In ΔDEF, d = 6.4 inches, e = 7.8 inches and ∠F=33°. Find the length of f, to the nearest 10th of an inch.
Answers
9514 1404 393
Answer:
4.3 in
Step-by-step explanation:
The Law of Cosines is applicable when you have two sides and the angle between them. The third side satisfies ...
f² = d² + e² -2de·cos(F)
f² = 6.4² + 7.8² -2·6.4·7.8·cos(33°) ≈ 18.0671
f ≈ √18.0671 ≈ 4.2505
The length of f is about 4.3 inches.
Related Questions
What is the value of 0.1562 rounded to the nearest hundredth place?
Answers
Answer:
0.16
Step-by-step explanation:
3x - 6 less than or equal to -3 on a graph
Answers
Carter and his children went into a bakery where they sell cupcakes for $3 each and
cookies for $0.50 each. Carter has $35 to spend and must buy a minimum of 15
cupcakes and cookies altogether. If x represents the number of cupcakes purchased
and y represents the number of cookies purchased, write and solve a system of
inequalities graphically and determine one possible solution. (I need 2 inequality’s)
Answers
3x + 0.5y = 35
x + y >/= 15
Possible solution: (11, 4)
11 cupcakes, 4 cookies
____________
Cupcakes = x
Cookies = y
Cupcakes are $3 each —> 3x
Cookies are $0.50 each —> 0.5y
$35 to spend: less than or equal to =
3x + 0.5y = 35
Minimum of 15: greater than or equal to >/= 15
x + y >/= 15
____________
3x + 0.5y = 35
x + y >/= 15
Solve second for y:
y >/= 15 - x
Substitute into first:
3x + 0.5(15 - x) = 35
3x + 7.5 - 0.5x = 35
Combine like terms
2.5x + 7.5 = 35
Subtract 7.5
2.5x = 27.5
Divide by 2.5
x is less than or equal to 11
So y is less than or equal to 4
Check:
4 + 11 = 15 :)
3*11 + 0.5*4 = 35
33 + 2 = 35
35 = 35 :)
There are 115 students in a music club 73 of them are girls what is the ratio of the number of boys and girls
Answers
Answer:
73:42
Step-by-step explanation:
1115-73=42
G : B
73 : 42
How long does it need to keep $600 in an account that pays 2.75% annual simple interest to earn $264?
Answers
Answer:
16 years
Step-by-step explanation:
Principal amount (P) = $600
Rate of interest (R) = 2.75%
Simple interest (S.I.) = $264
Let t denotes time period.
[tex]S.I.=\frac{PRT}{100}[/tex]
[tex]264=\frac{600(2.75)t}{100} \\\\t=\frac{264(100)}{600(2.75)}[/tex]
[tex]t=16[/tex] years.
Therefore,
interest of $264 will be earned in 16 years.
Kaytelyn makes $10 an hour and receives weekly bonus of $25. How many hours dose she need to work this week to make more than $250
Answers
Answer:
$22.5
Step-by-step explanation:
[tex]250\leq 10x +25\\225\leq 10x\\x\geq 22.5[/tex]
PLEASE HELP ASAP Will MAKE BRAINLIST
Answers
Answer:
The second answer is correct
When Sally was a Freshman, her soccer team had 13 players. By her senior year, Sally’s soccer team grew to 17. What is the percent increase?
Answers
Answer:
about 31 percent
Step-by-step explanation:
The Beechcraft 1900D is a commuter airplane with a fuel capacity of 665 gallons. The function that represents how the amount of fuel changes as a function of distance flown is f(x)=−0.9x+665, where x represents miles flown, and f(x) represents the amount of fuel remaining. What is the rate of change for this scenario?
Answers
Given:
The function that represents how the amount of fuel changes as a function of distance flown is
[tex]f(x)=-0.9x+665[/tex]
where x represents miles flown, and f(x) represents the amount of fuel remaining.
To find:
The rate of change for this scenario.
Solution:
The slope intercept form of a linear function is
[tex]y=mx+b[/tex] ...(i)
Where, m is the slope or rate of change and b is the y-intercept.
We have,
[tex]f(x)=-0.9x+665[/tex] ...(ii)
On comparing (i) and (ii), we get
[tex]m=-0.9[/tex]
Therefore, the rate of change for this scenario is -0.9. It means, the amount of fuel in the airplane is decreasing by 0.9 gallons per mile.
Select all that apply.
Which of the following are proportions?
Answers
Answer:
A, C and D
Step-by-step explanation:
both A, C and D are both porportions because they both equal the other fraction.
Answer:
1, 3, 4
Step-by-step explanation:
i had this on my test- im doing it rn.
The population of a city decreases by 1.6% per year. If this year's population is 320,000, what will next year's population be, to the nearest individual?
Answers
Answer:
314,880
Step-by-step explanation:
If the population decreases by 1.6% per year, this means the population is 98.4% of the population of the previous year. What this means is we can multiply the current population, 320,000, by 98.4/100, as 98.4/100 is equivalent to 98.4%. This gets us 314,880.
Answer:
314880
Step-by-step explanation:
What is the y-intercept of y=5x-2
Answers
Answer:
the y intercept is -2
Step-by-step explanation:
the y intercept is always the value on the end
Answer slope-intercept form is y = mx+ b y = m x + b, where m m is the slope and b b is the y-intercept. y = mx +b y = m x + b Find the values of m m and b b using the form y = mx+b y = m x + b.
Step-by-step explanation:
In the figure shown below, line “m” and line “n” are parallel what is the value of x?
Answers
Answer:
x = 20°
Step-by-step explanation:
3x - 10° + 5x + 30° = 180° { being co-interior angles }
8x + 20 ° = 180°
8x = 180° - 20°
8x = 160°
x = 160° / 8
x = 20°
What is the measure of arc AC? Pls explain and I will mark brainliest!
Answers
Answer:
D. 146°Step-by-step explanation:
Arcs in the circle sum to 360°
Arc AB = 2*∠C = 2*(48°) = 96°Arc BC = 138° - givenArc AC = 360° - (96° + 118°) = 146°5692 in standard form
Answers
Answer:
5.692 × 103.
Step-by-step explanation:
Answer:
5.692 × 10^3
Step-by-step explanation:
hope it helps you
Someone please helppppp!
Answers
Answer:
AB=24.5
Step-by-step explanation:
5x+7=7x
7=2x
x=3.5
7(3.5)=24.5
A community service club has 12 seventh-graders and 12 eight-graders. The name of each student is put in a hat, and a name is drawn at random. Which number or number range describes the probability that the student selected is a seventh-grader
Answers
Answer:
1/2
Step-by-step explanation:
12 out of 24 is 1/2
Solve the linear system by graphing
y=x+2 and y=-6x+9
Answers
Answer:
(1, 3)
General Formulas and Concepts:
Algebra I
Coordinates (x, y)Reading a Cartesian (Rectangular) planeSolving systems of equations by graphingStep-by-step explanation:
Where the 2 lines intersect will be the solution set to the systems of equations.
If the lines are parallel, they will have no solution.
If the lines are the same, they will have infinite amount of solutions.
Which equation represents circle A?
(x – 4)2 + (y + 5)2 = 12
(x + 4)2 + (y – 5)2 = 12
(x – 4)2 + (y + 5)2 = 36
(x + 4)2 + (y – 5)2 = 36
Answers
Answer:
c on edge
Step-by-step explanation:
just took the quiz
The equation representing the circle A is (x – 4)² + (y + 5)² = 36.
What is circle?A circle is a spherical shape without boundaries or edges. A circle is a closed, curved object with two dimensions in geometry.
The general equation of circle is given by equation
( x - h )² + ( y - k )² = r²
Where, ( h, k ) is the centre and 'r' is the radius.
As, the circle has a shift of 4 units on the +x axis.
The circle has a shift of the 5 units on the -y axis.
As, the circle has a radius of 6 units from the graph.
So, (h,k) = (4, -5).
Substitute the values of (h,k) in the general equation of the circle.
( x - 4 )² + ( y - (-5) )² = 6²
( x - 4 )² + ( y + 5 )² = 36
Therefore, the equation of circle becomes ( x - 4 )² + ( y + 5 )² = 36.
To know more about the general form of equation of circle, here
https://brainly.com/question/1506955
#SPJ2
This parallelogram has 4 equal angles, but
not 4 equal sides. What is its name?
Answers
Answer:
It's a Rhombus!
Use the square root property to solve: 5x^2+8 =133
Please help
Answers
Answer:
x = ± 5Step-by-step explanation:
See the steps
5x^2+8 = 1335x^2 = 133 - 85x^2 = 125x^2 = 125/5x^2 = 25√x² = √25x = ± 5Answer:
x=5
x=−5
Step-by-step explanation:
5x^2+8 =133
Subtract 8 from both sides.
5x^2=133−8
Subtract 8 from 133 to get 125.
5x^2=125
Divide both sides by 5.
x^2=125/5
Divide 125 by 5 to get 25.
x^2=25
Take the square root of both sides of the equation.
x=5
x=−5
answer please i really need help if you get it right you get brainlyest
Answers
Expression that is equivalent to (b^10) ( b^2)in the form of b^m
Answers
Answer:
b^12
Step-by-step explanation:
Multiply b^10 by b^2 by adding the exponents.
b^12
What is the missing value of 5x-2y=30 (8,)
Answers
Answer:
In this equation, we can start by understanding that "x" has a value of 8, as given in the ordered pair. When multiplied by 5, this leads to "40 - 2y = 30". Next, we can subtract 40 from both sides of the equation. This leads us to a value of "-2y = -10". The next step would be to divide both sides by -2 as a way of isolating "y", which leads us to a final value of "y = 5". The final ordered pair would be (8,5).
Leila bought lunch at school. She had a sandwich and a shake that cost her $8. Her shake cost
$3.75. Solve the equation 8 =s +3.75 to find the cost of Leila's sandwich, s.
Answers
Answer: I think that the sandwich is $4.25 (I'm not sure)
Answer:
s=4.25
Step-by-step explanation:
look at the screenshot for the steps! :)
HELP 10 POINTS ===== NEED HELP NOW
Answers
Which expression is equivalent to 10^4/5^4 ?
Answers:
a) 1/2^-4,
b) 2^0,
c) 1/2^4,
d) 2
Answers
10/5 is 2 and the exponents will cancel out.
Victor drew a square with vertices at (1,2), (3,2), (3,4), and (1,4). He slides the square 5 units up to create an image. What are the vertices of the image? (1,7), (3,7), (3,9), and (1,9) (6,2), (8,2), (8,4), and (6,4) (1,-2), (3,-2), (3, -4), and (1,-4) (1,-3), (3,-3), (3, -1), and ( 1,-1)
Answers
Answer:abcd
Step-by-step explanation:
"If a point (x, y) is shifted 'h' units upwards, coordinates of the image point will be",
(x, y) → (x, y + h)
If the vertices of a square are,
A(1, 2), B(3, 2), C(3, 4), D(1, 4)
If these vertices are shifted 5 units upwards, then the coordinates of the vertices of the image will be,
A(1, 2) → A'(1, 2+5)
→ A'(1, 7)
B(3, 2) → B'(3, 2+5)
→ B'(3, 7)
C(3, 4) → C'(3, 4+5)
→ C'(3, 9)
D(1, 4) → D'(1, 4+5)
→ D'(1, 9)
Therefore, Option (A) will be the answer.
Learn more,
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The local newspaper has letters to the editor from 80 people. If this number represents 5 % of all of the newspaper's readers, how many readers does the newspaper have?
Answers
Answer:
The newspaper has 1,600 readers.
-2(v - 2) = -3 – 2v
Answers
Answer:
no solution
Step-by-step explanation:
Given
- 2(v - 2) = - 3 - 2v ← distribute left side
- 2v + 4 = - 3 - 2v ( subtract 4 from both sides )
- 2v = - 7 - 2v ( add 2v to both sides )
0 = - 7 ← not possible
This indicates the equation has no solution