A quadrilateral with one pair of parallel sides is a trapezoid
A quadrilateral with only one pair of parallel sides can be classified as a trapezoid, which is a distinct type of four-sided figure unlike rectangles or squares.
Explanation:The quadrilateral Lily designed, with only one pair of parallel sides, can be classified as a trapezoid. In geometry, this kind of shape is distinct from others we learn about in elementary levels, such as squares and triangles. A trapezoid is a four-sided figure, which makes it a type of quadrilateral but not all sides are parallel like in a rectangle or a square.
The defining feature of a trapezoid is that it has at least one set of parallel sides, known as the bases, while the other sides, which are not parallel, are referred to as the legs. Because it only has one pair of parallel sides, it differs from other quadrilaterals like rectangles, squares, and parallelograms, which have two pairs of parallel sides. The non-parallel sides of a trapezoid can be of different lengths and angles to each other, which can make trapezoids quite diverse in shape and size.
Which of the following statements a true of the following f(x)=(x+5)(x-3)
Oodoososososo o mi o mi o mi o my ha
how do i turn 1 and 1 fith in a decimal
Answer:
The answer is 1.2
Step-by-step explanation:
1/5 it basicly stands for 1 ÷ 5
1 ÷ 5 = 0.2
plus the one you already have
1 + 0.2 = 1.2
1.2
Hope this helped!
~Lunar Rose. Moon
Answer:
1.2
Step-by-step explanation:
Take 1/5, or make it larger into 2/10 and divide those.
2/10 is obviously .2, while 1/5 is also .2.
now take the .2+ the 1 we had and you get 1.2
If the perimeter of this quadrilateral (2ft 13ft 15in this is the quadrilateral) is 79 inches, what is the measure of the missing side length in inches?
77 in
52 in.
28 in.
27 in.
Answer:
The missing side length is 27 in
Step-by-step explanation:
see the attached figure
we know that
1 ft= 12 in
step 1
Convert ft to in
2 ft=2*12=24 in
Note ----> the given measure is 13 in instead of 13 ft
step 2
Find the missing side length
The perimeter of a quadrilateral is the sum of its four side lengths
Let
x------> the missing side length
P=x+24+13+15
P=79 in
so
79=x+24+13+15
x=79-52=27 in
The missing side length is 27 in
Answer:
27 in
Step-by-step explanation:
A right triangle △ABC with right angle C is inscribed in a circle. Find the radius of this circle if: Given m∠C = 90°, k(O, r) inscribed in △ABC, AC = 18 cm, m∠B = 30°. Find r.
Answer:
18 cm
Step-by-step explanation:
find the hypotenuse using 30, 60, 90 rule then divide it by 2 to find the radius
P.S. posting all of the RSM questions aren't you
Answer:
The radius is 18 cm
Step-by-step explanation:
Given that a right triangle △ABC with right angle C is inscribed in a circle.
Also, AC = 18 cm, m∠B = 30°
we have to find the radius of this circle.
In ΔABC
[tex]\sinB=\frac{AC}{AB}=\frac{18}{AB}[/tex]
[tex]AB=\frac{18}{\sin 30}=\frac{18}{\frac{1}{2}}=36cm[/tex]
As given right angle i.e angle C is of 90° which is angle formed in the semicircle. Hence, the hypotenuse side must be the diameter of circle.
Diameter=36 cm
[tex]Radius=\frac{1}{2}\times diameter=\frac{1}{2}\times 36=18 cm[/tex]
Write the equation of the circle shown here.
Answer:
(x − 7)² + (y + 2)² = 52
Step-by-step explanation:
The equation of a circle is:
(x − h)² + (y − k)² = r²
where (h, k) is the center and r is the radius.
We know that (h, k) = (7, -2). But we need to find the radius. To do that, find the distance from the center to a point on the edge:
r² = (x₁ − x₂)² + (y₁ − y₂)²
r² = (7 − 1)² + (-2 − -6)²
r² = 6² + 4²
r² = 36 + 16
r² = 52
So the equation of the circle is:
(x − 7)² + (y + 2)² = 52
The equation of the circle is (x-2)^2 + (y-(-3))^2 = 5^2.
Explanation:To write the equation of a circle, we need to know the center and the radius of the circle. We can see from the diagram that the center of the circle is the point (2, -3), and the radius is 5 units.
The equation of a circle is given by the formula (x-h)^2 + (y-k)^2 = r^2,
where (h, k) is the center and r is the radius. Therefore, the equation of the circle is (x-2)^2 + (y-(-3))^2 = 5^2.
Learn more about Equation of a Circle here:https://brainly.com/question/35546720
#SPJ3
What percentage of boys can cycle give your answer rounded to 1 DP??????
Answer:
try and plug in number like 15 like and then find the answer that makes the 125
Step-by-step explanation:
Answer:
28/66 or 0.42 or 42%
Step-by-step explanation:
first find a
66-38=a
a=28
spining an odd number, not fliping heads, then not spining at 6
Answer:
1/8
Step-by-step explanation:
trust me
Find the area of the circle r=6ft
[tex]\text{Hey there!}[/tex]
[tex]\text{Find the area of the circle}[/tex]
[tex]\text{r = 6ft}[/tex]
[tex]\text{Use the pi formula to find it\ } (\bf{\pi})[/tex]
[tex]\text{Pi equals 3.14}[/tex]
[tex]\text{A =\ }\pi r^2 \approx \text{3.14}\times (6)^2[/tex]
[tex]\text{6}^2 =6\times6=36[/tex][tex]\text{3.14}\times\text{36 = 113.04}[/tex]
[tex]\approx\text{Which is rounded to 113}[/tex]
[tex]\boxed{\boxed{\text{Answer: A. 113.04 ft}^2}}\checkmark[/tex]
[tex]\text{Good luck on your assignment and enjoy your day!}[/tex]
~[tex]\frak{LoveYourselfFirst:)}[/tex]
In which step did his first error occur?
Anani used 10 as an anchor to find the difference of 16 and
7. His steps are shown.
Step 1: The phrase "difference of" means subtraction.
Step 2: 16-6 = 10
Step 3: Since 7 is 1 more than 6, 1 more needs to be added
to 10.
Step 4: Therefore, 16 - 7 = 11.
OOOO
Step 1
Step 2
Step 3
Step 4
Answer:
Step 3
Step-by-step explanation:
16-7=9 he just miscalculated this equation
Answer:
Option 3.
Step-by-step explanation:
It is given that Anani used 10 as an anchor to find the difference of 16 and 7.
The correct steps are
Step 1: The phrase "difference of" means subtraction.
Step 2: 16-6 = 10
Step 3: Since 7 is 1 more than 6, 1 more needs to be subtracted
to 10.
16-6-1 = 10-1
Step 4: Therefore, 16 - 7 = 9.
Anani did his first error in step 3.
Therefore, the correct option is 3.
3x+1+5x=7+15+7x what is x?
Answer:
x = 21Step-by-step explanation:
3x + 1 + 5x = 7 + 15 + 7x combine like terms
(3x + 5x) + 1 = (7 + 15) + 7x
8x + 1 = 22 + 7x subtract 1 from both sides
8x = 21 + 7x subtract 7x from both sides
x = 21
Answer:
X= 21
Step-by-step explanation:
First you want to add alike terms which will get you 8x+1=22+7x. Next you want to get your x on one side so I subtracted 7x which you get x+1=22. Last you want to get rid of your 1 to get x alone so you subtract 1 from both sides and you get x=21.
What are the slope and the y-intercept of a linear function that is represented by the table
Answer:
i think its the first one but i'm not sure
Step-by-step explanation:
Answer: The slope is [tex]\frac{-2}{5}[/tex] and the y-intercept is [tex]\frac{-1}{3}[/tex]
Step-by-step explanation:
We know that the intercept form of a linear function is given by :-
[tex]y=mx+c[/tex], where m is the slope of the line and c is the y intercept point.
The slope of a function is given by :-
[tex]m=\dfrac{\text{change in y}}{\text{change in x}}\\\\\\\Rightarrow\ m=\dfrac{\frac{-2}{15}-\frac{-1}{30}}{\frac{-1}{2}-\frac{-3}{4}}\\\\\\\Rightarrow\ m=\dfrac{\frac{-3}{30}}{\frac{1}{4}}=\dfrac{-2}{5}[/tex]
Put the value of m in the general intercept equation , we get
[tex]y=\frac{-2}{5}x+c[/tex]
Put [tex]x=\frac{-1}{2}[/tex] and [tex]y=\frac{-2}{15}[/tex] in it , we get
[tex]\frac{-2}{15}=\frac{-2}{5}\times \frac{-1}{2}+c\\\\\Rightarrow\ c=\frac{-2}{15}\times\frac{5}{1}=\frac{-1}{3}[/tex]
Hence, The slope is [tex]\frac{-2}{5}[/tex] and the y-intercept is [tex]\frac{-1}{3}[/tex]
Which expression is equivalent to the algebraic expression below?
3(–2x – 1)
a x – 1
b –6x – 3
c x + 2
d –6x – 1
Answer:
b) -6x - 3
Step-by-step explanation:
3(-2x-1)=3*(-2x)+3*(-1)= -6x - 3
B. -6x - 3
Distribute the 3, or multiply it by everything in the parentheses.
You multiply 3 times -2x to get -6x, and you multiply 3 times -1 to get -3.
Put these together to get -6x-3.
In a bus there is, A pregnant lady 24 years old A security guard 37 years old A random woman 56 years old Driver 68 years old Who is the youngest?
Answer:
The baby
Step-by-step explanation:
If you count the baby inside the pregnant woman, then he is the youngest.
hahha funny the baby of course
7 people share 3 cookies what part of a cookie does each person get
If 7 people share 3 cookies, a part of a cookie that each person gets is 3/7 cookies.
In Mathematics and Euclidean Geometry, a unit rate refers to the quantity of material that is equivalent to a single unit of product or quantity.
In this context, the unit rate can be calculated by using the following formula;
Unit rate = Total cookies/Total number of people
Unit rate = 3/7 cookies.
In this context, we can reasonably infer and logically deduce that the unit rate indicates 3/7 cookies per person.
Complete Question:
7 people share 3 cookies, what part of a cookie does each person get?
factor completely x^3 + 1/8
Answer:
((2 x + 1) (4 x^2 - 2 x + 1))/8
Step-by-step explanation:
Factor the following:
x^3 + 1/8
Put each term in x^3 + 1/8 over the common denominator 8: x^3 + 1/8 = (8 x^3)/8 + 1/8:
(8 x^3)/8 + 1/8
(8 x^3)/8 + 1/8 = (8 x^3 + 1)/8:
(8 x^3 + 1)/8
8 x^3 + 1 = (2 x)^3 + 1^3:
((2 x)^3 + 1^3)/8
Factor the sum of two cubes. (2 x)^3 + 1^3 = (2 x + 1) ((2 x)^2 - 2 x + 1^2):
((2 x + 1) ((2 x)^2 - 2 x + 1^2))/8
1^2 = 1:
((2 x + 1) ((2 x)^2 - 2 x + 1))/8
Multiply each exponent in 2 x by 2:
((2 x + 1) (2^2 x^2 - 2 x + 1))/8
2^2 = 4:
Answer: ((2 x + 1) (4 x^2 - 2 x + 1))/8
[tex]x^3+\dfrac{1}{8}=\\ \\ =x^3+2^{-3} = \\ \\ =x^3+(2^{-1})^3 =\\ \\ = (x+2^{-1})(x^2-2^{-1}x+2^{-2}) = \\ \\ = \Big(x+\dfrac{1}{2}\Big)\Big(x^2-\dfrac{x}{2}+\dfrac{1}{4}\Big)\\ \\ \\ \boxed{a^3+b^3 = (a+b)(a^2-ab+b^2)}[/tex]
a building casts a shadow that is 348 meters long at the same time a person who is 2 meters tall casts a shadow that is 6 meters long how tall is the building A.) 1044m B.) 116m C.) 64 m D) 100n
Answer:
Option B. [tex]116\ m[/tex]
Step-by-step explanation:
Let
x------> the height of the building
we know that
using proportion
[tex]\frac{2}{6}=\frac{x}{348} \\ \\x=348*2/6\\ \\x=116\ m[/tex]
Louise completed the work shown below.
(5x3 + 3)2 = (5x3)2 + (3)2 = 25x6 + 9
Determine if Louise’s answer is correct. Explain.
Sample Response: Louise’s answer is not correct. She is missing the term 30x3. When squaring a binomial, it is best to write the product of the binomial times itself. Then you can use the distributive property to multiply each term in the first binomial by each term in the second binomial. Louise also could have used the formula for a perfect square trinomial, which is found by squaring a binomial.
Answer:
Louise is missing the term [tex]30x^3[/tex]
Step-by-step explanation:
Remember that the formula for squaring a binomial is:
[tex](a+b)^2=a^2+2ab+b^2[/tex]
Where
[tex]a[/tex] is the first term of the binomial
[tex]b[/tex] is the second term of the binomial
Our binomial is [tex](5x^3+3)^2[/tex], so [tex]a=5x^3[/tex] and [tex]b=3[/tex].
Replacing values
[tex](5x^3+3)^2=(5x^3)^2+2(5x^3)(3)+3^2[/tex]
[tex](5x^3+3)^2=5^2x^6+6(5x^3)+9[/tex]
[tex](5x^3+3)^2=25x^6+30x^3+9[/tex]
Since Louise’s answer is [tex](5x^3+3)^2=25x^6+9[/tex], we can conclude that she is missing the term [tex]30x^3[/tex]
Answer:
Louise’s answer is not correct. She is missing the term 30x3. When squaring a binomial, it is best to write the product of the binomial times itself. Then you can use the distributive property to multiply each term in the first binomial by each term in the second binomial. Louise also could have used the formula for a perfect square trinomial, which is found by squaring a binomial.
Step-by-step explanation:
Witch expression is equivalent to (cd)5?
Answer:
Step-by-step explanation:
the expression is equivalent to (cd)5 : c^5×d^5
Please help and thank you
Answer:
D. The equation represents an arithmetic sequence because the successive y-values have a common difference of 6.Step-by-step explanation:
y = 6x - 1
f(n) = 6n - 1
f(n + 1) = 6(n + 1) - 1 = 6n + 6 - 1 = 6n + 5
f(n + 1) - f(n) = (6n + 5) - (6n - 1) = 6n + 5 - 6n + 1 = 6 = constant
For the following question, find the surface area of the regular pyramid shown to the nearest whole number
Answer:
72 ft
Step-by-step explanation:
4 x 4 = 16 ft
4 x 7 = 28
28/2 = 14
14 x 4 = 56 ft
56 + 16 = 72 ft
What’s this answer ?
Answer:
the radius is 13
the diameter is 40.82 inches squared
the area is 530.66
Step-by-step explanation:
well, the radius is 13
2y-9x= 14 what’s y??
Answer:
the answer is y= 9/2 x+7
Did you mean the interception or solve for? Anyway I'll do both.
Solve for y:
[tex]
2y-9x=14\Longrightarrow 2y=14+9x \\
2y=14+9x\Longrightarrow y=\frac{14+9x}{2} \\ \boxed{y=7+\frac{9x}{2}, x\in\mathbb{R}}
[/tex]
Intercept: [tex]2y-9x=14\Longrightarrow2y=14\Longrightarrow y=7[/tex]
solve for x cos90=4/x
Final answer:
The equation cos(90°) = 4/x has no solution because cos(90°) is 0, and no value of x would satisfy the equation 0 = 4/x.
Explanation:
The student's equation is cos(90°) = 4/x. Knowing that the cosine of 90 degrees (or π/2 radians) is 0, we can substitute that into the equation, which simplifies to 0 = 4/x. This indicates that there is no value of x that would satisfy this equation, as no number multiplied by 0 can result in 4. Therefore, the solution is that there is no solution for x in this equation.
triangle ABC is congruent to triangle DEF
Answer:
m<A = m<D
Step-by-step explanation:
This is the correct answer to your question.
Hope this helps!!!
Kyle.
these figures are similiar. the area of one is given. find the area of the other
Answer:
18 in²
Step-by-step explanation:
Given 2 similar figures then
linear ratio = 9 : 12 = 3 : 4
area ratio = 3² : 4² = 9 : 16
let the area of the other figure be x
[tex]\frac{9}{x}[/tex] = [tex]\frac{16}{32}[/tex] [ [tex]\frac{ratio}{corresponding area}[/tex] ]
cross- multiply
16x = 288 ( divide both sides by 16 )
x = 18
Area of other figure is 18 in²
The area of two similar figures is related by the square of the ratio of their corresponding sides. Once you know the ratio of their sides, you can find the area of the second figure by squaring this ratio and multiplying it by the area of the first figure.
Explanation:To figure out the area of the second figure, first you need to understand the concept of similarity. Two figures are similar if their corresponding sides are proportional. When two figures are similar, the ratio of their areas is the square of the ratio of their corresponding sides. If we let's say the ratio of their corresponding sides are in the ratio 1:R, then the ratio of their areas would be 1:R^2.
Suppose the area of the first figure is A and you're looking for the area of the second figure (let's call it A'). If the sides are in ratio 1:R, then A/A' = (1/R)^2. Or conversely, A' = A * R^2.
Once you find R (the ratio of their corresponding sides), you can find the area of the second figure by multiplying the area of the first figure by R^2.
Learn more about Area of Similar Figures here:https://brainly.com/question/15324780
#SPJ2
A house worth $70,000 when purchased was worth $67,000 after the first year and $64,000 after the second year. If the economy does not improve and this trend continues, what will be the value of the house after 7 years? a) Write an explicit formula for the sequence. Explain where you found the numbers you are putting in the formula. b) Identify the value of n and explain where you found it. Use the explicit formula to solve the problem.
Answer:
a) The formula for the sequence is
[tex]a_n = 67,000 -3,000(n-1)[/tex]
b) [tex]a_7 = 49,000[/tex]
Step-by-step explanation:
Note that the difference between any two consecutive terms in the sequence is always equal to $3,000
[tex]67,000-70,000= -3,000\\\\64,000-67,000=-3,000[/tex]
Then we have an arithmetic sequence where each term increases by a magnitude of 3,000 with respect to the previous term.
The explicit formula for an arithmetic sequence is:
[tex]a_n = a_1 +d(n-1)[/tex]
Where d is the common difference between the consecutive terms of the sequence
[tex]d = -3,000[/tex]
[tex]a_1[/tex] is the first term, or the value of the house after year 1 [tex]a_1= 67,000[/tex]
n represents the number of years since the house was purchased
With
n={0, 1, 2, 3, 4, 5, 6, 7,.., n}
a) Then the formula for the sequence is
[tex]a_n = 67,000 -3,000(n-1)[/tex]
With
n={0, 1, 2, 3, 4, 5, 6, 7,.., n}
---------------------------------------------------------------------------------------------
b) Now we can use the formula to find the price of the house after 7 years
[tex]a_7 = 67,000 -3,000(7-1)[/tex]
[tex]a_7 = 67,000 -3,000(6)[/tex]
[tex]a_7 = 49,000[/tex]
50 POINTS! HELP! A restaurant manager is planning a new layout for the tables in his store. He will be placing tables of 2, tables of 4, and tables of 6 throughout the dining room. To help him decide how many of each he needs, he decides to keep track of all table requests by customers during a 2-week period. Which measure of central tendency would BEST indicate the typical table size needed?
A) mean
B) median
C) mode
D) range
Answer:
The best possible answer for this would be: D. Mode.
This is because mode measures how many times each number appears.
Answer:
mine said c is the correct answer
Step-by-step explanation:
rational numbers to -17/10
Answer:
-17/10 is 1.7 is a rational number
Step-by-step explanation:
In mathematics, a rational number is any number that can be expressed as the quotient or fraction p/q of two integers, a numerator p and a non-zero denominator q. Since q may be equal to 1, every integer is a rational number. ... Moreover, any repeating or terminating decimal represents a rational number.
Rational numbers are numbers that can be expressed as a fraction with an integer numerator and denominator, where the denominator isn't zero. -17/10 is a rational number because it fits this definition, as -17 is the integer numerator and 10 is the integer denominator.
Explanation:The number -17/10 refers to a specific type of number known as a rational number. Rational numbers are numbers that can be written as a fraction where both numerator and denominator are integers and the denominator is not zero. Therefore, -17/10 is indeed a rational number because it can be expressed as a fraction as the definition suggests. The numerator is -17 and the denominator is 10, both of which are integers and the denominator is not zero. Thus, when dealing with content-loaded rational numbers like -17/10, you can be confident that you are indeed working with a rational number.
Learn more about Rational Numbers here:https://brainly.com/question/36880638
#SPJ11
How many solutions does the following equation have?
Answer:
Answer choice D, Infinitely many solutions.
Step-by-step explanation:
6x-24=6x-24
Order of operations
4^2×2^3-(14-16)÷2
Answer:
129Step-by-step explanation:
Use PEMDAS:
P Parentheses first
E Exponents
MD Multiplication and Division (left-to-right)
AS Addition and Subtraction (left-to-right)
[tex]4^2\times2^3-(14-16)\div2\\\\=16\times8-(-2)\div2\\\\=128+2\div2\\\\=128+1\\\\=129[/tex]