Answer: q -> p
Step-by-step explanation: You've got it right! To find the converse, you switch the first and second halves of the statement and keep it positive.
Answer:
q→p
Step-by-step explanation:
The converse is a type of mathematical statement that changes the conditional statement. If the conditional statement is p→q then the converse is q→p. This is because the converse of a statement reverses any type of statement. For example, if the conditional statement is: if an angle has 90 degrees, then it is a right angle. Then, the converse would be: if an angle is a right angle, then it has 90 degrees.
Find the area of the figure.
we observe that this figure could be divided into a triangle and a rectangle.
for the area of the triangle, bxh/2, we have 15 x 12/2 = 90
and for the rectangle, we have 5 x 12 = 60
so, 90 + 60 = 150
hope it helps :)
Show all work to solve the equation for x. If a solution is extraneous, be sure to identify it in your final answer.
square root of the quantity x plus 7 end quantity minus 1 equals x
Answer:
x=2 true solution
x=-3 extraneous
Step-by-step explanation:
sqrt(x+7) -1 = x
Add 1 to each side
sqrt(x+7) -1+1 = x+1
sqrt(x+7) = x+1
Square each side
(sqrt(x+7))^2 = (x+1)^2
x+7 = x^2 +2x+1
Subtract x from each side
7 = x^2 +x +1
Subtract 7 from each side
0 = x^2 +x - 6
Factor
0 = (x+3)(x-2)
Using the zero product property
x+3 = 0 x-2 =0
x=-3 x=2
Check solutions
x=-3
sqrt(-3+7) -1 = -3
sqrt(4) -1 = -3
3 =-3 extraneous
x=2
sqrt(2+7) -1 = 2
sqrt(9) -1 = 2
3 -1 =2
2 =2 true
Write an equation in point-slope form for the line through the given point with the given slope. (Need ASAP help)
Is it a, b, c or d?
In the adjoining fig. In a circle with centre C and chord DE ,ahe CF perpendicular to chord DE.If diameter of a circle is 20cm and DE=16cm,then CF=?GIVE REASON
DC=CF
Diameter=20cmRadius=20/2=10cmWe know
[tex]\boxed{\sf L=\dfrac{\theta}{180}\times πr}[/tex]
[tex]\\ \large\sf\longmapsto L=\dfrac{90}{180}\times \dfrac{22}{7}\times 10[/tex]
[tex]\\ \large\sf\longmapsto L=\dfrac{1}{2}\times \dfrac{220}{7}[/tex]
[tex]\\ \large\sf\longmapsto L=\dfrac{110}{7}[/tex]
[tex]\\ \large\sf\longmapsto L=15.5[/tex]
Now
[tex]\\ \large\sf\longmapsto CF=L+r-DE[/tex]
[tex]\\ \large\sf\longmapsto CF=15.7+10-16[/tex]
[tex]\\ \large\sf\longmapsto CF=25.7-16[/tex]
[tex]\\ \large\sf\longmapsto CF=9.7cm[/tex]
[tex]\large\sf\red{⟼L=18090×722×10}[/tex]
[tex]\begin{gathered}\\ \large\sf\red{ ⟼ L=\dfrac{1}{2}\times \dfrac{220}{7}}\end{gathered}[/tex]
[tex]\begin{gathered}{ \large\sf\red{⟼ L=\dfrac{110}{7}}\end{gathered}[/tex]
⟼ L=15.5
Now
⟼ CF=L+r−DE
⟼ CF=15.7+10−16
⟼ CF=25.7−16
⟼CF=9.7cmFor people who have taken PreCalc/Calc (Summer Math Packet)
Find the constant a such that the function is continuous on the entire real line:
There is no a that will make f(x) continuous.
No matter what value of a you pick, you will always have the one-sided limits,
[tex]\displaystyle \lim_{x\to a^-}f(x) = \lim_{x\to a}(x^2-a^2) = 0[/tex]
[tex]\displaystyle \lim_{x\to a^+}f(x) = \lim_{x\to a}(x^2-a^2) = 0[/tex]
but f(a) = 8 regardless of a.
round to the nearest underlined place 18 904 A. 18,000 B. 19,000 C. 20,000 D. 18,920
Answer:
B 19,000
Step-by-step explanation:
;------------------------;
PLS HELP MEEE I NEED HELP TO PASS PYTHAGOREAN THEOREM
Answer:
b=12
Step-by-step explanation:
b^2+35^2=37^2
b^2+1225=1369
b^2=144
b=12,-12
Lengths can't be negative, so b=12
Answer:
b=12
Step-by-step explanation:
The Pythagorean theorem is
a^2+b^2 = c^2 where a and b are the legs and c is the hypotenuse
35^2 + b^2 = 37^2
1225+b^2 =1369
b^2 =1369-1225
b^2 = 144
Taking the square root of each side
sqrt(b^2) = sqrt(144)
b=12
A spinner has 4 equally likely outcomes: A,B,C, and D. The spinner is spun twice. What is the probability that it lands on BB twice?
Answer:
6.25%
Step-by-step explanation:
The probability of landing on B once is 25%.
So you multiply 25% by 25%.
0.25×0.25
The answer is 0.0625.
Converting back to %, its 6.25%.
I hope this helps!
pls ❤ and mark brainliest pls!
A tax on which of these products or services would not be considered a sin
tax"?
O A. Alcohol
O B. Gambling
O C. Electronics
O D. Tobacco
Answer: electronics
Hope that helps
The option that is not considered a sin tax is option B, gambling.
What is a sin tax?
A sin tax is a tax that is applied to "harmful things" to society or individuals. An example of this is Tobacco.
From the given options, the harmful ones are alcohol, gambling, and tobacco. These 3 are considered harmful, so would be included under the sin taxes.
Then the option that is not considered a sin tax is option B, gambling.
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Evaluate the expression. Question 9 options: A) tan π∕56 B) tan 17π∕56 C) –tan 17π∕56 D) –tan π∕56
Answer:
A
Step-by-step explanation:
Note the expansion
tan(a - b) = [tex]\frac{tana-tanb}{1+tanatanb}[/tex]
We are given the right side of the expansion , then left side is
tan([tex]\frac{\pi }{7}[/tex] - [tex]\frac{\pi }{8}[/tex] )
= tan([tex]\frac{8\pi -7\pi }{56}[/tex] )
= tan ([tex]\frac{\pi }{56}[/tex] ) → A
Determine the slope of the line that has the following coordinates: (-2, 5) (4, -2)
Answer:
slope= -1 1/6
Step-by-step explanation:
x1 y1 x2 y2
-2 5 4 -2
(Y2-Y1) (-2)-(5)= -7 ΔY -7
(X2-X1) (4)-(-2)= 6 ΔX 6
slope= -1 1/6
B= 2 2/3
factorise the quadratic equation x square + 2 x + 36
Answer:
Click on the link below to view the answer with the explanation in futher detail
Explanation:
Click the attached link to view the answer
13. Find a four digit number that is divisible by 3,
5, and 8.
Answer:
3×5×8=120
Step-by-step explanation:
divisibility and prime number
PLS HELP ME ON THIS QUESTION I WILL MARK YOU AS BRAINLIEST IF YOU KNOW THE ANSWER!!
Find the interquartile range of the data set that consists of 3, 11, 4, 3, 10, 6, 4, 5.
A. 3.5
B. 5.75
C. 4.5
D. 8
Answer:
I am thinking it's c
I am not sure
Answer:
25th Percentile: 3.5
50th Percentile: 4.5
75th Percentile: 8
= Interquartile Range: 4.5
I think it shows it's '4.5'.
C
What is the smallest prime number that is also a multiple of 20?
Answer:
Hello,
Step-by-step explanation:
In order to cut off ( pour couper court)
all multiple of 20 are divisible by 20, so they are not primes.
Pls help!! find the area of the shaded region.
Answer:
134.1
Step-by-step explanation:
Area of the circle = 49π = 153.9 (rounded to the nearest tenth)
Segment area,
49/2(150π/360-sin(150))
= 19.8 (rounded to the nearest tenth)
Subtracting them,
153.9-19.8
= 134.1 cm²
Answered by GAUTHMATH
The area of the shaded region is 134.1 cm²
What is a segment of a circle?
'A segment of a circle is the region that is bounded by an arc and a chord of the circle.'
According to the given problem,
Area of the circle = πr²
= π × 7 × 7 cm²
= 153.9 (rounded to the nearest tenth)
Area of the Shaded region,
= [tex]\frac{r^{2} }{2}( \frac{angle in degrees * \pi }{360 - sin(angle in degrees)} )[/tex]
=[tex]\frac{49}{2}(\frac{150\pi }{360 - sin(150)})[/tex]
= 19.8 (rounded to the nearest tenth)
Subtracting them,
= 153.9 - 19.8
= 134.1 cm²
Hence, we can conclude that the area of the shaded region is 134.1cm²
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Tony gets married next month. One year ago from the date he will get married, Tony was away in
Spain for New Year's Eve. What month is it?
Answer:
late January or early February
Step-by-step explanation:
On using logical reasoning, we deduce that this month is November.
What is logical reasoning?Logical reasoning comprises aptitude problems that need a logical level of examination to arrive at the right answer.
One year ago from the date he will get married, Tony was away in Spain for New Year's Eve.
This implies, One year ago from the date he will get married, Tony was away in Spain in month of December.
This implies, Tony will get married in month of December.
We know, Tony gets married next month. So, this month is November.
Learn more about logical reasoning here
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She walks to her school at a distance of 800m from her house in 55 seconds. On reaching, she finds that the school is closed and comes back by car with her friend and reaches home in 25 seconds. Find her average speed in m/s
Answer:
per second she was walking 14.54m roughly and driving is 32m per second therefore the average is 23.27m/s
Step-by-step explanation:
divide both sides by 55 to get one.
divide both sides by 25 to get one
THEN
to find the average you simply add them and divide by two which is 46.54 which divided by two is roughly 23.27.
X/4- 2 =x/8+4
What value of x makes the equation in the reference image true ?
Answer:
The answer to your question is x=48
Step-by-step explanation: If you have any questions regarding my answer, tell me in the comments and I will answer them. Have a good day.
x/4−2=x/8+4
1/4x+−2=1/8x+4
1/4x−2=1/8x+4
1/4x−2−1/8x=1/8x+4−1/8x
1/8x−2=4
1/8x−2+2=4+2
1/8x=6
8*(1/8x)=(8)*(6)
x=48
The sum of two numbers is 75. If one exceeds the other by 35, find the numbers.
Answer:
20 and 55
Step-by-step explanation:
Let's assume, we have two numbers 'x' and 'y'.
Now, all we know is:
one number exceeds the other by 35 (i.e their difference is 35)sum of two numbers is 75So we form two equations:
x + y = 75_____(i)
and x - y = 35
so, x = y+35 _____(ii)
Put the value of x from (ii) into (i)
x + y = 75
y + 35 + y = 75
2y = 40
y = 20
Put value of y back in (ii)
x = y+35
x = 20 + 35
x = 55
The first number is 20, and the second number is 55.
Given that the sum of two numbers is 75, one exceeds the other by 35, we need to find the numbers.
Let's assume the first number is x.
According to the problem, the second number exceeds the first by 35, so the second number can be expressed as (x + 35).
The sum of the two numbers is given as 75, so we can set up the equation:
x + (x + 35) = 75
Simplifying the equation, we get:
2x + 35 = 75
Subtracting 35 from both sides:
2x = 40
Dividing both sides by 2:
x = 20
Therefore, the first number is 20, and the second number is (20 + 35) = 55.
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Find the 6th term of each geometric sequence. 9, 45, 225, 1125
Answer:
28125
Step-by-step explanation:
Refer to the image below.
Write an inequality and show on a number line all numbers:
greater than (-3) but less than or equal to 3
(enter the inequality in terms of x)
Eg. x<-3; 3 7
Answer:
The inequality is:
- 3 < x ≤ 3And the graph is attached
Greater than -3
x>-3-3<xLess than or equal to 3
x≤3For number line
put a open dot at -3
put a close dot at 3
join them
Convert 7 6/7 into an improper fraction.
Answer:
55/7Explanation:
Step 1
Multiply the denominator by the whole number
7 × 7 = 49
Step 2
Add the answer from Step 1 to the numerator
49 + 6 = 55
Step 3
Write answer from Step 2 over the denominator
Answer = 55/7
I hope you are enjoying your day and that this helps you out! Brainliest would be appreciated :)Answer:
55/7
Step-by-step explanation:
To convert 7 6/7 to an improper fraction
Start by multiplying the whole number with the denominator 7 x 7 = 49Then add the numerator to the number you get 49 + 6 = 55 The 55 will be your numerator for your improper fraction. 55/7 The denominator will remain the sameFind the value of b. PLEASE HELP ASAPPPP!!!!
A. 56
B. 140
C. 230
D. 65
Answer:
C
Step-by-step explanation:
b=360-2(65)=360-130=230
Answer:
230
Step-by-step explanation:
b= 360-2(65)
=360-130
=230
A chocolate factory has three classifications for the candies that it makes:
Caramels (12 varieties). please help!!!
Milk Chocolate (6 varieties)
Dark Chocolate (9 varieties)
1. Set up the NOTATION to figure out the different ways to choose 7 of the 12 Caramels
2. Set up the NOTATION to figure out the different ways to choose 3 of the 6 Milk Chocolates
3. Set up the NOTATION to figure out the different ways to choose 5 of the 9 Dark Chocolates
4. A customer has ordered an assortment to consist of seven types of caramels, three types of chocolate, and five types of dark chocolates.
How many such assortments are possible?
Answer:
1. 792 2. 20. 3. 126. 4.1995840
Step-by-step explanation:
Use the formula C(n,r)= n!/ r/ (n-r)! where n is total quantity of varieties and r is the quantity uou should choose.
1) n=12 (total quantity); r= 7
C(12,7)= 12!/(7! *(12-7)!)= 8*9*10*11*12/ (5*4*3*2)= 8*9*11= 72*11= 792
2) n=6 r=3
C(6,3)= 6!/ (3! * (6-3)!)= 6!/ (3!)^2= 4*5*6/ 3*2= 20.
3) C(9,5)= 9!/ (5!*4!)= 6*7*8*9/ (4*3*2*1)= 2*63= 126
4) You need to choose the whole set which consists of three components that has been defined. Multiply previous results
792*20*126= 1995840.
heeeellllp...
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Answer:
didn't shade all of them
Answer pls……………………….
Answer:
D
Step-by-step explanation:
x^2=y^3
Then x^6=y^9 but x^3z=z^9 so 3z=6, z=2
Answer:
z = 2
Step-by-step explanation:
[tex]x^{3z} = y^{9}\\\\x^{3z} =y^{3*3} \\\\x^{3z}= (y^{3})^{3}\\\\x^{3z}=(x^{2})^{3}\\\\x^{3z} = x^{6}[/tex]
As bases are same, compare the powers
3z = 6
z = 6/3
z = 2
An equilateral triangle has a perimeter of 18 feet. If a square whose sides have the same length as one side of the triangle is built, what will be the area of the square?
Answer:
36 ft²
Step-by-step explanation:
equilateral means all sides are equally long.
a triangle has 3 sides.
in our case they are all equally long.
and their sum (all 3 sides together) is the perimeter
P = 18 = 3 × side length
side length = 18/3 = 6 ft
a square with the same side length (6) had then an area of
side length × side length = 6×6 = 6² = 36 ft²
it is important to remember : a length is measured e.g. in feet (ft). an area is then meshed in square-feet (ft²). it is important to add this to the calculated numbers to express the right dimension of these numbers.
Can someone help me with this please !!
Step-by-step explanation:
I need help to...
I keep putting it in and no one has ever answered it and I'm struggling and getting stressed.
please someone help me! asap!!
Answer:
Last option= 30 minutes