Answers
Answer:
Hyp = 9.42
R = 71º
S = 19º
Step-by-step explanation:
Use the Pythagorean Theorem
a² + b² = c²
c² = 8.9² + 3.1²
c² = 79.21 + 9.61
c² = 88.82
Take the square root of both sides
c = 9.4244363227
Rounded
Hyp = 9.42
--------------------
sin = opp/hyp
sinR = 8.9 / 9.42
R = arcsin(8.9/9.42)
R = 70.873645608345649
Rounded
R = 71º
------------------------
S = Unnamed angle
S = 180 - 90 - 71
S = 19º
Related Questions
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
Answers
Bc if u go to college and take a more advanced math and your 18-19 when u graduate high school and people may take a break or look for a job then apply then u would be around 21.5
(Precalc/Trig) Please help! Find the value of this expression (in photo)
Answers
Answer:
The exact value is 3
Step-by-step explanation:
1. You simplify the equation by factoring 2 from the first two terms
2. Apply Pythagorean to make the equation 2 * 1 + csc^2(π/5) - cot^2(π/5)
- Then apply Pythagorean again to make the equation 2 * 1 + 1
3. Simplify and you get 3
Hope this helps :)
Fill in the blank. Using the number line below, the plotted number is when rounded to the nearest ten.
Answers
The equation y = 7.25x models the amount in dollars, that Lisette earns per hour at her part-time job. The table
shows the amount that Nataly earns at her job.
Hours | Total Pay
2 - $14.70
3 - $22.05
7 - $51.45
What is the difference in the amounts earned per hour?
Answers
Answer:
as the amount of hours increases, the earned amount of $ decreases by .10
Step-by-step explanation:
A line goes through the points (0, -2) and (5, 18). What is the slope of the line?
Answers
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]Work out the size or angle X
Answers
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 :) !!!
Let f(x) = x – 5 and g(x) = 3x – 7. Find f(x) + g(x).
Show your work
Answers
Answer:
4x+2
Step-by-step explanation:
When you try to evaluate the expression f(x) + g(x). You just evaluate the problem x-5+3x-7.
When it as been evaluated you will get 4x+2
Can someone do 11-12?
Answers
Select the system that has a solution of (-3,2)
Please help, I’ll mark as Brainliest!
Answers
Answer:
Yoda's always right
Step-by-step explanation:
Farmer Brown grows corn on his 110 acre farm. The yield for his farm is 17,600 bushels of corn. Farmer Diaz grows wheat on his farm. He plants 250 acres of wheat and has a yield of 13,750 bushels. What is the difference in the density per acre of the wheat and the corn?
A.35
B.105
C.140
D.3850
Answers
Answer:
Difference of density per acre of wheat and corn = 105
Step-by-step explanation:
Given:
Yield in 110 acre farm = 17,600 Bushes of corn
Yield in 250 acre farm = 13,750 Bushes of wheat
Find:
Difference of density per acre of wheat and corn
Computation:
Yield per acres Bushes of corn = 17,600 / 110
Yield per acres Bushes of corn = 160
Yield per acres Bushes of wheat = 13,750 / 250
Yield per acres Bushes of wheat = 55
Difference of density per acre of wheat and corn = Yield per acres Bushes of corn - Yield per acres Bushes of wheat
Difference of density per acre of wheat and corn = 160 - 55
Difference of density per acre of wheat and corn = 105
Alberto ran at a speed of 3 m/hr. After he ran 6 miles, Omar ran in the same direction with a speed of 4.6 m/hr.
How many hours will it take Omar to catch up to Alberto.
Answers
Answer:
1.3 Hours (1 Hour and 18 Minutes)
Step-by-step explanation:
It took Alberto 2 hours because he ran 3 miles an hour and the total distance he ran was 6 miles.
Now, you have to divide 6 (Alberto's distance) by 4.6 (Omar's rate) and you get 1.3043.
Round the answer to get 1.3
Answer: jjijmjn
Step-by-step explanation:
Which graph shows a dilation?
Answers
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.
If you were the number keep 660 times how many times will you likely roll a two or five
Answers
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
answer #1 plzzzzzzzz
Answers
Answer:
Hey Jalynn Corona,
the answer is B.look at the picture i have sent
pls help me (make it into a proportion)
Answers
Answer:
4/100 = x/50
Step-by-step explanation:
inches on top miles on bottom
Consider the following functions. (See attachment)
Find the area of the region.
Answers
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 the solution set of 1/3x-4≤ 2+x
Answers
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]
Need help on this one plz
Answers
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.
Y'ALL PLEASE HELP ME I REALLY NEED HELP!!!
ALL LINKS WILL BE DELETED !!
Which congruence statement correctly compares the two triangles shown? Question options:
A) ΔADB ≅ ΔBCD
B) ΔABD ≅ ΔCDB
C) ΔDBA ≅ ΔDBC
D) ΔABD ≅ ΔBDC
Answers
Answer:
c
Step-by-step explanation:
ΔABD is congruent with ΔCDB.
Option B is the correct answer.
What is a triangle?It is a two-dimensional figure which has three sides and the sum of the three angles is equal to 180 degrees.
We have,
A figure that contains two triangles.
Two triangles ΔABD and ΔCDB
AB = CD (given)
BAD = DCB (given)
AD = CB (given)
By SAS rule
ΔABD ≅ ΔCDB
Thus,
ΔABD ≅ ΔCDB
Learn more about triangles here:
https://brainly.com/question/25950519
#SPJ2
In the diagram, the sum of the values of r and z is 116.
bo/20
xo
What is the value, in degrees, of y?
Enter a number in the space provided.
Answers
Answer: 122 degrees
Step-by-step explanation:
Don’t feel like explaining.
Determine the value of X in the given figure.
please help me.
Answers
Answer:
x = 25
Step-by-step explanation:
Angles in a triangle add up to equal 180
Thus, 180 = 27 + 53 + 4x
We now solve for x
step 1 combine like terms
27 + 53 = 80
we now have 180 = 80 + 4x
step 2 subtract 80 from each side
180 - 80 = 100
80 - 80 cancels out
we now have 100 = 4x
step 3 divide each side by 4
4x / 4 = x
100 / 4 = 25
we're left with x = 25
R and S are two observation posts on the same horizontal ground as the foot P of a vertical tower PQ The tower is 18m due north of S and 24m east of R. The angle of elevation of Q from S is 35°.Calculate the height PQ.
Answers
Answer: [tex]12.6\ m[/tex]
Step-by-step explanation:
Given
Distance of Point S is 18 m from tower
Distance of point R is 24 m form tower
Suppose the height of tower PQ is h
angle of elevation of Q from S is [tex]35^{\circ}[/tex]
from the figure, we can write
[tex]\Rightarrow \tan 35^{\circ}=\dfrac{h}{18}\\\\\Rightarrow h=18\tan 35^{\circ}\\\Rightarrow h=12.60\ m[/tex]
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?
Answers
Step-by-step explanation:
eyeyeyeyeyyeyeyeyeeyeyeueueuryryru
Please help! I will give Brainliest!
Answers
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%
I need help I’m not totally understand what to do
Answers
Answer:
c ------ 1/3(40) ft^3
Step-by-step explanation:
searched the formula for volume of a cylinder
2sqroot97x
Which value of x makes the expression above equivalent to 20 sqroot97? pls provide a step by step explanation (:
Answers
Answer:
A
Step-by-step explanation:
PLEASE HELP!
can you help me with these math questions im struggling on :,)?
Answers
Answer:
Step-by-step explanation:
Multiply by 2
60=70-h I can't seem to find my answer and it a bit hard
Answers
Answer:
10
Step-by-step explanation:
We need to solve the equation . The equation is z
→ 60 = 70 - h
Subtracting 70 both sides .→ 60 - 70 = 70 - h - 70
→ -10 = -h
Dividing both sides by -1 .→ -h/-1 = -10/-1
→ h = 10
• Hence the value of h is 10 .Find the area of the circle.
Use 3.14 for pi
d = 10 cm
A = [?] cm2
A=Pi r2
Answers
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 :)
please solve this simple equation: a+3=−3
Answers
Step-by-step explanation:
a+3=−3
a=-6
!!!!!!!!!!!!!
Answer:
A= -6
Step-by-step explanation:
A+3=-3
A= -3 -3
A= -6