Ismael uses Cavalieri's principle to show that the cylinder and rectangular prism
have the same volume.
350
The base of the rectangular prism is 3.5 feet long. How wide is the base of the
prism?
Answers
Answer:
I think 48
Step-by-step explanation:
by adding
Related Questions
Find the equation of a parabola with focus F(-3, 9) and directrix x = -13.
Answers
Answer:
y² = 38x + 79
Step-by-step explanation:
Since directrix is the line x = -13, then it means x + 13 = 0
Focus is F(-3, 9).
Let A(x, y) be any point inside the plane having the focus and directrix.
Let MA be the perpendicular distance from A to the directrix and it means that A lies on parabola provided FA = MA.
Thus;
√[(x - (-3))² + (y - 9)²] = (x + 13)
Squaring both sides gives;
(x + 3)² + (y - 9)² = (x + 13)²
>> (x² + 6x + 9) + (y² - 18x + 81) = x² + 26x + 169
>> 6x + 9 + y² - 18x + 81 = 26x + 169
>> y² = 26x + 12x + 169 - 90
>> y² = 38x + 79
please help me, I’ve been on this for 30 mins + I’m an idiot
Answers
I think it's 3/7?
hope this helps
Question 7 of 12 Solve: 3x- 8 = 6(1 - 2x) + 16 O A. x = 2 O B. x = 5 O C. x= -2 O D. There are infinitely many solutions.
Answers
Answer:
A. x =2
Step-by-step explanation: Rearrange terms 3x - 8 = 6 ( 1 - 2x ) + 16 ---> 3x - 8 = 6 ( -2x + 1 ) +16
Distribute
Add the numbers
Add 8 to both sides of the equation
Simplify
Add 12x to both sides of the equation
Simplify
Divide both sides of the equation by the same term
Simplify -------> x=2
Please help me with maths
Answers
Answer:
Each pentagon angle is 108 no matter what.
so 108*3=324
360-324=36
Answer=36
BRAINLIEST TO CORRECT
Answers
9514 1404 393
Answer:
60
Step-by-step explanation:
Let x represent the number of members last summer. Then 90% more is 1.9x. We are told this is 114, so we have ...
1.9x = 114
x = 114/1.9 = 60
There were 60 members last summer.
please help, this is very urgent!!! no links please, and also if ur answer is correct I'll give brainliest!!!!
Answers
Answer:
I) 616
II) 4.53
Step-by-step explanation:
For the first one, just plug in 7 as R.
A = 4 x (22/7) x 7^2
A = 12.57142857 x 49
A = 616
For the second, one, put 452 4/7 as A.
452 4/7 also is 258.285
258.285 = 4 x (22/7) x r^2
258.285 = 12.57142857 x r^2
Divide both sides by 12.57142857
20.55372408 = r^2
Square root 20.55372408 for R.
4.533621519 = R
OR
4.53 = R
Which value from the set { 1/2 , 2/3 , 4/3 , 5/2 } is a value of x that will make the equation 3/4 ÷ x = 9/8 true?
Answers
Answer:
2/3
Step-by-step explanation:
To find out what x is in this case, divide 3/4 by 9/8.
3/4 / 9/8
Dividing by a fraction is the same as multiplying it's inverse.
3/4 * 8/9
Cross cancellation (3 & 9 (GCF: 3); 4 & 8 (GCF: 4)
1/1 * 2/3
We can remove the 1/1.
2/3
2/3 is the value of x that will make 3/4 ÷ x = 9/8 true.
There is a direct path from Gail's house to the store. Do to construction, the direct route is closed and Gail must travel 6 miles east and an 8 miles north in order to get to the store. How long is the direct path from Gail's house to the store?
A)10 miles
B)12 miles
C)14 miles
Answers
Answer:
10 miles
Step-by-step explanation:
6 squared plus 8 squared = 100
the square root of 100 is 10 which is the hypotenuse of the route due to construction
2x[tex]2x^{2}-3x-5[/tex]
Answers
Answer:
2x²-3x-5
=2x²-3x-5
=2x²-5x+2x-5
=2x(x-5)+2(x-5)
=(x-5)(2x+2)
Answer:
(x + 1)(2x - 5)
Step-by-step explanation:
Assuming you require the expression factorised.
2x² - 3x - 5
Consider the factors of the product of the x² term and the constant term which sum to give the coefficient of the x- term.
product = 2 × - 5 = - 10 and sum = - 3
The factors are + 2 and - 5
Use these factors to split the x- term
2x² + 2x - 5x - 5 ( factor the first/second and third/fourth terms )
= 2x(x + 1) - 5(x + 1) ← factor out (x + 1) from each term
= (x + 1)(2x - 5) ← in factored form
a hot air balloon travels 18 miles in 3 hours. At this rate how many miles will the hot air balloon travel in 3/4 hour
Answers
Answer:
4 miles
Step-by-step explanation:
Answer:
4.5 miles
Step-by-step explanation:
18 miles 3 hours = 6 miles/hour
6 x (3/4) = 4.5 miles
Refer to the diagram below. What is the scale factor used to create the new shape.
Answers
Answer:
The correct answer is A: 4/5
Step-by-step explanation:
We would divide 24/30 and get 4/5
Activity 2: Identify Me
Direction: Determine whether each pair of triangles is congruent by SSS, SAS, ASAor AAS. If it is not possible to prove that they are congruent, wnte NOT POSSIBLE
Answers
Step-by-step explanation:
SSS axiomSAS axiomASA axiomASA axiomSAS axiomSSS axiomThe perimeter of the triangle is 29 cm.
a. Write an equation and solve for x.
b. Use the value of x to find the lengths of the sides of the triangle.
c. What kind of triangle is this: scalene, isosceles, or equilateral? Explain how you know using the calculated side lengths, not the picture
2x+2
3x - 1
x + 4
Answers
Answer:
Step-by-step explanation:
Equation
2x + 2 + 3x - 1 + x +4 = 29 Collect like terms on the left
6x + 5 = 29 Subtract 5 from both sides
6x = 29 - 5
6x = 24 Divide by 6
x = 24/6
x = 4
Length of the Sides.
2x + 2 = 2*4+2 = 10
3x - 1 = 3*4 - 1 = 12 - 1 = 11
x + 4 = 4 + 4 = 8
Type of Triangle
Scalene.
Hey everyone, I need a lot of help with this! Please let me know when you can. Thanks!
Answers
I hope you do well on your answer
simplify 7.2×10 to the power-3 - 9.5×10 to the power -5 plz step by step
Answers
Answer:
0.007105=1421/200000
Step-by-step explanation:
Find the area of the larger sector.
Round to the nearest tenth.
Answers
Answer:
399.6 square miles
Step-by-step explanation:
The Area of a sector =
x/360° × πr²
r = 13.4 miles
x = 255°
Hence,
255°/360° × π × 13.4²
= 399.5739336 square miles
Approximately = 399.6 square miles
Answer:
399.6
Step-by-step explanation:
Find the radius of the circle. Please show work, thank you
Answers
Answer:
4.8
Step-by-step explanation:
The FAFSA4caster cannot help students:
O A. decide which colleges to apply to.
O B. plan for upcoming expenses.
O C. learn about how to pay for college.
O D. perform better on standardized tests.
Answers
Answer:
is D perform better on standardized test
Step-by-step explanation:
IT IS CORRECT TRUST! you welcome
How did the 5 turn into a 6
Answers
Answer:
because 5 and 1 pared up and became a 6 :)
Answer:
Because 5+1 equals 6?
Step-by-step explanation:
Subtract
(5x^2-8x+7)-(2x^3+3x+1)
Answers
5x^2-11x-2x^3+6
Simplify the expression
answer: = -2x^2+6x+4
During the 2 9-weeks reporting, a student's grade increased from 80 to 96. By what percentage did the grade increase?
32%
20%
16%
12%
Answers
All ratios equivalent to -40/5
Answers
Answer:
Equivalent ratios calculator that shows work to find the equivalent ratios for the given ratio with two or more numbers.
Step-by-step explanation:
What is the factored form of the polynomial 3x-3y
Answers
Answer:
Step-by-step explanation:
3x - 3y = 3(x-y)
Write an equation in slope-intercept form of the line shown. (8, 4) (4, 1)
Answers
Step-by-step explanation:
m= 1-4/4-8 = -3/-4 = 3/4
y-1 = 3/4(x - 4)
y-1 = 3/4x -3
y = 3/4x -2
The amount of time Mary spends on the phone each month can be thought of as a random variable that is approximately normally distributed. Mary spends an average of 40 hours on her phone with a standard deviation of 4 hours. Find the probability that Mary spends between 30 and 40 hours on the phone.
Answers
Answer:
0.4938
Step-by-step explanation:
Given that:
Mean, m = 40
Standard deviation, s = 4
Probability of spending between 30and 40 hours on phone :
Zscore = (x - mean) / standard deviation
P(Z = 40) - P(Z= 30)
((40 - 40) / 4) - ((30-40) / 4)
(0/ 4) - (-10/ 4)
P(Z < 0) - P(Z <-2.5)
P(Z^ 0).=0.5 ; P(Z < - 2.5) = 0.0062097
0.5 - 0.0062097
P = 0.4938
1. Find the surface area of a geometric box, whose length, breadth and height are respectively
18 cm, 8 cm and 1.8 cm.
Answers
Answer:
259.2
Step-by-step explanation:
multiply 18 x 8 x 1.8 to get 259.2cm
Write a rule for g. Describe the graph of g as a transformation of the graph of f.
f(x) = x^4 - 3x^2 - 2x, g(x) = - f(x)
Answers
Answer:
Step-by-step explanation:
[tex]\sqrt(12-8x)=x-3[/tex]
Answers
Answer:
x = -3 and x = 1
Step-by-step explanation:
first, square each side
12 - 8x = x² - 6x + 9
x² + 2x - 3 = 0
(x - 1)(x + 3) = 0
x = -3
x = 1
The first term of a geometric sequence is 4, and the common ratio is 5. What is the 5th term of the sequence?
a.2,500
b.12,500
c.1,024
d.500
Answers
Answer:
A) 2,500
Step-by-step explanation:
Soo.....
A1 = 4
A2 = 4*5 = 20
A3 = 20*5 = 100
A4 = 100*5 = 500
A5 = 500*5 = 2,500
Solve for x. Round to the nearest tenth.
Answers
good luckkkk
Answer:
x=10.4
Step-by-step explanation:
tan(60°)=18/x
tan(60°)x=18
x=18/tan(60°)
x=10.4