The area of the trapezoid is [tex]\frac{1}{2}(b1+b2)*h[/tex]
b1 ⇒ length of one of the bases ⇒ 3 kmb2 ⇒ length of the other base ⇒ 5 kmh ⇒ height of trapezoid ⇒ 9kmTherefore the area is:
[tex]\frac{1}{2}*(3+5)*9 =\frac{1}{2}*(8)*9=4*9=36km^2[/tex]
Area: 36 square kilometers
Hope that helps!
given this system of linear equation by appliying inverse method find the unknown variables for 2x+3y=4 x+2y=2
Solve the following 3b/7-1=5
b = 14
Step-by-step explanation:
3b/7 - 1 = 5
+1
3b/7. = 6
x7
3b. = 42
÷3
b = 14
Hope this helps!
The ratio of boys to girls in the school
band is 4:3. If there are 16 boys, how
many boys and girls are in the band?
A. 12
B. 28
C. 7
D. 21
Answer:
B. 28
Step-by-step explanation:
boy to girls
4:3 to 16:?
4x4=16
so you would do
3x4=12
Now add them, 16+12=28
1.Use the diagram to the right to answer the following questions: Person has a mass of 100 kg
1.Calculate the person’s gravitational potential energy before they jump off the platform. SHOW WORK!
2.Calculate the person’s gravitational potential energy when they reach the trampoline on the ground. SHOW WORK!
3.Calculate the person’s gravitational potential energy when they bounce up to their final position. SHOW WORK!
Answer:
See below ~
Step-by-step explanation:
#1)
Gravitational Potential Energy = mgh100 x 9.8 x 109800 J9.8 kJ#2)
mgh100 x 9.8 x 00 J#3)
mgh100 x 9.8 x 549 x 1004900 J4.9 kJHelp Asap.
Pleaseeee
Answer:
the expression is equal to 40
Step-by-step explanation:
When given a= 5 and b=2, you can change your expression to read
3+11(5)-9(2)
All you have to do is simplify and you are given 40 :)
I have a 97 and if I make a 0/300 on a project what will my grade be?
Answer:
If it’s 10%, 90x.90 plus 0x.10 = 81.If it’s 15%, 90x.85 plus 0x.15= 76.5If it’s 20%, 90x.80 plus 0x.20= 72.If it’s 25%, 90x.75 plus 0x.25= 67.5If it’s 30%, 90x.70 plus 0x.30= 63.If it’s 40%, 90x.60 plus 0x.40= 54.If it’s 50%, 90x.50 plus 0x.50= 45.
Step-by-step explanation:
Need help don’t understand for 1-5 please!!!!
Has this ever happened to you? Describe what took place and your reactions to the incident.
can someone please help me with this question
Area = pi x r^2
R is radius which is 1/2 the diameter
r = 18/2 = 9
area = 3.14 x 9^2
Area = 254.34 mm^2
A pipe needs to be cut into pieces that are each 2/5 feet long. If the pipe is 10 feet long, how many pieces can be made from the pipe? Write your answer in simplest form.
Answer:
you can get 4 pieces
Step-by-step explanation:
2.5+2.5+2.5+2.5=10. or 2.5×4=10
which expression is represented by the pharase "the square of y decreased by the quotient of 28 and 7"?
Answer:
y^2 - 28/7
Step-by-step explanation:
What would be the answer to this question? I cannot figure it out.
Answer:
Step-by-step explanation:
64 [tex]s^{12}[/tex] - 125 [tex]y^{30}[/tex] = [tex]2^{6}[/tex] [tex]s^{12}[/tex] - 5³ [tex]y^{30}[/tex] = ( 2² [tex]s^{4}[/tex] )³ - ( 5 [tex]y^{10}[/tex] )³ = ( 4 [tex]s^{4}[/tex] )³ - ( 5 [tex]y^{10}[/tex] )³
You are a financial advisor. You have a client who is 25 years old and has
$10,000 they want to invest into a retirement account. After investing
this money, the client will not be adding any money to the account. The
money will just let it grow until the client reaches age 65. As you are
helping them decide the best investment for their money, you discover the
following options:
-
Account A pays 7% annual interest, compounded quarterly
-
Account B pays 6.8% annual interest com[ounded monthly
-
Account c pays 7.1% annual interest, compounded yearly.
-
Account D ay 6.9% annual interest, compounded daily.
Since it’s your job to determine the best account for your clients money,
you have to figure out the future value of her money.
You know that the following formula calculates compound interest
Answer:
The first option is the best
Step-by-step explanation:
1 (1+ 07/4)^4 = 7.186 % annual
2 ( 1+.068/12)^12 = 7.0159 % annual
3 7.1 %
4 (1 + .069/365)^365 = 7.143
What are the domain and range of y=-5/6(x+2)^2-8?
PLEASE HELP WILL MARK BRAINIST AND GIVE OUT FREE MORE POINTS IF YOU ARE CORRECT I DO CHECK IT PLEASE AND THANK YOU !!
Answer:
Domain: allrealnumbers
Range: f(x) <= -8
Step-by-step explanation:
This equation shows that this shape is a parabola that is opening downwards (because of the negative in the -5/6)
This means it has a highest point. The x+2 means the curve is shifted/slid/tranlated to the right 2 units and the -8 at the end shows that it is slid/shifted/translated down 8 units. So the curve only exists starting from -8 and going down. That is the range f(x) <= -8
All upward and downward opening parabolas have a domain of all real numbers.
Let's see
[tex]\\ \rm\rightarrowtail y=\dfrac{-5}{6}(x+2)^2-8[/tex]
[tex]\\ \rm\rightarrowtail x\in R[/tex]
As x lies on numerator for all real numbers its true and never gets undefinedDomain is R
Now
[tex]\\ \rm\rightarrowtail y=\dfrac{-5(x+2)^2}{6}-8[/tex]
Vertex form of parabola:-
y=a(x-h)²+kOn comparing with this
Vertex=(h,k)=(-2,-8)Hence
Range :-
y≤-8find the square simplify your answer:
(2g-9h)²
Answer:
4g² - 36gh + 81h²
Step-by-step explanation:
Apply the perfect square formula: (a - b)² = a² - 2ab + b²
(2g - 9h)² = (2g)² - 2(2g)(9h) + (9h)²
Simplify:
2g² = 4g²
-2 · 2g = -4g · 9h = -36gh
9h² = 81h²
= 4g² - 36gh + 81h²
hope this helps!
What are the solutions of this quadratic equation?
B.
Step-by-step explanation:[tex]x^2-8x+97=0[/tex]
[tex]x=\frac{-(-8)\pm\sqrt{(-8)^2-4\times1\times97}}{2\times1}\left\{x=\left.\ \frac{-b\pm\sqrt{b^2-4ac}}{2a}\right\}\right.[/tex]
[tex]=\frac{8\pm\sqrt{-324}}{2}[/tex]
[tex]=\frac{8\pm18i}{2}\left\{i^2\right.=-1\Longrightarrow\sqrt{-1}=\left.\ i\right\}[/tex]
[tex]\Rightarrow x_1=4-9i,x_2=4+9i[/tex]
[tex]\therefore Choose\ B.[/tex]
I hope this helps you
:)
Need Help Solving Please and thank you
[tex]a = \frac{(9.5 + 23.1) \times 5.8}{2} \\ [/tex]
[tex]a = \frac{32.6 \times 5.8}{2} \\ [/tex]
[tex]a = 16.3 \times 5.8[/tex]
[tex]a = 94.54 \: \: {m}^{2} [/tex]
HELP PLEASE!!!!!! Only 5 more minutes till i turn it in!!!
I'LL GIVE BRAINLEIST!!!
And 15 points!!
Answer:
<B = 70°
Step-by-step explanation:
First we need to find x, lets plugin these two equations.
2x - 30 = x + 20
Then find like terms
2x = x + 50 =
x = 50
Then we plugin 50 for x
2(50) - 30 =
100 - 30 = 70
<B = 70°
Hi!
The Triangle Angle Sum Theorem states that the sum of the interior angles in all triangles will always be 180 degrees.
We can set up an equation with the given information:
40 + (2x - 30) + (x + 20) = 180
Remove parentheses:
40 + 2x - 30 + x + 20 = 180
Combine like terms:
30 + 3x = 180
Subtract 30 from both sides:
3x = 150
Divide both sides by 3:
x = 50
Now, the problem wants us to solve for angle B.
Angle B is (2x - 30) degrees. We know the value of x, so we just have to substitute:
(2x - 30)
(2(50) - 30)
100 - 30
70
Therefore, angle B is 70 degrees.
A group of four numbers has an average of 14. The first three numbers are 11, 12 and 17. What's the missing number?
Answer:
16
Step-by-step explanation:
So if 4 numbers have an average of 14, that means to find the sum of all 4 numbers, you work backwards & multiply 4x14 to get 56.
Then 56-the sum of the 3 numbers you already have (11+12+17=40)
56-40=16
To double check, to find the average of 4 numbers that total 56, you divide 56 by 4 & get 14
URGENT 40 POINTS PLS HELP ME
Answer:
12
Step-by-step explanation:
multiply 50 by 6 to get to 300
then 6 by 2 and you get 12
Answer:
B. 12
Step-by-step explanation:
The table shows the results after 50 spins; believing the results to be consistent, we would multiply the results by 6 to estimate the results after the spinner is spun 300 times.
I hope this helps.
Two gears are connected by a chain. The larger gear has a linear velocity of 17π/6 inches per second. The angular velocity of the smaller gear is 34π/3 radians per minute.
What is the radius of the smaller gear?
1.25 feet
1.5 feet
15 feet
18 feet
So
[tex]\\ \rm\Rrightarrow v=r\omega[/tex]
v is linear velocityomega is angular velocity[tex]\\ \rm\Rrightarrow r=\dfrac{v}{\omega}[/tex]
[tex]\\ \rm\Rrightarrow r=\dfrac{17\pi}{6}\div\dfrac{34\pi}{3}=\dfrac{17\pi}{6}\times \dfrac{3}{34\pi}[/tex]
[tex]\\ \rm\Rrightarrow r=\dfrac{1}{4}[/tex]
[tex]\\ \rm\Rrightarrow r=0.25ft[/tex]
Convert to ft
0.25(3)=0.75ft1 min=60s
Hence
34π/3×60=34π×20=680πSo
[tex]\\ \rm\Rrightarrow r=\dfrac{17\pi}{6}\times \dfrac{1}{680\pi}[[/tex]
[tex]\\ \rm\Rrightarrow r=\dfrac{1}{40}[/tex]
[tex]\\ \rm\Rrightarrow r=0.025in[/tex]
Convert to ft
0.025(12)0.3ftNone of the above
The radius of the smaller gear is 15 feet, Option C is correct.
What is Velocity?Velocity is defined as the rate of change of distance of a body with respect to time
We can use the relationship between linear velocity and angular velocity for gears to solve this problem:
v = rω
where v is the linear velocity, r is the radius of the gear, and ω is the angular velocity.
We are given the linear velocity of the larger gear, which is 17π/6 inches per second.
v = 17π/6 inches per second
ω = (34π/3) / 60 radians per second
the radius of the smaller gear is:
r = v / ω
= (17π/6) / ((34π/3) / 60)
= 17π/6×60/(34π/3)
=17π/6×60×3/34π
= 1/6 ×60× 3/2
= 180/12
=15 feet
Hence, the radius of the smaller gear is 15 feet.
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A small tree was planted at a height of 9 feet. The tree has been planted for 14 months, and is now 58 feet tall. Which equation could be used to find x, the average number of feet the tree grew each month?
A.
14x + 58 = 9
B.
9x + 14 = 58
C.
14x + 9 = 58
D.
58x + 9 = 14
the anwer to your question is very ieasy it's b
Which ordered pairs show that the relation is not a function?
(0,0)(3,3)
(1,3)(1,4)
(1,3)(4,1)
(3,3)(1,3)
Answer:
(1,3)(1,4)
Step-by-step explanation:
One input cannot have two outputs so one x-value cannot have two y-values.
Mrs.Watt traveled between two cities that were 750 km apart. On the return trip, she increased her average rate of travel by 20 km/hr and made the trip in 10 hours less time. Find her rate of travel in each direction.
Answer:
Let s = his speed on the outbound trip
Then s + 20 = his speed on the return trip
Let t = his travel time on the outbound trip
Then t - 10 = his travel time for the return trip
Given: d = 750
Since distance = speed x time, for the two trips we have
750 = s*t
750 = (s+20)(t-10)
Solve for t in the 1st equation, substitute in the 2nd:
750 = (s+20)(750/s-10)
Solve for s:
750 = 750 - 10s + 15000/s - 200
Simplify:
s^2 + 20s - 1500 = 0
Factor:
(s+50)(s-30) = 0
Take the positive solution, s = 30
So the rates are 30 kph and 50 kph
Select the correct answer.
Which expression is equivalent to the given expression?
what is the result when 1/8 x - 2 5/7 is subtracted from 3 1/4 x + 7 1/14 ?
Answer:
The answer is
→ [tex]3 \frac{1}{8}x + 9\frac{11}{14}[/tex]
Step-by-step explanation:
Please refer to the link for an explanation: https://brainly.com/question/3591541
Taylor makes $12 an hour working at McDonalds. She currently has $94 in her bank account. She would like to buy a new pair of Airpods for $250. How many hours will she need to work to buy the Airpods? Select the equation that represents the story. Select the amount of hours she will need to work
Answer:
12h+94=250, she will need to work 13 hours.
Step-by-step explanation:
we subtract 94 from 250, 250-94=156then we divide it by 12 which equals 13, 13=h.
a jar contains 5 blue marbles, 7 yellow marble, and 8 green marbles. what is the probability of randomly choosing a blue marble, not replacing it, and then choosing a green marble
Answer:
10.526% or 0.10526
Step-by-step explanation:
The probability of choosing a blue marble would be 5/20, or 0.25 and then the probability of choosing a green marble next would be 8/19, or about 0.421. Multiply these probabilities together to get your answer.
Hope this helps:)
What is the surface area, in cm2, of the figure shown above ? Round your answer to the nearest tenth .
Answer:
Hope it helps................
Samuel had 1 7/8 cups of milk. He used 1 5/8 cups of milk to make biscuts. What is the amount of milk, in cups , that samuel had after he made biscuts?
Answer:
1 7/8 - 1 5/8 = 2/8.
Step-by-step explanation:
The amount of milk in cups that Samuel had after he made biscuits is 1/4 cups.
What is Subtraction?Subtraction can be done for any numbers or algebraic expressions. It is the process of taking out certain value from a given amount of number.
The process of subtraction can also be termed as finding difference.
Given that,
Amount of milk Samuel had = 1 7/8 cups
Amount of milk used to make biscuits = 1 5/8 cups
We have to find the amount of milk left after he made the biscuits.
This is found by subtracting the total amount of milk by the amount of milk used to make the biscuits.
Amount of milk left = 1 7/8 - 1 5/8
= 2/8
= 1/4 cups
Hence 1/4 cups of milk will be left.
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