Answers
Answer:
[tex]h=\sqrt{1.44}\\h = 1.2[/tex]
Step-by-step explanation:
Base of the triangle on the left = 0.5
Use pythagorean theorem
[tex]a^{2} + b^{2} = c^{2}[/tex]
Substitute
[tex]0.5^{2} + b^{2} = 1.3^{2}[/tex]
[tex]b^{2} = 1.3^2 - 0.5^2[/tex]
[tex]b^2 = 1.44[/tex]
[tex]b = \sqrt{1.44} \\[/tex]
[tex]b = 1.2[/tex]
in this case b is the height
so
[tex]h=\sqrt{1.44}\\h = 1.2[/tex]
Related Questions
Two people took turns tossing a fair die until one of them tossed a 6. PersonA tossed first, B second, A third, and so on. Given that person B threw the first 6, whatis the probability that B obtained the first 6 on her second toss (that is, on the fourth tossoverall)?
Answers
Answer: 0.0965
Step-by-step explanation:
This would happen if:
First toss: Here we must have any number that is not 6.
the options are 1, 2, 3, 4, 5 so the probablity is p1 = 5/6
The same happens for the second toss, p2 = 5/6
and for the third one: p3 = 5/6
for the fourth toss, person B must roll a 6, so the probability here is p4 = 1/6
Now, the joint probability is equal to the product of the probabilities for each toss, this is:
P = p1*p2*p3*p4 = (5/6)^3*(1/6) = 0.0965
algebra parabola question see picture above
Answers
Answer:
see below
Step-by-step explanation:
(-1, -9) is a vertex or minimum.
(-4, 0) is an x-intercept / zero of the function / solution
(2, 0) is also an x-intercept / zero of the function / solution
The parabola has a minimum.
The distance between (2, 3) and (1,7) is:
Answers
Answer:
[tex] \sqrt{17}\: units [/tex]
Step-by-step explanation:
[tex]d = \sqrt{ {(2 - 1)}^{2} + {(3 - 7)}^{2} } \\ \\ = \sqrt{ {(1)}^{2} + {( - 4)}^{2} } \\ \\ = \sqrt{ 1 + 16 } \\ \\ d= \sqrt{17} \\ [/tex]
Answer:
d=√17≈4.12310562561766
Step-by-step explanation:
Sander bought 5 bags of nuts. Each bag costs $5.69.
How much did Sander spend for the nuts?
Enter your answer in the box.
Answers
Answer:
28.45.
Step-by-step explanation:
5 x 5.69
What is the value of n ??????????
Answers
Answer:
it's b 59° because it's at the side
HELP PLEASE!!!!!!!!!!!!!!
Answers
Answer:
Savannah
Step-by-step explanation:
Emery has solved it incorrectly;
x = 100
One vertex of a triangle is located at (0, 5) on a coordinate grid. After a transformation, the vertex is located at (5, 0). Which transformations could have taken place? Select two options. R0, 90° R0, 180° R0, 270° R0, –90° R0, –180°
Answers
Answer:
The Transformations are R(O , -90°) & R(O , 270)
Step-by-step explanation:
* Lets revise the rotation of a point
- If point (x , y) rotated about the origin by angle 90° anti-clock wise
∴ Its image is (-y , x)
- If point (x , y) rotated about the origin by angle 90° clock wise
(270° anti-clockwise or -90°)
∴ Its image is (y , -x)
- If point (x , y) rotated about the origin by angle 180°
∴ Its image is (-x , -y)
* There is no difference between rotating 180° clockwise (-180°) or
anti-clockwise (180°) around the origin
* Lets solve the problem
∵ One vertex of a triangle is located at (0, 5) on a coordinate grid
∵ The image of the point after the transformation is (5 , 0)
- The coordinates are switched with each other
∴ There is no rotation with 180° or -180° because in the rotation with
180° and -180° around the origin we change only the signs of the
coordinates without switch them
∴ There is a rotation with 90° are 270° or -90°
- The zero has no sign
- When we rotate the point (0 , 5) by -90° or 270° around the origin
we will change the sign of x-coordinate and switch the two
coordinates
∴ The image of the point is (y , -x)
∵ x = 0 and y = 5
- There is no sign for zero, so we switch the coordinates only
∴ The vertex is located at (5, 0)
∴ The Transformations are R(O , -90°) & R(O , 270)
Answer:
R(O , -90°) & R(O , 270)
Step-by-step explanation:
Dan buys a car for £2300. It depreciates at a rate of 0.2% per year. How much will it be worth in 6 years? Give your answer to the nearest penny where appropriate.
Answers
9514 1404 393
Answer:
£2272.54
Step-by-step explanation:
An equation for the value is ...
v = £2300(0.998^t)
Then for t=6, the value is ...
v = £2272.54
_____
Additional comment
The growth factor (0.998) is (1 - decay rate) = (1 -0.002).
Answer:
the answer is 2272.54
Step-by-step explanation:
:))
12
? Select three options.
Which phrases can be represented by the algebraic expression
W
12 divided by a number
the quotient of 12 and a number
a number divided by 12
a number divided into 12
the product of 12 and a number
Answers
Answer:
Step-by-step explanation: its 24
1,2,5
Step-by-step explanation:
prove each identify
cos X(tanX+cotX) =cscX
Answers
Answer:
Step-by-step explanation:
cos X(tanX+cotX) =cscX
cos X(sinx/cosx +cosx/sinx) =cscx
cos X (sin²+cos²/cossin)=cscx
cosx(1/cossin)=cscx
cross out cosines
1/sinx=cscx
A city has 5 new houses for every 7 old houses. If there are 45 new houses in the city, how many old houses are there?
Answers
Answer:
63
Step-by-step explanation:
Make a ratio:
5 : 7 = 45 : x
x = 63
Complete the synthetic division problem below.
2 1 6 -16
What is the quotient in polynomial form?
Answers
Answer: x + 8
Step-by-step explanation:
The required quotient in polynomial form is x + 8.
To determine the synthetic division of 2 | 1 6 -16 and quotient in polynomial function.
It is a method for performing division of polynomials, with little writing and lesser calculations than complex division.
2 | 1 6 -16
+2 +16
1 8 0
Its quotient in polynomial form is given as x + 8
Thus, The required quotient in polynomial form is x + 8.
Learn more about synthetic divisions here:
https://brainly.com/question/11850611
#SPJ5
Suppose a population of rodents satisfies the differential equation dP 2 kP dt = . Initially there are P (0 2 ) = rodents, and their number is increasing at the rate of 1 dP dt = rodent per month when there are P = 10 rodents. How long will it take for this population to grow to
Answers
Answer:
Suppose a population of rodents satisfies the differential equation dP 2 kP dt = . Initially there are P (0 2 ) = rodents, and their number is increasing at the rate of 1 dP dt = rodent per month when there are P = 10 rodents.
How long will it take for this population to grow to a hundred rodents? To a thousand rodents?
Step-by-step explanation:
Use the initial condition when dp/dt = 1, p = 10 to get k;
[tex]\frac{dp}{dt} =kp^2\\\\1=k(10)^2\\\\k=\frac{1}{100}[/tex]
Seperate the differential equation and solve for the constant C.
[tex]\frac{dp}{p^2}=kdt\\\\-\frac{1}{p}=kt+C\\\\\frac{1}{p}=-kt+C\\\\p=-\frac{1}{kt+C} \\\\2=-\frac{1}{0+C}\\\\-\frac{1}{2}=C\\\\p(t)=-\frac{1}{\frac{t}{100}-\frac{1}{2} }\\\\p(t)=-\frac{1}{\frac{2t-100}{200} }\\\\-\frac{200}{2t-100}[/tex]
You have 100 rodents when:
[tex]100=-\frac{200}{2t-100} \\\\2t-100=-\frac{200}{100} \\\\2t=98\\\\t=49\ months[/tex]
You have 1000 rodents when:
[tex]1000=-\frac{200}{2t-100} \\\\2t-100=-\frac{200}{1000} \\\\2t=99.8\\\\t=49.9\ months[/tex]
Please answer this correctly
Answers
Answer:
629
Step-by-step explanation:
l x w
25x14
4x7
12x18
5x7
629
You have 10 shirts 2 of them are black what is the probability of not choosing a black shirt.
Answers
Since there are 2 blacks shirts and 10 in total the probability is of not poking a black shirt is 8/10 which when reduced is 4/5
Answer:
80% or 4/5
Step-by-step explanation:
the probability of not choosing a black shirt
P = number of shirts that are not black ÷ total number of shirts
Total number of shirts = 10
Number of black shirts = 2
Number of shirts that are not black = 10-2 = 8
P = 8/10 = 4/5 or 80%
Please help. Only if you know how to do this . I’ll mark you as brainliest if correct.
Answers
[tex]answer \\ g(x) = |x - 2| + 1 \\ here \: f(x) = |x| \\ if \: we \: want \: to \: shift \: this \: function \: 2 \: \\ unit \: right \: then \: make \: transformation \\ \: of \: x \: by \: (x - 2) \\ and \: if \: we \: want \: to \: make \: function \: \\ goes \: up \: with \: 1 \: unit \: then \: transformation \\ is \: f(x) \: by \: f(x) + 1 \\ now \\ g(x) = |x - 2| + 1 \\ hope \: it \: helps[/tex]
5. A company sells small, colored binder clips in packages of 20 and offers a money-back guarantee if two or more of the clips are defective. Suppose a clip is defective with probability 0.01, independently of other clips. Let X denote the number of defective clips in a package of 20. (a) The distribution of the random variable X is (choose one) (i) binomial (ii) hypergeometric (iii) negative binomial (iv) Poisson. (b) Specify the value of the parameter(s) of the chosen distribution and find the probability that a package sold will be refunded.
Answers
Answer:
a) Binomial.
b) n=20, p=0.01, k≥2
The probability hat a package sold will be refunded is P=0.0169.
Step-by-step explanation:
a) We know that
the defective probability is constant and independent.the sample size is bigger than one subject.The most appropiate distribution to represent this random variable is the binomial.
b) The parameters are:
Sample size (amount of clips in the package): n=20Probability of defective clips: p=0.01.number of defective clips that trigger the money-back guarantee: k≥2The probability of the package being refunded can be calculated as:
[tex]P(x\geq2)=1-(P(x=0)+P(x=1))\\\\\\P(x=k) = \dbinom{n}{k} p^{k}q^{n-k}\\\\\\P(x=0) = \dbinom{20}{0} p^{0}q^{20}=1*1*0.8179=0.8179\\\\\\P(x=1) = \dbinom{20}{1} p^{1}q^{19}=20*0.01*0.8262=0.1652\\\\\\P(x\geq2)=1-(0.8179+0.1652)=1-0.9831=0.0169[/tex]
Ryan remembers numbers using images that look somewhat like each number: 0 is a ball, 1 is a stick, 2 is a hanger, 3 is a comb, 4 is a kite, etc. Ryan remembered a 4-digit phone extension with this story: A person uses a hanger to pop a ball, then flies two kites. What number is Ryan likely remembering? (1) 2044 or (2) 2042 (3) 2004 or (4) 2204
Answers
Answer:
2044
Step-by-step explanation:
just follow the story
a person uses a
hanger (2)
to pop a
ball (0)
then flies
two kites (44)
Answer:
1). 2044
Step-by-step explanation:
The story includes: a hanger, a ball, and two kites (in that order)
From the information given, a hanger is 2, a ball is 0, and a kite is 4.
So it would be 2044.
Landes is a sales representative for a company. She earns a basic pay of $2,750 a month plus commission of 1.5%. How much does Landes [now that the moderators are gone just answer this question and claim points lol]
Answers
Answer:
2,748.5
Step-by-step explanation:
Answer:
thank uuu
Step-by-step explanation:
3. (03.06)
Choose the point-slope form of the equation below that represents the line that passes through the points (-6, 4) and (2,0). (2 points)
Answers
Answer:
work is shown and pictured
Fraction - Subtrction : 15 5/11 - 7 3/12
Answers
Answer:
[tex]= 8 \frac{27}{132} = 8\frac{9}{44}\\ [/tex]
Step-by-step explanation:
[tex]15 \frac{5}{11} - 7 \frac{3}{12} \\ \frac{170}{11} - \frac{87}{12} \\ \frac{2040 - 957}{132} \\ = \frac{1083}{132} \\ = 8 \frac{27}{132} [/tex]
hope this helps
brainliest appreciated
good luck! have a nice day!
Answer:
8 9/44.
Step-by-step explanation:
15 5/11 - 7 3/12
= 15 - 7 + 5/11 - 1/4 The LCD of 4 and 11 is 44 so we have:
15 - 7 + 20/44 - 11/44
= 8 + 9/44
= 8 9/44.
What graph is the function y= -2 cos20
Answers
Answer:
Step-by-step explanation:
help me................
Answers
Answer:
x = 5. y = 4
Step-by-step explanation:
7x - 4 = 31
7x = 35
x = 5
4y + 8 = 24
4y = 16
y = 4
7x-4=31. 4y+8=24
+4. +4. -8 -8
7x=35. 4y=16
/7 /7. /4. /4
X=5. Y=4
If a graph of y=-9x+ 3 were changed to a graph of y=-9x + 1, how would the
y-intercept change?
Answers
Answer:
y-intercept decreased by 3-1= 2 points
Step-by-step explanation:
y=-9x+ 3 ⇒ y-intercept= 3
y=-9x + 1 ⇒ y-intercept= 1
y-intercept decreased by 3-1= 2 points = the line shifted down by 2 points
Answer:
Hello!
Answer: y-intercept decreased by 2 points because 3-1=2
I hope I was of help. If not, please let me know! Thanks!
Step-by-step explanation:
In Georgetown, the library is 8 miles due south of the courthouse and 6 miles due west of the community swimming pool. What is the distance between the courthouse and the community swimming pool?
Answers
Answer:
10 miles
Step-by-step explanation:
tree points form a right triangle with sides 8, 6 and x
x is the hypotenuse of the triangle
x²=8²+6²=100
x=√100=10 miles
Write the equation of a line that is perpendicular to y= -x - 6 and that passes through the point (-9, -4).
Answers
Answer:
y = x + 5
Step-by-step explanation:
Perpendicular slope is opposite inverse so the perpendicular slope to -1x would be 1x
Then find b in y=mx+b
Plug in all the number
y=-9
x=-4
m=1
So, -4=1(-9)+b
1×-9=-9
+9 to both sides
5=b
Therefore,
y=x+5
Classify the following triangle check all that apply. 98,41,41
Answers
Answer:
B. Isosceles triangle
Answer: obtuse and isosceles <3
Step-by-step explanation:
Richard and Stephen win some money and share it in the ratio 6:1. Richard gets £60 more than Stephen. How much did they get altogether?
Answers
Answer:
They got £84 altogether.
Step-by-step explanation:
We can see that Richard get's 6 parts and Stephen gets 1 part. We can subtract these two to get 5 parts. We know that five parts equals £60, so we can divide by 5 to get 1 part equals £12. We are looking for the amount they got altogether, which is equal to 7 parts, 6 parts + 1 part. We multiply £12 by 7, leaving us with £84, which is our answer.
A machine produces 576 units in 18 hours at this rate how many will it produce in 28 hours
Answers
Answer: 896
Step-by-step explanation:
Let's use a rule of three here.
[tex]\frac{576}{x}=\frac{18}{28}[/tex]
Solve for x;
[tex]x=\frac{576*28}{18}[/tex]
[tex]x=896[/tex]
1. If the ratio of the ages of Kissi and Esinam is 3:5 and that of Esinam and Lariba is 3:5 and
the sum of the ages of all 3 is 147 years, what is the age difference between oldest the
youngest?
Answers
Answer:
37 years difference.
Step-by-step explanation:
K = Kissi
k = Age of Kissi
E = Esinam
e = Age of Esinam
L = Lariba
l = Age of Lariba
k + e + l = 147
K : E
3 : 5 → (×3) → 12 : 15
E : L
3 : 5 → (×5) → 15 : 25
K : E : L
12 : 15 : 25
12 + 15 + 25 = 52
147/52 = 2.8269...
K is the young since out of the three part ratio, 12 is the smallest and likewise, L is the oldest.
k = 12 × 2.8269... = 33.923... → 34 y/o
e = 15 × 2.8269... = 42.40... → 42 y/o
l = 25 × 2.8269... = 70.673... → 71 y/o
∴ The difference between the youngest and oldest is:
71 - 34 = 37
