We know:
[tex]{{ \diamond\diamond \quad{ \boxed{ \pink{ \sf{Volume \: of \: Sphere ={ \large{ \frac{4}{3} \pi {r}^{3} }}}}}}} \quad \diamond \diamond}[/tex]
where,
Radius (r) = Diameter/2 = 12/2 = 6 yards. Pi (π) = 22/7[tex] \: [/tex]
[tex]{\longrightarrow {\sf{Volume \: of \: Sphere \: = \: { \large {\frac{4}{3} \times \frac{22}{7} \times {6}^{3} }}}}}[/tex]
[tex] {\longrightarrow {\sf{Volume \: of \: Sphere \: = \: { \large{ \frac{88}{21} \times 6 \times 6 \times 6 }}}}}[/tex]
[tex] {\longrightarrow {\sf{Volume \: of \: Sphere \: = \: { \large{ \frac{88}{21} \times 216 }}}}} [/tex]
[tex] {\longrightarrow {\sf{Volume \: of \: Sphere \: = \: { \large{ \frac{19008}{21} }}}}} [/tex]
[tex] {\longrightarrow {\sf{Volume \: of \: Sphere \: = \: { \large{ { \boxed{ \red{ \sf{905.14 {yards}^{3} }}}}}}}}} [/tex]
Thus, The volume of Sphere is 905.14yards³. (Approx.)
What multiplies to 14 and adds to 15
14 and 15
to find:which number multiplies to 14 and add up to 15.
solution:[tex]1 + 14 = 15[/tex]
[tex]1 \times 14 = 14[/tex]
[tex] = 1[/tex]
therefore, the number which multiplies to 14 and add up to 15 is 1
= 1
because,
14×1 = 14
14+1= 15
15. If m arc BY = 40 degrees, what is m angle YAC? the figure is not drawn to scale.
Using the tangent theorem and the inscribed angle theorem, the measure of angle YAC in the figure is: 70°.
What is the Tangent Theorem?The angle formed at the point of tangency of the radius and the tangent equals 90 degrees based on the tangent theorem.
What is the Inscribed Angle Theorem?According to the inscribed angle theorem, an inscribed angle equals the measure of the arc intercepted.
m∠BAY = 1/2(40) [inscribed angle theorem]
m∠BAY = 20°
m∠BAC = 90° [tangent theorem]
m∠YAC = 90 - 20
m∠YAC = 70°
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Jackie has a choice of 3 pairs of shoes, 3 pants, and 4 shirts that can make an outfit for today. Each pair of shoes has a different heel height, each pair of pants is made from a different fabric, and each shirt is a different color.
Jackie randomly picks some clothes.
What is the probability that she chooses an outfit consisting of the flat heel or spike heel shoes, the twill or the denim pants, and the white or black shirt?
Answer:
2/9
Step-by-step explanation:
i just took a test with this exact question, and the answer was 2/9
youre welcome future learners ;)
Which equation could be solved using this application of the quadratic formula? a. -2x2 − 8 = 10x − 3 b. 3x2 − 8x − 10 = 4 c. 3x2 8x − 10 = -8 d. -2x2 8x − 3 = 4
The equation that can be solved when the given quadratic formula is used is c. 3x² + 8x − 10 = -8.
How can we use quadratic equations?The given quadratic equation is:
x = (-8 ± √(8² - 4(3)(-2))) / 2 (3)
Rewriting the quadratic equation in option C gives:
3x² + 8x − 2 = 0
Seeing as a quadratic equation takes the form:
x = (-b ± √(b² - 4(a)(c))) / 2 (a)
The formula becomes:
x = (-8 ± √(8² - 4(3)(-2))) / 2 (3) which is the given quadratic formula.
In conclusion, option C is correct.
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What is an equation of the line that passes through the point (−2,−3) and is parallel to the line 4x−y=1?
I need help, please and thank you
Answer:
It's -3.125
Step-by-step explanation:
1/8 in decimal is 0.125
the 3 is a whole number so just put it in front.
Remember it's a negative, so you get:
-3.125
Answer:
-3.125
Step-by-step explanation:
- Multiply 3 and 8 to get 24. [tex]-\frac{24+1}{8}[/tex]
- Add 24 and 1 to get 25. [tex]-\frac{25}{8}[/tex]
- Turn [tex]-\frac{25}{8}[/tex] into a decimal to get -3.125
14. A store was selling packs of paper for $1.82 a pack. Rosa spent $12.74 on the
packs of paper.
a. Write an equation to find the number of packs of paper, p. Rosa bought.
Answer:
she bought 7 packs of paper
Step-by-step explanation:
12.74/p = 7
y = -6x+2
-12x-2y = -4
How many solutions does this linear system have?
O one solution: (0, 0)
O one solution: (1,-4)
Ono solution
O infinite number of solutions
Answer:
infinite number of solutions
Step-by-step explanation:
Given equations:
y = -6x+2-12x - 2y = -4Rearrange the second equation to make y the subject:
⇒ -12x - 2y = -4
⇒ -12x - 2y + 2y = -4 + 2y
⇒ -12x = -4 + 2y
⇒ -12x + 4 = -4 + 2y + 4
⇒ -12x + 4 = 2y
⇒ (-12x + 4) ÷ 2 = 2y ÷ 2
⇒ y = -6x + 2
Comparing the rearranged equation with the first equation, we can see that both equations are the same.
Therefore, as there is only one line, there are an infinite number of solutions.
What fraction is 380 lb of 400 lb?
Answer:
19/20
Step-by-step explanation:
380÷ 20= 19
400÷20= 20
prove that √5 + 7 is irational
Explanation:
What are irrational numbers?
Irrational numbers include numbers like: π, 12π, ∛2, √11, √12, 4√2
Note: √4 = ± 2, √16 = ± 4 and others which completely square root are still rational numbers as they can be written as whole number integers.
Here given number: √5 + 7
It is an irrational number as it cannot be simplified further to a whole number. In decimals: 9.236067977... and keeps repeating. It is an example of non-recurring decimals. Hence, it is an irrational number.Work out length of BC
Answer:
assume [tex]13 = z \\ 8 =x \\ bc = y[/tex]
by phytagorean theorem
[tex]{y}^{2} + {x}^{2} = z^{2} [/tex]
so
[tex]bc = y = \sqrt{ {z}^{2} - {x}^{2} } = \sqrt{169 - 64} = \sqrt{105} [/tex]
[tex] \huge \tt \color{pink}{A}\color{blue}{n}\color{red}{s}\color{green}{w}\color{grey}{e}\color{purple}{r }[/tex]
[tex] \large\underline{ \boxed{ \sf{✰\:Note }}}[/tex]
★ 1st let's know what is the given figure is and it's related concepts for solving !
➣ Given Triangle is a right angled triangle ➣ It is having 3sides let's know what are the name of these sides ➣ 1st AB is know as hypotenuse➣ 2nd AC and is called Base of the triangle➣ 3rd BC whích is know as perpendicular of the triangle➣ Hypotenuse(H):-The side of a right triangle opposite the right angle.➣ Perpendicular(P):- Exactly upright; extending in a straight line. ➣ Base(B):- it also known as the side opposite to hypotenuse➣Perpendicular and base are know as the leg of right angled triangle➣ We can easily find length of one missing side by using a theorem name as "Pythagorean theorem"➣ Pythagorean theorem :- A mathematical theorem which states that the square of the length of the hypotenuse of a right triangle is equal to the sum of the squares of those of the two other sides★ Note :- The Pythagorean theorem only applies to right triangles.[tex] \rule{70mm}{2.9pt}[/tex]
★ Writing this theorem mathematically ★
[tex] { \boxed{✫\underline{ \boxed{ \sf{Pythagorean \: theorem \: ⇒ {Hypotenuse }^2={ Base }^2+ {Height }^2}}}✫}}[/tex]
★ Here ★
➣ Base (AC)= 8cm➣ Hypotenuse (BA)= 13cm[tex] \rule{70mm}{2.9pt}[/tex]
✝ Assumption ✝➣ let perpendicular/length ( BC ) = "x"[tex] \boxed{ \rm{ \pink ➛BA^2= AC^2+BC^2}}[/tex]
[tex] \rule{70mm}{2.9pt}[/tex]
✝ let's substitute values ✝[tex]\rm{ \pink ➛13^2= 8^2+x^2} \\ \rm{ \pink ➛169 = 64 + {x}^{2} } \\ \rm{ \pink ➛169 - 64 = {x}^{2} } \\ \rm{ \pink ➛105 = {x}^{2}} \\ \rm{ \pink ➛ \sqrt{105} \: or \: 10.2469 = x} \\ [/tex]
[tex] \rule{70mm}{2.9pt}[/tex]
Hence length (BC) in the given triangle is of
[tex] { \boxed{✛\underline{ \boxed{ \sf{\sqrt{105} cm\: or \: 10.2469cm\green✓}}}✛}}[/tex]
[tex] \rule{70mm}{2.9pt}[/tex]
Hope it helps !
The pirate captain ordered his men to dig
For treasure. Six men dug, one at a time, im
qual shifts for a total of three and a half
hours. How long was each man's shift?
Asap help
what is 722 divided by 9
Answer: Heyaa! ~
772 divided by 9 is... 80.2
Step-by-step explanation:
Lets solve! ~
Reduce the expression if possible by cancelling the common factors.Hopefully this helps you! ^^
2.4 divided by 0.24 pllss help
Answer:
your answer is 10 Goodluck
Solve the following:
4x3 = 2x + 7
Answer:
If you meant 4x to the third power, than x = 1.34
Given that a randomly chosen customer likes cake, what is the probability that the customer also likes pie? two-sevenths two-fifths four-sevenths four-fifths
Using it's concept, it is found that the probability that the customer also likes pie is of [tex]\frac{2}{7}[/tex]
What is a probability?A probability is given by the number of desired outcomes divided by the number of total outcomes.
Researching the problem on the internet, it is found that of the 14 students that like cake, 4 also like pie, hence the probability is given by:
p = 4/14 = 2/7.
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Answer:
it's a i think
Step-by-step explanation:
Which are differences of perfect cubes? select two options. 9a3- 27 125a12 - 72 216a6 - 27y3 8a15 - 27 225a3 - 216
The expressions that are differences of perfect cubes from the options given are:
c. 216a⁶ - 27y³
d. 8a¹⁵ - 27
What is a Perfect Cube?A perfect cube can be described as a number that is gotten when an integer is multiplied by itself three times.
216a⁶ - 27y³ is a difference of perfect cubes because: (6a²)³ - (3y)³.
So also is the expression, 8a¹⁵ - 27.
The difference of perfect cubes are:
c. 216a⁶ - 27y³
d. 8a¹⁵ - 27
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Answer:
C 216a6 - 27y3
D 216a6 - 27y3
Step-by-step explanation:
I took the test on edge. :)
What is the range of the data set?
Answer:
In statistics, the range is the spread of your data from the lowest to the highest value in the distribution.
Step-by-step explanation:
Answer:
The range of a set of data is the difference between the highest and lowest values in the set.
Which function rule represents the best line of fit for the data in the plot?
Answer:
f(x) = -1/2x + 8
or
The first one
Step-by-step explanation:
hope this helps
have a good day
please help meeeeeeeeeeeeeeeeeeeee
Which figures can be circumscribed by a circle? Select all that apply.
Answer:
A, B, C, D
Step-by-step explanation:
They All add up to 360
Answer:
B and D
Step-by-step explanation:
figures which can be circumscribed by a circle are called cyclic quadrilaterals.
the opposite angles of a cyclic quadrilateral sum to 180°
A
∠ B + ∠ D = 82° + 56° = 138° ≠ 180° ← not cyclic
B
∠ B + ∠ D = 103° + 77° = 180° and ∠ A + ∠ C = 90° + 90° = 180° ← cyclic
C
∠ B + ∠ D = 112° + 90° = 202° ≠ 180° ← not cyclic
D
∠ B + ∠ D = 90° + 90° = 180° and ∠ A + ∠ C = 90° + 90° = 180°← cyclic
Then B and D can be circumscribed by a circle
please help i have no idea what to do
Answer: D) 80 degrees
Step-by-step explanation:
Of 750 people surveyed, 440 were male and 345 had cell phones. Of those with cell phones, 205 were female. What is the probability that a person surveyed was male or had a cell phone?
before i continue my keyboard is malfunctioning so bear with me
answer:
25/68
Step-by-step explanation:
total number-750
males-440
females-750-440=310
those with Cell -345
females with cell -205
males-345-205=140
male with cell -140/345
=25/68
Answer:
25/68
Step-by-step explanation:
total number=750
Male=440
Female=750-440
=310
People with cell phone= 345
Female with cell phone=205
Male=345-205
=140
Male with cell phone=140/345
=25/68
please solve this problem using the pythagorean theorem, and give me the right answer and I will give you brainliest. :)
samantha got home after school and found a package sitting on the front porch she carried 20N package upstairs her stair are 10m tall how much work did she do (need to show solution)
Answer:
Zero
Step-by-step explanation:
Work done in the vertical direction is 0 because no displacement can be taken. Hence, the correct answer to this problem is zero
the lengths of the side of a triangle are 8,10,12 is the triangle acute, right, or obtuse?
Answer:
acute triangle
Step-by-step explanation:
because (12)^2 = 144 while [tex]8^{2}[/tex] + [tex]10^{2}[/tex] = 164 which means the sum of it's smaller angles are greater than it's greatest angle so it's an acute triangle
Answer:
take the two smaller sides, call them a and b. call the longest side c.
if a^2 + b2 = c^2 you have a right triangle
if < c^2 it's acute
if > c^2 it's obtuse
in addition, if you can find a,b,c such that
a=b=c it's equilateral
a=b≠c it's isosceles
a≠b≠c it's scalene
plug in your numbers and make your choice.
Step-by-step explanation:
Which graph represents the solution of (y+2)²/4 + (x-3)²/9 <1 and y ≤√x-1-4?
Answer:
y²+x-7=-x+37
Step-by-step explanation:
im a pickle morty its the funniest thing ive ever experienced
Answer:
A
Step-by-step explanation:
how to do a reflection on the line y=-x
change (x,y) -> (-y,-x)
Sandy made several investments. She bought 1000 shares of a company’s stock for $8.60/share, she bought a bond with a face value of $2500 and a coupon rate of 7%, and she invested $5000 into a fund that is expected to grow by 3.5% per year.
The bond Sandy purchased will mature in 10 years. How much interest will she receive semiannually?
How long will it take the fund she invested in to be worth $10,000?
what is the slope of the line that passes through (4,-9) and
(1,3)?
Answer:
slope = - 4
Step-by-step explanation:
calculate the slope m using the slope formula
m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]
with (x₁, y₁ ) = (4, - 9 ) and (x₂, y₂ ) = 1, 3 )
m = [tex]\frac{3-(-9)}{1-4}[/tex] = [tex]\frac{3+9}{-3}[/tex] = [tex]\frac{12}{-3}[/tex] = - 4
Answer:
[tex]m=-4[/tex]; the slope is -4
Step-by-step explanation:
[tex]slope=\frac{rise}{run} =\frac{y^2-y^1}{x^2-x^1}[/tex]
coordinates: (4,-9) (1,3)
[tex]\frac{3-(-9)}{1-4}=\frac{-12}{-3} =-4[/tex]
= -4 is your answer
hope this helped
~rere
