Answer:
x = 56
Step-by-step explanation:
a^2 + b^2 = c^2
12^2 + b^2 = 14.5^2
-12^2
b^2 =66.25
sqrt(b) = sqrt(66.25)
b= 8.13941029...
b=8.1
b is the grass part, which will extend from the front end of the ladder to the end of the slide.
To solve an SAS triangle
use The Law of Cosines to calculate the unknown side,
use The Law of Cosines to calculate the unknown side,then use The Law of Sines to find the smaller of the other two angles,
use The Law of Cosines to calculate the unknown side,then use The Law of Sines to find the smaller of the other two angles,and then use the three angles add to 180° to find the last angle.
Angle ∠A = 55.852° if we round 56
Angle ∠B = 34.148° if we round 34
double check 56+34+90 = 180
12.7 x 3.9 what is the answer
Answer:
49.53
Step-by-step explanation:
Answer:
49.53
3.9 = 3 + 0.9 (separated by place value)
12.7 x 0.9 = 11.43
12.7 x 3 = 38.1
11.43 + 38.1 = 49.53
(this is the process that happens in stack multiplication of this format:
12.7
x 3.9
-----------
49.53
What is the area of the unshaded portion of this figure?
Answer:
Step-by-step explanation:
it is d) 162
Answer:
The answer is d 162cm^2
Step-by-step explanation:
Hope this helps :)
Help me find the missing number #1-12 please thank you
Answer:
Step-by-step explanation:
1) 5 2)20 3)3 4) 12
5) 9 6)18 7) 3 8) 20
9) 27 10)15 11)5 12)18
GUYS CAN ANYONE HELP ME WITH 5 and 6 please
Answer:
first one is 120cm
second one is 7.5 miles
Step-by-step explanation:
one book is 3.75
maximum books are 25
so 25×3.75 = 93.75
second question he crosses 0.63 to go for work
and 0.63 to go home so in one day he crosses 1.26 miles
in 6 days is (1.26×6) = 7.56
You play a game where you first choose a positive integernand thenflip a fair coinntimes. You win a prize if you get exactly 2 heads. How should youchoosento maximize your chance of winning
Solution :
The probability of winning when you choose n is = [tex]$^nC_2\left(\frac{1}{2}\right)^n$[/tex]
[tex]$n\left(\frac{n-1}{2}\right)\times \left(\frac{1}{2}\right)^n = n(n-1)\left(\frac{1}{2}\right)^{n+1}$[/tex]
Apply log on both the sides,
[tex]$f(n) = \log\left((n)(n-1)\left(\frac{1}{2}\right)^{n-1}\right) = \log n +\log (n-1)+(n+1) \ \log\left(\frac{1}{2}\right)$[/tex]
Differentiation, f(x) is [tex]$f'=\frac{1}{x}+\frac{1}{(x-1)}+\log\left(\frac{1}{2}\right)$[/tex]
Let us find x for which f' is positive and x for which f' is negative.
[tex]$\frac{1}{x}+\frac{1}{(x-1)} > 0.693$[/tex] , since [tex]$\log(1/2) = 0.693147$[/tex]
For x ≤ 3, f' > 0 for [tex]$\frac{1}{x}+\frac{1}{x-1}+\log\left(\frac{1}{2}\right)>0$[/tex]
[tex]$\frac{1}{x}+\frac{1}{x-1}-0.6931470$[/tex]
That means f(x) is increasing function for n ≤ 3
[tex]$\frac{1}{x}+\frac{1}{x-1}< 0.693147 $[/tex] for x > 4
f' < 0 for n ≥ 4, that means f(n) is decreasing function for n ≥ 4.
Probability of winning when you chose n = 3 is [tex]$3(3-1)\left(\frac{1}{2}\right)^{3+1}=0.375$[/tex]
Probability of winning when you chose n = 4 is [tex]$4(4-1)\left(\frac{1}{2}\right)^{4+1}=0.375$[/tex]
Therefore, we should chose either 3 or 4 to maximize chances of winning.
The probability of winning with an optimal choice is n = 0.375
please help find the surface area. i will give brainliest
Answer:
The first one is 145 in^2 and the other is 250 in^2
Step-by-step explanation:
For the first one you have to find the base first so 5*5=25, then you find the area of the other faces and since theres 4 of them dont bother diving them by 2 and just do it twice, so the faces would be 120 in^2 in all add it together and you get 145
For the second one its the same thing but instead of a square base its a triangle so theres only 3 faces. 8*10 = 80/2 =40, 2 of the faces are 140 in all and to find the last one just 14*10=140/2=70 and you add them together and get 250
A triangle has vertices P(−5, 4), Q(3, 4), and R(−5, −2). S is the midpoint of Segment PQ and T is the midpoint of Segment PR. What is the length of Segment ST?
Segment ST equals six square root of two end square root
Segment ST equals four
Segment ST equals three square root of two end square root
Segment ST equals five
Answer:
Length of ST = mQR/2 = 4
Step-by-step explanation:
S and T are the mid-points of PQ and PR, so ST is parallel to and equal to half the length of QR.
(following corrected due to mistake)
Length of QR = sqrt((3--5)^2+(4--2)^2)=sqrt(8^2+6^2)=10
Length of ST = mQR/2 = 5
I apologize for the error previously committed.
PLEASEEEEEE I NEEED HELLPPPPP IM BEGGGINGGGG SOMONE PLEASEEEEE HELPPPPPPPPPPPP
Answer:
2nd option:
8x+2y=32
x+y=7
Step-by-step explanation:
Answer:
It is in fact the second one.
Step-by-step explanation:
It says that he bought a total of 7 tickets and it cost $32.
x represents the number of adult tickets and y represents the number of chid tickets.
So:
x + y = 7 because the adding the number of adult and child tickets should equal the total number bought.
and
8x + 2y = 32 because each adult ticket was 8 dollars and each child was 2 and the total should add up to 32
The graph of the equation x+3y=6 intersects the y-axis at the point whose coordinates are
Answer:
Thank it if its helpful :D ; Answer is 2
Step-by-step explanation:
well lets make it y=mx+b form
3y=-x+6
y=-x/3+2
Y-intercept = 2
4. If a =15yds. and the hypotenuse c = 17 yds., what is the value of the leg b?
5. If b = 40 mi. and the hypotenuse c = 50 mi., what is the value of leg a?
9514 1404 393
Answer:
4. 8 yds
5. 30 mi
Step-by-step explanation:
The relation according to the Pythagorean theorem is ...
c² = a² + b²
This can be solved for 'a' or 'b' to get ...
a = √(c² -b²)
b = √(c² -a²)
__
4. b = √(17² -15²) = √(289 -225) = √64 = 8
The length of leg b is 8 yards.
__
5. a = √(50² -40²) = √(2500 -1500) = √900 = 30
The length of leg 'a' is 30 mi.
_____
Additional comment
You may recognize the relevant Pythagorean triples as (3, 4, 5) and (8, 15, 17). A few others that are often seen are (5, 12, 13), (7, 24, 25) and (9, 40, 41). Any of these can be multiplied by some factor, as the (3, 4, 5) triple is in problem 5.
Can someone please help me with this?? I will like your comment!
Answer:
[tex]A_{\Delta ABP}=\sin \theta[/tex]
Step-by-step explanation:
Let the center of the circle be O.
Recall that the area of a triangle can be given by:
[tex]\displaystyle A=\frac{1}{2} ab\sin C[/tex]
Where C is the angle between the two sides.
ΔABP is equal to the sum of ΔAPO and ΔBOP.
Let a = OP and b = OB. Since this is the unit circle and PO and BO are radii, they both equal one. C will be θ. Hence, the area of ΔBOP is:
[tex]\displaystyle A_{\Delta BOP}=\frac{1}{2}(1)(1)\sin \theta=\frac{1}{2}\sin\theta[/tex]
For ΔAPO, we can use the two sides OP and OA. Again, they are the radii of the unit circle, so they equal one. The angle in this case will be π - θ radians. Hence:
[tex]\displaystyle A_{\Delta APO}=\frac{1}{2}(1)(1)\sin\left(\pi -\theta\right)=\frac{1}{2}\sin\left(\pi -\theta\right)[/tex]
However, note that sin(π - θ) = sin(θ). Hence:
[tex]\displaystyle A_{\Delta APO}=\frac{1}{2}\sin\left(\theta\right)[/tex]
Hence, the area of ΔABP is:
[tex]\displaystyle A_{\Delta ABP}=\frac{1}{2}\sin \theta+\frac{1}{2}\sin\theta =\sin \theta[/tex]
Find 3 values that satisfy the inequality 4x - 3 < 25
Answer:See explanation
Step-by-step explanation:
The values that can be used to satisfy the inequality 4x - 3 < 25 will be calculated thus. We simply have to get the value of x and this will be:
4x - 3 < 25
4x < 25 + 3
4x < 28
x < 28/4
x < 7.
Therefore, the values that must satisfy the equation must be less than 7 such as 1, 2, 3, 4, 5 and 6.
Solve the following equation: -4(y - 2) = 12 *
1 point
y = 1
y = 5
y = -1
y = -5
y = 14
Answer:
y = -1
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightEquality Properties
Multiplication Property of Equality Division Property of Equality Addition Property of Equality Subtraction Property of EqualityStep-by-step explanation:
Step 1: Define
Identify
-4(y - 2) = 12
Step 2: Solve for y
[Division Property of Equality] Divide -4 on both sides: y - 2 = -3[Addition Property of Equality] Add 2 on both sides: y = -1Answer:
-4y+8=12
-4y=12-8
-4y=4
y=-1
Which inequality below compares the two
integers for this situation correctly?
Sunday at noon, the temperature was 16
degrees above zero. Wednesday at
noon, the temperature was 10 degrees
below zero.
Choose...
16 < -10
-10 > 16
16 > -10
16 < 10
Answer:
the answer=C.16>-10
Step-by-step explanation:
sixteen is more than Negative ten
Which equation represents the graphed function?
O y=-3x + 3
O y = 3x - 3
O y = 3x - 1
O y=-x+3
Answer:
y = -⅓x + 3
Step-by-step explanation:
To find the equation of the graph in the form of y = mx + b (slope-intercept form), we have to find the slope (m) and the y-intercept (b) of the graph:
Slope (m) = change in y/change in x
Slope (m) using the two points on the line, (0, 3) and (3, 2):
m = (2 - 3)/(3 - 0) = -1/3
m = -⅓
y-intercept (b) = 3 (the y-axis is intercepted at this point)
✔️To write the equation, substitute m = -⅓ and b = 3 into y = mx + b:
Thus,
y = -⅓x + 3
What is the probability that the sun will be hot next hour
Answer:
100%
Step-by-step explanation:
its always very very hot.
㏒1/2(x²-5x+7)=0 hihihihihihih
Answer:
?????
Step-by-step explanation:
????
asaan ang sasagutan
I NEED HELP WITH MY HOMEWORK ASAP!!!!
I dont get it :(
Simplify the expression by distributing. 4(w+8)
a)4w + 8
b)12w
с)4w + 32
d)4(8 + W)
Answer:
Option C
4w + 4(8)
=4w + 32.
Look at the cone above. If r = 4 cm and h = 4 cm, what is the volume of the cone? (Assume = 3.14) A. 64 cm3 B. 66.99 cm3 C. 64 cm2 D. 100.53 cm3
Answer:
66.99 cm³
Step-by-step explanation:
the volume = ⅓× 3.14 × 4²× 4 = 3.14 × 64/ 3
= 66.99 cm³
If John were to create a scatterplot, all of the following will be characteristics of correlation EXCEPT ___________.
Answer:
The answer is "Amount of daily sales at any given temperature".
Step-by-step explanation:
John, an ice-cream saloon's proprietor, gathers ice-cream day-to-day sales data in regards to the everyday temp.
When John wants to make a dispersal plot, the follows will be correlation qualities except for the number of transactions a day at any specific temperature.
Its strength, degree, or direction can be estimated by association, however, the number of daily sales cannot be measured by dispersion at any given temperature.
Which of the following is not an undefined term?
point
ray
plane
line
Answer:
point line and plane
Step-by-step explanation:
they are not an undefined term
The solution to the system of equations is (0, 4).
(PIC 1)
TRUE or FALSE
The solution to the system graphed below is (1, -2).
(PIC 2)
TRUE OR FALSE
Answer:
1 is false
2 is true
Step-by-step explanation:
The solution is the coordinate where the two lines intersect
For the first image the two lines intersect at (3,5) therefore (0,4) is not a solution to the system of equations
For the second image the lines intersect at (1,-2) therefore the statement is true
The number of rainbow smelt in Lake Michigan had an average rate of change of −19.76 per year between 1990 and 2000. The bloater fish population had an average rate of change of −92.57 per year during the same time. If the initial population of rainbow smelt was 227 and the initial population of bloater fish was 1,052, after how many years were the two populations equal?
The linear function that models the population of rainbow smelt is y1 = −19.76x + 227, where
x = the years since 1990 and y1 = the number of rainbow smelt.
The linear function that models the population of bloater fish is y2 =
.
The linear equation that determines when the two populations were equal is
.
The solution is x =
years.
Answer:
y2 = - 92.57x + 1052 ;
11.331 years
Step-by-step explanation:
Given that :
The linear function that models the population of rainbow smelt is y1 = −19.76x + 227, where
x = the years since 1990 and y1 = the number of rainbow smelt.
The linear function that models the population of boater fish is :
Rate of change, slope = - 92.57 ; initial population, intercept = 1052
Representing the equation in the form ;
y = bx + c
b = slope or rate of change ; c = intercept
y2 = - 92.57x + 1052
To express equality :
y1 = y2
- 19.76x + 227 = - 92.57x + 1052
Collect like terms :
-19.76x + 92.57x = 1052 - 227
72.81x = 825
x = 825 / 72.81
x = 11.331 years
y2 = –92.57x + 1,052
–19.76x + 227 = –92.57x + 1052
11.33
Find the measure of the missing angle
Answer: a=
Answer:
C + 88 = 180
-88 -88
C and B = 92
Since C is vertical to B that means both values are the same. Therefore the values of c and b is 92 degrees.
G P
2 3
S I
2 8
Q E
2 ??
Answer:
yea i dont know this one bro gp 23 si 28
Step-by-step explanation:
2. Name the numerator and the denominator in each fraction.
a.
11/12
b. 7512
C.
12/0
d. ²8
Answer:
Step-by-step explanation:
a.11/12 =11 is numerator and 12 is denominator
b.7/512 =75 is numerator and 512 is denominator
c.12/10 = 12 is numerator and 10 is denominator
d0/78 = 0 is numerator and 78 is denominator
point to remember : In fraction,upper part is always numerator and down part is denominator.
Write a system of equations to describe the situation below, solve using substitution, and fill in the
blanks
Whitney wrote a business plan for an entrepreneurship class, and now she has to make bound
copies. Whitney could use a printer who charges a setup fee of $44 and $7 for every copy printed.
Another possibility is to go to the office supply store, where she could pay an up-front fee of $34
and $8 per copy. There is a certain number of copies that makes the two options equivalent in
terms of cost. How many copies is that? How much would the copies cost?
For
copies, the cost is $
Can u help me please??
Answer:
Let C represent the total cost of each deal
Let T be the number of trips down the water slide
C = 32 for the 1st deal since the cost is the same regardless of how much she rides
C = 18 + T for the 2nd deal
To find when the two costs are equal set them equal to each other and solve for T
32 = 18 + T
T = 14 trips
The cost must be $32 since that is the only cost possible for the 1st deal
Step-by-step explanation:
The amounts of money Brittany earned each week from babysitting for 5 weeks are $12, $62, $70, $54, and $62. The mean amount earned is $52 and the median amount earned is $62. Identify the outlier and describe how the mean and median are affected by it.
Answer:
The outlier is $12, results in a decrease in the mean. Outliers have little influence on the median.
If you actually calculate and try and find an outlier, this dataset doesn't have one. But I'm going to assume they're just looking for an extreme number in the set since it clearly says to identify it
The requried outlier is $12 and it significantly affects the mean by lowering it, but it does not affect the median.
What is the median?When a dataset is ordered, the median is the value that is exactly in the middle. It is a measure of central tendency that distinguishes between the lowest and top 50% of data.
Here,
The outlier in this data set is the first observation of $12, which is significantly lower than the rest of the values.
The mean is calculated by adding all the values and dividing by the number of values. In this case, the mean is:
$12 + $62 + $70 + $54 + $62 = $260
$260 ÷ 5 = $52
When the outlier of $12 is included in the calculation, it significantly lowers the mean.
The median is the middle value when the data set is arranged in order from least to greatest. In this case, the median is $62, which is not affected by the outlier of $12.
Therefore, the outlier is $12 and it significantly affects the mean by lowering it, but it does not affect the median.
Learn more about medians here:
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Find the equation of the line.
Answer:
y= x - 5
Step-by-step explanation:
The equation of a line is generally y=mx+b.
m= the slope, b= the y-intercept
By looking at the graph we can see the line intercepts the x-axis at (5,0) and the y-axis at (0,-5). With these two points, you can find the slope with the slope formula:
m=y2−y1/x2−x1
Plug in (5,0) and (0,-5):
m= -5 - 0 / 0 - 5
m = -5/-5
m = 1
The slope is equal to 1. You can also confirm this by looking at the graph where the line intercepts each point "up one point, over one point." This is known as the "rise over run."
Now the y-intercept or "b" in the equation is (-5) since the other point has a y-intercept of 0.
So plug these numbers into the line equation, y=mx+b:
m= 1
b= -5
y= mx+5
y= (1)x + (- 5)
y= x - 5
Voila!
The equation of the line is equal to y= x - 5
The general equation of a line is;
y=mx+b.
Where m= the slope, b= the y-intercept
Since we can see the line intercepts the x-axis at (5,0) and the y-axis at (0,-5). With these two points, we can find the slope with the slope formula:
[tex]m=(y_2-y_1)/(x_2-x_1)[/tex]
Substitute in (5,0) and (0,-5)
m= -5 - 0 / 0 - 5
m = -5/-5
m = 1
Now the y-intercept or "b" in the equation is (-5) since the other point has a y-intercept of 0.
So, substitute numbers into the line equation, y=mx+b:
y= mx+5
y= (1)x + (- 5)
y= x - 5
Learn more about linear equations;
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