NEED HELP WITH TRIG please show work as i am trying to learn the material i'm really puzzled. its soh cah toa but i don't remember how to do it
Answers
Answer:
see below
Step-by-step explanation:
5. sin 31 = opp/ hyp
sin 31 = 34 /x
x = 34 / sin 31
x =66.0145369
tan 31 = opp /adj
tan 31 = 34/y
y = 34/ tan 31
y= 56.5855024
6. Pythagorean theorem to find z
9^2+12^2 = z^2
81+144 = z^2
225 = z^2
z =sqrt(225) =15
sin x = opp / hyp
sin x = 9/15
take the inverse sin
x = sin^ -1 (9/15) = 36.86989765
sin y = opp / hyp
sin y = 12/15
take the inverse sin
y = sin^ -1 (12/15) = 53.13010235
Answer:
1. sin(31) = opposite/hypotenuse
sin(31) = 34/x
x = 34/sin(31) = 66.0145369
x = 66.0°
tan(31) = opposite/adjacent
tan(31) = 34/y
y = 34/tan(31) = 56.5855024
y = 56.6°
2. tan(x) = opposite/adjacent
tan(x) = 9/12
x = 36.86989765
x = 36.9°
y = 180 - 90 - x
y = 53.13010235
y = 53.1°
z² = 9² + 12²
z² = 225
z = 15
Related Questions
A cereal box is 12cm tall. The area of the base is 7cm. What is the volume?
Answers
Answer:
84cm3
Step-by-step explanation:
Volume of the box = Area x Height
V = AH
From the question given,
Height = 12cm
Area = 7cm2
Volume =?
Volume = Area x Height
Volume = 7 x 12
Volume = 84cm3
Therefore, the volume of the cereal box is 84cm3
The volume of the cereal box is 84 cm³
Volume of solid shapesFrom the question, we are to determine the volume of the cereal box
The volume of the cereal box can be calculated using
Volume = Base area × Height
From the given information
Base area = 7cm²
Height = 12 cm
Then,
Volume of the cereal box = 7cm² × 12cm
Volume of the cereal box = 84 cm³
Hence, the volume of the cereal box is 84 cm³.
Learn more on calculating volume of solid shapes here: https://brainly.com/question/24919497
Which table represents a function? sorry the image is sideways.
Answers
Answer:
The one with the orange background represents function.
Step-by-step explanation:
x-coordinates:-2, -1, 0, 1, 2
y-coordinates: -1,-1,0,1,2
A dot plot titled Age of Eagles going from 7 to 12. 7 has 1 dot, 8 has 2 dots, 9 has 4 dots, 10 has 2 dots, 11 has 3 dots, 12 has 2 dots. A dot plot titled Age of Lions going from 7 to 12. 7 has 0 dots, 8 has 0 dots, 9 has 2 dots, 10 has 2 dots, 11 has 5 dots, 12 has 4 dots.
The dot plots show the ages of players on two soccer teams. Which statements are true? Check all that apply.
The Lions have more variability in the ages of their players.
The Eagles have more variability in the ages of their players.
The Lions have more players.
The Eagles have more players.
The mean of the ages of Lions is less than the mean of the ages of Eagles.
Answers
Answer:
2 and 4
Step-by-step explanation:
nice try though
The true statements about the dot plots are:
B. Eagles have more variability (5)
D. The Eagles have more players (14)
What is the Variability of a Data?Variability is a measure of the degree to which the data values vary from the average value. In a dot plot, the range (max value - min value) is a measure of variability. The larger the range, the more the variability.
Range for age of the 14 players of eagles = 12 - 7 = 5
Range for age of the 13 players of lions = 12 - 9 = 3
The true statement are:
B. Eagles have more variability (5)
D. The Eagles have more players (14)
Learn more about variability of data on:
https://brainly.com/question/23481121
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What is 70% of 35?
А. 24.5
В. 35
C. 14
D. 28
Answers
Step-by-step explanation:
Step 1: Find the answer
70% * 35
0.7 * 35 = x
24.5 = x
Answer: Option A, 24.5
The answer is A.
Just multiply 70% by 35
5x + 8 = 2x + 14
Need a little bit of help would be thankful xxx
Answers
Answer: x = 2
Step-by-step explanation: 5x + 8 = 2x + 14
5x + 8 - 2x = 2x + 14 - 2x
3x + 8 - 8 = 14 - 8
3x = 6
3x/3 = 6/3
x = 2
For this problem, x would equal 2.
x=2
-Dhruva;)
pls help! will give brainlist!
find each angle measure in the regular polygon
a. 144°
b. 135°
c. 180°
d. 140°
Answers
A decagon is a 10-sided polygon, with 10 interior angles, and 10 vertices which is where the sides meet. A regular decagon has 10 equal-length sides and equal-measure interior angles. Each angle measures 144°
=====================================================
Work Shown:
E = exterior angle
n = number of sides
For any regular polygon, E = 360/n.
In this case, n = 10 as there are 10 sides, so E = 360/n = 360/10 = 36 degrees is the measure of each exterior angle.
Each interior angle is 180-E = 180-36 = 144 degrees
--------------
An alternative is to plug n = 10 into the formula below to get the measure of each interior angle i
i = 180(n-2)/n
i = 180(10-2)/10
i = 180(8)/10
i = 1440/10
i = 144
note: S = 180(n-2) is the sum of all the interior angles of any convex polygon. Dividing this sum over n will evenly divide the angle total to each interior angle.
1 x (-4) - 8 x 9/-3
Answers
Answer: I'm sure it's 20
what three numbers multiply to get 158?
Answers
Answer:52.6
Step-by-step explanation:
Answer:
2x79=158
79x2=158
158x1
Which is a factor of x2 - 9x + 14?
X-9
x-2
x + 5
X +7
ANSWER
x-2
b
Answers
Answer:
(x - 2)
Step-by-step explanation:
Given
x² - 9x + 14
Consider the factors of the constant term (+ 14) which sum to give the coefficient of the x- term (- 9)
The factors are - 2 and - 7, since
- 2 × - 7 = + 14 and - 2 - 7 = - 9, thus
x² - 9x + 14 = (x - 2)(x - 7) ← in factored form
Thus (x - 2) is a factor of the expression
Add. 6 1/3 + 4 ¾ + 3 7/12 =
13 11/12
14 2/3
13 2/3
14 7/8
Answers
Answer:
14 2/3
Step-by-step explanation:
A student is selected at random. What is the probability, as a decimal rounded to the nearest
thousandth, that the selected student is going on the field trip given that the student is an eleventh
grader?
Answers
Answer:
0.245
Step-by-step explanation:
Probability is the chance or likelihood that an event will occur.
Probability = Expected outcome of event/Total outcome of event
Since we are to find the probability that the selected student is going on the field trip given that the student is an eleventh
grader;
The expected outcome of event will be 13 as located on the table.
Total outcome of event will be the total number of students that went for the field trip.
Total outcome = 12+9+13+19
Total outcome of event = 53
Probability = 13/53
Probability = 0.245(to nearest thousandth)
100 nautical miles equals about 185 km to the nearest kilometer how far in kilometers is 140 nautical miles.
Answers
Answer:
100 nmiles = 185 km
1 km = 100 n miles / 185
0.541 n miles / 1 km
140 n miles / 0.541 n mile / km = 259 km
Answer is 259 km
Step-by-step explanation:
evaluate the expression for p=2
81-p
Answers
Answer:
79
Step-by-step explanation:
substitute 2 in for p in the equation 81-2
solve. 81-2=79
Find sin(a) in the triangle?
A.)12/35
B.)12/37
C.)35/12
D.)35/37
Answers
Answer:
12/37
Step-by-step explanation:
sin alpha = opposite side/ hypotenuse
sin alpha = 12/37
What is the value of the expression below when b = 4 and c=5?
8b2 - 6c + 9
A 48
B79
107
D 888
Answers
Answer:
107
Step-by-step explanation:
8b^2 - 6c + 9
Let b=4 and c=5
8*(4)^2 -6(5)+9
Exponents first
8* 16 -30 +9
Then multiply
128 -30+9
Then add and subtract
107
Which ratio is equal to 2/3?
A: 6/6
B:5/9
C: 6/9
D: 5/6
Answers
Answer:
C
Step-by-step explanation:
To get 6/9, you would multiply the numerator 2 by 3, and the denominator 3 by 3, to get 6/9.
PLEASE HELP FAST
What is the total surface area of the square pyramid below?
A. 100 cm2
B. 200 cm2
C. 280 cm2
D. 380 cm2
Answers
Answer:
10(10) + 4(1/2)(10)(14) = 100 + 280 = 380 cm²
The correct answer is D.
If you had 20 equal parts, how would you shade in 20% of it? How much parts would you have shade in?
Answers
Answer:
4
Step-by-step explanation:
20 percent is 1/5. 1/5 of 20 is 4.
You would need to shade in 4 parts.
20% of something is equal to 1/5 (because 100/5=20), so you would need to find 1/5 of 20. You can do this by dividing 20 by 5, and 20 ÷ 5 = 4.
I hope this helps!
what is 5374 rounded to the nearest 100
Answers
Answer:
5400
Step-by-step explanation:
The width of a rectangle is 5 x minus 7.5 feet and the length is 7.5 x plus 8 feet. Find the perimeter of the rectangle. (help please :) )
Answers
Answer:
-2.5+(-2.5)+15.5+15.5=26
Step-by-step explanation:
26 i think
Define parallel lines.
Lines in the same plane that intersect.
Lines in the same plane that never intersect.
Lines in the same plane that intersect to form a 90° angle,
Einest the same plane that Ateneet teena
g
le
Answers
Answer:
Lines in the same plane that intersect to form a 90 degree angle
Step-by-step explanation:
Final answer:
Parallel lines in Euclidean geometry are lines in the same plane that never intersect, maintaining a consistent distance from each other. The parallel postulate ensures the uniqueness of parallel lines through a given point relative to a line.
Explanation:
Parallel lines are defined as lines in the same plane that never intersect no matter how far they are extended in either direction. This concept is a fundamental part of Euclidean geometry, and it is also important in understanding the basis of linear perspective, where parallel lines appear to converge as they recede into the distance.
Moreover, while discussing the relationship between planes and lines, if three nonparallel planes are considered, they typically intersect in a single unique point or along a single line, depending on their orientation and equations. In contrast, parallel lines would not provide such a point or line of intersection since they never meet.
On a coordinate plane, a line goes through (0, 4) and (2, 0). The first equation from the previous system of equations is graphed. Graph the second equation to find the solution of the system of equations. y = −2x + 4, y = − 1 3 x − 1 What is the solution to the system?
Answers
Answer:
{3,-2}
Step-by-step explanation:
ITS CORRECT
Answer: third option
Step-by-step explanation:
Sean says that to add a number to –100 and still have –100 is to add zero. Candice says that she can add two numbers to –100 and still have –100. Who is correct and why?
Answers
Answer:
Step-by-step explanation:
Candice is correct because you can add 1 to -100 and get -99
then add -1 to -99 and you would get -100
Answer:
They are both correct
Step-by-step explanation:
hope this helps
Both pyramids in the figure have the same base area as the prism. The ratio of the combined volume of the pyramids to the volume of the
prism expressed as a fraction in simplest form is.
Answers
Answer:
Is there a Picture or something to see
Step-by-step explanation:
Use the ratios above to make a conclusion about the angles measures of triangle ABC and triangle JKL
Answers
Answer:
One is bigget
Step-by-step explanation:
The volume of a cone is 48π cubic inches. The cone has a height of 36 inches. Mark is finding the radius of the cone. Complete his work. 1. Rewrite the formula including the area of the base: 2. Substitute the values into the formula: 3. Simplify the right side: 4. Divide 12π to both sides: Step 5 is to . The radius of the cone is . V = 1 3 πr²h 48π = 1 3 πr²(36) 48π = 12πr² 4 = r²
Answers
Answer:
C and A
Step-by-step explanation:
Step 5 is to ( C ) take the Square root of both sides
The radius of the cone is ( A ) 2 inches
The radius of the cone is 2 inches.
The volume of cone:The volume of a cone is determined by the amount of space occupied by the cone. A three-dimensional figure having a single circular base is known as a cone. The base and the vertex are connected by a curved surface. A cone with a radius of r has a volume V that is one-third the area of the base B times the height h.
[tex]V=\frac{1}{3} \pi r^{2} h[/tex] or [tex]V=\frac{1}{3} Bh[/tex],
Since, [tex]B=\pi r^{2}[/tex]
How to determine the volume of cone?Given that the volume of cone V is 48π cubic inches and Height of the cone h=36 inches.Volume of cone [tex]V=\frac{1}{3} \pi r^{2} h[/tex] -------1
Here, the base of the cone is circular in shape and the area of circle is [tex]\pi r^{2}[/tex]. Consider [tex]B=\pi r^{2}[/tex]
Substituting the area of base in the equation (1).
[tex]V=\frac{1}{3} \pi r^{2}[/tex]
[tex]= \frac{1}{3} Bh[/tex]
Substitute the given values in the equation (1).
⇒ [tex]48\pi =\frac{1}{3} \pi r^{2} 36[/tex]
⇒ [tex]\frac{48\pi }{36\pi } =\frac{r^{2} }{3}[/tex]
⇒ [tex]\frac{12(3)}{9}=r^{2}[/tex]
⇒[tex]4=r^{2}[/tex]
⇒ [tex]r=2[/tex]
Thus, the radius of the cone is 2 inches.
Learn more about cone here- https://brainly.com/question/1315822 #SPJ2
please help i’m so annoyed with this
Answers
Answer:
299 cm
Step-by-step explanation:
13*46÷2=299
Answer:
A = 299 cm^2
Step-by-step explanation:
The area of the triangle is
A = 1/2 bh
The base is 46 and the height is 13
A = 1/2 (46) 13
A =299
Which rule represents the table's values?
A)
y = 3x + 1
y = 2x + 11
y = 3x - 1
y = 4x - 15
Answers
Answer:
There is no table given to match the values
FIRST TO ANSWER (CORRECTLY) GETS BRAINLIEST
I NEED HELP ASAP WE DIDN'T LEARN THIS :/
Answers
Answer:
A. 20°
Step-by-step explanation:
ΔABC's full internal angle measurements = 180°
m∠CAB = 80°
m∠ACB = 50°
m∠DBA = 30°
m∠DBC = ?
Add the measurements of the angles together, and subtract from the total:
m∠DBC = 180 - (80 + 50 + 30)
m∠DBC = 180 - (160)
m∠DBC = 20°
A. 20° is your answer.
~
Answer:
∠DBC = 20°
Step-by-step explanation:
∠A + ∠C + ∠ABC = 180 { sum of all angles of triangle}
50 + 80 + ∠ABC = 180
130 +∠ABC = 180
∠ABC = 180 - 130
∠ABC = 50°
∠ABD + ∠DBC = ∠ABC
30 + ∠DBC = 50
∠DBC = 50 - 30
∠DBC = 20°
-
The following situations showed a strong correlation. Which implies causation?
A)an increase in the average speed a car travels and a decrease in the time it takes to reach the destination
B)an increase in a company's advertising budget and an increase in their profit
C)an increase in temperature and an increase in ice cream sales
D)an increase in salary and a decrease in sick days
Answers
Answer: an increase in the average speed a car travels and a decreased in the time it takes to reach the destination
Step-by-step explanation: