Answer:
The space needle is 62.95 m tall.
Step-by-step explanation:
Given that,
The height of the shadow, h = 67 m
The angle of elevation from the tip of the shadow to the top of the Space Needle is 70°.
We need to find the height of the space needle.
The shadow of space needle is hypotenuse of right angled triangle. Let the height of the space needle is x m. Using trigonometry,
[tex]\sin\theta=\dfrac{x}{h}\\\\x=h\times \sin\theta\\\\x=67\times \sin(70)\\\\x=62.95\ m[/tex]
So, the space needle is 62.95 m tall.
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Please look at the attached photo.
which expression represents the image below?
5/6 x 3/2
5/6 x 3/4
1/4 x 3/4
No links please !!
please respond fast with a good answer.
Answer:
5/6 x 3/2
Step-by-step explanation:
I think that would be correct out of all of those. I hope this helped!
(Please don't be mean if it's wrong, it's what I learned)
A conical candle is to be made from 250 cm3 of wax. If the candle's height is three times its diameter, what radius and height should it have, to the nearest tenth?
Answer:
The radius and height of the cone are 3.41 cm and 20.46 cm respectively.
Step-by-step explanation:
Given that,
The volume of a conical candle is 250 cm³.
The height of candle is 3 times of its diameter.
h = 3d (d = 2r, radius)
So,
h = 6r
The formula of volume of a cone is given by :
[tex]V=\dfrac{1}{3}\pi r^2h\\\\250=\dfrac{1}{3}\pi \times r^2\times 6r\\\\250=2\pi r^3\\\\r=(\dfrac{250}{2\pi })^{1/3}\\\\r=3.41\ cm[/tex]
Height, h = 6r = 6(3.41) = 20.46 cm
Hence, the radius and height of the cone are 3.41 cm and 20.46 cm respectively.
The area of a rectangular pool is 6365 m2.
If the length of the pool is 95 m, what is its width?
Answer:
67
6365/95 = 67
But if your counting METERS and SQUARE METERS
It would be 134
A marble is selected from a bag containing eight marbles numbered 1 to 8.
The number on the marble selected will be recorded as the outcome.
Consider the following events.
Event A: The marble selected has a number less than 4.
Event B: The marble selected has an odd number.
Give the outcomes for each of the following events.
If there is more than one element in the set, separate them with commas.
A
(a) Event "A and B": {
(b) Event "A or B":
(c) The complement of the event B: {}
0,0..
X
From set theory, A and B: {4, 6} A or B: {2, 3, 4, 5, 6, 8} B's complement is 1, 2, 7, and 8.
What are the types of set theory?Basic set theory describes these various kinds of sets as follows: Finite set: There are only a finite number of elements. A set with an infinite number of elements. A set that is empty has no elements. A singleton set consists of just one element.
The elements that appear in both A and B at the same time are referred to as A and B.
From 1 to 8, the even numbers are 2, 4, 6, and 8.
The numbers 3, 4, 5, and 6 are in that order.
Look for the components that are the same in both sets.
A and B: {4, 6}
The union of the two sets is either A or B.
Combine the components from both sets.
A or B: {2, 3, 4, 5, 6, 8}
All the components that are absent from B make up its complement.
Except for the event elements, write all of the sample space's components.
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express 8 to the power of 1 in exponential form
Answer:
8¹
Step-by-step explanation:
The given expression is :
8 to the power 1.
We need to write it in exponential form.
If we write 10³, here 10 is base and 3 is exponent.
8 to the power 1 = 8¹
The base is 8 and exponent is 1.
Hence, the exponential form is 8¹.
Find the measure of angle A. (Hint: You will need to find the value of x, but that is NOT the solution.)
Answer:
41°
Step-by-step explanation:
Sum of angle measures in a triangle: 180°
So,
108 + x + 5 + x - 5 = 180
Simplify.
2x + 108 = 180
Subtract 108 from both sides.
2x = 72
x = 36
Substitute x = 36 into (x + 5)
m∠A = 36 + 5 = 41
Thus, the answer is 41°
The following data were obtained in a study taken on a horizontal milling machine: Parts produced per cycle: 8. Average measured cycle time: 8.36 minutes. Average measured stress time per cycle: 4.62 minutes. Average fast traverse time: 0.08 minutes. Average cutting time with electrical power: 3.66 minutes. Performance rating: 115%. Clearance (machine time): 10%. Slack (effort time): 15%. The operator works on the task 8 hours a day and produces 380 parts. How many standard hours does the operator work
Answer:
8.04 ≈ 8 hours
Step-by-step explanation:
Given data:
parts produced per cycle = 8
Average measured cycle time = 8.36 minutes
Average measured stress time per cycle ( observed workers time) = 4.62 minutes
e.t.c
Determine the number of standard hours the operator works
Given that the operator works for 8 hours a day and produces 380 parts
First : calculate the normal time for worker and machine ( Normal time = ( observed worker time * performance rating ) / 100
Normal time for worker = (4.62* 115) / 100 = 5.31 mins
Normal time for machine = (observed cycle time - observed worker time ) = 8.36 - 4.62 = 3.74 mins
Next; determine the Total standard time for Machine and worker = ( normal time * ( 1 + Allowance factor )
Standard Time For Worker = 5.313* (1 + 0.1) = 5.84 mins
while Standard Time for Machine = 3.74 *( 1 + 0.15) = 4.30 mins
Total standard time = 5.84 + 4.3 = 10.14 mins
Finally determine the standard hours the operator works
Standard hours = (Standard Piece Time* Pieces produced) / 60
where ; Standard piece time = Standard time / pieces per cycle = 10.14 / 8 = 1.27 mins
hence ; Standard hours = ( 1.27 * 380 ) / 60 = 8.04 hours
−321⋅35⋅7⋅15 what is this properties
The dots in the expression - 321⋅35⋅7⋅15 represents multiplication.
What are some alternative names for arithmetic operations?Addition is also known as the sum, subtraction is also known as the difference, multiplication is also known as the product, and division is also known as the factor.
From higher classes, we write a dot sign in between two terms to represent that the terms are being multiplied.
Given, - 321⋅35⋅7⋅15 this represents multiplication between the numbers
- 321, 35, 7, and 15.
The result of this product is,
- 321×35×7×15
= - 1,179,675.
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B. ) For Service B, is the additional charge per mile greater or less than 30 cents per
mile of the trip? Explain your reasoning.
The additional charge per mile for Service B is less than 30 cents per mile of the trip. This is because the rate for Service B is 20 cents per mile plus a flat fee of $10, which works out to less than 30 cents per mile for longer trips.
For a trip of 10 miles, Service B would cost
(10 x 0.20) + 10
= $12.
For a trip of 20 miles, Service B would cost
(20 x 0.20) + 10
= $22.
Therefore, the additional charge per mile for Service B is
(12/10)
= 1.2 for the 10 mile trip and
(22/20)
= 1.1 for the 20 mile trip.
Both of these are less than 30 cents per mile.
The additional charge per mile for Service B is less than 30 cents per mile of the trip because the rate for Service B is 20 cents per mile plus a flat fee of $10, which works out to less than 30 cents per mile for longer trips. To demonstrate this, for a 10 mile trip, the total cost would be $12, and for a 20 mile trip, the total cost would be $22. This works out to an additional charge per mile of 1.2 and 1.1 cents respectively, which are both less than 30 cents per mile.
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Additive Relationships
What is the value of y when x=100y=?
The value of y in the equation is y = x / 100.
How to make a variable the subject of the formula?Subject of the formula is a variable which is expressed in terms of other variables involved in the formula.
Therefore, let's make y the subject of the formula in the equation x = 100y.
Hence, we will find y in terms of x.
Therefore,
x = 100y
divide both sides of the equation by 100
100y / 100 = x / 100
y = x / 100
Therefore,
y = x / 100
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hep me please and thx u
Answer:
what do i dohere?
Step-by-step explanation:
How do you calculate F G and G of f?
You will be calculate the function F(G) = f(g(x)) and G(F) = g(f(x)).
What is function ?
A function is a kind of rule that, for one input, it gives you one output. Image source: by Alex Federspiel. An example of this would be y=x2. If you put in anything for x, you get one output for y. We would say that y is a function of x since x is the input value.
Have given ,
Two functions , f(x) and g(x)
The composition of two functions g and f is the new function we get by performing f first, and then performing g. For example, if we let f be the function given by f(x) = x2 and let g be the function given by g(x) = x + 3, then the composition of g with f is called gf and is worked out as gf(x) = g(f(x)) .
So , You will be calculate the function F(G) = f(g(x)) and G(F) = g(f(x)).
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Two parallel lines are cut by a transversal. What is the measure of angle 6?
Answer:
C.,77°{interior alternate angle}
hope it helps.
Kathy owns many different kinds of snow globes. She has 12 international snow globes and 18 domestic. What is the fraction that represents the international snow globes, in simplest form?
Answer:fraction that represents the international snow globes, =9//10
Step-by-step explanation:
Number of international snow globes ==12
Number of domestic snow globes ==18
total number of snow globes =12+18=20
fraction that represents the international snow globes=18/20=9//10
what is the probability of spinning the pointer on the spinner below and getting a 2 or 4
Answer:
The probability would be 2/5
Step-by-step explanation:
There is five numbers on the spinning and the chance of getting one certain number would be 1/5, and if you add the two probabilities together would be 2/5, I am pretty sure.
Are 5x and 5 like terms?
The statement given here is true as 5x and 5 are like terms.
This is because like terms have the variables of same degree . Therefore, 5x and x are like terms as both of them have x to the power 1 , which means both are of degree 1.
Like terms differs from the unlike terms only in case of numerical component. By summing the coefficients of like terms , similar phrases can be regrouped. Like terms in a polynomial equation are those terms that have the same variables and these variables have the same powers, but with different coefficients.
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Wyatt is paying back a loan with a nominal interest rate of 13.62%. if the interest is compounded quarterly, how much greater is wyatt’s effective interest rate than his nominal interest rate?
a. 0.96 percentage points
b. 0.40 percentage points
c. 0.25 percentage points
d. 0.71 percentage points
please select the best answer from the choices provided a b c d
0.71 percentage points greater is wyatt’s effective interest rate than his nominal interest rate.
What is intrest?Interest is a fee paid by a borrower to a lender for the use of borrowed money. It is calculated as a percentage of the amount borrowed, and is usually paid periodically at intervals. Interest is generally considered to be a form of compensation for the time and risk taken by the lender in providing a loan or other form of credit.
The effective interest rate is calculated by taking the (1 + nominal interest rate/number of compounding periods per year) to the number of compounding periods per year power minus 1. In this case, the effective interest rate would be 0.1362 x (1 + 0.1362/4)^4 - 1, which is 0.1439 or 14.39%. The difference between the nominal interest rate of 13.62% and the effective interest rate of 14.39% is 0.71 percentage points.
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Use the quadratic formula to solve for the zeros: 2x^2 + 39 = -18
Answer:
18
Step-by-step explanation:
2
2
+
3
9
=
−
1
8
2x^{2}+39=-18
2x2+39=−18
2
2
+
3
9
−
(
−
1
8
)
=
0
HELP!! Find the inverse of the matrix…
Answer:
the answer is b
Y'all actually expect people to conduct experiments or to write whole essays for you?
An altitude is drawn from the vertex of an isosceles triangle, forming a right angle and two congruent triangles. As a result, the altitude cuts the base into two equal segments. The length of the altitude is 9 inches, and the length of the base is 7 inches. Find the triangle’s perimeter. Round to the nearest tenth of an inch.
Answer:
26.3
Step-by-step explanation:
The altitude splits the 7-inch base into two 3.5-inch pieces find the missing sides:
3.5^2+9^2=c^2
9.656603=c
7+9.657+9.657=the perimeter
26.314 or 26.3
Notice the number of edge tiles (column 3) is equal to two less than the number of tiles on one side (column 1) multiplied by four. Knowing this relationship, if we built a 10 by 10 square mirror, write a numerical expression that would help us calculate the number of edge tiles we would need.
A numerical equation using addition as the only operator, for instance, is 2 + 17.
What is meant by numerical expression?An expression that uses only numbers and one or more operation symbols is referred to as a numerical expression. Operations like addition, subtraction, multiplication, and division are represented by symbols. Additionally, the square root sign or the absolute value symbol can be used to represent it. A numerical equation using addition as the only operator, for instance, is 2 + 17. An equation with three operators, 11 + 43 x (-4), starts with addition and moves through multiplication and subtraction. Operations are applied to numbers in numerical expressions. Numerical expressions include things like 2(3 + 8). At least one variable and one operation are included in algebraic expressions (addition, subtraction, multiplication, division). An algebraic expression is, for instance, 2(x + 8y).To learn more about numerical expression, refer to:
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HELP DUE IN 5 MINS!
The figure below consists of a regular pentagon and a regular hexagon. Solve for x.
x=??degrees
Answer:
x = 132
Step-by-step explanation:
720/6 = 120 (one angle of the hexagon)
540/5 = 108 (one angle of the pentagon)
120+108 = 228
360 - 228 = 132
x = 132
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Answer:
Step-by-step explanation:
Becca hiked a total distance of 8.8 miles on three different trails.
• She hiked 4.8 miles on the first trail.
• She hiked 2.2 miles on the second trail.
What is the number of miles Becca hiked on the third trail?
Answer:
1.8
Step-by-step explanation:
4.8 + 2.2 = 7
8.8 - 7 = 1.8
Why is the sine of an acute angle less than one?
The sine of an acute angle is less than one because it is defined as the ratio of the length of the side opposite the angle to the length of the hypotenuse in a right triangle. Since the side opposite the angle is shorter than the hypotenuse, the ratio is always less than one.
To what does sin equate?
In contrast to the cosine of an angle, which corresponds to the ratio of the nearby side to the hypotenuse, the sine of an angle is the ratio of the opposite side to the hypotenuse.
It's also the same reason why the cosine of an acute angle is always less than one because it is the ratio of the adjacent side of the angle to the hypotenuse.
It's important to note that this is only true for acute angles, angles smaller than 90 degrees.
For obtuse angles, greater than 90 degrees, the sine and cosine values are greater than one.
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Halle is planning a party and needs to buy chicken and
steaks. One package of chicken costs $7 and steaks cost $4
per pound. She cannot spend more than $40. She knows steak
is going to be popular so she wants to buy at least 5 lbs of
steak. Write a system of linear inequalities to model the
situation and graph the inequalities.
On solving the provided question, we can say that by the help of unitary method total 28 + 40 = $ 68
What is unitary method ?The unit technique is an approach to problem-solving that involves first determining the value of a single unit, then multiplying that value to determine the required value. The unit method, to put it simply, is used to extract a single unit value from a supplied multiple. For instance, 40 pens would cost 400 rupees, or the price of one pen. The process for doing this may be standardized. a single country. anything that has an identity element. (mathematics, algebra) (Linear algebra, mathematical analysis, mathematics of matrices or operators) Its adjoint and reciprocal are equivalent.
One package of chicken costs = $7
steaks cost = $4 per pound.
cost of 4 chicken = 4 * 7 = $28
cost of 10 steaks = 4*10 = $40
total 28 + 40 = $ 68
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Tom says that he needs 6 rolls to obtain each possible outcome on a 6-sided die. On the fourth roll, he rolls his second "3”. Tom says that the die is loaded and that each outcome is not equally likely. Is Tom correct here? If you think Tom is incorrect, how many rolls should Tom make until he sees each number occurring about 1/6 of the time?
I DON'T KNOW HOW TO SOLVE FOR HOW MANY ROLLS (the last part)
What does the letter "B" represent?