Answers
Answer:
The measure of angle F is 67.6°
Step-by-step explanation:
In the right triangle DEF
∵ ∠E is the right angle
∵ Side DF is opposite to ∠E
∴ DF is the hypotenuse of the triangle DEF
∵ Side EF is the adjacent side of ∠F
∵ The cosine ratio = [tex]\frac{Adjacent}{Hypotenuse}[/tex]
∴ cos∠F = [tex]\frac{EF}{DF}[/tex]
∵ EF = 8 units
∵ DF = 21 units
→ Substitute them in the cosine ratio above
∴ cos∠F = [tex]\frac{8}{21}[/tex]
→ Use [tex]cos^{-1}[/tex] to find the measure of angle F
∵ m∠F = [tex]cos^{-1}(\frac{8}{21})[/tex]
∴ m∠F = 67.60731219 degrees
→ Round it the nearest tenth of a degree
∴ m∠F = 67.6°
∴ The measure of angle F is 67.6°
Related Questions
simplify 8r - 3j + 9j - 2r
Answers
Answer:
6j + 6r :)))))))))))))))))
Answer:
6j + 6r
Step-by-step explanation:
Add the equation u-v/8v + 6u-3v/8v
Answers
Answer:
7u-4v/8
Step-by-step explanation:
u+6u=7u
-v+(-3v)=-v-3v=-4v
7u-4u/8
Please help and explain process too. Thank you!!
Answers
x^3 = 0.008
solve for x
Answers
Answer:
x= 0.2
Step-by-step explanation:
Shari and Ana are playing games at an arcade. Shari has $37.50 and is playing $0.50 games. Ana has $42.75 and is playing $0.75 games. Sandor wants to know when Shari and Ana will have the same amount of money remaining. So he wrote and solved this equation.
Let x = number of games played.
Equation: 37.50 – .5x = 42.75 – .75x
Step 1: 37.50 – 1.25x = 42.75
Step 2: – 1.25x = 5.25
Step 3: – 4.2 = x
Sandor knows his answer is incorrect because a negative number of games cannot be played. What was Sandor’s mistake?
The variable x should represent the amount of money left.
The equation should have sums on both sides.
In step 1, he should have added .75x to both sides.
In step 3, he should have added 1.25x to both sides.
Answers
[tex]37.50-0.5x=42.75-0.75x\\37.50-0.5x+0.75x=42.75\\37.50-0.25x=42.75\\0.25x=42.75-37.50\\0.25x=42.75-37.50\\0.25x=5.25\\x=\frac{5.25}{0.25} \\x=21\\\\x=21 grams[/tex]
PLEASE MARK ME AS BRAINLIEST
Answer:
its c
Step-by-step explanation:
4x + y = 20
y = 3x – 2
Is (3,8) a solution to the system? Explain.
Answers
Answer:
It's the solution for the first one, but not the second one
Step-by-step explanation:
(3,8) (x,y)
The first one works, because it does equal 20
4*3= 12+8= 20
The second one does not work, because it equals 7 and not 8
3*3= 9-2= 7
1 Fie mulțimea de numere reale: A={5;-3,1(7);-3; 2,8; 213; -49}.
Determinați mulțimea AZ.
Determinați mulțimea A(R-Q).
Ordonați crescător elementele mulțimii A.
Answers
Answer:
j is the answer
Step-by-step explanation:
thats correct
can someone help answer this?
Answers
9√2 is squared first.
so its 162.
now according to Pythagoras theorem,
x2+x2=162
2x^2= 162
x^2= 162÷2
x^2= 81
x= √81
x=9
in a right angled triangle, (height)^2 + (base)^2 = (hypotenuse)^2
here we have , height as X and base as X too , so; x^2 + x^2 = (9√2)^2
2(X)^2 = 162
x^2 = 162/2
X^2 = 81
X = √81 = 9
what polynomial function has the zeros -3,1,5
Answers
Answer:
x³ - 3 x² - 13 x + 15 = 0
Step-by-step explanation:
Basically you can create three factors like this:
(x+3)(x-1)(x-5)=0
That will each represent one zero.
Work it out and you get x³ - 3 x² - 13 x + 15 = 0
If I make $1,000 per minute how much time will it take to make $1,000,000?
Answers
Answer:
it would take 1,000 minutes
Step-by-step explanation:
1,000,000/1,000=1,000
Answer: I think it’ll take 1,000 minutes
Step-by-step explanation:
If you multiply 1,000 and 1,000 it’ll equal 1 million.
Hoped this helps.
use the multiples method to find Least common denominator , then find the sum or difference , please help me understand dis ill mart brainliest
Answers
Answer:
25/28
Step-by-step explanation:
3/4+1/7
21+4/28
25/28
Which graph represents a system of equations with one solution?
Answers
This graph represent a system of equation with one solution. The blue point is the solution.
Hope this helps ^◇^
Write this percentage as a fraction in its simplest form.
46%
Answers
Answer:
23/50
Step-by-step explanation:
46% is the same as 46/100 that can be simplified to 23/50
The percentage 46% as a fraction in its simplest form is 23/50.
The given fraction is 46%.
Percentage is defined as a given part or amount in every hundred. It is a fraction with 100 as the denominator and is represented by the symbol "%".
The percentage can be written in fraction by dividing the number by 100.
Here, 46% = 46/100
= 23/50
Therefore, the percentage 46% as a fraction in its simplest form is 23/50.
To learn more about the percentage visit:
brainly.com/question/24159063.
#SPJ6
The sales tax rate is 4%. If Xavier buys a balance beam priced at $687 ,how much tax will he pay?
Answers
Answer:
$27.48
Step-by-step explanation:
687*0.04 which is $27.48
Hope this helps plz hit the crown :D
Answer:
27.48
Step-by-step explanation:
687 x .04 = 27.48
John walks m miles each week. Marie’s distance can be found by using the expression : 3m + ½
If John walks 7 miles in one week, how many miles does Marie walk?
Answers
Answer:
21.5 Miles or 21 ½ Miles
Step-by-step explanation:
Plug in 7 as m to 3m + ½.
Then, I get 3(7) + ½.
That concludes to 21 + ½
Add the ".5" or "½" at the end
So, answer is you get is 21.5 of 21 ½
A 3.0 kg book sits on a very high shelf 4.5 meters above the ground. Calculate the potential energy of the book.
Answers
MASS=3
GRAV=9.8
HEIGHT=4.5
3*9.8*4.5=132.3
POTENTIAL ENERGY= 132.3
If two right triangles each have a 45° angle, then the
triangles must be-
Answers
The ages of Aman and Arun are in the ratio 5:7. Four years later the sum of their ages will be 56 years. What are their present ages
Answers
Answer:
Aman's age = 20, Arun's age = 28
Step-by-step explanation:
Let [tex]x[/tex] = Aman's age
Let [tex]y[/tex] = Arun's age
- - - -
[tex]x+4+y+4=56[/tex] (Sum of their age is 56 after 4 years in the future)
[tex]x+y+8=56[/tex]
[tex]x+y=48[/tex]
[tex]\frac{x}{y} = \frac{5}{7}[/tex] (Ages are in the ratio 5:7)
[tex]x=\frac{5}{7}y[/tex]
Now, we can use substitution to find for Arun's age:
[tex]x+y=48[/tex]
[tex]\frac{5}{7}y+y=48[/tex]
[tex]\frac{12}{7}y=48[/tex]
[tex]y=28[/tex]
∴ Arun is [tex]28[/tex]
To find for Aman's age, we can use substitution:
[tex]x+y=48[/tex]
[tex]x+28=48[/tex]
[tex]x=20[/tex]
∴ Aman is 20
Hope this helps :)
-4n + 9 = -2 (2n -1) +7
Answers
-4n + 9 = -4n + 9
Answer:
infinite number of solutions
Step-by-step explanation:
Given
- 4n + 9 = - 2(2n - 1) + 7 ← distribute and simplify right side
- 4n + 9 = - 4n + 2 + 7
- 4n + 9 = - 4n + 9
Since both sides are equal then any value of n makes the equation true.
That is there are an infinite number of solutions
F(x) = x-10 f(10)=
Can somebody help me
Answers
This is because once the 10 is inputted in the equation as x, you will get:
F(10)= 10 - 10
which results in zero.
Evaluate f(x) = 2x +3 for f(4)
Answers
f(x)=2x+3
f(4)= 2*4+3= 8+3=11
Evaluate f(x) = 2x +3 for f(4)
a-11
b-8
c-4
d-3
Answers
Answer:
the answer is a-11
Step-by-step explanation:
f(x)=2x+3
f(4)=2(4)+3
f(4)=8+3
f(4)=11
Find the missing term.
7-147 × 798 = 718 × 7-38 × _____
Answers
Answer: 7^(-29)
Step-by-step explanation:
Answer:
7^(-29)
Step-by-step explanation:
What is the slope-intercept form of the equation of the line shown in the graph?
A. y = 1/2x + 1
B. y = x + 1/2
C. y = x + 2
D. y = 2x + 1
Answers
The slope of a line is 1/7 and it passes through the point (21, 14). What is
the equation of the line in point-slope form?*
Answers
Answer: the equation of the line is y=1/7x+11
if a fat man come to the drive thru give him his burger not your phone number
Thats facts
love you guys
Answers
Answer:
True
Step-by-step explanation:
On average, a person’s heart beats about 4.2×107 times per year. There are about 7,600,000,000 people in the world. Use this data to approximate the number of heartbeats for all the people in the world per year. Expressing your answer in scientific notation in the form a×10b, what are the values of a and b?
Answers
Answer:
a=3.192 b=17
Step-by-step explanation:
I just used a graphing calculator to multiply the req. numbers
PLEASSSSEEEEE I AM SOOO CONFUSED BECAUSE IT SHOWS THE CORRECT ANSWER BUT I DONT GET ITTTTTT
Answers
Answer:
D. {(2,3) (2,5) (4,7)}
Step-by-step explanation:
2 has an output od 3 and 5, and 4 has an output of 7
Work out the volume and surface area of the given cuboid. (3 points) (13
2m
4m
8m
Plzzzzzz helppppppppop i will mark you as a brainliest
Answers
I need the answers please !
Answers
Answer:
m<5 = 133°
m<8 = 47°
Step-by-step explanation:
if <2 = 47°, and <5 is supplementary to <2, that means that together they both have to equal 180°. So, to get the measure of <5, you need to do 180 - 47 to get <5 = 133°.
Now, <5 (133°) is supplementary to <8, so they both have to equal 180° together. So, you must do 180 - 133 to get <8 = 47°. Or, another way to get <8 is to notice that <2 and <8 are alternate interior angles, which means they equal the same amount. So if <2 = 47°, then so does <8.