Step-by-step explanation:
a trapezoid.
the 2 sides on the left and the right are equal (congruent), and so are the diagonals.
but these diagonals are usually not perpendicular (perpendicular = intersecting each other at 90°).
The following data points represent the number of quesadillas each person at Toby's Tacos ate.
Sort the data from least to greatest.
0,0, 1/2, 1/2, 1/4, 1, 1, 1, 5/4, 2, 2.
What is the interquartile range of this data?β
The interquartile range for the given data is 1 quesadilla.
What is the interquartile range?The interquartile range is a measurement of a data set's "middle fifty." A range is a measurement of where a set's beginning and end are located.
To get the interquartile range, we must know the first and third quartiles. To find those, we need to know the median of the data.
There are 11 data points, so we can cross out 5 numbers on the left and cross out 5 numbers on the right. That leaves a median of 1.
Since we know the median is 1, we can find the first quartile by finding the median of the following numbers:
0, 0, 1/4, 1/2, 1/2 (any number less than 1).
There are five numbers, so cross out two numbers from the left and cross out two numbers from the right. We are left with the first quartile of 1/4.
Now that we have the first quartile, we need to find the third quartile. Since the median was actually the first "1" in the data set, the third quartile will be the median of the numbers to the right of that "
1: 1, 1, 5/4, 2, 2.
Cross out the leftmost two numbers, and cross out the rightmost two numbers. We are left with the third quartile of 5/4.
Now that we have both the third and first quartiles, we can find the interquartile range! The IQR is calculated by finding the third quartile minus the first quartile.
5/4 - 1/4 = 4/4 = 1.
Therefore, the interquartile range is 1 quesadilla.
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verify the identity
sin^3 0 +cos^3 0 / sin 0+ cos 0 = 1 - sin 0 cos 0
Answer:
See below for proof of identity.
Step-by-step explanation:
Since both terms of [tex]\sin^3\theta+\cos^3\theta[/tex] are perfect cubes, we can use the formula [tex]a^3+b^3=(a+b)(a^2-ab+b^2)[/tex] where [tex]a=\sin\theta[/tex] and [tex]b=\cos\theta[/tex]:
[tex]\displaystyle \frac{\sin^3\theta+\cos^3\theta}{\sin\theta+\cos\theta}\\\\\frac{(\sin\theta+\cos\theta)(\sin^2\theta-\sin\theta\cos\theta+\cos^2\theta)}{\sin\theta+\cos\theta}\\ \\\frac{(\sin\theta+\cos\theta)(1-\sin\theta\cos\theta)}{\sin\theta+\cos\theta}\\\\1-\sin\theta\cos\theta[/tex]
Thus, the identity is proven.
Emma lends half her collection of anime novels to her friend, Emily. Emma then buys six more novels. If she has 14 books now, how many novels did Sweden have initially?
Answer:
16
(14-6)×2=16 So initially Emma had 16 books.
There are 914 students enrolled in Lakeview Elementary School. Frederich Elementary School has 276 fewer students enrolled. How many students are enrolled at Frederich Elementary School?
Answer:
638 students.
Step-by-step explanation:
girl this is basic math i don’t think i need to explain
Give the MOST specific name for the figure shown. A) parallelogram B) quadrilateral C) rhombus Eliminate D) trapezoid
Answer: C
Step-by-step explanation:
Because there are two pairs of opposite parallel sides, it is a parallelogram.
Since the diagonals intersect at a right angle, the parallelogram is also a rhombus.
Which two expressions are equivalent?
O z
7 (6+z)
7.6+7.2
O
3 (9+y)
3.9+ y
O
t +(4.5)
(t + 4).5
X + 12 : 4
(4+12) = x
Answer:
First option
Step-by-step explanation:
The result of first expression:
7(6+z) multiply 7 with inside the parenthesis
7(6+z) = 42 + 7z
the result of second expression:
since we need to do multiplying first,
7*6 = 42 and 7*z = 7z
then we add them
42 + 7z this is the same result we found for the first equation
What is the slope of the line that passes through the points (-1, 1) and (-1, 4)? Write your answer in simplest form.
Answer: undefined
Step-by-step explanation:
slope form: [tex]\frac{y2 - y1}{x2 - x1}[/tex]
simply plug in values
[tex]\frac{4-1}{-1-(-1)}[/tex]
[tex]\frac{3}{0}[/tex]
Answer: undefined
you can also tell by realizing both x coords are the same, meaning the line is verticle and verticle lines' slopes are undefined
Grade 8 Mathematics level 3
The value of x in the given equation [ √( 1 + (25/144) ) = 1 + (x/12) ] is 5.
What is an Equation?
An equation is simply a mathematical formula that expresses the equality of two expressions, using the equals sign as a connection between them.
Given that;
√( 1 + (25/144) ) = 1 + (x/12)Find the value of x.First, we square both sides
√( 1 + (25/144) ) = 1 + (x/12)
(√( 1 + (25/144) ))² = (1 + (x/12))²
1 + (25/144) = 1 + ( x²/144)
Collect like terms
1 - 1 + (25/144) = ( x²/144)
25/144 = x²/144
We cross multiply
25 × 144 = x² × 144
Multiply each sides by 1/144
x² = 25
x = √25
x = 5
Therefore, the value of x in the given equation [ √( 1 + (25/144) ) = 1 + (x/12) ] is 5.
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Which number sentence is not true?
A. |-20| < 20
B. |9| = 9
C. |-20| > |9|
D. |9| < |20|
Answer:
A
Step-by-step explanation:
|-20| = 20 the positive value of -20
20 is not < 20 so A is false
All the rest are true
(B) |9| = 9
(C) |-20| = 20 > 9
(D) |9| = 9, |20| = 20 and 9 < 20
Find the values of the numbers m and n that will make (2x + m)2 = 4x2 + nx + 9 true, given
that both m and n are positive numbers.
The values of the numbers m and n that makes the given expression true are 3 and 12 respectively
Solving an equationFrom the question, we are to determine the values of the numbers m and n that will make the given expression true
The given expression is
(2x + m)² = 4x² + nx + 9
Opening the bracket on the left hand side,
(2x + m)²
(2x + m)(2x + m)
4x² + 2mx + 2mx + m²
4x² + 4mx + m²
∴ 4x² + 4mx + m² = 4x² + nx + 9
By comparing,
4mx = nx;
Then, 4m = n
and
m² = 9
∴ m = ±√9
m = ±3
Since we are given that both m and n are positive numbers,
∴ m = 3
Substitute the value of m into the equation, 4m = n
4×3 = n
∴ n = 12
Hence, the values of the numbers m and n that makes the given expression true are 3 and 12 respectively
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The volume of an aquarium is 4,000 cubic feet and has a height of 10 ft. if a similar aquarium has a height of 1 foot, how many cubic feet would the smaller aquarium hold
The volume that the similar aquarium will hold is 400 cubic feet
Similar figuresSimilar figures are figures that have similar angles and sides.
Given the following parameters
volume of aquarium = 4000 cubic feetheight of aquarium = 10feetheight of similar aquarium = 1 feetRequiredVolume of similar aquarium
Substitute into the formula
V/H = v/h
4000/10 = v/1
400 = v
v = 400 cubic feet
Hence the volume that the similar aquarium will hold is 400 cubic feet
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15,266,783.93 + 6,332,682.27442 - 92.833 + 20/100 divided by 42
Answer: 21599373.37618
Step-by-step explanation:
1) How big is a horsefly if 1 cm = 1m?
2) How big is the ghost if 1 cm= 20 cm?
3) How big is the kitty if 1 cm = 10 cm?
What is the value of log4 superscript 16?
1
2
4
8
answer ASAP
What is the length of the hypotnuse in a right triangle with sides lengths of 8 and 15
Answer:
Hypotenuse = 17
Step-by-step explanation:
if: a = 8, b = 15 c = hypotenuse:
[tex]c=\sqrt{a^{2}+b^{2} }[/tex]
[tex]c = \sqrt{(8)^{2} +(15)^{2} } =\sqrt{64+225}=\sqrt{289} =17[/tex]
Hope this helps
the simplified form of 6ab + 14a - 2ab + 3a is:
A) 21ab B) 4ab + 11a C) ab + 7a D) 4ab + 17a E) 4 + 17a
the solution to the equation 2x - 3 = 7 is:
A) x = 2 B) x = -5 C) x = 5 D) x = 6.5 E) x = 0.5
the solution to [tex]\frac{x}{3} -1 =4[/tex] is:
A) x = 13 B) x= 7 C) x = 9 D) x = 15 E) [tex]x=\frac{5}{3}[/tex]
the expanded form of 3(2y - 1) is:
a) 6y - 3 b) 5y - 1 c) 6y - 1 d) 6y + 2 e) 3y - 3
an equivalent equation to 5x = 2x + 9 is:
a) 2x = 5 b) 3x = 9 c) 0 = 3x + 9 d) 7x = 9 e) x = 9
the solution to the equation 2(x - 3) = 7 is:
a) x = 5 b) x = [tex]\frac{13}{2}[/tex] c) x = 2 d) x = [tex]\frac{1}{2}[/tex] e) x =[tex]\frac{7}{3}[/tex]
Eli is x years old. his sister is 2 years older. the sum of their ages is 22. a simplified equation to represent this is:
a) x + 2 = 22 b) 2x + 2 = 22 c) 2(x + 2) = 22 d) x(x + 2) = 22 e) 2x = 22
if A = [tex]\frac{1}{2}[/tex]bh with A = 360 and h = 40, then the value of b is:
a) 90 b) 4.5 c) 20 d) 18 e) 9
Answer:
2) x=5
4) 6y-3
Step-by-step explanation:
2) 2x-3=7
Add 3 on both sides (-3+3 cancel each other out and 7+3 is 10)
Now your equation is 2x=10
Divide 2 from both sides
2x/2 cancel each other and 10/2 is. Therefore, x=5
4) 3(2y-1)
3 times 2y is 6y
3 times -1 is -3 (negative times positive is negative)
Equation: 6y-3
How many solutions does this system
have?
6x+3y = 9
2x + y = 3
Answer:
The system of equation has infinite solution.
Step-by-step explanation
2x + y = 3
6x = 9 – 3y
First we re-write the second equation in standard form
So, we add 3y both sides
6x+3y=9 ---------------- (2)
2x+y = 3----------------- (1)
3(2x)+3y = 3(3)
6x+3y=9
6x-6x + 3y-3y = 9-9
0=0
LHS=RHS
This is true statement. If statement is true then infinite number of many solution.
Answer:
infinite
Step-by-step explanation:
acellus
A scientist uses a submarine to study ocean life.
• She begins at sea level, which is an elevation of o
feet.
. She travels down 20.6 feet.
. She then rises 12.5 feet.
• Next, she descends a second time, 32.4 feet.
How many feet must she now ascend to get back to
sea level?
Based on the illustration given above, the feet that she now need to ascend to get back to sea level is 40.5.
What is the sea level about?Note that the first descend was 20.6 - 12.5 =
8.1 feet
Then she drop 32.4 feet again
So to get back up she need to add:
= 32.4 feet + 8.1 feet
= 40.5
Therefore, based on the calculation given above, the feet that she now need to ascend to get back to sea level is 40.5.
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11. Evaluate: 5x +1 when x = 2 ? A. -11 C. 6 B. -6 D. 11
help me please
Answer:
11
Step-by-step explanation:
First, you replace x with 2
5×2+1
Then multiplication comes before addition so 5×2
5×2=10
Then just add the 1
10+1=11
What is the measure of the base of the rectangle if the area
of the triangle is 32 ft2 ?
Answer:
it would be a
Step-by-step explanation:
8x4=32
The base of the given triangle is calculated as: 16 ft
How to find the area of a triangle?The formula that is used to calculate the area of a triangle is expressed as:
Area of triangle= ½ × base × height
We are given that:
Area = 32 ft²
Height = 4 ft
Thus:
32 = ½ × base × 4
32 = 2 * base
base = 32/2
base = 16 ft
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Please, someone help. I will give brainliest. (I dont need an explanation just an answer please.)
Answer:
C
Step-by-step explanation:
In 3 options, the coefficient of x on both sides is the same. Hence, they will all have no solution. The only one which has exactly one solution is :
C. 6x + 8 = -6x + 201. it has at least 10 values. 2. it has at least 3 values that are different. 3. it has a mean and median of 12.
Answer: 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17
Step-by-step explanation:
First, we can ensure that 12 is the median by putting it in the middle and putting the same amount of numbers to its left and right side. To make the values have a mean of 12, the easy why to do it is to subtrate one as you move to the left and add one as you move to the right, that way they will cancel each other out and keep the mean at 12. The answer has a total of 11 values, has more than 3 values that are different, and has a mean and median of 12.
7+8+9+10+11+12+13+14+15+16+17=132
132/11=12
There are 5 values to each side of 12, making 12 the median.
Ryan ran 0.5 miles on july 1st. each day
thereafter, he ran 0.3 miles more than the
previous day. find the total number of
miles ran in the month of july.
Answer:
155 miles
Step-by-step explanation:
The sum of n terms of an arithmetic series is given by the formula ...
Sn = (2·a1 +d(n -1))(n/2)
__
The number of miles Ryan ran in July is described by the arithmetic series ...
0.5 +0.8 +1.1 +... (a total of 31 terms)
The first term is a1=0.5, and the common difference is d=0.3.
The total number of miles Ryan ran in July is ...
S31 = (2(0.5) +0.3(31 -1))(31/2) = (1 +9)(31/2) = 155
Ryan ran 155 miles in July.
(rounding) 0.46. whats the nearest tenth?
Answer:
0.5
Step-by-step explanation:
4 is in the tenths place and 6 is in the hundredths place
Since the digit in the hundredths place (6) is greater than or equal to 5, add 1 to the digit in the tenths place (4)
1 + 4 = 5, so the digit in the tenths place becomes 5
The digit in the hundredths place is dropped
0.46 rounded to the nearest tenth (one decimal place) = 0.5
QUICK PLSSS im bout to be grounded
Answer:
35
Step-by-step explanation:
PLease Help me for a brainlist its a math problem please see image attached thanks
Answer:
b
Step-by-step explanation:
the answer is b if values are plugged in to function
Answer:
y = -(x - 2)² - 4
Step-by-step explanation:
The vertex of this function is (2, -4), which is given in the tableThe vertex form an equation is given as :
y = a(x - h)² + kSubstitute the vertexy = a(x - 2)² - 4Substitute any point in the table to find a :
-8 = a(0 - 2)² - 44a = -4a = -1Hence, the final equation :
y = -(x - 2)² - 4Option 2a right triangle has a height of 27 inches and a base of 30 inches what is the area of the triangle
Answer:
The answer is 405
Step-by-step explanation:
FIrst you would do 27 times 30 which is 810 then you would divided by 2 which in turn gives you 405
Hope this helped!
find the surface area of the cube
Suppose that the mean GPA (grade point average) for a random sample of all seventh graders at your school is 3.25 and the mean GPA for a random sample of all eighth graders at your school is 2.85. Explain why this does not tell us that the mean GPA of all seventh graders at your school is different from the mean GPA of all eighth graders at your school.
Answer:
I don't know how to explain
how many pop tarts come in a pop tart?