9514 1404 393
Answer:
59) not similar
60)
Step-by-step explanation:
59) The ratios of the side lengths shown cannot be reduced. They are different, so the triangles are not similar.
7:8:12 ≠ 6:7:11
__
60) The side length ratios both reduce to 8:7:10, so the triangles are similar.
∆ABC ~ ∆JKL
The scale factor is LJ/CA = 25/20 = 5/4. (Multiplying ABC by 5/4 will give JKL.)
Joe's lunch at a restaurant costs $13.00 without tax. He leaves the waiter a tip of 17% of the cost of the lunch, without tax. What is the total cost of the lunch, including the tips, without tax?
Answer: $15.21
Step-by-step explanation:
Given
Joe's lunch cost $13.00 without tax
He tipped the waiter with 17% of bill without tax
So, the amount of tip is
[tex]\Rightarrow 13\times 17\%\\\Rightarrow 13\times 0.17\\\Rightarrow \$2.21[/tex]
Total amount that food costs without tax is
[tex]\Rightarrow 13+2.21\\\Rightarrow \$15.21[/tex]
If A = {1,3,5,7,9, B = {0,36 lotin
AUB.
Step-by-step explanation:
a union b is 0 1 3 5 6 7 and 9 thank you very much please mark the answer as brainliest
Consultant plans a survey to determine what % of the patients in a particular hospital were satisfied with the care they received after a major treatment. How many such patients should be surveyed so the margin of error for a 90% confidence interval is within .05? Suppose it is known from a past survey that such a % may be about 80%.
Solution:
Required margin of error = 0.05
Estimated population proportion p = 0.8
Significance level = 0.10
The [tex]\text{provided estimate population proportion}[/tex] p is 0.8
The significance level, α = 0.1 is [tex]z_c=1.645[/tex], which is obtained by looking into a standard normal probability table.
The number of patients surveyed to estimate the population proportion p within the required margin of error :
[tex]$n \geq p(1-p)\left(\frac{z_c}{E}\right)^2$[/tex]
[tex]$=0.8\times (1-0.8)\left(\frac{1.64}{0.05}\right)^2$[/tex]
= 173.15
Therefore, the number of patients surveyed to satisfy the condition is n ≥ 173.15 and it must be an integer number.
Thus we conclude that the number of patients surveyed so the margin of error of 90% confidence interval is within 0.05 are n= 174.
On February 1, the balance is your account is $516.81. On july 1, you deposit $310.90. Your bank pays 6.25% interest. What is the amount in your account on July 1?
The required amount in the account is given as $878.48.
Given that,
On February 1, the balance is your account is $516.81. On July 1, you deposit $310.90. Your bank pays 6.25% interest.
Simple interest is a quick and simple formula for figuring out how much interest will be charged on a loan.
Here,
According to the question,
Total money in the account = 516.81 + 310 = 775.81
Total money in the account after interest = 775.81 [1 + 0.0625] = 878.48
Thus, the required amount in the account is given as $878.48.
Learn more about simple interests here:
https://brainly.com/question/26457073
#SPJ2
select the correct answer
i need help plssss answer the question if you know
Answer:
149.59062 cm^2
Step-by-step explanation:
area of circle=πr^2
=3.142*(6.9)^2
=3.142*47.61
=149.59062 cm^2
Write an equation of the line with slope 4 and y-intercept (0, 2).
Answer:
y = 4x +2
Step-by-step explanation:
The slope intercept form of an equation is
y = mx+b where m is the slope and b is the y intercept
y = 4x +2
Rick is facing east.He makes three-quarters of complete turn clockwise.Which direction is Rick now facing?
Answer: directly north
=============================================
Explanation:
A one quarter turn is 1/4 of 360 degrees, so it's (1/4)*360 = 90 degrees.
Three quarters of a full turn is (3/4)*360 = 270, or you could triple the 90 to get 90*3 = 270.
Rick starts facing directly east. Then he rotates 270 degrees clockwise to end up facing directly north. Refer to the diagram below.
Can someone tell me step by step on how to solve this?
Answer:
[tex]\text{B. }\triangle DKM[/tex]
Step-by-step explanation:
When naming a triangle or any polygon, the name should consists of either the center of the polygon or each of the vertices (points) of the triangle. In this case, no center is labelled, so we will use the vertices to name the triangle.
The vertices or points of the triangle are D, K, and M. Therefore, we name this triangle by writing a triangle symbol [tex]\triangle[/tex] followed by these vertices.
Unless you're comparing it to another polygon (e.g. writing a similarity statement), the order of which you list the vertices does not matter, but you should start with a point and move either clockwise or counterclockwise until you list every point. Therefore, the answer is [tex]\boxed{\text{B. }\triangle DKM}[/tex].
Mr. lang has two sons the sum of their ages 19. the product of their ages is 84. how old is Mr. lang youngest son
Answer: The age of Mr. Lang's youngest son is 7 years old.
Step-by-step explanation:
Let's start by listing the factors of 84. The factors of 84 are 1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42 and 84.
We can only use numbers that are under 19 since we must add up to that total. Now we are left with 1, 2, 3, 4, 6, 7, 12, and 14,
1 can't be an option since 18 is not there to pair with it to add together for 19. For the same reason we can eliminate 2, 3, 4, 6, and 14.
Now we are left with 7 and 12. Let's see is they will work.
7+12=19
7×12=84
It works! Since 7 is the smaller number that's the age of Mr. Lang's youngest son.
Answer:
7 !
Step-by-step explanation:Let's start by listing the factors of 84. The factors of 84 are 1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42 and 84.
We can only use numbers that are under 19 since we must add up to that total. Now we are left with 1, 2, 3, 4, 6, 7, 12, and 14,
1 can't be an option since 18 is not there to pair with it to add together for 19. For the same reason we can eliminate 2, 3, 4, 6, and 14.
Now we are left with 7 and 12. Let's see is they will work.
7+12=19
7×12=84
It works! Since 7 is the smaller number that's the age of Mr. Lang's youngest son.
Rewrite the polynomial in the form ax+by+c and then identify the values of a, b, c
8y+1-6x
Does this graph represent a function? Why or why not?
10
00
8
NJ
2
-10 -8 6 4-2,
2 4
8
8 10
-8-
-10+
O A. No, because it is not a straight line.
O B. Yes, because it is a curved line. •
C. No, because it fails the vertical line test.
D. Yes, because it passes the vertical line test.
help i need help lol
Answer:
D
Step-by-step explanation:
An initial population of 325 quail increases at an annual rate of 11%. Write an exponential function to model the quail population. Group of answer choices
Answer:
f(x) = 325*1.11ˣStep-by-step explanation:
Initial population = 325Increase rate = 11% or 0.11Required function is:
f(x) = 325(1 + 0.11)ˣ f(x) = 325*1.11ˣance
Use the graph to complete the statements.
The car gets
miles to the gallon.
After the car has traveled
miles, 2
gallons of gas have been consumed.
Answer:
Where’s the graph?
Step-by-step explanation:
helpppppppppppp meeeeeeeeeeeeeeee
Answer:
Y=75x+125
Step-by-step explanation:
Your answer is correct. It is c. The equation is y=Mx+b where m is the slope and b is the y intercrept.
To get M (the slope), get the difference of y-y/x-x. You can use any value of y and x. So, 575-500/6-5=75/1 ot 75. Therefore 75 is m in the equation y=Mx+b.
To get b, you figure out what y is when x is 0. So, looking at the numbers, subtract 75 from 350, which means that y is 275 when x is 2. Subtract 75 again to get 200 (275-75) when x is 1. Subtract 75 one more time to get y when x is 0. 200-75=125. 125 is the y intercept.
Going back to the equation y-Mx+b. Fill in m and b. Y=75x+125.
Line JK passes through points J(–3, 11) and K(1, –3). What is the equation of line JK in standard form?
7x + 2y = –1
7x + 2y = 1
14x + 4y = –1
14x + 4y = 1
Answer:
7x + 2y = 1
Step-by-step explanation:
First we find the slope m of the line
The slope of a line that passes through 2 points x1, y1 and x2 , y2 is given as
m = (y2 - y1)/(x2 - x1)
Considering the points (–3, 11) and K(1, –3), the slope of the line m
= (-3-11)/(1 --3)
= -14/4
= 7/2
the line JK may be given as
y - 11 = -7/2(x - -3)
multiply through the equation by 2
2y - 22 = -7(x + 3)
2y - 22 = -7x - 21
7x + 2y = 22 - 21
7x + 2y = 1
Answer:
B
Step-by-step explanation:
7x + 2y = 1
Solve for all solutions of p.
We are given the equation below:
[tex] \large{ {p}^{2} = \frac{9}{36} }[/tex]
Use the property below:
[tex] \large \boxed{ {x}^{2} = \frac{a}{b} \longrightarrow x = \pm \frac{ \sqrt{a} }{ \sqrt{b} } \: \: (a \geqslant 0 \: \: and \: \: b > 0)}[/tex]
From the equation:
[tex] \large{p = \pm \frac{ \sqrt{9} }{ \sqrt{36} } } \\ \large{p = \pm \frac{3}{6} \longrightarrow p = \pm \frac{1}{2} }[/tex]
Hence the answer is p = ± 1/2.
Answer
p = 1/2, -1/2p = ± 1/2Both answers work. The second answer is in the plus-minus form.
Hope this helps! Let me know if you have any doubts.
How many cubic inches are in two-thirds of one cubic foot?
James drew a scaled version of Triangle J using a scale factor of 4 and labeled it Triangle K. The base of triangle J is 5 units and the height of triangle J is 4. What is the area of triangle K?
Answer:
160
Step-by-step explanation:
If the scale factor is 4, we would have to multiply the height and width by 4
4*5=20
4*4=16
Now to find the area of the triangle using the formula (20*16)/2
That equals to 160
what describes the inflection point of a bell-shaped curve?
Answer:
a point like this on a curve is called inflection point. every normal curve has inflection point at exactly 1 standard deviation on each side of the mean
Step-by-step explanation:
Sana maka tulongg
Peng bought 19 stationary bikes for $748 each. How much did she soend on stationary bike? Write an expression with the solution
Answer:[tex]\$ 14,212[/tex]
Step-by-step explanation:
Given
Peng bought 19 stationary bikes for $748 each
The cost of 19 bikes is the multiplication of the cost of each bike times the total bikes
[tex]\Rightarrow \text{Cost= }19\times 748\\\\\Rightarrow \text{Cost= }\$ 14,212[/tex]
Thus, she spends [tex]\$ 14,212[/tex] on 19 bikes.
pls help me solve please show how you got the answer pls help
Answer:
3/2 cm^2 or 1.5 cm^2
Step-by-step explanation:
Remark
This is another one of those very poorly design questions where a lot is taken for granted. There is nothing to show the the black square has an area of 1/4 square cm. or the white square is 1/2 cm^2. You are left to speculate, and you should never have to guess a dimension from a diagram.
That said here are the assumptions
Each side of the square = Perimeter / 4. That's because the perimeter is 8 and each of the 4 sides is 2 cm. because 8/4 = 2That's the only thing that you can conclude for certain.It looks like the white rectangles have a length that totals 2. Therefore each one must be 1 cm long.The width of the white square must be 1/2 the width of a side divided by 2. That's because The grey square takes up 1/2 the with of the side and the white square is 1/2 of what is left over.White square area = L * W
L = 1 (which comes from 1/2 of 2)
W = 1/2
Area = 1 * 1/2 = 1/2
There are two them them so their area = 1
The black squares are 1/2 * 1/2 = 1/4 square cm. There are two of them so their total area = 1/2 square cm.
Total of the white and black squares = 1 + 1/2 = 1 1/2 or 3/2 square cm.
Help me to do exercise no 4
Answer:
y=50 and z=60 (vertically opposite)
x+60+y=180
or x+60+50=180
or x+110=180
or x=70
Answer:
Step-by-step explanation:
a.x = 95 degree
reason = being vertically opposite angles
x + 145 degree = 180 degree
x = 180 -145
x=35 degree
reason = being linear pair
b.40 + x =90 degree
x = 90 - 40
x = 50 degree
reason = being perpendicular
y = x + 40
y = 50 + 40
y = 90 degree
reason = being vertically opposite angles
c.50 + 60 + x=180 degree
110 + x =180
x = 180-110
x = 70 degree
reason = being linear pair
z = 60 degree
reason = being vertically opposite angles
y = 50 degree
reason = being vertically opposite angles
d. x = 80 +10
x =90 degree
reason = being vertically opposite angles
y + x =180 degree
y + 90 =180
y = 180 - 90
y = 90 degree
reason = being linear pair
Nick spent 2.5 hours to travel a distance of 90 km by car. What is the rate of the car?
Answer:
36km/h
speed =distance/time
= 90/2.5
=36km/h
which expression is equivalent to the area of square A in inches ?
Answer:
D - 10^2+24^2
Step-by-step explanation:
So, there are a few important things here to go over:
First off, the formula for area of square is l*w, but since a square's length and width are equal, this will just be l^2.
Secondly, the formula for pythagreons theorm is a^2+b^2=c^2. This is what we will use to find the side length of A.
So, we see that there is a triangle that is made up of the top side of the organge square, the left side of the green square, and the right side of the blue square.
To find the righ side of the blue square, we need to use the pythagreons theorm.
This is because the hypotenuse of the triangle(C), is also the right side of square A.
The A and B that we use to find C in pythagreons theorm we know is 24 and 10.
Lets plug this in:
10^2+24^2=c^2
=
100+576=676
Normallu, to find the length of the side, we would root the 676. However, since area is x^2, and we found ^2=676, we are fine.
So tecnically, 10^2+24^2=A.
Or:
[tex]10^2+24^2=A[/tex]
This looks like D
Hope this helps!
UMM SORRY AGAIN THO.
Question 4
Answer: Choice A) 3/10---------------------
Explanation:
There are 5 green, 9 red, and 6 blue. That makes 5+9+6 = 20 total marbles. Of this total, 6 are blue. The probability of picking blue is 6/20 = 3/10
==============================================================
Question 5
Answer: Choice C) x < 6---------------------
Explanation:
The open hole at 6 means we do not include this value as part of the shaded solution set. So we either have "less than" or "greater than".
We go with "less than" since the shaded region is to the left. This describes all values smaller than 6.
If you had "or equal to" as part of the inequality, then you would have a filled in circle at the endpoint.
PLZ HELP DUE TODAY MARK BRAINLLEST AND GIVE 25 POINTS
Answer:
592 divided by 16=37
Answer:
592 divided by 16 is 37
3 boxes on top:
5 tens + 92 = 592
Step-by-step explanation:
:)
A — 5х – 12°
B = 2х + 24°
B.
A
Find the circumference of circle K. Round your answer to the nearest tenth of a centimeter and use 3.14 to approximate pi. (It's a multiple choice question)