Answer:
c. 29.3 cubic mi.
Step-by-step explanation:
Volume of cone: [tex]\pi[/tex] × r² × [tex]\frac{h}{3}[/tex]
Volume of cone = [tex]\pi[/tex] × 2² × [tex]\frac{7}{3}[/tex]
= 9[tex]\frac{1}{3}[/tex][tex]\pi[/tex]
= 29.3 cubic mi. (rounded to 3 s.f.)
In ARST, r = 1.7 inches, s = 7.3 inches and ZT=15°. Find the length of t, to the nearest
10th of an inch.
Answer:
The answer is "5.7"
Step-by-step explanation:
Using the cosine rule.
[tex]\cos T = \frac{r^2+s^2-t^2}{2rs} \\\\t^2= r^2+s^2-2rs \cos T ........(i)\\\\r=1.7\\s=7.3\\T=15\\\\t^2= (1.7)^2+(7.3)^2-2(1.7)(7.3) \cos 15^{\circ} \\\\[/tex]
[tex]=2.89+53.29-24.82(0.9659)\\\\=32.2064[/tex]
[tex]t= 5.6751 =5.7[/tex]
PLEASE HELP
Based only on the information given in the diagram, which congruence
theorems or postulates could be given as reasons why AHIJE AKLM?
Check all that apply.
А. НА
B. ASA
C. AAS
D. LL
E. HL
F. LA
Answer:
Option A and Option C
Step-by-step explanation:
Given:
IJ ≅ LM
∠J ≅ ∠M
To Prove:
ΔHIJ ≅ ΔKLM
Statements Reasons
1). IJ ≅ LM 1). Given
2). ∠J = m∠M 2). Given
3). ΔHIJ ≅ ΔKLM 3). By HA property Or AAS property of
congruence
Therefore, Option A and Option C are the correct options.
Need help!!!!!! Giving 11 points
have absolutley no idea.. i might want to learn this to lol
The ratio of boys to girls in Coach Sheppard's class is 3 to 5. There are 20 girls in the
class.
What is the total number of students in Coach Sheppard's class?
Answer:
32 Students
Step-by-step explanation:
3/5 = 12/20
This means you add the boys and girls to get 32.
A piece of paper is to display ~128~ 128 space, 128, space square inches of text. If there are to be one-inch margins on both sides and two-inch margins at the bottom and top, what are the dimensions of the smallest piece of paper (by area) that can be used? Choose 1 answer:
Answer:
The dimensions of the smallest piece that can be used are: 10 by 20 and the area is 200 square inches
Step-by-step explanation:
We have that:
[tex]Area = 128[/tex]
Let the dimension of the paper be x and y;
Such that:
[tex]Length = x[/tex]
[tex]Width = y[/tex]
So:
[tex]Area = x * y[/tex]
Substitute 128 for Area
[tex]128 = x * y[/tex]
Make x the subject
[tex]x = \frac{128}{y}[/tex]
When 1 inch margin is at top and bottom
The length becomes:
[tex]Length = x + 1 + 1[/tex]
[tex]Length = x + 2[/tex]
When 2 inch margin is at both sides
The width becomes:
[tex]Width = y + 2 + 2[/tex]
[tex]Width = y + 4[/tex]
The New Area (A) is then calculated as:
[tex]A = (x + 2) * (y + 4)[/tex]
Substitute [tex]\frac{128}{y}[/tex] for x
[tex]A = (\frac{128}{y} + 2) * (y + 4)[/tex]
Open Brackets
[tex]A = 128 + \frac{512}{y} + 2y + 8[/tex]
Collect Like Terms
[tex]A = \frac{512}{y} + 2y + 8+128[/tex]
[tex]A = \frac{512}{y} + 2y + 136[/tex]
[tex]A= 512y^{-1} + 2y + 136[/tex]
To calculate the smallest possible value of y, we have to apply calculus.
Different A with respect to y
[tex]A' = -512y^{-2} + 2[/tex]
Set
[tex]A' = 0[/tex]
This gives:
[tex]0 = -512y^{-2} + 2[/tex]
Collect Like Terms
[tex]512y^{-2} = 2[/tex]
Multiply through by [tex]y^2[/tex]
[tex]y^2 * 512y^{-2} = 2 * y^2[/tex]
[tex]512 = 2y^2[/tex]
Divide through by 2
[tex]256=y^2[/tex]
Take square roots of both sides
[tex]\sqrt{256=y^2[/tex]
[tex]16=y[/tex]
[tex]y = 16[/tex]
Recall that:
[tex]x = \frac{128}{y}[/tex]
[tex]x = \frac{128}{16}[/tex]
[tex]x = 8[/tex]
Recall that the new dimensions are:
[tex]Length = x + 2[/tex]
[tex]Width = y + 4[/tex]
So:
[tex]Length = 8 + 2[/tex]
[tex]Length = 10[/tex]
[tex]Width = 16 + 4[/tex]
[tex]Width = 20[/tex]
To double-check;
Differentiate A'
[tex]A' = -512y^{-2} + 2[/tex]
[tex]A" = -2 * -512y^{-3}[/tex]
[tex]A" = 1024y^{-3}[/tex]
[tex]A" = \frac{1024}{y^3}[/tex]
The above value is:
[tex]A" = \frac{1024}{y^3} > 0[/tex]
This means that the calculated values are at minimum.
Hence, the dimensions of the smallest piece that can be used are: 10 by 20 and the area is 200 square inches
List the ordered pairs shown in the mapping below.
Answer:
I think it is none of the above are correct
Step-by-step explanation:
The pairs are
(2, -1)
(4, 2)
(1,3)
(-3, 3)
(-1,-4)
Those are the dots that I can see
what is the answer to this I don't understand
Answer: traversal
Step-by-step explanation: a traversal is a line that intersects 2 lines
Answer:
then wanswer is 5
Step-by-step explanation:
I’ll mark you brainlist I’ll mark you brainlist I’ll mark you brainlist
Answer:
139°
Step-by-step explanation:
According to the question
The equation is
4r+17+4r+115=180
8r+132=180
8r=48
r=6
So BYF =
4.6+115
24+115
139°
Answer:
139
Step-by-step explanation:
Find the perimeter of the shaded region of this composite figure.
Answer:
perimeter of shaded region:
area of rectangle- area of semicircle
l×b‐(pie r²) diameter of circle‐6m; Radius‐3
8×6‐(3.14×3×3)
42— 28.26=13.74m
HOPE IT WILL HELP YOU
Do these side lengths make a right triangle? 7, 13, and 218√
Answer:
no what you mean by 218√
Step-by-step explanation:
there has to be a 90 degree angle for it to be a right triangle
What is the product of the given radicals.
[tex]\sqrt{50}[/tex] and [tex]\sqrt[5]{6}[/tex]
a.[tex]\sqrt[5]{3000}[/tex]
b.[tex]\sqrt[25]{12}[/tex]
c.[tex]\sqrt[50]{3}[/tex]
d.[tex]\sqrt[25]{3}[/tex]
Answer:
the product of the given radical is [tex]\sqrt[5]{12}[/tex]
Step-by-step explanation:
The computation of the product of the given radicals is as follows
According to the question, the following radical is
[tex]\sqrt{50} \ and \sqrt[5]{6}[/tex]
Now simplify it
[tex]\sqrt{25 \times 2} and \sqrt[5]{6}\\\\\sqrt{25} \sqrt{2} and \sqrt[5]{6}\\\\\sqrt[5]{2} and \sqrt[5]{6}\\\\\sqrt[5]{12}[/tex]
Hence, the product of the given radical is [tex]\sqrt[5]{12}[/tex]
This is the answer but the same is not given in the options
What’s the measure of angle X?
Answer:
x = 84°
Step-by-step explanation:
The exterior angle of a triangle is equal to the sum of the 2 opposite interior angles.
129° is an exterior angle of the triangle, thus
x + 45° = 129° ( subtract 45° from both sides )
x = 84°
The 2 triangles formed by the tree/ shadow and Jordan/ shadow are similar and ratio of corresponding sides are equal, that is
let h be the height of the tree, then
[tex]\frac{h}{7}[/tex] = [tex]\frac{50}{10}[/tex] = 5 ( multiply both sides by 7 )
h = 35
The height of the tree is 35 ft
What is the solution to 4x+6
Answer:
Step-by-step explanation:
10x
Answer:
10x thats the answer very easy
Use multiplication to check your answer in question #3. Show or explain all of your work.
PLZZZZ HELPPP 20 POINTSS
Answer:
black
Step-by-step explanation:
5(x + y)-3(x-y)=
Help please
Answer:
2x and 8y
Step-by-step explanation:
Distribute:
5*x=5x
5*y=5y
-3*x=-3x
-3*-y=3y
Combine:
5x+-3x= 2x
5y+3y= 8y
Hope this helps!!!
Please help me on this question....
Answer:
vvvgghhi
hi
Step-by-step explanation:
ggguuuuuuuuhh
-7 <= x+2/4
solve the inequality
Step-by-step explanation:
do you mean ≤ if so check this solution out
-7≤x+2/4
find the LCM of X+2/4
LCM=4x+2 /4
-7≤4x+2/4
then you cross multiply
-28≤4x+2
collect like terms
-28-2≤4x
-30≤4x
X=-7.5
I hope it helps
Given slope = -5 & y-intercept = (0,0) write the equation
y=-5x
Step-by-step explanation:
3÷x-1+2÷x-3=2/x
solve in quadratic equation
hsjsudiejejfjnfkekek
Plz answer this im going to fail the semester :(
Answer and Explanation
__________________________________________________________
The solution of the equation is 20. ( The value of x. )__________________________________________________________
The value of x is 20.
We can figure this out by...
__________________________________________________________
[tex]\frac{3x}{5}-x=\frac{x}{15}-\frac{28}{3}[/tex] but what does x equal?
[tex]\frac{3\cdot20}{5}-20[/tex] = [tex]-8[/tex]
[tex]\frac{20}{15}-\frac{28}{3}[/tex] = [tex]-8[/tex]
Since both are equal to -8, that means [tex]\frac{3\cdot20}{5}-20[/tex] = [tex]\frac{20}{15}-\frac{28}{3}[/tex].
Which means that...
x = 20
__________________________________________________________
Hope this helps! <3
__________________________________________________________
what is the percent increase from 800,000 to 40,000
A number subtracted from 14 is 2
Answer:
16
Step-by-step explanation:
n-14=2
add 14 on both sides to get 16
In the statement, A number subtracted from 14 is 2 the unknown number
is 12.
What is a numerical expression?A numerical expression is a mathematical statement written in the form of numbers and unknown variables. We can form numerical expressions from statements.
Given, A number subtracted from 14 is 2.
Let the unknown number be 'n'.
∴ 14 - n = 2.
- n = 2 - 14.
- n = - 12.
n = 12.
learn more about numerical expressions here :
https://brainly.com/question/29199574
#SPJ2
If we know the area of this base, we'll know how many cubes can fill the bottom layer. We can find the area of the rectangle
by multiplying the length times the width. Help me out.
The base of the prism is a rectangle with a length of 6 inches and a width of 4 inches.
Find the area of the base.
3 inches
4 inches
(width)
4 inches
6 inches
6 inches
(lenght)
Area = length x width
square inches
Answer:
24
Step-by-step explanation:
Abes apples orchard plants both green apple trees and red apple trees this planting will include 21 red apple trees and 18 green apple trees what is the ratio of green apple trees and red apple trees
Answer:
The ratio of green apples to red apples is .
Step-by-step explanation:
Given,
Number of red apples = 21
Number of green apples = 18
We have to find out the ratio of green apples to red apples.
Solution,
For finding the ratio we have to divide the number of green apples to the number of red apples.
So, we can frame the above sentence as;
Ratio = number of green apples/number of red apples
Now substituting the values, we get;
Ratio= 18/21 = 6/7
Hence The ratio of green apples to red apples is . 6/7
write the equation of the polynomials in factored form that has the following zeros: -8, -4, 5, 5, 2
Elaine is making a flower garden with rows of flowerS The garden is 20 yards long. She wants a total of 7 rows of flowers that are all the same Width. Which calculation should Elaine use to decide how wide to make each row?
Answer:
20/7
Step-by-step explanation:
hope this helps, but basically you divide 20 yards by 7 to get the width of each row
Answer:
8 4 / 7
Step-by-step explanation:
Which expression in scientific notation is equivalent to (6×10^4)(3×10^5)
A 1.8×10^10
B 1.8×10^20
C 9×10^9
D 9×10^20
Answer: A) 1.8*10^10
Step-by-step explanation:
Multiply the constants together, and multiply the multiples of 10 together.
6*3 = 18
10^4 * 10^5 = 10^9
which gives you 18 * 10^9, but that isn't in scientific notation, because 18 isn't a number between 1 and 10
so you get 18 * 10 ^9
which is equal to 1.8*10^10
Hope this helps!
Answer:
A
Step-by-step explanation:
Use Pythagorean Theorem to solve for the
missing side of the triangle. You must draw the triangle
for credit.
Side 1: 4
Side 2:
Hypotenuse: 6
need this, please. real fast
Answer:
9
Step-by-step explanation:
(5x-4)+(6x-5)=90 degrees, because complementary angles add up to 90 degrees. So, 11x-9=90, 11x=99, then x=9.
check your solution to 2(a - 2) = 2a - 4
Answer:
Yeah that solution is right
Answer:
0=0
Step-by-step explanation: