Jack has let out 40 m of kite string when he observes that his kite is directly above Jill. If Jack is 25 m from Jill, how high is the kite?
Answer:
Use this formula:
A^2 + B^2 = C^2
40 is the hypotenuse of the triangle:
A^2 + 25^2 = 40^2
A=31.2 meters (Approx)
What is the pattern in the numbers 1,8,27,64
Answer:
3
Step-by-step explanation:
he pattern is continued by adding 3 to the last number each time, like this: 1, 8, 27, 64, 125, 216, 343, 512, 729
f(X)=3x+7, find f(10)
Answer:
37
Step-by-step explanation:
Sorry if this is wong I haven't done these in awhile, but this is how I got it.
f(X)=3x+7
f(10)=3(10) +7
f(10)=30 +7
f(10)=37
Answer:
f(10)=37
Step-by-step explanation:
f(x)=3x+7
(for f(10) we sub 10 for x)
f(10)=3×10+7
=30+7
=37
Can you guys help me to find the measure of each angle tysm.
Answer:
∠EBF = 51°
∠DBE = 17°
∠ABF = 141°
∠EBA = 90°
∠DBC = 107°
∠DBF = 68°
Step-by-step explanation:
Hope this helps
Answer:
1.
a. m<EBF = 90 - 39 = 51
b. m<EBA = 90
c. m<DBE = 90 - 73 = 17
d. m<DBC = 90 + 17 = 107
e. m<ABF = 90 + 51 = 141
f. m<DBF = 17 + 51 = 68
2.
<ABD, <DBE, <EBF, <FBC, <DBF
3.
<ABF, <DBC
4.
<ABE, <EBC
In a genetics class, 6 students have GREEN eyes, 3 students have BLUE eyes, and 11 have HAZEL eyes. If a single student is picked at random, what is the probability that their eyes are GREEN or HAZEL?
17/20 is the probability that their eyes are green or Hafzel.
What is Probability?It is a branch of mathematics that deals with the occurrence of a random event.
Given,
The number of students having Green eyes =6
The number of students having Blue eyes =3
The number of students having Hafzel eyes =11
The total number of students=11+3+6
=20
The probability that their eyes are green is 6/20
The probability that their eyes are Hafzel is 11/20
The probability that their eyes are green or Hafzel
6/20 + 11/20
= 17/20
Hence, 17/20 is the probability that their eyes are green or Hafzel.
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prime factorization of 60 error
Answer:
2*2*3*5
Step-by-step explanation:
Round 17.68694 to the nearest tenth
Answer:
17.7
Step-by-step explanation:
The tenths place is the very first value after the decimal. The number 17.68694 rounds up to 17.7, because .68 is closer to .7 than it is to .6.
Look at the figure. If ∆LMC ≅ ∆BJK, then _____ ≅ ∆KB
A. BJ
B. CM
C. ML
D. CL
If ∆LMC ≅ ∆BJK, then ∆CL ≅ ∆KB. so the correct option is D.
What is the congruent triangle?Two triangles are said to be congruent if the length of the sides is equal, a measure of the angles are equal and they can be superimposed.
We have been given that ∆LMC ≅ ∆BJK.
The image of the triangles are attached below;
The triangle are congruent to each other so,
∆LMC ≅ ∆BJK
∆LM ≅ ∆BJ
∆LC ≅ ∆BK
∆MC ≅ ∆JK
Thus, ∆LC ≅ ∆BK so the correct option is D.
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If the sum of three consecutive numbers is 852, what is the middle one?
it should be 3 and 3 is the the right answer
The required middle number is 284 and the three consecutive numbers would be 283, 284, and 285 respectively.
What is the number system?A number system is defined as a way to represent numbers on the number line using a set of symbols and approaches. These symbols, which are known as digits, are numbered 0 through 9. Based on the basic value of its digits, different types of number systems exist.
Let the three consecutive numbers would be x, x + 1, x + 2 respectively
Given that the sum of three consecutive numbers is 852
⇒ x + x + 1 + x + 2 = 852
⇒ 3x + 3 = 852
⇒ 3x = 852 - 3
⇒ 3x = 849
⇒ x = 849/3
⇒ x = 283
So the three consecutive numbers would be 283, 284, and 285 respectively.
Therefore, the required middle number is 284.
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Part b at the airport to walk from the car to the waiting area by the gate was
Answer:
24
Step-by-step explanation:
Answer:
24
Step-by-step explanation:
make a table and graph the solutions of each equation y=3x+1
Answer:
i can't graph it but i'll give you the points to graph
Step-by-step explanation:
(-2, -5) (-1,-2) (0,1) (1,4) (2,7)
start at the point in bold
Is it -56/65????????????????
Answer:
[tex] \cos (u + v) = -\dfrac{56}{65} [/tex]
Good job!
Step-by-step explanation:
[tex] \cos (u + v) = \cos u \cos v - \sin u \sin v [/tex]
[tex] \sin u = -\dfrac{3}{5} [/tex]; u is in QIII.
That makes [tex] \cos u = -\dfrac{4}{5} [/tex]
[tex] \sin v = -\dfrac{12}{13} [/tex]; v is in QIV.
That makes [tex] \cos v = \dfrac{5}{13} [/tex]
[tex] \cos (u + v) = (-\dfrac{4}{5})(\dfrac{5}{13}) - (-\dfrac{3}{5})(-\dfrac{12}{13}) [/tex]
[tex] \cos (u + v) = -\dfrac{20}{65} - \dfrac{36}{65} [/tex]
[tex] \cos (u + v) = -\dfrac{56}{65} [/tex]
You are correct.
Answer:
Step-by-step explanation:
-0.8615
What are the coefficients of this expression 7a+23b +2c + 16
Answer:
Step-by-step explanation:
A coefficient is basically the number infront of a variable or term.
E.g. the coefficient in 7x is 7
The coefficient in 23y is 23
The coefficient in 43a is 43.
So for your question: 7a + 23b + 2c + 16,
The coefficients are 7, 23 and 2
What is the inverse of f(x) =1/3x+2
Which ratios approximate pi ()?
Select all the ratios that approximate pi ().
A.
66:21
B.
60:20
C.
21:7
D.
45:15
E.
22:7
9514 1404 393
Answer:
A: 66/21
E: 22/7
Step-by-step explanation:
The offered choices reduce to 3 1/7 or to 3. The best approximations of those given are the ones that reduce to 3 1/7.
A: 66/21 = 22/7 = 3 1/7
B: 60/20 = 3
C: 21/7 = 3
D: 45/15 = 3
E: 22/7 = 3 1/7
___
Comment on pi approximations
The ratio 22/7 differs from π by about 0.04%. A better approximation is 355/113, which differs from π by about 0.000008%. The approximation 3.14 differs from π by about 0.05%.
If possible, express each of the following as the sum of a perfect square and a prime number. Give all possible answers and explain how you found them. . 21 28. 52. 68 . 13 . 20
Answer:
4^2 + 5 = 21, 5^2 + 3 = 28, 7^2 + 3 = 52, 3^2 + 43 = 52, 7^2 + 19 = 68, 3^2 + 11 = 20, 1^2+19 = 20. I can't find a prime number and a perfect square that sums to 13.
Explanation:
these are primarily derived by finding the closest perfect square to a number and finding the difference to make the sum work, or finding the simplest prime number that will reduce the number which is a multiple of a perfect square.
ONE OF THE COLDEST TEMPERTURES EVER RECORDED WAS -128F IN ANTARCTICA. ONE OF THE WARMEST TEMPERATURES EVER RECORDED WAS 134 DEGREES FAHRENHEIT IN DEATH VALLET CALIFORNIA. HOW MANY DEGRESS DIFFERENCE ARE THERE BETWEEN THE COLDEST AND WARMEST RECORDED OUTSIDE TEMPERTURE
Answer:
271 degrees
Step-by-step explanation:
143-(-128)=143+128=271 degrees
Soft drinks are often sold in six-packs of 12-ounce cans and in 2-liter bottles. A liter is about 33.8 fluid ounces.
Which is the greater volume: a six-pack or 2 liters?
A store offers a 2-liter bottle of soft drink for $1.31 and a six-pack of 12-ounce cans for $1.37. Which is the better value (based on price per ounce)?
Answer:
List some of the given data:
1 L = 33.8 oz.
A) Which one has more volume?
In a six-pack, each can has 12 oz.
Then in total, this is:
6*12oz = 72oz.
In one liter we have 33.8 oz.
Then in two liters, we have two times that:
2L = 2*33.8 oz = 67.7 oz.
Then the sixpack has more volume.
B) Which one has more value?
Here we must divide the volume by the price:
Six-pack:
Volume = 72 oz.
Price = $1.37
Ratio = 72oz/$1.37 = 52.55 oz/$.
2L bottle:
Volume = 67.7 oz
Price = $1.31
Ratio = 67.7oz/$1.31 = 51.68 oz/$.
You can see that the ratio is larger in the case of the six-pack, this means that you get more ounces for each dollar.
Let f and g be the functions defined by f(t) = 2t2 and g(t) = t3 + 4t.
1) Determine f'(t) and g′(t).
2) Let p(t) = 2t2 (t3 + 4t) and observe that p(t) = f(t) ⋅ g(t). Re-write the formula for p by distributing the 2t2 term. Then, compute p′(t) using the sum and constant multiple rules.
3) p′(t) = f′(t) ⋅ g′(t).
A. True
B. False
4) Let q(t) = t3 + 4t2/2t2 and observe that q(t) = g(t)/f(t). Rewrite the formula for q by dividing each term in the numerator by the denominator and simplify to write q as a sum of constant multiples of powers of t. Then, compute q′(t) using the sum and constant multiple rules.
5) q′(t) = g′(t)/f'(t).
A. True
B. False
Answer:
1) [tex]f'(t)=4t,\ g'(t)=3t^2+4[/tex]
2) [tex]p(t) =2t^5+8t^3[/tex]
[tex]p'(t)=10t^4+24t^2[/tex]
3) False
4)[tex]q(t) =\dfrac{1}{2}t+2t^{-1}[/tex]
[tex]q'(t)=\dfrac{1}{2}-\dfrac{2}{t^2}[/tex]
5) False
Step-by-step explanation:
Given that:
[tex]f(t) = 2t^2[/tex] and [tex]g(t) = t^3 + 4t[/tex]
Formula:
[tex]1. \dfrac{d}{dx}x^n=nx^{n-1}[/tex]
[tex]2. \dfrac{d}{dx}C.f(x)=C.f'(x)\ \{\text{C is a constant}\}[/tex]
1) Using above formula:
[tex]f'(t)=2\times 2 t^{2-1}=4t[/tex]
[tex]g'(t)=3t^{3-1}+4\times 1 t^{1-1}=3t^2+4[/tex]
2) [tex]p(t) =2t^2(t^3+4t)[/tex]
Rewriting the formula by distributing the [tex]2t^2[/tex] term:
[tex]p(t) =2t^2.t^3+2t^2.4t=2t^5+8t^3[/tex]
[tex]p'(t) = 10t^4+24t^2[/tex]
3) By using answers of part (1):
[tex]f'(t).g'(t)=12t^3+16t[/tex]
[tex]p'(t) = 10t^4+24t^2[/tex]
Therefore it is False that [tex]p'(t) = f'(t).g'(t)[/tex]
4) [tex]q(t)=\dfrac{t^3+4t}{2t^2}[/tex]
Writing by distributing:
[tex]q(t)=\dfrac{t^3}{2t^2}+\dfrac{4t}{2t^2}\\\Rightarrow q(t) =\dfrac{t}{2}+\dfrac{2}{t}\\\Rightarrow q(t) =\dfrac{1}{2}t+2t^{-1}[/tex]
Using the formula:
[tex]q'(t)=\dfrac{1}{2}t^{1-1}+2\dfrac{-1}{t^2}\\\Rightarrow q'(t)=\dfrac{1}{2}-\dfrac{2}{t^2}[/tex]
(5)By using answers in part (1):
[tex]\dfrac{g'(t)}{f'(t)}=\dfrac{3t^2+4}{4t}=\dfrac{3}{4}t+\dfrac{1}t[/tex]
[tex]q'(t)=\dfrac{1}{2}-\dfrac{2}{t^2}[/tex]
Therefore, it is False that:
[tex]q'(t)=\dfrac{g'(t)}{f'(t)}[/tex]
Linear combination of matrices .
Multiplying a matrix by a scalar is equivalent to multiplying each entry in the matrix by that scalar:
[tex]A=\begin{bmatrix}0&-3\\-5&5\end{bmatrix}\implies3A=\begin{bmatrix}0&-9\\-15&15\end{bmatrix}[/tex]
[tex]B=\begin{bmatrix}-2&-6\\2&5\end{bmatrix}\implies-6B=\begin{bmatrix}12&36\\-12&-30\end{bmatrix}[/tex]
Now combine them:
[tex]3A-6B=3A+(-6B)=\begin{bmatrix}0+12&-9+36\\-15+(-12)&15+(-30)\end{bmatrix}=\begin{bmatrix}12&27\\-27&-15\end{bmatrix}[/tex]
Look at the incomplete multiplication problem below.
638 times 56 = 3828. 3828 + question mark = blank
What value is missing?
31,500
31,900
35,280
35,728
Answer:
B
Step-by-step explanation:
salome tiene 4 veces la edad de esmeralda.si ambas edades suman 75 años¿que edad tiene cada una?
ayuda nose ayudaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaa
486 inches 162 inches 4 1/2 yards ?
Answer:
486 inches is 13.5 yards and 162 inches is 4.5 yards please mark brainlist thank you
Translate the sentence into an equation.
Twice the difference of a number and 2 equals 6.
Use the variable b for the unknown number.
Answer:
b + 2 = 6
Step-by-step explanation:
This may not be the right answer, but its what I think it is.
What is the solution to the inequality? 14x - 14 > -7x + 7
Answer:
X<1 or X>3/2
Step-by-step explanation:
Let xy=6 and x2 + y2 = 23 what is the value of (x+y)??
Answer:
I'll assume that x2 = x^2 and y2 = y^2 and the answer is sqrt{35}.
Step-by-step explanation:
This problem invovles completing the square, so if I square (x+y), I get
x^2+2xy+y^2, and since xy = 6, 2xy = 12, 23+12 = 35, and your answer is sqrt{35}.
Round 555 to nearest 10
Answer: 600
Step-by-step explanation: 555
The five in the tens place is equal to 5
To round to the nearest tens place the number has to be 5 or more than 5
Do these ratios make a proportion? 4:10 and 6:15
I NEED THIS ASAP!!! Thanks!
To see if these ratios make a proportion let us first change them into fractions
= 4:10 = 4/10 = 4 ÷ 2 / 10 ÷ 2 = 2/5
= 6:15 = 6/15 = 6 ÷ 3 / 15 ÷ 3 = 2/5
= Since both these ratios are getting simplified into a same fraction , they are proportional .
Therefore , 4 : 10 :: 6 : 15 ( 4 : 10 is proportional to 6 : 15 )
Help fast fast!!! I'm begging
Answer:
28
Step-by-step explanation:
Hope this helps