Answer:
should be 15.
Step-by-step explanation:
Calculate the volume and surface area of a cone with the base of 20cm, the vertical hieght of 34cm and 35.6cm leaning height.
Answer:
Step-by-step explanation:
Volume = 1/3πr²h
Surface Area = πr(r+√(h²+r²))
V = 1/3π(10)²(34) = 3560 .5 cm³
SA = π(10)(10 + √(34²+10²)) = 1427.5 cm²
132 divide t 12 x 12 - 124 divide 31
Answer:
31
Step-by-step explanation:
A certain forest covers an area of 2600 km^2. Suppose that each year this area decreases by 4.75%. What will the area be after 11 years? Use the calculator provided and round your answer to the nearest square kilometer.
Answer:
1522km^2
Step-by-step explanation:
To solve this, first convert the percentage to a decimal. That would be .0475.
Now subtract that from 1.0 to get the factor it decreases by. This would be 1-.0475 = .9525
Multiply 2600 x (.9525)^11 = 1522.258 which rounds to 1522 km^2
Answer:
The area will be 1292.98 km² after 11 years.
Step-by-step explanation:
To find what decreases by 4.57% each year in kilometers:
2600 × 4.57/100 = 26 × 4.57
= 118.82 km²
To find the area after 11 years:
118.82 × 11 = 1307.02
2600 - 1307.02 = 1292.98 km²
1292.98 km² is the answer.
7th Grade Math Answer ASAP Please <3
Answer:
Hey there!
Andrew made a mistake in the last step. -11.8+9.8=2, not -21.6.
Let me know if this helps :)
There are 10 students on the basketball team. The coach selects 3 of them to go to the basketball clinic. In how many ways can she choose 3 of the 10 students?
[tex]_{10}C_3=\dfrac{10!}{3!7!}=\dfrac{8\cdot9\cdot10}{2\cdot 3}=120[/tex]
Question :-
There are 10 students on the basketball team. The coach selects 3 of them to go to the basketball clinic. In how many ways can she choose 3 of the 10 students?Answer :-
The coach can choose 3 of the 10 students in 120 ways.[tex] \rule{200pt}{3pt}[/tex]
Combinations refers to the number of ways of selecting from a set when the order is not important. The number of combinations of n objects taken r at a time is given by [tex]\sf C(n, r) = \dfrac{n!}{(n - r)!r!}, n \geqslant r[/tex].
Solution :-
As per the provided information in the given question, we have been given that the number of combinations of 10 students taken 3 at a time. We have been asked to calculate the ways that she can choose 3 of the 10 students.
To calculate the ways that she can choose 3 of the 10 students, we will apply the formula below :-
[tex] \qquad \bigstar \: \: \: \boxed{ \sf{ \: \: C(n, r) = \dfrac{n!}{(n - r)!r!} \: \: }}[/tex]
Substitute the given values into the above formula and solve for C:
[tex]\sf:\implies{ C(n, r) = \dfrac{n!}{(n - r)!r!}}[/tex]
[tex]\sf:\implies{ C(10, 3) = \dfrac{10!}{(10 - 3)!3!}}[/tex]
[tex]\sf:\implies{ C(10, 3) = \dfrac{10!}{7!3!}}[/tex]
[tex]\sf:\implies{ C(10, 3) = \dfrac{10 \cdot 9 \cdot 8 \cdot \cancel{7!}}{ \cancel{7!}3!}}[/tex]
[tex]\sf:\implies{ C(10, 3) = \dfrac{10 \cdot 9 \cdot 8}{3 \cdot 2}}[/tex]
[tex]\sf:\implies{ C(10, 3) = \dfrac{720}{6}}[/tex]
[tex]\sf:\implies \bold{ C(10, 3) = 120 \: ways}[/tex]
Therefore :-
The coach can choose 3 of the 10 students in 120 ways.[tex]\\[/tex]
Learn more about combinations at https://brainly.com/question/11955073
Have a great day! <33
10 [25-{8-6 (16-13)}÷5
Answer:
70
Step-by-step explanation:
to solve : start wit the inside brackets first
10 [25-{8-6 (16-13)}÷5 start 16-3
10[25-{8-6(3)}÷5 then multiply 6 and 3
10[25-{8-18}]÷5 then subtract 8-18
10[25-(-10)]÷5
10[25+10)÷5 add numbers inside brackets
10×35÷5=70 multiply and divide
the square of 5 is divided by the cube root of 27. what is the remainder
Step-by-step explanation:
square of 5 is 25 and it divided by the cube root of 27 means 3
Now ,
#25÷3
= 8 [1] (•°• 3×8 = 24)
Here,
we got 1 as a reminder .
Hope it is helpful to you
✌️✌️✌️✌️✌️✌️✌️
The remainder will be 1.
What is Division method?Division method is used to distributing a group of things into equal parts. Division is just opposite of multiplications. For example, dividing 20 by 2 means splitting 20 into 2 equal groups of 10.
Given that;
The square of 5 is divided by the cube root of 27.
Now,
Since, The square of 5 is divided by the cube root of 27.
Hence, We get;
⇒ 5² / ∛27
⇒ 25 / 3
After divide we get;
3 ) 25 ( 8
24
--------
1
Thus, The value of remainder = 1
Learn more about the divide visit:
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Find the perimeter of this figure. (Image down below)
Answer:
The answer is
44 ftStep-by-step explanation:
The figure above is a rectangle
To find the perimeter of a rectangle we use the formula
Perimeter of a rectangle = 2l + 2w
where
l is the length of the rectangle
w is the width of the rectangle
From the question
length = 14 ft
width = 8ft
Substituting the values into the above formula we have
Perimeter = 2(14) + 2(8)
= 28 + 16
We have the final answer as
Perimeter = 44 ftHope this helps you
2(x + 4) - 8 = 36-10
Answer:
x=13
Step-by-step explanation:
sinx =căn 2/3
sinx=5/4
sinx =1
sin3x=can3/2
sin(x-60)=-1/2
sin3x=1/2
Answer:
Correct option is
B
0
D
−1
sinx+sin2x+sin3x
=sin(2x−x)+sin2x+sin(2x+x)
=2sin2xcosx+sin2x [ by using sin(A+B)=sinAcosB+sinBcosA and sin(A−B)=sinAcosB−sinBcosA ]
=sin2x(2cosx+1)........(i)
cosx+cos2x+cos3x
=cos(2x−x)+cos2x+cos(2x+x)
=2cos2xcosx+cos2x [By using cos(a−b)=cosa⋅cosb+sina⋅sinb and cos(a+b)=cosa⋅cosb−sina⋅sinb]
=cos2x(2cosx+1).....(ii)
∴(sinx+sin2x+sin3x)
2
+(cosx+cos2x+cos3x)
2
=1
sin
2
2x(2cosx+1)
2
+cos
2
2x(2cosx+1)
2
=1.......[From(i)(ii)]
⇒(2cosx+1)
2
=1
⇒2cosx+1=±1
∴cosx=0or−1
Which statement explains the type of function that is represented by the equation
y=x2 + 9?
Bismah is building 5 raised garden beds in a community garden. Each raised garden bed will need 1 7 8 bags of soil. How many bags of soil will Bismah need for all 5 raised garden beds?
Answer:
890 if it’s 178 bags per garden bed
Step-by-step explanation:
since 1 raised garden bed is supposedly 178 bags, 5 would be 890 since it’s just 5x178. if it’s not 178 bags (which would make sense since 178 is a big number), just multiply 5 by that number and if it’s a decimal round up to the next whole number if it’s about how many bags Bismah needs to buy, since you can’t by 1/2 of a bag
Bismah will need a total of 890 bags of soil for all the 5 raised garden. beds.
What is Multiplication?.Multiplication is one of the basic operations in mathematics where a number is added repeatedly to itself up to the times as the value of the other number.
That is, if a number p is multiplied to another number q, p × q, implies that p is added repeatedly to itself q times or q is added repeatedly to itself up to p times.
Number of garden beds Bismah has raised = 5
Number of bags of soil needed for a garden bed = 178 bags
Number of bags of soil needed for 5 garden bed = 178 × 5 bags
= 890 bags
Hence Bismah would need 890 bags of soil for the 5 raised garden beds in the community garden.
To learn more about Multiplication, click on the link given below :
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If n(A) = P and n(B)=q then n(AxB) is (a ) p (b ) q ( c ) p+q ( d ) pq
By way of example, suppose A = {1, 2, 3} and B = {a, b, c}. Then the Cartesian product of A and B is
A × B = {{1, a}, {1, b}, {1, c}, {2, a}, {2, b}, {2, c}, {3, a}, {3, b}, {3, c}}
That is, each element in A gets a pairing with each element in B, and for each pairing you have n(A) choices for the first element and n(B) choices for the second element.
So if n(A) = p and n(B) = q, then n(A × B) = pq.
How do the number line graphs of the solutions sets of Negative 23 greater-than x and x greater-than-or-equal-to negative 23 differ?
Answer:
For "Negative 23 greater-than x" , highlight the left half of the number line starting at -23 and use a parenthesis ) on -23.
For "x greater-than-or-equal-to negative 23", highlight the right half of the number line starting at -23, and use a square bracket [ on -23.
Step-by-step explanation:
Start by locating the number -23 on the number line. Please see attached image to accompany the explanation.
In the first case: "Negative 23 greater-than x" , which is expressed mathematically as:
[tex]-23 >x[/tex]
notice that "x" has to be strictly smaller than the number -23, therefore those sought x values must reside to the left of the number -23, so we have to highlight that half of the number line. Apart from that, we need to include a symbol on top of the number -23, that indicates that -23 itself shouldn't be considered as part of the set, that symbol is by convention a parenthesis ).
In the second case: "x greater-than-or-equal-to negative 23", which is expressed mathematically as:
[tex]x\geq -23[/tex]
notice that "x" has to be greater than or equal to the number -23, therefore those sought x values must reside to the right of the number -23, so we have to highlight that half of the number line. Apart from that, we need to include a symbol on top of the number -23, that indicates that -23 itself should be considered as part of the set, that symbol is by convention a square bracket [.
Answer:
the answer is A
Step-by-step explanation:
Find the x-intercept(s) of the equation: y =3x^2-3x-6
a. x-intercepts: (-1,0) and (2,0)
b. x-intercepts:(0,-3) and (0,2)
c. x-intercept: (-6,0)
d. x-intercept: (0,-6)
Answer:
(2,0) ( -1,0)
Step-by-step explanation:
y =3x^2-3x-6
Let y = 0 and solve for x to find the x intercepts
0 =3x^2-3x-6
Factor out a 3
0 =3(x^2-x-2)
Factor inside the parentheses
0 = 3( x-2) (x+1)
Using the zero product property
x-2 =0 x+1 = 0
x=2 x = -1
(2,0) ( -1,0)
Answer:
[tex]\large \boxed{\mathrm{a. \ x-intercepts: (-1,0) \ and \ (2,0)}}[/tex]
Step-by-step explanation:
The x-intercept(s) is when y = 0.
3x² - 3x - 6 = 0
Factor left side of the equation.
3(x + 1)(x - 2) = 0
Set factors equal to 0.
x + 1 = 0
x = -1
x - 2 = 0
x = 2
The x-intercepts are (-1, 0) and (2, 0).
0 is the multiplicative identity of the set of rational numbers true or false
if [tex] x\times e=x[/tex] for all x, then e is the Multiplicative Identity.
is this enough for you to get the answer?
Answer:
FALSE.
Step-by-step explanation:
1 is the multiplicative identity of the set of rationals.
andy is making floor plans for a tree house using a scale 1in to 2ft he wants to make the floor of the tree house have a length of 8ft. how many inches should he show for this distance on his floor plan
Answer:
Andy should represent the 8 feet long floor on the floor plan with a dimension of 4 inches
Step-by-step explanation:
The scale of the tree house plan is given as 1 in. to 2 ft,
Therefore we have a scale of 1/2 in. of the floor plane is equivalent to 1 ft. in actual dimensions
Given that Andy wants the floor to make the tree house floor to have a length of 8 ft., let the dimension of the floor plan of the house floor be x, we have;
[tex]\dfrac{\frac{1}{2} \ inches \ plan }{1 \ feet \ actual} =\dfrac{x \ inches \ plan}{8 \ feet \ actual}[/tex]
[tex]x \ inches \ plan =\dfrac{\frac{1}{2} \ inches \ plan }{1 \ feet \ actual} \times 8 \ feet \ actual = 4 \ inches[/tex]
Therefore, Andy should represent the 8 feet long floor on the floor plan with a dimension of 4 inches.
Solve for a.
-4a – 2a – 7 = 11
a =
[?]
Answer:
or, -4a - 2a -7 = 11
or, -4a -2a =11 +7
or, - 6a = 18
or, a= 18÷ -6
a= -3
What is the area?
6 mm
5 mm
3 mm
13 mm
8 mm
9 mm
Answer:
none of above .
Step-by-step explanation:
because the unit of area is always in square forms.
James conducted an experiment with 4 possible outcomes. He determined that the experimental probability of event A happening is 10 out of 50. The theoretical probability of event A happening is 1 out of 4. Which action is most likely to cause the experimental probability and theoretical probabilities for each event in the experiment to become closer? removing the last 10 trials from the experimental data completing the experiment many more times and combining the results to the trials already done including a fifth possible outcome performing the experiment again, stopping immediately after each event occurs once
Answer:
Completing the experiment a few more times and combining the results to the trails already done.
Answer:
Completing the experiment a few more times and combining the results to the trails already done.
Step-by-step explanation:
An office supply store recently sold a black printer ink cartridge for $14.99 and a color printer ink cartridge for $20.99. At start of a recent fall semester, a total of 42 of these cartidges was sold for a total of $695.58. How many of each type were purchased?
Answer:
B = 31, C = 11
Step-by-step explanation:
Let B be the number of Black printer ink cartridges and C be the number of color printer ink cartridges.
42 were sold in total, hence,
B+C= 42 ------------(1)
Also, its given that
14.99 B+20.99C= 695.58 ------(2)
Multiplying (1) by 20.99,
14.99 B+14.99 C= 629.58 ------(3)
Now, subtracting (3) from (2),
14.99 B+20.99C= 695.58
14.99 B+14.99 C= 629.58
------------------------------------
6 C = 66
C= 66/6
C = 11
We know, B+ C= 49
Hence B = 42- 11 = 31
B = 31
Hence, number of Black printer ink cartridges = 31 and color printer ink cartridges = 11 .
An oil tank has to be drained for maintenance. The tank is shaped like a cylinder that is 4.5 ft long with a diameter of 1.4 ft. Suppose oil is drained at a rate of
1.7 ft per minute. If the tank starts completely full, how many minutes will it take to empty the tank?
Hey there! I'm happy to help!
First, let's find the volume of the cylindrical tank.
To find the volume of a cylinder, take the area of the circle base and multiply it by the height of the cylinder.
To find the area of a circle, you square the radius and multiply it by pi (we will use 3.14).
The diameter is always twice the radius, so we divide by two to find the radius.
1.4/2=0.7
We square this.
0.7²=0.49
And we multiply by 3.14.
0.49×3.14=1.5386
Now that we have the area of the circle, we multiply by the height (length in our case since the cylinder is sideways).
1.5386×4.5=6.9237
Now, we see that we will be losing 1.7 feet every minute. To see how many times 1.7 feet goes into our cylinder, we just divide!
6.9237÷1.7= 4.07276470588
So we see that it will take just over 4 minutes for the tank to empty.
Have a wonderful day and keep on learning! :D
Write the ratio as a fraction in simplest form.
0.65 to 0.15
Answer:
13/3
Step-by-step explanation:
Write as a fraction first,
0.65/0.15
convert decimal to fractions,
13/20/3/20 = 13/3
solve 3(x +15) ≤5(x+2) + 15
Answer:
x≥5
Step-by-step explanation:
3(x+15)≤5(x+2)+15
3x+45≤5x+10+15
3x+35≤5x+25
3x-5x≤25-35
-2x≤-10
x≥5
{x:xEx:6,7,8,9,10....}
Hope this helps ;) ❤❤❤
find the roots of the following equation X + 1 whole square minus x square equal to 2
Answer:
x = 1/2
Step-by-step explanation:
Let's represent this in a mathematical way,
(x+1)^2 - x^2 = 2
Ok now we expand,
x^2 + 2x + 1 -x^2 = 2
rearrange,
x^2 - x^2 + 2x + 1 = 2
subtract,
2x + 1 = 2
subtract 1 from both sides,
2x + 1 - 1 = 2 - 1
2x = 1
Now divide 2 from both sides and get your answer,
x = 1/2
Answer:
[tex](x + 1) { }^{2} - x {}^{2} = 2[/tex]
[tex]x {}^{2} + 2x + 1 - x {}^{2} = 2[/tex]
[tex]2x + 1 = 2[/tex]
[tex]x = 1 \div 2[/tex]
what is the volume of a cube with and edge length of 4 cm
Answer:
V = 64 cm^3
Step-by-step explanation:
Volume of a cube is given by
V = s^3 where s is the side length
V = 4^3
V = 64 cm^3
Answer:
64
Step-by-step explanation:
i guess so as the volume is 4×4×4
ANSWER QUESTIONS QUICKLY PLZZZZZZ
Answer:
See below.
Step-by-step explanation:
Since the two triangles are similar, this means that their corresponding sides are proportional. In other words:
[tex]\frac{PQ}{XY}=\frac{QR}{YZ}=\frac{RP}{ZX}[/tex]
Part A:
We already know PQ, RP, XY, and YZ.
To find XZ, we can use the first and third proportions:
[tex]\frac{PQ}{XY} =\frac{RP}{ZX} \\=\frac{7.2}{18}=\frac{6.5}{ZX}[/tex]
Cross multiply:
[tex]117=7.2(ZX)\\ZX \text{ or } XZ = 16.25[/tex]
Part B:
The same thing as Part A, but with the first and second proportions:
[tex]\frac{PQ}{XY}=\frac{QR}{YZ}\\\frac{7.2}{18}=\frac{QR}{7}\\50.4=18(QR)\\QR=2.8[/tex]
1/4(8x-4)=
need help please answer
Answer:
2x-1 is the answer (or if you're trying to multiply it, the answer is -8.)
Step-by-step explanation:
the population of a small city grows by 600 every year. If there were 900 people initially, find the population of the city 60 years after the city was first established
Answer:
36900
Step-by-step explanation:
It's a linear function with equation P(t)=900+600*t. P(60)=900+600*60=36900
Answer:
36,900
Step-by-step explanation:
First do 600 times 60=36,000
Next add 900
36,000+900=36,900
theres your answer :)
PLEASE HELP
Water flows through a pipe at a rate of 490 milliliters every 6.5 hours. Express this
rate of flow in fluid ounces per minute. Round your answer to the nearest hundredth.
Answer:
[tex]0.042~\dfrac{fl~oz}{min}[/tex]
Step-by-step explanation:
1 gal = 231 in.^3
1 gal = 128 fl oz
1 in. = 2.54 cm
1 ml = 1 cm^3
[tex]\dfrac{490~ml}{6.5~hour} \times \dfrac{1~cm^3}{1~ml} \times \dfrac{1~in.^3}{(2.54~cm)^3} \times \dfrac{1~gal}{231~in.^3} \times \dfrac{128~fl~oz}{1~gal} \times \dfrac{1~hour}{60~min} =[/tex]
[tex]= 0.042~\dfrac{fl~oz}{min}[/tex]
Answer:
On delta math its 0.04
Step-by-step explanation: