In ΔFGH, f = 830 inches, g = 460 inches and h=500 inches. Find the measure of ∠H to the nearest degree.
Answers
Answer:
32 degrees
Step-by-step explanation:
The law of cosines can be used for this:
h^2 = f^2 +g^2 -2fg·cos(H)
cos(H) = (f^2 +g^2 -h^2)/(2fg)
cos(H) = (650,500/763,600)
H = arccos(6505/7636) ≈ 31.5826°
Related Questions
ANSWER FAST PLZ I REALLY NEED HELP :(
Mr. Wiley averages 12 mph when his boat is in still water. One day he goes 12 miles upstream and the same distance back. The round-trip takes two hours and 15 minutes. What is the speed of the current on that day?
Answers
Answer:
4 mph
Step-by-step explanation:
The current subtracts from the boat speed going upstream, and add going downstream. The relation between speed, distance, and time is ...
time = distance/speed
2 1/4 = 12/(12 -c) + 12/(12 +c) . . . . . round trip time is the sum of the trip times
9/4(12 +c)(12 -c) = 12(12 +c) +12(12 -c) . . . . multiply by (12 +c)(12 -c)
144 -c^2 = 128 . . . . . . multiply by 4/9 and simplify
16 = c^2 . . . . . . . . . add c^2 -128
c = 4 . . . . . . . . . positive square root
The current was 4 mph that day.
The side lengths of a triangle are 12, 14, and x units
Answers
Answer: x=14
Step-by-step explanation: have a good day
Using the picture below, which angle is alternate exterior to angle 2?
Answers
Answer:
alternate exterior means outside of the two parallel lines so your answer is 7 because alternate means other side of transversal
In the equation "y=mx+b" to find the answer do you have to multiply m and x then add b?
Answers
Answer: no.
Explanation:
As an example, let's use y=2/3x-8.
In this formula, the 2/3 before the x I the slope of the problem. The -8 would be the y-intercept. You use this formula to find both of those to graph a line, you do not multiply the slope and the x together.
find the missing value y=-2+4
Answers
Answer:
y = 2
Step-by-step explanation:
Write the following statements in the form of equations.
c. One third of a number plus 7 is 26.
Answers
Answer:
Brainless please?
Step-by-step explanation:
1/3x +7=26
Write... the number 7 as a fraction with the denominator 3.
Answers
Answer:
[tex]\huge\boxed{7=\dfrac{21}{3}}[/tex]
Step-by-step explanation:
[tex]7=\dfrac{7}{1}=\dfrac{7\cdot3}{1\cdot3}=\dfrac{21}{3}[/tex]
Answer:2[tex]\frac{0.3}{3}[/tex]
Step-by-step explanation:
Please help
Me solve this ASAP
Answers
Answer:
i dont know it looks complicated
Step-by-step explanation:
copy paste then search it, you might find it.
There are 24 female performers in a dance recital. The ratio of men to women is 3:8. How many men are in the dance recital? There are men in the dance recital.
Answers
Answer:
9 men
Step-by-step explanation:
men: women : total
3 8 3+8
3 8 11
There are 24 women
24/8 = 3
Multiply each term by 3
men: women : total
3*3 8*3 11*3
9 24 33
There are 9 men at the recital
8:3
8x = 24(3)
8x = 72
x = 9
there are 9 men
A recipe for apple crisp uses 4 parts oats,8 parts brown sugar,and 10 parts flour. In simplest form,how many parts of brown sugar are there for every part of flour?
A.4/5
B.1/2
C.2/5
D.1/4
Answers
Answer:
A.) 4/5
Step-by-step explanation:
Another fraction that's not on there that is correct is 8/10
what is the answer to 'Which problem would be solved using multiplication, and what is the solution to the problem?'
Answers
Answer:
Jim is 12 years old. Anna is 3 times older than Jim. Calculate Anna’s age using multiplication.
Step-by-step explanation:
The problem above is solved by using multiplication and the solution to the problem is 36.
you multiply 12 * 3 and you get 36.
hope that helps!
The product of w and 2 is greater than or equal to 19.
Answers
Equation Form:
w x 2 [tex]\geq[/tex] 19
Divide both sides by 2:
w [tex]\geq[/tex] 9.5
So, w must be equal to or greater than 9.5 for this equation to work.
WHAT IS 12+23+67+10+19+60=
Answers
Answer:
The answer is 191.
Hope that helps. x
Answer:
191
Step-by-step explanation:
12+23=35
67+10=77
19+60=79
Now let's add all three numbers
35+77+79=191
Hope this helps!
Roman has 2 red pencils in his backpack if this is 25% of the total number pencils how many pencils are in his backpack
Answers
Answer:
8 pencils
Step-by-step explanation:
if 2 red pencils are 25% of his number of pencils then multiply 2 by 4
because 25x4=100
so 2x4=8
Roman has 8 pencils in his bag
2x4= 8
Roman has 8 pencils
A barrel contained 100 gallons of water. Water leaked out of the barrel at a rate of 4 gallons every
5 days. At this rate, how many days did it take for all 100 gallons of water to leak out of the
barrel?
H 20 days
E 125 days
F 25 days
L 80 days
Answers
Answer: It will take 125 day
Step-by-step explanation: 100 divide by 4 = 25 and 25 x 5 = 125
The Kennedy High School band has 117 members. The band
director is planning rectangular formations for the band.
What formations could he make with all the band members?
Answers
Answer:
1×117, 3×39, 9×13, 13×9, 39×3, 117×1
Step-by-step explanation:
The prime factorization of 117 is ...
117 = 3²·13
Divisors of 117 are 1, 3, 9, 13, 39, 117. Possible formations would be ...
1×117, 3×39, 9×13, 13×9, 39×3, 117×1
solve 5/4 × (− 9/2 )
Answers
Answer:
-40/8= -5
Step-by-step explanation:
Multiply the top to get -40 then the bottom to get 8. When you simplify, you get -5.
Answer:
-5.625
Step-by-step explanation:
5/4 × (-9/2)
=5×(-9)/4×2
=-45/8
=-5.625
Simple true or false...
d/dx{x^3e^x]=x^3e^x(3x+2)
True or false
Answers
Answer:
False.
General Formulas and Concepts:
Algebra I
Terms/Coefficients
FactoringCalculus
Differentiation
DerivativesDerivative NotationDerivative Rule [Basic Power Rule]:
f(x) = cxⁿf’(x) = c·nxⁿ⁻¹Derivative Rule [Product Rule]: [tex]\displaystyle \frac{d}{dx} [f(x)g(x)]=f'(x)g(x) + g'(x)f(x)[/tex]
Step-by-step explanation:
Step 1: Define
Identify.
[tex]\displaystyle \frac{d}{dx}[x^3e^x][/tex]
Step 2: Differentiate
Derivative Rule [Product Rule]: [tex]\displaystyle \frac{d}{dx}[x^3e^x] = \frac{d}{dx}[x^3]e^x + x^3 \frac{d}{dx}[e^x][/tex]Derivative Rule [Basic Power Rule]: [tex]\displaystyle \frac{d}{dx}[x^3e^x] = 3x^2e^x + x^3 \frac{d}{dx}[e^x][/tex]Exponential Differentiation: [tex]\displaystyle \frac{d}{dx}[x^3e^x] = 3x^2e^x + x^3e^x[/tex]Factor: [tex]\displaystyle \frac{d}{dx}[x^3e^x] = (x^3 + 3x^2)e^x[/tex]∴ [tex]\displaystyle \frac{d}{dx}[x^3e^x] \neq x^3e^x(3x + 2)[/tex] but [tex]\displaystyle \frac{d}{dx}[x^3e^x] = (x^3 + 3x^2)e^x[/tex].
Topic: AP Calculus AB/BC (Calculus I/I + II)
Unit: Differentiation
Test the following point in the inequality
-2x – 3y < 15 Test ( 6 , -10 ) Please help with this
Answers
Angle C is 60 degrees and angle CAB is 78 we need to find angle DAB
Answers
Answer:
∠ DAB = 48°
Step-by-step explanation:
The sum of the 3 angles in Δ ACD = 180° , then
∠ CAD + 60° + 90° = 180° , that is
∠ CAD + 150° = 180° ( subtract 150° from both sides )
∠ CAD = 30°
Then
∠ DAB + ∠ CAD = ∠ CAB
∠ DAB + 30° = 78° ( subtract 30° from both sides )
∠ DAB = 48°
Which 2 values are greater than 3/5?
1/4
0.68
2/3
0.599
1/2
Answers
The answer is 0.68 and 2/3
Hoped that helped
What is the range of the relation?
Question 9 options:
{–4, –2,–1, 2}
{–4, 4}
{–3, –2, 0, 2}
{–4, –2, –1, 0, –2}
Answers
Answer:
{- 3, - 2, 0, 2 }
Step-by-step explanation:
The range is the y- coordinates of the points
(- 4, - 3 ) , (- 1, - 2 ) , (- 2, 0 ) , (0, 2 )
The y- coordinates are - 3, - 2, 0, 2
Then the range is { - 3, - 2, 0, 2 }
Which equation represents a line which is parallel to the line y = -7/2x-3
Answers
You do not have the options listed, but I will tell you what the line needs:
[] A parallel line will need the same slope.
- The slope is our m in y = mx + b
[] What will this be for our problem:
- [tex]y=\frac{-7}{2}x-3[/tex]
- Our slope is [tex]\frac{-7}{2}[/tex]
[] So what will the line look like:
- [tex]y=\frac{-7}{2}x +?[/tex]
- Since you do not have the options listed, I cannot tell you the answer, but I can tell you the answer will have a slope of [tex]\frac{-7}{2}[/tex]
Have a nice day!
I hope this is what you are looking for, but if not - comment! I will edit and update my answer accordingly. (ノ^∇^)
- Heather
ann works in a supermarket for $10.00 per hour. she received a raise to $12.00 . What is the percent of change in her hourly wage?
Answers
Answer
20%
Step-by-step explanation:
10.00 is the start wage, 12.00 is the new wage
going from 10 to 12 dollars is a 2 dollar increase
2 dollars is 20% of her original salary, so she is now making 120% of what she previosuly made which is a 20% increase
Find the difference between 1/6 and 1/2
Answers
Answer:
1/3 OR -1/3
Step-by-step explanation:
1/2 - 1/6 = ?
3/6 - 1/6 = 2/6
2/6 = 1/3
OR
1/6 -1/2 =?
1/6 - 3/6 = -2/6
-2/6 = -1/3
Find the sum.
(7y+7)+(3m−3)+(8x+8)
Thanks!
Answers
if any doubt leave a comment
Find the LCM of 14 and 18 using prime factorizations.
Answers
Answer:
126
Step-by-step explanation:
14 = 2 * 7
18 = 2 * 3 * 3
Take any factors they both have and use that number only once (2)
Then multiply together: 2 * 7 * 3 * 3 = 126
Plz Help!! 15 POINTS!
MY MATH EXAM IS TOMORROW AND I NEED HELP!
Jules has a watch pedometer which counts how many steps (S) he walks in a day. He has measured his step length as 0.7m.
Draw a conversion graph of the distance walked (L) against S to convert up to 10000 steps into metres.
Answers
Answer:
see attached
Step-by-step explanation:
Each step is 0.7 m, so 10,000 steps will be 0.7(10,000 m) = 7,000 m. Of course 0 steps is 0 meters, so the graph is a straight line with a slope of 0.7.
Two fractions in the middle of 1/4 and 3/4
Answers
2/4 = 0.5 and 3/5 = 0.6 and both these numbers are in between 1/4 = 0.25 and 3/4 = 0.75
May I please receive help?
Answers
Answer:
Length of the shadow = 20.5 cm
Step-by-step explanation:
Given the 32-meter height of a tall building, and its casted shadow of 38 meters, we can find the unknown length of the shadow by using the Pythagorean Theorem.
Definition:The Pythagorean Theorem states that the squared length of the hypotenuse of a right triangle is equal to the sum of the squared lengths of the legs.
The algebraic representation of the Pythagorean Theorem is:
c² (hypotenuse) = a² (leg₁) + b² (leg₂)
SolutionTo solve for the given problem:
Let c = 38 m (distance from the top of the building to the tip of the shadow)
a = unknown length of the shadow
b = 32m (height of the building)
Since we have to solve for the value of a (unknown length of the shadow), we must algebraically solve for a:
c² = a² + b²
Subtract b² from both sides:
c² - b² = a² + b² - b²
a² = c² - b²
Substitute the given values into the formula for solving a :
a² = c² - b²
a² = (38)² - (32)²
a² = 1444 - 1024
a² = 1444 - 1024
Next, take the square root of both sides to solve for a:
[tex]\displaystyle\mathsf{\sqrt{(a)^2}\:=\:\sqrt{420}}[/tex]
a = 20.49 or 20.5 cm
Therefore, the length of the shadow is 20.5 cm.