Answer:
r =√[3V/(π h)]
Step-by-step explanation:
V = ⅓ × π r²h
=> multiplied by 3
3V = π r² h
=> find r²
r² = 3V/(π h)
=> find r
r =√[3V/(π h)]
Answer:
[tex]r=\sqrt{\dfrac{3V}{\pi h}}[/tex]
Step-by-step explanation:
Given equation:
[tex]V=\dfrac{1}{3} \times \pi r^2 h[/tex]
To isolate [tex]r[/tex], multiply both sides by 3:
[tex]\implies V \times 3=\dfrac{1}{3} \times \pi r^2 h \times 3[/tex]
[tex]\implies 3V= \pi r^2 h[/tex]
Divide both sides by [tex]\pi h[/tex]:
[tex]\implies \dfrac{3V}{\pi h}= \dfrac{\pi r^2 h}{\pi h}[/tex]
[tex]\implies \dfrac{3V}{\pi h}=r^2[/tex]
Square root both sides:
[tex]\implies \sqrt{r^2}=\sqrt{\dfrac{3V}{\pi h}}[/tex]
As the radius is positive only:
[tex]\textsf{Apply radical rule} \quad \sqrt{a^2}=a, \quad a \geq 0[/tex]
[tex]\implies r=\sqrt{\dfrac{3V}{\pi h}}[/tex]
please help me Iam giving test. and find H.C.F.
Step-by-step explanation:
if m=3(n-4)+2(4n-5)=5(n+2)+16
Find the unit of 5 runs/ 12 innings
5 runs/ 12 innings= ?
Answer:
0.41
Step-by-step explanation:
Unit = 5/12
Unit = 0.41 runs per inn innings
Determine the value of each of the following expressions. a.
2.2
×
1.3
2.2×1.3 b. 39.5 + 8.74, c. 33.4 − 2.11, d.
470.4
÷
5.6
470.4÷5.6
a=2.86
b=48.24
c=31.29
d=84
10/3 is equal to 3 1/3
m∠K=(5x+13)°. Find the measure of the complement of ∠K.
A. (167 + 5x)°
B. (77 + 5x)°
C. (77 − 5x)°
D. (167 − 5x)°
Answer:
Option C
Step-by-step explanation:
Sum of two angle in complement = 90
Let the other angle be a
a + 5x + 13 = 90
a = 90 - (5x + 13)
a = 90 - 5x - 13
a = 77 - 5x
The measure of the compliment of ∠K is ∠ J = (77 − 5x)°.
We have a angle - ∠K = (5x+13)°.
We have to find the Complement of ∠K.
What are Complementary angles ?When the sum of two angles is equal to 90 degrees, they are called complementary angles.
∠X + ∠Y = 90
According to the question, we have -
The measure of angle ∠ K = (5x+13)°.
Assume that the complement of ∠K is ∠ J.
Then -
∠ K + ∠ J = 90
∠ J = 90 - ∠ K
∠ J = 90 - (5x + 13)
∠ J = 90 - 5x - 13
∠ J = 77 - 5x
∠ J = (77 − 5x)°
Hence, the measure of the compliment of ∠K is ∠ J = (77 − 5x)°
To solve more questions on Complement and Supplement of angles, visit the link below -
https://brainly.com/question/28353442
#SPJ6
Solve for x.
9x - 1 = -11
x = 1 1/9
x = -1 3/9
x = 1 3/9
x = -1 1/9
Step-by-step explanation:
x= - 1 i think
it will help you
Answer:
D. [tex] x = - 1 \frac{1}{9} [/tex] (last option)
Step-by-step explanation:
[tex]9x - 1 = - 11[/tex]
[tex]9x = - 11 + 1[/tex]
[tex]9x = - 10[/tex]
[tex] x = - \frac{10}{9} [/tex]
[tex] = x = - 1 \frac{1}{9} [/tex]
Astronomers were trying to find the weight of six planets - Mars, Venus, Pluto, Jupiter, Mercury and Saturn. The number of planets lighter than Mars was equal to the number of planets heavier than Venus. Saturn was heavier than Mars and Mercury was heavier than Pluto. Venus was lighter than Mars. Saturn was not the heaviest planet.
Answer:
Step-by-step explanation:
Astronomers were trying to find the weight of six planets - Mars, Venus, Pluto, Jupiter, Mercury and Saturn. The number of planets lighter than Mars was equal to the number of planets heavier than Venus. Saturn was heavier than Mars and Mercury was heavier than Pluto. Venus was lighter than Mars. Saturn was not the heaviest planet.
helpppp quick please!! explanation and answers! thanks:)
Answer:
DO NOT CHEAT
Step-by-step explanation:
IT'S HARAM >:(
Let the sequence (an) be defined so that a1=1 and each succeeding term is found by multiplying the one before it by 4. Find the
formula representing the ab and nth term of the sequence.
A)4n-1
B)4n
C)4n+1
D) 42n
Answer:
a(n) = 4⁽ⁿ⁻¹⁾ is the answer :))))) goodluck!
Step-by-step explanation:
a₁ = 1 = 4⁰
a₂ = 4 =4¹
a₃ =4 x 4=4²
a₄ =4 x 4² =4³
a(n) = 4⁽ⁿ⁻¹⁾
Plz find the measure of angle. i’ll give brainliest
Step-by-step explanation:
which angle ? all of them ?
in such a case of intersection the various angles are mirrored or have to fulfill the complementary 180 degree criteria.
when we look either on the top or the bottom of the intersected line, there is always a half circle that can be drawn with its center in the intersection point.
therefore, the sum of such 2 neighboring angles (like 1 and 43 degrees) must be 180 degrees. the same for 2 and 3.
at the same time 2 is a mirrored version of 43 degrees, and 3 is a mirrored version of 1.
so,
1 + 43 = 180
1 = 137 degrees
2 = 43 degrees
3 = 137 degrees
14 ÷ [3(8 - 2) -11] ?
In the following expression, both AAA and BBB are variables that can take positive values. Which of these actions will cause the expression's value to increase?
Answer:
A and C
Step-by-step explanation:
Keeping A constant and increasing B.
increasing A and keeping B constant.
The correct option is (A) and (C)
What is expression?An expression in math is a sentence with a minimum of two numbers/variables and at least one math operation in it.
Expression Definition in MathAn expression is a combination of terms that are combined by using mathematical operations such as subtraction, addition, multiplication, and division. The terms involved in an expression in math are:
Constant: A constant is a fixed numerical value.
Variable: A variable is a symbol that doesn't have a fixed value.
Term: A term can be a single constant, a single variable, or a combination of a variable and a constant combined with multiplication or division.
Coefficient: A coefficient is a number that is multiplied by a variable in an expression.
Given:
A^B(B +2)
As, both are in ratio of multiplication and B is also the power for A.
There is no possible of decreasing the quantity.
Hence, if A is constant then B increasing and B is constant then A is increasing .
Learn more about expression here:
https://brainly.com/question/14083225
#SPJ5
Which product will be rational? Picture of multiple choice above
Answer:
option
1and
2are the correct ones
Answer:
option
1
Step-by-step explanation:
answer is option 1
please help me with this quickly and explain your answer
Answer:
D. x = 10
Step-by-step explanation:
Perimeter = the sum of all sides lengths
Perimeter = 30 (in this case)
so...
[tex]((x-5)+x)2=30[/tex]
Step 1. Dividing 3 to both sides
[tex]((x-5)+x)=15[/tex]
Step 2. Add 5 to both sides
[tex]x+x=20[/tex]
Step 3. Solve for x
Since x + x = 20, to solve for one of the x means solving for the other x
so since 2 x's are being added with the same value, divide 20 by 2.
x = 10
For her car, Joan paid $99.01 on speakers and $98.32 on new tires with
two $100 bills. How much did Joan get in change?
200-(99.01+98.32)
200-197.33
2.67 left in change
Hello :D
2 x $100 = $200
$99.01 + $98.32 = $197.33
$200 - $197.33 = $2.67
The answer is $2.67. I hope this helps :)
Evaluate the expression. Use y = -6.
y? – 4y + 8
Answer:
-6-4(-6)+8
-6+24+8
-6+32
26
Answer:
y=7
Step-by-step explaynation:
3/5x+1/4y=-1/2 in standard form
Please teach me how to do it
Please teach me how to do it
Please teach me how to do it
Answer:
-2
Step-by-step explanation:
(-1/2)³ ÷ (1/4)²
(-1/8) ÷ 1/16
-1/8 × 16/1
-2
Answer:
2
Step-by-step explanation:
| (-½)³ ÷ (¼)² | = | (-1/8) ÷ (1/16)|
= | (-1/8) × (16/1)|
= | -2 |
= 2
Find the measure of side b
Answer:
b ≈ 43 yd
Step-by-step explanation:
Using the tangent ratio in the right triangle
tan28° = [tex]\frac{opposite}{adjacent}[/tex] = [tex]\frac{BC}{AC}[/tex] = [tex]\frac{23}{b}[/tex] ( multiply both sides by b )
b × tan28° = 23 ( divide both sides by tan28° )
b = [tex]\frac{23}{tan28}[/tex] ≈ 43 yd ( to the nearest whole number )
5) Emily woks Monday through Friday at a rate of $16.12 per hour. She takes a 1-hour lunch break. If she
clocks in each day at 6:15 A.M. and leaves at 4:15 P.M., what is her total pay for the week? (show your
work)
Answer:
$
725.40
Step-by-step explanation:
Since, every day she works from 6:15am to 4:15pm
this will put her working to 10 hrs a day and subtracting 1 hr break, the total working period would be 9 hrs a day.
And, total working hours per week would be (9*5) hrs = 45 hrs
thus, her total salary per week would be $(45*16.12) = $725.40
5. Which of the following is a
true statement?
a. 7 < 765 <8
b. 2
c. 10 < 195 < 11
d. 13 < V160 < 14
Answer:
a.7<
b.2
c.<11
d.<14
Step-by-step explanation:
pls guve me braniest plss foloow me
what is the slope of the line that passes through the points (4,4) and (10,7)? write your answer in simplest form
Answer:
[tex]\boxed {\boxed {\sf m= \frac{1}{2}}}[/tex]
Step-by-step explanation:
We are asked to find the slope of a line that passes through 2 points. The slope tells us the steepness and direction of a line. It is calculated using the following formula:
[tex]m= \frac {y_2-y_1}{x_2-x_1}[/tex]
In this formula, (x₁ , y₁) and (x₂, y₂) are the points the line passes through. The points are (4,4) and (10,7). If we match the value and the corresponding variable we see that:
x₁ = 4 y₁= 4 x₂ = 10 y₂= 7Substitute the values into the formula.
[tex]m= \frac{7-4}{10-4}[/tex]
Solve the numerator.
7-4=3[tex]m= \frac{3}{10-4}[/tex]
Solve the denominator.
10-4= 6[tex]m= \frac{3}{6}[/tex]
This fraction can be reduced. Both the numerator and denominator can be divided by 3.
[tex]m= \frac{3/3}{6/3}[/tex]
[tex]m= \frac{1}{2}[/tex]
The slope of the line that passes through (4,4) and (10,7) is 1/2.
What is the name of the angle formed by −→− and −→−, given that the two rays share a common endpoint?
Answer:
Hi, There!
B. ∠ABC
Step-by-step explanation:
points should be given in order, with the vertex of the angle in the middle. B is the only option that has the letters in the right order.
pls help 7-10 it will mean a lot thank you!!
Answer:
-3 because 7 is less than 10.
Given l ||
m
|| n, find the value of x.
(x-1)^
m
n
(8x-10°
PLEASE ASAP
I’m having so much trouble with this
Answer:
x = 9
Step-by-step explanation:
8x - 10 = 7x -1
x = 9
hope that helps
Triangle ABC is a right triangle. What is the length of AC?
Answer:
AC = [tex]\sqrt{58}[/tex]
Step-by-step explanation:
Calculate AC using the distance formula
d = [tex]\sqrt{(x_{2}-x_{1})^2+(y_{2}-y_{1})^2 }[/tex]
with (x₁, y₁ ) = A (0, - 2) and (x₂, y₂ ) = C (3, 5 )
AC = [tex]\sqrt{(3-0)^2+(5-(-2)})^2[/tex]
= [tex]\sqrt{3^2+(5+2)^2}[/tex]
= [tex]\sqrt{9+7^2}[/tex]
= [tex]\sqrt{9+49}[/tex]
= [tex]\sqrt{58}[/tex]
Find the measure of the side of the right triangle whose length is designated by a lowercase letter. (see attachment)
Please explain step-by-step.
Answer:
a≈18 cm
Step-by-step explanation:
we have given:
an angle,
the adjacent side and
we need to find:
the opposite side
we know that the definition of
tan of an angle = opp. side/ adj. side
tan 61° = a/ 10
multiply both sides by 10
10 * tan61° = a
18.04047755 = a
18 ≈ a
a:b=2:3
b:c= 5:6
Show that a:c=5:9
Answer:
see explanation
Step-by-step explanation:
Expressing ratios in fractional form, then
[tex]\frac{a}{c}[/tex] = [tex]\frac{a}{b}[/tex] × [tex]\frac{b}{c}[/tex] = [tex]\frac{2}{3}[/tex] × [tex]\frac{5}{6}[/tex] = [tex]\frac{1}{3}[/tex] × [tex]\frac{5}{3}[/tex] = [tex]\frac{5}{9}[/tex]
That is a : c = 5 : 9
The area of a rectangle is 48 square feet with a length of 8 feet. Solve the equation 8W=48 to find the width of the rectangle.
A. W= 40 feet
B. W= 16 feet
C. W= 8 feet
D. W = 6 feet
Answer:
b=w+8cm because it is longer.
Therefore A= w(w+8)=48
Answer: w(w+8)=48.
Step-by-step explanation:
Please answer this.
The ratio of Tom's age to his nephew's age is 3:1 . The difference in their ages is 24 years.How old is Tom now?
Answer:
36 years
Step-by-step explanation:
Tom's age : Nephew's age = 3 : 1
Tom's age = 3x
His nephew's age = x
Difference of age = 24 years
3x - x = 24
2x = 24
Divide both sides by 2
x = 24/2
x = 12
Tom's age = 3*12 = 36