Answer:
[tex]\huge\boxed{\text{4.2 feet}}[/tex]
Step-by-step explanation:
In order to solve this problem, we can use the basic trigonometric functions.
Let's first start to break down the triangle scenario we're given.
We know that the ladder is 10 ft tall. Given that it is slanted, it's likely the hypotenuse.We know the angle formed between the ladder and the ground is 65°. Since the ladder will form a 90° angle with the ground, the last angle will have to follow the triangle rule.The triangle rule is that all angles within a triangle will add up to 180°. Using this logic, we can find the measure of the third angle from the other two[tex]90+65+x=180[/tex], [tex]155+x=180[/tex], [tex]x=25[/tex]Now we know the three angles of the triangle and one side.
We can find the other two sides (or just the base side, in our case), using trigonometric functions such as sin, cos, and tan. We can substitute in their formulas and find lengths based on angle measures.
We know using SOH CAH TOA the relationships between opposites, adjacents, and hypotenuses with these functions. SOH CAH TOA states that:
Sin = Opposite/HypotenuseCosine = Adjacent/HypotenuseTangent = Opposite/AdjacentUsing the triangle, we want to find a relationship that has the base we need as an opposite/adjacent that can use the hypotenuse (since it's the only side length we know.
Well, we can take the sin of the 25 degree angle - it's opposite is the base leg and the hypotenuse is 10.
We can then represent this using an equation:
[tex]\text{sin}(25) = \frac{\text{opposite}}{\text{hypotenuse}}[/tex] [tex]\text{sin}(25) = \frac{\text{opposite}}{10}[/tex] (Since we know the hypotenuse is 10)[tex]\text{sin}(25) \cdot 10 = \text{opposite}[/tex] We know that sin(25) is roughly 0.4226 because of our. calculator. We can then multiply that by 10 to recieve 4.226. This rounds to 4.2 (to the nearest 10th).Therefore, the length of the base leg is 4.2 feet
Hope this helped!
Answer:
4.2 feet
Step-by-step explanation:
.................
Which of the following equations is used to calculate the probability of event A happening, given that event B has occurred?
Answer:
B
Step-by-step explanation:
Not much to explain
Can someone please help. I tried to solve it and I keep getting stuck or can someone at least help me start off solving it?
An advertising company charges $40 per half-page advertisement and $75 per full-page advertisement
Michael has a budget of $800 to purchase 13 advertisements.
(a) Define a variable for each unknown
Write a system of equations to represent the situation and solve the system
(b) How many half-page advertisements does Michael purchase?
Show your work.
(c) How many full-page advertisements does Michael purchase?
Answer:
F=full page H=half page
40H+75F=800
H+F=13 so H= 13-F substitute 13-F for H in the first equation.
40(13-F)+75F=800
520-40F +75F=800
35F= 280 so F=280/35=8
8 fullpage and 5 halfpage ads
Step-by-step explanation:
In direct variation y = kx. What is the value of k if y = 20 and x = 4 ?
ASAP PLEASE!
Which could be the lengths of the sides of a right triangle?
Answer:
A. 6cm, 7cm, 8cm represents the lengths of a given right angle
Which side lengths form a right triangle? Choose all that apply. 5, the square root of 8, 33 or 8,15,17 or the square root of 2, the square root of 2, 2
Answer:
17² = 15² + 8²
2² = (√2)² + (√2)²
Step-by-step explanation:
A triangle is a polygon with three sides and three angles. There are different types of triangles such as right angled, acute, obtuse and isosceles triangle.
In right angle triangle, one angle is 90°. From Pythagoras theorem, the square of the longest side (hypotenuse) is equal to the sum of the square of the two sides. Hence:
33² ≠ (√8)² + 5² (not right triangle)
17² = 15² + 8² (right triangle)
2² = (√2)² + (√2)² (right triangle)
Jason begins at the start of a path and rides his bike 11 12 miles on the path. The path is 12 14 miles long. Enter the distance, in miles, Jason must ride to reach the end of the path. Show your work.
Answer:
Number of miles remaining for Jason to reach end of the path = 3/4 miles
Step-by-step explanation:
Total distance of the path = 12 1/4 miles
Distance reached by Jason's bike on the path = 11 1/2 miles
Enter the distance, in miles, Jason must ride to reach the end of the path.
Number of miles remaining for Jason to reach end of the path = Total distance of the path - Distance reached by Jason's bike on the path
= 12 1/4 miles - 11 1/2 miles
= 49/4 - 23/2
= (49-46) / 4
= 3/4 miles
Number of miles remaining for Jason to reach end of the path = 3/4 miles
f(x)=x^2. what is g(x)?
PLEASE I NEED THIS ASAP! FIRST CORRECT ANSWER GETS BRAINLY!
the two dot plots below compare the forearm lengths of two groups of school children.
based on visual inspection of the dot plots, which group appears to have the longer average forearm length?
A. Group B, because five children have a forearm length longer than 12 inches.
B. Group B, because a child in the group has the least forearm length of 10 inches.
C. Group A, because no child in the group has a forearm length longer than 12 inches.
D. Group B, because four children in the group have the least forearm length of 10 inches.
Answer:
A ;)
Step-by-step explanation:
Person above was right.
sean needed to put 7 gallons 3 quarts of gas into his boat on Monday and twice as much on Saturday.if he had a 22 gallon jug of gas available, did he have enough gas for both days?
Answer:
No
Step-by-step explanation:
7 3/4 x 3 = 22 1/2
Which expression is equivalent to 4(3x + 4y)
Answer:
12x+16y
Step-by-step explanation:
Does (7, 8) make the equation y = x + 5 true?
Answer:
..
Step-by-step explanation:
no the correct point would be (7,12)
7x1=7
7+5=12
Answer:
nop0e
Step-by-step explanation:
There are 5,400 bricks on a pallet. There are 9 crates of bricks on each pallet. How many bricks are in each crate? Enter your answer in the box.
Answer:
600
Step-by-step explanation:
5400/9=600
Assuming you have the same amount of bricks in each crate there would be 600 bricks in each of the 9 crates. Hope this helps :)
solve for x.
help asap plssss
Answer:
60
Step-by-step explanation:
The outside of the circle will measure 360 all of our known values are added up to equal 240 so subtract it from 360 to get 120
Now divide 120 by half to get 60 since the outside is double the size of the inside
Hope this helps
Answer:
60
Step-by-step explanation:
Angle R is an inscribed angle so it is 1/2 of TS. Since a circle is 360 degrees, we find TS by subtracting (90 + 150) from 360 which gives us TS = 120.
x = 1/2(120) = 60 degrees
Pls, help me with this question
Answer:
37.5
Step-by-step explanation:
∠ABC (x) is an inscribed angle with arc AC being the arc it intercepts
An inscribed angle is equal to half the measure of its intercepted arc.
If arc AC = 75
Then x = [tex]75\frac{1}{2}[/tex]
75 / 2 = 37.5
Hence, x = 37.5
R and S represent positive integers on a number line and R
Answer:
D u got it right if thats wrong then its C
Step-by-step explanation:
MRK ME BRAINLIEST PLZZZZZZZZZZZZZZZZZZ
Answer:
The answer is c. I know the rest of the problem, I have done this before. The full question is:R and S represent positive integers on a number line
and R<S. Which of the following could be the
positions of R and S ? Both R and S is on the right of 0, and R is behind S.
Step-by-step explanation:
PLEASE HELP ME ANSWER NEEDS TO HAVE AN EXPLANATION STEP BY STEP.
Step-by-step explanation:
As side of a square is a², so it will be
[tex]\tt{(\sqrt{2} - 3 \sqrt{5})^2}[/tex]
Refer to attachment, the answer is provided.
Hope it helps :)
What type of angle is this pls hurry!
Answer:
Its an Obtuse angles
Step-by-step explanation:
x+79=2x-37
(x+79)+(-79)=(2x-37)+(-79)
x+79-79=(2x-37)-79
x=2x-37-79
x=116
An obtuse angle has a measurement greater than 90 degrees but less than 180 degrees.
solve the inequality 2x+10<5x+1
Answer:
x>3
Step-by-step explanation:
you would subtract 5x from 2x and get -3x+10 < 1
then subtract 10 from 1 and get -9 so
-3x<-9 then divide and flip sign x>3 hope this helps
Answer:
x>3
Step-by-step explanation:
1.subtract both sides
2x+10 -5 < 5x+1 -5
-3x+10<1
2.subtract 10 from both sides
-3x+10 -10 < 1 -10
-3x<-9
3.divide both sides with number including x
-3x < -9
-3 -3
= x > 3
---l----l-----l----O---l-----l-----l-->
0 1 2 3 4 5 6
What is the value of y for the point with an x-value of 5?
HELP FOR BRAINLESS !!!!
Answer:
the blue one
Step-by-step explanation:
ressions, Equations, and Relationships - Readines
What is the approximate value of x in this equation?
6x + 14 = 7 - X
Answer:
x=-3
Step-by-step explanation:
How many proportional relationships are shown in the coordinate plane below?
Answer:
The answer is A) There are no proportional relationship
Step-by-step explanation:
The green line does not go through the origin and it is curved. This is not a proportional relationship.
Problems: It does not go through 0,0 and it is curved.
----------------------------------------------------------------------------------------------------------------
The blue line may go through the origin but it is curved. This is not a proportional relationship.
Problem: It is curved.
----------------------------------------------------------------------------------------------------------------
The purple line does not go through the origin. This is not a proportional relationship.
Problem: It does not go through 0,0
----------------------------------------------------------------------------------------------------------------
Conclusion: Since the green, blue, and purple line are not proportional, this means zero lines are proportional.
Note:
I know my answer is very late but I wanted to help anyone who needs it for future reference.
The graph has 0 proportional relationships.
What shows proportional relation?
The graph of a proportional relationship is a straight line through the origin or a ray whose endpoint is the origin.
How many proportional relation in graph?
In the given graph, only one purple color curve is a straight line but it is not starting through the origin.
Therefore, the graph does not have any proportional relationships.
Learn more: https://brainly.com/question/11391605
#SPJ2
HELP ME NOW I NEED HELP
Zeros:
x = -11
x = 11
Positive zero: 11
WHAT IS 1/2 + 1/9 PLEASE ANSWER! AND EXPLAIN I NEED MY GRADE UP!!!
Answer:
11/18
Step-by-step explanation:
1 2 + 1 9 = ? The Least Common Multiple (LCM) of 2 and 9 is 18. Multiply the numerator and denominator of each fraction by whatever value will result in the denominator of each fraction being equal to the LCM: 1 2 + 1 9 = 1 × 9 2 × 9 + 1 × 2 9 × 2 = 9 18 + 2 18 Now that the fractions have like denominators, add the numerators: 9 18 + 2 18 = 9 + 2 18 = 11 18 The result is: 1 2 + 1 9 = 11 18
so 11/18 is you answer
Answer:
11/18
Step-by-step explanation:
Get the common denominator by multiplying 2 and 9.
Multiply both sides of 1/2 by 9 to get 9/18, and both sides of 1/9 by 2 to get 2/18.
[tex]\frac{1}{2} +\frac{1}{9} = \frac{9}{18} + \frac{2}{18} = \frac{11}{18}[/tex]
After adding both fractions you'll get 11/18. That's your answer.
Manuel wants to replace the wooden floor at his gym. The floor is in the shape of a rectangle. Its length is 50 feet and its width is 25 feet. Suppose wood flooring costs $8 for each square foot. How much will the wood flooring cost for the floor?
Answer:
$ 10,000
Step-by-step explanation:
Manuel wants to replace the wooden floor at his gym. The floor is in the shape of a rectangle. Its length is 50 feet and its width is 25 feet.
The gym floor is shaped like a rectangle
Area of a rectangle = Length × Width
= 50 feet × 25 feet
= 1250 ft²
Suppose wood flooring costs $8 for each square foot.
The wood flooring cost for the floor is calculated as
1 ft² = $8
1250ft² = x
Cross Multiply
1250 ft² × $8
$ 10,000
The wood flooring cost for the floor is $10,000
Help me plz and show work <3
what is (3 + 12) - 3² + 8 · 2 ÷ 4 ?
(please show how/ show work)
Answer:
10
Step-by-step explanation:
(3 + 12) - 3² + 8 · 2 ÷ 4
15 - 9 + 16 : 4
6 + 4
10
What was the function of the polis as it developed in Greek civilization?
Answer: "A city-state, or polis, was the community structure of ancient Greece. Each city-state was organized with an urban center and the surrounding countryside. Characteristics of the city in a polis were outer walls for protection, as well as a public space that included temples and government buildings."
"The polis was a structure of community amongst the ancient Greek world and it controlled a surrounding territory of land. An individual polis was independent from the other poleis in regards to legal, religious, social, political and judicial institutions and practices."
Answer:
~The function of the polis as it developed in Greek civilization is it was designed for areas such as private, public, religious functions and buildings. It was often used in the Iron age development for public buildings. Hoped that helped.~
Step-by-step explanation:
a quadratic function has been translated 5 units up and 7 units left and it is vertically stretched by a factor of 2
Answer:
[tex]2( {x + 7})^{2} + 5[/tex]
Step-by-step explanation:
Our Standard form for each of these transformations is
[tex]a( {x + h)}^{2} + k[/tex]
Insert each value into the appropriate.
K is for vertical movement
h is for horizontal
a is for stretching/compression
I believe this is goodbye i hope i helped u guys.
if not receive this as a token of my appreciation
Answer:
goodbye??? what're you going to bed? you alr my dude?
Step-by-step explanation: