Answer:
B. [tex] \frac{125}{6}* \pi [/tex] yd³
Step-by-step explanation:
Given:
Surface area of a sphere = 25π yd²
Required:
Volume
Solution:
Let's find the radius (r) first.
S.A of sphere = 4πr²
Substitute
25π = 4πr²
Divide both sides by 4π
25π/4π = r²
25/4 = r²
Take the square root of both sides
√25/√4 = r
5/2 = r
r = 5/2 yd
Find the Volume of the sphere
V = ⁴/3*πr³
V = ⁴/3*π*(⁵/2)³
V = ⁴/3*π*125/8
V = ⅓*π*125/2
V = [tex] \frac{1*125}{3*2}* \pi [/tex]
V = [tex] \frac{125}{6}* \pi [/tex] yd³
C. 20 people show up to the party, and Robert decides to give them each the
same amount of pizza. How much pizza does each person get?
Answer:
Step-by-step explanation:3/5 of the pizza
How much material would it take to cover the sandbox?
Answer:
D.6,600 ft
Step-by-step explanation:
I hope it helps
What is the length of x?
Answer:
9.04
Step-by-step explanation:
tan 37 = x/12
0.7536 x 12= x
x = 9.04
how to find the vat on 14% of 1800
Answer:
14/100*1800
25200/100
252
Step-by-step explanation:
therefore vat=252
Help this one as well pls and thank you
Answer:
11x +9
Step-by-step explanation:
Add the two expressions together to get the total number of ice creams sold
8x+16 + 3x-7
Combine like terms
8x+3x + 16 -7
11x +9
Answer:
11x +9
Step-by-step explanation:
Add the two expressions together to get the total number of ice creams sold
8x+16 + 3x-7
Combine like terms
8x+3x + 16 -7
11x +9
Can someone please help?
Answer:
It is closer to 7,000 than 8,000
i need this done fast
Answer: 1) V≈1244.07 in 2) V≈54286.72 ft 3) V≈23816.41 yd
Step-by-step explanation:
Consider a random variable Z which has a standard normal distribution (mu = 0, sigma = 1). Choose which of the following values would be equivalent to the following probability:
P (Z > 0.54)
A. P(Z > 0.54.
B. P(Z < 0.54).
C. 1 - P(Z < - 0.54).
D. 1 - P(Z < 0.54).
Answer:
A. P ( Z > 0.54) = 0,7054
B. P ( Z < 0.54) = 0.2946
C.1) 1 - 0.2946 = 0.7054
D.1) 1 - 0.2946 = 0.7054
Step-by-step explanation:
A) P ( Z > 0.54) = 1 - P ( Z ≤ 0.54)
P ( Z ≤ 0.54) = 0,2946 from z-table
P ( Z > 0.54) = 1 - 0,2946
P ( Z > 0.54) = 0,7054
B) P ( Z < 0.54) = 0.2946
C) 1 - P ( Z < - 0,54)
1 - 0.2946 = 0.7054
D) 1 - P ( Z < 0,54)
1 - 0.2946 = 0.7054
can someone help me find the value of w please :)
Answer:
w=18.27
Step-by-step explanation:
Using Trig you have opposite and hypotenuse so use SIN
Sin(66)=w/20
20Sin(66)=w
w=18.27
if the sum of two consecutive odd number is 20 find the number
Answer:
Step-by-step explanation:
let a number be x
let another number be x+1
x+x+1=20
2x=20-1
x=19/2
x=9.5
therefore one number is 9.5 and another number is x+1=9.5+1=10.5
[tex]\huge{ \mathrm{ \underline{ Answer} \: \: ✓ }}[/tex]
Let the Consecutive odd numbers be x and x+2
[tex]x + x + 2 = 20[/tex][tex]2x = 20 - 2[/tex][tex]2x = 18[/tex][tex]x = 9[/tex]Therefore, the numbers are :
[tex]x = 9[/tex][tex]x + 2 = 11[/tex]______________________
[tex]\mathrm{ ☠ \: TeeNForeveR \:☠ }[/tex]
Find the exact value of tan A in simplest radical form.
PLEASE HELP
Answer:
[tex] \tan(A) = \frac{opp}{adj} \\ \tan(A) = \frac{ \sqrt{72} }{3} \\ \tan(A) = \frac{ \sqrt{36 \times 2} }{3} \\ \tan(A) = \frac{6 \sqrt{2} }{3} \\ \tan(A) = 2 \sqrt{2} [/tex]
CAN SOMEONE ANSWER THIS?
tan ( 37 ) = x / 12
x = 12 * tan( 37 )
Help please worth 57 points
Answer:
Always, always.
Determine the area of the figure. Note that each unit is one unit in length.
Answer:
nao sei ispoosksjjdkdddks
Answer:
54
Step-by-step explanation:
Split into 2 rectangles and 2 triangles and calculate area
what is the perimeter of this given figure
pahelp po. thank you
Answer:
14 units
Step-by-step explanation:
Side length of each square is 1 unit.
So, sum of the lengths of all the border edges = 14 units
Thus, the Perimeter of the figure = 14 units
Which angles are supplementary to
∠4? Select all that apply.
∠2 ∠7
∠5 ∠6
∠1
Answer:
The supplementary angle are:
∠2
∠3
∠6
∠7
A rectangle has a perimeter of 14 cm and length x cm. show that the width of the rectangle is (7-x)cm and hence that the area A of the rectangle is given by the formula A= x(7-x). Draw the graph, plotting x on the horizontal axis with a scale of 2cm to 1 unit, and A on the vertical axis with a scale of 1cm to 1 unit
take x from 0 to 7. From the graph find:
a) the area of the rectangle when x = 2.25cm
b) the dimensions of the rectangle when its area is 9cm^2
c) the maximum area of the rectangle
d) the length and width of the rectangle corresponding to the maximum area
e) what shape of the rectangle has the largest area
Answer:
B
Step-by-step explanation:
the dimensions of the rectangle when its area is 9cm^2
Solve for x. The triangles in each pair are similar. Please explain!! I’m so confused
Answer:
[tex]x = 5[/tex]
Step-by-step explanation:
Given
[tex]\triangle JDC[/tex] similar to [tex]\triangle JKL[/tex]
Required
Find x
To do this, we make use of the following equivalent ratios
[tex]JK:JL = JD:JC[/tex]
This gives
[tex]98 : 63 = 7x + 7:27[/tex]
Express as fraction
[tex]\frac{98 }{ 63} =\frac{ 7x + 7}{27}[/tex]
Multiply both sides by 27
[tex]27 * \frac{98 }{ 63} =\frac{ 7x + 7}{27} * 27[/tex]
[tex]27 * \frac{98 }{ 63} =7x + 7[/tex]
[tex]3* \frac{98 }{ 7} =7x + 7[/tex]
[tex]3* 14 =7x + 7[/tex]
[tex]42 =7x + 7[/tex]
Collect like terms
[tex]7x = 42 - 7[/tex]
[tex]7x = 35[/tex]
Divide both sides by 7
[tex]x = 5[/tex]
Which does NOT have a value of 4 when
simplified?
1. 5.6x0.15 + (-3.16)
1. (-7x23) + (-43)
III. -5.6+4(3)
Answer:
3 beause when you dividend it -5.6+4(3) .
Solve the system of linear equations by elimination. Show your work
2x-y=-3
4x + 3y = -21
Answer:
x = -3, y = -3
Step-by-step explanation:
Solve the following system:
{-y + 2 x = -3 | (equation 1)
3 y + 4 x = -21 | (equation 2)
Swap equation 1 with equation 2:
{4 x + 3 y = -21 | (equation 1)
2 x - y = -3 | (equation 2)
Subtract 1/2 × (equation 1) from equation 2:
{4 x + 3 y = -21 | (equation 1)
0 x - (5 y)/2 = 15/2 | (equation 2)
Multiply equation 2 by 2/5:
{4 x + 3 y = -21 | (equation 1)
0 x - y = 3 | (equation 2)
Multiply equation 2 by -1:
{4 x + 3 y = -21 | (equation 1)
0 x+y = -3 | (equation 2)
Subtract 3 × (equation 2) from equation 1:
{4 x+0 y = -12 | (equation 1)
0 x+y = -3 | (equation 2)
Divide equation 1 by 4:
{x+0 y = -3 | (equation 1)
0 x+y = -3 | (equation 2)
Collect results:
Answer: x = -3, y = -3
AABC - DEF. What sequence of transformations will move A ABC onto A DEF? 10 8 A(0.4) B(0,0) C(3.0) -10 -8 -6 -4:1-2 6 8 10 -2D(0.2) 24 8 -10 E(0.-10) F( 6-10)
Answer:
Option B
Step-by-step explanation:
It's clear from the graph attached,
ΔABC has been dilated and shifted downwards.
Length of segment AB = 2 units
Length of segment DE = 4 units
Scale factor by which the dilation has been done = [tex]\frac{\text{Dimension of the image triangle}}{\text{Dimension of the original triangle}}[/tex]
Scale factor = [tex]\frac{DE}{AB}[/tex]
= [tex]\frac{4}{2}[/tex]
= 2
Therefore, triangle ABC is dilated by a scale factor of 2 about the origin.
Lets consider a point B(0, 0) from the given graph and analyze the transformations done.
If a point B(0, 0) is shifted to point E(0, -10) which follows the rule,
B(0, 0) → E(0 + h, 0 + k)
Here, 'h' and 'k' are the translations of the given point over x-axis and y-axis.
Therefore, (0 + h) = 0 ⇒ h = 0
0 + k = -10
k = -10
Hence, triangle ABC has been dilated by a scale factor of 2 centered at origin and followed by the translation (x, y - 10)
Option B is the correct option.
Which ordered pair belongs to the function shown by this mapping diagram?
Answer:
{(7, 3), (8, 1), (9, 1), (10, 2)}
Step-by-step explanation:
Options are missing for this given problem, however, let's find the ordered pairs that should belong to the function shown by the mapping above:
We have the x-values (inputs) on our left while the corresponding y-values (outputs) are on our right.
The ordered pairs (x, y) are as follows:
{(7, 3), (8, 1), (9, 1), (10, 2)}
A car dealer just took delivery on forty new cars. He plans to put four of these cars on display at the front of the lot. In how many ways can the dealer combine four of the forty cars if order is not important?
A. 1,096,680
B. 91,390
C. 45,695
D. 2,193,360
Answer:
B. 91,390
Step-by-step explanation:
I've had this question before, I don't like'em, but that's the answer.
Answer:
option B
Step-by-step explanation:
[tex]40C_4 = \frac{40\times 39 \times 38 \times 37}{1 \times 2 \times 3 \times 4} = 91,390[/tex]
solve for x + 24 = -12
answer in the box
x equals_______
Answer:
x = -36
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightEquality Properties
Multiplication Property of Equality Division Property of Equality Addition Property of Equality Subtraction Property of EqualityStep-by-step explanation:
Step 1: Define
Identify
x + 24 = -12
Step 2: Solve for x
[Subtraction Property of Equality] Subtract 24 on both sides: x + 24 - 24 = -12 - 24[Subtraction] Simplify: x = -36The area of the base of a cylinder is equivalent to the base of a circle? A) True. B) False
Answer:
Yes
Step-by-step explanation:
The base of both the cylinder and Circle are both circles.
If [×] =5 what is the value of x?
Answer:
x = 5
Step-by-step explanation:
I didn't quite understand what you were asking but x should equal 5
Answer: 1 is the answer because nothing time _ will equal 5 but 1 times anything equal that number So its 1
Which of the folowing elements represent the whole? a. percentage b. base c. rate d. both a and b
Answer:
The answer is letter D
Explanation:
Hope it helps!
Answer:
D is the right answer ✔
Explanation:
Simplify the ratio
6 doctors to 27 patients
Answer:
2 doctors to 9 patients
Step-by-step explanation:
Divide each by 3. They cant be simplified more.
If I can buy 4 calculators for $190, how much does one cost?
I would really appreciate if someone answered.
Answer:
47.50 per calculator
Step-by-step explanation:
Take the total cost and divide by the number of calculators to get the cost of one calculator
190/4 =47.50
Find the slope of the line tangent to the function y=6-3x at the point (5,0)
Answer:
-3
Step-by-step explanation:
To get the slope of the line tangent to the function y = 6 - 3x
First, we need to differentiate;
dy/dx = 0 -3x^{1-1}
dy/dx = 0 - 3x^0
dy/dx = 0 - 3
dy/dx = -3
Hence the slope of the line tangent to the function at the point is -3