A regulation-size women's basketball has a diameter of 9.07 inches. What is the surface area of the basketball? Use 3.14 for π and round to the nearest tenth.
Answer:
258.3 sq inches
Step-by-step explanation:
Use the sphere surface area formula, SA = 4[tex]\pi[/tex]r²
The diameter is 9.07 inches, so the radius is 4.535 inches.
Plug in 3.14 as pi and 4.535 as r, and solve:
SA = 4[tex]\pi[/tex]r²
SA = 4(3.14)(4.535)²
SA = 258.3
So, the surface area is approximately 258.3 sq inches
28. Barrett's mom has a flower vase that is shaped like a perfect cylinder.
The vase has a height of 9 inches, and its radius is 4 inches. What is the
total volume of water that the flower vase can hold?
Answer:
Vase volume is 452.16 in³
Step-by-step explanation:
The question asks for the volume of a cylinder of radius r and height h. The relevant formula is V = (pi)(r)^2*h
With h = 9 in and r = 4 in, that max volume (of water) is
V = (3.14)(4 in)^2*(9 in) = 452.`16 in³
Someone help me with this please
Answer:
Hi, there the answer is -1
Step-by-step explanation:
Determine a function a(w) that models the area of the top surface of the swimming pool in terms of the width , w
Answer:
[tex]A(w) = (40 - w) * w[/tex]
Step-by-step explanation:
Given
[tex]P = 80[/tex] ---- perimeter
Required
Write the area as a function of width
The perimeter of a rectangle is:
[tex]P =2(l + w)[/tex]
Where
[tex]l \to length\\ w \to width[/tex]
So, we have:
[tex]80 = 2*(l+w)[/tex]
Divide by 2
[tex]40 = l + w[/tex]
Make l the subject
[tex]l =40 - w[/tex]
The area of a rectangle is:
[tex]A = l * w[/tex]
Substitute: [tex]l =40 - w[/tex]
[tex]A = (40 - w) * w[/tex]
Hence, the function is:
[tex]A(w) = (40 - w) * w[/tex]
How do you solve this equation ? 25 − 3 x = 40
Answer:
x = -5
Step-by-step explanation:
25 - 3x = 40
3x = -15
x = - 5
Answer:
x = -5
Step-by-step explanation:
25 − 3x = 40
-3x = 15
x = -5
A community gym charges a $50 fee membership and a $50 monthly fee. Workout gym charges a $170 membership fee and a $40 monthly fee. After how many months will the total amount of money paid to both gyms be the same? What will the amount be?
Answer:
12 months
Step-by-step explanation:
community gym = 50 + 50x
workout gym = 170 + 40x
you need to find out how many months it will take for them to be equal, so:
50+50x = 170+40x
solve for x
10x = 120
x = 12
after 12 months, they will cost the same
Jose measured a small granola bar in the shape of a rectagular prism. It was 5 mm tall, 50 mm long, and 30 mm wide. He stacked the 2 granola bars on top of each other. What is the colume fot he 2 stacked granola bars
Answer:
15,000 mm^3
Step-by-step explanation:
volume of the 2 stacked granola bars = volume of one granola bar x 2
volume of one granola bar = Volume of a prism = base area x height
5 x 55 x 30 x 2 = 15,000
please help im desperate no. 48 and 49
Answer:
48. option C : Substitution
49. Option D : ( 3, 6)
Step-by-step explanation:
3x + y = 15 ------------- ( 1 )
y = 2x ------------------- ( 2 )
Substitute ( 2 ) in ( 1 ) :
3x + y = 15
3x + 2x = 15
5x = 15
[tex]x = \frac{15}{5} = 3[/tex]
Substitute x in ( 2 ) :
y = 2x
y = 2 × 3 = 6
The solution to the system of equation is ( 3 , 6 )
Answer:
C and (3, 6 )
Step-by-step explanation:
(48)
Since given y = 2x the best method of solving is by substitution C
(49)
Given the 2 equations
3x + y = 15 → (1)
y = 2x → (2)
Substitute y = 2x into (1)
3x + 2x = 15
5x = 15 ( divide both sides by 5 )
x = 3
Substitute x = 3 into (2) and evaluate for y
y = 2x = 2 × 3 = 6
solution is (3, 6 )
Unit Test Unit Test Review Active 6 8 9 5 7 10 3 4 1 N A direct variation function contains the points (-9, -3) and (-12, 4). Which equation represents the function? O y = -3x 3 O y=- o y= 2/3 O y = 3x
Answer:
y = -7/3x -24
Step-by-step explanation:
I don't find this in the list of options. did you type everything correctly?
Given: line a ∥ line b. If m∠7 = 63° , then m∠4 = __ ? __.
Answer:
<1
Step-by-step explanation:
help me please i don't know what i'm doing please help
-9
9
Answer: -1/9
Step by step explanation:
The common difference of an arithmetic sequence can be found by picking 2 consecutive terms, and subtracting the second from the first. For example, if I chose the terms 2 and 1 8/9, I would find the common difference by:
1 8/9 - 2, which is equal to -1/9.
You can confirm this by picking another pair of consecutive terms. Let's pick 1 7/9 and 1 2/3:
1 2/3 - 1 7/9 = -1/9, as 1 2/3 = 1 6/9, so 1 6/9 - 1 7/9 = -1/9
One limitation of pre-operational thought is the belief that non-living objects have life-like qualities?
Answer:
Animism
Step-by-step explanation:
Animism is often a major idea or thought which is developed in a child preooperational stage according to paiget's theory of cognitive development where a child's learning is driven and derived from by symbols. At this stage, a child often relates with their toys, and other inanimate objects they come across as though they were real, manipulating and transforming them to form different things including relating with these manipulated objects like they were living. This is because at this stage, a child cannot use cognitive or logic to make distinctions.
Which grid shows only a translation of the shaded polygon to create the unshaded polygon?
A
B
C
D
Make the scale balanced.
The radius of the front wheel of Paul's bike is 63cm. Paul goes for a cycle and travels 69.89km. How many full revolutions did Paul's front wheel complete?
Answer: [tex]17,649[/tex]
Step-by-step explanation:
Given
The radius of the cycle is [tex]r=63\ cm[/tex]
Distance traveled by Paul is [tex]68.89\ km[/tex]
Distance traveled by one complete revolution of wheel is equivalent to circumference of wheel i.e.
[tex]\Rightarrow 2\pi r\\\\\Rightarrow 2\times \dfrac{22}{7}\times 63\\\\\Rightarrow 396\ cm\ \text{or}\ \text{3.96}\ m[/tex]
No of revolution made by wheel
[tex]\Rightarrow n=\dfrac{69.89\times 1000}{3.96}\\\\\Rightarrow n=17,648.9899\approx 17,649[/tex]

PLS help me with this. And I am so sorry if im troubling you
Answer:
a=70 vertically opp angles
b=80 linear pair
c=100 corresponding angles
d= 80 linear pair with c
e= 180 -a-d
=180-70-80
=30
please evaluate 18-18÷3-5
Answer:
[tex]=7[/tex]
Step-by-step explanation:
18 - 18 ÷ 3 - 5 =
Divide 18 ÷ 3 first because you have to divide before subtracting.
18 - 6 - 5 =
12 - 5 =
= 7
Hope this helps
Answer:
7
Step-by-step explanation:
thanks for the pts
✌️❤️✌️
can someone help me on this please
Answer:
The answer is Option A
Step-by-step explanation:
Start by dividing 54 by 6 which will give you 9
then divide b² by b^5 which will give you b³ at the denominator
then a^8÷a^-4
using indices...
=a^8-(-4)
=a^12
at the numerator
put everything together and you'll have...
9a^12/b³
A. [tex] \frac{9 \: {a}^{12} }{ {b}^{3} }[/tex] ✅
[tex]\large\mathfrak{{\pmb{\underline{\red{Step-by-step\:explanation}}{\orange{:}}}}}[/tex]
[tex]54 {a}^{8} {b}^{2} \div 6 {a}^{ - 4} {b}^{5} [/tex]
To solve the expression in a simpler way, single out the like terms.
Now, we have
[tex] \frac{54}{6} . \frac{ {a}^{8} }{ {a}^{ - 4} } . \frac{ {b}^{2} }{ {b}^{5} } \\ \\ = 9 \: {a}^{8 - ( - 4)} {b}^{2 - 5} \\ \\ (∵ \frac{ {a}^{m} }{ {a}^{n} } = {a}^{m - n} ) \\ \\ = 9 \: {a}^{8 + 4} {b}^{ - 3} \\ \\ = 9 \: {a}^{12} {b}^{ - 3} \\ \\ ( \: or \: ) \\ \\ = \frac{9 \: {a}^{12} }{ {b}^{3} } \\ \\ (∵ {a}^{ - m} = \frac{1}{ {a}^{m} } )[/tex]
[tex]\large\mathfrak{{\pmb{\underline{\orange{Happy\:learning }}{\orange{!}}}}}[/tex]
Describe the main parts of a proof? ..
Answer:
Answer Expert Verified
Given; prove; statements; and reasons. Explanation: The given is important information we are given at the beginning of the proof that we will use in constructing the proof. The "prove" is the statement we are trying to prove
Answer:
Sample Response: Proofs contain given information and a statement to be proven. You use deductive reasoning to create an argument with justification of steps using theorems, postulates, and definitions. Then you arrive at a conclusion.
Step-by-step explanation:
Have the day you deserve :)
Comparing Perimeter and Area
Compare the perimeter and area of the original figure to
the perimeter and area of the reduced figure using the
scale factor
Which statements are true about the comparison
between the two figures? Check all that apply.
The scale factor is 2.
The scale factor is
2.
6
The perimeter of the model is the product of the
scale factor and the perimeter of the original
rectangle
The area of the reduced figure is half the area of
the original figure
1
The area of the reduced figure is
times the
3
area of the original figure,
Intro
Done
there are 6 red 4 green 5 yellow and 5 blue marbles in a jar what is the probability of picking a green marble then blue
Answer:
Find the volume of this prism.
Explain how geographic factors impacted the early river valley civilization.
A_____ function is a function that can be expressed as the quotient of two polynomial functions in wich the denominator does not equal zero. A.rational B.division C.relationship D.polynomial
Answer:
rational
Step-by-step explanation:
that is literally the definition of a rational number, just change the part where it says function to number and polynomial functions to number as well.
6.
Determine the range of the following test scores.
History Test 2 Scores (out of 100)
95
92
89
88
85
85
84
80
78
73
72
72
70
68
67
62
59
52
40
32
a.
95
b.
32
72
c.
d.
63
Answer:
63 is the range of the following test scores.
Step-by-step explanation:
1. The largest number is 95.
2. The smallest number is 32.
3. The range is the difference between the largest and the smallest number.
4. Subtract 95 - 32 which equals 63.
5. 63 is the range of the following test scores.
Can someone help? It's super urgent I need it solved!
Answer:
Y = +- √ x - 5
Step-by-step explanation:
1. write f (x) = x^2 +5 as an equation (y = x^2 + 5)
2. interchange the varibles (x = y^2 + 5)
3. Solve for Y
if the sum of a number and half of it is 30. find the number.
Answer:
20
Step-by-step explanation:
Let us represent the number as x. In a similar sense, half the number would be [tex]\frac{x}{2}[/tex]. We know that their sum is 30, so we can write the following equation:
[tex]x+\frac{x}{2} =30\\2x+x=60\\3x=60\\\fbox{x=20}[/tex]
I hope this helps! Let me know if you have any questions :)
Given a standard six-sided die, what is 1 point the probability of rolling a 2? Please use a fraction bar (/) OR a colon (:) to represent your answer.
Answer:
1/6
Step-by-step explanation:
We know that a die has 6 sides. What would be the probability to roll 1 of those sides? (to rephrase the question)
well. the probability to roll one of the sides on a 6 side dice is 1/6, 1 side on the 6 sided die.
Answer:
1/6
Step-by-step explanation:
There are six possible outcomes when rolling a die
1,2,3,4,5,6
P(rolling a 2) = number of outcomes that is a 2/ total outcomes
= 1/6
PLEASE HELP ME PLEASEEEEEEEEE HELP
Answer:
Step-by-step explanation:
x^2+4x+3
we need to factorise this
So (x+1)(x+3)
X=-1 x=-3
Hope that helps.
A castle guard is standing on the opposite side of an 8-foot moat and wants to reach a window that is 15 feet above the ground. The guard
props a ladder against the castle wall to form a right triangle as shown. Approximate the length of the ladder needed to reach the window to
the nearest tenth of a foot.
Using the Pythagorean Theorem, it is found that the length of the ladder needed to reach the window is given by:
a. 17.0 ft.
What is the Pythagorean Theorem?The Pythagorean Theorem relates the length of the legs [tex]l_1[/tex] and [tex]l_2[/tex] of a right triangle with the length of the hypotenuse h, according to the following equation:
[tex]h^2 = l_1^2 + l_2^2[/tex]
In this problem, the length of the ladder in feet is the hypotenuse, considering legs [tex]l_1 = 8, l_2 = 15[/tex].
Hence:
[tex]h^2 = 8^2 + 15^2[/tex]
[tex]h = \sqrt{8^2 + 15^2}[/tex]
h = 17.0 ft.
More can be learned about the Pythagorean Theorem at https://brainly.com/question/26396675
#SPJ2
A circle has a radius of 10 cm and a sector of the circle
has an arc length of 10.8 cm.
The angle at the centre of the sector is x.
Calculate the value of x to the nearest degree.
10.8 cm
10 cm