Answer:
The answer is D.
Step-by-step explanation:
First, you have to find the area of circle using the formula :
A = π × r²
A = π × 3²
A = 9π
Given that PHU is an equilateral triangle so all sides have a degree of 60°. Next, you have to find the area of minor sector of P and U by using the formula :
A = (θ/360) × π × r²
A = (60/360) × π × 3²
A = 1.5π
Lastly, you have to subtract the area of sector from the area of circle in order to find the area of shaded region :
A = (9π × 2) - (1.5π × 2)
A = 18π - 3π
A = 15π
Lucia invests $5000 at a rate of 4.5% per year compound interest. Calculate the value of her investment at the end of 7 years.
The value of her investment at the end of 7 years is $11804
How to determine the value?The given parameters are
Principal, P = $5000
Rate, r = 4.5%
Time, t = 7 years
The value is then calculated as:
Value = P * P(1 + r)^t
So, we have:
Value = 5000 + 5000 * (1 + 4.5%)^7
Evaluate the expression
Value = 11804
Hence, the value of her investment at the end of 7 years is $11804
Read more about compound interest at:
https://brainly.com/question/24924853
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3 < y ⩽ 7 where y is an integer Write down all the possible values of y
add 4 i guess. i dont really know
Answer: 4, 5, 6, 7
Step-by-step explanation:
Let’s break this apart into 3 < y and y <= 7.
We can rewrite 3 < y as y > 3, and we also have that y <= 7.
This is equivalent to the verbal expression y is greater than 3 and less than or equal to 7.
We can then conclude that y must be between 4 (since that is the first number greater than 3) and 7 (since y includes 7).
Therefore, y can be 4, 5, 6, or 7!
Hope this helps! :)
A train freight car weighs 25 tons when empty. A conveyor belt pours coal into the car at a constant rate of 1/3 ton per minute until it is full.
The dump truck (Refer to problem 8) weighs 55 tons when filled. At the same time the freight car is being filled, an identical freight car filled
to capacity is being emptied at a rate of 1/6 ton per minute.
How long, in minutes, until the freight cars are the same weight?
The tucks will weigh the same in
minutes.
How much coal will be in each truck when they weigh the same?
There will be
tons of coal in each truck.
Step-by-step explanation:
Step one:
mass of Freight car=25tons
the rate of filling is 1/3 ton per minute
let the time taken to fill the freight car be x
and the total mass after x minute be y
Hence the mass as a function of time is expressed as
y=25+1/3x----------1
mas of dump truck=55tons
rate of being emptied= 1/6 tons per minute
let the time taken to empty the dump truck be x
and the total mass after x minute be y
Hence the mass as a function of time is expressed as
y=55-1/6x----------2
Step two:
equating equations 1 and 2,
1. The tucks will weigh the same in
55-1/6x=25+1/3x
collect like terms
55-25=1/3x+1/6x
30=(2+1/6)x
30=3/6x
30=1/2x
30=0.5x
x=30/0.5
x=60min
or
1 hour
The tucks will weigh the same in 60minutes(1 hour)
2. How much coal will be in each truck when they weigh the same?
For the train freight car, the weight after 60 minutes is
y=25+1/3(60)
y=25+20
y=55tons
55-25=20tons
There will be 20tons
For the dump truck, the weight after 60 minutes is
y=55-1/6(60)
y=55-10
y=45tons
55-45=10tons
There will be 10tons
what is any of these questions dont worry bout the others
Answer:
All that u hav to do is 2 apply BODMAS rule. And it will be done. thanq
Step-by-step explanation:
solve for x : 4 (1 - x) + 2x = -3 (x+1)
Answer: x=-7
Step-by-step explanation:
Find the value of x in the triangle below.
x = ?
Answer:
x=8
Step-by-step explanation:
hope i helped!!!
Answer:
61°
Step-by-step explanation:
180-58=122
122÷2=61
for f(x) = -8x +8, find f(-3)
Answer:
f(x)=-8x+8
f(-3)
ANSWER: 11/8
How long can you hold your breath? A statistical question or nonstatistical question
Answer:
nonstatistical
Step-by-step explanation:
Have a great day and hope this helps
Answer:
statistical
Step-by-step explanation:
i did it
i need this asap!!!! please! will give brainliest and a thanks to fast answers!
Answer:
2 big
30 small
Step-by-step explanation:
possibility
Simplify this algebraic expression completely.
7x - 5(x+6)
Answer:
2x - 30
Step-by-step explanation:
7x - 5(x+6)
7x - 5x - 30
2x - 30
done, hope i helped you and be sure to support me by marking me brainly and thank, and also make a 5.0 vote
Translation of, “Six less than twice the value of x,”.
Answer:
2x-6
Step-by-step explanation:
Find the sum of of a series, I’ll give brainliest if you got the correct answers :)
Write the equation of the line, in slope-intercept form, with the
following information:
slope: -2
point: (5,-4)
Answer:
Step-by-step explanation:
y + 4 = -2(x - 5)
y + 4 = -2x + 10
y = -2x + 6
27 : 18 = 13 : x find x
Answer: 27:18 and 13:x can also be written as 27/18 and 13/x
therefore, 27:18 = 13:x
27/18 = 13/x
27/18 *13= x
x = 19.5
Hope it helped u,
pls mark as the brainliest
and put thanks
^_^
Which expression has a value of 8?
1. 720 divided by 9
2. 720 divided by 90
3. 7200 divided by 9
4. 7200 divided by 90
Answer:
720 divided by 90
Step-by-step explanation:
72 divided by 9 is 8. 720 divided by 9 is 80 because you're keeping the 0, but when dividing, take away the zeros if both numbers have a zero to make it easier
Pls help show work please
Please answer these series of questions! I will give high points and brainliest!
A. Reduce 3/51 to its simplest terms
B. Solve 7 divided by 3 (in fractions!)
C. 19 divided by 3 (fractions)
D. Reduce 50/80 to simplest terms
E. Reduce 9/14 to simplest terms
F. Reduce 36/54 to simplest terms
G. Solve 55 divided by 12 (fractions)
H. Reduce 9/153 to simplest terms
That’s all! ( please answer correct my life is depending on it, my mom will literally beat me up )
Answer:
A: 1/17 or decimal form: 0.058
B: 7/3 or mixed #: 2 1/3
C: 19/3 or mixed #: 6 1/3
D: 5/8
E: 9/14
F:2/3
G: 55/12 or mixed #: 4 7/12
H: 1/17
Step-by-step explanation:
please helpp mecwith this question
♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️
[tex] \frac{1}{R} = \frac{1}{8} + \frac{1}{12} \\ [/tex]
[tex] \frac{1}{R} = \frac{1 \times 3}{8 \times 3} + \frac{1 \times 2}{12 \times 2} \\ [/tex]
[tex] \frac{1}{R} = \frac{3}{24} + \frac{2}{24} \\ [/tex]
[tex] \frac{1}{R} = \frac{3 + 2}{24} \\ [/tex]
[tex] \frac{1}{R} = \frac{5}{24} \\ [/tex]
Inverse both sides
[tex] \frac{R}{1} = \frac{24}{5} \\ [/tex]
[tex]R = \frac{24 \times 2}{5 \times 2} \\ [/tex]
[tex]R = \frac{48}{10} \\ [/tex]
[tex]R = 4.8 \: \: Ω[/tex]
♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️
The correct answer is (( B )) .
♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️
In 2003, the average attendance per game for a football team was about (1 × 104) + (9 × 103) + (9 × 102). What is this number in standard form?
show work
Answer:
1.99 * 10^4
Step-by-step explanation:
Here, we want to write the addition in standard form
= (1 * 10^4) + (9 * 10^3) + (9 * 10^2)
= 10,000 + 9000 + 900
= 19,900
so the number in standard form is;
1.99 * 10^4
HELPPPP plzz!!
A.) Side - Side - Side
B.) Side - Angle - Side
C.) Angle - Side - Angle
D.) Angle - Angle - Side
E.) Hypotenuse - Leg
Oh wait I think I know the answer, c.
Answer:
C
Step-by-step explanation:
angle DAB = angle CBA
angle DBA = angle CAB
line AB = line AB
Since we know that the two angles and 1 side are the same on both triangle ADB and BCA, the property is angle side angle
please solve this problem for me
Answer:
11/4800
Step-by-step explanation:
What is the equation of this graphed line?
Enter your answer in slope-intercept form.
Please answer quickly, I will give brainliest to whoever answers correctly, thank you.
Answer:
y = -9/8x + 7Step-by-step explanation:
Slope-intercept form is:
y = mx + bPoints given:
(0, 7) and (8, -2)y-intercept is
b = 7 as per the first pointAnd the slope is:
m = (-2 - 7)/(8 - 0) = -9/8So the line is:
y = -9/8x + 7Answer:
Required Answer:-points are
(0,7)(8,-2)slope =m
[tex]{:}\longrightarrow[/tex][tex]\sf m={\dfrac {y_2-y_1}{x_2-x_1}}[/tex]
[tex]{:}\longrightarrow[/tex][tex]\sf {\dfrax {-2-7}{8-0}}[/tex]
[tex]{:}\longrightarrow[/tex][tex]\sf {\dfrac {-9}{8}}[/tex]
y intercept:-
7
Hence the equation is
[tex]{:}\longrightarrow[/tex][tex]\sf y={\dfrac {-9}{8}}+7 [/tex]
Write as a product:
a2+b2–2ab –25
Answer: -a2 - 2ab - b2 + 25 =
-1 • (a2 + 2ab + b2 - 25)
Final result :
-a2 - 2ab - b2 + 25
Step-by-step explanation:
2 × x × x × 3 × y × y × y
how do i do this?
Answer: [tex]6x^2y^3[/tex]
Explanation:
The numbers 2 and 3 multiply to 6, so that's why the final coefficient is 6.
The x terms multiply to [tex]x*x = x^2[/tex]
The y terms multiply to [tex]y*y*y = y^3[/tex]
The exponent tells us how many copies of the base to multiply.
So overall, [tex]2*x*x*3*y*y*y = 6x^2y^3[/tex]
the functions f(x), g(x), and h(x), find the average rate of change over the interval -3≤x≤5
explain what 9 represents in each of these numbers
a19
b 91
Answer:
a) 9 is in the ones place.
b) 9 is in the tens place.
Answer:
a=units b=tens
Step-by-step explanation:
You bought a magazine for $6 and 4 candy bars. If you spent a total of $14, how much did each candy bar cost?
Answer:
2$
Step-by-step explanation:
first you need to subtract the cost of the magazine from the total. now you have 8$ left, divide this by the number of candy bars, 4, and you get 2$.
don't forget to add the dollar sign, it might save you points
Solve for x.
*2 =
= 1
A)
-10
22
B)
C)
D
4.
Answer:
1+x=b;b+x=c;c+x=d;d+x=89
Step-by-step explanation:
The measures of the angles of a triangle solve for X
Answer:
x = 7
Step-by-step explanation:
Because this is a right triangle, one angle is a right angle (90°). All triangles have all three angle measures adding up to 180°, so the other two angles' measures add up to 90° (90 + 90 = 180).
Combine like terms of the angle measures.
6x + 9x = 15x
-3 + (-12) = -15
15x - 15
Because the sum of the measures of the two angles have to equal 90,
15x - 15 = 90
Add 15 from both sides.
15x = 105
Divide both sides by 15.
x = 7
To check, substitute 7 in both expressions.
6(7) - 3 = 39
9(7) - 12 = 51
39 + 51 + 90 (the measure of the right angle) = 180, so the value of x is 7.
I hope this helped :)
HEEEEEEEEEEEEEEELLLLLLLPPPPP PLEASE
Answer:
3 1/5
Step-by-step explanation:
I used my calculator, but convert to the greatest common factor which is 15 and multiply, then simplify to 16/5 and turn to a proper fraction 3 1/5.
Answer:
= 16/5 = 3 1/5
Step-by-step explanation: