Given height and surface-area-to-volume ratio: r = 2 * h / (h * SA:V - 2) , Given volume and lateral area: r = 2 * V / A_l , Given base area: r = √(A_b / (2 * π)) , Given lateral area and total area: r = √((A - A_l) / (2 * π)) .
4. What is the volume of the pyramid?
7 ft
9 ft
10 ft
Find the distance between points (a,b) and Q -a,-b)
Answer:
d = 2* sqrt(a^2 + b^2)
Step-by-step explanation:
Interesting question. You should begin by noting that 0 is not the answer although it looks like it should be.
P = (a,b)
Q= (-a,-b)
x1 = a
x2 = - a
y1 = b
y2 = - b
d = sqrt( (x2 - x1)^2 + (y2 - y1)^2 )
d = sqrt( (-a - a)^2 + (-b - b)^2 )
d = sqrt ( -2a)^2 + - (2b)^2 )
d = sqrt(4a^2 + 4b^3)
d = 2* sqrt(a^2 + b^2)
what does range mean in maths
Line A has the equation: y = 2x + 5.
Determine the equation of line B when it is parallel to line A and passes through (0 , -4).
Answer:
y=2x-4
Step-by-step explanation:
The slope of the line is 2 and y intercept is - 4. The equation will be y=2x-4
A conical lid’s height is 2 centimeters less than the radius, x, of its base. If the lid is made of 25π cubic centimeters of clay, the equation x3 +? x2 +? = 0 can be used to find that the radius of lid’s base is centimeters.
The required expression that can be used to find the radius of the conical lid's with a height 2 centimeters less than the radius, x, of its base is x³-2x²-75 = 0
The formula for calculating the volume of the conical lid's is expressed as
[tex]V = \frac{1}{3} \pi r^2h[/tex] where:
r is the radius
h is the height
v is the volume
Given the following
r = x
If the conical lid’s height is 2 centimeters less than the radius, x, then;
h = x - 2
V = 25π cm³
Substitute the given values into the formula as shown:
[tex]25 \pi = \frac{1}{3} \pi x^2 (x-2)\\3(25) = x^2(x-2)\\Expand\\75=x^3-2x^2\\Swap\\x^3-2x^2 = 75\\Equate \ to \ zero\\x^3-2x^2 - 75 = 0[/tex]
Hence the required expression that can be used to find the radius of the conical lid's with a height 2 centimeters less than the radius, x, of its base is x³-2x²-75 = 0
please help me with this also if your good at geometry please dm me I need serious help!!
Answer:
0.92
Step-by-step explanation:
cosine = adjacent/ hypotenuse
cosine of t = 12/ 13
cos t= 0.92308
Complete each congruency statement and name the rule used. If you cannot show the triangles are congruent from the given information, leave the triangle's name blank and write CNBD for "Cannot be determined" in place of the rule. b BA ∩ LC = K ∆BLK ≅ ∆ ______ by _______. PLZ ANSWER FAST!!!!!!!!
Answer:
Cannot be determined.
Step-by-step explanation:
The triangle has three different angles which are not congruent. The sides of the two triangle are not equal therefore these triangle are not determined to be congruent. These triangles share their three angles but not the three sides.
please show work it’s for calc
Answer:
24
Step-by-step explanation:
The question is asking for the net area from x=3 to x=10.
It gives you the net area from x=3 to x=5 being -18.
It gives you the net area from x=5 to x=10, being 42.
Together those intervals make up the interval we want to find the net area for.
-18+42=42-18=24
Answer:
[tex]\displaystyle \int\limits^{10}_3 {f(t)} \, dt = 24[/tex]
General Formulas and Concepts:
Calculus
Integration
IntegralsIntegration Property [Splitting Integral]: [tex]\displaystyle \int\limits^c_a {f(x)} \, dx = \int\limits^b_a {f(x)} \, dx + \int\limits^c_b {f(x)} \, dx[/tex]
Step-by-step explanation:
Step 1: Define
Identify
[tex]\displaystyle \int\limits^{5}_3 {f(t)} \, dt = -18[/tex]
[tex]\displaystyle \int\limits^{10}_5 {f(t)} \, dt = 42[/tex]
[tex]\displaystyle \int\limits^{10}_3 {f(t)} \, dt[/tex]
Step 2: Integrate
[Integral] Rewrite [Integration Property - Splitting Integral]: [tex]\displaystyle \int\limits^{10}_3 {f(t)} \, dt = 24 = \int\limits^5_3 {f(t)} \, dt + \int\limits^{10}_5 {f(t)} \, dt[/tex][Integrals] Substitute: [tex]\displaystyle \int\limits^{10}_3 {f(t)} \, dt = 24 = -18 + 42[/tex]Simplify: [tex]\displaystyle \int\limits^{10}_3 {f(t)} \, dt = 24[/tex]Topic: AP Calculus AB/BC (Calculus I/I + II)
Unit: Integration
In how many years will the interest of a sum Rs 3600 at the rate of 5.5% per year be Rs 594.8?
Answer:
in 3.04 years the will give required intrest
PLS HELP ME ON THIS QUESTION I WILL MARK YOU AS BRAINLIEST IF YOU KNOW THE ANSWER PLS GIVE ME A STEP BY STEP EXPLANATION!!
Data should be analyzed using each of the following except:
A. measures of central tendency
B. shape
C. population size
D. spread
Write an expression for the sequence of operations described below.
the product of the quotient of y and 7 and the sum of 4 and 9
Do not simplify any part of the expression.
Answer:
(y/7)x(4+9)
Step-by-step explanation:
statement one y/7
statement two 4+9
(y/7)x(4+7)
) After basketball practice, Courtney spent extra time working on free throws. Overall, she made 3 of her 5 shots. What percent of her total shots did she make?
Solve the equation using the zero-product property.
(2x − 8)(7x + 5) = 0
Answer:
x=4and -5/7
Step-by-step explanation:
i hope it will be easy
[tex]\huge\text{Hey there!}[/tex]
[tex]\large\text{Equation}\downarrow[/tex]
[tex]\large\textsf{(2x - 8)(7x + 5) = 0}[/tex]
[tex]\large\text{Step-by-Step}\downarrow[/tex]
[tex]\large\text{SIMPLIFY EACH SIDES OF THE EQUATION}[/tex]
[tex]\large\textsf{14x}\mathsf{^2} \large\textsf{ - 14x - 40 = 0}[/tex]
[tex]\large\text{FACTOR the LEFT SIDE of the EQUATION}[/tex]
[tex]\large\textsf{2 (7x + 5) (x - 4) = 0}[/tex]
[tex]\large\text{SET the FACTORS to EQUAL 0}[/tex]
[tex]\large\textsf{7x + 5 = 0 OR x - 4 = 0}[/tex]
[tex]\large\text{SIMPLIFY BOTH OF YOUR EQUATIONS \& YOU HAVE YOUR ANSWER}[/tex]
[tex]\boxed{\boxed{\large\textsf{Therefore, your ANSWER is: \bf x = }\mathsf{\bf - \dfrac{5}{7}\large\textsf{ \bf or x = 4}}}} \huge\checkmark[/tex]
[tex]\huge\text{Good luck on your assignment \& enjoy your day!}[/tex]
~[tex]\frak{Amphitrite1040:)}[/tex]
What is the value of x in the diagram below?
X + 2
8.
х
Answer:
15
Step-by-step explanation:
Using the Pythagorean theorem,
[tex]x^2 +8^2=(x+2)^2[/tex]
we can simplify 8 squared to 64, and we can use FOIL to expand x plus 2 squared.
[tex](x+2)(x+2)=x^2+4x+4[/tex]
We have
[tex]x^2+64=x^2+4x+4[/tex]
We can subtract x squared plus four from both sides to get
[tex]60=4x[/tex]
Dividing by 4, we get [tex]x=15[/tex]
Answer:x=15
Step-by-step explanation:
remember the Pythagorean Theraum(sorry about spelling)
a^2 +b^2=c^2
the shortest is a^2 , b^2 is the second shortest, and c^2 is the hypotenuse, or the longest.
currently the hypotenuse (c^2)is x+2, (b^2) is x, and a^2 is 8
8x8=64
64+x^2=(x+2)^2
try solving it now.
64+15^2=(15+2)^2
289=289
So, x=15
Bob has a pyramid with a volume of 14. He'd like to create a second pyramid with a volume of 28. Which would guarantee he gets the desired
result?
O Double each side of the base of the pyramid.
O Double one side of the base of the pyramid.
O Double the slant height.
• Double the height.
Answer:
D
Step-by-step explanation:
Doubling the height will guarantee that the volume gets twice since V=(1/3)*B*h
If Bob wants to create a pyramid of volume 28 then he needs to double the height of the pyramid.
What is a pyramid?Design or construction with a base that is a polygon and sides that are three or more triangles that come together at the top.
A pyramid is a 3D shape where 3 triangle comes and meet in such a way that the base side creates a triangle.
The volume of a pyramid is given by
Volume = (1/3)base²×height.
Let say
Base width is = w
Height is = h
Volume V = w²h/3
Given
14 = w²h/3
For volume to be 28
28 = w²(2h)/3
So it is clear that he needs to double the height.
To learn more about pyramids,
https://brainly.com/question/17615619
#SPJ2
The match starts at 14 55 and ends 1 hour 50 minutes later. Work out the time the match ends
Does this graph represent a function (scatter)
A. Yes
B. No
Answer:
A. Yes
Step-by-step explanation:
it is always yes because no os negative
Answer
a
Step-by-step explanation:
it does represent a function
What is the slope of a line parallel to line B?
Sandra has developed a program designed to increase reading comprehension scores in 6th graders. She randomly selects three students and has them participate in her program. When she compares the mean score from the students who completed her program to three students who did not participate in the program, she finds no significant difference between their mean scores. What is most likely the reason for the non-significant finding
Answer:a small sample size
Step-by-step explanation:
From the information given in the question, we are informed that Sandra developed a program that was designed to increase reading comprehension scores in 6th graders and she then randomly selects three students and has them participate in her program.
After comparing the mean score from the students who completed her program to three students who did not participate in the program, she finds no significant difference between their mean scores, it should be noted that the reason for this will be because the sample size is small.
If a large sample size was used, this could have been different as thsi could result in a significant difference between their mean scores.
Determine the slope for the equation.
I started it but got stuck
7/5 thats the answer lol
CAN SOMENE PLESAE ANSWER B ITS URGERT MARKING BRAINLIEST
Please hurry I will mark you brainliest
What is the value of p so that the line passing through (6, 2) and (9, p) has a slope of -1?
Answer:
-1
Step-by-step explanation:
im pretty sure its right
sry if it not good luck!!
Choose the inequality that represents the following graph.
Answer:
D) x ≥ -2
Step-by-step explanation:
Using the diagram below, which of the following parts of the triangles are
congruent?
7 miles
B
С
16 ft
12 ft
D
21 ft
E
1 mile = 5280 ft
Given:
1. ACAB-ACED
2. AB ||ED
A. ZA ZB
B. ZASZC
y
Answer: Choice D. [tex]\angle A \cong \angle E[/tex]
Explanation: Since AB is parallel to ED, this means the alternate interior angles A and E are congruent as marked below.
Angle A is congruent to angle E by alternate interior angle theorem. Therefore, option D is the correct answer.
What are similar triangles?Two triangles are similar if the angles are the same size or the corresponding sides are in the same ratio. Either of these conditions will prove two triangles are similar.
Given that, triangle CAB is similar to triangle CED and AB is parallel to ED.
From the given figure, AB=7 miles, DC=16 ft, EC=12 ft and DE=21 ft.
Here, in figure,
∠A ≅ ∠E (Alternate interior angles)
∠B ≅ ∠D (Alternate interior angles)
∠ACB ≅ ∠DCE (Vertically opposite angles are congruent)
Therefore, option D is the correct answer.
To learn more about the similar triangles visit:
https://brainly.com/question/25882965.
#SPJ7
You put $5000 in an investment account with interest compounded
continuously. Calculate the approximate annual interest needed for the
account to grow to $10,000 after 20 years.
Answer:
3.465 %
Step-by-step explanation:
10000 = 5000 [tex]e^{20r}[/tex]
2= [tex]e^{20r}[/tex]
ln(2) = 20r ln(e)
r = ln(2)/20
r = 0.03465
could someone please answer this
Answer:
Step-by-step explanation:
draw a parallel line to x at a distance of 23 cutting the quadrilateral in two points.
A right angle is formrd at the bottom.
Hypotenuse=59
one side=45-23=22
x= other side=√(59²-22²)=√(59-22)(59+22)=√((37)(81))=9√(37)≈54.74
Find the length of AD in the figure.
A. √26 units
B. √34 units
C. √122 units
D. √130 units
Answer:
√122
Step-by-step explanation:
To find the distance/length between two points
Use this formula: [tex]\sqrt{(x_1 - x_2)^2 + (y_1 - y_2)^2}[/tex]
[tex]\sqrt{(1 - 2)^2 + (3 + 8)^2}[/tex]
[tex]\sqrt{(-1)^2 + (11)^2}[/tex]
[tex]\sqrt{1 + 121}[/tex]
[tex]\sqrt{122}[/tex]
PLS HELP ME ON THIS QUESTION I WILL MARK YOU AS BRAINLIEST IF YOU KNOW THE ANSWER!!
A ___________________ summarizes all values in a data set and lists how many times they occur.
A. tally chart
B. data value
C. data summary
D. frequency table
Answer:
Step-by-step explanation:
B) data summary its in the words it sums up the answers to all the data you've collected over timew
the actual length of wall c is 4 m . to represent wall c noah draw a segment 16cm long what scale is he using explain your reasoning
Answer:
1/25
Step-by-step explanation:
1 m = 100 cm
4m x 100 = 400 cm
If it is 16 cm long, then the scale factor is 16/400, which simplifies to 1/25.
Sue was paid $384 for working 32 hours. How many hours will she have to work to earn $672?
Answer:
56
Step-by-step explanation:
Answer:
56 hours
Step-by-step explanation:
I divided 384 dollars by 3w hours and then was Sue made 12 an hour. Then I tried mukyiplong different times until I discovered 12×56=672. So, 56 hours
