Answer:
18/121
1/4
(not 100% sure)
In right triangle ABC on hypotenuse AB lies points K and M such that AK=AC, BM=BC. Find m∠MCK.
Answer:
The measure of ∠MCK is 45°
Step-by-step explanation:
The parameters given are;
ΔABC with hypotenuse side AB
Let AB = x
BC = y
AC = z
∴ x² = y² + z²
∠BCM = ∠CMB (Base angles of isosceles triangle ΔBMC)
Similarly, ∠ACK = ∠AKC (Base angles of isosceles triangle ΔKAC)
∴ ∠BCM + ∠CMB + ∠CBM = 180° (Sum of interior angles in a triangle)
Hence, 2 × ∠BCM + ∠CBM = 180°........(1)
Similarly, 2 × ∠ACK + ∠CAK = 180°......(2)
Hence, 2 × ∠BCM + ∠CBM = 2 × ∠ACK + ∠CAK
However, ∠CBM + ∠CAK + 90° = 180° (Sum of angles in right triangle ΔABC)
∴∠CBM + ∠CAK = 180° - 90° = 90°
Adding equations (1) and (2), we have;
2 × ∠BCM + ∠CBM + 2 × ∠ACK + ∠CAK = 180° + 180° = 360°
Which gives;
2 × ∠BCM + 2 × ∠ACK + ∠CBM + ∠CAK = 360°
Where;
∠CBM + ∠CAK = 90°, we have;
2 × ∠BCM + 2 × ∠ACK + 90° = 360°
∴ 2 × ∠BCM + 2 × ∠ACK = 360° - 90° = 270°
∠BCM + ∠ACK = 270°/2 = 135°
∠BCM = ∠CMB
∴ ∠CMB + ∠ACK = 135°
Also, ∠CMB = ∠CMK and ∠ACK = ∠MCK
Hence, ∠CMK + ∠MCK = 135°
However, ∠CMK + ∠MCK + ∠MCK = 180° (Sum of interior angles in a triangle)
Which gives;
∠CMK + ∠MCK + ∠MCK = 135° + ∠MCK = 180°
∴ m∠MCK = 180° - 135° = 45°.
The measure of ∠MCK, m∠MCK = 45°.
Jordan invested $8,500 in an account paying an interest rate of 4.1% compounded daily. Assuming no deposits or withdrawals are made, how long would it take, to the nearest year, for the value of the account to reach $13,070?
Answer:
11 years
Step-by-step explanation:
Answer:
Its actually 10 years
Step-by-step explanation:
Its about 10.4 but it says nearest year and 10 is closer than 11
Ari's teacher says he may have his report grade based on either the mean or the median of his last six test scores
88%, 73%, 97%, 76%, 90%, 80%
Which measure of center would best represent Ari's grade?
Answer:
The mean
Step-by-step explanation:
Answer:
the answer is option a) the mean
Step-by-step explanation:
The quadratic equation 2x^2+4x-30=0 has two solutions. one of the solutions is x=3 the other solution is?
Answer:
2x^2+4x-30=0
Step-by-step explanation:
2x^2+10x-6x-30=0
2x(x+5)-6(x+5)=0
(2x-6)(x+5)=0
2x-6=0 x+5=0
x=6/2 x=-5
x=3
Answer:
Step-by-step explanation:
[tex]2x^2+4x-30=0\\<=> x^2+2x-15=0[/tex]
so we know that the sum of the two solutions is -2 and the multiplication -15
so we are looking for x so that
x+3=-2 and 3x=-15
it gives x = -5
another way to do it is to put (x-3) in factor as we know that 3 is one of the solutions it gives
[tex]2x^2+4x-30 = 2(x-3)(x+5)[/tex]
and then the second solution is -5
what is the degree measure of an angle that measures 4.5 radians
Answer:
257.8°
Step-by-step explanation:
rad × 180/π = °
4.5*180=810
810/π=257.8
Please Answer it’s simple but today I’m not feeling like myself who can help me? Please
I think the picture is better
Answer:
Step-by-step explanation:
Answer:
1440
Step-by-step explanation:
Volume of larger prism÷Volume of cube
that is;
Note:V=LWH
Therefore
[tex](6 \times \frac{5}{6 } \times 1 \times \frac{2}{6} ) \div ( { \frac{1}{6} })^{ 3}
= 1440[/tex]
Hope this answers your question!
Please follow my account.
Cheers!
solve for x and y
help please!!
need step by step explanation.
will give the brainliest!!
Answer:
x=4, y=10
Step-by-step explanation:
(x+2)/3= (y-2)/4= (y-x)/3
x+2= y-x ⇒ y= 2x+2(x+2)/3= (2x+2-2)/4 ⇒ (x+2)/3= x/2 ⇒ 2x+4= 3x ⇒ x=4y=2*4+2= 10Answer:
The value of x is 2 and y is 10.
Step-by-step explanation:
First, you have to do cross multiplications of any 2 fractions :
1st equation,
[tex] \frac{x + 2}{3} = \frac{y - 2}{4} [/tex]
[tex]4(x - 3) = 3(y - 2)[/tex]
[tex]4x + 8 = 3y - 6[/tex]
2nd equation,
[tex] \frac{y - 2}{4} = \frac{y - x}{3} [/tex]
[tex]4(y - x) = 3(y - 2)[/tex]
[tex]4y - 4x = 3y - 6[/tex]
Next, you have to solve the simultaneous equation by elimination :
[tex]4x - 3y = - 14 - - - (1)[/tex]
[tex] - 4x + y = - 6 - - - (2)[/tex]
[tex](1) + (2)[/tex]
[tex]4x - 3y + ( - 4x) + y = - 14 + ( - 6)[/tex]
[tex] - 2y = - 20[/tex]
[tex]y = 10[/tex]
[tex]substitute \: y = 10 \: into \: (1)[/tex]
[tex]4x - 3(10) = - 14[/tex]
[tex]4x - 30 = - 14[/tex]
[tex]4x = - 14 + 30[/tex]
[tex]4x = 16[/tex]
[tex]x = 4[/tex]
Does anyone know how to find the area ?
Answer:
To find the area of a shape, multiply the sides. Hope this helps! ;)
Answer:
YES!
Step-by-step explanation:
The simplest (and most commonly used) area calculations are for squares and rectangles. To find the area of a rectangle, multiply its height by its width. For a square you only need to find the length of one of the sides (as each side is the same length) and then multiply this by itself to find the area.
5, Construct Arguments May bought 12
hats. What solid figure do the hats look
like? What attributes help you decide?
Answer:
Cone.
Step-by-step explanation:
From the given figure it is clear the hat is look like a solid figure, which have a circular base and single vertex, i.e., cone.
The following attributes help as to decide that the hat is a cone:
1. Hat and cone both have one vertex.
2. Hat and cone both have one circular base.
Therefore, the hat is look like cone.
the length of a rectangular picture frame is twice the width the frame has a permit from her murder of 96 in write and solve a system of equations to represent the solution let X represent the width of the frame and it lives represent the length of the frame interpret the solution
Answer:
16 is the width 32 is the length
Step-by-step explanation:
L = 2x
96 = 2L + 2x Substitute the first equation into the second equation for L
96 = 2(2x) + 2x Multiply
96 = 4x + 2x Add
96 = 6x Divide both sides by 6
16 = x
Plug this into the first equation to solve for the length
L = 2(16) Multiply
L = 32
=)))))))))))))))))))))))))
Answer:
c
Step-by-step explanation:
-10x is less than or equal to 40
x is greater than or equal to -4
flip the signs when you divide by a negative #
Please Answer Quick!!
Write 2 2/3 as an improper fraction. Then multiply the improper fraction by 1/4. Write the product as a reduced fraction.
Answer:
2 2/3 as an improper fraction is 8/3
8/3 × 1/4 = 2/3
The table represents a linear function.
What is the slope of the function?
0-6
O -4
0 4
O 6
Answer:
- 6
Step-by-step explanation:
[tex]slope = \frac{8 - 2}{ - 2 - ( - 1)} = \frac{6}{ - 2 + 1} = \frac{6}{ - 1} = - 6[/tex]
asaphhhhhhhhhreeeerlllloppo
Answer:
(3 x 2 x 3 x 2) + (2 x 2 x 2 x 2 x 3)
Step-by-step explanation:
36 = 6 x 6
6 = 3 x 2
36 = 3 x 2 x 3 x 2
48 = 12 x 4
12 = 3 x 4
4 = 2 x 2
48 = 2 x 2 x 2 x 2 x 3
A total of 70 tickets were sold for a concert and earn the organizers $804. If the cost of each ticket is either $10 or $12, how many tickets of each type were sold.
A. 18 tickets cost and 52 cost $12
B. 52 tickets cost $10 and 18 tickets cost $12
C. 65 tickets cost $12 and 5 tickets cost $10
D. 5 tickets cost $12 and 65 tickets cost $10
Answer: A = $804 18 tickets cost $10 and 52 cost $12
Step-by-step explanation:
A = $804 18 tickets cost $10 and 52 cost $12
B = $736
C = $830
D = $170
Suppose you want to build a small walkway around your garden so that there is someplace to walk around and work on your vegetables. The garden measures 20‘ x 30‘ and you want to increase the area of the garden to 1000 ft². What is the width of the walkway
1)Approximately 3.3 feet
2) approximately 3.5 feet
3) approximately 3.7 feet
4) approximately3.9 feet
The sides of a cube are numbered 4, 5, 6, 7, 8, and 9. What is the probability of rolling a 6?
Answer:
1/6
Step-by-step explanation:
out of 6 numbers in total there is only one 6 therefore there is only 1/6 chances
[tex]\frac{1}{6}[/tex]
Probability is a discipline of mathematics concerned with numerical explanations of the likelihood of an event occurring or the truth of a claim. The probability of an event is a number between [tex]0[/tex] and [tex]1[/tex]
Sides of a cube are numbered [tex]4,5,6,7,8,9[/tex]
Probability [tex]=[/tex] Number of possible outcomes [tex]\div[/tex] Total number of outcomes
Number of possible outcomes [tex]=1[/tex]
Total number of outcomes [tex]=6[/tex]
Probability of rolling a [tex]6=\frac{1}{6}[/tex]
For more information:
https://brainly.com/question/11234923?referrer=searchResults
Two years ago ,Mr.Braxton counted 7 hickory trees in his yard. last year he counted 14 trees in his yard. this s[ring he counted 28 hickory trees.In how many years will there be 224 hickory trees?
Answer:112 years, you see a pattern of multiplying by 2, take 224 and divide it by 2 and you get 112
Step-by-step explanation:
Step-by-step explanation:
Well seeing as each year the amount of Trees Doubled (7+7=14 and 14+14=28)
We can Infer that each year afterwards it will do so.
So 1 year from now 28+28 = 56
2 years from now 56 + 56 = 112
And finally at 3 years 112+112 we arrive at our answer 224
Answer: So it would take 3 years to get to get to 224
NEED HELP ASAP
In the unit similar triangles and trigonometry, what is “ primary Trigonometry ratio-memory trick ?”
Please answer this question GEOMENTRY
Answer:
4 in
4√2 in
Step-by-step explanation:
Part A
Missing angle= 90°-45°=45°
Missing leg = 4 in as opposite angles are equal
Part B
According to Pythagorean theorem
Hypotenuse²= (4in)²+(4in)²= 32 in²
c=√32 in²= 4√2 in
Carrie and Kenny both play soccer. Kenny scored 3 times as many goals as Carrie. Together they scored 12 goals. Could Carrie have scored 2 goals? Why or why not? Yes, because 2 goals is less than the total number of goals scored. No, because 3(2) + 2 ≠ 12. Yes, because 2 goals is less than the number of goals Kenny scored. No, because 3(2) ≠ 12.
Answer:
No, because 3(2) + 2 ≠ 12.
Step-by-step explanation:
An equation is formed of two equal expressions. Carrie has not scored 2 goals, because 3(2) + 2 ≠ 12. The correct option is B.
What is an equation?An equation is formed when two equal expressions are equated together with the help of an equal sign '='.
Given that Carrie and Kenny both play soccer. Kenny scored 3 times as many goals as Carrie. Therefore, we can write,
Number of goals scored by Carrie = x
Number of goals scored by Kenny = 3x
Now, given that Together they scored 12 goals. Therefore, the total scores can be written as,
Total score = Number of goals scored by Carrie +Number of goals scored by Kenny
12 = x + 3x
12 = 4x
x = 3
Further, the number of goals for the two can be written as,
Number of goals scored by Carrie = x = 3
Number of goals scored by Kenny = 3x = 3×3 = 9
Hence, Carrie has not scored 2 goals, because 3(2) + 2 ≠ 12.
Learn more about Equation here:
https://brainly.com/question/14686792
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A coin has two sides: heads and tails. A die has six sides, numbered 1 through 6. If you flip the coin and roll the die, what is the
probability that you flip "heads" and roll a number less than 3?
simplify square root of 5 times square root of 8
Answer:
6 sqrt(5) - 4 sqrt(15)
Step-by-step explanation:
sqrt(5) ( ( 6 - 4 sqrt(3))
Distribute
6 * sqrt(5) - 4 * sqrt(5) sqrt(3)
We know sqrt(a) sqrt(b) = sqrt(ab)
6 sqrt(5) - 4 sqrt(15)
Answer:
[tex]6\sqrt{5}-4\sqrt{15}[/tex]
Step-by-step explanation:
[tex]\sqrt{5} (6-4\sqrt{3} )[/tex]
[tex]\sqrt{5}\times \:6-\sqrt{5}\times \:4\sqrt{3}[/tex]
[tex]6\sqrt{5}-4\sqrt{5} \times \sqrt{3}[/tex]
[tex]6\sqrt{5}-4\sqrt{5 \times 3}[/tex]
[tex]6\sqrt{5}-4\sqrt{15}[/tex]
SOMEONE PLEASE HELP ME ASAP PLEASE!!!
Answer:
80 degrees
Step-by-step explanation:
180-100=80 degrees
Answer:
[tex]80 \: \: degrees[/tex]
Step-by-step explanation:
Angels in a straight line = 180°
Let the ACE angle be x
Given that
ACD angle =100°
[tex]100 + x = 180 \\ x = 180 - 100 \\ x = 80 \: degrees[/tex]
hope this helps
brainliest appreciated
good luck! have a nice day!
Calculate the mean given the frequency table
Class
Frequency
0-9
24
10-19
20
20-29
32
Answer:
So the mean of the given data set is approximately 15.55.
Step-by-step explanation:
The mean is calculated by taking the sum of the product of each class midpoint and its corresponding frequency and dividing by the total frequency.
The midpoint of each class can be calculated as the average of the lower and upper class boundaries:
Class 0-9: Midpoint = (0 + 9) / 2 = 4.5
Class 10-19: Midpoint = (10 + 19) / 2 = 14.5
Class 20-29: Midpoint = (20 + 29) / 2 = 24.5
Now we can find the sum of the product of each midpoint and its frequency:
(4.5 * 24) + (14.5 * 20) + (24.5 * 32) = 108 + 290 + 784 = 1182
Finally, we divide this sum by the total frequency (76) to find the mean:
1182 / 76 = 15.552632
So the mean of the given data set is approximately 15.55.
what is measurement of angle 2 and 11
Answer:
Angle 2 = 40 degrees Angle 11 = 60 degrees
Step-by-step explanation:
Start by using angle 1 to find angle 2
angle 1 is 140 + 2 is unknown = 180 degrees
140 + x = 180
-140 -140
x = 40
Angle 2 is 40 degrees
Now add together angles 2 and 9 to find the measure of angle 11
40 + 80 + x = 180
120 + x = 180
-120 -120
x = 60
Angle 11 is 60 degrees
Answer:
Angle #2 = 40 degrees Angle #11 = 60 degrees
Step-by-step explanation:
.
Thomas has two kittens. He records the
mass of one kitten as 2.2 kilograms and
the mass of the other kitten as 1,890 grams.
What is the total mass of the two kittens
in kilograms? (1 kilogram 1,000 grams)
Answer:
4.09
Step-by-step explanation:
Answer:
4.09
Step-by-step explanation:
change 1890 to kilograms
1890/1000= 1.89
add both weight = 1.89+2.2
4.09
What is the midpoint of the vertical line segment graphed below?
Answer:
C.
Step-by-step explanation:
(5+5)/2 = 5, (4 + -5)/2 = -1/2
(5, -1/2)
TFW when you realize you answered two years too late...
Juan and Adam go to the movie theater and purchase refreshments for their friends,
Juan spends a total of $130.00 on 10 bags of popcorn and 10 drinks.
Adam spends a total of $56.50 on 3 bags of popcorn and 5 drinks.
Write a system of equations that can be used to find the price of one bag of popcorn
and the price of one drink.
Using these equations, determine and state the price of a drink, to the nearest cent.
Answer:
Popcorn = $4.25 per bag, Drink = $8.75
Step-by-step explanation:
p = popcorn
d = drinks
10p + 10d = 130
3p + 5d = 56.50
multiply the second equation by -2 and then solve by elimination
-6p - 10d = -113
4p = 17
p = 4.25
3(4.25) + 5d = 56.50
5d = 43.75
d = 8.75
Answer:
10x + 10y = $130.00
3x + 5y = $56.50
Solution: x=4.25 and y=8.75
Step-by-step explanation:
The variable x will be used here to show the price of each bag of popcorn, while y will be used to represent the price of each drink. First we can solve 10x + 10y = 130 for x:
10x + 10y = 130
10x + 10y + -10y = 130 - 10y (Subtract 10y from both sides)
10x = -10y + 130
Now divide 10 by both sides
x = -y + 13
Next, you will substitute -y + 13 for x in 3x + 5y = 56.5:
3x + 5y = 56.5
3(-y + 13) + 5y = 56.5
2y + 39 = 56.5 (Simplify both sides of the equation)
2y + 39 + −39 = 56.5+ −39 (Add -39 to both sides)
2y = 17.5 (Now divide both sides by 2)
y = 8.75
You can check this by substituing 8.75 for y in x = -y + 13
A.75/1 dollars per daythe cost $75 for each day.
B.1/25 dollars per day; the cost is $25 for each day.
C.1/150 dollars per daythe costs $1 for 150 days
D.25/1 dollars per daythe cost is $25 for each day
Answer:
D
Step-by-step explanation:
Count by 25. Its a no-brainer honestly.