Answer:
B. 65
Step-by-step explanation:
600 * 4/5 = 480 seats used by students
55 teachers + 480 students= 535 seats used
600-535 = 65 seats left over
The height, h, of an object that is projected straight downward from a ledge 500 feet above the ground with initial velocity 10 feet per second is given by the equation h = 500 - 10t - 16t^2 where t = time in seconds. After how many seconds will the object be 100 feet above the ground?
A. 2.21 seconds
B. 3.85 seconds
C. 4.70 seconds
D. 40 seconds
The diagram shows a vector of a circle centre O and radius 6 cm. Mn is a chord of the circle. Angle MON is 50degrees. Calculate the area of the shaded segment. Give your answer to three significant figures
Answer:
Area of the shaded region = 1.92 cm²
Step-by-step explanation:
Area of the shaded region = Area of sector OMN - Area of isosceles triangle OMN
Drop a perpendicular OP from vertex O to opposite side MN.
Perpendicular OP will bisect angle MON.
m∠MOP = 25°
By cosine ratio in triangle OPN,
cos(25°) = [tex]\frac{OP}{ON}[/tex]
OP = ON.cos(25°)
OP = 6cos(25°)
OP = 5.438 cm
By sine ratio of angle PON,
sin(25) = [tex]\frac{PN}{ON}[/tex]
PN = ON.sin(25)
= 6sin(25°)
= 2.536 cm
Since, MN = 2(PN)
MN = 5.071 cm
Area of ΔOMN = [tex]\frac{1}{2}(OP)(MN)[/tex]
= [tex]\frac{1}{2}(5.438)(5.071)[/tex]
= 13.788 cm²
Area of sector OMN = [tex]\frac{\theta}{360}(\pi r^{2})[/tex]
Here 'θ' is the angle subtended by the arc MN at the center.
Area of sector OMN = [tex]\frac{50}{360}(\pi )(6^{2})[/tex]
= 15.708 cm²
Area of the shaded region = 15.708 - 13.788
= 1.92
≈ 1.92 cm²
Answer:
Area of the shaded region = Area of sector OMN - Area of isosceles triangle OMN
Drop a perpendicular OP from vertex O to opposite side MN.
Perpendicular OP will bisect angle MON.
m∠MOP = 25°
By cosine ratio in triangle OPN,
cos(25°) = \frac{OP}{ON}ONOP
OP = ON.cos(25°)
OP = 6cos(25°)
OP = 5.438 cm
By sine ratio of angle PON,
sin(25) = \frac{PN}{ON}ONPN
PN = ON.sin(25)
= 6sin(25°)
= 2.536 cm
Since, MN = 2(PN)
MN = 5.071 cm
Area of ΔOMN = \frac{1}{2}(OP)(MN)21(OP)(MN)
= \frac{1}{2}(5.438)(5.071)21(5.438)(5.071)
= 13.788 cm²
Area of sector OMN = \frac{\theta}{360}(\pi r^{2})360θ(πr2)
Here 'θ' is the angle subtended by the arc MN at the center.
Area of sector OMN = \frac{50}{360}(\pi )(6^{2})36050(π)(62)
= 15.708 cm²
Area of the shaded region = 15.708 - 13.788
= 1.92
≈ 1.92 cm²
Suppose you know that ∠S and ∠Y are complementary, and that m∠S = 2(m∠Y) − 60°. Find m∠Y.
The value of m∠Y is
I NEED HELP!!! PLS
Answer:
m∠Y=50°
Step-by-step explanation:
So, we know that ∠S+∠Y=90 and that m∠S=2(m∠Y)-60.
If you plug those things into the equation, you get (2[m∠Y]-60)+m∠Y=90.
Then you multiply 2 and m∠Y: 2m∠Y-60+m∠Y=90.
Combine like terms: 3m∠Y-60=90.
Then you add 60 to both sides: 3m∠Y=150
Divide 3 on both sides: 3∠Y=50
PLz help it will help me so much :]
Answer:
No, not enough information
Step-by-step explanation:
The information given can't help you determine the measurement of the angle, it just tells you the position of the angle.
88 is a solution to (1/8) x =11 because if x = 88 then the equation (1/8) x = 11 is true.
Answer:
True
Step-by-step explanation:
To check to see if the statement given is true we need to substitute x with 88 and solve.
[tex](1/8)x=11[/tex]
Substitute 'x' for 88.
[tex](1/8)88=11\\\\\boxed{11=11}[/tex]
88 is a solution to the equation, therefore the statement is true.
Hope this helps.
Find the mean of the data in the dot plot below.
Answer:
2.5
Step-by-step explanation:
Add up all the numbers, then divide by the total amount of the numbers
1+2+3+4=10
10/4=2.5
Answer:
I think 2.5 years
Step-by-step explanation:
Since mean is the same thing as average,
I added them together
1+2+3+4 = 10
then divided by the amount of numbers there are
10÷4=2.5
Si debes tomar 0.035 litros de agua por cada kg de peso al día, si pesaras 50 kg ¿Cuánta agua deberás beber en un día? ayuda porfavor
Answer:
Deberás beber 1.75 litros de agua en un día.
Step-by-step explanation:
De acuerdo a la información dada, puedes utilizar una regla de tres para encontrar la cantidad de agua que deberás beber en un día si pesas 50 kg dado que debes tomar 0.035 litros por cada kg:
1kg → 0.035 litros
50 kg → x
x=(50*0.035)/1=1.75 litros
De acuerdo a esto, la respuesta es que deberás beber 1.75 litros de agua en un día.
Expand & simplify 4 ( g + 2 ) − 2 ( g − 6 )
Answer:
2g+20
Step-by-step explanation:
multiply the 4 by whats in the parenthasis. and multiply the negative 2 by whats in the parenthasis. combine the like terms.
Which best represents the solution to this system of equations?
Answer:
a. (3,-2) that is the answer
, I already study this lesson
What is the ratio of a:b, knowing that a-b / a+b = 3/5
Answer
i am going to give you 2 answer
1. solving for A is: A=3/5 -b
2. solving for B is: B=3/5 -a
Step-by-step explanation:
correct me if I'm wrong
let me know if it's correct or not
Answer:
soo what is the answer
Step-by-step explanation:
R
Which equation is true for triangle QRS?
100
24
s
sin (1009
3.5
sin)
2.4
3.5
Q
osin
(1009
3.5
sin (0)
2.4
Law of sines: Sin(A) = sin(B)
sin()
C
a
sin (1009
214
sin
3.5
sin 100
214
sin (0)
3.5
Answer: The answer is A
Step-by-step explanation: I took the test on edge and got it right
The equation that is true for triangle QRS is -
Sin(100°)/3.5 = sin(S)/2.4
What is the law of sines?The law of sines can be stated as -
Sin(α)/a = Sin(β)/b = Sin(γ)/c
Given is to identify the equation that is true for triangle QRS.
Refer to the triangle as shown in the image attached. Using the law of sines, we can write -
Sin(α)/a = Sin(β)/b
Sin(100°)/3.5 = sin(S)/2.4
Therefore, the equation that is true for triangle QRS is -
Sin(100°)/3.5 = sin(S)/2.4
To solve more questions on graphs, visit the link below-
https://brainly.com/question/17267403
#SPJ7
The width of a rectangle is a whole number of centimetres.
The length of the rectangle is 7 cm longer than the width.
The perimeter of the rectangle is less than 152 cm.
Find the greatest possible width of the rectangle.
Answer:121
Step-by-step explanation:please use your wand
Ramon’s teacher wrote the following table on the board
She then asked the class to write a rule for the nth term of the geometric sequence represented on the table, using the format an=a(r)^n-1
Select the values for a and r that Ramon should use in order to correctly write the rule for the nth term.
an= ___(___)^n-1
—> number choices
-3
-1/3
1/3
3
9
27
81
please only respond if you know the answer :)
Answer:
23
Step-by-step explanation:
i think if not correct sorry
Sheila has 28 stickers to divide evenly among 3 friends. She thinks there will be no leftovers. Use what you know about factor pairs to explain if Sheila is correct.
Answer:
She is wrong
Step-by-step explanation:
If our target number is 28 then we can create all of the following factor pairs for this number. These would be the following...
1, 2, 4, 7, 14 and 28
As we can see from the factor pairs there is no 3. This means that 3 would not divide evenly by 28 and cannot be multiplied by any whole number to create 28. Therefore, if you divide the 28 stickers by the 3 friends there will be some stickers leftover always.
PLZZ HURRY!!
The histogram shows the scores of students on their most recent history test. How many students scored 80% or better on the test?
A. 8 students
B. 10 students
C. 18 students
D. 22 students
Answer: 18
Step-by-step explanation:
add the the ones above 80% and higher
Help please i always get the numbers mixed up.
-x+y = 5
x - 5y = -9
Solve by elimination
Y and x
Answer:
x = -4 and y = 1
Step-by-step explanation:
-x + y = 5
+ x - 5y = -9 <— let’s eliminate x
————————————-
-4y = -4
y = 1
x - 5y = -9 <— substitute for y
x - 5(1) = -9
x - 5 = -9
+5 = +5
x = -4
I urgently need help!!!!!!
Answer:
Step-by-step explanation:
e
Answer:
Angle KMN is 79°
Hope this helps.
Solve and check -2x + 3 = -11
Answer:
x=7
Step-by-step explanation:
1. -2x+3=-11 << first make sure the x is one one side of the equal sign. so remove the 3, by subtracting if from 11
2. -2x+3=-11
-3 -3
=
3. -2x= -14 << then so isolate the x= divide -2 from -14 (two negatives divided equals a positive)
4. x=7
Please answeerrr :D Will give brainlyest
Answer:
Step-by-step explanation:
(3t + 4) + (4t + 3)
Part a
Remove parentheses
3t + 4 + 4t +3
Add
7t + 7
Part b
3t has the same variable ("t") as 4t. And 4 and 3 are both constants (or numbers). Thus, you can add the 3t and 4t together and add 3 and 4 together
OMG PLEASE HELP!! DONT ANSWER IF YOU DONT KNOW ;-;
Which statement is true
-5.3 > 3.5
-2 > -2.6
- 7.09 < -7.10
Please help me finish !
will give brainiest
Answer:
6. 60
7. 24.25
8. 28.00111604 or 28
Step-by-step explanation:
30 +90 =120 180-120=60
Sin A = a/c, so a = cSin A. Also Cos A = b/c, so b = cCos A so Sin30=14/c=28
Cos30=b/28 b=24.25
now 14^2+24.25^2=c^2 which gives 28.00111604 or 28
If an investment's value can be modeled with A= 325 (1+.027/12)^12t
then which of the following describes the investment?
Answer:
Step-by-step explanation:
It's an investment that has a nominal interest rate of 2.7% compounded monthly
3. The investment has a nominal rate of 27% compounded 12 times per year
Given that,
The investment value should be [tex]A= 325 (1+.027\div 12)^12t[/tex].Based on the above information, the information is as follows:
The above formula represent that the investment should have the nomibal rate of 27% that compounded 12 times per year.
Learn more: brainly.com/question/17429689
-4x + y = -3
-6x + 2y = -8
Answer:
y=3+4x
y=3x-4
Step-by-step explanation:
-4x+y=-3
Add 4x to both sides
y=4x-3
-6x+2y=-8
Add 6x to both sides
2y=6x-8
Divide by 2 on both sides
y=3x-4
un numero aumentado en 5
Answer: x + 5
Step-by-step explanation:
2) y= 4x - 2
3х + 2y = 7
in subsitutuion
Answer:
x=1
Step-by-step explanation:
Substitute the y equation for the variable y in the second question
3x +2(4x-2)=7
3x+8x-4=7
11x-4=7
11x=11
x=1
is x equals 12 a solution to the equation 6 + x = 19
Answer:
13
19 minus 6 is equal to 13 so your answer would be thirteen
Travis wants to build a small rectangular fence. He has enough material to build a fence that has a perimeter of 100 feet. Let x represent the length of the fence in feet.
Travis wants to use all of the available materials. What values of x will fence in an area of at least 600 square feet?
Answer:
x=250?
Step-by-step explanation:
you being vague bro
can someone please help?
Answer:
g
Step-by-step explanation:
A water bottle has a capacity of 1.43 L. What is the bottle's capacity in millimeters? (1 L = 1,000 mL)
A 2,860 mL
B 1,430 mL
C 143 mL
D 14.3 mL
Answer:
B
Step-by-step explanation:
The answer would be B because you are multiplying 1.43 L by 1,000. And The answer would be 1,430 ml :))
Hope this helps :)) plz mark brainliest :))