Two similar triangles have a scale factor of 5:3. The perimeter of the larger triangle is 75 sq inches. What is the perimeter of the smaller triangle measured in inches?
Answer:
45 inches
Step-by-step explanation:
Create a proportion where x is the perimeter of the smaller triangle:
[tex]\frac{5}{3}[/tex] = [tex]\frac{75}{x}[/tex]
Cross multiply and solve for x:
5x = 225
x = 45
So, the perimeter of the smaller triangle is 45 inches
Which statement is NOT true concerning the graphing of a linear system?
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Systems of linear equations that contain coordinates with fractions or decimals can be challenging.
You need to be careful and plot straight lines.
You can only graph a system of linear equations with a graphing calculator.
The point of intersection of lines that intersect at a shallow angle is difficult to determine.
You can only graph a system of linear equations.
Elena is trying to figure out how many movies she can download to her hard drive. The hard drive is supposed to hold 500 gigabytes of data, but 58 gigabytes are already taken up by other files. Each movie is 8 gigabytes. Elena wrote the inequality 8x + 58 ≥ 500 and solved it to find the solution x ≥ 55.25.
1.Explain how you know Elena made a mistake based on her solution.
2.Fix Elena’s inequality and explain what each part of the inequality means.
Answer:
x is 69.75
Step-by-step explanation:
8x+58>500
500-58
8x/8>558/8
x>
Select the correct answer.
What is a similarity between life insurance and property and casualty insurance?
A.
Employers usually provide both types of insurance.
B.
Both types cover lost income if you’re unable to work.
C.
Neither type offers benefits unless you suffer a loss.
D.
Neither type charges any premium after a certain period.
Answer:
C.
Step-by-step explanation:
The similarity between these types of insurance is that neither type offers benefits unless you suffer a loss. In either type of insurance you would either need to lose your life or lose a piece of property. It is then that the insurance company will pay what the insurance contract states. Until such a time that the loss is incurred, the insurance does not provide any benefit to you or your family members.
Answer:
C. Neither type offers benefits unless you suffer a loss.
Step-by-step explanation:PLATO
i need the base and hight
Answer:
Height = 5 and Base = 10
Step-by-step explanation:
The base of the parallelogram is twice the perpendicular height of the parallelogram. The area of the parallelogram is 50 cm².
Formula for area of parallelogram = base × height
Base = 2h
Height = h
∴ Area = 2h × h = 50
Solution:
2h × h = 50
2h² = 50
[tex]\frac{2h^{2} }{2} = \frac{50}{2}[/tex]
h² = 25
[tex]\sqrt{h^{2} } = \sqrt{25}[/tex]
h = 5
∴ height = 5 and base = 2(5) = 10
Point P (a, b), where neither a orbis equal to 0, is subject to the following operations, one after the other in any order:
reflection about the x-axis, reflection about the y-axis, reflection about the origin.
What will be the final position of point P?
Answer:
(a, b)
Step-by-step explanation:
Transformation is the movement of a point from its initial location to a new location. Types of transformation are rotation, reflection, dilation and translation.
Reflection is the flipping of an object about a point. If a point A(x, y) is reflected over x axis, the new point is at A'(x, -y). If the a point A(x, y) is reflected over y axis, the new point is at A'(-x, y). If a point A(x, y) is reflected over origin, the new point is at A'(-x, -y).
Given point P(a, b). It reflection about the x-axis gives P'(a, -b), then the reflection about the y-axis gives P"(-a, -b). Lastly, reflection about the origin gives P"'(a, b)
Craig threw a handful of identically shaped buttons into the air then collected 14 bottoms that landed on the carpet. Is this sample of the buttons likely to be biased yes or no
Answer:
possible?? but I think that there is a typo, and that there would not be a bias
Step-by-step explanation:
can we assume that there are no typos in the question
he threw BUTTONS in the air, and look at buttons that landed with the BOTTOMS facing up ??? in that case the weight might bias the orientation of the landing... I think that you have a typo and it just says that he collected 14 BUTTONS, in that case given that they are "IDENTICAL" we most likely can assume that there would be no bias (size color, texture are all the same)
what is the binomial expansion of (x+1)^5
Answer: "A"
somewhat of a trick question
use pascals triangle (or binomial expansion)
0-1
1-1,1
21,2,1
3- 1,3,3,1
4- 1,4,6,4,1
5- 1,5,10,10,5,1
NOTICE THAT "A" has the 1,5,10,10,5,1 in the 5th row
Step-by-step explanation:
The quartile deviation and coefficient of quartile deviation of a continuous frequency distribution are 2 and 0.25 respectively. Find lower and upper quartiles.
Answer:
Lower quartile = 6
Uppwr quartile = 10
Step-by-step explanation:
Coefficient of quartile deviation = 0.25
Quartile deviation = 2
Coefficient of quartile deviation = (Q3 - Q1) / (Q3 + Q1)
Quartile deviation = (Q3 - Q1) / 2
Hence;
Quartile deviation = (Q3 - Q1) / 2 = 2
Q3 - Q1 = 2 * 2
Q3 - Q1 = 4 - - - - (1)
Q3 = 4 + Q1 - - - - (2)
(Q3 - Q1) / (Q3 + Q1) = 0.25
Q3 - Q1 = 4
4 = 0.25(Q3 + Q1)
Q3 + Q1 = 4 / 0.25
Q3 + Q1 = 16 - - - - (3)
Put Q3 = 4 + Q1 in (3)
4 + Q1 + Q1 = 16
4 + 2Q1 = 16
2Q1 = 16 - 4
Q1 = 12 / 2
Q1 = 6
Q3 = 4 + Q1
Q3 = 4 + 6
Q3 = 10
Which statements are true about the graph of
y< 2x + 1? Check all that apply.
y < 2
The slope of the line is 1.
O The line is solid.
The area below the line is shaded.
A solution to the inequality is (2, 3).
The x-intercept of the boundary line is (-3,0).
Answer:
I think the answer is The x-intercept of the boundary line is (-3/2,0).
Step-by-step explanation:
the x-intercept of boundary line is (-3,0)
Step-by-step explanation:
hope it helps thanks❤
Solve the absolute value inequalty ⎜3x + 5⎟≤ - 2 a No Solution b - 2 ≤ x ≤ - 7 c All real numbers d -7/3 ≤ x ≤ -3/7
Answer:
Step-by-step explanation:
First, absolute value is always POSITIVE ⇒ the given inequality has No Solution!!
Just to show you how to solve this kind of problems:
1). If (3x + 5) ≥ 0, then 3x + 5 ≤ - 2
3x ≤ - 5 - 2
3x ≤ - 7
x ≤ - [tex]\frac{7}{3}[/tex]
2). If (3x + 5) < 0, then - (3x + 5) ≤ - 2
3x + 5 ≥ 2
3x ≥ - 3
x ≥ - 1
x ∈ ∅
You are on a ship at sea. You see a lighthouse in the distance. You know the lighthouse is 145 feet tall. You measure the angle of elevation to the top of the lighthouse at 5 degrees. How far are you from the bottom of the lighthouse? *
Answer:
1657.14 ft
Step-by-step explanation:
Tan = opposite / adjacent
tan 5 = 145 / adjacent
0.0875 = 145 / adjacent
adjacent = 145 / 0.0875
= 1657.14 ft
has endpoints J(13, 8) and K(–6, –6). Find the coordinates of the midpoint of .
Answer:
the midpoint of it is 8,-6
Step-by-step explanation:
rhgsr egh
The voltage E in an electrical circuit is modeled by E=3.8cos(110π t). What is the maximum voltage?
Answer:
Max E=3.8 Voltage
Step-by-step explanation:
[tex]maximum-value -of cos(\theta) =1, when \theta=0,360,720\\110\pi t=0, therefore t=0, 1.04, 2.08 etc[/tex]
The maximum voltage for the electric circuit is E = 3.8 when the value of the trigonometric function cos(110π t) has the maximum value = 1, from the range of cosine function.
What is the range of the trigonometric function cosine?The range of the trigonometric function of cosine, that is, cos θ, is [-1, 1], that is, -1 ≤ cos θ ≤ 1.
How do we solve the given question?We are given that the voltage E in an electrical circuit is modeled by E = 3.8cos(110π t).
We are asked to find the maximum voltage E that can be obtained from the circuit.
The voltage E = 3.8cos(110π t).
In the given formula 3.8 is constant and cos(110π t) is variable. The value of E is maximum when the trigonometric function cos(110π t) attains the maximum value.
Since its a cos function, the maximum value it can attain = 1, as the range of the trigonometric function of cosine, that is, cos θ, is [-1, 1], that is, -1 ≤ cos θ ≤ 1.
When the variable attains the maximum value = 1, the value of the voltage E = 3.8*1 = 3.8.
∴ The maximum voltage for the electric circuit is E = 3.8 when the value of the trigonometric function cos(110π t) has the maximum value = 1, from the range of cosine function.
Learn more about the ranges of trigonometric functions at
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5) Last week a Pizza Hut sold 36 cheese pizzas, 64 pepperoni pizzas, and 20 veggie pizzas. Based on these data, which number is closest to the probability that the next customer will order a cheese pizza?
Answer:
[tex]P(Cheese) = 0.30[/tex]
Step-by-step explanation:
Given
[tex]Cheese = 36[/tex]
[tex]Pepperoni = 64[/tex]
[tex]Veggie = 20[/tex]
Required
[tex]P(Cheese)[/tex]
This is calculated as:
[tex]P(Cheese) = \frac{Cheese}{Total}[/tex]
[tex]P(Cheese) = \frac{36}{36+64+20}[/tex]
[tex]P(Cheese) = \frac{36}{120}\\[/tex]
[tex]P(Cheese) = 0.30[/tex]
a square garden has an area of 6400 square find its perimeter
CAN SOMEONE HELP ME PLZ
Answer:
what is it's perimeter?
Need help, please
Cyndi works in an office. She thinks that she spends 30 minutes in meeting for every 3 hours that she spends working at her desk. One week, she spends 3 hours and 15 minutes in meetings. Using Cyndi's timings above, work out how many hours she would have spent working at her desk?
Answer:
19.5 hrs
Step-by-step explanation:
30 minutes meeting for every 3 hours of work
10 minutes meeting for every 1 hour of work
15 minutes meeting of every 1 1/2 hour of work
3 hours meeting for every 18 hours of work
She spent 19 1/2 hours
If you put 700 into a savings account that's earns 1% interest compound monthly how much will you have in 5 years
Answer:
In 5 years I will have $ 1,151.71.
Step-by-step explanation:
To determine, if I put 700 into a savings account that's earns 1% interest compound monthly, how much will I have in 5 years, the following calculation must be performed:
700 x (1 + 0.01 / 12) ^ 12x5 = X
700 x (1 + 0.008333) ^ 60 = X
700 x 1.64530 = X
1,151.71 = X
Therefore, in 5 years I will have $ 1,151.71.
The area of a rectangular field is 7626m2. If the length of the field is 93m, what is its width?
Answer:
The width is [tex]82m[/tex]
Step-by-step explanation:
------------------------------>>>>
The formula to find the area of a rectangle is [tex]A=lw[/tex]
We already know the area of the rectangular field which is [tex]7626m[/tex]
We already know the length is [tex]93m[/tex]
--------------->>>>
Now let's substitute [tex]7626[/tex] for [tex]A[/tex] because that's the area and substitute [tex]93[/tex] for [tex]l[/tex] because that's the length. After that, let's solve to find the width.
[tex]7626=93w[/tex]
Divide both sides by 93 because that's the opposite of multiplication.
[tex]82=w[/tex]
--------------->>>>
This means that the width of the rectangular field is [tex]82m[/tex]
Hope this is helpful
17. Find the area of a triangle whose base is 6 cm and height is 8 cm.
48 square cm
24 square cm
48 cm
24 cm
Answer:
24 square cm
Step-by-step explanation:
Answer:
48cm
Step-by-step explanation:
Because 6 times 8= 48cm
Brainliest, 10 points
You can convert or translate mathematical expressions into verbal statements and verbal statements into mathematical expressions by using the following: (Select all that apply)
question mark
periods
capital letters
commas
commas and capital letters
A rectangular prism has a height of 10 inches, breadth of 19 inches and length twice the height. What is the volume of the prism?
Answer:
3800
Step-by-step explanation:
Volume= Length x width x height
v=20x19x10
v=3800 inches²
Brainliest please
1. A researcher would like to compare the effectiveness of video versus reading for communicating information to adolescents. A sample of n1= 10 adolescents is given a pamphlet explaining nuclear energy and told that they will be tested on the information. A separate sample of n2= 10 adolescents is shown a video that contains the same information presented in a fast-paced visual form and told that they will be tested. One week later all 20 subjects are given a test on nuclear energy. The average score for the pamphlet group was 1= 51 with s12= 16. The video group averaged 2= 46 with s22= 20. Conduct a t-Test (two-tail, α = .05) for two Independent groups to see if there is a significant difference between the two groups (follow the Handout).
Answer:
There is significant statistical evidence to suggest there is a difference between the groups
Step-by-step explanation:
The number of adolescents in the sample that were given a pamphlet, n₁ = 10
The average score of those given a pamphlet, [tex]\bar x_1[/tex] = 51
s₁² = 16
The number of adolescents in the sample that were given a video, n₂ = 10
The average score of those given a video, [tex]\bar x_2[/tex] = 46
s₂² = 20
The alpha level of the test, α = 0.05
H₀ = No difference
Hₐ = Difference between the groups
The test statistic for the difference in mean is given as follows;
[tex]t=\dfrac{(\bar{x}_1-\bar{x}_{2})}{\sqrt{\dfrac{s_{p}^{2} }{n_{1}}+\dfrac{s _{p}^{2}}{n_{2}}}}[/tex]
Plugging in the values, gives;
[tex]t=\dfrac{(46-55)}{\sqrt{\dfrac{18 }{10}+\dfrac{18}{10}}} \approx -4.73[/tex]
The degrees of freedom, n₁ + n₂ - 2 = 20 - 2 = 18
The critical-t = 2.101
Therefore
Given that the test statistic is larger than than the critical-t, we reject the null hypothesis that there is no difference
Find the Surface Area of the composite figure acellus
Answer:
653 is the total suface area
Step-by-step explanation:
i have all the math in the note book but i can explain it very simply you find the area of the big base which is 120 the side of 12 which equals 84 and the side of ten which equals 70 and multiply them all by two which gives you 548 then you multiply the base of the small figure (only count one of the shapes bases btw) and that equals 9 the you find the sides which are 24 each this gives you 96 + 548 = 644 +9 = 653 and there is your answer
Answer:
644in~2
Step-by-step explanation:
acellus 2022 ;)
Please help will be marked as brainliest if correct
Answer:
[tex]{ \tt{question \: 1.}} \\ { \bf{ = {}^{ + } 24}} \\ \\ { \tt{question \: 2.}} \\ { \bf{ = in \: the \: third \: quadrant}} \\ \\ { \tt{question \: 3.}} \\ { = \bf{graph \: J}} \\ \\ { \tt{ \underline{ \blue{becker \: jnr}}}}[/tex]
someone plz help me!!
Answer:
P'=(0,3)
Step-by-step explanation:
P'=(-5+5, 7-4)
The area of the triangle below is 12 square inches. What is the length of the base?
Answer:
b = 8 in
Step-by-step explanation:
The area (A) of a triangle is calculated as
A = [tex]\frac{1}{2}[/tex] bh ( b is the base and h the perpendicular height )
Here A = 12 and h = 3 , then
[tex]\frac{1}{2}[/tex] b × 3 = 12 , that is
1.5b = 12 ( divide both sides by 1.5 )
b = 8
What is the slope and y intercept of the equation?
y=1/2x
m=
b=
⊹˚ʚ ❑Answer︰slope is 1/2 and y-int. is 0
✎Daily reminder: make sure to eat food and stay hydrated, have a good day :D
i need help asap
i need to know how to show work
Answer:
A= πr²
A=3.14*5*5
A=78.5cm²
( 3 1 ) 2 +3 2 =left parenthesis, start fraction, 1, divided by, 3, end fraction, right parenthesis, squared, plus, 3, squared, equals
Answer:
I guess that we have the equation:
(1/3)^2 + 3^2 =
And we want to solve it.
Here just remember that:
3^2 = 3*3 = 9
then:
(1/3)^2 = (1/3)*(1/3) = 1/9
replacing these in the expression, we get:
(1/3)^2 + 3^2 = 1/9 + 9
If we want to write this as a single fraction, we can rewrite:
1/9 + 9 = 1/9 + (9/9)*9
= 1/9 + 81/9 = (1 + 81)/9 = 82/9
The solution to the equation is 82/9. The equation is: [tex](1/3)^2 + 3^2.[/tex]Calculate the square of [tex](1/3): (1/3)^2 = 1/9[/tex]
Calculate 3 squared:
[tex]3^2 = 9[/tex]
Now, substitute these values back into the original equation:
[tex](1/3)^2 + 3^2 = 1/9 + 9[/tex]
To add these fractions, you need a common denominator. In this case, the common denominator is 9:
1/9 + 81/9 = (1 + 81)/9 = 82/9
So, the solution to the equation is 82/9.
To know more about equation:
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Complete question is:
Solve the equation: (1/3)^2 + 3^2 =
