An oatmeal container is in the shape of a right circular cylinder. The radius of the base is 4 centimeters, and the height is 17 centimeters. What is V, the volume of the container in terms of π?
V =
π cm3
Answer:
V = 272 π cm^3
Step-by-step explanation:
r = 4 cm
h = 17 cm
V = πr^2h
V = π((4)^2)(17) cm^3 = 272 π cm^3
5ª×5ª=5¹¹. what r the value of a?
Answer:
I think one is 5 and another is 6 because 5+6=11
Answer:
a=5
a=6
add the exponents and keep the base the same
Solve for the area of the shape below. Don't forget
your units!!
13 in
9in
7in
18in
Area:
Answer:
63in^2
Step-by-step explanation:
base=18in
height=7in
Area=b*h*1/2
=18*7*1/2
=63in^2
Factories the following quadratic:
x^2 - 9x + 20
Answer:
[tex]\sf factorisation\hookrightarrow \: (x- 4)(x - 5)[/tex]
Step-by-step explanation:
Given equation
[tex] \sf {x}^{2} - 9x + 20 [/tex]
Rules for factorisation,
distribute the middle term in such a way that constant of each term when multiplied outputs the last number.
The middle term -9x can be written as sum of -5x and -4x, and when we multiply -5 with -4 it turns+20.
rewriting equation,
[tex] \sf \hookrightarrow {x}^{2} - 5x - 4x + 20 \\ \sf \hookrightarrow x(x - 5) - 4(x - 5) \\ \sf \hookrightarrow \: (x- 4)(x - 5)[/tex]
[tex] \sf factorisation\hookrightarrow \: (x- 4)(x - 5)[/tex]
Thanks for joining brainly community!
Answer:
(x - 5)(x - 4)[tex] \: [/tex]
Step-by-step explanation:
So, here we have to factorise the polynomial :
[tex]\\ \longrightarrow \sf \qquad {x}^{2} - 9x + 20\\ \\[/tex]
We are to find two numbers such that,
[tex]\\ {\longrightarrow \pmb{\sf {\qquad p + q = 9 \:}}} \\ \\[/tex]
[tex]\\ {\longrightarrow \pmb{\sf {\qquad p \times q = 20 \:}}} \\ \\[/tex]
The two numbers are 4 and 5, so
[tex]\\ \longrightarrow \sf \qquad {x}^{2} - 5x - 4x+ 20\\ \\[/tex]
Finding common factors :
[tex] \\ {\longrightarrow \pmb{\sf {\qquad {x} (x - 5) - 4(x - 5) \:}}} \\ \\[/tex]
[tex]{\longrightarrow \pmb{\sf {\qquad (x - 5) (x - 4) \:}}} \\ \\[/tex]
Some points to know :
Factorisation is the reverse process of multiplucation.The Factorisation is the process of finding two or more expressions such that their product is the given expressionWhat do a rectangle and a kite have in common?
Answer:
- Both are quadrilaterals.
- Both have two pairs of side of equal length.
I hope my answer helps you.
Answer: 2 pairs of congruent sides
Hope this helps!
have a nice day!
Find the length of the third side. If necessary, round to the nearest tenth
Pythagorean Theorem (Rounding)
Given circle E with diameter \overline{CD} CD and radius \overline{EA} EA . \overline{AB} AB is tangent to E at A. If EA=18 and DB=12, solve for AB. Round your answer to the nearest tenth if necessary.
The line AB from the diagrammatic expression of the tangent of the circle shows that line AB is 24.0
What is the tangent of a circle?A tangent of a circle is a line that intersects the circle at a single point. The site at which the tangent intersects the circle is referred to as the site of tangency.
From the given information:
Line |CD| = Diameter Line |EA| = radius = 18Line |DB| = 12Then, we can infer that line EA = DE since they are both (radii of the circle.)
Line |DE| = |EA| = 18By using the formula for Pythagoras theorem, we can find line |EA|.
hyp² = opp² + adj²where;
Line |BE| = hypotenuse = DB + BE = 12 + 18 = 30Line |AB| = opposite (x) = ???Line |EA| = adjacent = 18Thus;
30² = x² + 18²
900 = x² + 324
-x² = -900 + 324
x = √576
x = 24.0
Learn more about finding the tangent of a circle here:
https://brainly.com/question/16507124
PLS HELP ITS ONLY 2 QUESTIONS
For number 6, Cylinder formula 3.14r^2*h (h=height)
For 5, pyramid formula 1/3b*h
5) base=33
Length=34
Height=21
6) pi=3.14
Radius=20
Height=31
Answer:
Cylinder: 3.14(20)^2*31
3.14(400)*31
1,256*31
becomes the answer 38,936!
Pyramid: 1/3(33)^2*21
1/3(1,089)*21
363*21
7,623!!!
A salesperson receives a 2.5% commission on sales what commission does the person receive for $8,000 in sales.
Answer:
8000 * 1.025 = 8200
commision = 200
Step-by-step explanation:
The amount of Jake’s paycheck is directly proportional to the hours he works. After working 23 hours, his paycheck was $180.55. Determine the number of hours Jake needs to work to receive a paycheck of $290.45.
Answer:
35 hours
Step-by-step explanation:
please help giving 20 points
Answer: 13
Step-by-step explanation:
We will use the order of operations to solve.
Given:
20 ÷ (5 * [tex]\frac{2}{5}[/tex]) + 3
Multiply:
20 ÷ ([tex]\frac{10}{5}[/tex]) + 3
Divide:
(20 * [tex]\frac{5}{10}[/tex]) + 3
[tex]\frac{100}{10}[/tex]
Add:
10 + 3
13
Find the volume of the figure below.
Answer:
a
Step-by-step explanation:
Volume = πr2h
= π×3.52×5
= 61.25π
= 192.42255003237 centimeters3
and
Volume = 7×5×12 = 420 feet3
so,
192.4+420= 612.4 cm^3
PLSSS HELP IF YOU TURLY KNOW THISS
Answer:
The Answer is 3 1/2 or C
Step-by-step explanation:
2+1=3
1/6+2/6=3/6
3/6 = 1/2
3 + 1/2 = 3 1/2
if 6 people share 31 apples equally, how many apples should each person get ?
Answer:
5 apples
Step-by-step explanation:
[tex]\frac{31}{6}=5.16666667[/tex]
Since the problem asks for how many apples, you'll have to round down the number you get. 5.16666667 rounded down gives you 5 apples each.
-1/3 + -7/4 please help me
Answer:
-25/12
Step-by-step explanation:
Given expression:
[tex]\bullet \ \ \dfrac{-1}{3} + \huge\text{(}\dfrac{-7}{4} \huge\text{)}[/tex]
Open the parenthesis:
[tex]\implies \dfrac{-1}{3} + \huge\text(\dfrac{-7}{4} \huge\text)[/tex]
[tex]\implies \dfrac{-1}{3} - \dfrac{7}{4}[/tex]
Make common denominators:
[tex]\implies \dfrac{-1 \times 4}{3 \times 4} - \dfrac{7 \times 3}{4 \times 3}[/tex]
[tex]\implies \dfrac{-4}{12} - \dfrac{21}{12}[/tex]
Subtract the fractions:
[tex]\implies \boxed{\dfrac{-25}{12}}[/tex]
Bradley bought 8 quarts of lemonade. How many cups did Bradley buy?
Answer: 32 cups
Step-by-step explanation:
1 quart: 4cups
8 x 4 : 36 cups
levi works 8 hours each workday . He works every day for 10 days. If he made 620 during those 10 days ,how much does levi make per hour?
Answer:
7.75$
Step-by-step explanation:
620/10 = 62
This gives you the amount of hours (8) in the day
62/8 = 7.75
This gives you how much Levi makes each hour :)
A Parallelogram has one angle that measures 10°. What are the measures of the other three angles in the parallelogram?
one angle= 10°
to find:the remaining 3 angles.
solution:angle sum= 360°
2x10=20
360–20=340
340/2=170
so, the remaining 3 angles are 10, 170 and 170.
Answer:
10, 170, 170
Step-by-step explanation:
Opposite angles of parallelogram are equal
Consecutive angles in a parallelogram are supplementary (add 180°)
Interior angles in a quadrilateral add up to 360°.
10+10=20 (2 opposite angles of 10 each)
360-20= 340
340/2 = 170 (2 opposite angles of 170)
10+170 = 180 (2 consecitive angles supplementary)
10+10+170+170=360
Use what you know about triangles to classify this triangle.
Triangle with two acute angles and one ninety degree angle. Two sides are the same length.
Answer:
I believe this is an isosceles triangle! Hope this helps ^^
of the ten menu items at deli, 7 are sandwiches With meat, 2 are sandwiches without meat, and 1 is a desert.Write the fraction of menu options that are sandwiches as a fraction with a denominator of 100. Then write the fraction as a decimal.
The fraction of menu options that are sandwiches is 70/100, or 0.7 in decimal form.
How to write the fraction?
Out of the 10 options on the menu, 7 are sandwiches.
Then the fraction of options in the menu that are sandwiches is:
7/10
But we want the denominator to be 100, so we multiply both numerator and denominator by 10 to get:
7*10/10*10 = 70/100
This is the fraction we wanted.
Now, we want it as a decimal, this will be:
70/100 = 0.7
If you want to learn more about fractions, you can read:
https://brainly.com/question/11562149
Find the area of the shaded region
Answer:
Step-by-step explanation:
Remark
The easiest way is to find the area of the trianlge and subtract the area of the circle.
Area of the triangle
Area of the triangle = 1/2 b * h
b = 40 km
h = 27 km
The height is a little tricky. Since the angle at the base is greater than 90, you have to extend the base. Drop a line from the peak to the base making a right angle with the base. This has been done for you: the height is 27 km
Area of the triangle = 1/2 * 40 * 27
Area of the triangle = 540
Area of the circle
Area of the circle = pi r^2
r = d/2
r = 12/2
r = 6
Area of the circle = pi * 6*6
Area of the circle = 3.14 * 36
area of the circle = 113.04
Area of the shaded region
Area of the shaded region = area of triangle - area of the circle
Area of the triangle = 540
Area of the circle = 113.04
Area of the shaded region = 540 - 113.04
Area of the shaded region = 426.96
You received an $8500 bonus, which was 12% of your salary. What is your annual salary with this bonus?
$79333
Step-by-step explanation:[tex]salary:x[/tex]
[tex]12\%x=8500[/tex]
[tex]x=8500\div 12\%[/tex]
[tex]x=70833[/tex]
[tex]70833+8500=\$79333[/tex]
I hope this helps you
:)
Please Help! I'll give a lot of points!
Find the simple interest Jolie owes on a 2-year loan for $9,500 to buy a used car at the rate of 9% interest.
This is a TWO part question, make sure to answer both part A. and B.
A. Find the amount of interest. Show the math computation use to find the amount of interest.
B. What was the monthly payment? Show the work used to find this answer.
Answer:
A. Interest = $1710
B. Monthly payment = $467.08
Step-by-step explanation:
Simple interest formula:
[tex]\sf A = P(1+rt)[/tex]
where:
A = final amountP = principalr = annual interest rate (in decimal form)t = time (in years)Given:
P = $9,500r = 9% = 0.09t = 2 yearsSubstitute given information into the formula:
[tex]\begin{aligned} \sf \implies A & = \sf 9500(1+0.09 \cdot 2)\\& = \sf 11210 \end{aligned}[/tex]
Interest = final amount - principal
= 11210 - 9500
= $1710
term = 2 years
1 year = 12 months
⇒ term = 2 × 12 = 24 months
Monthly payment = final amount ÷ months in term
= 11210 ÷ 24
= $467.08
So
[tex]\\ \rm\rightarrowtail I=\dfrac{PRT}{100}[/tex]
[tex]\\ \rm\rightarrowtail I=\dfrac{9500(2)(9)}{100}[/tex]
[tex]\\ \rm\rightarrowtail I=95(18)[/tex]
[tex]\\ \rm\rightarrowtail I=\$ 1710[/tex]
#B
Total months=24
Monthly payment:-
Principle+Interest/months9500+1710/2411210/24467.08≈467$Hannah is solving a quadratic equation in the form ax^2+ bx + c = 0
She has got to this point in her working out.
x = 3 +/- root 29 / 2
Find the values of a, b and c for the equation Hannah is solving.
A quadratic equation is represented by the form ax^2+ bx + c = 0
The values of a, b and c are 1, -3 and -5, respectively
How to determine the values of a, b and c?The solution is given as:
[tex]x = \frac{3 \pm \sqrt{29}}2[/tex]
The solution to a quadratic equation is represented as:
[tex]x = \frac{-b \pm \sqrt{b^2 - 4ac}}{2a}[/tex]
By comparing [tex]x = \frac{-b \pm \sqrt{b^2 - 4ac}}{2a}[/tex] and [tex]x = \frac{3 \pm \sqrt{29}}2[/tex], we have:
-b = 3
So, b = -3
Also, we have:
2a = 2
So, a = 1
Also, we have:
b² - 4ac = 29
Substitute values for a and b
(-3)² - 4 * 1 * c = 29
This gives
9 - 4c = 29
Subtract 9 from both sides
-4c = 20
Divide by -4
c = -5
Hence, the values of a, b and c are 1, -3 and -5, respectively
Read more about quadratic equations at:
https://brainly.com/question/8649555
one sixth of a number is 9 algebraic expression
Answer:
x= 54
Step-by-step explanation:
let the number be (x)
so One sixth of x will be 9
numerically,
1/6 × (x) =9
x= 9×6
x= 54
One-sixth can be written as [tex]^1/_6[/tex]
now, let the number be y
so one-sixth of y is written as
[tex]^1/_6~y~=~9[/tex]
If it's necessary to solve for y, consult the [Solving for y] section of this ans ↓[Solving for y]First we need to get rid of the fraction, one-sixth.
since in mathematics we can't just terminate fractions without altering the equation/expression itself, we need to perform an operation.
the first one is multiplication; we will multiply both sides of the equation by 6 (the denominator of the fraction)
[tex]^1/_6*6~y~=~9~*~6}[/tex]
On the left-hand side the 6's cancel, and we're left with
1 y = 9 * 6
Or
y = 9* 6
Which simplifies to :
y = 54
What is 0.08÷3.16? as a decimal.
Answer:
It's 0.03 rounded to the nearest hundredth.
Step-by-step explanation:
The whole answer is 0.0253164557.
Giving brainiest and 50 points! :)
Answer:
105 cm³
Step-by-step explanation:
Given:
Height of triangular base: 7 cmBase of triangular base: 5 cmHeight of triangular prism: 6 cmFormula:
[tex]\text{Area of triangular prism:} \ (\text{Area of triangle}) \times \text{Height of triangular prism}[/tex]
Substitute the given measures in the formula to determine the volume.
[tex]\implies\text{Area of triangular prism:} \ (\frac{1}{2} \times 5 \times 7) \times 6[/tex]
Simplify the expression as needed.
[tex]\implies\text{Area of triangular prism:} \ (17.5) \times 6[/tex]
[tex]\implies\boxed{\text{Area of triangular prism:} \ 105 \ \text{cm}^{3}}[/tex]
Answer:
105 cm³
Step-by-step explanation:
Given:
Height of triangular base: 7 cm
Base of triangular base: 5 cm
Height of triangular prism: 6 cm
Formula:
Substitute the given measures in the formula to determine the volume.
Simplify the expression as needed.
Find the measure of each angle indicated.
The measure of the unknown angle in the triangle is 58 degrees.
What is a triangle ?A triangle has three sides and the sum of the angles of a triangle is 180 degrees.
Triangles can be classified base on there angles and length of the sides.
Therefore,
let the length of the unknown angle = x
x + 65° + 57° = 180°
x + 122 = 180
subtract 122 from both sides
x + 122 - 122 = 180 - 122
x = 58 degrees
leanr more on triangle here: https://brainly.com/question/8691602
Please help me soon, been stuck for a while!
Answer:
Step-by-step explanation:
Answer:
3p + 2s = 27.5
3p + 2s = 27.54p + 3s = 37.5
Multiplies first equation by 4 and second equation by -3
12p + 8s = 110
12p + 8s = 110-12p + -9s = -112.5
12p + 8s = 110-12p + -9s = -112.5Adding them together-s = -2.5s = 2.5
12p + 8s = 110-12p + -9s = -112.5Adding them together-s = -2.5s = 2.53p + 2(2.5) = 27.5
12p + 8s = 110-12p + -9s = -112.5Adding them together-s = -2.5s = 2.53p + 2(2.5) = 27.53p +5 = 27.53p = 22.5p = 7.5
pumpkins weigh 7.5 pounds and squash weighs 2.5 pounds
hope it helps
pls mark as brainliest answer
follow me on brainly
Answer:
the blank is 10 lbs
Step by step:
3p + 2s = 27.5
3p + 2s = 27.54p + 3s = 37.5
Multiplies first equation by 4 and second equation by -3
12p + 8s = 110
12p + 8s = 110-12p + -9s = -112.5
12p + 8s = 110-12p + -9s = -112.5Adding them together-s = -2.5s = 2.5
12p + 8s = 110-12p + -9s = -112.5Adding them together-s = -2.5s = 2.53p + 2(2.5) = 27.5
12p + 8s = 110-12p + -9s = -112.5Adding them together-s = -2.5s = 2.53p + 2(2.5) = 27.53p +5 = 27.53p = 22.5p = 7.5
Answer 2:
pumpkins weigh 7.5 pounds and squash weighs 2.5 pounds
A parallelogram has an area of 136.96 square kilometers and a height of 12.8 kilometers. What is the length of the base?
Answer:
the answer is 10.7
Step-by-step explanation:
[tex]136.96 \div 12.8 [/tex]
that show give you your answer