Answer:
∠ABD = 56°
∠DEB = 56°
Step-by-step explanation:
∠ABE = 90 because of the tangent and radius are perpendicular
arc DE = 68° because ∠DBE = 34° (multiply by 2 to get arc)
Because EOB is a diameter the arc EDB is 180°
so 180-68=112°
arc DB = 112° Take half of that for angle DEB = 56°
second one I answered here : https://brainly.com/question/24131866
You are given that 3x cubed = 375. Find the value of X
Answer:
375 divided by 3= x. 375/3= 125, the cube root is 5. X=5
Step-by-step explanation:
hope it helped
Answer:
1. 3x^3= 375
2. =>x^3= 375/3
3. => x^3= 125
4. =>x^3=( 5)^3
5. =>x=5
Step-by-step explanation:
No explanation
I WILL MAKE YOUR ANSWER THE BRAINLIEST IF YOU KNOW IT IS RIGHT
FIND THE VOLUME OF THE CONE
Answer:
[tex]v = \pi \: r {}^{2} \: \frac{h}{3} \: = \: 3.14 \times \: 2 {}^{2} \times \frac{9}{3} = 37.68[/tex]
Step-by-step explanation:
•|◉ jess ◉|•#keep learning
What is the value of x
Answer:
x = 110
Step-by-step explanation:
The angles are alternate exterior angles and alternate exterior angles are equal when the lines are parallel
x = 110
Answer:
110°
Step-by-step explanation:
Alternate exterior angles are congruent
PLEASE HELP
A cube is a solid figure with six faces. Each face is a square. The surface area of a cube is the total area of all faces of the cube. When I increase the side length of a certain cube by 4, the surface area increases by 576. What is the volume of the original cube?
Step-by-step explanation:
the answer is in the image above
The volume of the original cube is 1000 cubic units.
What is volume of cube?The volume of a cube is equal to the product of length, width and height of a cube.
Let the length of side of the original cube = L
The surface area of the original cube A₁ = 6 L²
When increase the side length of a certain cube by 4
The surface area of the increased cube A₂ = 6 (L + 4)²
The surface area increases by 576
So, 6(L + 4)² - 6 L² = 576
6(L² + 16 + 8L) - 6 L² = 576
Divided by 6 both the sides,
L² + 16 + 8L - L² = 96
16 + 8L = 96
8L = 96 - 16
8L = 80
L = 80/8
L = 10
So, the length of side of the original cube = L = 10 units
The volume of the original cube = L³
The volume of the original cube = (10)³
The volume of the original cube = 1000 cubic units
Learn more about volume of cube here :
https://brainly.com/question/15420947
#SPJ5
If you horizontally stretch the quadratic parent function, f(x) = x^2, by a factor
of 5, what is the equation of the new function?
Answer:
New functinon is g(x) = (1/32)x^5
Step-by-step explanation:
If you horizontally stretch the quadratic parent function, f(x) = x^2, by a factor
of 5, the equation of the new function will be g(x) = (x/5)^2, or g(x) = (1/32)x^5
Which of the following is the net of a pyramid?
Answer:
The answer is A
Step-by-step explanation: a net of a pyramid will always have a square and 4 triangles around it.
Help pleaseee (pre algebra)
Answer:
Robert had 78 coins or c=78
[tex]\frac{y^2}{36} -1[/tex]
Answer:
that's my answer
Step-by-step explanation:
i hope it helps
Use differentials to estimate the amount of paint needed to apply a coat of paint 0.03 cm thick to a hemispherical dome with diameter 42 m. (Round your answer to two decimal places.) m3
Step-by-step explanation:
The volume of a hemisphere is given by :
[tex]V=\dfrac{2}{3}\pi r^3[/tex]
Taking differentiation,
[tex]\dfrac{dV}{dr}=2\pi r^2[/tex]
So,
[tex]dV=2\pi r^2\times dr[/tex]
Put r = 21 m and dr = 0.03 cm = 0.0003 m
[tex]dV=2\pi \times 21^2\times 0.0003\\\\dV=0.831\ m^3[/tex]
Hence, this is the required solution.
Simplify -|-7+4|
O 4
O -1/4
O -4
Answer:
Therefore, 7/4 simplified to lowest terms is 7/4.
Janelle subtracts -4 from a number. The results is 2. What is the number?
Answer:
-2Step-by-step explanation:
Let the number is x, then we have:
x - (-4) = 2x = 2 + (-4)x = 2 - 4x = -2What is the equation of the circle with center (−2, 5) that passes through
the point (4, −1)? Write the steps and instructions to find the equation.
Answer:
Step-by-step explanation:
the equation is 8 cause 10 equals 8
ASAP!!! Which of these graphs could represent an exponential
relation (Explain)
Answer:
B. looks like the best answer that fits this question.
If i'm wrong then my fault.
Step-by-step explanation:
When looking at choice (B) you can see it started at a decreasing point but slowly growing. Exponential relations are images or equations that describe growth and they always have the same function. If you look at the other choices you see that they either increase but then decrease or they don't match the formula for (exponential relations).
That's as good as I can do I dont knw if this what ur teacher is looking for but I tried :/
help my in this answer
Answer:
13
Step-by-step explanation:
pythagorean theorm calculator
enter the values for each leg
write the equation to the axis of symmetry for this graph. help??
A man deposits $ 14,850 into a bank, which pays 4% interest that is compounded
semiannually. What will he have in his account at the end of three years?
Given:
Principal = $14850
Rate of interest = 4% compounded semiannually.
Time = 3 years
To find:
The amount after 3 years.
Solution:
Formula for amount is:
[tex]A=P\left(1+\dfrac{r}{n}\right)^{nt}[/tex]
Where, P is principal, r is the rate of interest in decimal, n is the number of times interest compounded and t is the number of years.
The interest is compounded semiannually, so n=2.
Putting [tex]P=14850, r=4, n=2, t=3[/tex] in the above formula, we get
[tex]A=14850\left(1+\dfrac{0.04}{2}\right)^{2(3)}[/tex]
[tex]A=14850\left(1+0.02\right)^{6}[/tex]
[tex]A=14850\left(1.02\right)^{6}[/tex]
On further simplification, we get
[tex]A=14850(1.12616242)[/tex]
[tex]A=16723.511937[/tex]
[tex]A\approx 16723.51[/tex]
Therefore, the amount in the account after three years is $16723.51.
A home security system is designed to have a 90% reliability rate. Suppose that 6 home equipped with this system experience an attempted burglary. Find the probability that at least two of the alarms are triggered.
Answer:
0.999945 = 99.9945% probability that at least two of the alarms are triggered.
Step-by-step explanation:
For each alarm, there are only two possible outcomes. Either it is triggered, or it is not. The probability of an alarm being triggered is independent of any other alarm, which means that the binomial probability distribution is used to solve this question.
Binomial probability distribution
The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
In which [tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.
[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]
And p is the probability of X happening.
A home security system is designed to have a 90% reliability rate.
This means that [tex]p = 0.9[/tex]
Suppose that 6 home equipped with this system experience an attempted burglary.
This means that [tex]n = 6[/tex]
Find the probability that at least two of the alarms are triggered.
This is:
[tex]P(X \geq 2) = 1 - P(X < 2)[/tex]
In which
[tex]P(X < 2) = P(X = 0) + P(X = 1)[/tex]
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
[tex]P(X = 0) = C_{6,0}.(0.9)^{0}.(0.1)^{6} = 0.000001[/tex]
[tex]P(X = 1) = C_{6,1}.(0.9)^{1}.(0.1)^{5} = 0.000054[/tex]
[tex]P(X < 2) = P(X = 0) + P(X = 1) = 0.000001 + 0.000054 = 0.000055[/tex]
Then
[tex]P(X \geq 2) = 1 - P(X < 2) = 1 - 0.000055 = 0.999945[/tex]
0.999945 = 99.9945% probability that at least two of the alarms are triggered.
A silver bracelet weighs 106.5 grams, which is 21.3 times the weight of a silver coin.
If represents the weight of the coin, which equation can be used to find ?
Can someone plz help..
Answer:
x = 40
3x=120
x+40 = 120
Step-by-step explanation:
The angles are vertical angles which means they are equal
3x= x+80
Subtract x from each side
3x-x =x+80-x
2x = 80
Divide by 2
2x/2 = 80/2
x = 40
3x = 3(40) =120
x+80 = 40+80 = 120
Plz help me solve this thanks
Answer:
y= -6/7
Step-by-step explanation:
.............. I did it, trust me
Name two pairs of congruent angles.
ZOSQE ZPSR and
ZOSP = Pse
ZOSQE ZPSR and
ZOSP = ZOSR
Losee ZPSR and
ZPSQ E ZOSR
ZOSP= PSQ and
ZPSQ E ZOSR
ZOSP= PSQ and
ZPSQ E ZOSR
write twenty eight million, seven hundred and five thousand, one hundred and eighty five as a number?
Answer:
28,705,185
Step-by-step explanation:
The answer is 28,705,185
The solution is 28,705,185
The number is given from the equation A = 28,705,185
What is an Equation?
Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.
It demonstrates the equality of the relationship between the expressions printed on the left and right sides.
Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.
Given data ,
Let the equation be represented as A
Now , the value of A is
A = twenty eight million, seven hundred and five thousand, one hundred and eighty five
Substituting the values in the equation , we get
Twenty eight million = 28,000,000
Seven hundred and five thousand = 705,000
One hundred and eighty five = 185
Now , the value of A = 28,000,000 + 705,000 + 185
On simplifying the equation , we get
A = 28,705,185
Therefore , the value of A is 28,705,185
Hence , the number is 28,705,185
To learn more about equations click :
https://brainly.com/question/19297665
#SPJ2
An investment company advertised that last year its clients, on average, made a profit of 8% . Assuming that average refers to the mean, which of the following claims must be true based on this information?
a. This year some of their clients will make a profit of at least 8%.
b. Last year some of their clients made a profit of at least 8%.
c. Last year more than half of their clients made a profit of at least 8%.
d. Last year at least one of their clients made a profit of more than 11%.
e. Last year at least one of their clients made a profit of exactly 8%.
f. None of the above statements is true.
Answer:
The answer is "Option 2".
Step-by-step explanation:
Please find the complete question in the attached file.
When there is a mean value k in a set of data. Otherwise, we will assert with certainty that at least one of the values is k. They can't say anything at all about the maximum or even the minimum using knowledge only. Nevertheless, we know that certain numbers cannot be over and that all numbers cannot be below than mean. Mean also no value throughout the data set must be equal.
Find the area of the circle shown below if the radius is 13 inches. Use 3.14 for π. Use the formula π x R^2
A) None of these answers
B)2,122.64 inches
C)530.66 inches
D)20.41 inches
E)47.1 inches
Answer:
C
Step-by-step explanation:
that is the procedure above
The area of this circle with a radius of 13 inches is, C)530.66 inches
What are the circumference and diameter of a circle?The circumference of a circle is the distance around the circle which is 2πr.
The diameter of a circle is the largest chord that passes through the center of a circle it is 2r.
A circle with center A is given and the length of the line segment(radius),
AB = AD = AC = 13 inches.
We know, The area of a circle is,
= πr².
= π(13)² sq in.
= 530.66 sq in.
We can also find the perimeter or the circumference of the circle by the formula 2πr,
= 2π×13.
= 26π.
= 81.64 inches.
learn more about circles here :
https://brainly.com/question/11833983
#SPJ7
A shopping attendant needs to price a large jigsaw puzzle returned by a customer. The customer paid a total of $33.04, including a convenience charge of $1.75 and 10% sales tax on the subtotal. Use the inverse to find the original price of the puzzle. If necessary, round your answer to the nearest cent.
Answer:
28.45
Step-by-step explanation:
33.04-1.75=31.29
31.29/1.10=28.45
A farmer has a 40-acre farm in Georgia. The farmer is trying to determine how many acres of corn, peanuts, and cotton to plant. Each crop requires labor, fertilizer, and insecticide. The farmer has developed the following linear programming model to determine the number of acres of corn (X1), peanuts (X2), and cotton (X3) to plant in order to maximize profit. Max 550 X1 350 X2 450 X3 s.t. Constraint 1: 2 X1 3 X2 2 X3
Answer:
z (max) = 17461.54 $
x₁ = 29.23 acres
x₂ = 0
x₃ = 3.07
Step-by-step explanation: INCOMPLETE QUESTION.
As the problem statement establishes: "Each crop requires labor, fertilizer, and insecticide" and information about quantities and availability does not exist. To build a model and that such model would be feasible I copy from the internet the following data. We assume the problem is to maximize the number of acres to plant with a maximum of profit ( we will use as profit the numbers 550 ; 350 ; 450 for acres of corn, peanuts, and cotton)
Then z = 550*x₁ + 350*x₂ + 450*x₃ to maximize
labor (h) fertilizer ( tn) Insecticide (Tn)
acres of corn (x₁) 2 4 3
acres of peanut (x₂) 3 3 2
acres of cotton (x₃) 2 1 4
Availability acres 40 120 120 100
Constraints:
1) Size of the farm 120 acres
x₁ + x₂ + x₃ ≤ 40
2) labor 120 h
2*x₁ + 3*x₂ + 2*x₃ ≤ 120
3) Fertilizer 120 Tn
4*x₁ + 3*x₂ + 1*x₃ ≤ 120
4) Insecticide 100 Tn
3*x₁ + 2*x₂ + 4*x₃ ≤ 100
The Model is:
z = 550*x₁ + 350*x₂ + 450*x₃ to maximize
Subject to:
x₁ + x₂ + x₃ ≤ 40
2*x₁ + 3*x₂ + 2*x₃ ≤ 120
4*x₁ + 3*x₂ + 1*x₃ ≤ 120
3*x₁ + 2*x₂ + 4*x₃ ≤ 100
x₁ ≥ 0 ; x₂ ≥ 0 ; x₃ ≥ 0
After 3 iterations using an on-line solver optimal solution is:
z (max) = 17461.54 $
x₁ = 29.23 acres
x₂ = 0
x₃ = 3.07
What is the value of the expression below when z=3
6z^2 +2z+10
Answer:
6z^2 + 2z + 10
6 (3^2) + 2(3) + 10
6(9) + 6 + 10
54 + 16= 70
On a coordinate plane, 3 lines are shown. Line m has points (negative 4, 3) and (0, negative 4). Line n has points (1, 2) and (3, negative 2). Line k has points (negative 3, negative 3) and (4, 1).
Use the diagram to answer the questions.
Is line m parallel to line n? Explain.
Is line m perpendicular to line k? Explain.
Answer:
actually, the answers are "No, the slopes are not equal"
and "Yes, the slopes are negative reciprocals".
Reason: just did it!!!!
Answer:
"No, the slopes are not equal"
and "Yes, the slopes are negative reciprocals".
Step-by-step explanation:
Which equation can be used to find the measure of angle BAC?
Answer:
Step-by-step explanation:
tan x= opp./adj.
tan x = 12/5 so
x = tan^-1 (12/5)
second choice
Answer:
B
Step-by-step explanation:
With the spot rate E_VND/USD = 21,000, the Forward Rate: F_VND/USD = 21,250; the Expected Rate after 3 months: Ee_VND/USD = 22,000, the hedging cost to an importer participating in the risk handling will be?
Answer:
Step-by-step explanation:
The importer needs to make the payment in the VND each time so the importer may enter into hedge to protect himself from the appreciation of the VND against the dollar, now if the importer enters into the forward contract of the hedge and he come across the reverse situation that means the VND is depriciating that means if the hedger would not have entered into a forward contract then they would have benefited more.
Lets convert above above rate in per VND rate to understand better.
E_USD/VND = 1/21000 = 0.000048
F_USD/VND = 0.000047
Ee_USD/VND = 0.000045
so as we can see above if we had enter into a hedge contract we have to pay the 0.000047 per VND and if we would not have enter into the contract we would have to pay the 0.000045 per VND hence cost of Hedging is 0.00002 USD per VND.