Answer:
C(1,99) and E(5,8)
Step-by-step explanation:
Discrete data are numerical values that are distinct and outstanding mostly assigned from surveys by counting e.t.c
Thus, these numerical values cannot be negative as we can not count negative values.
the data can only take known exact values so it is not continuous. From the given sets of data the sets that satisfy the given guidelines are C(1,99) and E(5,8)
The length of a rectangle is twice its width. If the area of the rectangle is 5 , find its perimeter
Answer:
9.48
Step-by-step explanation:
The perimeter of a rectangle is the distance around the the shape. It can be found by adding each side of the shape to find a total. In contrast, the area of a shape is the amount inside a shape. It is found using multiplication or A = l*w. Since the width is w and the length is twice its width or 2w, use these expressions in the area formula to find their amount. Then add them together to find the perimeter.
[tex]A = l*w5 = w(2w)\\5 = 2w^2\\2.5 = w^2\\1.58 = w[/tex]
The width of the rectangle is w = 1.58. The length is 2w = 2 (1.58) = 3.16.
Add these amounts by P = l + l + w + w to find the perimeter.
P = 3.16 + 3.16 + 1.58 + 1.58 = 9.48
Find the surface area of the figure
Answer:
[tex]\large\boxed{S.A.=1,119\ in^2}[/tex]
Step-by-step explanation:
We have:
two triangles with base b = 17in and height h = 7in
two rectangles with length l = 17in and width w = 10in
two rectangles with length l =11in and width w = 10in
one rectangle with length l = 8in and width w = 11in
one rectangle with length l = 15in and width w = 11in
one rectangle with length l = 17in and width w = 11in
The formula of an area of a triangle:
[tex]A_\triangle=\dfrac{bh}{2}[/tex]
b - base
h - height
The formula of an area of a rectangle:
[tex]A_{\boxed{\ }}=lw[/tex]
l - length
w - width
Calculate:
[tex]A_\triangle=\dfrac{(17)(7)}{2}=59.5\ in^2\\\\A_1=(17)(10)=170\ in^2\\\\A_2=(11)(10)=110\ in^2\\\\A_3=(8)(11)=88\ in^2\\\\A_4=(15)(11)=165\ in^2\\\\A_5=(17)(11)=187\ in^2[/tex]
The Surface Area:
[tex]S.A.=2A_triangle+2A_1+2A_2+A_3+A_4+A_5[/tex]
Substitute:
[tex]S.A.=2(59.5)+2(170)+2(110)+88+165+187=1,119\ in^2[/tex]
Can someone help me ? i have no clue how to figure this out
[tex] \cos t (\sec t - \cos t) = \sin^2 t [/tex]
[tex] \cos t (\dfrac{1}{\cos t} - \cos t) = \sin^2 t [/tex]
[tex] \dfrac{\cos t}{\cos t} - \cos^2 t = \sin^2 t [/tex]
[tex] 1 - \cos^2 t = \sin^2 t [/tex]
Use the identity: [tex] \sin^2 t + \cos^2 t = 1 [/tex] and solve for [tex] \sin^2 t [/tex]. You get: [tex] \sin^2 t = 1 - \cos^2 t [/tex]
Do the substitution on the left side to get:
[tex] \sin^2 t = \sin ^2 t [/tex]
[tex] \cos \: t ( \sec \: t - \cos \: t) = \sin^{2}t \\ \\ 1. \: 1 - \frac{ \cos \: t }{ \sec \: t } = \sin^{2} t \\ 2. \: 1 - \cos \: t \cos \: t = \sin^{2} t \\ 3. \: 1 - \cos^{2} t = \sin^{2} t \\ 4. \: 1 - \cos^{2} t - \sin^{2} t = 0 \\ 5. \: 1 - 1 = 0 \\ 6. \: 0 = 0 \\ 7. \: infinitely \: many \: solutions[/tex]
the starting salary at a company is $38000 per year.the company automatically gives a raise of 3.5% per year.write the explicit and recursive frmulas for the geometric sequence formed by the salary increase.
Final answer:
The explicit formula for the salary increases represented as a geometric sequence is a_n= 38,000(1.035)^(n-1), and the recursive formula is a_1= $38,000 and a_n= a_(n-1) × 1.035 for n > 1, reflecting an annual raise of 3.5%.
Explanation:
The starting salary at a company is $38,000 per year with an annual raise of 3.5%. To represent the salary increases as a geometric sequence, we need both explicit and recursive formulas.
The explicit formula for a geometric sequence is an= a1 × r(n-1), where a1 is the first term, r is the common ratio, and n is the term number. In this case, a1= $38,000 and r = 1.035 (since the salary increase is 3.5%, or 0.035 in decimal form, plus the original amount, hence 1 + 0.035). Therefore, the explicit formula is an= 38,000(1.035)(n-1).
The recursive formula defines each term based on the previous term. It can be written as a1= $38,000, an= a(n-1) × 1.035, for n > 1. This means that starting from the second year (when n > 1), the salary is obtained by multiplying the previous year's salary by 1.035.
The temperature in frostville was at 50*F at midnight,and it dropped at a constant rate for the next 10 hours.
After 10 hours the temperature is shown on the graph as 30 degrees.
50 degrees - 30 degrees = 20 degrees.
The temperature dropped 20 degrees in 10 hours.
Divide the change by the time:
20 degrees / 10 hours = 2 degrees per hour.
Because the temperature dropped, the change would be negative.
The answer is D. -2 degrees per hour.
Find the measure of an angle with measure between 0 degrees and 360 degrees that is coterminal with an angle measuring 800 degrees.
To find a coterminal angle to 800 degrees within the 0 to 360-degree range, divide 800 by 360 and find the remainder, which is 80 degrees. Hence, 80 degrees is the angle that's coterminal with 800 degrees.
Explanation:To find an angle that is coterminal with 800 degrees, which means an angle that shares the same terminal side as the 800-degree angle but is between 0 degrees and 360 degrees, we use the concept of coterminal angles. Since a complete circle has 360 degrees, we can subtract or add multiples of 360 degrees to any angle to find a coterminal angle.
Here’s how we find it for 800 degrees:
Divide 800 by 360 to find how many complete turns the angle makes: 800 ÷ 360 = 2.22. This shows the angle makes more than 2 full rotations.Find the remainder when 800 is divided by 360 to find the coterminal angle within the 0 to 360-degree range. The remainder is 80 degrees (800 - 720 = 80).Therefore, 80 degrees is the angle between 0 degrees and 360 degrees that is coterminal with an angle measuring 800 degrees.
The temperature in Franklin city is -5°C. The temperature in Silver city is 4° less what is the temperature in Silver city .
Answer:
-9 C
Step-by-step explanation:
Subtract 4 from -5 will equal -9
Jim Juice treats that are in the shape of a cone. The molds he bought are each 3 inches (in.) deep with a diameter of 3 in. What is the approximate volume of juice needed for Jim to make 6 juice treats?
A.169.6 in
B.127.2 in
C.84.8 in
D.42.4 in
Answer:
Option D. [tex]42.4\ in^{3}[/tex]
Step-by-step explanation:
we know that
The volume of the cone (juice treats) is equal to
[tex]V=\frac{1}{3}\pi r^{2}h[/tex]
we have
[tex]r=3/2=1.5\ in[/tex] ----> the radius is half the diameter
[tex]h=3\ in[/tex]
assume
[tex]\pi=3.14[/tex]
substitute
[tex]V=\frac{1}{3}(3.14)(1.5)^{2}(3)=7.065\ in^{3}[/tex]
Multiply the volume of one juice treats by 6
[tex](6)7.065=42.39=42.4\ in^{3}[/tex]
A. concave dodecagon
B. Concave hexagon
C. Convex hexagon
D. Convex dodecagon
Answer:
bro whats the question
Step-by-step explanation:
Need help with Geometry
Answer:
Answer: 56*pi
Step-by-step explanation:
The easiest way is to find the area of the circle and subtract the area of the sector.
Area of the circle
d = 16 cm given
d = 2*r definition
16 = 2*r divide by 2
16/2 = 2r/2
r = 8
Area of the circle = pi * r^2
Area of the circle = pi * 8^2
Area of the circle = 64 pi
Area of the sector
Area of sector = (theta/360) * pi * r^2
Area of sector = 45/360 * pi * 64
Area of sector = 1/8 * pi * 64
Area of sector = 8 * pi
Area of the shaded area
Area of the shaded area = 64 * pi - 8*pi = 56*pi
Note: There is a shorter way, but one can never be confident of getting an angle greater than 180 correct.
360 - 45 = 315
Area of the sector = 315/360 * pi * r2
Area of the sector = 7/8 * pi * 64
Area of the sector = 7 * pi * 8
Area of the sector = 56*pi
An amusement park ride has cars that move around a circular track at the rate of 16 revolutions in 20 seconds. To the nearest hundredth, the angular velocity of the cars is radians per second.
Answer:
[tex]5.03\frac{rad}{sec}[/tex]
Step-by-step explanation:
To find the angular velocity divide the revolutions by the time
so
[tex]\frac{16}{20}=0.8\frac{rev}{sec}[/tex]
Remember that
[tex]1\ rev=2\pi \ rad[/tex]
Convert rev/sec to rad/sec
[tex]0.8\frac{rev}{sec}=0.8*(2\pi)=1.6 \pi\frac{rad}{sec}[/tex]
assume [tex]\pi=3.1416[/tex]
[tex]1.6(3.1416)=5.03\frac{rad}{sec}[/tex]
Answer:
5.03
Step-by-step explanation:
Please help!!!
The area of the green square is 9 ft2. The area of the yellow square is 25 ft2.
What is the area of the red square (labelled "b" in the diagram)?
Answer:
the answer is 16Ft^2
Step-by-step explanation:
Square A's area is 9 so take its square root =3
then do the same for Square c =5
then use pythagram theory which is
3^2 + 5^2 = 4^2 = 16
Answer:
area = 16 ft²
Step-by-step explanation:
The area of the green square = 9 ft²
area of the yellow square = 25 ft²
Area of the red square can be computed as follows:
area of a square = L²
Since one side of each triangle forms a part of the triangle knowing the length of sides of the green and yellow triangle can be use to get the sides of the red square and invariably the area.
Green square
L² = 9
square both sides
√L² = √9
L = 3 ft
Yellow square
L² = 25
square both sides
√L² = √25
L = 5 ft
use Pythagoras theorem to get the third side of the triangle which is the b
c² = a² + b²
b² = c² - a²
a = 3 ft
c = 5 ft
b² = 5² - 3²
b² = 25 - 9
b² = 16
square both sides
√b² = √16
b = 4
Red square
area = L²
area = 4²
area = 16 ft²
Conrad paid $52.26 for a pair of shoes. Michelle paid $3.89 more for a pair of shoes than Conrad paid for his. How much did Michelle pay for her shoes
Answer:Michelle paid $56.15 for her shoes
Step-by-step explanation:
Since Michelle paid $3.89 more for her shoes compared to Conrad, who paid $52.26. This means you have to add $3.89 to $52.26.
$3.89+$52.25= $56.15
Final answer:
Michelle paid $56.15 for her shoes, which is $3.89 more than the $52.26 that Conrad paid for his.
Explanation:
The question involves a simple arithmetic calculation to determine how much Michelle paid for her shoes. To find the answer, we will add $3.89, which is the additional amount Michelle paid, to $52.26, which is the amount Conrad paid for his shoes.
Step-by-step calculation:
Conrad's shoe price: $52.26Additional amount paid by Michelle: $3.89Michelle's shoe price: $52.26 (Conrad's price) + $3.89 = $56.15Therefore, Michelle paid $56.15 for her shoes.
Please answer this question! 25 points and brainliest!
chur answer is gonna be 63787 km
Which measurements could NOT represent the side lengths of a right triangle? * 1 point A. 6 cm, 8 cm. 10 cm B. 12 cm, 35 cm, 37 cm C. 4 cm, 6 cm, 10 cm D. 10 cm, 24 cm, 26 cm
Answer:
C. 4cm, 6cm, 10cmStep-by-step explanation:
Is a ≤ b < c are the side lengths of a right triangle, then
[tex]a^2+b^2=c^2[/tex]
A. 6cm, 8cm, 10cm.
Substitute:
[tex]6^2+8^2=10^2\\36+64=100\\100=100\to TRUE[/tex]
B. 12cm, 35cm, 37cm.
Substitute:
[tex]12^2+35^2=37^2\\144+1225=1369\\1369=1369\to TRUE[/tex]
C. 4cm, 6cm, 10cm.
It's not the side lengths of a triangle, because 4 + 6 = 10.
Without looking at it, we will check equality
[tex]4^2+6^2=10^2\\16+36=100\\52=100\to FALSE[/tex]
D. 10cm, 24cm, 26cm.
Substitute:
[tex]10^2+24^2=26^2\\100+576=676\\676=676\to TRUE[/tex]
The measurement that could not represent the side length of a right triangle is 4 cm, 6 cm, 10 cm.
What is a right triangle?A right triangle is a triangle that consists of three sides. The longest side is the hypotenuse. The other sides are the base and the length. The sum of angles in a triangle is 180 degrees.
What is the Pythagoras theorem?According to this theorem, the square of the hypotenuse should be equal to the sum of the square of the other two sides.
The Pythagoras theorem: a² + b² = c²
where:
a = length
b = base
c = hypotenuse
Which measurements do not represent the side lengths of the right triangle?6² + 8² = 10²
36 + 64 = 100
Option B = 12² + 35
= √144 + 1225
= √1369
= 37
Option C = 4² + 6²
16 + 36
= √52
= 7.2
Option D: 10² + 24² = 26²
100 + 576
= √676
= 26
Please find attached an image of a right triangle. To learn more about Pythagoras theorem, please check: https://brainly.com/question/14580675
Which system of linear inequalities is graphed?
Both lines are dotted so no equation should include equal to in it.
The shaded area is on the left side .
The correct answer would be y>2x+1 and x+y = -2
The 3rd answer is correct.
Answer:
y>2x+1 and x+y < -2 represent the graph line.
Step-by-step explanation:
Given : graph .
To find : Which system of linear inequalities is graphed
Solution : We have given graph with two line both lines are dotted line and shaded down.
Equation of line form : y = mx + b.
Where, m = slope , b= y intercept.
Line x+y < -2 less than sign for shaded down and y intercept -2.
and y>2x+1.
Therefore, y>2x+1 and x+y < -2 represent the graph line.
If the radius of a circle is 14 ft, then the diameter of the circle is _____.
7 ft
28 ft
42 ft
87.92 ft
Answer:
The answer is 28ft.
Step-by-step explanation:
A radius will always be exactly half of the diameter: meaning, the diameter is double the length of the radius.
Which of the following shows the correct order of the numbers below?
First who answers will get brainlyest
Answer:
c)
Step-by-step explanation:
if you look at option c it would be correct because 0.75 (3/4) is bigger than 0.7. Then 11/12 is a bigger proportion then 0.75. there for your answer is correct.
The correct order of the numbers given when converted to decimals for easy comparison is 0.7, 3/4 and 11/12, which corresponds to option b: 0.7 < 3/4 < 11/12.
Explanation:This is a question about comparing and ordering fractions and decimals. To answer this, we first need to convert all the numbers into the same format. We can convert the fractions 11/12 and 3/4 into decimals for easier comparison.
First, to convert 11/12 to a decimal, you'll do the division to find approximately 0.9167. Secondly, 3/4 can be converted to a decimal by performing 3 divided by 4, which equals 0.75. Now, we can easily compare these decimals to 0.7.
From this, we can see that 0.7 is less than 0.75 (3/4) and both 0.7 and 0.75 are less than 0.9167 (11/12). So the correct order of the numbers from least to greatest would be 0.7 < 3/4 < 11/12.
So the correct option is b. 0.7 < 3/4 < 11/12.
Learn more about Ordering Numbers here:https://brainly.com/question/3729546
#SPJ3
A father who is 42 years old has a son and a daughter. The daughter is three times as old as the son. In 10 years, the sum of all their ages will be 100 years. How old are the two siblings at present? PLEASE HELP!!!!!!!!!!!!!!!!
Answer:
The daughter is 36 years old and the son is 12 years old.
Simplifying the expression results in what binomial expression?
The answer is 2x−5
Step-by-step explanation:see the image
Which equation can be used to find the volume of the right rectangular prisms
A) V = (10)(5)
B) V = (10)(2)
C) V = (10)(5)(2)
D) V = 10(5 + 2)2
The answer is C because it’s length x width x height
Answer:
C) V = (10)(5)(2)
Step-by-step explanation:
V = (10)(5)(2) To find the volume of a right rectangular prisms, multiply the length times the width times the height. -- V = lwh.
What is the total number of digits required in numbering the pages of a book which has 53 pages?
Answer:
The total number of digits required in numbering the pages of a book that has 53 pages would be: 97.
Step-by-step explanation:
This answer would be 97 due to the first nine digits being singular.
The next 44 digits are double, so therefore, you multiply 44 by 2, and you end up with 88.
After that, you take 88 and add the 9, which, is 97 digits in total that you would need to number a 53 page book.
Shannon is putting a fence around the garden, except where there is a gate that is 3 feet wide. One foot of the fence costs $43. The cost of the gate is $128. Write an expression that represents the total cost of the fence and the gate. Explain how you determined your expression.
Answer:
The expression would be 43x + 128
Step-by-step explanation:
43 dollars is multiplied by however many feet is used. Then, the exception(the gate) is added to the charge that is 43x
What is the mean absolute deviation of Dean's homework scores? 70, 95, 35, 90, 85
Answer:
18.
Step-by-step explanation:
Mean of the values = (70+95+35+90+85) / 5
= 75.
Mean absolute deviation :-
70 - 75 = |-5| = 5 (absolute value is taken
95 - 75 = 20
35-75 = 40
90-75 = 15
85-75 = 10
Mean Absolute Deviation = (5 + 20 + 40 + 15 + 10) / 5
= 18.
Answer: 18
Step-by-step explanation: it was correct on ttm
What is the value of x?
Last question please!
Answer:
x = -1
Step-by-step explanation:
-2 to 2 is 4 units, so -3x + 1 = 4.
We subtract 1 from both sides to get -3x = 3.
Then we divide each side by -3 to get x = -1.
The rate of change of a bacteria (N) with respect to time is directly proportional to itself. When t=0, N=500. When t=4, N=3000. How many bacteria will be present when t=8?
Carbon-14 has a half-life of 5715 years. Find the rate of decay, if the initial amount of carbon-14 is 10 units.
Please explain (step by step is preferred)
Fine the average rate of change by the difference in N over the difference in T:
3000 - 500 / 4-0 = 2500 / 4 = 625
This means for every 1 T, N = 625.
Now multiply 625 by 8:
625 x 8 = 5000
When T = 8 N = 5,000
The decay rate can be found by dividing -ln(2) by the half life.
Decay rate = -ln(2) / 5715 = -0.00012
True or false (Picture provided)
The answer is: True.
Why?A counterexample is a way that we can prove that something is not true about a mathematical expression or equation, it could be considered as an exception to a rule, so to check if the answer is true or false, we must prove that a counterexample of the given expression is 0°, so:
The given expression is:
[tex]sinytany=cosy[/tex]
Then,
[tex]sin(0)*\frac{sin(0)}{cos(0)}=cos(0)\\\\0*\frac{0}{1}=1\\\\0*0=1\\0=1[/tex]
We can see that the equation is not fulfilled, so 0° is a counterexample of [tex]sinytany=cosy[/tex] and the answer is true.
Have a nice day!
Please help me out.............
Since the sides are equal the angels have to be equal too
5x-20=2x+37
3x=57
X=19
12 decreased by twice a number is the same as 8 times the sum of the number and four. What is the number?
This sphere has a diameter of 12 meters.
What is its exact surface area and its exact volume?
Show the formulas and show your work.
Answer:
area: 144π m²volume: 288π m³Step-by-step explanation:
The formula for the surface area of a sphere is ...
A = 4πr²
For a radius of 6 meters, that is ...
A = 4π(6 m)² = 144π m²
___
The formula for the volume of a sphere is ...
V = (4/3)πr³ = A·(r/3)
For the same sphere, this is ...
V = (144π m²)(6 m/3) = 288π m³