Answer:
is in the shape of a sphere
diameter = 60 feet
radius = r = 60/2 = 30 feet
Step-by-step explanation:
volume of sphere = 4/3 × π × r³
= 4/3 × π × 30³
=4/3π × 27,000
= 36000π cubic feet
Answer:
36000π cubic feet
Step-by-step explanation:
Given :
Diameter of sphere = 60 feetSolving :
Volume = 4/3πr³But 2r = d or r = d/2Therefore, volume is :⇒ 4/3π(d/2)³⇒ 4/24πd³⇒ 1/6πd³⇒ 1/6 x 60 x 60 x 60 x π⇒ 10 x 3600π⇒ 36000π cubic feetThe function P(x) is mapped to I(x) by a dilation in the following graph.
Which answer gives the correct transformation of P(x) to get to I(x)?
The correct transformation of P(x) to get I(x) is I(x) = 2P(x)
What is transformation?
Transformation is the movement of a point from its initial location to a new location. Types of transformation are rotation, translation, reflection and dilation.
From the graph of I(x) and P(x), we can see that:
I(x) = 2P(x)
The correct transformation of P(x) to get I(x) is I(x) = 2P(x)
Find out more on transformation at: https://brainly.com/question/1548871
Which of the following statements is FALSE?
AO = 7.8 cm
c1 = 40°
BO = 7.8 cm
a2 = 40°
Parallelogram is a quadrilateral with equal diagonals. The statement BO = 7.8 cm is the only false statement
Properties of a parallelogramFrom the given diagram, the opposite sides and angle of the figure are the same but the diagonals are not equal. This shows that:
m<B = m<D
m<A = m<C
Since the diagonals are not equal that is BD is not equal to AC, hence:
OB ≠ OC
Hence the statement BO = 7.8 cm is the only false statement
Learn more on parallelogram here: https://brainly.com/question/970600
Answer:BO = 7.8 cm
Step-by-step explanation: just did the quiz
What is the standard form of the equation of a parabola that opens left or right? A. Y = ax2 + bx + c B. X = ay2 + by + c C. X = a(y - v)2 + h D. Y = a(x - h)2 + v
Answer:
The equation of the parabola which opens left or right is (B) x= ay^2 + by + c
:)
The question is in the image. I really need help, please.
Answer:
(b) 65/27
Step-by-step explanation:
Here, we notice the index for the summation runs from 0 to 3, so there are a total of 4 terms.
The sum represented by the summation symbol is ...
5(-2/3)^0 +5(-2/3)^1 +5(-2/3)^2 +5(-2/3)^3
= 5(1 -2/3 +4/9 -8/27)
= 5/27(27 -18 +12 -8)
= 5(13/27) = 65/27
__
There is a formula for the sum of a geometric series:
Sn = a1×(1 -r^n)/(1 -r)
Here, the first term is a1 = 5(-2/3)^0 = 5. The common ratio is the base of the exponential, r = -2/3. So, the sum of n=4 terms is ...
S4 = 5×(1 -(-2/3)^4)/(1 -(-2/3)) = 5×(1 -16/81)/(5/3) = 65/27
Please help, I’ll mark your answer as brainliest.
Answer:
it'sssssss 2.51
Step-by-step explanation:
========≈==================
A figure is made up of three triangles. Each triangle has a base of 5 feet and a height of 4.5 feet. What is the total area of the figure?
Group of answer choices
33.75 ft²
43.75 ft²
67.5 ft²
22.5 ft²
Answer:
Step-by-step explanation:
3 * 1/2 * 5 * 4.5
= 33.75 fT^2.
What is the value of c
Answer:
x = 49º
Step-by-step explanation:
This is right angle, and right angle's are always a 90º angle. 90º - 41º is 49.
So the basic answer is 49, but it's properly written as "49º".
Hope this helps!!
The value of x: 49 degrees
Note: All the angles in a triangle add up to 180 degrees
What we're given:
41 degrees, A right angle, and x.
A right angle is 90 degrees.
Equation:
41 + 90 + x = 180
131 + x = 180
x = 49 degrees
Find the smallest number by which 6615 is to be multiplied by to get a perfect square
Answer:
3x 5
Step-by-step explanation:
please help me with the question in the picture
Answer:
(x - 5) / (x - 6) (don't put them in brackets, i'm doing this to signify that all of x - 5 is being divided by all of x - 6).
Step-by-step explanation:
x² + 2x - 35:
what multiplies into -35 and adds into 2?
7 and -5
so the top is now (x + 7)(x - 5)
x² + x - 42
what multiplies into -42 and adds into 1?
-6 and 7
so the bottom is now (x + 7)(x - 6)
the 2 lots of (x + 7) cancel and you are left with (x - 5) / (x - 6)
Answer:
[tex]\frac{x-5}{x-6}[/tex]
Step-by-step explanation:
Let's start with the numerator to factor it.
We need two numbers adding up to 2 and multiplying to -35. Easy to see the number are +7 and -5. You can then factor as [tex]x^2+2x-35=(x+7)(x-5)[/tex]
Denominator then. Same story, Two number adding to 1 and multiplying to -42. Numbers are +7 again and -6. Factors as before:
[tex]x^2+x-42=(x+7)(x-6)[/tex].
Now you can simplify
[tex]\frac{x^2+2x-35}{x^2+x-42} = \frac{(x+7)(x-5)}{(x+7)(x-6)}= \frac{x-5}{x-6}[/tex]
An angle of measure [tex]\frac{4\pi }{3}[/tex] intersects the unit circle at point ([tex]-1/2,- \frac{\sqrt{3} }{2}[/tex]). What is the exact value of tan([tex]\frac{4\pi }{3}[/tex])?
a. -1/2
b. [tex]\sqrt{3[/tex]
c. [tex]\frac{\sqrt{3} }{3}[/tex]
d. [tex]-\frac{\sqrt{3} }{2}[/tex]
Answer:
b. √3
Step-by-step explanation:
Given a point on the unit circle that represents the position of the terminal ray of an angle, the tangent of that angle is the ratio of the y-coordinate to the x-coordinate.
tan(4π/3) = y/x = (-√3/2)/(-1/2) = √3/1
tan(4π/3) = √3
_____
Additional comment
A calculator can confirm this for you.
please help i am confused
Answer:
Step-by-step explanation:
If 70% passed both, then that means 30% passed either one test, or neither test.
Since 80% passed the first test, we know that 20% of the students failed the first test.
This means that the other 10% of the students came from the 80% that already passed the first test.
These make up 10/80 = 12.5% of the people that passed the first test, meaning your answer is 100-12.5=87.5%
Find the amplitude and period of y = 5 cos (4x)
Answer: amplitude is 5 and Period is pi/2
Step-by-step explanation:
yes ♀️
please check picture and answer correctly please.
Answer:
27
Step-by-step explanation:
multiply 9 x 6 and you get 54. Since it's a triangle divide by 2 and you get 27
I need the green box with question mark I can’t get the second part
Answer:
-14
Step-by-step explanation:
-8 = 3/2 x 4 + ?
-8 = 6 + ?
-8 - 6 = -14
Your answer will be -14.
Have an amaizng day!!
Please rate and mark brainliest!!
A box of 15 cookies costs $9dollar sign, 9. What is the cost for 1 cookie?
Answer:
$1.66 or $1.70 if you round up
Step-by-step explanation:
50
The graph shows a proportional relationship between the
number of kilometers traveled by a bicycle (y) and the number of
minutes (x).
45
40
35
30
Distance traveled (km)
What is the unit rate, expressed in kilometers per minute?
25
20
O 0.30 km/min
15
(40, 12)
O 0.33 km/min
03.10 km/min
->
5 10 15 20 25 30 35 40 45 50
Time (min)
3.33 km/min
1
2
3
4
5
6
7
8
Next
9
10
Given a graph with a line running through coordinates (0,0) and coordinates (40,12), the unit rate of the relationship between the number of kilometers traveled by a bicycle (y) and the number of minutes (x) is given by the slope of the line.
Natalie can hop 24 times in 8 minutes at a constant rate. How many times can she hop in 7 minutes?
Answer:
in 7 mins she can hop 21 times
Step-by-step explanation:
24 divided by 8 = 3
24-3=21
Answer:
Natalie can hop 21 times in 7 minutes
Step-by-step explanation:
To figure out how many times she can hop in 7 minutes you need to find the average hop each minute.
First, you write 24/8. You simply that to 3/1.
So Natalie can jump 3 times in 1 minute.
If you want 7 minutes, you multiply 1 by 7, and 3 by 7, which gets you 21 hops for 7 minutes.
-I hope this helps!
What will be the sales price of the car if it has a regular price of $16 000 and is on sale for 20% off? Determine the cost of the car including 13% tax.
Answer:
14,464
Step-by-step explanation:
16,000 - 20% = 12,800
12,800 + 13% = 14,464
I hoope this is correct. Have a wonderful day and dream a good dream of good people. :)
What is the correct answer for this?
Volume:-
side³a³5³125cm³Help will give brainleiest
Answer:
40" by 50"
Step-by-step explanation:
From inspection of the diagram,
height of 2 squares of the quilt ≈ height of doll plus a little bit
⇒ height of 2 squares of the quilt ≈ 18 + 2 = 20 in
⇒ height of 1 square of the quilt ≈ 20 ÷ 2 = 10 in
As the height of a square = width of a square
⇒ width of 1 square of the quilt ≈ 10 in
Dimensions of the quilt
width = 4 squares = 4 × 10 = 40 in
height = 5 squares = 5 × 10 = 50 in
Ratios
We can also work out the width and height by using ratios.
The ratio of width to height of the quilt = 4 squares : 5 squares
If we multiply by 10, the ratio becomes 40 : 50
Final Solution
40" by 50"
Find S.P. in the following cases. a) M.P. = Rs 540, discount = 5 %
Step-by-step explanation:
Given:-
MP = Rs 540. Discount = 5 %To Find:-
Sell priceSolution:-
SP = MP - Discount.
MP = Marked Price ( Also called List Price) SP = Selling Price.Discount = (Discount %) of MP
Discount = (5/100) 54p
Discount = 27 Rs
Subtract discount from MP to get SP
SP = MP - Discount
SP = 540 - 27 Rs
SP = 513 Rs
Answer;
soln;
MP= Rs 540
discount = 5%
now,
SP = MP - D% of MP
= 540 - 5/100 * 540
=Rs 513
someone please help me find the value of x
Answer:
x = 102.5°
Step-by-step explanation:
these two angles are adjacent and supplementary which means their sum must be equal to 180 degrees
create this equation to find 'x':
x + x-25 = 180
combine 'like' terms:
2x - 25 = 180
add 25 to each side:
2x = 205
x = 205/2 or 102.5°
Benjamin has 3 dimes and 4 nickels. What percent of a dollar does he have?
Answer:
50%
Step-by-step explanation:
Hope this helped
Maybe mark brainiest
Dime = 10 cents
Nickel = 5 cents
Total value of coins = 3(10) + 4(5) = 30 + 20 = 50
To find the percent, first create a fraction. The fraction will be the amount of money that Benjamin has over the total (one dollar).
50 / 100 = 5 / 10 = 0.5
0.5 x 100 = 50
50%
Answer: 50% of a dollar
Hope this helps!
Question 7 (1 point)
Which polynomial is equivalent to x2 + 3x ?
O a
-
-
Ob
-
-3 (22 – 2x) + 4x (x + 3) - 12x
3 (22 + 2x) - 4x (x - 3) + 3x
-3 (x2 + 2x) + 4x (x + 3) - 3x
3(x2 - 2x - 4x (x - 3) + 12x
ос
Od
-
-
-
Answer:
c
Step-by-step explanation:
Determine which polynomial is a perfect square trinomial. 4x2 − 12x 9 16x2 24x − 9 4a2 − 10a 25 36b2 − 24b − 16.
This [tex]4x^2 - 12x + 9[/tex] factors into [tex](2x - 3)^2[/tex], and is thus a perfect square trinomial.
What is a perfect square?A perfect square is a number system that can be expressed as the
square of a given number from the same system.
Trinomial [tex]Ax^2 + Bx + C[/tex] is a perfect square if
A > 0
C > 0
B = ±2√A√C
1. [tex]36b^2 - 24b - 16[/tex]
C < 0
2. [tex]4a^2 - 10a + 25[/tex]
2√A√C = 2×2×5
= 20,
B = −10
3. [tex]16x^2 + 24x - 9[/tex]
not a perfect square,
C < 0
4. [tex]4x^2- 12x + 9[/tex]
perfect square
A>0,
C>0,
2√A√C = 2×2×3
-B = 12
= [tex](2x - 3)^2[/tex]
Thus, [tex]4x^2- 12x + 9[/tex] the polynomial is a perfect square trinomial.
Learn more about perfect square;
https://brainly.com/question/1832550
Tom earns $3200 a month. He pays $950 to rent an apartment. What percent of Tom’s income does he pay
Hey there!
Answer:
336.84%
3200 out of 950 is 336.84%
Solution:
3200 out of 950 is what %?
3200 out of 950 is P%
Equation: Y/X = P%
Solving our equation for P
P% = Y/X
P% = 3200/950
p = 3.3684
Convert decimal to percent:
P% = 3.3684 * 100 = 336.84%
well, if we take 3200 to be the 100%, what is 950 off of it in percentage?
[tex]\begin{array}{ccll} amount&\%\\ \cline{1-2} 3200 & 100\\ 950& x \end{array} \implies \cfrac{3200}{950}=\cfrac{100}{x}\implies \cfrac{64}{19}=\cfrac{100}{x} \\\\\\ 64x=1900\implies x=\cfrac{1900}{64}\implies x = 29.6875[/tex]
Terrence measured an Italian restaurant and made a scale drawing. The scale of the drawing was 7 centimeters = 2 meters. What scale factor does the drawing use?
Simplify your answer and write it as a fraction.
Answer:
200/7
Step-by-step explanation:
(2 meters)/(7 centimeters) or (2m/7cm)
1 meter = 100 cm
(2m/7cm)*(100cm/1m) = 200/7 (or 28.57) scale factor.
Please help i am confused
Answer: 12.16
Step-by-step explanation:
Factor completely.
x2 - 10x + 24
Answer:
[tex]\boxed{\sf{(x-4)(x-6)}}[/tex]
Step-by-step explanation:
In order to solve this problem, all you have to do is multiply their expressions by their factors.
To begin, you must group these expressions.
[tex]\sf{x^2-10x+24=\left(x^2-4x\right)+\left(-6x+24\right)}[/tex]
After that, you factor.
Solve.
[tex]\sf{x^2-4=x(x-4)}[/tex]
-6x+24=-6(x-4)
Then rewrite the problem down.
x(x-4)-6(x-4)
Factor by the common term.
(x-4)(x-6)
Therefore, the final answer is (x-4)(x-6).
I hope this helps you! Let me know if my answer is wrong or not.
Y= x + 6
y= -x+2
solve each system of equations by substitution
Answer:
x= -2
y=4
Step-by-step explanation:
Since we have an equation set equal to y, we can plug it in for either value of y.
I will be using y= x+6 in this case.
Plug in x+6 for the other equation, so instead of y=-x+2 it will now be that x+6 = -x+2
Now add x to both sides, and that will remove the x on the left side leaving us with 2x+6 = 2
Now, subtract 6 from both sides to get 2x isolated, and you will get 2x= -4
Divide both sides by 2 to get x= -2
Not plug x= -2 in back for the top (or bottom) equation and get that y=4
Hope this helps and isn't too complicated!