The value of θ in the given triangle is equal to 30 degrees.
Data;
opposite = 8hypothenuse = 16sin θ = ?Trigonometric RatiosTo solve this problem, we have to use trigonometric ratios on this which is SOHCAHTOA.
since sin θ is the ratio between the opposite side to the hypothenuse,
[tex]sin\theta = \frac{opposite}{hypothenuse}[/tex]
Let's substitute the values into the function and solve.
[tex]sin\theta = \frac{8}{16} \\\theta = sin^-^1 (0.5)\\\theta = 30^0[/tex]
The value of θ is equal to 30 degrees.
Learn more on trigonometric ratios here;
https://brainly.com/question/24349828
a cyclist rides his bike at a rate of 40 kilometers per hour. what is this rate in miles per hour? how many miles will the cyclist travel in 5 hours? in your computations, assume that 1 mile is equal to 1.6 kilometers. do not round your answers.
Answer:
64 miles per hour; 320 kilometers in 5 hours
Step-by-step explanation:
take 1.6 multiplied by 40 and get 64 for the first question
then take 64 multiplied by 5 and get 320 for the second question
Solve for c.
ab + c = 5
c = 5/ab
c = 5 - ab
c = 5 + ab
I need help on this!
Answer:
A correctly shows the location of all the given values.
Step-by-step explanation:
The main difference can be found with the value -2 [tex]\frac{3}{4}[/tex]. This value would be less than -2 so the dot should be close to the middle line between -2 and -4.
Hope this helps~!
Answer:
A
Step-by-step explanation:
A) -4, -2 3/4, 1/2 , 1 1/4
B) -4, -2 1/4, 1/2 , 1 1/4
C) -4, -1 1/4, 1/2, 2 1/4
D) -4, -1/2, 1/2, 2 3/4
Use the properties of the parallelogram drawn to find m
Answer:
photo not clear
Step-by-step explanation:
try re-upload the question
you start at (2, 4). You move down 4 units and up 4 units. Where do you end?
Answer:
(2, 4)
Step-by-step explanation:
the same spot because 2 - 4 = -2, and the back up -2 + 4 = 2. we do not move left or right so there is no need to change the y value of 4
Answer:
(2, 4)
Step-by-step explanation:
We are given the points (2, 4) and we are told to move down four units, and then up 4 units. Since it's up and down not left and right it's telling us that we are moving the point on the y axis, which is the four, now all we have to do is subtract four units, and then add four more units on the y axis.
4 - 4 + 4 = 4
Leaving the points unchanged, your answer is "(2, 4)."
Hope this helps.
solution of the line y − 2x = 6
Answer:
Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation :
y-2*x-(6)=0
STEP
1
:
Equation of a Straight Line
1.1 Solve y-2x-6 = 0
Tiger recognizes that we have here an equation of a straight line. Such an equation is usually written y=mx+b ("y=mx+c" in the UK).
"y=mx+b" is the formula of a straight line drawn on Cartesian coordinate system in which "y" is the vertical axis and "x" the horizontal axis.
I need help plz help :(
Answer:
what
Step-by-step explanation:
tux really be chewing on da hair tho no cap
i’ll mark brainlest to whoever answers this question first! :)
Answer:
y=-3/4+1
Step-by-step explanation:
Goes three down, 4 right and intersects at 1 on y axis
Answer:
The answer is: y= -3/4x+1
If it's wrong than I'm sorry
A penguin walks 10 feet in 6 seconds. how far does the penguin walk in 45 seconds EXPLAIN OR SHOW YOUR REASONING
Answer:
75 feet in 45 seconds
Step-by-step explanation:
*disclaimer*
dont know if this is how you were taught to do this but heres how i was:
[tex]6 sec /10 ft. = 45 sec / x[/tex]
Set this up as a proportion.
Then multiply 10 ft by 45 sec, and 6 sec by x
Your equation then simplifies to
6x = 450
x = 75
HELPPP ASAP PLS
Identify the relationship between the two angles below. Select ALL that
apply.
Congruent Angles
Vertical Angles
Linear Pair Angles
Adjacent Angles
Supplementary Angles
Complementary Angles
Answer:
adjacent, linear pair, supplementary
Step-by-step explanation:
adacent because they are angles side by side
linear because the angles create a straight line
supplementary because the angles equal 180 degrees
- 2p + 8 = 6 - (7p + 7)
Answer:
p=1
Step-by-step explanation:
first you need to get rid of the parenthesis
-2p+8=6-7p+7
then combine everything you can on their respective sides
-2p+8=13-7p
then get the variable on one side and for this, it can be done 2 different ways but both ways get the same answer
-2p+8=13-7p
+7p +7p
5p+8=13
or
-2p+8=13-7p
+2p +2p
8=13-5p
then, depending on which way you decide to solve it, you would then solve for x like you would in any regualar equation
first way shown above:
5p+8=13
-8 -8
5p=5
divide them both by 5 and p=1
or the other way shown above
8=13-5p
-13 -13
-5=-5p
divide both sides by -5 and then p=1
State the range of f(x) on this domain interval.
Answer:
The range of a function is the set of outputs of the function
on the graph, outputs of a function are on the y-axis. So we will see the highest and the lowest output of this function
From the graph, we see that the function has the outputs:
{0 , 1 , 2 , 3 , 4 , 5 , 6}
Therefore, this is the range of the function
X+17>36 how would I solve this
Answer:
x > 19
Step-by-step explanation:
Hey there!
To solve this equation, you would solve it like any other equation.
Imagine that the inequality sign isn't there, and it's replaced with an equal sign. (I'm still going to use >, I just want you to pretend)
Solve:
x + 17 > 36Subtract 17 from both sides
x > 36 - 17x > 19That's it! there's your solution!
Remember this rule:
When dividing or multiplying by a negative number, flip the sign (from < to >, or from ≤ to ≥)6th grade math I mark as brainliest
Answer: 21 units
Step-by-step explanation: Since the y-coordinates are the same, you need to find only the difference in the x-values.
Since one is positive and one is negative, (on different sides of the y-axis) you add the distances of each coordinate from there.
Or, remember that finding the difference between two numbers is a subtraction equation, and subtracting a negative is the same as adding a positive.
15 -(-6) = x
15 + 6 = x
21 = x
Temperature
(°F)
Chicago
-6
Orlando
71
Montreal
-18
Springfield
36
Fairbanks
-32
By noon, the temperature in Fairbanks had risen by 21 °F.
What was the temperature there at noon?
1 OF
(b)
How much higher was the 6 a.m. temperature in Orlando than in Chicago?
°F higher
Answer:
Fairbanks had a temperature of 11 degrees Fahrenheit at noon.
The 6 am temperature in Orlando was 77 degrees higher than in Chicago.
Step-by-step explanation:
B) Circle the correct conclusion statement below:
The figure has horizontal line symmetry, but does not have vertical line symmetry.
The figure has vertical line symmetry, but does not have horizontal line symmetry.
The figure has BOTH horizontal and vertical line symmetry.
The figure has NEITHER horizontal or vertical line symmetry.
C) Circle the correct conclusion statement below:
The figure has horizontal line symmetry, but does not have vertical line symmetry.
The figure has vertical line symmetry, but does not have horizontal line symmetry.
The figure has BOTH horizontal and vertical line symmetry.
The figure has NEITHER horizontal or vertical line symmetry.
D) Circle the correct conclusion statement below:
The figure has horizontal line symmetry, but does not have vertical line symmetry.
The figure has vertical line symmetry, but does not have horizontal line symmetry.
The figure has BOTH horizontal and vertical line symmetry.
The figure has NEITHER horizontal or vertical line symmetry.
E) Circle the correct conclusion statement below:
The figure has horizontal line symmetry, but does not have vertical line symmetry.
The figure has vertical line symmetry, but does not have horizontal line symmetry.
The figure has BOTH horizontal and vertical line symmetry.
The figure has NEITHER horizontal or vertical line symmetry.
[B] Circle the correct conclusion statement below:
The figure has horizontal line symmetry, but does not have vertical line symmetry.
The figure has vertical line symmetry, but does not have horizontal line symmetry.
The figure has BOTH horizontal and vertical line symmetry.
The figure has NEITHER horizontal or vertical line symmetry.
Answer = The figure has vertical line symmetry, but does not have horizontal line symmetry.
Explanation: Base on the given you can see that the letter 'A' is vertical cut into equally but not horizontal
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
C) Circle the correct conclusion statement below:
The figure has horizontal line symmetry, but does not have vertical line symmetry.
The figure has vertical line symmetry, but does not have horizontal line symmetry.
The figure has BOTH horizontal and vertical line symmetry.
The figure has NEITHER horizontal or vertical line symmetry.
Answer = The figure has horizontal line symmetry, but does not have vertical line symmetry.
Explanation: Base on the given you can see that the letter 'D' is horizontal cut into equally but not vertical
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
D) Circle the correct conclusion statement below:
The figure has horizontal line symmetry, but does not have vertical line symmetry.
The figure has vertical line symmetry, but does not have horizontal line symmetry.
The figure has BOTH horizontal and vertical line symmetry.
The figure has NEITHER horizontal or vertical line symmetry.
Answer = The figure has BOTH horizontal and vertical line symmetry.
Explanation: Base on the given you can see that the letter 'H' is equally cut in vertical and horizontal line symmetry.
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
E) Circle the correct conclusion statement below:
The figure has horizontal line symmetry, but does not have vertical line symmetry.
The figure has vertical line symmetry, but does not have horizontal line symmetry.
The figure has BOTH horizontal and vertical line symmetry.
The figure has NEITHER horizontal or vertical line symmetry.
Answer = The figure has NEITHER horizontal or vertical line symmetry.
Explanation: Base on the given you can see that the letter 'J' is not equally cut in vertical neither horizontal.
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
~Learn with Lenvy~
A motorcycle zoomed along the freeway, traveling 10 meters in 1/3 of a second . How fast was it going ?
Answer:
30m/sec
Step-by-step explanation:
v=s/t
given s= 10m
t=1/3 sec
v= 10/(1/3)=10×3/1= 30 m/s
Answer:
10 meters per 1/3 second equals
30 meters per second and multiplying this by 60 makes it
900 meters per minute or .9 kilometers per minute
multiplying this by 60 makes it
54 kilometers per hour
Step-by-step explanation:
You take music lessons that cost $45 a month plus an additional amount for lessons during the month. If you spent $325 in music lessons in one month, how much did you spend on lessons? Select the equation and the solution (2 answer choices).
Group of answer choices
45 + n = 325
45n = 325
$280
$7.22
Answer:
45 + n = 325
n = $280
Step-by-step explanation:
total cost = monthly cost plus the cost of lessons
total cost = $325
monthly cost = $45
number of lessons = 'n'
45 + n = 325
n = 280
(8x-20) (5x+37) apply angle theorem find x
How do you simplify the radical expression: √ 5 (3√ 5- 4√ 3)?
Answer:
[tex]15-4\sqrt{15}[/tex]
Step-by-step explanation:
[tex]\sqrt{5}\left(3\sqrt{5}-4\sqrt{3}\right)\\\\\mathrm{Apply\:the\:distributive\:law}:\\\quad \:a\left(b-c\right)=ab-ac\\\\a=\sqrt{5},\\\:b=3\sqrt{5},\:c=4\sqrt{3}\\\\=\sqrt{5}\times\:3\sqrt{5}-\sqrt{5}\times\:4\sqrt{3}\\\\=3\sqrt{5}\sqrt{5}-4\sqrt{5}\sqrt{3}\\\\Simplify\:\:\:3\sqrt{5}\sqrt{5}-4\sqrt{5}\sqrt{3} \: :15-4\sqrt{15}\\\\=15-4\sqrt{15}[/tex]
The essential difference between an experiment and an observational study is that:
a. Observational studies may have confounded variables, but experiments never do.
b. In an experiment, people must give their informed consent before being allowed to participate.
c. Observational studies are always biased.
d. Observational studies cannot have response variables.
e. An experiment imposes treatments on the subjects, but an observational study does not.
Answer: e. An experiment imposes treatments on the subjects, but an observational study does not.
Step-by-step explanation:
Experiment is scientific procedure that is undertaken by an individual or a researcher in order for the person to either make a discovery, or test a hypothesis.
Observational studies are the studies whereby the researchers just observe the impact of a treatment or risk factor e.g. cohort studies. In observational study, the researchers just collect data based on what they've either heard or seen and they've no control over such variables collected whole for an experiment, treatments are applied to a group and the effects are recorded.
2. What value of x makes the equation true? 1.7x - 7 = 1.2x +5 *
4.13
-4
24
2.9
I need help!
Answer:
24
Step-by-step explanation:
1.7x - 1.2x = 5 + 7
0.5x = 12
x = 24
Complete the reasons for the proof.
Given:
m<3 = m<4
To Prove:
<1, <2 are supplementary
2. 2 sides in a line
3. linear (or) supplementary
5. Vertically, equal
6.Substitution
7. alternate exterior angles
Answer:
see below
Step-by-step explanation:
1. given
2. adjacent sides in straight line
3. definition of supplementary adjacent angles
4. substitution
5. opposite angles are equal
6. substitution
7. definition of alternate exterior angles
find the area of the shape A B C D
find the perimeter of the shape A B C D
find the area and perimeter of the shape DBC
Answer:
ABCD = 9cm²
BCD =7.5cm²
perimeter of abcd = 25.8cm
If Susie finished her lunch at 1 PM and it took her 45 minutes to eat what time did she start eating lunch
12:15
Step-by-step explanation: 45+15=60
There a 60 minutes in an hour
I hope that helped
3. Each fime the team loses, they lose
7 points in the standings. Use the
expression below to show the total
number of points lost from their 5 losses.
581-7
Answer:
the expression you showed wasn't correct but I still something with the expression but I don't think is the correct answer
Step-by-step explanation:
=> {581}-{7}
=> {574}
=> 574
The initial population of a town is 4,100, and it grows with a doubling time of 10 years. What will the population be in 8 years?
The sum of more than two consecutive whole numbers is always an odd number ? Give examples
Mary works at the Elementary School, but has to go to the airport to pick up her father. Her father works at City Hall. She drops her father at City Hall and then returns to the Elementary School. How far did Mary travel if she took the shortest route?
A. 32 miles
B. 36 miles
C. 64 miles
D. 96 miles
Answer:
D. 96 miles
Step-by-step explanation:
So, first, to get to the airport, we can take the shortest route, which is Elementary School to City Hall (21), then to High School (12), then to Airport (15).
This adds up to 48 miles.
Then, we go back to City Hall, through the High School, which is 27 miles (15+12)
Then, we go to the Elementary School from City Hall, which is 21 miles.
Add up all the miles and you get:
48 + 27 +21 = 96
You were 20 inches tall at birth, and 65 inches tall on your 10th birthday. Create a linear equation to
represent this situation. According to your equation, how tall will you be at age 20?