Answer:
Volume of fountain cup in gallons = 1,192.5 gallon (Approx.)
Step-by-step explanation:
Given:
Height of Frustum = 8 feet
Diameter of top = 6 feet
Diameter of base = 4 feet
Find;
Volume of fountain cup in gallons
1 cubic foot = 7.5 gallons
Computation:
Radius of top = 6 / 2 = 3 feet
Radius of base = 4 / 2 = 2 feet
Volume of fountain cup in gallons = (πh/3)[R² + r² + Rr]
Volume of fountain cup in gallons = [(3.14)(8)/3)[3² + 2² + (3)(2)]
Volume of fountain cup in gallons = [8.37)[9 + 4 + 6]
Volume of fountain cup in gallons = [8.37)[19]
Volume of fountain cup in gallons = 159.03
Volume of fountain cup in gallons = 159 feet³
Volume of fountain cup in gallons = 159 x 7.5
Volume of fountain cup in gallons = 1,192.5 gallon (Approx.)
Determine The Length Of the diagonal in the rectangle below
Answer:
It would be 25.
Step-by-step explanation:
By knowing that opposite sides of a rectangle are congruent, you can start by making a right triangle, with 7 and 24 as the legs.
Next, employ Pythagorean Theorem (a^2+b^2=c^2) to get the diagonal.
7^2+24^2=c^2
49+576=c^2
625=c^2
25 = c
It would be 25.
solve this inequality 2(4x+1)<3(2x-3)
Answer:
x<-11/2
Step-by-step explanation:
but don't trust me too much bestie
easy math question good luck
Answer:
c/d
Step-by-step explanation:
pretty sure it's just circumfrence over diameter
c/d
Answer:
The value of pi is the ratio of the circumference of a circle to its diameter. So then, you can determine the value of pi by drawing a perfect circle
Step-by-step explanation:
Which is an expression in square units that represents the area of the shaded segment of center ofOC
A: 1/4 r^2(3.14-4)
B: 1/4pier^2
C: 1/4pier^2-2r^2
D: 1/2r^2(1/2pie-1)
9514 1404 393
Answer:
D
Step-by-step explanation:
The formula for the area of a segment is ...
A = 1/2r²(θ -sin(θ))
for radius r and central angle θ.
Here, we have θ = π/2, so this becomes ...
A = 1/2r²(π/2 -1) . . . . . matches choice D
can someone help me please?
help lol -30=5(x+1) x= ?
1.Distribute
-30=5(x+1). x
[tex]-30=5x^{2}+5x[/tex]
2. Move terms to the left side
[tex]-30=5x^{2} +5x[/tex]
[tex]-30-(5x^{2} +5x)=0[/tex]
3. Rearrange terms
[tex]-30-5x^{2} -5x=0[/tex]
[tex]-5x^{2} -5x-30=0[/tex]
Hope this helps! Sorry if I'm wrong
[tex]\huge\text{Hey there!}[/tex]
[tex]\large\text{ORIGINAL EQUATION}\downarrow[/tex]
[tex]\large\textsf{ -30 = 5(x + 1)}[/tex]
[tex]\large\text{TURN the EQUATION}[/tex]
[tex]\large\textsf{5(x + 1) = -30}[/tex]
[tex]\large\text{DISTRIBUTE \textsf{5} WITHIN the PARENTHESES}[/tex]
[tex]\large\textsf{5(x) + 5(1) = -30}[/tex]
[tex]\large\textsf{5(x) = \bf 5x}\\\large\textsf{5(1) = 5}[/tex]
[tex]\rightarrow\large\textsf{5x + 5 = -30}[/tex]
[tex]\large\text{NEW EQUATION: \textsf{5x + 5 = -30}}[/tex]
[tex]\large\text{SUBTRACT \textsf{5} to BOTH SIDES}[/tex]
[tex]\large\textsf{5x + 5 - 5 = -30 - 5}[/tex]
[tex]\large\text{CANCEL out: \textsf{5 - 5} because that gives you \textsf{0}}[/tex]
[tex]\large\text{KEEP: \textsf{-30 - 5} because that helps you solve for your \textsf{x-value}}[/tex]
[tex]\large\textsf{-30 - 5 = \bf -35}[/tex]
[tex]\large\text{NEW EQUATION: \textsf{5x = -35}}[/tex]
[tex]\large\text{DIVIDE \textsf{5} to BOTH SIDES}[/tex]
[tex]\mathsf{\dfrac{5x}{5}= \dfrac{-35}{5}}[/tex]
[tex]\large\text{CANCEL out: }\mathsf{\dfrac{5x}{5}}\large\text{ because that gives you the value of \textsf{1}}[/tex]
[tex]\large\text{KEEP: }\mathsf{\dfrac{-35}{5}}\large\text{ gives you the \textsf{x-value}}[/tex]
[tex]\large\textsf{x = }\mathsf{\dfrac{-35}{5}}[/tex]
[tex]\large\text{SIMPLIFY ABOVE \& YOU HAVE YOUR x-value}[/tex]
[tex]\boxed{\boxed{\large\textsf{ANSWER: \huge \bf x = -7}}}\huge\checkmark[/tex]
[tex]\text{Good luck on your assignment and enjoy your day!}[/tex]
~[tex]\frak{Amphitrite1040:)}[/tex]
HELP! Will give branliest!!
Answer:
10y + 29 ≤ -23
Step-by-step explanation:
subtract 29 from each side to get:
10y ≤ -52
y ≤ -5.2
At which approximate x-value are these two equations equal
y = √1 - x^2
y = 2x - 1
9514 1404 393
Answer:
x = 0.8
Step-by-step explanation:
If you mean y = √(1 -x²), then the curves cross at x=0.8.
__
If you equate the y-expressions, then square both sides, you have ...
√(1-x²) = 2x-1
1 - x² = (2x -1)² = 4x² -4x +1
0 = 5x² -4x . . . . . subtract the left-side expression
x(5x -4) = 0 ⇒ x = 0, or x = 4/5
The x=0 solution is extraneous.
The two equations are equal at x = 4/5.
Geometry help!! Find x and y.
Answer:D x=45° y=10.9√2
Step-by-step explanation:
In a right angle were two sides are equal, two remaining angles add up to 90. So it is 90/2 which is 45°
Y²=10.9²+10.9²
Y=15.41
Or y = 10.9√2
URGENT HELPP!!!NO LINKS
Answer:
25 I believe
Step-by-step explanation:
think has 5 letters
only using it once ofc
5×5= 25
Please help me with this question!:))
Answer:
6
Step-by-step explanation:
Answer:
C
Step-by-step explanation:
the two lines mean absolute value. The absolute value of a number is just the number positive. For example the absolute value of -5 is 5 and the absolute value of 5 is 5. So on C, when you plug in -6, you get the absolute value of -6 which is 6. 6 is not greater than 6
if that makes sense :)
A triangular prism. The rectangular sides are 2 centimeters by 13 centimeters, 12 centimeters by 2 centimeters, and 5 centimeters by 2 centimeters. The 2 triangular sides have a base of 5 centimeters and height of 12 centimeters. Which equation could be used to find the surface area of the net of the triangular prism shown? SA = (1/2)(5)(12) + (5)(2) + (12)(2) + (13)(2) SA = (1/2) (5)(13) + (1/2) (5)(13) + (5)(2) + (13)(2) + (12)(2) SA = (1/2)(5)(12) + (1/2)(5)(12) + (5)(2) + (12)(2) + (13)(2) SA = (2)(5)(13) + (5)(2) + (13)(2) + (12)(2)
Answer:
(C)SA = (1/2)(5)(12) + (1/2)(5)(12) + (5)(2) + (12)(2) + (13)(2)
Step-by-step explanation:
egde
Answer:
C
Step-by-step explanation:
What is the volume, in cubic m, of a rectangular prism with a height of 17m, a width of 14m, and a length of 11m?
Answer:
The answer is 2618m
Answer:
2618
Step-by-step explanation:
measure of the angle labeled?
Given:
The figure of a circle.
The measure of arc SR = 75 degrees.
Measure of angle RSQ = 95 degrees.
To find:
The measure of SQ.
Solution:
Let us consider, O be the center of the circle.
According to the central angle theorem, the measure central angle on an arc is twice of inscribed angle on the corresponding angle.
Using the central angle theorem, we get
[tex]m\angle QOR=2\times m\angle RSQ[/tex]
[tex]m\angle QOR=2\times (95^\circ)[/tex]
[tex]m\angle QOR=190^\circ[/tex]
It is the central angle on major arc QR.
We know that the measure of complete central angle is 360 degrees.
The central angle on minor arc QR is:
[tex]360^\circ -190^\circ =170^\circ[/tex]
It means the measure of arc RSQ is 170 degrees.
[tex]m(arc RS)+m(arc SQ)=m(arcRSQ)[/tex]
[tex]75^\circ+m(arc SQ)=170^\circ[/tex]
[tex]m(arc SQ)=170^\circ -75^\circ[/tex]
[tex]m(arc SQ)=95^\circ[/tex]
Therefore, the measure of arc SQ is 95 degrees.
A gallon of gas costs $3.05 per gallon. Joey's car gets 35 miles per gallon on the highway and 27 miles per gallon in the city. Using the
highway, Joey drives at an average speed of 54 miles per hour, and it takes him 0.5 hours to get to work. The highway has one $1.25 toll.
Using a city street route, Joey drives at an average speed of 36 miles per hour, and it takes him 1 hour to get to work.
Which quantities would be used to determine the total cost for Joey to drive to work using the highway? Choose all that apply. A. 0.5 hours B. 1 hour C. $1.25 per car D. $3.05 per gallon E. 27 miles per gallon F. 35 miles per gallon G. 36 miles per hour H. 54 miles per hour
Answer:
The quantities that would be used to determine the total cost for Joey to derive to work using the highway are:
A. 0.5 hours
C. $1.25 per car
D. $3.05 per gallon
F. 35 miles per gallon
H. 54 miles per hour
Step-by-step explanation:
Cost of a gallon of gas = $3.05
Distance travelled per gallon on the highway = 35 miles
Distance travelled per gallon in the city = 27 miles
Joey's average speed using the highway = 54 miles per hour
Number of hours to get to work using the highway = 0.5 hours
Toll on the highway = $1.25
Joey's average speed using the city street route = 36 miles per hour
Number of hours to get to work using the city street route = 1 hour
Relevant data for highway driving total costs:
Cost of a gallon of gas = $3.05
Distance travelled per gallon on the highway = 35 miles
Joey's average speed using the highway = 54 miles per hour
Number of hours to get to work using the highway = 0.5 hours
Toll on the highway = $1.25
Total costs for using the highway = $1.25 + ($3.05/35 * 54 * 0.5) = $3.60
Answer:
A, B, D, F, H
Step-by-step explanation:
Please help this is due at 11/00 pm
Answer and Step-by-step explanation:
Each unit is equal to each other, and we know that both allowances together equates to 72, so if we divide the amount of units that there are, we can determine the amount per month.
There are 8 units in total.
72 divided by 8 = 9
Now, we do 9 times the amount each person has.
You = 5 * 9 = 45
Friend = 3 * 9 = 27
#teamtrees #PAW (Plant And Water)
Help find the volume of this equation
Always know the formula for volume prism because that shape is a prism.
Formula For PRISM: BH/2 x Height.
So then we are going to solve the triangle first... 7 x 22= 154/2= 77
Then multiply by the height which is 25.
77 x 25= 1,925.
So your answer should be 1,925 meters cubed. *Don't forget to write the measurement
*hope this helps
Answer:1925
Step-by-step explanation:
Find x in the following right triangles please help!! :D will award brainliest <3
Step-by-step explanation:
x²=13²-5²
x²=169-25
x²=144
√x²=√144
x=12dm
x²=24²+10²
x²=576+100
x²=676
√x²=√676
x=26in
please mark brainliest
66,66,70,88.........?,236
Answer:
I am so confused I don't know how to answer this.
Need help !! Plz!!!??!
Answer:
here, diameter is 4 cm
radius=diameter/2
=4/2 cm
=2 cm
now use formula pie (r)^2 where pie is 3.14
=pie *(r)^2
=3.14*(2cm)^2
=12.56 cm^2
Step-by-step explanation:
A woman has eight keys on a key ring, one of which fits the door she wants to unlock. Sherandomly selects a key and tries it. If it does not unlock the door, she randomly selects anotherkey from those remaining and tries to unlock the door with it. She continues in this manner untilthe door is unlocked. Let X be the number of keys she tries before unlocking the door, countingthe key that actually worked.
Required:
Find the expected number of keys she will try before she opens the door.
Answer:
The expected number of keys she will try before she opens the door is 4.5.
Step-by-step explanation:
A woman has eight keys on a key ring, one of which fits the door she wants to unlock.
Each of them is equally as likely to be the one to work, which means that this situation is represented by an uniform distribution with lower bound [tex]a = 1[/tex] and upper bound [tex]b = 8[/tex].
Find the expected number of keys she will try before she opens the door.
The expected value of the uniform distribution is given by:
[tex]E = \frac{a + b}{2}[/tex]
Considering [tex]a = 1, b = 8[/tex], as is the case in this exercise:
[tex]E = \frac{1 + 8}{2} = 4.5[/tex]
The expected number of keys she will try before she opens the door is 4.5.
−3.5+2.5+(−0.25)+(−3.25)
Answer:
-4.5
Step-by-step explanation:
Please help i need the answer done step by step
Answer:
x = 40
Step-by-step explanation:
So a triangle is 180 degrees
and thats a right triangle = 90 degrees
you have three corners: 90, 50 & x
90 + 50 + x = 180
140 + x = 180
subtract 140 from both sides
x = 40
hope this helps
like this up !
Answer:
40 is the asnwer
Step-by-step explanation:
1. Well, first of all we know that all right angles add up to 180 degrees. The degrees shown in the picture are 50, and 90. You can’t see the 90 exactly, but you can tell by that little square, that’s how it shows us!
2. Second step, we add up 60 and 90 which is 140. We got that, now we can subtract this 140 to the 180 to get our answer!
3. 180 – 140 is equal to 40!
4. Therefore, the 3rd angle is 40!
5. Not confident with my ansawer? Proof time!
6. 40 + 50 + 90 = 180
7. Since this all adds up to 180, it is true!
Have a great day!
In ΔPQR, p = 95 inches, q = 64 inches and ∠R=53°. Find the area of ΔPQR, to the nearest square inch.
Answer:
2428
Step-by-step explanation:
Please hel p me. !!!!!!! I need the median.
In ascending order,
36, 43, 50, 51, 58, 59, 60, 69, 73
N=9
median (Q2)= N+1/2
or, Q2= 9+1/2
or, Q2= 10/2
= 5th item
Therefore, the median is 58.
I don't know if this is correct or not.
WHAT IS 22 DIVIDED BY TAN 75?? please help me!!!! i’m taking a math test i need a good grade! (question in picture)
Answer: -52.2936778905
Step-by-step explanation:
Find the volume.
h = 10 cm
rea
144 cm
Answer:
I'm not sure but I think it could be 1440cm³
Step-by-step explanation:
have a great rest of ur day
The mean temperature for the first 4 days in January was 1°C.
The mean temperature for the first 5 days in January was 3°C.
What was the temperature on the 5th day?
Answer:
Step-by-step explanation:
mean is average, so if we label the first through fifth days of january a-e we can solve it.
So average of the first four is (a+b+c+d)/4 = 1 and the first five is (a+b+c+d+e)/5 = 2. Since it's easy, let's get rid of the fraction in both.
(a+b+c+d)/4 = 1 and (a+b+c+d+e)/5 = 2
a+b+c+d = 4 and a+b+c+d+e = 10
Now, we know a+b+c+d is 4, so we can replace that in the second equation
a+b+c+d+e = 10
4 + e = 10
e = 6
ad since e is the fifth day, we know the temperature of it. Let me know if something here didn't make sense
Write the equation of the circle that is centered at (- 13, - 2) and has a diameter of 24^ *
Step-by-step explanation:
Given :-
Centre = (-13,-2) Diameter = 24And we need to find out the equation of the circle. Since the diameter is 24 u therefore it's radius will be 12 u . Now we can use the Standard equation of circle to find out the equation .
Standard equation of circle :-
[tex]\implies (x-h)^2+(y-k)^2 = r^2 [/tex]
Where (h,k) is centre and r is radius.[tex]\implies (x-(-13))^2+(y-(-2))^2 = 12^2 \\\\\implies ( x+13)^2+(y+2)^2=144 \\\\\implies x^2+169+26x+y^2+4+4y=144\\\\\implies x^2+y^2+26x+4y+ 29 =0[/tex]
WILL
GIVE BRAINLIST
C
C
C
C
C
Answer: September
Step-by-step explanation:
The bar for September is the highest above the horizontal axis.