Answer:
1/6π units³ or 11/21 units³
Step-by-step explanation:
V = 4/3 πr³
r= 1/2
V= 4/3π* (1/2)³= 1/6πor
V= 1/6 *22/7= 11/21Answer:
1/6
Step-by-step explanation:
Find the surface area of the cylinder. Round to the nearest tenths.
Answer:
The surface area of the cylinder is 251.2cm²
Step-by-step explanation:
To solve this problem we have to calculate the circle area and the lateral area
radius = half of diameter
r = 10/2 = 5cm
To calculate the area of the circle we use the following formula
a = area
r = radius = 5cm
π = 3.14
a = π * r²
we replace with the known values
a = 3.14 * (5cm)²
a = 3.14 * 25cm²
a = 78.5cm²
The area of the circle is 78.5cm²
To calculate the lateral area of the cylinder we use the following formula
a = area =
h = heighti = 3cm
r = radius = 5cm
π = 3.14
a = 2 * π * r * h
we replace with the known values
a = 2 * 3.14 * 5cm * 3cm
a = 6.28 * 15cm²
a = 94.2cm²
The lateral area of the cylinder is 94.2cm²
Now we add the lateral area of the cylinder with 2 times the area of the circle and obtain the area of the cylinder
94.2cm² + (2 * 78.5cm²) = 251.2cm²
The surface area of the cylinder is 251.2cm²
LeBron James shot 30 shots per game last season. His season high in shots was 2,000. He wants to earn a different shot per game record next season. How many shots shouldn’t LeBron take per game next season?
Answer:
1700
Step-by-step explanation:
question is attached
Answer:
7 and -5
Step-by-step explanation:
1. Factor: (x-7)(x+5)
2. Set both to zero and solve
(2n + 4) + 6 = –9 + 4(2n + 1)
Answer:
n=2.5
Step-by-step explanation:
(2n+4)+6=-9+4(2n+1)
Expand parentheses:
2n+10=-9+8n+4
Combine like terms:
15=6n
Divide both sides by 6:
n=2.5
Hope this helps!
Please answer correctly !!!!!!!!!!! Will mark brainliest !!!!!!!!!!!!
Answer:
first box: -14[tex](x+7)^2-49=0\\(x+7)^2=49\\(x+7)=\sqrt{49} \\(x+7)=+/-7\\x=-7+/-7\\x=-7+7\,\,and\,\,-7-7\\x=0\,\,and\,\,-14[/tex]
second box: zero
Step-by-step explanation:
A plane is descending onto the runway with an angle of depression of 55°. If it has 2.8 miles to go before landing (hypotenuse), what is the current altitude of the plane?
A. 4.9 miles
B. 3.4 miles
C. 4 miles
D. 1.6 miles
E. 2.3 miles
Answer:
Option C is correct
Step-by-step explanation:
Given: A plane is descending onto the runway with an angle of depression of 55°. Also, it has 2.8 miles to go before landing.
To find: current altitude of the plane
Solution:
Consider the attached image.
In ΔABC,
[tex]\angle ACB=55^{\circ}[/tex] (Alternate interior angles)
For any angle [tex]\theta[/tex],
[tex]tan \theta[/tex] = side opposite to angle/side adjacent to angle
[tex]\tan C=\frac{AB}{BC}[/tex]
Put [tex]\angle C=55^{\circ}\,,\,BC=2.8\,\,miles[/tex]
[tex]AB=2.8\,\tan 55^{\circ}=3.999\approx 4\,\,miles[/tex]
So, the current altitude of the plane is 4 miles.
Logan is reading about architecture and learns that trusses can be used to support roofs. He wants to find the measures of the angles on a truss. truss.
Answer:
It could help Logan to first study the constitution and shape of this type of armor in order to make a mental image of the positions of the angles as well as the size.
Step-by-step explanation:
A previous study allows Logan to understand that these types of trusses have a triangular shape and are widely used in the construction of roofs, therefore Logan could use to draw this type of trusses.
The area of the rectangle is 20 square inches. The rectangle is enlarged by a factor of 6.
What is the area of the enlarged rectangle?
120 in.²
720 in.²
2,400 in.²
14,400 in.²
Answer:
B
Step-by-step explanation:
Here, we are told that the rectangle is enlarged by a factor of 6, we now want to calculate the new area of the said rectangle.
Now, for the rectangle to have an area of 20, mathematically the area of a triangle can be calculated using the formula L * B
where L is the length and B is the breadth
our product here is 20, so any product that gives 20 would be a good fit as the value of the width and length of the rectangle
So, let’s say the sides measure 5 inches by 4 inches
Enlarging these by a factor of 6, we have 30 inches by 24 inches
The new area of the rectangle would thus be ;
30 inches * 24 inches = 720 inches^2
Answer:
b
Step-by-step explanation:
What is the sum? 8 + (negative 12)
Answer:
your answer is -4!
Step-by-step explanation:
plz mark me brainliest
Find the volume of the cylinder Either enter an exact answer in terms of Pi or use 3.14 or Pi
Answer:
[tex]Volume = 54\,\pi[/tex]
Step-by-step explanation:
Recall the formula for the volume of a cylinder:
[tex]Volume=\pi \,R^2\,H[/tex]
where R is the radius of the cylinder's base, and H is the cylinder's height.
Therefore, in our case the volume becomes:
[tex]Volume=\pi \,R^2\,H\\Volume=\pi \,3^2\,*\,6\\Volume = 54\,\pi[/tex]
Evaluate:
a = -3, b = 1, and c= -4
-21 - C
Type the correct answer, then press Enter.
Ar
Answer:the answer is -17
Step-by-step explanation:
Can someone help me with this homework?
Answer: (-4, -1)
Step-by-step explanation:
Starting at point (-4, -2) and translating 3 units up means we add 3 to -2.
So the new point is now (-4, 1).
Now we reflect over the x-axis which means the y-value of 1 becomes negative.
So the final point is (-4, -1)
Answer:
(-4,-1)
Step-by-step explanation:
when you translate it by 3 units up, it becomes (-4,-1). and when you reflect over the x axis, it becomes (-4,-1)
Berto has $12 and 3.75 per gallon how much gas can he get
Answer:
(3.2, 12)
Step-by-step explanation:
Total cost for gas = $12
Cost per gallon = $3.75
Letting total cost of gas be y and number of gallons be x, maximum number of gallons of gas he can buy would be ;
Total cost of gas/ cost per gallon = 12 / 3.75 = 3.2 gallons
Therefore , the coordinate pair (x, y) = (3.2, 12)
please help me!!!! (i only need question 1)
Answer:
28
Step-by-step explanation:
So I just figured out by counting. The top has 8, which means the bottom also has 8. The sides are 3, 2, 1, 1, 2, 3
The total is 8 + 8 + 3 + 2 + 1 + 1 + 2 + 3 = 28
What is the factors of 27
Answer:
1, 27, 3, 9,
Step-by-step explanation:
To find the factors of 27 you need to find which whole number times another whole number = 27
We know that 1*27 = 27
We also know that 3*9 = 27
The factors are all the numbers that are used in the multiplication.
In this example the numbers are: 1, 3, 9 and 27
Answer:
1,9,3,27
Step-by-step explanation:
if we break it down we can see:
1x27=27
9x3=27
What is the value of p ?
Answer:
B.
Step-by-step explanation:
First find the other two angles in the triangle using supplementary angles.
They are 90° and 55°
Now just subtract them from 180
180 - 90 - 55 = 35°
write the formula of loss where cost price(CP) and
selling price(SP) are given
Answer:
CP - SP = LOSS when CP is more than SP
Check the consistency of 2x-3y=7 and x-2y+1=0
Answer:
x = 17, y = 9
or as an ordered pair, (17, 9).
The equations are consistent.
Step-by-step explanation:
2x - 3y = 7
x - 2y = -1 Multiply this equation by -2:
-2x + 4y = 2 Add this to the first equation:
y = 9.
Plug y = 9 into the second equation:
x - 2*9 = -1
x = -1 + 18 = 17.
Triangles R S T and V U T are connected at point T. Angles R S T and V U T are right angles. The length of side R S is 12 and the length of side S T is 16. The length of side T U is 8 and the length of U V is 6. Which statements can be concluded from the diagram and used to prove that the triangles are similar by the SAS similarity theorem? StartFraction R S Over V U EndFraction = StartFraction S T Over U T EndFraction and angle S is-congruent-to angle U StartFraction R S Over V U EndFraction = StartFraction S T Over U T EndFraction = StartFraction R T Over V T EndFraction StartFraction R S Over V U EndFraction = StartFraction T U Over T S EndFraction and angle S is-congruent-to angle U StartFraction R S Over V U EndFraction = StartFraction T U Over T S EndFraction = StartFraction R T Over V T EndFraction
Answer:
[tex]\dfrac{\overline{RS}}{\overline{VU}}=\dfrac{\overline{ST}}{\overline{UT}}\quad\text{and}\quad\angle S\cong\angle U[/tex]
Step-by-step explanation:
To use the SAS similarity theorem, you must show proportionality between corresponding sides, and congruence of the angle between them.
The answer shown above is the only answer choice that mentions an angle.
__
Comment on other choices
Choice B shows the three sides are proportional, so would be useful if the SSS similarity theorem were to be invoked. It isn't helpful for the using the SAS similarity theorem.
Choices C and D get the proportion statements wrong.
Answer:
RS/VU=ST/UT and Angle S congruent Angle U
Order these fractions from least to greatest 7/8 4/6 3/4
Answer:
4/6 , 3/4, 7/8
Step-by-step explanation:
7/8 4/6 3/4
The common denominator is 24
7/8*3/3 = 21/24
4/6* 4/4 = 16/24
3/4 * 6/6 = 18/24
From smallest to largest
16/24, 18/24, 21/24
4/6 , 3/4, 7/8
Which inverse operations could you use to solve the equation m5−8=−6? Select all that apply.
A
Multiply each side by 5 and then add 8 to each side.
B
Add 8 to each side and then multiply each side by 5.
C
Add 8 to each side and then divide each side by 5.
D
Subtract 8 from each side and then multiply each side by 5.
E
Subtract 6 from each side and then multiply each side by 8.
F
Multiply each side by 5 and then add 40 to each side.
Answer:
Correct option: C
Step-by-step explanation:
To solve the equation m*5 - 8 = -6, we can use the following steps:
step1: sum 8 in both sides, to make m*5 be the only term in the left side.
m*5 = 2
step2: divide both sides by 5, then we will have 'm' isolated in the left side.
m = 2/5
So the operations we could use is: add 8 to each side and then divide each side by 5.
Correct option: C
Write the coordinates of the image of Q(-3,-6) reflected in the line y=x
HELP PLEASE I RLY NEED HELP URGENT
Answer: (-6, -3)
Step-by-step explanation:
We have the point (-3, -6)
And we want to do a reflection over the line y = x.
When we do a reflection of the point (x, y) over the line y = x. the reflected point will be (y, x)
So if our original point is (-3, -6) then the reflected point is (-6, -3)
Please answer correctly !!!!!!!! Will mark brainliest !!!!!!!!!!!!
Answer:
x^2+6x+8
Step-by-step explanation:
x x x=x^2
x x2= 2x
4 x x=4x
4 x 2= 8
x^2+2x+4x+8
x^2+6x+8
Write the simplest form of the expression (64/729)^(−1/6)
Answer:
3/2
Step-by-step explanation:
(64/729)^(−1/6)=(2^6/3^6)^(-1/6)=(2/3)^-1=3/2
I Need Help With This Question
Attachment below
Answer & Step-by-step explanation:
For this problem, all we have to do is add f(x) to g(x). So, we will add (x -2) to (x² + x - 6).
(x - 2) + (x² + x - 6)
Combine like terms.
x² + (x + x) + (-2 + (-6))
x² + 2x - 8
So, (f + g)(x) is equal to x² + 2x - 8
Determine the nature of the roots: 2x2 + 8x + 3 = 0
Answer:
the nature of the roots of an equation is real, distinct and irrational
Step-by-step explanation:
Given Data provided in the question according to the question is as follows:
[tex]2x^2 + 8x + 3 = 0[/tex]
where
a = 2 , b = 8 , c = 3
As we know that
Quadratic expression
[tex]ax^2 + bx +c = 0[/tex]
Delta = [tex]b^2 - 4ac[/tex]
[tex]= (8)^2 - 4 (2) (3)[/tex]
= 64 - 24
= 40
Here,
Delta > 0, it does not contain perfect square
Therefore the nature of the roots of an equation is real, distinct and irrational
Select all of the following statements that are true.
All real numbers are natural numbers.
All whole numbers are integers.
All integers are whole numbers.
All natural numbers are rational numbers.
All irrational numbers are dense.
DONE
Answer:
All whole numbers are integer
All natural numbers are rational numbers
Step-by-step explanation:
Answer:
2, 4, 5
Step-by-step explanation:
edge 2021 :)
Jordan has some music books. He will buy 9 new music books each year. He will have 52 music books in 5 years. Rate of change per year = ____ Initial value = _____
What answer is equivalent to -4(b + 2) - 36?
Answer:
− 4 b − 44
Step-by-step explanation:
Answer:
-4(b + 11)
Step-by-step explanation:
-4(b + 2) - 36 (multiply -4 into parentheses via distributive property)
= b(-4) + 2(-4) - 36
= -4b -8 - 36
= -4b - 44 (this could be an answer, but we can still simplify further by factoring out -4)
= -4(b + 11)
plz help
solve for q
Answer: -3
Step-by-step explanation:
-3^2=-3*-3=-9
Because the square of q is equal to -9, the square root of -9 is equal to q.
Because of this fact, we can find the square root of -9 to get our answer.
[tex]\sqrt{-9}[/tex] = 3 i.
Therefore, q is equal to 3 i or [tex]\sqrt{-9}[/tex].
Hope this helped! :)