Answer:
8.75cm²
Step-by-step explanation:
First we need to find the angle subtended by the arc
L = theta/360 * 2pir
3.5 = theta/360 * 2*3.14(5)
3.5 = theta/360 * 31.4
theta/360 = 3.5/31.4
theta/360 = 0.11146
theta = 0.11146 * 360
theta = 40.13 degrees
Area of the sector = theta/360 * pir^2
Area of the sector = 40.13/360 * 3.14*25
Area of the sector = 40.13/360 * 78.5
Area of the sector = 8.75cm
Hence the area of the sector is 8.75cm²
2
A person that is 6 feet tall casts a shadow that is 2.5 feet long. At the same time, a 120 foot tall building casts a shadow. What is the length of the shadow?
feet
Answer:
The building's shadow is 50 ft
Step-by-step explanation:
[tex]\frac{6}{2.5} =\frac{120}{x} \\\\6x=300\\x=50[/tex]
find the area of the right triangle.
Answer:
16 units²
Step-by-step explanation:
1/2x4x8=16
Whoever responds first will get marked Best! No links or else I will ban you!Mary is using a triangular piece of cloth to make a scarl for her teddy bear. The base of the scarf is 18 cm and height is 12 cm. How many square
centimeters of cloth does Mary have?
Answer:
108 sq cm
Step-by-step explanation:
18x12 = 216
216/2 = 108
I WILL GIVE BRAINERLEST ABD LIKE AND 5 STARS IF YOU ANSWER
How many people n would be seated in
each section if there were 27 total
people in the gym?
Answer:
IT SAYS IT 27 PEOPLE WOULD BE SEATED
Step-by-step explanation:
work out 5×6 - 8 ÷2
Answer: 26
Step-by-step explanation:
5×6 - 8 ÷2
= 30 - 8 ÷2
= 30 - 4
= 26
Answer:
26
Step-by-step explanation:
so we start off with 5x6 from PEMDAS so 5x6 = 30
then we have 8 divided by 2 = 4
30-4 = 26
Find the perimeter of the following shapes
3.6 cm
3 cm
7.2 cm
Step-by-step explanation:
Perimeter = 3.6 + 3 + 702
= 708.6 cm
Parts of the Arctic have 21 hours of daylight each summer day. What
fraction of the day is dark? Show your work. Write your answer in lowest
terms.
ok so can someone please answer because this is for a test
Answer:Parts of the Arctic have 21 hours of daylight each summer day. What fraction of the day is dark? Show your work. Write your answer in lowest
terms.
Step-by-step explanation: 24 hours
Day Length. Day length varies with the time of year and the latitude at which you are situated. Because of the earth's tilt, areas above the Arctic Circle receive 24 hours of sunlight each summer, but 24 hours of darkness each winter.
HELP DUE BY 1pm PACIFIC NEED HELP ASAP
I'm backkkk!
40 = 5 (w - 2) would be the equation.
40 = 5w - 10 using the distributive property.
+ 10 + 10 because you must add to both sides to get rid of the 10.
50 = 5w
/5 /5 again, keep the same on both sides, and...
10 = w
Two forces of 90 newtons and 58 newtons act simultaneously on an object. The angle between the two forces is 57°. Find the magnitude of the resultant, to the nearest 10th of a newton.
Answer:
131.0 N
Step-by-step explanation:
Let the 90 N force is acting a horizontal force on the object
Horizontal force = 90 + 58sin33
Vertical force = 58cos33
∴The resultant force = √(90 + 58sin33)² + (58cos33)²
= 131.0 N
Find the absolute maximum and absolute minimum values of f on the given interval. f(x) = x + 16/x , [0.2, 16]
Answer:
Absolute Maximum: (0.2 , 80.2)
Absolute Minimum: (4 , 8 )
Step-by-step explanation:
istribute and simplify these radicals square root 12 times (-1+ square root 5)
Here's link to the answer:
tinyurl.com/wpazsebu
El desplazamiento (en metros) de una partícula que se mueve
en línea recta esta dado por s = 12 – 8t + 18, donde t se
mide en segundos.
a) Encuentre la velocidad promedio en cada intervalo de
tiempo:
i) [3, 4] ii) [3.5, 4]
iii) [4, 5] iv) [4, 4.5]
b) Halle la velocidad instantánea cuando t = 4.
c) Dibuje la grafica de s como función de t y trace las rectas
secantes cuyas pendientes son las velocidades promedio
en el inciso a) y la recta tangente cuya pendiente es la
velocidad instantánea en el inciso b).
Answer:
c
Step-by-step explanation:
hize la misma pregunta que vos
The average velocities for the given time intervals are,
(i) -8 m/s,
(ii) -12 m/s,
(iii) 4 m/s, and
(iv) 4 m/s. The instantaneous velocity at t = 4 is -8 m/s. The attached graph of s as a function of t is a straight line with slope -8, showing the secant and tangent lines.
a) To find the average velocity in each time interval,
calculate the change in displacement (Δs) divided by the change in time (Δt) within each interval.
s = 12 - 8t + 18
i) [3, 4]:
Δs = s(4) - s(3) = (12 - 8(4) + 18) - (12 - 8(3) + 18) = -8
Δt = 4 - 3 = 1
Average velocity = Δs / Δt = -8 / 1 = -8 m/s
ii) [3.5, 4]:
Δs = s(4) - s(3.5) = (12 - 8(4) + 18) - (12 - 8(3.5) + 18) = -6
Δt = 4 - 3.5 = 0.5
Average velocity = Δs / Δt = -6 / 0.5 = -12 m/s
iii) [4, 5]:
Δs = s(5) - s(4) = (12 - 8(5) + 18) - (12 - 8(4) + 18) = 4
Δt = 5 - 4 = 1
Average velocity = Δs / Δt = 4 / 1 = 4 m/s
iv) [4, 4.5]:
Δs = s(4.5) - s(4) = (12 - 8(4.5) + 18) - (12 - 8(4) + 18) = 2
Δt = 4.5 - 4 = 0.5
Average velocity = Δs / Δt = 2 / 0.5 = 4 m/s
b) To find the instantaneous velocity when t = 4, we'll find the derivative of s with respect to t and then substitute t = 4.
s = 12 - 8t + 18
ds/dt = -8
Instantaneous velocity at t = 4 is equal to the derivative at t = 4:
Instantaneous velocity at t = 4: ds/dt (t=4) = -8 m/s
c) To sketch the graph of s as a function of t and draw the secant lines (average velocities) and the tangent line (instantaneous velocity):
Attached graph.
The graph of s as a function of t is a straight line with a slope of -8 and a y-intercept of 30. At t = 4, the instantaneous velocity is -8 m/s.
Secant lines:
Draw a straight line connecting the points (3, 10) and (4, 2) for the interval [3, 4].
Draw a straight line connecting the points (3.5, 4) and (4, 2) for the interval [3.5, 4].
Draw a straight line connecting the points (4, 2) and (5, 6) for the interval [4, 5].
Draw a straight line connecting the points (4, 2) and (4.5, 4) for the interval [4, 4.5].
Tangent line:
At t = 4, draw a straight line with a slope of -8 and passing through the point (4, 2).
The attached graph will show the secant lines with different slopes as the average velocities in each interval and the tangent line with a slope of -8 as the instantaneous velocity at t = 4.
learn more about average velocity here
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The above question is incomplete , the complete question is:
The displacement (in meters) of a moving particle
in a straight line is given by s = 12 – 8t + 18, where t is
measured in seconds.
a) Find the average velocity in each time interval:
i) [3, 4] ii) [3.5, 4]
iii) [4, 5] iv) [4, 4.5]
b) Find the instantaneous velocity when t = 4.
c) Plot s as a function of t and draw the secant lines whose slopes are the average velocity in part (a) and the tangent line whose slope is the
instantaneous velocity in part (b).
Evaluate 4x – 3 for x = -2.
Answer: -11
Step-by-step explanation:
4(-2)-3
-8-3
=-11
Identify the vertex of the graph. Tell whether it is a minimum or a maximum.
Answer:
Vertex = (-1, 2)
Maximum
Step-by-step explanation:
The middle point of the graph is at x coordinate -1 and the point is at the top while the graph slopes down so it is a maximum point and not a minimum point.
The sum of the ages of two brothers is 38. in four years ago the age of the elder brother was the square of the younger brother. Find their ages
Answer:
Elder brother: 25
Younger brother: 5
Step-by-step explanation:
38 - (4+4)= 30
Now trial all square numbers
e.g 2 + 4 = 6 (does not work)
5 + (5x5)= 30
Principle $1950 rate 4 1/2% time 9
Answer:
Interest = [tex] \boxed{\$ 789.75} [/tex]
Explanation:
Interest [I] = principle × rate × time [prt]
______________________________
x% = x/100
a b/c = a + (b/c) = (ac + b) / c
______________________
I = prt
I = ($1,950)(4 ½%)(9)
I = ($1,950)(0.045)(9)
I = ($87.75)(9)
I = ($789.75)
I = $789.75
The temperatures at 6:00 am one morning in four cities are given below.
Paris
-5 °C
Oslo
-12 °C
-3°C
London
Brussels
-1 °C
a) Which city was the warmest?
Brussels
b) Give the difference in temperature between Oslo and London.
°C
At 6:00 pm, the temperature in Paris was 3°C higher than at 6:00 am.
c) What was the temperature at 6:00 pm in Paris?
°C
Answer:
-9
Step-by-step explanation:
The city of Brussels will be the warmest. The difference in temperature between Oslo and London is -9°C and the temperature at 6:00 pm in Paris will be -2°C.
What is the arithmetic operator?Arithmetic operators are four basic mathematical operations in which summation, subtraction, division, and multiplication involve.,
(a)
A city which has the lowest temperature will be warmest since -1°C is the lowest so Brussels will have the warmest city.
(b)
The difference in temperature between Oslo and London will be as,
-12 °C - (-3 °C) = -9 °C.
(c)
At 6.:00 pm the temperature will be -5 °C + 3 °C = -2 °C.
Hence "The city of Brussels will be the warmest. The difference in temperature between Oslo and London is -9°C and the temperature at 6:00 pm in Paris will be -2°C".
To learn more about the arithmetic operators,
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Can you help me please?!
30.) d=26
Take the equation
2 x (7 + d)
Now plugin 6 for d
2 x (7 + 6)
2 x (13)
26
31.) c
Take the equation
16b+8/2
Now plugin 4 for b
16(4)+8/2
64+8/2
64+4
68
I need help ASAP I’m confused with this problem
Answer:
I believe it's A
Step-by-step explanation:
not sure but
Which expression is not equivalent to the other three? A: 2x + 2 + 2x + 3x - 8 B: 4 + 7x - 2 C: -2 + 5x + 2x - 4 D: 8x - x - 6
Answer: B
Step-by-step explanation:
Answer:
B
Step-by-step explanation:
Let's look at A.
A simplified = 7x - 6
Let's look at B
B simplified = 2 + 7x
Let's look at C
C simplified = -6 + 7x OR 7x - 6
Let's look at D, lastly.
D simplified = 7x - 6
In conclusion, we can see that 7x - 6 is the answer we need to arrive at to have equivalent expressions. Only B does not have that answer, so B is the answer.
Hope that helps!
Please help ill give BRAINLIEST!
Answer:
27 feet
Step-by-step explanation:
If you draw the triangle, the hypotenuse is 387 feet and an angle is 4 degrees. The leg opposite this angle is [tex]387 \cdot \sin 4^\circ[/tex], which is about 26.996, so the nearest foot is 27 feet.
(brainliest pls)
WILL GIVE BRAINLIST BLS HELP Find z. Just write the number. Answer should be a whole number.
Answer:
I think the anwser is 8
Step-by-step explanation:
Answer:
It will be 8
Step-by-step explanation:
because the triangle will be in a ratio of 1:[tex]\sqrt{3}[/tex]:2, here 1 corresponds to 4, so the sides will be 4, 4\sqrt{3} and 8!
What is the area of this figure?
Answer:
area = 400 in²
Step-by-step explanation:
parallelogram area = 20 x 16 = 320
triangle area = 1/2(20)(8) = 80
320 + 80 = 400 in²
please help NO LINKS I WILL REPORT YOU ( i will also mark brainliest)
Answer:
6.96 is the area of this triangle! So, option A is correct.
Hope this helps and please mark brainliest!
What is the area of an equilateral triangle with sides of length 20?
Answer:
173.2
Step-by-step explanation:
area of equilateral triangle = √3 / 4 l^2
so area =173.2
-2(x+2)=1/4(-8x-4) how many solutions does this have
Answer:
It has no solutions.
-2(x+2)=1/4(-8x-4) \
You have to water it down like a normal equation.
-2x-4=-2x-1
& from here you can just tell it won't have any solutions since it is not equal.
A CD player is advertised at a price of $1200. It could be bought cash or by hire purchase. The table below shows the terms of payment.
If each cube in the rectangular prism measures 1 cubic inch, what is the volume of the prism?
A.
40 cubic in
B.
168 cubic in
C.
84 cubic in
D.
144 cubic in
hmm, how many cubes are there?
length times width times height
we have 6 cubes long, 6 wide and 6 tall
6*6*6=216 cubes
each is 1 cubic feet
216 times 1=216
216 cubic feet
A is answer
Determine if the measurements below will create a triangle. Then, explain your thinking.
55°, 80°, 55°
Answer:
No, the measurements given cannot be used to create a triangle.
Explanation:
The sum of all the angles of a triangle should be 180°.
Here,
55°+80°+55°=190°
which is not equal to 180°.
So, the traingle cannot be formed using the given measurements.
Evaluate 7!4!/3!6! Simplyfy your answer
Answer:
28
Step-by-step explanation:
Steps 1 : for the top numerator 7!4! =
7! = 7×6×5×4×3×2×1
4!=4×3×2×1
step 2 : for the bottom denominator 3!6!
3!= 3×2×1
6!=6×5×4×3×2×1
step 3 : is to cancel out all number that looks like on numerator over denominator
it will leave you with 7 × 4 only on the numerator = 28
because all the number in the denominator will cancel out with some on the numerator .
I hope it helps
The simplified solution of the factorial expression (7!4!)/(3!6!) is 14/3.
The given expression is
(7!4!)/(3!6!)
We can simplify it using properties of factorials.
First, let's expand each factorial:
7! = 7 x 6 x 5 x 4 x 3 x 2 x 1
4! = 4 x 3 x 2 x 1
3! = 3 x 2 x 1
6! = 6 x 5 x 4 x 3 x 2 x 1
Now, we can substitute these factorials into the original expression:
(7!4!)/(3!6!) = (7 x 6 x 5 x 4 x 3 x 2 x 1 x 4 x 3 x 2 x 1) / (3 x 2 x 1 x 6 x 5 x 4 x 3 x 2 x 1)
Next, we can cancel out common factors from the numerator and denominator:
(7 x 4)/(3 x 2 x 1) = 28/6
Simplifying:
28/6 = 14/3
Therefore, the simplified solution to (7!4!)/(3!6!) is 14/3.
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