unit rate is $1.30/1 lb.
How would you convert the repeating, nonterminating decimal into a fraction? Explain the process as you solve the problem. 0.1515
Answers
Let x = 0.1515..
100x = 15.15..
x = 00.15... Now subtract:-
------ --------
99x = 15
so 99x = 15 giving x = 15/99 answer
Answer:
5/33
Step-by-step explanation:
x = 0.1515
100 x = 15.1515
100 x - x = 15.1515 - 0.1515
99 x = 15
x = 15 / 99 = 3 ∙ 5 / 3 ∙ 33 = 5 / 33
0.15165 = 5 / 33
Identify the function that best models the given data.
Answers
B) 3.125x^2 - 14.5x + 208.5
To prove this you plug 6 (which is the number of trees) instead of x
3.125x^2 - 14.5x + 208.5
3.125(6)^2 - 14.5(6) + 208.5
112.5 - 87 + 208.5
=234
Answer: W(i) = 3.125x^2 − 14.5x + 208.5
Step-by-step explanation:
What is 3/2 - 1 equal
Answers
But if you're looking for the decimal of this problem it would be: 0.5
✌️Good luck on your assignment ✌️
you can also write 3/2 as 1 and 1/2
so the equation would look like...
1 1/2-1...
if subtract both 1s you're left with...
1/2 or 0.5
question is in the image
Answers
(x^n)^m = x^mn
This states that the final exponent of the variable or the expression is the product of the exponents.
For this item, we can rewrite the given as,
(1000m³n¹²)^(1/6)
If we multiply the exponents to 1/6, we get
(1000^1/6) x (m^1/2) x (n^2)
Also, it should be noted that 1000 = 10³. Hence, the final answer would be,
(10^1/2) x (m^1/2) x (n^2)
Simplifying this,
ANSWER: n² √10m
The answer is letter A.
what is the reciprocal of 8-3i
Answers
The reciprocal of the complex number 8-3i is found by dividing its complex conjugate (8+3i) by the modulus squared of 8-3i, which is 73. The result is 8/73 + 3i/73.
Explanation:The reciprocal of a complex number is the complex conjugate of that number divided by the modulus squared of the original number. In the case of the complex number 8-3i, its complex conjugate is 8+3i. To find the reciprocal of 8-3i, you would divide this complex conjugate by the modulus squared of 8-3i.
First, calculate the modulus squared of 8-3i:
Modulus of 8-3i = sqrt(82 + (-3)2) = sqrt(64 + 9) = sqrt(73).Modulus squared = (sqrt(73))2 = 73.Then, divide the complex conjugate by this modulus squared to get the reciprocal:
Reciprocal of 8-3i = (8+3i) / 73 = 8/73 + 3i/73.
The number of points awarded in each round of a game can be represented by f(x) = 2x, where x represents the number of the round.
What is x when f(x) = 16?
Answers
2x=16 divide both sides by 2
x=8
Answer:
x=4; in round 4, 16 points will be rewarded