Answer:
98 centimeters
Step-by-step explanation:
perimeter of rectangle=2(l+b)
width=breadth=77centimetrs
perimeter=340 centimeters
340=2(l+77)
340=2l+144
340-144=2l
196=2l
l=98 centimetrs
Which of the following best describes the relationship between the chords NR and QS shown in the diagram below?
Answer:
C
Step-by-step explanation:
By observation, we can see very clearly that NR and QS are neither parallel nor perpendicular. Hence we can ignore A and B.
We notice that VT and VU are the same length.
Hence we can conclude that NR and QS must also be the same length (i.e they are congruent)
Therefore C is the answer.
I need help finding the area of the triangle plz. sorry I don't understand fractions that much
Answer:
[tex]24\frac{4}{15}\\\mathrm{Decimal:\quad }\:24.26666\\=24.27m^2[/tex]
Step-by-step explanation:
Area of right triangle formula is
[tex]A=\frac{ab}{2} \\\frac{5\frac{3}{5}\cdot \:8\frac{2}{3}}{2}\\\mathrm{Convert\:mixed\:numbers\:to\:improper\:fractions}:\quad 5\frac{3}{5}=\frac{28}{5}\\\frac{\frac{28}{5}\cdot \:8\frac{2}{3}}{2}\\\mathrm{Convert\:mixed\:numbers\:to\:improper\:fractions}:\quad 8\frac{2}{3}=\frac{26}{3}\\\frac{\frac{28}{5}\cdot \frac{26}{3}}{2}\\\mathrm{Multiply\:}\frac{28}{5}\cdot \frac{26}{3}\::\quad \frac{728}{15}\\=\frac{\frac{728}{15}}{2}[/tex]
[tex]\mathrm{Apply\:the\:fraction\:rule}:\quad \frac{\frac{b}{c}}{a}=\frac{b}{c\:\cdot \:a}\\=\frac{728}{15\cdot \:2}\\\mathrm{Multiply\:the\:numbers:}\:15\cdot \:2=30\\=\frac{728}{30}\\\mathrm{Cancel\:the\:common\:factor:}\:2\\=\frac{364}{15}\\\mathrm{Convert\:improper\:fractions\:to\:mixed\:numbers}:\quad \frac{364}{15}=24\frac{4}{15}\\=24\frac{4}{15}\\\mathrm{Decimal:\quad }\:24.26666[/tex]
A line of best fit is drawn for the set of points shown on the graph.
A 2-column table with 10 rows. The first column is labeled x with entries 5, 6, 8, 8, 10, 11, 14, 15, 16, 18. The second column is labeled y with entries 8.9, 11.4, 13.6, 14, 15.3, 12.25, 22.1, 21.8, 20.8, 24.5. A graph shows the horizontal axis numbered 4 to 16 and the vertical axis numbered 4 to 24. A line increases from 0 to 17.
Which point is an approximate extrapolation for x = 30 from the line of best fit?
(23, 30)
(30, 38)
(44, 30)
(30, 72)
yo hice el examen y la tuve mal pero me dijo cual era la correcta y es (30,38)
I do the exam and I heve it wrong but the exam put what was the correct answer and it is (30,38)
option B
Equation of Linear Regression line is
y=1.14 x + 3.805
so, (30,38) is an approximate extrapolation for x = 30 from the line of best fit.
What is line of regression?A line of regression is that line which passes through none of the points, few points or all the points in the two dimensional coordinate plane.It tells value of one variable when another variable is known.
here, we have,
A line of best fit is drawn for the set of points shown on the graph.
from the given information,
we get,
for, x=30
y=1.14 × 30 +3.805
y=34.20 +3.805
y=38.005
y=38 (approx)
Equation of Linear Regression line is
y=1.14 x + 3.805
so, (30,38) is an approximate extrapolation for x = 30 from the line of best fit.
So, Ordered pair is , (30,38)
Option B
To learn more on line of regression:
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what is the slope of the line graphed below (3,6) (0,-1)
Answer:
B
Step-by-step explanation:
Answer:-2
Step-by-step explanation:
In the equation, y = -4x + 10, what are the slope (m) and y-intercept (b)?
a. m = -4, b = -10
b. m = -4, b = 10
c. m = 10, b = -4
d. m = 10, b = 4
Answer:
Its B
Step-by-step explanation:
the y interceot is +10 so it is positie 10 and the slope is -4 so it is negative 4
Alan can run 5 miles in 40 minutes. If he maintains the same pace, what is the greatest number of miles he can run in 160 minutes?
A. 40
B. 60
C. 20
D. 30
Answer:
C)20
Step-by-step explanation:
Cuz 160/8 is 20
Two lines meet at a point that is also the endpoint of a ray. Set up and solve the appropriate equations to determine and
Answer:
Angle x=19°
Angle Y=53° hopes this helps i might be wrong idk
Step-by-step explanation:
Since a right angle is 90° and a straight line is 180°,the other side(71+x)=90.Therefore,90-71=19,which is angle x.There is another straight line,since angle x is 19°.All you have to do is subtract 71+37+19 from 180 to get Angle Y.The answer is 53°.Angle X=90-71=19Angle Y=180-37-71-19
The area of this parallelogram is 120 mm2. Find the value of x. 9 mm 12 mm 15 mm 6 mm
Answer:
[tex]x=12\:mm[/tex]
Step-by-step explanation:
[tex]A=bh[/tex]
[tex]b \times h=120[/tex]
[tex]b \times 10=120[/tex]
[tex]b=120 \div 10[/tex]
[tex]b=12[/tex]
Determine the value of z. answers: A) 57° B) 53° C) 121° D) 239°
Answer: a
Step-by-step explanation:
Answer:
121
Step-by-step explanation:
The exterior angle measurement is equal to the sum of the opposite interior angles
34+ 87 = z
121 = z
In a parallelogram, both paires of oppsite sides are parallel? true or false
Answer:
True
Step-by-step explanation:
A parallelogram is a quadrilateral with both pairs of opposite sides parallel.
Answer:
True bc both paired of opposite sides are parallel
Step-by-step explanation:
Hope this helps
Correct me if this is wrong
HELP ME PLEASEEE thanks
Answer:
47°
Step-by-step explanation:
Since x and 133° are supplementary (meaning they add up to 180°), x + 133 = 180 so that means x = 47°.
please help and answer this for me
Answer:
Subtract 58 from both sides
Step-by-step explanation:
to determine the inverse of the given function change f(x) to y switch and y and solve for
Answer:
x, y, 4, 0
Step-by-step explanation:
To determine the inverse of the given function change f(x) to y switch x and y and solve for y.
f(x) = sqrt(x - 4)
y = sqrt(x - 4)
x = sqrt(y - 4)
x^2 = y - 4
x^2 + 4 = y
y = x^2 + 4
The domain of the inverse is the same as the range of the original function.
inverse f(x) = x^2 + 4
x^2 + 4 >= 4
x^2 >= 0
x >= 0
The resulting function can be written as inverse f(x) = x^4 + 4, where x >= 0.
Answer:
x, y, 3, and 0
Find the 7th term of the geometric sequence a3 =128,r=-1/4
Answer:
Step-by-step explanation:
The general formula for this sequence is a(n) = a(1)*(-1/4)^(n - 1). We don't yet know a(1).
If a(3) = 128, then 128 = a(1)*(-1/4)^(3 - 1), or
128 = a(1)*(1/16)
and so a(1) = 128/16
resulting in the specific formua a(n) = 8(-1/4)^(n - 1)
Now let's find a(7):
a(7) = 8(-1/4)^1 * (-1/4)^(6)
or
a(7) = 8(-1/4)^7
solve the formula for calculating the perimeter of a parallelogram with sides b and c for c p = 2b+2c
Solve and work out the value of a
Step-by-step explanation:
Since these angles are supplementary (meaning they have a sum of 180 degrees) we get 3a + 2a + 4a = 180° which simplifies to 9a = 180 and then a = 20°
Answer:
a = 20
Step-by-step explanation:
The angles form a straight line, which is 180 degrees
3a + 2a + 4a = 180
Combine like terms
9a = 180
Divide by 9
9a/9 =180/9
a = 20
What are the next two numbers in this pattern?
3,-9, 27, -81, ...
A 243, -729
B -135, 189
C-243, 729
D 135, -189
I really need your help if I get this right I’ll pass
Dante is selling donuts outside a huge office building every morning. The first week
he made $25 selling donuts, the second week he made $45 the third week he made
$65! Everyone loved them and they are spreading the word. If this pattern continues
how much money will he be making in week 10?
Answer:
$205Step-by-step explanation:
45 - 25 = 20
65 - 45 = 20
as you can see the common difference between the 3 consecutive numbers 25 , 45 and 65 is a constant (20)
so ,we are in an arithmetic sequence case with :
first term 25 common difference r = 20Let’s label the sequence: Un
then
Un = U1 + (n-1)×r
= 25 + (n-1)×20
= 20n + 5
for n = 10 → U10 = 20(10) + 5 = 200 + 5 = 205
Which statistic can not be determined from a box plot representing the scores on a math test?
the median score
the lowest score
the score that occurs most frequently
the highest score
Answer:
the score that occurs most frequently
Statistics can not be determined from a box plot representing the scores on a math test is the score that occurs most frequently.
Definition of Box plot:It displays the five-number summary of a set of data.
The five-number summary is
minimum scorefirst quartile median score third quartilemaximum scoreIn a box plot, we draw a box from the first quartile to the third quartile.
A vertical line goes through the box at the median.
Therefore, the score that occurs most frequently is the correct answer.
To know more about box plot, refer,
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(27)^-2/3 is equal to
Answer:
1/9
Step-by-step explanation:
(27)^-2/3=(3^3)^-2/3= 3^(-2/3*3)= 3^-2= 1/3^2= 1/9
Answer:
=1/9
Step-by-step explanation:
Apply exponent rule: a^-b=1/a^b
(27)^-2/3 = 1/(27)^2/3
Step-by-step method in attachment:
if -2 is a root of the equation 3x2 +7x + p = 0, find the values of k for which the roots of the equation x2 + k(4x + k - 1) + p = 0 are equal.
Answer:
first 0ne
Step-by-step explanation:
Solve this problem for x:
2^2x -2^x -2=0
Answer:
x=1
Step-by-step explanation:
First, you shift the -2 to the other side. Your new equation is 2^2x -2^x=2. Then, you continue to solve and simplify the equation. Your final answer will be x=1.
2y+ 18x = 2x(x +9)
Please show work!
Answer:
Step-by-step explanation:
[tex]2y+18x=2x\left(x+9\right)\\Parabola\:standard\:equation\\4p\left(yk\right)=\left(xh\right)^2\:\mathrm{\:is\:the\:standard\:equation\:for\:an\:up-down\:facing\:parabola\:with\:vertex\:at}\:\left(h,\:k\right), \\\mathrm{and\:a\:focal\:length\:}\:|p|\\\mathrm{Rewrite}\:2y+18x=2x\left(x+9\right)\:\mathrm{in\:the\:standard\:form}\\2y+18x=2x\left(x+9\right)\\\mathrm{Rewrite\:as}\\2y=2x\left(x+9\right)-18x\\\mathrm{Divide\:by}\:2\\y=x^2\\\mathrm{Rewrite\:in\:standard\:form}[/tex][tex]4\cdot \frac{1}{4}\left(y-0\right)=\left(x-0\right)^2\\Therefore\:parabola\:properties\:are:\\\left(h,\:k\right)=\left(0,\:0\right),\:p=\frac{1}{4}[/tex]
The presence of an angle bisector will result in what type of angles?
Complementary angles
Congruent angles
Vertical angles
Supplementary angles
Answer:
Congruent angles
Step-by-step explanation:
Angle bisectors, divides the given angle into two equal parts
thus if value of angle is x then angle bisector will divide this angle into parts
of equal value x/2 .
_______________________
complementary angles are two angles whose sum is 90 degrees.
since we do not the value of angle we cannot say with certainty that the angles are complementary
Congruent angles are angles who have the same angular measurement.
since, in above problem we have seen that angle bisector divides the angle in two equal parts.
hence angles are equal and thus they are congruent angle.
Congruent angles is the correct answer.
_______________________________________
vertical angles are angle opposite two one another when two line cross each other.
Since in the problem line is not intersecting each other thus, angles do not qualify to be vertical angles
Supplementary angles are two angles whose sum is 180 degrees.
since we do not the value of angle we cannot say with certainty that the angles are Supplementary.
Hence correct option is Congruent angles
Answer:
congruent angles
Step-by-step explanation:
297 miles in 11 gallons of gas what is the unit rate
Answer: 27 miles in 1 gallon
Step-by-step explanation:
297/11
The unit rate of 297 miles in 11 gallons will be 27 miles/gallons.
What are the ratio and proportion?The ratio is the division of the two numbers.
For example, a/b, where a will be the numerator and b, will be the denominator.
We will be used when division is not possible wholly
For example 4/2 is divisible so we write 2 instant of 4/2 while 1/3 is not divisible so we write 1/3 instant of 0.33.
Proportion is the relation of a variable with another. It could be direct or inverse.
The ratio is very useful to determine complex calculation where decimal number become tough to solve.
Given,
297 miles in 11 gallons
297 miles ⇔ 11 gallons
Divide by 11 on both sides
297/11 miles ⇔ 11/11 gallons
27 miles ⇔ 1 gallon
So, 27 miles in 1 gallon.
Hence unit rate is 27 miles/gallon will be correct.
For more information about ratio and proportion
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Which of the following shows how the number 7 can be rewritten with the difference of squares identity? (16-9)=(4+3)(4-3) (18-11)=(9+6)(9-5) (25-4)=(5+2)(5-2) (16-9)=-1(4+3)(4-3) (64-1)=(8+1)(8-1)
Answer:
A) (16-9) =(4+3)(4-3)
Step-by-step explanation:
Explanation:-
Given the number = 7
The difference of two numbers are 16-9 =7
The difference of squares
4² - 3² = 7
We will use formula
a² - b² = (a-b) (a+b)
4² - 3² = (4 -3) (4+3)
16 -9 = (4 -3) (4+3)
Final answer:-
The number 7 can be rewritten with the difference of squares identity
16 -9 = (4 -3) (4+3)
Is figure B a scale copy of figure A. Yes or No Please help me thank you
Answer:
Yes
because they both face the same direction
and they triangle in shape
I am giving you some data, I want you to make up 2 questions about probability using that data.
You have a bowl of Jelly Belly jelly beans. There are 5 flavors, 25 watermelons, 13 tutti fruitti, 45 cherry, 10 cinnamon, 32 buttered popcorn.
Answer:
What’s the probability of choosing a tutti fruitti and a cherry jelly bean?
What’s the probability of choosing a watermelon, replacing it, then choosing a buttered popcorn?
Step-by-step explanation:
During a football game, a quarterback decides to run the ball 45 yards to score a touchdown. How many feet did
he run to score the touchdown? (round to whole number)
Answer:
135
Step-by-step explanation: 45 times 3
Answer:
135 feet
Step-by-step explanation:
a yard is a little more than a foot and we just round to
1 yard = 3feet so 45*3 is 135 feet
A triangle has angle measurements of 36°, 90°, and 54°. What kind of triangle is it?
A. acute B. right C. obtuse
Answer:
Right
Step-by-step explanation:
when a triangle has a 90 degree angle it is always right
Answer:
right angle triangle
Step-by-step explanation:
triangle consists of 90° causing it to be right angled