Answer:
Solution given:
CD=18m
In ∆ ACD
Tan 35=opposite/adjacent
Tan 35=CD/AC
AC=18/Tan35
AC=25.7m
again
In ∆ BCD
Tan 60=opposite/adjacent
Tan 60=CD/BC
BC=18/tan60
BC=10.4
we have
AC=AB+BC
AB=25.7-10.4
AB=15.3
Distance between A and B point is 15.3 metre
The cost of 5 diesels is $1025. Calculate the cost of 17diesels
What is the area of the triangle in the diagram?
Answer:
B.
Step-by-step explanation:
the area of a triangle is
Area = baseline × height / 2
the baseline can be any of the 3 sides.
the height is then the perpendicular connection from the corner point opposite of the chosen line to the chosen line.
in this example the easiest approach would be to pick (x1,y1) to (x2,y1) as baseline, and the height would then be the piece of the y-axis from (0,0) to the baseline.
so, how long is the baseline ?
we need to calculate the difference between the coordinates of both corner points.
we have here an easy case, as both points have the same y value, so we only need to look at the difference in x.
baseline = x2 - x1
and the height is here simply (because of the special case) the difference of the baseline from (0,0) on the y-axis
height = y1
therefore, the area of the triangle is
Area = (x2-x1) × y1 / 2 = 1/2 × y1(x2-x1) = solution B
if the corner points and height are not so nicely aligned with the coordinate axis, then we need to calculate the distances by using Pythagoras to determine the "Hypotenuse" of the triangles created by the differences of the individual coordinates.
in our example
((x1,y1) to (x2,y1))² = (x2-x1)² + (y1-y1)² = (x2-x1)² + 0 = (x2-x1)²
and therefore
(x1,y1) to (x2,y1) = (x2-x1)
and we are back to our original solution.
Solve for the missing angle measures.
Answer:what were the anwsers
Step-by-step explanation:
In the diagram below, KL = 12 and LM = 8. Which additional facts would guarantee that JKLM is a parallelogram? Check all that apply K 12 8 A. JK = 12, and JM is parallel to KL B. JK = 8, JM = 8 C. JK = 8, and JK is parallel to LM D. JK = 8, JM = 12
Answer:
A. JK = 12, JK is parallel to LM
D. JK = 8, JM = 12
Step-by-step explanation:
Based on the given figure above, the additional facts that would guarantee that JKLM is a parallelogram are answers A and D.
By definition, a parallelogram is a figure that has opposite sides parallel or it has two pairs of sides that are parallel.
The additional facts that would guarantee that JKLM is a parallelogram are
JK = 8 and JM = 12.
Option B is the correct answer.
What is a parallelogram?Parallelogram is a quadrilateral that has two pairs of parallel sides.
In a parallelogram, opposite sides and angles are equal.
The adjacent angles add up to 180 degrees.
We have,
In a parallelogram,
The opposite sides are parallel and so the sides are also equal.
Now,
KL and JM are parallel.
So,
KL = JM = 12
And,
KJ and LM are also parallel.
So,
KJ = LM = 8
Thus,
The additional facts that would guarantee that JKLM is a parallelogram are
JK = 8 and JM = 12.
Learn more about parallelograms here:
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Help pls, the question is in the picture. I'm to lazy to do the math today. I hate math.
Answer:
C
Step-by-step explanation:
Both models represent half of the gymnasium, its just that one is vertical and one is horizontal. Both are basically correct. C is the right answer since it says both models are correct. Each class also does occupy 1/12 of the gymnasium since they get 1/6 of 1/2 of the gymnasium. Of means multiply so 1/6 * 1/2 = 1/12.
Help please i need this in less that 3 minutes. i just need the formula or what to do
Hello friend how are you♥♥♥♥♥♥
Answer:
b
1058.4 hope helpful answer
You are to play the following game of cards. Cards are worth their face value, Jacks, Queens and Kings are also worth 10 and Aces are worth 11. You pull precisely two cards from a standard deck and if their sum is at least 20, then you win the game and are given a prize of cash. It costs you $10 to play the game. At least how much should the prize be in order to make your expected winnings positive
Answer:
$82.875
Step-by-step explanation:
From the given information:
Assume F is used to denote the two cards;
If there are four aces among 52 playing cards, the chance of selecting the first ace is = [tex]\dfrac{4}{52}[/tex]
After selecting the first ace, we have only 3 aces remaining and a total of 51 playing cards. Thus, the chance of selecting the second ace will be [tex]\dfrac{3}{51}[/tex]
By applying product rule, we can determine the chance of selecting two aces without replacement as follows:
i.e.
[tex]P(F=22)=\dfrac{4}{52}\times \dfrac{3}{51}[/tex]
[tex]= \dfrac{1}{221}[/tex]
The probability of getting one ace, one face is:
[tex]P(F=21) =( \dfrac{4}{52}\times \dfrac{12}{51})+( \dfrac{12}{52}\times \dfrac{4}{51})[/tex]
[tex]P(F=21) = \dfrac{4}{221}\times\dfrac{4}{221}[/tex]
[tex]P(F=21) = \dfrac{8}{221}[/tex]
Since there are 4 aces, 4 nine, and 12 faces in a card deck
The probability of getting one ace, one nine, or two faces now will be:
[tex]P(F=20) = (\dfrac{4}{52} \times \dfrac{4}{51})+ (\dfrac{4}{52} \times \dfrac{4}{51}) + (\dfrac{12}{52} \times \dfrac{11}{51})[/tex]
[tex]P(F=20) = (\dfrac{53}{663} )[/tex]
Now, the probability of at least 20 now is:
[tex]\text{P(F at least 20)} = \dfrac{1}{221}+\dfrac{8}{221}+\dfrac{53}{663}[/tex]
[tex]\text{P(F at least 20)} = \dfrac{80}{663}[/tex]
If H represents the amount of prize of the expected winnings:
Then;
[tex](H - 10) (\dfrac{80}{663}) + (-10)(\dfrac{663-80}{663}) = 0[/tex]
[tex]\dfrac{80(H-10)}{663}-\dfrac{5830}{663}=0[/tex]
[tex]\dfrac{80(H-10)}{663}=\dfrac{5830}{663}[/tex]
80H - 800 = 5830
80H = 5830 +800
80H = 6630
H = 6630/80
H = $82.875
The prize should be $82.875 to make a winning positive.
Which system of linear inequalities is shown in the graph?
y < x + 4
y ≤ -3x - 2
y > x + 4
y ≤ -3x - 2
y > x + 4
y ≥ -3x - 2
y < x + 4
y ≥ -3x - 2
Answer:
wait ill work this out for you
Step-by-step explanation:
Answer:
y <x+4
y >-3x - 2
which expression is equivalent to the given expression?
ln(2e/x)
ln2+ ln e -ln x
ln 2 + 1 - ln x
OPTION D is the correct answer
Solve each equation for 0 ≤ θ 2π -2√2=-4sin 2θ
Answer:
Step-by-step explanation:
Begin by dividing both sides by -4 to get:
[tex]\frac{\sqrt{2} }{2}=sin2\theta[/tex] and then take the inverse sin of both sides to get
[tex]sin^{-1}(\frac{\sqrt{2} }{2})=2\theta[/tex] (the inverse sin undoes the sin on the right). Now we need to look on our unit circle to find the angles where [tex]sin(\frac{\sqrt{2} }{2})[/tex] is positive. There are 2 places. Sin is positive in both QI and QII. The angles are
[tex]\frac{\pi}{4},\frac{3\pi}{4}[/tex]. Therefore, our 2 equations are
[tex]\frac{\pi}{4}=2\theta[/tex] and [tex]\frac{3\pi}{4}=2\theta[/tex]. Solving the first equation:
[tex]\theta=\frac{\pi}{8}[/tex]
and the second equation:
[tex]\theta=\frac{3\pi}{8}[/tex]
find the square (3x+y)
Answer:
9x² + 6xy + y²
Step-by-step explanation:
(a + b)² = a² + 2ab + b²
a = 3x
b = y
(3x +y)² = (3x)² + 2*3x*y + y²
= 9x² + 6xy + y²
(3x)² = 3²*x² = 3*3*x² = 9x²
I would appreciate if someone could answer this :)
Answer:
x = 3
Step-by-step explanation:
(-2 + 40x) + 62° = 180° (adjacent angles are supplementary)
-2 + 40x + 62 = 180
Add like terms
40x + 60 = 180
Subtract 60 from each side
40x + 60 - 60 = 180 - 60
40x = 120
Divide both sides by 40
40x/40 = 120/40
x = 3
If f(x) = 8x and g(x) = 2x +1 find (f o g) (x)
Answer:
(fog) (x) = 8*(2x+1)=16x+8
Step-by-step explanation:
find the 7th term of the geometric sequence whose common ratio is 1/3 and whose first term is 6.
Answer:
5
Step-by-step explanation:
2
Question
If the average (arithmetic mean) of x, y, and 24 is 10, what is the average of x and y?
02.
03
06
o It cannot be determined from the information given
Answer:
I don't know
Step-by-step explanation:
the answer is 0.2
The average of x and y is 03
How to determine the average?The average of the three numbers is given as:
Average = 10
This means that:
(x + y + 24)/3 = 10
Multiply both sides by 3
x + y + 24 = 30
Subtract 24 from both sides
x + y = 6
Divide by 2
(x + y) = 3
Hence, the average of x and y is 03
Read more about average and mean at:
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Suppose the probability of a false positive result on a mammogram is 7% and that radiologists' interpretations of mammograms are mutually independent in the sense that whether or not a radiologist finds a positive result on one mammogram does not influence whether or not a radiologist finds a positive result on another mammogram. Assume that a woman has one mammogram every year for ten years.
(a) What is the probability (as a %) that she will have no false positive results during that time?
(b) What is the probability (as a %) that she will have at least one false positive result during that time?
(c) What is the probability (as a %) that she will have exactly two false positive results during that time?
(d) Suppose that the probability of a false negative result on a mammogram is 3%, and assume that the probability that a randomly chosen woman has breast cancer is 0.0003.
(i) If a woman has a positive test result one year, what is the probability (as a %) that she actually has breast cancer?
(ii) If a woman has a negative test result one year, what is the probability (as a %) that she actually has breast cancer?
Answer:
a) 48.4%
b) 51.6%
c) 12.3%
d) i) 93.0% ii) 3.0%
Step-by-step explanation:
a)
P(fp) = probability of false positive result
P(fp) = 0.07
P(fp = 0) = (1 - 0.07)¹⁰
P(fp = 0) = 0.4839... ⇒ 48.4%
b)
P(fp = 1) = 1 - 0.4839...
P(fp = 1) = 0.516... ⇒ 51.6%
c)
P(fp = 2) = 10C2(0.07)²(0.93)⁸
P(fp = 2) = 0.123... ⇒ 12.3%
d)
P(fn) = probability of false negative
P(b) = probability a randomly selected woman has breast cancer
P(fn) = 0.03
P(b) = 0.0003
If she has a positive test, it is either a true positive, meaning she actually has breast cancer, or a false positive, meaning she doesn't;
If P(fp) = 0.07, then the probability of a true positive is 0.93 or 93%
ii)
If she has a negative test, a true negative means she doesn't have breast cancer, and a false negative means she does have breast cancer;
The probability of a false negative is 0.03 or 3%
(I'm not entirely sure about part d, but I've answered as I've understood it according to my logic, they seem to be somewhat trick questions unless I've incorrectly understood the questions)
Look at ZV SW and ZTSW in the image below.
Which of the following is the best description for this pair of angles?
O acute
O complementary
O straight
supplementary
Answer:
Supplementary is your answer
what is the best teaching learning material in mathematics for kids?
Answer:
Step-by-step explanation:
Dice, cards, spinners and the like are interactive and engaging math aids to get children involved in learning about probability, chance, number patterns and statistics.
Mary needs a laptop. She decided to barrow one on hire purchase. The marked price of the laptop $100, 200 and she had to pay a deposit of 10% of the marked price. If the total hire purchase price of the laptop is $142, 020 after a 5 year payment plan, how much was Mary’s monthly payments?
Answer:
2, 367
Step-by-step explanation:
142,020 / 5 = 28, 404
28, 404 / 12 = 2, 367
6th work. What measure of Central tendency is calculated by adding all the values and diving the sum by the number of values
A) Median
B) Mean
C) Mode
D) Range
what is the least common denominator of 1/3 and 4/7?? plsss explain
Answer:
21
Step-by-step explanation:
The smallest number that can go into both 3 and 7 as our denominators is 21. This can be worked about by multiplying them together.
(FYI: In some cases, if the product is even, it may not always work to multiply them together)
Answer:
21
hope this helps
have a good day :)
Step-by-step explanation:
3 multiples are 3, 6, 9, 12, 15, 18, 21, 24
7 multiples are 7, 14, 21, 28
so would need to change both denominators to 21 and multiple 7 and to 1/3 to get 7/21 and 3 to 4/7 to get 12/21
find the equation of the striaght line passing through (3, 5) which is perpendicular to the line y=3x+2
Answer:
pls provide with a graph
Solve using the quadratic formula
Answer:
-5, -1/2
Step-by-step explanation:
I could only show half of the steps, but you can use the app photo math, you just take a pic of the problem and it gives you the answer and explains the steps.
What is the tangent of 0?
Step-by-step explanation:
tan 0 = 5/ √11 = 5√11 /11
__________
Answer:
5 / √11
Step-by-step explanation:
tan θ = opposite side / adjacent side
tan θ = 5 / √11
Geometry work HELP ASAP trying to find the measure of a circumference!!
Answer:
65 degrees
Step-by-step explanation:
Since it is given that AB=DC
then we know that AO=DO and BO=CO because it is the radius of a same circle.
Hence the shapes are equal and thus DOC=65 degree as it serves as a corresponding angle to AOB
4 to the power of -3 as fraction
Answer:
Step-by-step explanation:
4^-3
=1/4^3
=1/64
Answer:
[tex]\frac{1}{64}[/tex]
Step-by-step explanation:
[tex]4^{-3} = 0.015625[/tex]
[tex]0.015625 = \frac{1}{64}[/tex]
from 5 metres of cloth Alexa cut 217 cm how much cloth remaining after cutting
Answer:
2.83 meters
Step-by-step explanation:
Change 217 cm to meter
217 * 1 m/ 100 cm = 2.17 m
5 meter - 2.17 m = 2.83 meters
Answer:
283 cm Or 2.83 m of cloths remaining after cutting.
Step-by-step explanation:
Alexa have a cloth measures 5 metre and she cut 217 cm clothes.As we know that
1 m = 100 cm
so, 5 m = 5 × 100 = 500 cm
Alexa cut 217 cm of clothesSubtract 217 cm from 500 cm
➛ 500 - 217
➛ 283 cm Or 2.83 m
Plz Help more than one !!!!!!!!!!!!!!!!!!
Answer:
The correct option is (b).
Step-by-step explanation:
We need to find the equivalent to -2(4-3x)+(5x-2)
Using the associative property,
-2(4-3x) = -2(4)+2(3x)
= -8+6x
So,
-2(4-3x)+(5x-2) = -8+6x +5x-2
taking like terms together,
-2(4-3x)+(5x-2) = 6x+5x-8-2
= 11x-10
The equivalent expression is equal to (11x-10).
Help please!! Step by step!!
Answer:
[tex]P(Ice Cream|Frogtown) = 67.4\%[/tex]
Step-by-step explanation:
Given
The attached plot
Required
P(Ice Cream|Frogtown)
This is calculated as:
[tex]P(Ice Cream|Frogtown) = \frac{P(Ice\ Cream\ n\ Frogtown)}{P(Frogtown)}[/tex]
From the attachment;
[tex]P(Ice\ Cream\ n\ Frogtown) = 0.31[/tex]
[tex]P(Frogtown) = 0.31 + 0.15 = 0.46[/tex]
So, we have:
[tex]P(Ice Cream|Frogtown) = \frac{P(Ice\ Cream\ n\ Frogtown)}{P(Frogtown)}[/tex]
[tex]P(Ice Cream|Frogtown) = \frac{0.31}{0.46}[/tex]
[tex]P(Ice Cream|Frogtown) = 0.6739[/tex]
Express as percentage
[tex]P(Ice Cream|Frogtown) = 0.6739 * 100\%[/tex]
[tex]P(Ice Cream|Frogtown) = 67.39\%[/tex]
[tex]P(Ice Cream|Frogtown) = 67.4\%[/tex] -- approximated
Pleas help will mark brainlist!
Geometry
This makes a cube because a cube has 6 faces, 8 vertices, and 12 edges.
