Answer/Step-by-step explanation:
Apply trigonometric ratio to solve for x in all problems given.
1. Reference angle = 29°
Adjacent = x
Hypotenuse = 13 m
Thus:
[tex] cos(29) = \frac{x}{13} [/tex]
Multiply both sides by 13
[tex] 13*cos(29) = x [/tex]
11.4 = x (nearest tenth)
x = 11.4 m
2. Reference angle = 63°
Opp = 18 cm
Hypotenuse = x
Thus:
[tex] sin(63) = \frac{18}{x} [/tex]
Multiply both sides by x
[tex] x*sin(63) = 18 [/tex]
Divide both sides by sin(63)
[tex] x = \frac{18}{sin(63)} [/tex]
x = 20.2 cm (nearest tenth)
3. Reference angle = 71°
Opp = 14 ft
Adjacent = x
Thus:
[tex] tan(71) = \frac{14}{x} [/tex]
Multiply both sides by x
[tex] x*tan(71) = 14 [/tex]
Divide both sides by tan(71)
[tex] x = \frac{14}{tan(71)} [/tex]
x = 4.8 ft (nearest tenth)
GIVING BRAINLIEST!!)
Write a story that represents 1/2 ÷ 3 ______.
Solve the equations and complete the story
Use multiplication to explain why the answer you found is correct
Answer:
Step-by-step explanation:
Fred, Ben, and George bought a pizza. George's sister and her friends ate some of the pizza, they left 1/2 of the whole pizza. Fred decided that they should share the remaining pizza equally. How much of the pizza will they each get?
1/2 ÷ 3 = 1/6
The three boys will each get 1/6 of the pizza.
Hope this is good! :3
A high school teacher collected the final test scores of students in her Honors United States History course. She found that the scores were normally distributed with a mean of 70 and a standard deviation of 10. What percentage of her students passed the exam with a score of 60 or above
Answer:
0.84134
Step-by-step explanation:
Given that:
Mean, m = 70
Standard deviation, s = 10
P(x ≥ 60)
Obtain the standardized score (Zscore) :
Z = (x - m) / s
Z = (60 - 70) / 10
Z = - 10 / 10
Zscore = - 1
P(Z ≥ 1) = 0.84134 (Z probability calculator)
Which number is greater than 10?
Answer:
C.
Step-by-step explanation:
The square root of five is greater than two - the square root of four is two, so it kind of has to be bigger.
Five times two is ten.
Since the square root of five is larger than two, five times the square root of five must be bigger.
Answer:
I used calc to figure it out but its C
Given m
0
n, find the value of x.
m
168
(6x+8)
Answer:
x = 10
Step-by-step explanation:
This is a parallel line cut by a transversal.
The two angles are corresponding angles. Therefore, they are equal to each other.
6x+8 = 68 >> subtract 8 from both sides
6x = 60 >> divide both sides by 6 to get x alone
x = 10
you can check by substituting 10 as x and see if 6x+8 is equal to 68 which it is
Please help I don’t understand this!
Answer:
a.)
Step-by-step explanation:
because 3 to the left is a negative and 2 units up means positive
What is the volume of the figure?
What is the volume of this cylinder? *
Answer V≈351.86
Step-by-step explanation: V=πr2h=π·42·7≈351.85838
The formula for the volume of a cylinder is V=Bh or V=πr2h .
The radius of the cylinder is 4 cm and the height is 7 cm.
Substitute 4 for r and 7 for h in the formula V=πr2h .
V= pie (4)² (7)
v= pie ( 14) (49)
Which answer is the solution to 4(2x-3)-3(x-4)+7x=6?
A. 2
B. 0.5
C. 0
D. 18
Answer:
your answer should be 0.5 or B
Choose all options that are expressions 6+5w 3-16v 4v+1 2v=0 18=v 7-v
Answer:
The expressions here are;
6 + 5w
3-16v
4v+ 1
7-v
Step-by-step explanation:
Here, out of the given set, we want to choose all options that are expression.
To do this, we should understand that expressions do not have the equality sign like equations
So expressions are those in the set in which we do not have an equality sign
The right answer is thus;
6 + 5w
3-16v
4v + 1
7-v
Can someone state the obtuse angle.
Answer:
so not sure how to prove it cause there is really no instructions but i am pretty sure it is from c to a to b
Step-by-step explanation:
I really need help for this geometry question, I would appreciate any help thank you.
Someone help me or give me a clue to this I’ll give 15 points
Answer:
one
Step-by-step explanation:
Answer:
No solution
Step-by-step explanation:
:)
i need help my question is -2 less than or equal to 3x-2 <10
A n s w e r:
0 ≤ x < 4
Write an equation in slope-intercept form of the line that passes through the points (2, 4) and (3,6).
Answer:
[tex]y=2x[/tex]
Step-by-step explanation:
We want to write an equation in slope-intercept form that passes through the points (2, 4) and (3, 6).
So, we will first find the slope. Let (2, 4) be (x₁, y₁) an let (3, 6) be (x₂, y₂).
The slope formula is given by:
[tex]\displaystyle m=\frac{y_2-y_1}{x_2-x_1}[/tex]
So, by substitution, our slope is:
[tex]\displaystyle m=\frac{6-4}{3-2}=\frac{2}{1}=2[/tex]
Now, we can use the point-slope form:
[tex]y-y_1=m(x-x_1)[/tex]
By substitution:
[tex]y-(4)=2(x-(2))[/tex]
Distribute:
[tex]y-4=2x-4[/tex]
Adding 4 to both sides yields:
[tex]y=2x[/tex]
And we have our equation.
In this case, the y-intercept is 0.
Shea wrote the expression 5( y+2) + 4 to show the amount of money five friends paid for a snack at a baseball game. Which expression is equivalent to the one Shea wrote
Answer: d. 5 ⋅ y + 5 ⋅ 2 + 4
Step-by-step explanation:
The expression 5( y + 2) + 4 means that the figures inside the bracket are to be multiplied by the figure outside it.
5 will therefore multiply both y and 2 while keeping the sign inside the bracket constant..
After expanding the terms in the bracket by multiplication, they will be:
5 * y + 5 * 2
Add the other figure(+4) in the equation as nothing changes for it:
5 * y + 5 * 2 + 4
Option D is therefore correct.
Plz, help me with this question?
Answer:
f
Step-by-step explanation:
Answer:
F
Step-by-step explanation:
6x= 12 means u would do 12 divided by 6 to get your answer which is 2. x=2
2sin^2x= sin^2x+sinxcosx/cotx
cot(x) = cos(x) / sin(x)
so
cos(x) / cot(x) = 1 / (1/sin(x)) = sin(x)
Then
sin²(x) + sin(x) cos(x) / cot(x) = sin²(x) + sin²(x) = 2 sin²(x)
Given AD = 7x , AB = 3x and the perimeter is 160. Find X.
Answer:
x = 8
Step-by-step explanation:
The complete question illustrates that the rectangle has sides ABCD and I've represented it as an attachment.
We have that:
AB = 3x
AD = 7x
The perimeter is calculated as:
Perimeter = 2 * (AB + AD)
Substitute values for AB, AD and Perimeter
160 = 2 * (3x + 7x)
160 = 2 * 10x
160 = 20x
Divide both sides by 20
8 = x
x = 8
Please give me the correct answer
Answer:
11
Step-by-step explanation:
Just count it
Answer:
11
Step-by-step explanation:
you have to count the spaces with numbers from right to left
3.
687
29
PLASS HELP ME DIS EASY 3,687 DIVIED BY 29 I BEG OF U PLA ADD REMAINDER IF THERE ISNT OKAY
Answer:
127.137931034
Step-by-step explanation:
Students and faculty raise $6042 for band uniforms. The faculty raised $1780. Write an equation you use to find the amount a (in dollars) the students raised?
Answer: 1780+x=6042
Step-by-step explanation:
I hope this helps.
Find the measure <1 for each problem .
Answer:
No
Step-by-step explanation:
If ADE and ABC, shown in the figure are similar,what is the value of X?
What is the number that should be divided by 20, to get 0.40. Justify your answer.
Answer:
8
Step-by-step explanation:
We know that x/20=.4
To find x multiply both sides by 20
this means that
x=8
Abcd is similar to wxyz what is the perimeter of wxyz
Answer:
40
Step-by-step explanation:
30/12=2.5
20/2.5=8
8+8+12+12=40
evaluate the expressions.
Answer:
(-6/7)^0=1
-(2)^0=-1
Step-by-step explanation:
hope it helped
can I have a brainliest please i really need that
Answer:
Result
Step-by-step explanation:
-8.7
Thats result for this question
Use the fact that one inch is approximately 2.54 centimeters to find the number of inches in 25 centimeters. Round to the nearest hundredth of an inch, if needed.
Answer:
25/2.54 = 9.84251968
9.84 inches
CAN SOMEONE ANSWER ASAP 20 POINTS AND ILL GIVE YOU BRAINLIST
Answer:
First, fourth.
Step-by-step explanation:
The g(x) function is basically [tex]g(x) = (x^{2} + 2) + 5[/tex].
All we have to do is substitute. I'll just do that, I hope you'll get it from the visuals.
First option:
[tex]g(x)= ((-2)^{2} + 2) + 5\\g(x) = (4 + 2) +5\\g(x) = 6 +5\\g(x) = 11[/tex]This works.
Second option:
[tex]g(x) = (4^{2} + 2) + 5\\g(x) = (16 + 2) + 5\\g(x) = 18 + 5\\g(x) = 23[/tex]This does not work
Third option:
[tex]g(x) = (0^{2} + 2) + 5\\g(x) = (0 + 2) + 5\\g(x) = 2 + 5\\g(x) = 7[/tex]This also does not work.
Fourth option:
[tex]g(x) = (1^{2} + 2) + 5\\g(x) = (1 + 2) + 5\\g(x) = 3 + 5\\g(x) = 8[/tex]This works.
Fifth option:
[tex]g(x) = (7^{2} + 2) + 5\\g(x) = (49 + 2) + 5\\g(x) = 51 + 5\\g(x) = 56[/tex]This does not work.
Subtract (8x+6)-(9x-4)
Answer:
-x+10
Step-by-step explanation:
I WILL GIVE YOU BRAINLIEST Jessica's friend tried to find the side length of a square garden, but made a mistake: 12 24*+ 13 12 4 6x+ 13 12 Side length = 6x+ Can you identify and correct her error
Answer:
She forgot to factor from both terms.
Step-by-step explanation:
Jessica should've divided 12/13 by 4 to find the correct side length that is 6x + 3/13
Answer:
Sample responce Jessica forgot to factor from both terms. She should have divided 12/13 by 4 to find that the correct side length, which is 6x + 3/13.
Step-by-step explanation: