Answer:
6.9 million
Step-by-step explanation:
the median is the number that is in the middle or centre of a set of observations that is arranged either in an ascending or descending order.
Arrange the land areas in ascending order :
3.3, 3.8, 5.4, 6.9, 9.4, 11.7, 17.3
the number in the middle is the 4th number which is 6.9
find the measure of the exterior angle 1. with one angle is 50 degrees and 28 degrees
Answer:
D. 78°
Step-by-step explanation:
50°+28°= 78°
_______
A ladder is leaning against the side of a 10cm house. If the base of the ladder is a 3cm away from the house, how tall is the Ladder
Answer:
10.44cm lon
Step-by-step explanation:
Given data
Height of house= 10cm
Distance of ladder from wall= 3cm
We can apply the Pythagoras theorem to get the length of the ladder
Also, the length of the ladder is the hypothenuse
z^2= x^2+y^2
z^2= 10^2+ 3^2
z^2= 100+9
z^2= 109
square both sides
z= √109
z= 10.44cm
Hence the ladder is 10.44cm long
which one makes a right triangle?
=======================================
Explanation:
As mentioned earlier (in a previous post) the triangle with sides 2,5,7 is not a right triangle. So we can rule out choice A.
For choice B, we have a = 6, b = 8, c = 10, and that leads to...
a^2+b^2 = c^2
6^2+8^2 = 10^2
36+64 = 100
100 = 100
The true equation at the end means the beginning equation is true as well for those a,b,c values. Therefore, we have a right triangle and the answer is choice B
Choices C and D are similar to choice A. They make a^2+b^2 = c^2 to be false.
For a field trip, 848 students will be riding on 16 buses. If each bus takes the same number of students, how many students will be on each bus?
58
Answer:
53
Step-by-step explanation:
848 students/16 buses=53 students per bus
The value of y varies directly with x. If x = 3, then y = 21. What is the value of x when y = 105?
F 3/5
G 1 2/3
H 7
J 15
Answer:
J
Step-by-step explanation:
[tex]y \alpha x \\ \frac{y}{x} = k \\ \frac{21}{3} = \frac{105}{x} \\ x = 15[/tex]
D.sqrt(2+x^/2)
Solve this question please
Answer:
Option a.
Step-by-step explanation:
By looking at the options, we can assume that the function y(x) is something like:
[tex]y = \sqrt{4 + a*x^2}[/tex]
[tex]y' = (1/2)*\frac{1}{\sqrt{4 + a*x^2} }*(2*a*x) = \frac{a*x}{\sqrt{4 + a*x^2} }[/tex]
such that, y(0) = √4 = 2, as expected.
Now, we want to have:
[tex]y' = \frac{x*y}{2 + x^2}[/tex]
replacing y' and y we get:
[tex]\frac{a*x}{\sqrt{4 + a*x^2} } = \frac{x*\sqrt{4 + a*x^2} }{2 + x^2}[/tex]
Now we can try to solve this for "a".
[tex]\frac{a*x}{\sqrt{4 + a*x^2} } = \frac{x*\sqrt{4 + a*x^2} }{2 + x^2}[/tex]
If we multiply both sides by y(x), we get:
[tex]\frac{a*x}{\sqrt{4 + a*x^2} }*\sqrt{4 + a*x^2} = \frac{x*\sqrt{4 + a*x^2} }{2 + x^2}*\sqrt{4 + a*x^2}[/tex]
[tex]a*x = \frac{x*(4 + a*x^2)}{2 + x^2}[/tex]
We can remove the x factor in both numerators if we divide both sides by x, so we get:
[tex]a = \frac{4 + a*x^2}{2 + x^2}[/tex]
Now we just need to isolate "a"
[tex]a*(2 + x^2) = 4 + a*x^2[/tex]
[tex]2*a + a*x^2 = 4 + a*x^2[/tex]
Now we can subtract a*x^2 in both sides to get:
[tex]2*a = 4\\a = 4/2 = 2[/tex]
Then the solution is:
[tex]y = \sqrt{4 + 2*x^2}[/tex]
The correct option is option a.
What is the measure of the missing angle?
Answer:
B=23.19
Step-by-step explanation:
First, find the last side of the triangle using the Pythagorean theorem.
[tex]a^{2} +b^{2} =c^{2} \\21^{2} +9^{2} =c^{2} \\441+81=c^{2} \\\sqrt[3]{58}=c[/tex]
Then, find the missing angle, lets name it B.
The angle B can be found using the inverse sine function.
B=arcsin(opp/hyp)
[tex]B=arcsin(\frac{9}{\sqrt[3]{58} } )\\B=23.19[/tex]
13 +22
if r = -3 and s = 4
35 is the answer
have a wonderful day
Use The Divergence Theorem To Calculate The Surface Integral and Sis a sphere centered at the origin with a radius of 2. Confirm your answer by computing the surface integral.
Answer: hi your question is incomplete below is the complete question
Use the Divergence Theorem to calculate the surface integral S F dS with F x y z = , , and S is a sphere centered at the origin with a radius of 2. Confirm your answer by computing the surface integral
answer : surface integral = 384/5 π
Step-by-step explanation:
Representing the vector field as
F ( x, y , z ) = ( a^3 + y^3 ) + ( y^3 + z^3 ) + ( Z^3 + x^3 ) k
assuming the sphere ( s) with radius = 2 be centered at Origin of the vector field.
Hence the divergence will be represented as :
Attached below is the detailed solution
Mark has a six-sided number cube. Each side is numbered from1 to 6. What is the probability, expressed as a ratio that Mark will roll a 3?
Answer:
1 : 6
Step-by-step explanation:
There are 140 balloons in a packet. The balloons are red or yellow or green or blue
Answer:
There are 35 of each color.
Step-by-step explanation:
If the number of each color is the same there are 140 / 4 = 35 balloons of each color.
Help will be appreciated I need help with math
Select all that apply.
Which of the following statements best describes a characteristic of an observational study?
The researcher determines relationships among variables.
The individuals are observed the exact way they act in real life.
The researcher imposes, for example, a treatment on the sample population and then observes their response.
It is the best method to learn about cause-effect relationships.
Answer:
The researcher determines relationships among variables.
The individuals are observed the exact way they act in real life.
Step-by-step explanation:
An observational study can be defined as a type of study in which a researcher observes and measures the effect of a diagnostic test, risk factors, or treatments on individuals without intervening, changing or manipulating who are or aren't exposed to it (controlled conditions).
Hence, the statements which best describes a characteristic of an observational study are;
I. The researcher determines relationships among variables.
II. The individuals are observed the exact way they act in real life.
Additionally, an unobtrusive data collection is a data collection technique used mainly in the social sciences to obtain or gather data without the researcher directly interfering or interfacing with the subject being studied. Thus, it doesn't influence the behavior, action or response of the subjects under study.
pls help!! person with correct answer will be marked brainliest
Which choices are equivalent to the fraction below? Check all that apply.
Answer:
A, B, D, E, F
Step-by-step explanation:
48/64 can be simplified into all of them except C
Choose the three situations that will result in the MOST dramatic increase in the mean.
a. Zeke bowled five frames and earned scores of 120, 90, 110, 105, and 102. He averaged his scores and decided to bowl a sixth frame. He bowled a 225.
b. The average weight of the seven animals at the veterinary clinic was 13 lbs. The next customer brought in his horse that weighed 700 lbs.
c. The average price of the four items Julio bought at the electronics store was $150. He decided to go in and buy a candy bar for $1.25.
d. The 14 items at the yard sale have an average selling price of $5.50. The family decides to also sell a $6.00 plate.
e. Emily played several rounds of golf with friends. She shot an 87, an 83, and a 79. She wasn't happy with her average so she played a fourth round.
f. She scored an 80 on her fourth round. Laura's test scores were 60%, 61%, 54%, and 60%. Her average was very low, so she took her fifth test and earned a 100%.
Answer:
A,B,F
Step-by-step explanation:
I did the test and got it right, hope this helps
What is the Surface Area of this cylinder? Round to the nearest hundredth if needed, Use 3.14 for pi
make a flow chart showing that the triangles below are similar. NO LINKS OR CRAZY LANGUAGES.!!!!!!
Answer: See the attached image
You have the correct idea for the boxes you've filled out. For the first three boxes in column 1, I would be specific which segments you are dividing. So for instance, in the first box, it would be EG/EB = 55/11 = 5. Then the second box would be EF/EC = 35/7 = 5, and so on. The order of the boxes doesn't matter. The three boxes then combine together to help show that the triangles are similar. Specifically [tex]\triangle EFG \sim \triangle ECB[/tex]. The order of the letters is important to help show how the angles pair up and how the sides pair up. We use the SSS similarity theorem here.
The second problem is the same idea, but we use one pair of congruent angles. So we'll use the SAS similarity theorem this time.
What is side e
Angle d and angle f
Please let me know asap
9514 1404 393
Answer:
e ≈ 9.608D ≈ 46.5°F ≈ 38.5°Step-by-step explanation:
The only given angle is between the two given sides, so the Law of Cosines must be used to find the side opposite the angle. It tells you ...
e² = d²+f² -2df·cos(E)
e² = 7² +6² -2·7·6·cos(95°) ≈ 92.321082
e ≈ 9.608
The remaining angles can be found from the law of sines.
sin(D)/d = sin(E)/e
D = arcsin(d/e·sin(E)) ≈ arcsin(7/9.608·sin(95°)) ≈ 46.5°
F = 180° -95° -46.5° = 38.5°
Simplify the expression:
(2p + 1)(2) =
Answer:
4p +2
Step-by-step explanation:
(2p + 1)(2)
Distribute
2p * 2 + 1*2
4p +2
Answer:
4p+2
Step-by-step explanation:
See the steps below:)
If 3,8,9 and x are in proportion find the value of x
Answer:
Step-by-step explanation:
since they are in continued proportion the ratio will be
3/8=9/x
do cross multiplication
8*9=3*x
72=3x
72/3=x
24=x
therefore x =24
Answer:
ans is 24
Step-by-step explanation:
soln
the 3 8 9 and x are in proportion
so 3/8=9/x
3x=72
x=72/3
x=24
determine the value of a cube with side length of 2 and 1/4 cm
Answer:
6 3/4 cm³
Step-by-step explanation:
I'm assuming value means volume, so if I'm wrong, let me know ;).
To find volume, you multiply length x height x width. So you multiply 2 1/4 three times.
Convert 2 1/4 to an improper fraction.
2 1/4 = 9/4
9 x 3 27
-- -- =
4 x 1 4
Now convert 27/4 to a mixed fraction.
27/4 = 6 3/4
So the volume of the cube is 6 3/4 cm³.
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hope it helps
Square metal plate has a density of 10.2 g/cm³ and a mass of 21.93 g
Answer:
2.15cm^3
Step-by-step explanation:
V = Mass / Density
21.93g / 10.2 g/cm^3
2.15cm^3
A 25/9
B 125/9
C 32
D 64
Answer:
Length = 5 feet
Breadth = (5/3) feet
Height(depth) = 2 feet
Volume of the entire tank = Length x Breadth x Height
= [tex]5 \times \frac{5}{3} \times2 = \frac{50}{3}[/tex] ----------(1)
Water is filled upto a height of (1/3) feet
Volume of water in the tank = Length x Breadth x Height
= [tex]5 \times \frac{5}{3} \times \frac{1}{3} = \frac{25}{9}[/tex] -------------(2)
Volume of space needed to be filled = (1) - (2)
= [tex]\frac{50}{3} -\frac{25}{9} = \frac{150-25}{9} = \frac{125}{9} cubic feet[/tex]
OR
Height of tank needed to be filled = 2 - (1/3) = (5/3) feet
Volume of space = Length x Breadth x Height of empty tank
= [tex]5 \times \frac{5}{3} \times \frac{5}{3} = \frac{125}{9} cubic \ feet[/tex]
1 1/6 + 3/4
can someone please help
Answer:
1 11/12
Step-by-step explanation:
convert to common denominators.
1 1/6 = 7/6 = 14/12
3/4 = 9/12
14+9=23
23/12
1 11/12
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hope it helps
Mr. And Mrs. Smith went on vacation by car. When they began the odometer reading in the car was 28,575. When they returned the odometer reading was 29,684.
How many gallons of gas, to the nearest gallon did they use on the trip?
A
48
B
36
C.
Not enough information is given
D
26
You want to put a 2 inch thick layer of topsoil for a new 17 ft by 30 ft garden. The dirt store sells by the cubic yards. How many cubic yards will you need to order
Give y intercepts and x intercepts as shown
Answer:
x-intercept (-3;0) and (1;0)
y-intercept (0;1)
I’m back again :( Please anybody help me
Welcome back....♡
Surface area = 2( 4 × 2 ) + ( 3 × 4 )
+ 2( 4 × 4 ) + 3( 10 × 4 )
+ 3( 4 × 7 )
Surface area = 16 + 12 + 32 + 120 + 84
Surface area = 264 in^2
The half-life of Iodine-131 is approximately 8 days. Find the amount of Iodine-131 left from a 42 gram sample after 16 days.
1) 0.0006 grams
2) 21 grams
3) 10.5 grams
4) 34 grams
Answer:
Step-by-step explanation:
The formula for this is
[tex]N=N_0(.5)^{\frac{t}{H}[/tex] where
N is the amount of the element left after a certain amount of time (for us it is measured in days),
N₀ is the initial amount of the element in grams,
t is the number of days gone by, and
H is the half life of the element. Filling in:
[tex]N=42(.5)^{\frac{16}{8}[/tex] which simplifies a bit to
[tex]N=42(.5)^2[/tex] and a bit more to
N = 42(.25) which gives us a remaining amount of
N = 10.5