Answer:
me
Step-by-step explanation:
Answer:
probably
Step-by-step explanation:
...hope it helped
What will be the perimeter and the area of the rectangle below if it is enlarged using a scale factor of 6.5?
The perimeter and the area of the rectangle is as follows:
perimeter=182 cm
area=2028cm².
What is a rectangle?A rectangle is a closed, four-sided figure in two dimensions. The opposite sides of a rectangle are equal and parallel to one another, and all of its angles are 90 degrees.
The area of a rectangle is equal to the product of the rectangle's length and breadth, or "l" and "w," and is written as follows:
Rectangular Area = (l x w)
The formula for the perimeter, 'P' of a rectangle whose length and width are 'l' and 'w' respectively is 2(l + w).
Formula for the Perimeter of a Rectangle: 2 (Length + Width)
Now in the question given,
Length of the rectangle = 8cm.
Width of the rectangle = 6cm.
So, original perimeter=2 × (8+6) +28 cm and
original area=8 × 6= 48 cm²
Now the scale factor = 6.5
New length = 8 × 6.5 = 52cm
width = 6 × 6.5 = 39cm.
New perimeter = 2(52+39) =182 cm.
New area = 52 × 39 = 2028cm².
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The complete question is:
What will be the perimeter and the area of the rectangle below if it is enlarged using a scale factor of 6.5?
Algebra 2 Unit 1 Assessment
Which of the following contains multiple variables?
4a + 5b + 1
4a + 5a + 1
4a - 1
4 - 1
Answer:
I would have to say A
Step-by-step explanation:
B has 2 of the same variables while A has to different variables and C&D have no variables there for the answer is A
Select all of the statements that are true for the given function.
A.The function is concave down on (negative infinity, 3)
B. The function is concave up on (negative infinity, 3)
C.The function is concave up on (3, infinity)
D.There is a maximum value at (4, 0)
E. There is a minimum value at (4, 0)
F.The function is decreasing on (3,4)
G. The function is decreasing on (negative infinity, 1)
H. The function is Increasing on (negative infinity, -1)
The statements that are true about the function are
A. The function is concave down for the interval (-∞, 3)
B. The function has a maximum value at (4, 0)
F. The function is decreasing on the interval (3, 4)
G. The function is decreasing on the interval (-∞, 1)
How to find the statements that are true for the function.From the graph, we seee that the function is concave down for the interval (-∞, 3)From the graph, we see that the function has a maximum value at (4, 0) since the tangent at that point is zero and it is concave down.From the graph, we see that the function is negative on the interval (3, 4) . So, the function is decreasing on the interval (3, 4)From the graph, we see that the function is negative for x < 1. So, the function is decreasing on the interval (-∞, 1)So, the statements that are true about the function are
A. The function is concave down for the interval (-∞, 3)
B. The function has a maximum value at (4, 0)
F. The function is decreasing on the interval (3, 4)
G. The function is decreasing on the interval (-∞, 1)
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the flag of a country contains an isosceles triangle. (Recall that an isosceles triangle contains two angles with the same measure.) If the of the third angle of the triangle is 40° more than three times the measure of either of the other two angles, find the measure of each the triangle. (Recall that the sum of the measures of the angles of a triangle is 180°.)
The two equal angles are each 36°.
The third angle is 108°.
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Use the red point in your equation. Write your answer using integers, proper fractions, and improper fractions in simplest form.
(1000-(-800))/(900-300) = 3 (slope)
y=mx+b
1000=3(900)+b
b = -1700
y=3x-1700
Find an equation in the form y=ax^2+bx+c for the parabola passing through the points.
(3,25) (1,3) (-5,-15)
Thanks for the help! :)
Answer: \(x^2+7.0x-5.0x\)
Step-by-step explanation:
What is the factored form of 64g3+8
Answer:8(2g+1)(4g2-2g+1)
Step-by-step explanation:
The sum of two numbers is 12. The difference of the two numbers is 6. What are the two numbers?
Answer:
3 and 9
Step-by-step explanation:
x+y=12
y-x=6
y-x=6
+x. +x
y=6+x
x+(6+x)=12
6+2x=12
-6. -6
2x=6
/2. /2
x=3
3+y=12
-3. -3
y=9
Hopes this helps please mark brainliest
How do I know if it’s true or false for number 1?
We want to know if the following statements are true or false
item a)
\(1-\cos x=\sin x\)To solve this one, we're going to use the following identity
\(\sin ^2x+\cos ^2x=1\)Rewriting this expression "isolating" the sine, we have
\(\begin{gathered} \sin ^2x+\cos ^2x=1 \\ \sin ^2x=1-\cos ^2x \\ \sin x=\pm\sqrt[]{1-\cos^2x} \end{gathered}\)Using this in our expression, we have
\(\begin{gathered} 1-\cos x=\sin x \\ \Rightarrow1-\cos x=\sqrt[]{1-\cos^2x} \end{gathered}\)When we have a difference of two squares, we can separate them as
\(a^2-b^2=(a+b)(a-b)\)Using this in the argument of the square root, we have
\(1-\cos ^2x=(1+\cos x)(1-\cos x)\)Using this to rewrite our expression
\(\begin{gathered} 1-\cos x=\sqrt[]{1-\cos^2x} \\ 1-\cos x=\sqrt[]{(1+\cos x)(1-\cos x)} \\ 1-\cos x=\sqrt[]{(1+\cos x)}\sqrt[]{(1-\cos x)} \\ \frac{1-\cos x}{\sqrt[]{1-\cos x}}=\sqrt[]{1+\cos x} \end{gathered}\)We can rewrite the numerator of the left side of the equation as the product of its square root.
\(1-\cos x=(\sqrt[]{1-\cos x})^2\)Using this in our expression, we have
\(\begin{gathered} \frac{(\sqrt[]{1-\cos x})^2}{\sqrt[]{1-\cos x}}=\sqrt[]{1+\cos x} \\ \sqrt[]{1-\cos x}=\sqrt[]{1+\cos x} \\ 1-\cos x=1+\cos x \\ -\cos x=\cos x \end{gathered}\)Since the cosine of an angle is not equal to minus its value, the first statemente is FALSE.
item b)
\(1-\cos ^2x=\sin ^2x\)We're going to use the same identity to solve this one.
\(\sin ^2x+\cos ^2x=1\)If we substitute the number 1 in our statement for this identity, we're going to have
\(\begin{gathered} 1-\cos ^2x=\sin ^2x \\ (\sin ^2x+\cos ^2x)-\cos ^2x=\sin ^2x \\ \sin ^2x+\cos ^2x-\cos ^2x=\sin ^2x \\ \sin ^2x=\sin ^2x \\ 1=1 \end{gathered}\)Since we got a true equation in the end, the statement on this item is TRUE.
item c)
\(\frac{1}{\sin x}=\csc x\)This is a given identity(you can check it is a part of the table above the question), then, it is TRUE.
item d)
\(\frac{\cos x}{\sin x}=\cos x(\frac{1}{\sin x})\)To solve this one, we're going to use the following property.
\(\frac{a}{b}=a\cdot\frac{1}{b}\)You can take out the numerator as a coefficient for our fraction.
Then, this statement is also TRUE.
item e)
\(\frac{\cos x}{\sin x}=\cos x\csc x\)Using the previous two statements, we can solve this one,
Since the statement d is true
\(\frac{\cos x}{\sin x}=\cos x(\frac{1}{\sin x})\)And statement c is also true
\(\frac{1}{\sin x}=\csc x\)Then, if we substitute c on d, we have statement e, therefore, statement e is also TRUE.
item f)
\(\cos ^2x-1=\sin ^2x\)
To solve this one, we're going to use the following identity
\(\cos ^2x+\sin ^2x=1\)Again, making a substitution, we have
\(\begin{gathered} \cos ^2x-1=\sin ^2x \\ \cos ^2x-(\sin ^2x+\cos ^2x)=\sin ^2x \\ \cos ^2x-\sin ^2x-\cos ^2x=\sin ^2x \\ -\sin ^2x=\sin ^2x \end{gathered}\)Since the last equation is false, then the statement f is also FALSE.
item g)
\(\frac{2}{\cos x}=2\sec x\)Using the same property used on item d, we have
\(\frac{2}{\cos x}=2(\frac{1}{\cos x})\)And also using the definition os sec x, we have
\(\sec x=\frac{1}{\cos x}\)Using those properties in our statement, we have
\(\begin{gathered} \frac{2}{\cos x}=2\sec x \\ 2(\frac{1}{\cos x})=2\sec x \\ 2(\sec x)=2\sec x \\ 2\sec x=2\sec x \end{gathered}\)Then, our last statement g is also TRUE.
Interpreting Points on the y-axis
What is true about all points on the y-axis in Quadrant I?
All have an x-coordinate of 0.
All have a y-coordinate of 0.
All have the ordered pair (0, 0).
All are directly above the origin.
All are directly to the right of the origin.
Answer:
I think the Answer is All are directly above the origin.
Step-by-step explanation:
Simplify the radical expression by rationalizing the denominator. 4/√10 A. 2√10 B. 2√10/5 C. 10√4 D. √50/10
Answer:
Its 2√10/5. So B.
Step-by-step explanation:
I did it on paper.
What is greater 1.0275 or 1.029
Answer:
1.029 is greater than 1.0275
Step-by-step explanation:
Answer:
1.029
Step-by-step explanation:
What is greater 1.0275 or 1.029
.027 < .029
So, 1.029 is greater.
Can u pleaseee answer all parts pleaseeeee <3333
please help meee
a. In interval notation, Increasing intervals: (12pm, 1pm) U (1pm, 2pm) U (2pm, 3pm). Decreasing intervals: (8am, 9am) U (11am, 12pm). Constant intervals: (9am, 10am) U (10am, 11am)
b. The increase in cost between 12 noon and 3 pm is $2.
c. Yellow Cab has a lower price per 1km than Swift ride at (8am, 9am) (9am, 10am) (2pm 3pm)
How do you express a data set in interval notations?Interval notation is used to represent continuous intervals of numbers or values, like ranges on a number line.
The graph shows that from 8-9am, and 11-12pm, the cost from Swift Ride decreases.
We can represent it as (8am, 9am) U (11am, 12pm).
It increases at these times (12pm, 1pm) U (1pm, 2pm) U (2pm, 3pm).
And stays constant at : (9am, 10am) U (10am, 11am)
Cost increase from 12 to 3pm,We simply deduct the 12pm's cost from 3pm's cost.
So, we have
Cost increase = $3.5 - $1.5
Evaluate the difference
Cost increase = $2
Hence, the cost increase is $2
The time interval where the cost is lowerWhen you plot the points provided for Yellow cab, you'll notice that Yellow Cab has a lower price per 1km than Swift ride at (8am, 9am) (9am, 10am) (2pm 3pm)
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answer all 3!!!!
easy brainliest!!
Answer:
Step-by-step explanation:
1) DE = 6/sin63 = 6.7
DF = 6/tan63 = 3.1
m∠E = 180 - 90 - 63 = 27°
2) tan30 = 1/√3 = UV / (27√10)
UV = (27√10) / √3 · (√3/√3) = (27√30) / 3 = 9√30
3) cosV = 3/8
cos⁻¹(3/8) = 68
m∠V = 68°
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The dimension of the rectangular of a norman window will be 1.6803*3.3606.
What is the area of Rectangle?
In any quadrilateral which have equal and parallel opposite sides is considered to be a rectangle. It is also called as a polygon with four sides and the four angles that are all 90 degrees each. A rectangle is a shape with only two dimensions. The product of the length and the breadth calculates its area. The length of the diagonals of any rectangle are equal in length. Thus, the length of the diagonals can be calculated easily using the Pythagoras theorem where, the diagonal is considered to be the hypotenuse.
Let r represents the radius, and b be the breadth.
Then, perimeter = 3.14*r+2r+2b = 12
For the dimension needed for the most light to enter we need to maximize the area.
Hence, area of the window : area of the semicircle + area of the rectangle
= \(\frac{3.14*r^2}{2} + 2rb\)
= \(12r - (\frac{3.14+4}{2}) r^2\)
A'(r) = 0
Therefore, \(r=\frac{12}{3.14+4}\) which is nearly equal to 1.6803m
From this value of r we can calculate the value of b to be;
b= 1.6803m
Thus, a= 3.606m
Thus the required dimension is : 1.6803*33606
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Solve the following equation step by step and justify your steps when using an exponential property.
Answer:
-1
Step-by-step explanation:
Answer:
-1
Step-by-step explanation:
:)
Help please!
S = 180m
How many strides would a runner take during a 1-hour run (60 min)
The number of strides the runner will make during 1 hour run will be =
10,800.
How to calculate the total number of strides made by the runner in a hour?To calculate the distance or number of strides made by the runner in an
hour, the graph given above is considered as follows;
The y-axis which represents the number of strides is plotted against the x-axis which is the number of hours.
From the graph
20 minutes= 3600 strides
60 minutes = X strides
make X the subject of formula;
x= 3600×60/20
= 216000/20
= 10,800
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what’s the quotient of -15b^5+18b^3/3b
This is the quotient of (-15b^5 + 18b^3) divided by 3b. The expression simplifies to -5b^4 + 6b^2.
To find the quotient of the expression (-15b^5 + 18b^3) divided by 3b, we can perform the division by simplifying each term separately.
First, let's divide -15b^5 by 3b:
(-15b^5) / (3b) = -15/3 * b^5/b = -5 * b^(5-1) = -5b^4
Next, let's divide 18b^3 by 3b:
(18b^3) / (3b) = 18/3 * b^3/b = 6 * b^(3-1) = 6b^2
Now, we have simplified each term individually. The resulting expression is:
-5b^4 + 6b^2
This is the quotient of (-15b^5 + 18b^3) divided by 3b. The expression simplifies to -5b^4 + 6b^2.
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The sum of 1/7 of a number and 1/8 of that number gives 12
Answer:
the problem is 1/7x+1/8?
Solve the system of linear equations using substitution. Use a pencil and paper. Which expression would be easier to substitute into the other equation, in order to solve this problem? Explain your reasoning.
x=4y-9
x+4y=3
Answer:
(- 3, 1.5)
--------------------------
Given system:
x = 4y - 9x + 4y = 3The first expression is ready to be substituted as no further operation is required to simplify it.
4y - 9 + 4y = 38y - 9 = 38y = 12y = 12/8y = 1.5Find x:
x = 4*1.5 - 9x = 6 - 9x = - 3suppose a person in the club with 91 members transfers to the club with 71 memebers. A student claims that the measures of center and the measures of spread will change. Correct the students error
Answer:
It is an incorrect claim from the student that the measures of central tendency will change.
It is a correct claim from the student that the measures of spread will change but only range and standard deviation.
Step-by-step explanation:
The complete question is: Suppose a person in the club with 91 members transfers to the club with 71 members. A student claims that the measures of centers and the measures of spread will all change. Correct the student’s error.
Data set was: 80, 74, 77, 71, 75, and 91.
Firstly, we have to represent the original data set in ascending order;
Original data set = 71, 74, 75, 77, 80, and 91.
Now, it is stated that a person in the club with 91 members transfers to the club with 71 members, so the new data set is;
New data set = 72, 74, 75, 77, 80, and 90.
Now, first taking into account the measure of central tendency that is; Mean and Median.
Mean of both the data will remain the same because there is no change in the sum of all values in both the data set, i.e;
Mean of original data = \(\frac{71+74+75+77+80+91}{6}\)
= \(\frac{468}{6}\) = 78
Mean of new data = \(\frac{72+74+75+77+80+90}{6}\)
= \(\frac{468}{6}\) = 78
Now, the median of both the data set will also remain the same because there is a change in the first and last term of the data, so there will be no effect on the middle value in both the data.
Hence, it is an incorrect claim from the student that the measures of central tendency will change.
Now, taking into account the measure of spread that is; Range, Inter-quartile range, and Standard deviation.
Range is given by = Highest value - Lowest value
So, the range of original data = 91 - 71 = 20
and the range of new data = 90 - 72 = 18
This means that the range of data has been changed.
Now, the inter-quartile range = Second last term - Second term of data
So, the inter-quartile range of original data = 80 - 74 = 6
and the inter-quartile range of new data = 80 - 74 = 6
This means that the inter-quartile range of data has not been changed.
Now, the standard deviation = \(\sqrt{\frac{\sum (X - \bar X)^{2} }{n-1} }\)
So, the standard deviation of the original data = \(\sqrt{\frac{(71-78)^{2} +.......+ (91-78)^{2} }{6-1} }\)
= 7.043
The standard deviation of the new data = \(\sqrt{\frac{(72-78)^{2} +.......+ (90-78)^{2} }{6-1} }\)
= 6.481
This means that the standard deviation has been decreased.
I will give brainiest to whoever answers correctly !!
Please do not steal my points I'm tired of it put a legit answer or leave!! I will give brainiest to whoever answers correctly!!
9514 1404 393
Answer:
a) $8.73
b) $608.73
Step-by-step explanation:
a) The interest charged is ...
I = Prt
where P is the amount borrowed, r is the daily rate, and t is the number of days.
I = $600×0.04848×30 = $8.73 . . . interest
__
b) The amount repaid is the borrowed amount plus interest.
$600 +8.73 = $608.73 . . . repaid
what is 11/4 times 4/9
Answer: 11/9
Step-by-step explanation:
you would cross out the two 4s(using butterfly method) and make them 1s. So 11 x 1 and 1 x 9 = 11/9
Answer:
11/4 times 4/9 is 11/9
Step-by-step explanation:
We have to find,
(11/4) times 4/9
\((11/4)(4/9) = (11*4/4*9)\)
We can cancel the 4s from the numeratorand denominator to get,
\((11*4/4*9) = (11*1/1*9) = 11/9\\=11/9\)
The answer is 11/9
Three pizza are shared equally among 12 people.what fraction of a pizza will each person get?
A
4/1
B
3/1
Answer:
d) 1/12
Step-by-step explanation:
2x - 3 = -5
What is X?
Answer: x=-1
Step-by-step explanation:
2x - 3 = -5
2x - 3 +3= -5+3
2x=-2
x=-1
Answer:
x = -1
Step-by-step explanation:
To find x, we have to get x by itself.
2x - 3 = -5
Add 3 to both sides
2x - 3 +3 = -5 +3
2x = -2
Divide by 2 to both sides
2x ÷2 = -2 ÷2
x = -1
Have a good rest of your day! :)
without using a calculator
cos² 43° - sin² 74° + cos² 47 - Sin16°
Answer:
100
Step-by-step explanation:
because if you add it all up you will find the sum
8 necklace have 864 beads in all how many beads will 15 such necklace have?
i need help quick please!!
5 toppings because
1.5*5= 7.5 7.5+10=17.5
and
1*5=5 5+12.5= 17.5
pizza a=1.5x+10
pizza b=1x+12.50
1.5x+10=1x+12.50
.5x+10=12.5
.5x=2.5
2.5/.5= 5
Keisha wants to estimate the percentage of managers at her company that hold an MBA. She surveys 320 managers and finds that 70 hold an MBA. Find the margin of error for the confidence interval for the population proportion with a 90% confidence level.
Answer:
The margin of error is of 0.038 = 3.8%.
Step-by-step explanation:
In a sample with a number n of people surveyed with a probability of a success of \(\pi\), and a confidence level of \(1-\alpha\), we have the following confidence interval of proportions.
\(\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}\)
In which
z is the zscore that has a pvalue of \(1 - \frac{\alpha}{2}\).
For this problem, we have that:
\(n = 320, \pi = \frac{70}{320} = 0.21875\)
90% confidence level
So \(\alpha = 0.1\), z is the value of Z that has a pvalue of \(1 - \frac{0.1}{2} = 0.95\), so \(Z = 1.645\).
The margin of error is:
\(M = z\sqrt{\frac{\pi(1-\pi)}{n}}\)
\(M = 1.645\sqrt{\frac{0.21875(1-0.21875)}{320}}\)
\(M = 0.038\)
The margin of error is of 0.038 = 3.8%.
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Identify the three-dimensional figure that can be made from this net.
Answer:
The answer is D. Cone
Step-by-step explanation: