Answer:
14 unitsStep-by-step explanation:
In the question, it is given that a right cone has a diameter of 12 units and volume of 168π units³ and we have to find the height of the cone.
[tex] \: [/tex]
To Find the height of the cone, we must know this formula :
[tex]\\{\longrightarrow{ \qquad{\underline{\boxed {\pmb{\frak { \dfrac{1}{3} \: \pi r^2h ={ Volume_{(cone) }}}}}}}}} \\ \\[/tex]
Where,
r refers to the radius of the cone. Here, the diameter is 12, Therefore the radius will be 6 units.h refers to the height of the cone.Now, we will substitute the values in the formula :
[tex]\\ {\longrightarrow{ \qquad{{ {\pmb{\sf { \dfrac{1}{3} \times \pi \times (6)^2 \times h = 168 \pi}}}}}}} \\ \\[/tex]
Cancelling π from both sides we get :
[tex]\\ {\longrightarrow{ \qquad{{ {\pmb{\sf { \dfrac{1}{3} \times \cancel\pi \times 36 \times h = 168 \cancel\pi}}}}}}} \\ \\[/tex]
[tex]\\ {\longrightarrow{ \qquad{{ {\pmb{\sf { \dfrac{1}{3} \ \times 36 \times h = 168 }}}}}}} \\ \\[/tex]
[tex]\\ {\longrightarrow{ \qquad{{ {\pmb{\sf { \dfrac{36}{3} \times h = 168 }}}}}}} \\ \\[/tex]
[tex]\\ {\longrightarrow{ \qquad{{ {\pmb{\sf { 12 \times h = 168 }}}}}}} \\ \\[/tex]
[tex]\\ {\longrightarrow{ \qquad{{ {\pmb{\sf { h = \frac{168}{12} }}}}}}} \\ \\[/tex]
[tex]\\{\longrightarrow{ \qquad{\underline{\boxed {\pmb{\frak { h ={14 }}}}}}}} \\ \\[/tex]
Therefore,
The height of the cone is 14 units .A typical MRE contains 1250 calories. If the average soldier eats 3 MREs per day and is deployed for 36 weeks, approximately how many calories will be consumed by a 40 member platoon of soldiers?
Answer:
30240
Step-by-step explanation:
3x7x36x40 I hope this helps
2. Determine the value of x for which r l s if
.
m<1 = 40 - 4x; and
m<2 = 50 - 8x.
A. 1.5
B. 2
C. 30
D. 2.5
Explanation:
If line r and line s are parallel, then the two angles marked must be congruent. Refer to the corresponding angles theorem for more details.
This means we'll set the angles equal to one another and solve for x.
angle1 = angle2
40-4x = 50-8x
-4x+8x = 50-40
4x = 10
x = 10/4
x = 2.5
Need help asapppp plssss helppp meeee thanksss
Answer:
0.0000000673
Step-by-step explanation:
7.4*10^-8=0.000000074
6.7*10^-9=0.0000000067
0.000000074-0.0000000067
=0.0000000673=673*10^-10
Answer:
6.73 × [tex]10^{-8}[/tex]
Step-by-step explanation:
7.4 × [tex]10^{-8}[/tex]
6.7 × [tex]10^{-9}[/tex] = 0.67 × [tex]10^{-8}[/tex]
7.4 × [tex]10^{-8}[/tex] - 0.67 × [tex]10^{-8}[/tex] = ( 7.4 - 0.67 ) × [tex]10^{-8}[/tex] = 6.73 × [tex]10^{-8}[/tex]
Is q = 5 a solution to the inequality below? q ≤ 8
Answer:
brainly please
Step-by-step explanation:
yes because 5 is less than 8
Answer:
No, the correct solution is q < 8 because 5 can not be equal to 8 but rather less than 8 (only)
Im giving 100 Points to anyone who could solve this for me please.
In the segment below, segment DC = 29,
Answer:
AB = 27.2
BC = 33.5
AC = 50.4
∠A = 38°
∠ABC = 112°
Step-by-step explanation:
Trigonometric ratios
[tex]\sf \sin(\theta)=\dfrac{O}{H}\quad\cos(\theta)=\dfrac{A}{H}\quad\tan(\theta)=\dfrac{O}{A}[/tex]
where:
[tex]\theta[/tex] is the angleO is the side opposite the angleA is the side adjacent the angleH is the hypotenuse (the side opposite the right angle)[tex]\implies \sf \cos(30^{\circ})=\dfrac{29}{BC}[/tex]
[tex]\implies \sf BC=\dfrac{29}{\cos(30^{\circ})}[/tex]
[tex]\implies \sf BC=\dfrac{58\sqrt{3}}{3}=33.5\:(nearest\:tenth)[/tex]
[tex]\implies \sf \tan(30^{\circ})=\dfrac{BD}{29}[/tex]
[tex]\implies \sf BD=29\tan(30^{\circ})[/tex]
[tex]\implies \sf BD=\dfrac{29\sqrt{3}}{3}[/tex]
[tex]\implies \sf \sin(38^{\circ})=\dfrac{BD}{AB}[/tex]
[tex]\implies \sf AB=\dfrac{\dfrac{29\sqrt{3}}{3}}{\sin(38^{\circ})}[/tex]
[tex]\implies \sf AB=27.2\:(nearest\:tenth)[/tex]
[tex]\implies \sf \tan(38^{\circ})=\dfrac{BD}{AD}[/tex]
[tex]\implies \sf AD=\dfrac{\dfrac{29\sqrt{3}}{3}}{\tan(38^{\circ})}[/tex]
[tex]\implies \sf AD=21.4\:(nearest\:tenth)[/tex]
[tex]\implies \sf AC=AD+DC=21.4+29=50.4[/tex]
The interior angles of a triangle sum to 180°
⇒ ∠A + 52° + 90° = 180°
⇒ ∠A = 180° - 90° - 52°
⇒ ∠A = 38°
⇒ ∠ABC + 38° + 30° = 180°
⇒ ∠ABC = 180° - 38° - 30°
⇒ ∠ABC = 112°
**I have checked the measures using a graphing programme - see attached**
Find the measure of
Answer:
Angles around a point sum to 360°
⇒ ∠SPT + ∠TPU + 86° + 60° + 154° = 360°
⇒ ∠SPT + ∠TPU = 60°
Therefore:
∠SPQ clockwise = ∠SPT + ∠TPU + 86°
= 60° + 86°
= 146°
∠SPQ anticlockwise = 60° + 154°
= 214°
Answer:
See below ~
Step-by-step explanation:
The total internal measure is 360°.
154° + 60° + 86 + ∠STP + ∠TUP = 360°2∠STP + 300 = 360°2∠STP = 60°∠STP = ∠TUP = 30°Finding ∠SPQ (clockwise):
2∠STP + 86°2(30) + 86146°Finding ∠SPQ (counterclockwise) :
360° - 146°214°One number is twice another number.
The larger number is 6 less than three
times the smaller number. Find the
two numbers.
And a recent year 28.1% of all registered doctors were females if there were 42,000 female registered doctors at your what was the total of registered doctors?
Answer:
Step-by-step explanation:
Discussion
This is a proportion question. A proportion is 2 ratios separated by an equal sign.
If you know three of the components you can solve for the fourth.
Givens
28.1 % are females
42000 are female doctors.
100% is what is required.
Equation
28.1% / 100% = 42000 / x Cross Multiply
28.1 * x = 42000 * 100 Combine
28.1 * x = 4200000 Divide by 28.1
28.1/28.1 x = 4200000/28.1
x = 149466 is the total doctors
Answer
149366 is the total number of doctors.
Isaiah’s Ice Cream Shoppe has 12 different toppings to choose from for their famous sundaes. A customer is allowed to choose any combination of 3 toppings free of charge.
How many different combinations of 3 toppings can be made from the 12 options?
Answer:
36 different combinations
If the figure is rotated 90° clockwise about the origin, what are the coordinates of M′?
Answer:
y: -2 x: -1
Step-by-step explanation:
because if m turns 1/4 of a way clockwise it basically turns upside down 180 would be flipped, so it would be y:2 x:-1.
comment if you need help.
Round 106505 to the nearest hundred thousand
Answer:
106500
Step-by-step explanation:
Christine had 157 dollars to begin with. She just spent k dollars. Using k write an expression for the number of dollars she has left.
Answer:
157 - k = (However much she has left)
Step-by-step explanation:
Answer:
See Explanation
Step-by-step explanation:
157 --> Base number
k --> how much money was spent
x --> money left over
157-k=x
Anybody know this? Please and thankyou!
Answer:
log base(6) [tex]\frac{z^{2}y^{3} }{w^{10} }[/tex]
Step-by-step explanation:
log base(6) [tex]\frac{z^{2}y^{3} }{w^{10} }[/tex]
Which expression is not equivalent to −4x3+x2−6x+8?
The expression which is not equivalent to the provided expression is expression number 1, x²(-4x+1)-2(3x-4).
What is the equivalent expression?Equivalent expressions are the expression whose result is equal to the original expression, but the way of representation is different.
The expression given in the problem is
f(x)=-4x³+x²-6x+8
The option given as,
(1) x² (-4x+1)-2(3x-4)(2) x(-4x²- x + 6) + 8(3) -4x³ + (x - 2)(x - 4)(4) -4(x³ - 2) + x(x - 6)From the given expression, if we take out x from the first three terms, it looks like option 2.
f(x)=-4x³+x²-6x+8
f(x)=x(-4x²+x-6)+8
From the given expression, if the last three terms factored, it looks like option 3.
f(x)=-4x³+x²-6x+8
f(x)=-4x³+x^2-4x-2x+8
f(x)=-4x³+x(x-4)-2(x-4)
f(x)=-4x³+(x-4)(x-2)
Rearrange the given expression, and make it looks like option 4.
f(x)=-4x³+x²-6x+8
f(x)=-4x²+8+x²-6x
f(x)=-4(x³-2)+x(x-6)
Thus, the expression which is not equivalent to the provided expression is expression number 1, x²(-4x+1)-2(3x-4).
Learn more about the equivalent expression here;
https://brainly.com/question/2972832
#SPJ1
ANSWER THIS CORRECTLY FOR BRAINLIEST!!!!
Answer:
v=2143.57
Step-by-step explanation:
4/3 x 3.14 x 8³
3.14 x 512 x 4/3
3.14 x 512=1607.68
1607.68 x 4/3=2143.57333333
round to nearest hundreth
v=2143.57
Answer:
V ≈ 2143.57= 2144
Step-by-step explanation:
[tex]v=\frac{4}{3} *3.14*8^3[/tex]
=2143.57333333
you dont need to round, so!
=2144 (if you want)
sorry for the confusion
PLEASE HELP PLEASE HELP PLEASE
Answer:
1:1
Step-by-step explanation:
How can you use the conversion rates of fluid ounces to cups, and cups to pints, to find the number of fluid ounces in a pint?
Answer:
multiply them
Step-by-step explanation:
Units work in algebraic equations the same way that variables do. They can be multiplied and divided as though they were variables.
For units conversion, we want to change the units without changing the value of the quantity. We do that by multiplying by a unit conversion factor that has a numerator equal to its denominator.
__
We know ...
1 cup = 8 fl oz
2 cups = 1 pint
These relations can be written as the conversion factors ...
(8 floz)/(1 cup) and (2 cups)/(1 pint)
Multiplying these together, the units of cups cancel, leaving fluid ounces per pint.
[tex]\dfrac{8\text{ fl oz}}{1\text{ cup}}\times\dfrac{2\text{ cup}}{1\text{ pint}}=\dfrac{8\cdot2\text{ fl oz$\cdot$cup}}{1\cdot1\text{ pint$\cdot$cup}}=\boxed{\dfrac{16\text{ fl oz}}{1\text{ pint}}}[/tex]
_____
Additional comment
The concept of "like terms" applies to expressions involving units as well as expressions involving variables. Terms can only be added or subtracted if they have the same units.
What is the median of 0.8, 1.0, 2.7, 2.8, 3.1, 13.3
Answer:
[tex]2.75[/tex]
Step-by-step explanation:
Step 1: Determine the median
[tex]0.8, 1.0, 2.7, 2.8, 3.1, 13.3[/tex]
The median of a set is the middle of the set. In this instance, we have 6 numbers so we don't have a number directly in the set representing the median. Instead, we need to find the average or middle between the 3rd and 4th number. So we take 2.7 and 2.8, add them together to get 5.5 and then we divide by 2 to get 2.75 which is our median.
Answer: [tex]2.75[/tex]
please help me i don't understand
A four-sided figure is resized to create a scaled copy.
Answer:
2/9 or 9/2
Step-by-step explanation:
The original figure is 2/9 of the size of the rescaled version, as each measurement is 2/9 of the rescaled version (eg 10/45 = 2/9)
If they want you to tell them how much bigger the rescaled version is, the answer would be 9/2 for the same reason, I'm just not sure which way they want you to go.
Hope this helps! :)
HELP! PLEASE! I will mark you brainalist!!!!!
Answer:
Step-by-step explanation:
Problem a
a is an isosceles triangle. It has 2 sides marked as equal. Therefore the two angles marked in red are also equal.
The top angle = x
x + 70.5 + 70.5 = 180 All triangles have 180 degrees.
x + 141 = 180 Subtract 141 from both sides
x + 141-141 =180 - 141 Combine
x = 39
c + 39 + 87.2 =180 Combine the left
c + 126.2 = 180 Subtract 126.2 from both sides
c+126.2-126.2 = 180-126.2
c = 53.45
Answer: 53.45
Problem B
Comment
Problem b can only be found by taking the supplements of the two given angles. After that is done, the vertically opposite angle to d can be found because d is opposite the third angle.
Supplement of 115.6
Call the supplement = y
y + 115.6 = 180 Supplementary angles = 180 degrees
y +115.6-115.6 = 180 - 115.6 Combine
y = 64.2
Now we need the supplement of 99.9
Call the supplement = z
z + 99.9 = 180 Supplementary angles = 180
z+99.9-99.9 = 180-99.9
z = 80.1
Now subtract y + z from 180
180 - 64.2 - 80.1 = x
x = 35.7
x is opposite d
d = x
d = 35.7 degrees.
Answer
d = 35.7
What is 1 + 1 and explain why using irrational numbers
Answer: 1+1 = Dr. Phill
Step-by-step explanation:
Dr. Phill is the answer for everything, you see, his phillyness is underrated. he has magical wiggly fingers that shine in the sun. he can summon the enderdragon but as a gay drag queen.
therefore, magical wizard, dr. philly pill.
You row upstream at a speed of 2 mi/h. You travel the same distance
downstream at a speed of 5 mi/h. What would be your rowing speed in still water?
What is the speed of the current?
Answer:
3.5 m/hr
Step-by-step explanation:
2 + c = 5 -c c = speed of current
2 c = 3 c = current speed = 1.5 m/hr
your speed = 5 - 1.5 (or 2 + 1.5) = 3.5 m/hr
PLS HALP!!
Dried rose petals can be used to make rose water. Fatima buys 0.454 kilogram
of rose petals.
• She uses 0.02 kilogram of the rose petals to make rose water.
• Then, she buys an additional 0.056 kilogram of rose petals.
• Finally, she uses 0.095 kilogram of the rose petals to make more rose water.
Fatima completes the steps below and says she has 0.413 kilogram of rose
petals left. What mistake did Fatima make?
Use the drop-down menus to explain her mistake and to find the number of
kilograms of rose petals left.
First Step
Second Step
Third Step
0.454
0.452
0.508
0.02
+0.056
- 0.095
0.452
0.508
0.413
Click the arrows to choose an answer from each menu.
Fatima made her first mistake at the Choose...
step.
She incorrectly Choose...
Fatima has Choose...
Y
kilogram of rose petals left.
In the end, Fatima only has 0.395 kg of roses, because she used up a total of 0.115 kg of rose petals.
How to know how many rose petals Fatima has at the end?To calculate the amount of rose petals that Fatima has at the end, we must perform the following mathematical operations:
Subtract 0.02kg to 0.454kg
0.454kg - 0.02kg = 0.434kgAdd 0.056 kg to 0.434 kg
0.056kg + 0.434kg = 0.49kgSubtract 0.095kg from 0.49kg
0.49kg - 0.095kg = 0.395kgBased on the above, Fatima is wrong because she thinks she should have 0.413 kg of rose petals, but she has 0.395 kg.
Learn more about kilograms in: https://brainly.com/question/10208174
#SPJ1
You conduct a survey that asks 350 students in your class about whether they prefer pizza or chicken for school lunch. One hundred eighty-nine males respond, 95 of which prefer pizza. Fifty-two females prefer the chicken. Part A: Organize the results in the two-way table provided. Male Female Total Pizza Chicken Total 189 161 350 Part B: What percent of females like the pizza?
El oh Elllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllll
An invasive species has an initial population of 20 organisms. In five years it’s population has grown to 130. Assuming exponential growth, how many years will it take its population to reach 5,000?
The 15 years it will take its population to reach 5,000 if initial population of 20 organisms.
What is an exponential function?
It is defined as the function that rapidly increases and the value of the exponential function is always a positive. It denotes with exponent [tex]\rm y = a^x[/tex]
where a is a constant and a>1
Let's assume the exponential growth is:
[tex]\rm y = Ae^{rt}[/tex]
From the problem:
[tex]\rm 130 = 20e^{5r}[/tex]
[tex]\rm e^{5r}= 6.5[/tex]
Taking ln both side:
We get:
r = 0.374
[tex]\rm 5000 = 20e^{0.374t}[/tex]
After solving, we get:
t = 14.76 ≈ 15 years
Thus, the 15 years it will take its population to reach 5,000 if initial population of 20 organisms.
Learn more about the exponential function here:
brainly.com/question/11487261
#SPJ1
Step one 3(x+4)+2=2+5(x-4)
Answer: 16
Here are the steps to solve for x:
3(x+4) + 2 = 2+5(x-4)
1. Distribute to get rid of the parentheses
3x+12+2 = 2+5x-20
2. Combine like terms
3x+14 = 5x -18
3. Get like terms on the same side
3x+14 = 5x -18
-14 -14
3x = 5x -32
-5 -5
-2x = -32
4. Divide by -2 to isolate x
-2/2 x = -32/2
x=16
find x ...............
In the first circle, x is the radius and also the hypotenuse of a right triangle with legs measuring 9 and 12. So by the Pythagorean theorem,
x² = 9² + 12² = 225 = 15² ⇒ x = 15
In the second circle, the chords AB and CD have the same length, and each of AP, BP, CP, and DP are radii of the circle and also have the same length. This means ∆ABP and ∆CDP are congruent, so the two labeled angles are also congruent, so x = 54.
Jeremy is x years old. He is 5 years younger than his sister. Together, the sum of their ages is 29 years.
Enter an equation that can be used to find Jeremy's age (x).
What is the area of this figure? Please help
Answer:
369.5 ft²
Step-by-step explanation:
Area of figure :
Area (rectangle 1) + Area (rectangle 2) + Area (triangle 1) + Area (triangle 2)
5 x 4 + 13 x 8 + 1/2 x 23 x 13 + 1/2 x 24 x 820 + 104 + 149.5 + 96124 + 96 + 149.5220 + 149.5369.5 ft²Answer:
369.5 ft²
Step-by-step explanation:
Separate the figure into 2 rectangles and 2 triangles.
(see attached image)
Area 1
Area of a rectangle = width × length
= 4 × 5
= 20 ft²
Area 2
Area of a rectangle = width × length
= 8 × (4 + 4 + 5)
= 8 × 13
= 104 ft²
Area 3
Area of a triangle = 1/2 × base × height
= 1/2 × (6 + 4 + 5 + 4 - 6) × 23
= 1/2 × 13 × 23
= 149.5 ft²
Area 4
Area of a triangle = 1/2 × base × height
= 1/2 × 8 × (21 + 8 - 5)
= 1/2 × 8 × 24
= 96 ft²
Total Area
Area 1 + Area 2 + Area 3 + Area 2 = 20 + 104 + 149.5 + 96
= 369.5 ft²