Answer:
DE=19
Step-by-step explanation:
Mean Base Theorem
\(DE= x=\dfrac{38}{2} =19\)
A rectangle is ____ a rhombus.
A. Always
B. Sometimes
C. Never
Answer:
for a rectangle to be rhombus its sides must be equal. when its satisfied we have square. so a rectangle can be a rhombus only if it has extra properties which would make it a square.
A rectangle is sometimes a rhombus. The correct option is B. Sometimes.
What is a rectangle?A rectangle is a quadrilateral with four right angles, meaning its interior angles measure 90 degrees each. In contrast, a rhombus is a quadrilateral with four sides of equal length, but its angles are not necessarily right angles.
The rectangle is a special type of parallelogram where all angles are right angles. Its properties include having two pairs of parallel sides and diagonals that are equal in length and bisect each other. Rectangles are commonly encountered in everyday life, from the shape of windows and doors to the screens of electronic devices.
Since a rectangle can have equal side lengths, it can also be a rhombus, but only when all four angles measure 90 degrees. Therefore, while a rectangle can be a rhombus under specific conditions, it is not always the case, leading to the answer of "Sometimes."
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Help pls no links I'll give briliantest to who ever gives me the right answer
Answer:
A. 57 7/9
Step-by-step explanation:
4 1/3 x 3 1/3 = 14 4/9
14 4/9 x 4 = 57 7/9
Which of these groups of relative frequencies will be best buy a pie chart
Answer: You are correct! Whatever adds up to 100% is the answer! :)
Floyd builds rectangles using matches, as shown below. When the length of the rectangle is 3 matches, he used 8 matches. When the length of the rectangle is 7 matches, he used 16 matches. How many matches does Floyd need to make a rectangle with length 20 matches? [Type in only o numeric digit as your answer with no spaces Answer: Search Q
Floyd needs 33 matches to make a rectangle with a length of 20 matches.
To find out how many matches Floyd needs to make a rectangle with a length of 20 matches, we can observe a pattern in the given information.
From the given data, we can see that as the length of the rectangle increases by 4 matches, the number of matches used increases by 8. This means that for every additional 4 matches in length, Floyd requires 8 more matches.
Using this pattern, we can calculate the number of matches needed for a rectangle with a length of 20 matches.
First, we need to determine the number of 4-match increments in the length of 20 matches. We can do this by subtracting the starting length of 3 matches from the target length of 20 matches, which gives us 20 - 3 = 17.
Next, we divide the number of 4-match increments by 4 to determine how many times Floyd needs to add 4 matches. In this case, 17 ÷ 4 = 4 with a remainder of 1.
Since Floyd requires 8 matches for each 4-match increment, we multiply the number of increments by 8, which gives us 4 × 8 = 32 matches.
Finally, we add the remaining matches (1 match in this case) to the total, resulting in 32 + 1 = 33 matches needed to reach a length of 20 matches.
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9 less than one-fifth of c
Answer: The equation in math form is \(\frac{1}{5}c\) - 9.
Step-by-step explanation:
So the givens are:
9 less than one-fifth of c
Let's put this equation in math form:
\(\frac{1}{5}c\) - 9
Hence your answer!
What is the value of J, given that YZ I VX
9.1
9.2
9.3
9.4
9.6
Answer:
9.6
Step-by-step explanation:
As YZ is parallel to VX, then ΔWYZ ≅ ΔWVX
⇒ WX : WV = WZ : ZX
⇒ 5.6 : (5.6 + 8.4) : 6.4 : (6.4 + J)
\(\implies \dfrac{5.6}{5.6+8.4}=\dfrac{6.4}{6.4+J}x^{2}\)
\(\implies 5.6(6.4 + J)=6.4 (5.6+8.4)\)
\(\implies 35.84+5.6J=89.6\)
\(\implies 5.6J=53.76\)
\(\implies J=9.6\)
Merge onto Highway 40 and drive 3/5
mile. Stop and pay the toll. Then
continue on Highway 40 for twice this.
distance. How much longer will you be
on Highway 40 after you pay the foll?
Distance traveled after toll payment is 1.2 miles on highway 40.
What is Distance ?The distance may be calculated using a curved route. Displacement measurements can only be made along straight lines. Distance is path-dependent, meaning it varies depending on the direction followed. Displacement simply depends on the body's beginning and ending positions; it is independent of the route.
Distance is the sum of an object's movements, regardless of direction. Distance may be defined as the amount of space an item has covered, regardless of its beginning or finishing position.
The size or extent of the displacement between two points is referred to as distance. Keep in mind that the distance between two points and the distance traveled between them are not the same. The entire length of the journey taken between two points is known as the distance traveled. Travel distance is not a vector.
Distance traveled before toll payment =3/5 miles on highway 40
Distance traveled after toll payment =2*3/5 = 6/5 =
1.2 miles on highway 40.
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the team to win 3 games wins the playoffs. what is the probability of a team winning a 5 game playoff if it has 50% chance of winning each game
Therefore , the solution of the given problem of probability comes out to be probability of winning a 3 game out of 5 is 0.5 .
What specifically does the probability method entail?Calculating the likelihood that a statement is true or that an event will take place is the focus of probability theory, a branch of mathematics. Any quantity between 0 and 1, whereby 1 frequently represents certainty range 1 and 0 normally denotes possibility, can be used to represent chance. A probability diagram illustrates the likelihood that a particular event will take place.
Here,
Given :
Since,
the probability to win a game is 50% .
So they have to win 3 games ,
and so , the probability to win the game is:
=> 1/2 * 1
=> 0.5
thus,
probability of winning a 3 game out of 5 :
=> 0.5
Therefore , the solution of the given problem of probability comes out to be probability of winning a 3 game out of 5 is 0.5 .
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Angle ADB and CD are straight lines. angle ADC = 5 x angle CDB Work out the size of angle ADC.
Answer:
Step-by-step explanation:
Find the measure of each angle 9-17. PLZZZ HELP will give brainliest!!!! Pleaseee help!!!!!
Answer:
Step-by-step explanation:
l║m and line t is the transversal line intersecting these parallel lines.
9). If m∠7 = 100°,
m∠3 = m∠7 = 100° [Since, ∠3 and ∠7 are alternate interior angles]
10). m∠7 = 95°
m∠6 + m∠7 = 180° [Consecutive interior angles]
m∠6 = 180° - m∠7
m∠6 = 180° - 95°
m∠6 = 85°
11. m∠1 = 120°
m∠1 = m∠5 = 120° [Alternate exterior angles]
12. m∠4 = 20°
Since, m∠4 = m∠6 = 20° [Vertically opposite angles]
And m∠6 + m∠7 = 180° [Consecutive interior angles]
20° + m∠7 = 180°
m∠7 = 160°
13. m∠3 = 140°
m∠3 + m∠6 = 180° [Linear pair of angles]
m∠6 = 180° - m∠3
= 180° - 140°
= 40°
m∠6 = m∠8 = 40° [Corresponding angles]
14. m∠4 = 30°
m∠4 + m∠1 = 180° [Consecutive exterior angles]
m∠1 = 180° - 30°
m∠1 = 150°
15. m∠4 = 40°
m∠4 = m∠2 = 40° [Corresponding angles]
16. m∠7 = 125°
m∠6 + m∠7 = 180° [Consecutive interior angles]
m∠6 = 180° - 125°
= 55°
m∠6 = m∠4 = 55° [Vertically opposite angles]
17. m∠1 + m∠3 = 230°
Since, m∠1 = m∠3 [Corresponding angles]
m∠3 + m∠3 = 230°
m∠3 = \(\frac{230}{2}\)
= 115°
m∠3 + m∠6 = 180° [Linear pair of angles]
m∠6 = 180° - 115°
m∠6 = 65°
Can someone help? From a group of 5 and 3 girls,A boy and A girl will be selected to attend a conference. In how many ways can the selection be made? Two people have have me the wrong answer
Total number of ways to choose 1 girl and 1 boy from a group of 5 and 3 girls is, 15
We have to given that;
From a group of 5 and 3 girls , A boy and A girl will be selected to attend a conference.
Now, We know that;
Number of ways to choose 1 boy in group of 5 boys,
⇒ ⁵C₁
And, Number of ways to choose 1 girl from group of 3 girls,
⇒ ³C₁
Hence, Total number of ways to choose 1 girl and 1 boy from a group of 5 and 3 girls is,
⇒ ⁵C₁ x ³C₁
⇒ 5! /1! 4! × 3! / 1! 2!
⇒ 5 × 3
⇒ 15
Thus, Total number of ways to choose 1 girl and 1 boy from a group of 5 and 3 girls is, 15
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Hunter measured the middle school and made a scale drawing. The scale he used was 1 inch : 10 feet. The gym is 7 inches wide in the drawing. How wide is the actual gym?
Answer:
70 ft
Step-by-step explanation:
You want the actual width of a gym that is represented as 7 inches on a drawing with a scale of 1 in : 10 ft.
Scale factorEach inch represents 10 feet, so 7 inches will represent ...
7 × 10 ft = 70 ft
The gym is 70 ft wide.
__
Additional comment
You can also write and solve an equation that shows the measures are proportional:
actual width / drawing width = (10 ft) / (1 in) = (gym width) / (7 in)
Multiplying both sides of this proportion by 7 in, we have ...
gym width = (7 in) × (10 ft)/(1 in) = 7 × 10 ft = 70 ft
Write an equation in the form y=mx + b of the line that is described The y-intercept is 2 and the line is perpendicular to the line whose equation is y = 6x – 3. The equation of the line is y = (Simplify your answer. Use integers or fractions for any numbers in the expression.)
Answer:
y = -1/6x + 2
Step-by-step explanation:
To find the slope of a perpendicular line, you take the opposite reciprocal
6x -> -1/6x
y = -1/6x + 2
from the given graph: state it's
a) amplitude
b) period
c) function of the graph:
Step-by-step explanation:
The amplitude is 2. Amplitude means height from the x-axis to the crest/trough.
The period is 2pi. It is from crest to crest (next crest) or trough to trough (next trough).
Note that crest are the highest points of a wave, and that troughs are the lowest points of a wave. (we are talking about transverse waves, but this is more of a physics thing).
Function of graph:
By playing around in a graphing calculator, I got the equation to be
2 (cos (x + pi/2)).
the 2 changes the amplitude, and the + pi/2 shifts the graph by pi/2 to the left.
brainiest and 50 points. Diana usually drives at an average rate of 30 mph. Today, she is going to drive 12 miles to her friend Tony's house. How many minutes will it take her to get there?
Answer:
24 minutes
Step-by-step explanation:
Distance = speed x time
12 mi = 30 mi/h x time
time = 12/30 = 4/10 hours
since 1 hour has 60 minutes
4/10 hours x 60 = 24 minutes
Answer:
It will take her 24 minutes to get there.
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Schools, churches, and corporations are examples of __________ groups.a. secondaryb. actingc. primaryd. informal
Schools, churches, and corporations are examples of Secondary Groups.
What does a secondary formal group mean?
A secondary group is a comparatively larger group made up of impersonal, purpose-driven, and frequently transient interactions.
These groups typically involve significantly less emotional engagement and are built around reaching a goal that is unrelated to the relationship itself.
What do main and secondary social institutions entail?
Small and distinguished by long-lasting, close-knit ties, primary groups are common. Non-personal, ad hoc, and goal-driven interactions are examples of secondary groupings.
An exchange of implicit goods, such as love, care, concern, support, etc., is what constitutes a primary group. Family units, romantic partnerships, crisis support networks, and religious organizations are a few examples of these.
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Two people meet in the purple room on the fourth floor of a building. On departure, one person travels West 20 feet, South 12 feet, and Down 12 feet. The other person travels North 20 feet, East 10 feet, and Up 12 feet. How far apart are the two people? Round to the nearest tenth.
Answer:
50 feet
Step-by-step explanation:
Set up a 3-dimensional coordinate system (see the attached image).
This setup shows an axis that runs North-South (South is negative, North is positive), an axis that runs East-West (East is positive, West is negative), and an axis that runs Up-Down (Up is positive, Down is negative).
The two points in question are then:
First person's location (12, -20, -12), and the second person's location is (-20, 10, 12).
The distance between two points \(\left( x_1,\,y_1,\,z_1\right)\) and \(\left( x_2,\,y_2,\,z_2\right)\) is
\(d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2+(z_2-z_1)^2\)
\(d=\sqrt{(-20-12)^2+(10-(-20))^2+(12-(-12))^2}\\\\d=\sqrt{(-32)^2+30^2+24^2}\\\\d=\sqrt{2500}\\\\d=50\)
Penny reads 13 pages in 1/2 hour. What is the unit rate for pages per hour? For hours per page
Answer:
Step-by-step explanation:
13 pages : 1/2 hour Multiply both sides by 2
26 pages : 1 hour ------>> 26 pages/hr
Flip over 26 pages/hr ----->>> hr / 26 pages = 1 hr / 26 pages
Split up the fraction: (1/26) hr / page
find the value of the trigonometric ratio. make sure to simplify the fraction if needed
Answer:
3/5
Step-by-step explanation:
sin=opp/hyp
sinc=24/40=3/5
What is the volume of the prism?
Enter your answer, as a mixed number in simplest form, in the box.
Answer:
\(115 \dfrac{1}{2}\:cm^3\)
Step-by-step explanation:
The volume of a rectangular prism is the product of each of the sides of the prism
Given the sides have lengths
\(3\dfrac{1}{2}, 6 \;and\; 5 \dfrac{1}{2} cm\)
the volume would be
\(3\dfrac{1}{2} \times 6 \times 5 \dfrac{1}{2}\)
To perform this multiplication, convert mixed fractions to improper fractions first
Use the rule that mixed fraction
\(a\dfrac{b}{c}=\dfrac{a\times \:c+b}{c}\)
\(3\dfrac{1}{2}=\dfrac{3\times 2+1}{2} = \dfrac{7}{2}\)
\(5\dfrac{1}{2}=\dfrac{5\times 2+1}{2}= \dfrac{11}{2}\)
Therefore
\(3\dfrac{1}{2}\times \:6\times \:5\dfrac{1}{2}\\\\= \dfrac{7}{2}\times \:6\times \dfrac{11}{2}\\\\= \dfrac{7}{2}\times \dfrac{6}{1}\times \dfrac{11}{2} \quad(6 = \dfrac{6}{1})\)
\(=\dfrac{7\times \:6\times \:11}{2\times \:1\times \:2}\\\\= \dfrac{462}{4}\\\)
Divide numerator and denominator by 2 to get
\(\dfrac{231}{2}\\\)
Convert improper fraction \(\dfrac{231}{2}\) to mixed fraction using quotient/remainder
\(\dfrac{231}{2} \\\\\rightarrow Quotient: 115\\\\\rightarrow Remainder = 231 - 115 \times 2 = 231 - 230 = 1\)
\(\dfrac{231}{2} = 115 \dfrac{1}{2}\)
...................................................................
Answer:
29 degrees
Step-by-step explanation:
Note how both triangles are isosceles triangles, which mean two angles will be equivalent. In the triangle with the marked angle measurement, since the total of angles in a triangle is 180, then the measurement of the unmarked angles have a sum of 180-64, which is 116. Then, as stated before, this triangle is isosceles, so the measurement of each unmarked angle is 116/2, which is 58.
Next, notice how the angle below angle x in that triangle shares a line with one of the 58 degree angles. This means that angle is 180-58, which is 122. Now, since the total of angles in a triangle is 180 and the triangle is isosceles, then angle x is (180-122)/2, which is 58/2, or 29 degrees
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The expression representing the perimeter of the polygon is given as follows:
7mn³/3 + 4m² + 3mn².
What is the perimeter of a polygon?The perimeter of a polygon is given by the sum of all the lengths of the outer edges of the figure, that is, we must find the length of all the edges of the polygon, and then add these lengths to obtain the perimeter.
Hence the perimeter for the polygon in this problem is given as follows:
mn³(1/3 + 2) + m²(1 + 3) + mn²(1 + 2) = 7mn³/3 + 4m² + 3mn².
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Enter the mixed number as a decimal 3 and 1 over 10
A student was asked to prove the identity:
tan X + cot X = sec X csc X
PLEASE SHOW WORK
Answer:
We can start with the left side of the identity and try to manipulate it algebraically to transform it into the right side:
Left side: tan X + cot X
We know that cot X is equal to 1/tan X, so we can substitute this expression in for cot X:
Left side: tan X + 1/tan X
Next, we can use the identity that (a + 1/a) = (a^2 + 1)/a to rewrite the expression as a single fraction:
Left side: (tan^2 X + 1)/tan X
We can then use the trigonometric identity that 1 + tan^2 X = sec^2 X to substitute in for the numerator:
Left side: sec^2 X / tan X
Finally, we can use the identity that csc X = 1/sin X to substitute in for tan X:
Left side: sec^2 X / (sin X / cos X)
We can simplify this expression by multiplying the numerator and denominator by cos X:
Left side: (sec^2 X * cos X) / sin X
We know that sec X is equal to 1/cos X, so we can substitute this expression in for sec X:
Left side: (cos X / cos X * sin X) = cos X * csc X
Therefore, we have shown that the left side (tan X + cot X) is equal to the right side (sec X csc X), and the identity is proven:
tan X + cot X = sec X csc X
need help converting point slope form equation to slope intercept form(y+10)=1/3(x+9)
The slope-intercept form is
→ y = m x + b
→ m is the slope
→ b is the y-intercept
∵ The given equation is
\(y+10=\frac{1}{3}(x+9)\)First, multiply the bracket (x + 9) by 1/3
\(\begin{gathered} \because y+10=\frac{1}{3}(x)+\frac{1}{3}(9) \\ \therefore y+10=\frac{1}{3}x+3 \end{gathered}\)Subtract 10 from both sides
\(\begin{gathered} \because y+10-10=\frac{1}{3}x+3-10 \\ \therefore y+0=\frac{1}{3}x-7 \\ \therefore y=\frac{1}{3}x-7 \end{gathered}\)The equation in the slope-intercept form is y = 1/3 x - 7
Identify the Shapes
What shapes can you obtain by taking a cross
section of a cone?
a circle
an ellipse
a parabola
a hyperbola
Select the values that make the inequality -q> -7 true. Then write an equivalent inequality, in terms of q. (Numbers written in order from least to greatest going across.)
The inequality relation -q > -7 can be represented in the form of q as q < 7
The numbers in set A = { -8 , -7.1 , -7 , -6.9 , -6 , -2 , 0 , 2 , 6 , 6.9 }
What is an Inequality Equation?
Inequalities are the mathematical expressions in which both sides are not equal. In inequality, unlike in equations, we compare two values. The equal sign in between is replaced by less than (or less than or equal to), greater than (or greater than or equal to), or not equal to sign.
In an inequality, the two expressions are not necessarily equal which is indicated by the symbols: >, <, ≤ or ≥.
Given data ,
Let the inequality equation be A
The value of A is - q > - 7
Now , multiplying by (-1) on both sides of the equation , we get
( -1 ) ( -q ) > ( -1 ) ( - 7 )
The inequality relation will change the sign from > to < and ,
q < 7
So , the value of the inequality relation A is q < 7
Now , all the values in the number line which satisfy the inequality equation q < 7 are given in set A
The numbers in set A = { -8 , -7.1 , -7 , -6.9 , -6 , -2 , 0 , 2 , 6 , 6.9 }
Hence , The inequality relation -q > -7 can be represented in the form of q as q < 7 and numbers in set A = { -8 , -7.1 , -7 , -6.9 , -6 , -2 , 0 , 2 , 6 , 6.9 }
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The points (7, 3) and (7, 5) are both in the solution region of the inequality x – 2y < 3. Compute x – 2y for both of these points.Which point comes closest to satisfying the equation x – 2y = 3? That is, for which (x, y) pair is x – 2y closest to 3?
Part a.
In this case, we need to substitute the given point values into the expression x-2y. Then for point (7,3), we have
\(\begin{gathered} 7-2(3) \\ \text{which gives} \\ 7-6=1 \end{gathered}\)Now, for point (7,5) we have
\(\begin{gathered} 7-2(5) \\ \text{which gives} \\ 7-10=-3 \end{gathered}\)Part b.
As we can note, in the first case we got 1 which is 2 units from 3. In the second case, we got -3, which is 6 units from 3. Therefore, point (7,3) gives the closest value to 3
What is the present value of R13 000 p.a. invested at the beginning of each year for 8years at 10%p.a. compound interest? (NB Use the compound interest tables provided or work to three decimal places only.)
Given statement solution is :- The present value of R13,000 per year invested for 8 years at 10% compound interest is approximately R69,776.60.
To calculate the present value of an investment with compound interest, we can use the formula for the present value of an annuity:
PV = A *\((1 - (1 + r)^(-n)) / r\)
Where:
PV = Present value
A = Annual payment or cash flow
r = Interest rate per period
n = Number of periods
In this case, the annual payment (A) is R13,000, the interest rate (r) is 10% per year, and the investment is made for 8 years (n).
Using the formula and substituting the given values, we can calculate the present value:
PV = \(13000 * (1 - (1 + 0.10)^(-8)) / 0.10\)
Calculating this expression:
PV = \(13000 * (1 - 1.10^(-8)) / 0.10\)
= 13000 * (1 - 0.46318) / 0.10
= 13000 * 0.53682 / 0.10
= 6977.66 / 0.10
= 69776.6
Therefore, the present value of R13,000 per year invested for 8 years at 10% compound interest is approximately R69,776.60.
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below is a table showing the investment and the investment period of
Answer:
hey. pls complete your question.