Answer:
[tex]\theta=61.68^{\circ}[/tex]
Step-by-step explanation:
Given that,
The height of a tower, h = 103 feet
The height of its shadow, H = 117 feet
The height of tower is perpendicular and the height of shadow is hypotenuse of a right angled triangle. We can use trigonometry such that,
[tex]\sin\theta=\dfrac{h}{H}\\\\\theta=\sin^{-1}(\dfrac{103}{117})\\\\\theta=61.68^{\circ}[/tex]
So, the angle of elevation of the sun is equal to [tex]61.68^{\circ}[/tex].
c) Mr. Gurung had Rs 3300. He purchased 5 kg of rice at Rs 70 per kg, 2 packets of oil at Rs 125 per packet and he gave Rs 2500 to his wife. If he divided the remaining sum between his son and daughter equally, find the share of each of them.
Answer:
Intial money=Rs 3300
final money=3300-(70×5)-(2×125)-2500
=3300-350-250-2500
=3300-3100=RS 200
Now,
share of each of them= 200/2=Rs100
*mark me brainliest
Is √12•√ 12 rational or Irrational?
Answer:
It is a rational number
Step-by-step explanation:
[tex]\sqrt{12} *\sqrt{12} =12[/tex]
[tex]\sqrt{12}[/tex] by itself is 3.46410 making it irrational
4. Xin is getting an estimate from a printer for fliers for the drama club. Xin
orders color prints and negotiates a 10% discount on the print job for
the drama club. If f represents the number of fliers Xin orders, does
0. 10(17. 50 +0. 20f) represent the total cost of the print job? Why or why not?
Setup
Black & white print
Color print
$17. 50
$0. 09 each
$0. 20 each
yes, this 10(17. 50 +0. 20f) represent the total cost of the print job. This can be solved by using the concept of expression.
What is an expression?A mathematical expression is a phrase that has a minimum of two numbers or variables and at least one mathematical operation. Any one of the following mathematical operations can be used i.e. addition, subtraction, multiplication, or division.
There are three different expression types:
There is just one arithmetic value that an arithmetic expression may produce.A character expression evaluates to just one character value.One logical value is produced by the evaluation of a logical or relational statement.Given that,
10% discount on the print job
thus, 10% = 0.10.
Therefore, once he pays the $17.80 setup fee and then 0.20f (or $0.20 per flyer), then we would multiply by 10% (Or 0.10).
so, we get: 0.10 × (17.50 + 0.20f)
Yes, 0.10 × ( 17.50 + 0.20f ) does represent the total cost of the print job.
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Find the volume of the pyramid.
7 m
12 m
The volume is
16 m
cubic meters.
The value of volume of pyramids is 448 cubic meter.
How to calculate volume of pyramid?A triangular pyramid's volume can be calculated using the formula Volume= 1/3 Base area Height. The side, height, and slant height of a triangular pyramid are the three parameters needed to calculate its surface area.
The basic formula for volume is length, breadth, and height, as opposed to length, width, and height for the area of a rectangular shape. The calculation is unaffected by how you refer to the various dimensions; for instance, you can use "depth" instead of "height."
Given,
Length=12m
Width=7m
height=16m
volume =l * w * h / 3
= 12*7*16/3
= 448 cubic meter
Therefore volume of pyramid is 448 cubic meter .
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Place from least to greatest:
0.66, 0.654, 0.7, 0.64
Least to greatest: 0.64, 0.654, 0.66, 0.7
Answer:
1. 0.64
2. 0.654
3. 0.66
4. 0.7
A bag contains:
1 red beads
2 yellow beads
2 green beads
1 blue bead
A bead is chosen at random.
What is the probability that it is green?
What is the probability that it is green or yellow?
Pls pls help!
I'll give you brainliest answer!
Thx!
The probability to draw a green bead is 1/3 and the probability to draw a green or yellow bead is 2/3
It is given that the bag contains 1 red bead, 2 yellow beads, 2 green beads, and 1 blue bead.
Hence the total no. of beads in the bag = no. of red + yellow + green + blue beads
= 1 + 2 + 2 + 1 beads
= 6 beads.
Let the event to draw a green bead be A
Let the event to draw a yellow bead be B
Probability of any event = no. of outcomes favorable to that event/ total number of outcomes
Hence P(A) = no. of green beads/ total no. of beads
= 2/6
= 1/3
Hence the probability that a green bead is drawn is 1/3
P(B) = no. of yellow beads/ total no. of beads
2/6 = 1/3
We need to find P(A or B)
= P(A U B) = P(A) + P(B) - P(A ∩ B)
P(A ∩ B) = P(A and B)
Since no bead is of 2 colors, P(A ∩ B) = 0
Hence we get
P(A U B) = 1/3 + 1/3
= 2/3
Hence the probability to draw a green or yellow bead is 2/3
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An amusement park has a two merry-go-rounds. The first merry-go-round has a circular platform with a diameter of 13 meters. The second merry-go-round has a circular platform with a diameter of 19 meters. What is the difference between the areas of the larger and smaller merry-go-round’s platform?
Answer:
150.72
Step-by-step explanation:
Area of circle formula is r²π
Do find radius you do d/2, diameter/2. 13/2= 6.5
6.5 * 6.5 = 42.25
π is also known as 3.14
42.25 * 3.14 = 132.665
That is the area of the smaller one.
For the larger one, 19/2 = 9.5
9.5 * 9.5 = 90.25
90.25 * 3.14= 283.385
Now you subtract both of them and the difference is 150.72.
Hope this helps !!
-Ketifa
Answer
150.72 m2
Step-by-step explanation:
Find the radius of the larger
merry-go-round.
19^2 = 9.5
Substitute 9.5 for r in the formula for the
area of a circle.
A-n • 9.52
= 71 -90.25
- 283.385
Find the radius of the smaller
merry-go-round.
13-^-2-6.5
Substitute 6.5 for r in the formula for the
area of a circle.
A~n • 6.52
= n - 42.25
-132.665
Subtract the area of the smaller merry go-round from the area of the larger
merry-go-round.
283.385 - 132.665 = 150.72
plz help 20 points math
Answer: -4/-6
Step-by-step explanation:
a fish tank is in the shape of an open glass cuboid 30cm deep with a base 16cm by 17cm, these measurements being external. if the glass is 0.5cm thick and its mass is 3g/cm cube. find the capacity of the tank in litres
The capacity of the tank in open glass cuboid is determined as 7.2 Liters.
Capacity of the tank
The capacity of the tank is calculated as follows;
Volume = base area x height
Base area = Length x Width
Base area = [17 cm - 2(0.5cm)] x [16 cm - 2(0.5cm)]
Base area = 16 cm x 15 cm
Base area = 240 cm²
Volume = 240 cm² x 30 cm
Volume = 7,200 cm³
Volume = 7.2 Liters
Thus, the capacity of the tank in open glass cuboid is determined as 7.2 Liters.
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What is the name of the point where the two axes cross?
As per the concept of graph, the name of the point where the two axes cross is origin.
Graph in math is defined as a diagram showing the relation between variable quantities, typically of two variables, each measured along one of a pair of axes at right angles.
Here we have to identify the name of the point where the two axes cross.
As we all know that the horizontal axis in the coordinate plane is called the x-axis and the vertical axis is called the y-axis.
Here we have also know that the point at which the two axes intersect is called the origin.
Where the origin is at 0 on the x-axis and 0 on the y-axis.
And these intersecting x- and y-axes divide the coordinate plane into four sections
Finally all these four sections are called quadrants.
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18=0. 125. Which calculation is NOT a way to find 58?
CLEAR CHECK
A. 5÷8
B. 5⋅0. 125
C. 0. 5+0. 125
D. 1−0. 125
The correct option is D. 1 − 0. 125 is NOT the correct way to find the value of fraction 5/8.
Explain the term fraction?a numerical expression in which the numerator and denominator are split. Both are integers in a simple fraction. A fraction appears in the numerator as well as denominator of a complex fraction. The numerator of a proper fraction is less than every denominator.Consider the given options;
A. 5÷8
5÷8 = 5/8 (correct)
B. 5⋅0. 125
5*0.125 = 0.625
5*0.125 = 5/8 (correct)
C. 0. 5+0. 125
5+0. 125 = 0.625
5+0. 125 = 5/8 (correct)
D. 1−0. 125
1−0. 125 = 0.785
1−0. 125 = 7/8 (not correct)
Thus, option D is not the correct way to solve the equation.
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The correct question is attached.
26. Six oranges in a bag of 30 oranges are bad. Express the number of bad oranges as a fraction in its lowest terms.
Answer:
The fraction representing the number of bad oranges can be written as 6/30. This fraction can be simplified by dividing both the numerator and the denominator by 2, which gives us 3/15. This fraction is already in its lowest terms, so 3/15 is the final answer.
Step-by-step explanation:
LIVE
A gym charges a one-time fee of $60 to join and membership dues of $25 per month.
Part A
Complete the table to show how the total cost in dollars, C, and the number of months, m, of gym
membership are related. Drag numbers to complete the table. Numbers may be used once or not at all.
200
865
410
205
135
75
505
260
m
3
8
14
с
OLIVE
Part B
Which equation represents the total cost based on the number of months of gym membership?
o
A C = 25m
O
B. C = 60 + 25m
C. C = 60m + 25
O D. C = 25m - 60
Answer:
I uploaded the answer to^{}
a file hosting. Here's link:" i don't believe them but try to see it
Answer:
SS
Step-by-step explanation:
Ju
What is the volume of the rectangular prism?
^answer:^
~10 cubic feet~
^step by step explanation:^
first, calculate the volume of the front “panel” of the shape. (5 cubic centimeters because 5 times 3 is 15 and 15 times 1/3 is 5. 5 times 2 is 10.
simpelest form of the ratio 2 weeks to 30 days
Answer:
7:15 ,2 weeks=14 days and 30 days divide by 2 = 7 and 15 put them to a ratio and you'll get 7:15.
A box of 6 donuts has 3 plain donuts, 2 chocolate donuts, and 1 blueberry donut. Assume the plain donuts are identical, and the chocolate donuts are identical. How many visually distinct arrangements of the donuts are there?
If a box of 6 donuts has 3 plain donuts, 2 chocolate donuts, and 1 blueberry donut. The number of visually distinct arrangements of the donuts that are there is: 60.
How to find the number of visually distinct arrangements?Using this formula to find the number of visually distinct arrangements of the donut that are there.
Number visually distinct arrangements = Box of donuts!/ Plain donuts! × Chocolate donuts! × Blueberry donut!
Let plug in the formula
Number visually distinct arrangements = 6!/ 3! × 2! × 1!
Number visually distinct arrangements = 720/ 6 ×2 × 1
Number visually distinct arrangements = 720 /12
Number visually distinct arrangements = 60
Therefore the number of Number visually distinct arrangements is 12.
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Where is graph increasing and decreasing?
The graph is increasing when the graph has positive slope and the graph is decreasing when the graph have a negative slope .
What is Slope ?
The slope of any line can be calculated by using any two distinct points on the line. The slope of a line formula calculates the ratio of the vertical change to horizontal change between two distinct points of the line.
that means , let the two points on the line be [tex](a,b)[/tex] , [tex](c,d)[/tex] . So , the slope will be calculated as : Slope(m) = [tex]\frac{d-b}{c-a}[/tex] .
(i) When the slope of the graph is positive , it indicates that the graph rises when moving from left to right , Hence , the graph is increasing .
(ii) When the slope of the graph is negative , it indicates that the graph falls when moving from left to right , Hence , the graph is decreasing .
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Write the following using index notation:
2 x 2 x 2
b) 3x3
3 x 3
c)
6 x 6 x 6 x 8 x 8 x 8
d)
3 * 4 * 3 x 4 * 3
Index notations are as follows:
a) 2³
b) 3²
c) 6³ * 8³
d) 3³ * 4²
What are Exponents?A number's exponent demonstrates how many times we are multiplying a given number by itself. 3^4, for instance, indicates that we are multiplying 3 by four. 3*3*3*3 is its expanded form. The power of a number is another name for an exponent. A whole number, fraction, negative number, or decimal are all acceptable.
Let's break down the given index notation one by one:
a) 2 is taken 3 times = 2³
Similarly,
b) 3²
c) 6³ * 8³
d) 3³ * 4²
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How many types of angle are there in class 6?
In class 6, students typically learn about acute angles, right angles, and obtuse angles as the main types of angles. So there are three types of angles.
Acute angles, Right angles, and Obtuse angles are the basic types of angles and they are based on the degree measure. Acute angles are less than 90 degrees, right angles are exactly 90 degrees and obtuse angles are greater than 90 degrees but less than 180 degrees.
It's worth noting that the classification of angles in class 6 may vary depending on the curriculum and the country you are in. This is a general description and your school or teacher may have different classification or criteria.
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Pablo poured about 10 ? of medicine onto a spoon.
A) millimeters
B)liters
Answer:
A
Step-by-step explanation:
10 liters won't fit on a spoon
By choosing an appropriate line, use the
diagram to estimate the solutions to these
simultaneous equations:
2
y = -x +1.5
y = 1.5x2.5
So on solving the provided question, here we can say that by is a simultaneous equations the value of x = - 3/5 and y = 9/10
What is the simultaneous equation formula?Multiple algebraic equations that have the same unknowna as the give in the variables and the same answer are referred to as simultaneous equations. This suggests that there is a single solution to the simultaneous equations. Examples of simultaneous equations include: 2x - 4y = 4, 5x + 8y = 3, and others. This implies that the simultaneous equations have a single solution. The simultaneous equations 2x - 4y = 4, 5x + 8y = 3, and others are examples.
y = -x + 1.5
y = 1.5x + 2.5
x = -3/5
y = 9/10
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HELP!!! there are 20 students in Mr. Miller's algebra class. 14 of the students are females. If Mr. miller selects a student at random, what is the probability that he will select a male.
Answer:
6/20, 0.3, 30%
Step-by-step explanation:
If there are 14 females then there are 6 males
6 divided by 20 is 0.3 or 30%
Answer:
30%
Step-by-step explanation:
-(4-7)
How do you do this?
I got -4+7
(Is that right)
If 70% of the members remembered the password but 21 members forgot, then how many members were there in all?
Please show work if you can
Thxs
Answer:
70 members
Step-by-step explanation:
Let's call the number of total members x. We know that 30% or [tex]\frac{3}{10}[/tex] of the members forgot, so our equation looks like this:
[tex]\frac{3}{10}x = 21[/tex]
Then, we will multiply both sides by 10 to get rid of the fraction:
3x = 210
Finally, we will divide both sides by 3 to find out our variable, x:
x = 70
So, there are 70 members in total.
Hope this helped!
Pythagorean theorem and its converse
problem 3:
leg:16
leg:x
hypo:27
problem 4:
leg:12.8
leg:5.3
hypo:x
problem 5
18 <--------->
`20
x'
The missing measures, using the Pythagorean Theorem, are given as follows:
3. Leg x = 21.75.
4. Hypotenuse x = 13.85.
What is the Pythagorean Theorem?The Pythagorean Theorem states that length of the hypotenuse squared is equals to the sum of each of the sides of the triangle squared.
For item 3, we have that the leg x is missing, while another leg and the hypotenuse are given, meaning that the relation is of:
x² + 16² = 27²
Hence:
x² = 27² - 16²
[tex]x = \sqrt{27^2 - 16^2}[/tex]
x = 21.75.
For item 4, we are given two legs and want to find the hypotenuse, hence the relation is given as follows:
x² = 12.8² + 5.3²
[tex]x = \sqrt{12.8^2 + 5.3^2}[/tex]
x = 13.85.
As for item 5, there is not enough information to answer, but the procedure should be the same.
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Me pueden ayudar? :)
.Answer:
Step-by-step explanation:
A cone has a diameter of 8 units and a helght of 8 units. Its radius is____ its volume is ____ A cylinder with the same height and radius as the cone will have a volume of _____ cubic units. If a sphere has the same radius as the cylinder, Its volume is ____ the volume of the cylinder
Answer:
A cone has a diameter of 8 units and a height of 8 units. Its radius is 4units its volume is 134.04 cubic units. A cylinder with the same height and radius as the cone will have a volume of 402.12 cubic units. If a sphere has the same radius as the cylinder, Its volume is less than the volume of the cylinder.
radius = diameter / 2 = 8/2 =4units
[tex]volume \ of \ cone = \pi r^2 \frac{h}{3}[/tex] =134.04cubic units
[tex]volume \ of \ cylinder = \pi r^2h[/tex] = 402.12 cubic units
[tex]volume \ of \ sphere = \frac{4}{3}\pi r^3[/tex] = 268.08 cubic units
How does Earth's rotation cause day and night ?
Earth's rotation is what causes day and night. As Earth rotates on its axis, half of the planet is facing the Sun, while the other half is facing away from the Sun.
The half of the planet facing the Sun experiences daylight, while the half facing away from the Sun experiences darkness. This cycle repeats itself every 24 hours, resulting in the day and night cycle that we experience.
Earth's rotation causes day and night by rotating on its axis, with half of the planet facing the Sun and the other half facing away from the Sun. This cycle of daylight and darkness lasts for creating the day and night cycle that we observe.Earth's rotation is what causes day and night. As Earth rotates on its axis, half of the planet is facing the Sun, while the other half is facing away from the Sun.
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describe the relationship between the two quantities in the graph.
What are the 14 types of angles?
Fourteen types of angles are Acute Angles, Obtuse Angles, Right Angles, Straight Angles, Reflex Angles, Positive Angles, Negative Angles, Complementary angles, Supplementary angles, Linear Pair, Adjacent angles, Vertically Opposite angles, Alternate interior angles and Alternate exterior angles.
There are mainly 5 types of angles based on their magnitude. They are Acute Angles, Obtuse Angles, Right Angles, Straight Angles and Reflex Angles.
Positive Angles and Negative Angles are the angles based on the direction of measurement or the direction of rotation.
When two angles are paired, then there exist different angles, such as Complementary angles, Supplementary angles, Linear Pair, Adjacent angles, Vertically Opposite angles, Alternate interior angles and Alternate exterior angles.
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