Answer:
1. 50000
2.
i 274625000cm
ii 274.625m
Step-by-step explanation:
1. Area of a rectangle: length*width
250*200=50000cm
2. Volume of a cube: length^3
i 650^3=274625000cm
ii 650 cm=6.5m; 6.5^3=274.625m
A surveyor is 100 feet from a building. He finds the angle of elevation to the top of the building is 23 degrees. If the surveyor’s eyelevel is 5.3 feet above the ground, find the height of the building.
Answer:
47.7 ft
Step-by-step explanation:
tan= o/a
tan(23)= x/100
x=100/tan(23)
x= 42.4
42.4 + 5.3 = 47.7
Answer:
m∠B = 15°
and
h ≈ 31.28 ft
Step-by-step explanation:
only if it's on edge 2021. this showed up when I put in the question, so imma just assume there are others here like me.
Solve for
X/11=10/12
Give your answer as an improper
fraction in its simplest form.
12x = (10)(11)
12x=110
x=110÷12
x=55/6
Question #7
Correct answer is B
Explain or show steps
Refer to the diagram below. We have the following points
A = base of the streetlampB = base of the personC = tip of the person's shadowD = top of the streetlampE = head of the personThe shadow extends from point B to point C. If we let x be the the horizontal distance from the lamp to the person, then dx/dt represents the speed at which the person is walking away from the lamp. In this case, dx/dt = 4 feet per second.
Let y be the length of the shadow. We can use similar triangles and proportions to help find what y is equal to in terms of x
AD/BE = AC/BC
15/6 = (x+y)/y
15y = 6(x+y)
15y = 6x+6y
15y-6y = 6x
9y = 6x
y = 6x/9
y = 2x/3
y = (2/3)*x
The length of the shadow is 2/3 that of the distance from the person to the lamp.
Now apply the derivative to both sides to compute dy/dt, which represents how fast the shadow is changing.
y = (2/3)x
dy/dt = d/dt[ (2/3)x ]
dy/dt = (2/3)*d/dt[ x ]
dy/dt = (2/3)*dx/dt
dy/dt = (2/3)*4
dy/dt = 2.667
The rate in which the shadow is lengthening is approximately 2.667 ft per second.
In ΔQRS, q = 6.8 inches, r = 1.9 inches and ∠S = 141° . Find the length of s, to the nearest 10th of an inch
c = 141 s =
150 inch
Hassan surveyed 120 of the students in his school about their favorite color. 114 students said their favorite color was purple. What percentage of the surveyed students said their favorite color was purple?
Answer:
95%
Step-by-step explanation:
Hey May I Ask Whats The Rule Of This Number
Answer:
add 4x1, then 4x2, then 4x4, then 4x8, etc
Step-by-step explanation:
Students set a goal of collecting 900 cans for the canned food drive. The number of cans they have collected so far is 82% of their goal. How many more cans do the students need to collect to reach their goal?
Answer:
162 cans
Step-by-step explanation:
100 - 82 = 18
18% of 900 =
0.18 * 900 =
162
4 + (m -n )^4 when m =7 and n = 5 whats the value ?
Answer:
20
Step-by-step explanation:
We plug m and n into the expression because we know that it is. Therefore, the expression is 4+ (7-5)^4. Simplify this to get 4+(2)^4. 2^4 is equal to 2x2x2x2 which is equal to 4x4 which is equal to 16. Therefore, 2^4 is 16. 4+16 is equal to 20. Therefore, the answer is 20.
If this has helped please mark as brainliest
[tex]\huge\text{Hey there!}[/tex]
[tex]\large\textsf{Equation:}[/tex]
[tex]\mathsf{4 + (m - n )^4}[/tex]
[tex]\large\textsf{Solving:}[/tex]
[tex]\mathsf{4 + (m - n )^4}[/tex]
[tex]\mathsf{\mathsf{= 4 + (7 - 5)^4}}[/tex]
[tex]\mathsf{= 4 + (2)^4}[/tex]
[tex]\mathsf{= 4 + (2\times2\times2\times2)}[/tex]
[tex]\mathsf{= 4 + 2\times2\times2\times2}[/tex]
[tex]\mathsf{= 4 + 4\times 4}[/tex]
[tex]\mathsf{= 4 + 16}[/tex]
[tex]\mathsf{= 20}[/tex]
[tex]\large\textsf{Therefore, your answer should be:}[/tex]
[tex]\large\boxed{\frak{20}}\large\checkmark[/tex]
[tex]\huge\text{Good luck on your assignment \& enjoy your day!}[/tex]
~[tex]\frak{Amphitrite1040:)}[/tex]
Make r the subject of x= e + r/d
Step-by-step explanation:
X=e+r/d
swap both sides
e+r/d=x
subtract e from both sides
e-e+r/d=x-e
r/d=x-e
multiply d to both sides
d×r/d=x-e×d
r=x-e×d
If a conversion rate of 8 dollars is worth 13 euros, how many euros do you get
when you convert 500 dollars?
The area of a rectangle is 93.6 square inches. If the length of one of its sides is 5.2 in. what is its perimeter?
the area of a rectangle is the product of its length and width.
1.
Which of the following is acute angle?
Lisa, an experienced shipping clerk, can fill a certain order in 13 hours. Felipe, a
new clerk, needs 15 hours to do the same job. Working together, how long will it
take them to fill the order?
For each of the following variables, identify the type of variable (categorical vs. numerical).
(I) Fuel economy (miles per gallon) of used car
(II) Number of auto insurance claims in a month
1) (I) Categorical , and (II) Categorical
2) (I) Categorical , and (II) Numeric
3) (I) Numeric , and (II) Numeric
4) There is no correct match.
5) (I) Numeric , and (II) Categorical
Answer:
3) (I) Numeric , and (II) Numeric
Step-by-step explanation:
Numeric variable:
The variable assume number values.
Categorical values:
The variable assumes labels. Examples are yes/no, good/bad.
(I) Fuel economy (miles per gallon) of used car
(II) Number of auto insurance claims in a month
Both of these variables are numbers, none have labels, so they are both numeric. The correct answer is given by option 3).
The diameter of a circle is 4 meters. What is the circles circumference
Answer:
12.56m²
Step-by-step explanation:
So the formula for the circumference of a circle is π x diameter, so we just have to plug into our equation (we're using 3.14 as π):
3.14 x 4 = 12.56
So the circumference of your circle is 12.56 meters²
hope this helps:)
Dr. Gavin is conducting a 2 x 4 independent-groups factorial design. Assuming he wants 25 people in each cell, how many participants does Dr. Gavin need to recruit
Answer:
Dr. Gavin needs to recruit 200 participants.
Step-by-step explanation:
Dr. Gavin is conducting a 2 x 4 independent-groups factorial design.
This means that there will be 2*4 = 8 cells.
Assuming he wants 25 people in each cell, how many participants does Dr. Gavin need to recruit?
25 people in each cell, 8 cells. So
25*8 = 200
Dr. Gavin needs to recruit 200 participants.
(PLEASE HELP) (NO SPAM) Complete the special right tringale:
What is the length of (BD)?
What is the length of (BC)?
Answer:
Step-by-step explanation:
BD is opposite the 30° angle. The sine of 30° is 0.5. The sin of an angle in a right triangle is opposite/hypotenuse so BD = sin 30°x8.
Now you have two known lengths The third can be found by applying the Pythagorean theorem: BC²+BD²=CD², from which you can establish a numerical value for BC.
A point (-20, 48 ) is on the terminal side of angle 8. Find the exact value of sin 0.
A. 5/13
B. -5/13
C. -12/13
D. 12/13
Answer:
D. 12/13
Step-by-step explanation:
Hyp = √( (-20)² + 48² )
Hyp = 52
Sin = opp/hyp
sin = 48/52 = 12/13
The value of trigonometric ratio Sinθ = 12/13.
Hence option D is correct.
According to the given point
The base of the triangle be = -20
Perpendicular of triangle = 48
We know that the Pythagoras theorem for a right-angled triangle:
(Hypotenuse)²= (Perpendicular)² + (Base)²
Therefore,
Hypotenuse = √( (-20)² + 48² )
Hypotenuse = 52
Since we know that,
Sinθ = opposite side of θ /hypotenuse
= 48/52
= 12/13
Hence,
Sinθ = 12/13
Learn more about the triangle visit;
brainly.com/question/1058720
#SPJ2
The complete question is:
A point (-20, 48 ) is on the terminal side of angle θ .
Find the exact value of Sinθ.
A. 5/13
B. -5/13
C. -12/13
D. 12/13
Urn 1 contains 4 blue tokens and 9 red tokens; urn 2 contains 12 blue tokens and 5 red tokens. You flip a coin twice and if you see head two times, then you pick urn 2 else (if you see at least once the tail) you pick urn 1 and draw out a token at random from that urn. Given that the token is blue, what is the probability that the token came from urn 2
Answer:
0.433
Step-by-step explanation:
From the given information;
Let represent Urn 1 to be Q₁ ;
Urn 2 to be Q₂
and the event that a blue token is taken should be R
SO,
Given that:
Urn 1 comprises of 4 blue token and 9 red tokens,
Then, the probability of having a blue token | urn 1 picked is:
[tex]P(R|Q_1) = \dfrac{4}{4+9}[/tex]
[tex]= \dfrac{4}{13}[/tex]
Urn 2 comprises of 12 blue token and 5 red tokens;
Thus [tex]P(R| Q_2) = \dfrac{12}{12+5}[/tex]
[tex]=\dfrac{12}{17}[/tex]
SO, if two coins are flipped, the probability of having two heads = [tex]\dfrac{1}{4}[/tex]
(since (H,H) is the only way)
Also, the probability of having at least one single tail = [tex]\dfrac{3}{4}[/tex]
(since (H,T), (T,H), (T,T) are the only possible outcome)
Thus: so far we knew:
[tex]P(Q_2) = \dfrac{1}{4} \\ \\ P(Q_2) = \dfrac{3}{4}[/tex]
We can now apply Naive-Bayes Theorem;
So, the probability P(of the token from Urn 2| the token is blue) = [tex]P(Q_2|R)[/tex]
[tex]P(Q_2|R) = \dfrac{P(R \cap Q_2)}{P(R)} \\ \\ = \dfrac{P(R|Q_2) * P(Q_2)}{P(R|Q_2) \ P(R_2) + P(R|Q_1) \ P(Q_1)} \\ \\ \\ \\ = \dfrac{\dfrac{12}{17} \times \dfrac{1}{4} }{\dfrac{12}{17} \times \dfrac{1}{4} + \dfrac{4}{13} \times \dfrac{3}{4}} \\ \\ \\ = \dfrac{13}{30}[/tex]
= 0.433
Oak Street and Elm Street run parallel to each other. When Main Street
intersects them, it forms exterior 28, measuring 60°. What is the-
measure of
22?
Answer:
100degrees
Step-by-step explanation:
From the given diagram;
<2 = <6 (corresponding angle)
Since <6 + 80 = 180
<6 = 180 - 80
<6 = 100 degrees
Since <2 = <6, hence <2 = 100degrees
Carlos plays college soccer, and will attempt two goals in a row.
A = the event Carlos is successful on his first attempt. P(A) = 0.60.
B = the event Carlos is successful on his second attempt. P(B) = 0.55.
The probability that he makes the second goal GIVEN that he made the first goal is
0.35
What is the probability that he makes both goals?
Someone help me with this pls ty :) Math. No Fake answers please!!!
Answer:
-1 , 5 for the original figure and 7, 2 for the final figure
Step-by-step explanation:
Self Explanatory
If you want explanation, comment on this answer and I will tell you
Find cotθ if θ terminates in Quadrant III and secθ = 2
a. - (sqrt 3)/3
b. (sqrt 3)/3
c. - sqrt 3
d. sqrt 3
Answer:
we have
secθ = 2
[tex] \frac{1}{cos θ} [/tex]=2
Cosθ =[tex] \frac{1}{2 }[/tex]
[tex] \frac{b}{h }=\frac{1}{2 }[/tex]
b=1
h=2
p=[tex] \sqrt{2²-1} = \sqrt{3} [/tex]
again
Cot θ=[tex] \frac{b}{p }[/tex]
Cot θ=[tex] \frac{1}{ \sqrt{3}} [/tex]
Cot θ=[tex] \frac{\sqrt{3}}{3} [/tex]
It lies in Quadrant III cot is positive
Cot θ=[tex] \frac{\sqrt{3}}{3} [/tex]
b. (sqrt 3)/3
If somebody keeps on trying to take something from you and u tell them to quit or youll punch them should u actually do it? first gets brainliest
Answer:
yes
Step-by-step explanation:
Which of the statements below are true? Select all that apply. A) The table shows a proportional relationship B) The table does not show a proportional relationship C) With $3.00, you could buy 10 bananas D) Each banana costs $0.30
Answer:
go to school, do your work, you are only cheating yourself, not the school, or end up homeless
Step-by-step explanation:
How do I simplify 8 - 4(x - 7x) + 3
Answer:
11 + 24x
Step-by-step explanation:
8 - 4(x - 7x) + 3
8 - 4x + 28x + 3
11 - 4x + 28x
11 + 24x
Answer:
8-4x+28x+3 = 24x+11
Step-by-step explanation:
brainliest?
How to find Surface Area & Volume of Cylinder???
please help......
Answer:
A cylinder's volume is π r² h, and its surface area is 2π r h + 2π r².
Twelve times of a number decreased by lo is equal to 14. write this in a mathematical sentence and find the number
Answer:
12n-10=14, n=2
Step-by-step explanation:
( Twelve times of a number decreased by 10 is equal to 14 ) This sentence can be written mathematically to be: 12n-10=14
The answer: Add 10 to both sides: 12n-10=14 > 12n-10+10=14+10 > 12n=24
Divide both sides by 12: 12n=24 > [tex]\frac{12n}{12} =\frac{24}{12}[/tex] > n=2
Find the length of side x in simplest radical form with a rational denominator
60°
3
30
X
Answer: 5/2
Explanation:
According to 30-60-90 triangle rule:
The side opposite of 30 degree is equal to half of the hypotenuse and the hypotenuse here is 5 so therefore x = 5/2
Write the log equation as an exponential equation. You do not need to solve for x.
log (x-6) (6) = 3x – 5
Answer:
(x-6)^3x-5 =6
Step-by-step explanation:
logb a=c ------> b^c =a