Answer: 16
Step-by-step explanation:
Work out the size or angle X
Answer:
180-132
Step-by-step explanation:
the entire angle should sum to 180
Answer:
48 °
Step-by-step explanation:
132° + x° = 180° (Linear pair)
∴ x° = 180° - 132°
∴ x° = 48°
Hope this helps :) !!!
The base of a rectangular prism has a base of 15 square cm. The height of the prism is 5 cm. What is the volume of the rectangular prism?
Step-by-step explanation:
eyeyeyeyeyyeyeyeyeeyeyeueueuryryru
Can someone do 11-12?
Please help! I will give Brainliest!
Answer:
p(not L) = 7/8, 0.875, 87.5%
Step-by-step explanation:
8 letters in total
7 are not L
p(not L) = 7/8, 0.875, 87.5%
2sqroot97x
Which value of x makes the expression above equivalent to 20 sqroot97? pls provide a step by step explanation (:
Answer:
A
Step-by-step explanation:
Plzzzzz helppppppp teachersssss
Answer:
1. tan(x) = 9/20
arctan(9/20) ≈ 24.23°
2. cos(x) = 17/32
arccos(17/32) ≈ 57.91°
3. tan(x) = 13/18
arctan ≈ 35.84°
4. sin(x) = 21/28
arcsin(21/28) ≈ 48.59°
Answer:
1 x = 24.2°
2 x = 57.9°
Step-by-step explanation:
You must memorize the definitions of the trig functions and then these problems are easy
1: tan = opposite side/adjacent side
opp side to x is 9 and adjacent side is 20
So, tan x = 9/20
x = arctan (9/20) = 24.2°
2: cos = adjacent side/hypotenuse
adjacent side = 17 and hypotenuse = 32
cos x = 17/32
x = arccos (17/32)
x = 57.9°
You do 3 and 4. Hint: Use the tan function in 3 and the sine function in 4
OK? You can do it!!!!
In her assignment, Pat is representing the populations of cities using circles. The area of
each circle is directly proportional to the population of the city it represents.
(a) If a city of population 20 000 is represented by a circle of radius 1.5 cm, what would
be the radius of the circle representing:
(i) City A, population 10 000?
(ii) City B, population 36 500?
(b) Would Pat be able to use a circle to represent a city of population 4 500 000? Explain
your answer.
Answer:
n
Step-by-step explanation:
n
The different kinds of beads Jen is using to make purses come in packages of 4 and 12. What is the least number of each kind of bead Jen can buy to have an equal number of each of the different kinds of beads?
Answer:
You should buy 3 packages of beads that come in packages of 4 and 1 package of beads that come in packages of 12 to have an equal number of each of the different kinds of beads.
Step-by-step explanation:
Since the different kinds of beads Jen is using to make purses come in packages of 4 and 12, to determine what is the least number of each kind of bead Jen can buy to have an equal number of each of the different kinds of beads the following calculation must be performed:
12/4 = 3
4 x 3 = 12
Thus, you should buy 3 packages of beads that come in packages of 4 and 1 package of beads that come in packages of 12 to have an equal number of each of the different kinds of beads.
Help me!!!!!!!!!!!!!!!
Answer:
look at the picture i have sent
Answer:
BHM = 64°
x = 16°
Step-by-step explanation:
BHL is 90° and MLH is 26°. This means to find BHM, we have to subtract 26 from 90.
90 - 26 = 64°
BHM = 64°
BHM is also equal to 4x.
So, to find x, divide 64 by 4. (64 = 4x --> 64 ÷ 4 = x)
64 ÷ 4 = 16
x = 16°
You went to the barber to get your hair cut. The haircut cost $30. You tipped the barber 20%. How much money did you give the barber for a tip? What is the total amount you paid all together?
Answer:
Tip $6
Total Amount $36
Step-by-step explanation:
20% of $30 is 6
$30 + $6 = 36
Find the area of the circle.
Use 3.14 for pi
d = 10 cm
A = [?] cm2
A=Pi r2
Step-by-step explanation:
the only thing youre missing is
radius = diameter / 2
Answer:
78.54 cm squared
Step-by-step explanation:
A=πr^2
Since they only give the diameter, divide the diameter by 2
π*25 = 78.54
Have a good day :)
which two integers does √5 go between?
Answer:
The two integers are 2 and 3
Step-by-step explanation:
√5
=2.2
3x^2+3x^2=42
xy=-15
Find the value of (x-y)^2
Answer:
wrong question
Step-by-step explanation:
[tex]wrong question[/tex]
Find the length of y
Answer:
From SOHCAHTOA
Cos17=73/y
y=73/cos17
y=76.34cm
Option B
Which graph shows a dilation?
Answer:
Hello! Mizuki here to answer!
The correct answer would be the first option!
Step-by-step explanation:
Remember, dilation is when a shape gets bigger/smaller.
In this case, the first option would be the only dilation.
What is the volume of a
cube that has one side of ||
cm?
Answer:
5
Step-by-step explanation:
633 yess sjs this is rhe im doing this for points
Answer: V=a3
Step-by-step explanation:
Consider the following functions. (See attachment)
Find the area of the region.
Answer:
Area: [tex]\displaystyle \frac{1}{2}[/tex]
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightAlgebra I
FunctionsFunction NotationGraphing FunctionsExponential Rule [Root Rewrite]: [tex]\displaystyle \sqrt[n]{x} = x^{\frac{1}{n}}[/tex]Calculus
Derivatives
Derivative Notation
Derivative of a constant is 0
Area - Integrals
Area under a curveArea between 2 curvesIntegration Rule [Reverse Power Rule]: [tex]\displaystyle \int {x^n} \, dx = \frac{x^{n + 1}}{n + 1} + C[/tex]
Integration Rule [Fundamental Theorem of Calculus 1]: [tex]\displaystyle \int\limits^b_a {f(x)} \, dx = F(b) - F(a)[/tex]
Integration Property [Addition/Subtraction]: [tex]\displaystyle \int {[f(x) \pm g(x)]} \, dx = \int {f(x)} \, dx \pm \int {g(x)} \, dx[/tex]
U-Substitution
Area of a Region Formula: [tex]\displaystyle A = \int\limits^b_a {[f(x) - g(x)]} \, dx[/tex]
Step-by-step explanation:
Step 1: Define
Identify functions
[tex]\displaystyle f(x) = \sqrt[3]{x - 9}[/tex]
[tex]\displaystyle g(x) = x - 9[/tex]
Step 2: Identify Info
Graph the functions - See Attachment
[1st Integral] Bounds: [8, 9], g(x) top function/f(x) bottom function
[2nd Integral] Bounds: [9, 10], f(x) top function/g(x) bottom function
Step 3: Find Area Pt. 1
Set up integrals [Area of a Region Formula]: [tex]\displaystyle A = \int\limits^9_8 {[(x - 9) - \sqrt[3]{x - 9}]} \, dx + \int\limits^{10}_9 {[\sqrt[3]{x - 9} - (x - 9)]} \, dx[/tex]Rewrite integrals [Integration Property - Addition/Subtraction]: [tex]\displaystyle A = \int\limits^9_8 {(x - 9)} \, dx - \int\limits^9_8 {\sqrt[3]{x - 9}} \, dx + \int\limits^{10}_9 {\sqrt[3]{x - 9}} \, dx - \int\limits^{10}_9 {(x - 9)} \, dx[/tex]Integrate [Integration Rule - Reverse Power Rule]: [tex]\displaystyle A = (x^2 - 9x) \bigg| \limits^9_8 - \int\limits^9_8 {\sqrt[3]{x - 9}} \, dx + \int\limits^{10}_9 {\sqrt[3]{x - 9}} \, dx - (x^2 - 9x) \bigg| \limits^9_8[/tex]Evaluate [Integration Rule - FTC 1]: [tex]\displaystyle A = \frac{-1}{2} - \int\limits^9_8 {\sqrt[3]{x - 9}} \, dx + \int\limits^{10}_9 {\sqrt[3]{x - 9}} \, dx - \frac{1}{2}[/tex]Subtract: [tex]\displaystyle A = -\int\limits^9_8 {\sqrt[3]{x - 9}} \, dx + \int\limits^{10}_9 {\sqrt[3]{x - 9}} \, dx - 1[/tex]Rewrite [Exponential Rule - Root Rewrite]: [tex]\displaystyle A = -\int\limits^9_8 {(x - 9)^{\frac{1}{3}}} \, dx + \int\limits^{10}_9 {(x - 9)^{\frac{1}{3}}} \, dx - 1[/tex]Step 4: Identify Variables
Identify variables for u-substitution.
u = x - 9
du = dx
Step 5: Find Area Pt. 2
[Integrals] U-Substitution: [tex]\displaystyle A = -\int\limits^0_{-1} {u^{\frac{1}{3}}} \, du + \int\limits^1_0 {u^{\frac{1}{3}}} \, du - 1[/tex][Integrals] Integrate [Integration Rule - Reverse Power Rule]: [tex]\displaystyle A = -(\frac{3}{4}u^{\frac{4}{3}}) \bigg| \limits^0_{-1} + (\frac{3}{4}u^{\frac{4}{3}}) \bigg| \limits^1_0 - 1[/tex]Evaluate [Integration Rule - FTC 1]: [tex]\displaystyle A = -(\frac{-3}{4}) + \frac{3}{4} - 1[/tex]Simplify: [tex]\displaystyle A = \frac{1}{2}[/tex]Topic: AP Calculus AB/BC (Calculus I/II)
Unit: Integrals - Area between 2 curves
Book: College Calculus 10e
Find all zeros. Choose all answers that apply.
f(x) = -x3 + 4x² + 5x
O A. X = -5
B. X = -1
O C. x = 0
O D. x = 1
A line goes through the points (0, -2) and (5, 18). What is the slope of the line?
Answer:
[tex]\displaystyle m = 4[/tex]
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightAlgebra I
Coordinates (x, y)Slope Formula: [tex]\displaystyle m = \frac{y_2-y_1}{x_2-x_1}[/tex]Step-by-step explanation:
Step 1: Define
Identify
Point (0, -2)
Point (5, 18)
Step 2: Find slope m
Simply plug in the 2 coordinates into the slope formula to find slope m
Substitute in points [Slope Formula]: [tex]\displaystyle m = \frac{18--2}{5-0}[/tex][Fraction] Subtract: [tex]\displaystyle m = \frac{20}{5}[/tex][Fraction] Divide: [tex]\displaystyle m = 4[/tex]Need help on this one plz
Answer:
3 15/18
Step-by-step explanation:
well, 4 5/18 can't take away 8/18 with the fraction itself. so, you take 5 from 8 and get -3. then, take one whole number away and subtract the 18 from 3 (this was the negative 3) and you have the answer. so to conclude it 5 cant take away 8 so its like carrying. you take one whole number that is 18/18 and you subtract the 18 from 3.
If you were the number keep 660 times how many times will you likely roll a two or five
Answer:
220
Step-by-step explanation:
a dice has 6 sides
660 divided by 6 = 110
you asked for 2 numbers so
110 times 2 = 220
Fill in the blank. Using the number line below, the plotted number is when rounded to the nearest ten.
1250
€ 125oo
Q8 A taxi company charges £5 standing charge and £1.50 per mile for a journey.
A man travels in a taxi for 12.2 miles.
What is the cost of his journey?
Show your working
Answer:
£23.30
Step-by-step explanation:
First, find the cost from traveling 12.2 miles. Since the cost is £1.50 per mile, multiply 12.2 by 1.5:
12.2(1.5)
= 18.3
Add the standing charge to this:
18.3 + 5
= 23.3
So, the cost of his journey is £23.30
birdseed cost $1.25 per pound how much does 6 pounds of birdseed cost
Answer:
7.5 for 6 pounds
Step-by-step explanation:
When Mr Lee was given a raise of 20%, his new salary was $1980.How much was his increase in his salary?
Answer:
$330
Step-by-step explanation:
to find how much he earned before raise:
1.2x = 1980
x = 1980/1.2
x = 1650
current salary: 1980
former salary: 1650
he makes $330 more
Answer:
330
Step-by-step explanation:
Tom is tiling a wall.
He needs to buy at least 100 tiles. The tiles are sold in large packs and small packs.
Large pack = 40 tiles £18
Small pack = 28 tiles £14
Special offer = 25% reduction when you buy 3 or more large packs.
Work out the cheapest cost for Tom to buy the packs of tiles he needs.
Answer £
Answer:
The correct answer is - £ 40.5 for 3 large packs.
Step-by-step explanation:
Given:
Large pack = 40 tiles £18
Small pack = 28 tiles £14
Special offer = 25% reduction when you buy 3 or more large packs.
Solution:
Following combinations are possible for tom to get the tiles he needs:
1. 3 large packs
40*3 = 120 tiles with 25% discount
cost = 18*3 - 0.25*18*3 = 40.5
2. 4 small packs
28*4 = 112 tiles
cost = 14*4 = 56
3. 2 large packs and 1 small pack
40*2 + 28 = 108 tiles
cost = 18*2 + 14 = 50
4. 1 large pack and 3 small packs
40 + 28*3 = 124 tiles
cost = 18 + 14*3 = 60
Thus, the correct answer is - 1st case with three large packs.
The angle measurements in the diagram are represented by the following expressions
ZA = 8r+6
B = 4.1 +38
Solve for x and then find the measure of B:
_B =
answer:
∠B = 70°
step-by-step explanation:
as you can see, the angle are alternate exterior anglestherefore, they are EQUALwe can set them equal to each and solve for x first∠A = ∠B
8x + 6 = 4x + 38
4x + 6 = 38
4x = 32
x = 8
now, we will plug in x in the expression for B to find B4(8) + 38
32 + 38
= 70
therefore, ∠B = 70° and x = 8find the solution set of 1/3x-4≤ 2+x
1/3x*3-4*3≤ 2*3+x*3
x-12≤6+3x
-12-6≤3x-x
-18/2≤2x/2
-9≤x
OR
1÷3x-4≤ 2+x
x-12≤6+3x
-12-6≤3x-x
-18/2≤2x/2
-9≤x
Answer:
[-9 ≤ x] or [x ≥ -9]
Step-by-step explanation:
QUESTION :-
Find the solution set of → [tex]\frac{1}{3} x - 4 \leq 2+ x[/tex]
SOLUTION :-
Simplify the L.H.S.[tex]=> \frac{x-12}{3} \leq x + 2[/tex]
Multiply both the sides by 3[tex]=> \frac{x - 12}{3} \times 3 \leq 3(x + 2)[/tex]
[tex]=> x - 12 \leq 3x +6[/tex]
Substract 'x' from both the sides[tex]=> x - 12 - x \leq 3x + 6 -x[/tex]
[tex]=> -12 \leq 2x + 6[/tex]
Substract 6 from both the sides.[tex]=> -12 - 6 \leq 2x + 6 - 6[/tex]
[tex]=> -18 \leq 2x[/tex]
Divide both the sides by 2.[tex]=> \frac{-18}{2} \leq \frac{2x}{2}[/tex]
[tex]=> -9 \leq x[/tex] or [tex]x \geq -9[/tex]
The ages of eight different students in a college math class were used to make the box plot shown above. Which of the following numbers below is the median of the ages?
A. 21.5
B. 20.5
C. 22.5
D. 24.5
What system of equations is shown on the graph below?