Answer:
Step-by-step explanation:
I am going off of the fact that the radius is 10; you didn't specify what the 10 was, exactly, and that's extremely important!
The volume of a sphere is
[tex]V=\frac{4}{3}\pi r^3[/tex] Filling in what we were given from the problem,
[tex]V=\frac{4}{3}\pi(10)^3[/tex] so
V = 1333.33π inches cubed
If the diameter is 10 and the radius is 5:
[tex]V=\frac{4}{3}\pi(5)^3[/tex] and the volume then is
V = 166.67π inches cubed
If the ray ML makes an angle measuring 2 radians with the ray MN, and the length of the arc intercepted by the angle is 72 inches, what is the radius of the window?
Answer:
36 inches
Step-by-step explanation:
From the diagram attached,
Applying
s = 2πr∅/360
Where s = lenght of the arc, r = radius of the window, ∅ = angle formed in degree, π = pie.
make r the subject of the equation
r = 360s/2π∅................... Equation 2
From the question,
Given: s = 72 inches, ∅ = 2 radians = 114.6°
Constant: 3.14
Substitute these values into equation 2
r = (360×72)/(114.6×3.14×2)
r = 25920/719.688
r = 36 inches
If $36.25 in tax is added to the price of an item, what was the original price in dollars of the item?
$400
$500
$483.33
$600
8
Which of the following is a composite number between 80 and 100?
OA. 81
OB. 89
OC. 83
OD. 97
Answer:
OA. 81
Step-by-step explanation:
A composite number is a positive integer that can be formed by multiplying two smaller positive integers.
81 = 9 x 9
81 = 3 x 27
f(x)=x². What is g(x)?
A. g(x) = 2x²
B. g(x) = (½x)²
C. g(x) = (4x)²
D. g(x) = (2x)²
Answer:
g(x) = (2x)²
Step-by-step explanation:
JK is J(-3 9) and K(5 -1), if LM is perpendicular to JK, what is the slope of LM?
Answer: 4/5
Step-by-step explanation:
Recursive formula for
-4,3,10,17
Answer:
Recursive:
Step-by-step explanation:
Common difference ( d ): 17 - 10 = 7
Recursive Arithmetic:
[tex]a_n = a_{n-1} + d[/tex]
[tex]a_n = a_{n-1} + 7[/tex]
[tex]a_1 = -4[/tex]
Hopefully this helped!
5x+3y=25 and 3x+4y=26 solve by substitution!
[tex]5x + 3y = 25 \\ 5x = 25 - 3y \\ x = \frac{25 - 3y}{5} \\ x = \frac{25}{5} - \frac{3y}{5} \\ x = 5 - \frac{3y}{5} \\ 3x + 4y = 26 \\ 3 (5 - \frac{3y}{5} ) + 4y = 26 \\ 15 + \frac{11y}{5} = 26 \\ \frac{11y}{5} = 26 - 15 \\ \frac{11y}{5} = 11 \\ \frac{5}{11} \times \frac{11y}{5} = 11 \times \frac{5}{11} \\ y = 5 \\ x = 5 - \frac{3y}{5} \\ x = 5 - \frac{3(5)}{5} \\ x = 2[/tex]
(x,y)—> (2,5)
The diagram shows a campground in the shape of a right triangle. You walk along a path from the camp office
at point c to your campsite at point D on a path that bisects the right angle C. Determine how far you are from
the picnic area at Point A to the nearest tenth of a meter.
1. All of the following are true except B. A. A random variable represents a numerical value assigned to an outcome of a probability experiment. In most applications, discrete random variables represent counted data. C. In most applications, continuous random variables represent measured data. D. The expected value of a discrete random variable is equal to the standard deviation of the random variable.
Answer:
The true statements are :
A. A random variable is a numerical description of the outcome of a statistical experiment.
B. In most applications, discrete random variables represent counted data.
C. In most applications, continuous random variables represent measured data.
Step-by-step explanation:
It is true statement that,
A. A random variable is a numerical description of the outcome of a statistical experiment.
B. In most applications, discrete random variables represent counted data.
C. In most applications, continuous random variables represent measured data.
The false statement is -
D. The expected value of a discrete random variable is equal to the standard deviation of the random variable.
Reason -
The mean value, or expected value, of a discrete random variable X is given by the following equation:
μ = E(x) = ∑ x p(x)
And
The variance of a discrete random variable is given by the following formula:
σ²=∑ (x−μ)² P(x)
And
The square root of the variance, or, in other words, the square root of σ², is the standard deviation of a discrete random variable :
σ = √σ²
One leg of a right triangle is 24. What is the length of the other leg if the hypotenuse is 25?
Answer:
Hello! answer: 7
Step-by-step explanation:
24 × 24 = 576
7 × 7 = 49
576 + 49 = 625
√625 = 25
therefore the missing leg is 7
Classify the triangle by its angle measures.
Answer:
d) Acute
Step-by-step explanation:
if all three angle measures are less than 90 degrees, the triangle is acute
Help me with this please
Answer:
F'
Your answer is correct
Step-by-step explanation:
The image most of the time we will put ' prime on it to let the other know that this is the image
SOMEONE PLEASE HELP ME! I promise i will mark brainlest, but i need the right answer for this. help is much appreciated <3
Answer:
I say A or B but in favor A
Step-by-step explanation:
What are the solutions to the quadratic equation
6x2 + 24X = 0?
Answer:
[tex]x = 0 \: \text{or} \: x = - 4.[/tex]
Step-by-step explanation:
[tex]6 {x}^{2} + 24x = 0 \\ \text{then} \: 6x(x + 4) = 0 \\ \text{hence} \: x = 0 \: \text{or} \: x + 4 = 0 \\\text{therefore} \: x = 0 \: \text{or} \: x = - 4.[/tex]
permudahkan. 1. 3/4m (4m+16n) +m/n.
3/4m(4m+16n) + m/n open the bracket of equation,
3/4m(4m+16n) + m/n = 3+ 12n/m + m/n
now multiply and devide by mn on RHS,
3/4m(4m+16n) + m/n = (3mn+12n²+m²)/mn
G
100%
Calculate the area of the parallelogram, in mề.
40 m
15 m
25 m
10 m
30 m
A. 250 m2
B. 450 m2
OC. 600 m²
OD. 900 m²
O E. 1000 m
Answer:
C. 600 m²
Step-by-step explanation:
A parallelogram is a quadrilateral (has four sides and four angles) with two pairs of parallel sides. Opposite sides and angles of a parallelogram are equal to each other. Also, the diagonals are equal.
The area of a parallelogram is the product of its base and its height. It is given by the formula:
Area = base * height
We can see that for this parallelogram, the height = 15 m, the base = 40 m, hence:
Area = base * height = 40 m * 15 m = 600 m²
Look at the picture
Its d because 16/12=1.33 same with 20/15 and 40/30 so its 24x1.33 which is 32 there for d is correct
is each pair of lines parallel perpendicular or neither
Answer:
perpendicular, parallel, neither, parallel
what is the missing side-
Answer:
did u try looking it up lol?
Step-by-step explanation:
PLS HELP ILL MARK AS BRAINLIST AND FOLLOW U
Answer:
[tex]31\:\text{square units}[/tex]
Step-by-step explanation:
We can break the composite figure into two triangles and two trapezoids. The area of a triangle is given by [tex]A=\frac{1}{2}bh[/tex] and the area of a trapezoid is given by [tex]A=\frac{b_1+b_2}{2}\cdot h[/tex] (average of the bases multiplied by the height).
Area of first triangle (larger triangle to the figure's left): [tex]\frac{1}{2}\cdot 4\cdot 4=8[/tex]
Area of second triangle (smaller triangle to the figure's right ): [tex]\frac{1}{2}\cdot 2\cdot 5=5[/tex]
Area of first trapezoid (smaller trapezoid directly underneath second triangle and adjacent to both triangles): [tex]4\cdot 2 =8[/tex]
Area of first triangle (larger triangle to the figure's left): [tex]5\cdot 2=10[/tex]
Thus, the area of the entire figure is:
[tex]8+5+8+10=\boxed{31\:\mathrm{units^2}}[/tex]
Find the center and radius of a circle with the equation x² + y2 +6x–8y +16= 0.
a. (-3, 4);r=3
b. (3,-4);r=3
c. (-3, 4);r=9
d. (3,-4);r=9
Overnight the temperature in Chicago was -7F but by noon it had risen to 9 degrees F. What was the temperature in Chicago that afternoon?
Answer:
2 °F
Step-by-step explanation:
Overnight temperature = -7 °F
Total Noon temperature = 9 °F
What was the temperature in Chicago that afternoon?
Temperature in Chicago that afternoon = Total Noon temperature + Overnight temperature
= 9 °F + (-7 °F)
= 9 °F - 7 °F
= 2 °F
Temperature in Chicago that afternoon = 2 °F
help please i need it
Answer:
Around 140
Step-by-step explanation:
It's over 90 degree angle
Jina has scored 79, 85, 89 and 68 on her previous four tests. What score does she need on her next test so that her mean is 80?
Answer:
79
Step-by-step explanation:
79, 85, 89, 68 have a mean of 80.25 according to calculator.net. the number itself Is close to the number you want, in this case 80, i input 80, but it gave me a score of 80.2, so i tried again with 81, it gave me a score of 80.4, so the third attempt was successful with 79 being the input and 80 the output
calculator.net is approved on my school computer so there is a chance it is on yours as well.
What is the solution to the system of equations below?
2 x + y = 7 3 x + 2 y = 16
Answer:
2x+y=7; 3x+2y=16
X = -2
Y = 11
What number should be added to −5/11to get 26/33?
In this diagram, radius AD = 5 mm, radius BD = 12 mm and chord
CD = 8 mm. Find the exact length of AB, in surd form.
Answer:
The exact length of AB is [tex]3 + 4\sqrt{10}[/tex] milimeters.
Step-by-step explanation:
Both triangles ACD and BCD are isosceles and triangles AEC, ADE, BDE and BCE are right-angled, where E is the point where line segments AB and CD meet each other. We can determine the exact length of AB by means of two horizontal right triangles (i.e. AEC, BCE) and the Pythagorean Theorem:
[tex]AB = \sqrt{AC^{2}-CE^{2}}+\sqrt{CB^{2}-CE^{2}}[/tex]
If we know that [tex]AD = AC[/tex], [tex]BC = BD[/tex], [tex]AC = 5\,mm[/tex], [tex]BC = 12\,mm[/tex] and [tex]CE = 4\,mm[/tex], then the exact length of AB is:
[tex]AB = \sqrt{(5\,mm)^{2}-(4\,mm)^{2}}+\sqrt{(12\,mm)^{2}-(4\,mm)^{2}}[/tex]
[tex]AB = 3 + 4\sqrt{10}\,[mm][/tex]
30 POINTS I WILL GIVE U BRAINLIEST AND THANKS AND 5 STARS please help this is very important this is a big part of my grade
Answer:
[tex]1.\:2^x=64, x=\boxed{6},\\2.\:x=\left(\frac{2}{3}\right)^3,x=\boxed{\frac{8}{125}}\\3.\:3\cdot (3^4)=3^x, x=\boxed{5}\\4.\:\frac{16}{25}=x^2,x=\boxed{\frac{4}{5}},[/tex]
Step-by-step explanation:
[tex]1.\\\\2^x=64,\\\log 2^x=\log64,\\x\log 2=\log 64,\\x=\frac{\log 64}{\log 2}=\boxed{6}[/tex]
[tex]2.\\x=\left(\frac{2}{5}\right)^3=\frac{2^3}{5^3}=\boxed{\frac{8}{125}}[/tex]
3. This problem incorporates an exponent property.
Exponent property used: [tex]a^b\cdot a^c=a^{(b+c)}[/tex], yielding an answer of [tex]\boxed{5}[/tex]
[tex]4.\\\\\frac{16}{25}=x^2,\\x=\sqrt{\frac{16}{25}}=\frac{\sqrt{16}}{\sqrt{25}}=\boxed{\frac{4}{5}}[/tex]
Answer:
1. 6
2. 8/25
3. 5
4. 4/5
Step-by-step explanation:
What is the y-intercept of the line shown?
69
5-
4
3-
2-
1-
0
-4
-3
- 2
0
1
2
3
4
5
3
4
What is the answer?
It says i should put it in the order and which one comes first
Answer:
B. -11
Step-by-step explanation:
ascending order means least to greatest.
-10, -9, -8, -7, -6, -5, -4, -3, -2, -1, 0, 1, 2, 3, 4, 5, 6, 7,...
3, -1, [tex]\sqrt{5}[/tex], 13, -11
-11 is the least number because it is the greatest negative number