Answer:
The radius is 19.42 inches.
Step-by-step explanation:
Start with the formula for finding the circumference of a circle, which is C=2[tex]\pi[/tex]r.
Then, derive the formula in order to find the radius, which the formula should then look like r= C/2[tex]\pi[/tex].
Finally, plug in the corresponding numbers, which is r= 122 inches/ 2[tex]\pi[/tex]. The final answer is 19.42 inches.
The temperature in the afternoon is -8°F. In the evening, the temperature is 6°F colder than in the afternoon.
Choose all the expressions that can represent the situation.
A. 6 - 8
B. -8 - 6
C. -8 + 6
D. 6 - (-8)
E. -8 + (-6)
Answer:
-8-6
-8+6
6-(-8)
Step-by-step explanation:
please help!! i need 15 & 17!
Answer:
15. Answer: length = 15 ft; width = 3 ft
16. Answer: base = 14 cm; height = 5 cm
17. Answer: x² - 5x - 24 = 0
Step-by-step explanation:
15.
area of rectangle = length * width
length = x - 2
width = x - 14
area = (x - 2) (x - 14)
We are shown the area to be 45 ft².
We set the expression of the area equal to the given area and solve the quadratic equation for x.
(x - 2)(x - 14) = 45
x² - 14x - 2x + 28 - 45 = 0
x² - 16x - 17 = 0
(x - 17)(x + 1) = 0
x - 17 = 0 or x + 1 = 0
x = 17 or x = -1
We discard the negative answer, x = -1, since it would give negative length and width.
x = 17
length = x - 2 = 17 - 2 = 15
width = x - 14 = 17 - 14 = 3
Answer: length = 15 ft; width = 3 ft
16.
area = ½bh
area = ½(x - 5)(x - 14)
area = 35
½(x - 5)(x - 14) = 35
(x - 5)(x - 14) = 70
x² - 14x - 5x + 70 = 70
x² - 19x = 0
x(x - 19) = 0
x = 0 or x - 19 = 0
We discard x = 0 since it would give negative dimensions.
x = 19
base = x - 5 = 19 - 5 = 14
height = x - 14 = 19 - 14 = 5
base = 14
height = 5
Answer: base = 14 cm; height = 5 cm
17.
A polynomial with solutions x = a and x = b can be found by multiplying (x - a) by (x - b). Here, the solutions are x = -3 and x = 8.
[x - (-3)](x - 8) = (x + 3)(x - 8) = x² - 8x + 3x - 24 = x² - 5x - 24
Answer: x² - 5x - 24 = 0
helpppppppppppppppppppo
Answer:
...
Step-by-step explanation:
the first one ur correct
the second one is 12cm
Answer:
The west side is 12 cm
Step-by-step explanation:
15 kilometers divided by 5 is 3. Since every 5 kilometers is 4 cm, multiply 3 by 4 to get 12
THINK ABOUT WHETHER THEY ARE ASKING FOR CURCUMFERENCE OR AREA If you want to Make sure to have the most pizza which would you rather two 12 inch medium or one 18 inch large. Justify your answer mathematically
Answer:
The maximum pizza quantity would be with the pizza of 18 inch
Step-by-step explanation:
The size of the pizza in inches depicts its diameter.
Thus, 12 inch pizza means diameter of the pizza = 12 inch and 18 inch pizza means diameter = 18 inch
In case of either the CURCUMFERENCE OR AREA, the pizza with larger diameter will have larger CURCUMFERENCE and AREA as compared to the pizza with smaller diameter.
For instance
Area of 18 inch pizza
[tex]\pi * (18/2)^2\\= 254.34[/tex]Square inch
Area of 12 inch pizza
[tex]\pi * (12/2)^2\\= 113.04[/tex]Square inch
Circumference of 18 inch pizza
[tex]2*3.14*9 = 56.52[/tex]
Circumference of 12 inch pizza
[tex]2*3.14*6 = 37.68[/tex]
What is the volume of the triangular pyramid? Round to the nearest tenth if
necessary
Answer: 224m^3
Step-by-step explanation:
Since V=B(Base)h(Height)
B=1/2x4x8
8x4=32x1/2=16
V=16h
H=14
V=16(14)=224
So your answer is 224m^3
(^3 means cubed)
I hope this helps!
can someone average this out for me and for the term test I made a 36
Answer: 70.77 or 71 if rounded up
Step-by-step explanation:
Add all the scores then divide to 18.
You can write the equation of the line if you have two points on the line.
Is that true or false?
giving 15 points cause i rlly need help
Bob had 1/3 of a pizza left over. He ate 2/3 of the leftovers for lunch. How much
pizza did he eat for lunch
b.r.uh. these ch.a..t links be t.ripping
Answer: Ok so that is a fact for sure
Answer:
yup
Step-by-step explanation:
can someone pls help me I’m confused
Answer:
The correct answer would be: 27x⁶y⁹
Step-by-step explanation:
=> (3x²y³)³
=> 3³x²⁽³⁾y³⁽³⁾
=> 27x⁶y⁹
Hope this helps!
The complex polygon below represents the layout of a parking lot. Find the area of the parking lot in square meters.
Answer:
The area of the parking lot is: 144cm^2
Step-by-step explanation:
Given
See attachment for polygon
Required
The area of the parking lot
The attached plot has 6 congruent triangles with the following dimension;
[tex]Base = 6cm[/tex]
[tex]Height = 8cm[/tex]
[tex]Area = \frac{1}{2} * Base * Height[/tex]
[tex]Area = \frac{1}{2} * 6cm * 8cm[/tex]
[tex]Area = 24cm^2[/tex]
The area of the 6 triangles is:
Area = 6 * Area of 1 triangle
[tex]Area = 6 * 24cm^2[/tex]
[tex]Area = 144cm^2[/tex]
Which expression is equivalent to 4^-6 x 4^-2
Answer:
4^-8
Step-by-step explanation:
When multiplying two exponents with the same base, in this case, 4, you need to add the two powers (-6 + -2), to get -8.
The table shows the favourite colour of 400 people.
Colour
Frequency | Angle in
Red
100
Blue
100
Green
150
Yellow
50
Complete the table and draw a pie chart
to represent this information.
Note: Please draw your pie chart in a 'clockwise' direction from the line already drawn
and follow the order from the table (Red, then Blue etc...).
The favourite colours represent the following angles: red (90°), blue (90°), green (135°) and yellow (45°).
Rule of Three
It's a math tool for solving problems about proportion. You can relate more than 2 variables and from the proportion, it's possible to find an unknown number.
Here you can apply the rule of three for finding the angle of each frequency. The total of people (400) represents the total angle of a circumference which is 360°.
For colour - red400 ----------- 360°
100 ------------ r
400r=360*100
400r=36000
r=36000/400
r=90°
For colour - blue400 ----------- 360°
100 ------------ b
400b=360*100
400b=36000
b=36000/400
b=90°
For colour - green400 ----------- 360°
150------------ g
400g=360*150
400g=54000
g=54000/400
g=135°
For colour - yellow400 ----------- 360°
50------------ y
400y=360*50
400y=54000
y=18000/400
y=45°
Read more about the rule of three here:
brainly.com/question/24514897
#SPJ1
Which graph represents the function y= 1/4× - 3
Answer:
It would look about like this
Step-by-step explanation:
PLEASE HELP!!!!!!! What is the slope of the line?
−53
−35
35
53
Answer:
Slope = 1
Step-by-step explanation:
ace please help plsss
Answer:
B
Step-by-step explanation:
I Think I Got It Right But This Is From A LONG time ago
Answer:
B. 60
Step-by-step explanation:
I am pretty sure this is a 30-60-90 similarity right triangle. If that's the case, then the answer is 60 degrees. Have a good day! :DDD
The costs for going to a dog beach are $7 for 1 dog, and $2 for each additional dog. Write an equation for this situation, when going to the beach with at least one dog.
Answer:
$7+$2(x-1)-y
Step-by-step explanation:
$7+$2(x-1)=y where $7 is fixed fee and $2(x-1) represents $2 more for every ADDITIONAL dog more than the first dog.
Asked the wrong question minutes ago. The question I need answering is here, in the included photo.
Step-by-step explanation:
m L 1 = 180°-75° = 105° ( angles in one side)
m L 2 = 75° (corresponding angles)
Vertical angles have sum 180
m<1=
180-75105°m<2
180-10575°Help me with this please!!!!!!!!!!!!!!!!!!!!!
Answer:
y = 2 units
Step-by-step explanation:
We can solve this in 2 ways, both ways would give the same answer:
#1) Sin(45) = [tex]\frac{\sqrt{2} }{y}[/tex]
=> Sin(45) * y = [tex]\sqrt{2}[/tex]
=> y = [tex]\frac{\sqrt{2} }{Sin(45)}[/tex]
=> y = 2
#2) Cos(45) = [tex]\frac{\sqrt{2} }{y}[/tex]
=> Cos(45) * y = [tex]\sqrt{2}[/tex]
=> y = [tex]\frac{\sqrt{2} }{Cos(45)}[/tex]
=> y = 2
Hope this helps!
Answer:
The value of y is 2 units .
Select all expressions are equivalent to 3^8
83
310
32
3.8
(34)
o (3.3)
3
Answer:
[tex]\frac{3^{10} }{3^{2} }[/tex] , [tex](3*3)^{4}[/tex], [tex](3^{4})^{2}[/tex]
Step-by-step explanation:
The expressions 3¹⁰/3², (3⁴)², and (3·3)⁴ are equivalent to the given expression. which is the correct answer would be options (B), (D), and (E).
What are exponential expressions?Exponential expressions, as the name indicates, involve exponents. We already know that the exponent of a number (base) specifies how many times the number (base) has been multiplied. To answer the exponential expressions, we may need to apply the relationship between exponents and logarithms.
As per option (B), we have
3¹⁰/3²
3¹⁰⁻²
Apply the subtraction operation in the exponent
3⁸
As per option (D), we have
(3⁴)²
3⁴ˣ²
Apply the multiplication operation in the exponent
3⁸
As per option (E), we have
(3·3)⁴
(3²)⁴
3⁴ˣ²
3⁸
Thus, the expressions 3¹⁰/3², (3⁴)², and (3·3)⁴ are equivalent to the given expression.
Hence, the correct answer would be options (B), (D), and (E).
Learn more about exponential function here:
brainly.com/question/11487261
#SPJ2
3/8
×
2/9
please help so hard!!!!!!!
Answer:
[tex]\frac{1}{12}[/tex]
Step-by-step explanation:
[tex]\frac{3}{8}[/tex]×[tex]\frac{2}{9}[/tex]
You can cut off 3 and 9 because they have 3s there
You can also cut off 2 and 8 since they have 2s there.
[tex]\frac{1}{4}[/tex]×[tex]\frac{1}{3}[/tex]
[tex]=\frac{1}{12}[/tex]
two students were walking to school one day when they saw two teachers each walking with two dogs. Each dog had two ears.How many dog ears where they in all
Answer:
there were 8 dog ears in all.
Step-by-step explanation:
Since the statement says that they saw two teachers each walking with two dogs, you have to multiply the number of teachers for the number of dogs each one had to find the total number of dogs they had:
2*2=4
Now, as the statement indicates that each dog had two ears you have to multiply the number of dogs for the number of ears each one has:
4*2=8
According to this, the answer is that there were 8 dog ears in all.
Which alternative is the reciprocal of 2? *
A.-2
B. -1/2
C. 1/2
D.2
Answer:
I think the answer is C
Question 1
Which expression is NOT equivalent to the expression
shown above?
7^2
7^5
Select one:
7-3
7-10
1/343
72.75
pls answerrrrrrrrrrrrrrqdqdqd
Answer:
30ft 2
Bc we first calculate the area of rectangle which is 6x4 which is 24 then we calculate area of triangle which is 6 then 6 + 24 = 30ft squared
Mr.Suarez wants to paint his storage shed.He needs to calculate the lateral surface area of the shed so that he will know how much paint to buy.The shed is in the shape of a rectangular prism with the dimensions shown below.Including the doors what is the lateral surface area of the storage shed brainly
Answer:
The lateral surface area is 336 square feet
Step-by-step explanation:
Given
See attachment for storage
Required
The lateral surface area
From the attached figure, we have:
[tex]L = 14[/tex] --- Length
[tex]W = 7[/tex] --- Width
[tex]H = 8[/tex] --- Height
The lateral area is calculated as:
[tex]Area = 2 * H * (L + W)[/tex]
So, we have:
[tex]Area = 2 * 8 * (14 + 7)[/tex]
[tex]Area = 16 * (14 + 7)[/tex]
[tex]Area = 16 * 21[/tex]
[tex]Area = 336[/tex]
hey! i’ll give brainliest please help.
Answer:
respect the traditions and beliefs
Anthony needed to complete some complex tricks in order to win the 17 and Under State Skate Boarding Championship in Orlando FL. In an attempt to complete a McTwist (a 540-degree burni performed on a cap) and to maximize his air time, Anthony rode his skateboard up a specially designed one of a kind ramp. Unfortunately, he did not make it to the other side of the ramp and crashed his skateboard. His height zoove the ground in feet is a function of his horizontal position from the top of the ramp, also measured in feet The function that relates his height to his distance is h(x)=-x²+2x+8. How far above the ground is the top of the ramp? F a b. How far away from the ramp was Anthony at his maximum height What is his maximum height? C. At his highest point, how high was he above the top of the ramp? d Whea bestemowlad het veled horizontal?
Answer:
did you get the answer yet I have the same question
Answer: a. 8 feet
the first question in part b is 1 and the second part is 9. ( or you could just put 1,9) c. 1 foot taller d. -2 and 4
Step-by-step explanation: you get answer A by looking at the C- value of the equation( in this case it’s 8)
you get the first answer to B by using the axis of symmetry formula -b/2(a) and that equals 1. You get the second answer to B by plugging in 1 into the equation..solve and get 9. So your answers in total should be (1,9)
For part C all you do is subtract the top of the ramp.. which is 8 from your vertex. in other words you do 9-8 and get 1 as your answer for C
Lastly, for D you use the quadratic formula ( or use photo math) and get answers -2 and 4.
If you’re also having problems on part E .. all you have to do is place a dot at point -2, place dot at point 4, place a dot at 8 on the Y AXIS, then place a dot at point (1,9) lastly, connect the dots with a line and the graph should look like an upside down U or V( whatever you think it looks like)
I hope this helped you guys!!
Find the volume and surface area of a rectangular box 3 ft by 1.2 ft by 6 ft The volume is 21.621.6 cubic feet. (Round to the nearest tenth as needed.) The surface area is nothing square feet. (Round to the nearest integer as needed.)
Answer:
Volume = 21.6 ft³
Area = 58 ft²
Step-by-step explanation:
(1)
Applying,
V = lwh......................... Equation 1
Where V = Volume of the rectangular box, l = length of the box, w = width of the box, h = heigth of the box.
From the question,
Given: l = 3 ft, w = 1.2 ft, h = 6 ft.
Substitute these values into equation 1
V = 3×1.2×6
V = 21.6 ft³
(2)
Applying
A = 2(lw+lh+wh)............. Equation 2
Where A = surface area of the box
Also substituting into equation 2
A = 2[(3×1.2)+(3×6)+(1.2×6)]
A = 2(3.6+18+7.2)
A = 2(28.8)
A = 57.6 ft²
A = 58 ft²
Given m | n, find the value of x.
m
n
68
(6x+8)
Answer:
As 6x+8 = 68
=> x = 10
Hope it helps
By question it's given that m || n . So here we can use the properties of parallel lines . One of them which we will use here is ,
corresponding angles are equal .Here the two given angles are corresponding angles hence they will be equal. We create them in order to find the value of x.
[tex]\sf\implies 68^o = 6x + 8^o \\\\\\\sf\implies6x = 68^o - 8^o\\\\\sf\implies 6x = 60^o \\\\\\\sf\implies x = 60^o/6 \\\\\\\sf\implies \boxed{\red{ \sf x = 10^o }}[/tex]
Hence the value of x is 10° .