Which equation should you solve to find x?
A. COS 26 = x/10
B. COS 26 = 9/10
C. Sin 26 = x/10
D. Tan 26 = 9/x
Answers
Answer: Choice C
sin(26) = x/10
===========================================================
Explanation:
With respect to the 26 degree angle, the x is the opposite side and the 9 is the length of the adjacent side.
We can say tan(26) = x/9 because tangent is the ratio of opposite over adjacent. In other words, tan(angle) = opposite/adjacent
Unfortunately, tan(26) = x/9 is not an answer choice.
Luckily though, we have other trig ratios to work with.
The sine ratio ties together the opposite side and hypotenuse
sin(angle) = opposite/hypotenuse
sin(26) = x/10
---------
Extra info (optional section)
Solving for x leads to...
sin(26) = x/10
10*sin(26) = x
x = 10*sin(26)
x = 4.38371 approximately
Also, note how cos(26) = 0.89879 approximately, which is fairly close to 9/10 = 0.9. This indicates some rounding error is going on when your teacher is displaying either the 9, the 10, or the 26 degree angle.
Related Questions
Which is the inverse of the difference of 1/3-1/4?
A.0/1
B.1/12
C.7/12
D.12/1
Answers
Answer:o/1
Step-by-step explanation:
There were 24 students running in a race. How many different arrangements of first,
second, and third place are possible?
Answers
24P3
Use Permutation Formula
Give the following sequence for f(x) = 4x^2 - x , when x is -4, 1, 2
O 58, 14, 3
0-64, - 14, 3
O 68, 14, 3
0 7, 14, 3
Answers
Answer:
O 68, 14, 3
Step-by-step explanation:
Given:
f(x) = 4x² - x
When x = -4
f(x) = 4x² - x
= 4(-4)² - (-4)
= 4(16) + 4
= 64 + 4
f(x) = 68
When x = 1
f(x) = 4x² - x
= 4(1)² - 1
= 4(1) - 1
= 4 - 1
f(x) = 3
When x = 2
f(x) = 4x² - x
= 4(2)² - 2
= 4(4) - 2
= 16 - 2
f(x) = 14
The answer = 68, 3, 14
A sphere has a diameter of 10 in. What is the volume of the sphere?
V = StartFraction 125 Over 3 EndFraction inches cubed
V = StartFraction 500 Over 3 EndFraction inches cubed
V = StartFraction 500 Over 3 EndFraction pi inches cubed
V = StartFraction 4,000 Over 3 EndFraction pi inches cubed
Answers
Answer: The answer is B, or the second "v" lol
Step-by-step explanation:
Answer:
its A
Step-by-step explanation:
✔️V = 125 Over 3 inches cubed
V = 500 Over 3 inches cubed
V = S 500 Over 3 pi inches cubed
V = 4,000 Over 3 pi inches cubed
The linear model d = 0.15+.35t represents the data found for the dive of a local swim team where t represents the duration of the dive in seconds and d is the depth of the dive in feet.
What does the slope represent?
A
That if the dive was increased by 1 second, the depth would increase by about .15 feet.
B
That if the dive was increased by 1 second, the depth would increase by about .35 feet.
C
That if the dive was increased by .15 seconds, the depth would increase by about 1 foot.
D
That if the dive was increased by 35 seconds, the depth would increase by about 1 foot.
Answers
Answer:
B That if the dive was increased by 1 second, the depth would increase by about .35 feet.
Step-by-step explanation:
The coefficient of the variable represents the rate of change
Please don’t report I need help. I’m going to be a high school sophomore next fall and I’m selecting my courses should I take Geometry I or Algebra II?????
Answers
Answer:
I would say geometry. its easier
Will mark brainliest
Answers
Answer:
I think the answer should be Mat A cause it has more space.
Repost bcs last one wasnt clear BUT PLEASE HELPP 5 MINS LEFT
Answers
Answer:
[tex]m =13[/tex]
Step-by-step explanation:
Given
The attached dataset
Required
The mean absolute deviation
First, calculate the mean
[tex]\bar x = \frac{\sum x}{n}[/tex]
So, we have:
[tex]\bar x = \frac{42+40+39+76+71+55+68+65}{8}[/tex]
[tex]\bar x = \frac{456}{8}[/tex]
[tex]\bar x = 57[/tex]
The mean absolute deviation (m) is:
[tex]m =\frac{1}{n} \sum|x - \bar x|[/tex]
So, we have:
[tex]m =\frac{1}{8} (|42 - 57| + |40 - 57| + |39 - 57| + |76 - 57| + |71 - 57| + |55 - 57| + |68 - 57| + |65 - 57|)[/tex]
Using a calculator, we have:
[tex]m =\frac{1}{8} (|-15| + |-17| + |-18| + |19| + |14| + |-2| + |11| + |8|)[/tex]
Remove absolute bracket
[tex]m =\frac{1}{8} (15 + 17 + 18 + 19 + 14 + 2 + 11 + 8)[/tex]
[tex]m =\frac{1}{8} *104[/tex]
[tex]m =13[/tex]
The mean absolute deviation is 13
8.92 kilograms equal how many decigrams
Answers
Answer:
89200
Step-by-step explanation:
Have a nice day
The sides of a rectangle are in the ratio 5:3. If the perimeter of the rectangle is 640 meters, how long is each side? Please answer I need this for my homework and it’s due today
Answers
Answer: sorry but i need this points but you got this sorry
Step-by-step explanation:
Answer:
200 and 120
Step-by-step explanation:
(5x + 3x )*2 = 640
8x = 320
x = 40
5*40 = 200
3*40 = 120
solve for x
I tried 10 but it said that it was incorrect
Answers
Answer:
5
Step-by-step explanation:
(5 + x)5 = (2 + 23)2
25 + 5x = 50
5x = 25
x = 5
The product of -3.5 and a number, n is greater than 17.5
Answers
Answer:
n > 5
Step-by-step explanation:
3.5n > 17.5, or
n > 5
HELPPP PLEASE
Also I used line A as a place holder I don’t know if it’s right
Answers
Answer:
Line A is the right answer.
Answer:
a is right linear means straight line
Step-by-step explanation:
PLEASE HELP
Write the number in standard form:
6.7 × 10^9
Answers
Answer:
6700000000
Step-by-step explanation:
6.7×10^9
(67×10^-1) × (10^9)
(67×)^-1+9
67^8
6700000000
Solve Andre’s inequality 3x+10≤31
h ≥ 7
h ≤ 7
h < 7
Answers
Answer:
It is h ≤ 7
Step-by-step explanation:
.Un recipiente cilíndrico de 5cm de radio y 10cm de altura se llena de agua. Si la masa del recipiente lleno es de 2kg, ¿cuál es la masa del recipiente vacío?
Answers
Answer:
La masa del recipiente vacío es 1,2146 kg.
Step-by-step explanation:
La densidad se define como la propiedad que tiene la materia, ya sean sólidos, líquidos o gases, para comprimirse en un espacio determinado. En otras palabras, la densidad es una magnitud que permite medir la cantidad de masa que hay en determinado volumen de una sustancia. Entonces, la expresión para el cálculo de la densidad es el cociente entre la masa de un cuerpo y el volumen que ocupa:
[tex]densidad= \frac{masa}{volumen}[/tex]
Entonces la masa puede ser expresada como:
masa= densidad*volumen
En este caso:
densidad del agua= 1000 [tex]\frac{kg}{m^{3} }[/tex]volumen del recipiente cilíndrico= π*radio²*altura= π*(5 cm)²* 10 cm= π*(0,05 m)²*0,1 m= 7,854*10⁻⁴ m³Reemplazando:
masa= 1000 [tex]\frac{kg}{m^{3} }[/tex] * 7,854*10⁻⁴ m³
masa=0.7854 kg
Si la masa del recipiente lleno es de 2 kg, entonces se le resta la masa de agua calculada:
2 kg - 0,7854 kg= 1,2146 kg
Entonces, la masa del recipiente vacío es 1,2146 kg.
Robert has attended 32 out of 40 after school band practices this year based on his record of attendance which is the probability that Robert will attend band practice in the future?
Answers
Answer:
4/5
Step-by-step explanation:
32/40 is how often he has come so far. You would need to simplify that fraction down to the lowest, which is 4/5.
which number line shows the soulution
Answers
Answer:
The answer is C.
One side of right angled triangle is 10 cm the other are both of length x ,calculate x to 2 decimal places
Answers
As triangle is right angled, we can possibly use the Pythagoras theroam.
By pythgoras theoram;
= H² = B² + P²
= 10² = x² + x²
= 10² = x⁴
=⁴√ 10² = x
= 10²×¼ = x
= 10½ = x
= √10 = x
= 3.16 = x
So the value of x is 3.16 cm
(Hypotenuse)² = (Base)²+ (Perpendicular)²
Taking, Hypotenuse As H
Base As B
Perpendicular As P
_________________________
Solving The QuestionH= 10cm
B= x cm
P= x cm
__________
H²= B²+P²
10²= x²+x²
=> 100= 2x²
=> √100= 2x
=> 10=2x
=> x=10/2
=> x= 5
Hope This Helps You ❤️plsssssssssssss help
Answers
Answer:
4
Step-by-step explanation:
Answer:
4
Step-by-step explanation:
none of the others match to the red triangle
factoring trinomials 4x^2-15x-25
Answers
Answer:
For a polynomial of the form ax2+bx+c a x 2 + b x + c , rewrite the middle term as a sum of two terms whose product is a⋅c=4⋅−25=−100 a ⋅ c = 4 ⋅ - 25 ...
Step-by-step explanation:
Hello! i need help finding the value of x could somebody help?
Answers
Answer:
lkrkfkfkfnfnfnfnfnf
These are vertical angles since they are opposite angles made by two intersecting lines. And vertical angles are congruent so we would set them equal to each other.
6x-19 = 3x + 32
Subtract 3x from both sides.
3x - 19 = 32
To isolate 3x on one side add 19 to both sides.
3x= 51
Divide by 3 on both sides.
X = 17
Evaluate Expression
Answers
Answer:
72
Step-by-step explanation:
a-3(b) where a=6 and b=-4
6-3(-4)
6(12)
= 72
5. Miguel has an after-school job. He works
between 15 and 25 hours each week and is paid
$12 per hour. What is an appropriate domain for
this scenario?
A. All real numbers such that 15
B. All real numbers such that 180 < x < 300
C. All real numbers
D. All real numbers such that x>0
Answers
Answer:
The domain is 15 ≤ x ≤ 25
Step-by-step explanation:
The given parameters are;
The number of hours Miguel works each week = Between 15 and 25 hours
The amount he is paid per hour = $12
Therefore, we have;
The domain is all real numbers, 'x', such that 15 ≤ x ≤ 25
The amount Miguel makes each week, 'y' is between; 12 × 15 ≤ A ≤ 12 × 25
Therefore the range is 180 ≤ y ≤ 300.
ASAP PLEASE ‼️‼️❗️‼️‼️❗️
A group of 25 people are going to run a race. The top 12 finishes advance to the finals. find the of possibilities.
Answers
Answer:
I dont know what thats asking
Step-by-step explanation:
I NEED HELP ASAP PLEASE!! ;)
Answers
Answer:
7 inches
Step-by-step explanation:
First you have to find the average height of each class.
4th Grade:
56, 47, 54, 51, 53, 58, 48, 54, 46, 53
Then you have add it all up and divide it by how many students there are.
56 + 47 + 54 + 51 + 53 + 58 + 48 + 54 + 46 + 53 = 520
520 ➗10= 52
Same process for the 7th Grade.
You end up getting 52 and 59. You then Subtract it to get the answer to the question.
52 - 59= 7 inches
The diameter of a circular swimming pool is 15 feet. Find the circumference.
Answers
I did this last year :))
Suppose that AKL M is isosceles with base MK.
Suppose also that m 2 M= (3x+36) and m 2 K = (4x +31)
Find the degree measure of each angle in the triangle.
m ZK = 0
m 2L =
m ZM =
MA
K
(3x +36)
(4x +31).
Х
Answers
Answer:
m<K = 51°
m<L = 78°
m<M = 51°
Step-by-step explanation:
Base angles of an isosceles ∆ are equal to each other, therefore,
m<M = m<K
Substitute
3x + 36 = 4x + 31
Collect like terms and solve for x
3x - 4x = -36 + 31
-x = -5
Divide both sides by -1
x = 5
Let's find each degree measure using the value of x
m<K = 4x + 31
Plug in the value of x
m<K = 4(5) + 31
m<K = 20 + 31
m<K = 51°
m<M = 3x + 36
= 3(5) + 36
= 15 + 36
m<M = 51°
m<L = 180° - (m<M + m<K) (sum of triangle theorem)
Substitute
m<L = 180 - (51 + 51)
m<L = 78°
In order to help students improve their reading, a school district decides to implement a reading program. It is to be administered to the bottom 5% of the students in the district, based on the scores on a reading achievement exam. If the average score for the students in the district is 122.6, find the cutoff score that will make a student eligible for the program. The standard deviation is 18. Assume the variable is normally distributed. Round to two decimal places.
Answers
Answer:
92.99
Step-by-step explanation:
Mean, μ = 122.6
Standard deviation, σ = 18
Recall :
Z = (x - μ) / σ
x = score
The Zscore for the lower 5% = 0.05
Using, invnorm(0.05) = - 1.645
Put Z = - 1.645
-1.645 = (x - 122.6) / 18
-1.645 * 18 = x - 122.6
-29.61 = x - 122.6
-29.61 + 122.6 = x
x = 92.99
There are 20 pieces of candy in the box. If 15 of them are hard candies, what percentage of the candies in the box are hard candies?
Answers
Answer:percentage of the candies in the box that are hard candies=75%
Step-by-step explanation:
Total pieces of candy in the box=20
Number of candies that are hard =15
Percentage of candies that are hard =Number of candies that are hard / Total pieces of candy in the box x 100
= 15/20 x 100
=75%