Highschool level trigonometry!!! Need help knowing step by step how to find answer!
A ladder is 15 m long. The top of the ladder rests against the wall of a house, and the foot rests on level ground 2m from the wall. Draw a diagram to illustrate the situation. Calculate the angle between the ladder and the ground.
Answers
Answer:
[tex]\theta \approx 82.34^\circ[/tex]
Step-by-step explanation:
Please refer to the attached diagram. (Apologies if the shading or resolution is a bit off.)
So, we want to find θ.
Since we formed a right triangle, we can use right triangle ratios.
We know the measure of the adjacent side to θ and the hypotenuse.
Therefore, we will use the cosine ratio:
[tex]\displaystyle \cos(\theta)=\frac{\text{adjacent}}{\text{hypotenuse}}[/tex]
The adjacent side is 2 and the hypotenuse is 15. By substitution:
[tex]\displaystyle \cos(\theta)=\frac{2}{15}[/tex]
Now, we will take the inverse cosine of both sides. So:
[tex]\displaystyle \theta=\cos^{-1}\Big(\frac{2}{15}\Big)[/tex]
Use a calculator. Hence:
[tex]\theta \approx 82.34^\circ[/tex]
The angle between the ground and the ladder is about 82.34°.
Related Questions
PLEASE ANSWER ASAP FOR BRAINLEST!!!!!!!!!!!!!!!!!
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Answer:
Both are correct because S is greater than P by 4 and P is smaller than S by 1/4.
Step-by-step explanation:
What is the equation of the graphed line written in
standard form?
O 2x + 3y =-6
O 2x + 3y = 6
O y=-2/3x -2
O y=2/3x-2
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Answer:
the answer is A
Step-by-step explanation:
I need help with a portion web
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Answer:
wow 13 point yay
Step-by-step explanation:
A business developer would like to purchase an abandoned corner lot in a small town and build a small convenience store with gasoline pumps on the site. Town leaders are concerned about potential traffic and noise impact to the adjacent neighborhood and send printed surveys to 500 homes in the affected area. Of the 123 surveys returned, 87% oppose the plan to develop the corner lot. How could the sampling design cause town leaders to overestimate or underestimate overall support of the development plan?
(A) The leaders may underestimate support because only 123 surveys were returned.
(B)The leaders may overestimate overall support because many residents who did not receive surveys will support the plan.
(C)The leaders may underestimate overall support because many residents who support the plan may be less likely to respond.
(D)The leaders may underestimate support because it can be assumed that all residents who did not return the surveys would support the plan.
Answers
Answer:
C
Step-by-step explanation:
Just took the test.
Answer:
C. The leaders may underestimate overall support because many residents who support the plan may be less likely to respond.
Step-by-step explanation:
Edge 2021
Help please! I can’t seem to solve this!!!
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Answer: C
Step-by-step explanation:
Answer:
C
Step-by-step explanation:
Please answer this correctly without making mistakes
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Answer:
3 tons, 1110 pounds
Step-by-step explanation:
A Ton weighs 2000 pounds, first convert the 4 tons.
You can solve this by multiplying 4 times 2000, and you will get 8000.
Now Add 8000 to 422, and your solution: 8422.
Now subtract 8422 by 1312, and you will get 7110.
Now convert this back to tons, start thinking, how many times can 2000 go into 7110.
That would be 3 my good sir.
Your Remainder: 1110 Pounds
Your Answer: 2 Tons, And 1110 Pounds.
Hope It Helps!
Bill has 5 cups of strawberries he uses 2 and 1/6 to make smoothies he uses the rest of the strawberries to make fruit cups he needs 2/3 cups of strawberries for each fruit cup how many fruit cups can he make
Answers
Answer: Total fruit cups made = [tex]4\dfrac14[/tex]
Step-by-step explanation:
Total cups of strawberries = 5
Cups used for smoothies = [tex]2\dfrac16=\dfrac{13}{6}[/tex]
Since rest of the strawberries are used to make fruit cups = [tex]5-\dfrac{13}{6}=\dfrac{30-13}{6}=\dfrac{17}{6}[/tex]
Cups of strawberries for each fruit cup = [tex]\dfrac23[/tex]
Total fruit cups made = (rest of the strawberries ) ÷(Cups of strawberries for each fruit cup)
[tex]=\dfrac{17}{6}\div \dfrac23\\\\=\dfrac{17}{6}\times\dfrac32\\\\=\dfrac{17}{4}\\\\=4\dfrac14[/tex]
∴ Total fruit cups made = [tex]4\dfrac14[/tex]
What is 54 in the ratio 4:4:1
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Step-by-step explanation:
[tex]\huge\bold\purple{ 24,24,6 \:is\:right\:answer }[/tex]
25 POINTS!! (EASY)MORE POINTS!!!!!!! BRAINLIEST PLSSSSSSSSSSSSSSSSSSSHELP. For Brainliest Please help)
Find the numbers if-
A) 0.6of it is 30
B)1.5 of it is30
C)1.6 of it is 32
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Answer:
A) 50
B) 20
C) 20
Step-by-step explanation:
To solve the first question, we can multiply both sides by 10.
Thus, we get:
6x = 300.
Then, divide by 6, to get x:
x = 50.
You can do the same thing to all of these questions.
I've already checked the answers, but if you don't trust them, just pluck the values in.
For example, let's check the answer for question A.
0.6*50 is supposed to equal 30.
Does it equal? Yes, so we know that the answer is correct.
Find and equation for the perpendicular bisector of the line segment whose endpoints are (-9, 5) and (-1,9).
Answers
Answer:
√(-9 - -1) 2 + (5 - 9) 2
Step-by-step explanation:
This would be the equation, I just answered a similar question for another fellow/lady. So how it would look for future reference is
√(xa - xb) 2 + (ya - yb) 2
The 2s would be small signifying that you would square it ( lol guessing you know that) and the xa - yb would be the cordinates. A for the first set of numbers and B for the second set of numbers.
If i could get brainliest that would be great! Im so close to virtuos and i only need 4 more brainliest to get there! Help a stranger out?
Anyway have a great day and hoped it helped! :D
Please help me asap thank you!
Answers
Answer:
25a-20
Step-by-step explanation:
15a+10a-20=
25a-20
William has ten colored game pieces in a box: 3 yellow pieces, 5 orange pieces, 1 green piece, and 1 red piece. What is the probability that if he randomly pulls a game piece out of the box it will be orange? Enter your answer as a decimal.
Answers
Answer:
.5
Step-by-step explanation:
.5
yellow= .30
orange= .50
green= .10
red- .10
The required probability of randomly selecting an orange piece is 0.5.
What is probability?Probability is defined as the possibility of an event being equal to the ratio of the number of favorable outcomes and the total number of outcomes.
William has ten colored game pieces in a box: 3 yellow pieces, 5 orange pieces, 1 green piece, and 1 red piece.
There are a total of 10 game pieces in the box.
Out of those, 5 are orange.
This means the number of favorable outcomes = 5 and the total number of outcomes = 10.
So, the required probability is :
5/10, or 0.5 (5 divided by 10, expressed as a decimal).
Therefore, the probability of randomly selecting an orange piece is 0.5.
Learn more about probability here:
brainly.com/question/11234923
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5(x-1)=23 solve the equation
Answers
Answer: 28/5 or 5.6
Step-by-step explanation:
5(x-1) = 23 Distribute on the left side
5x - 5 = 23 Add 5 to both sides
+5 +5
5x = 28 Divide both sides by 5
x = 28/5
Answer:
x = 28/5
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightEquality Properties
Multiplication Property of Equality Division Property of Equality Addition Property of Equality Subtract Property of EqualityStep-by-step explanation:
Step 1: Define
5(x - 1) = 23
Step 2: Solve for x
Divide 5 on both sides: x - 1 = 23/5Add 1 to both sides: x = 28/5Step 3: Check
Plug in x into the original equation to verify it's a solution.
Substitute in x: 5(28/5 - 1) = 23(Parenthesis) Subtract: 5(23/5) = 23Multiply: 23 = 23Here we see that 23 does indeed equal 23.
∴ x = 28/5 is the solution to the equation.
Determine whether the given arc is a minor arc, major arc or semicircle.
A)minor arc
B)semicircle
C)major arc
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The given arc FBD is a ''Major arc''.
What is mean by Circle?The circle is a closed two dimensional figure , in which the set of all points is equidistance from the center.
We have to given that;
An arc FBD is shown in figure of circle.
Now, By the figure of circle,
The measure of arc FBD is a ''Major arc''.
Thus, The given arc FBD is a ''Major arc''.
Learn more about the circle visit:
https://brainly.com/question/24810873
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What happens to the value represented by the digit 4 in 120,485 if 4 is moved one
place to the left?
Answers
Answer:
Its value will change from 400 to 4000
Step-by-step explanation:
Where the 4 is now, it is the hundreds place, so that 4 stands for 400.
If you move the 4 one place to the left, it will be in the thousands place, so the 4 will represent 4000.
Answer: Its value will change from 400 to 4000
A triangular prism and two nets are shown:
A right triangular prism is shown with two nets. The triangular base of the prism has height 5 inches, base 12 inches, and hypotenuse 13 inches. The length of the prism is 15 inches. Net A has 3 rectangles having dimensions 5 by 15, 15 by 12, and 15 by 13, and two triangles having legs 5 inches and 12 inches. Net B has 3 rectangles having dimensions 5 by 13, 13 by 12, and 13 by 15, and two triangles having legs 5 inches and 12 inches.
Which is the correct net of the prism and what is the surface area of the prism?
Net B with 420 square inches
Net B with 500 square inches
Net A with 510 square inches
Net A with 450 square inches
Answers
Answer:
Net for the prism will have 3 rectangles with dimensions 5 by 15, 12 by 15 , and 13 by 15, and 2 triangles with legs 5 inches and 12 inches.
The correct net is net a.
Surface area = sum of areas of the three rectangles and sum of the two triangles.
SA = (5 x 15) + (12 x 15) + (13 x 15) + (5 x 12) = 75 + 180 + 195 + 60 = 510 square inches.
Step-by-step explanation:
Hope this helped
James is following this recipe to make flapjacks.
James uses 330 g of sugar
How many flapjacks is James making?
Recipe: Makes 15 flapjacks
110 g margarine
150 ml syrup
220 g oats
110 g sugar
60 g sultanas
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Answer:
A student studies the graph shown below and determines that the reflection of point A over the x-axis will result in a point at (6, 3). State whether or not the student is correct, and explain how the correct answer can be found or confirmed.
Step-by-step explanation:
Ms. Perez has a beautiful cat named Tarzan. He weighs 12 pounds. How many ounces does Tarzan weigh?
Answers
Answer:
192
Step-by-step explanation:
16 ounces = 1 pound
16 x 12 = 192
which inequality represents this situation?the number of students,s,who rides in a bus is less than 30
Answers
Answer:
b
Step-by-step explanation:
b
Jon is drawing a quadrilateral.
The length of each side is 5.2cm to 1 decimal place.
Complete the error interval for the length of one side.
And Complete the error interval for the perimeter.
Please help with this one urgently.
Answers
Answer:
We know that the measure of each side is:
5.2cm to 1 decimal place.
Then we can assume that the error is 0.05cm (half of the second decimal place).
With this, the interval of the length of each side will be:
(5.2cm - 0.05cm) = 5.15cm (as the minimum)
(5.2cm + 0.05cm) = 5.25cm (as the maximum)
Then the interval is (5.15cm, 5.25cm)
2) We know that the perimeter of a square of sidelength L is:
P = 4*L
In this case, the minimum perimeter will be if we choose the smallest sidelength, this is:
P = 4*5.15cm = 20.6cm
And the maximum perimeter can be:
P = 4*5.25cm = 21cm
Then the interval is: (20.6cm, 21cm)
Here we can see that the error for the perimeter is 0.2cm, which is equal to 4 times the error of the length of a side (0.05cm) , as expected.
ON Saturday, 75 kids went to the beach, but only 48 kids went swimming. How many kids did not swim?
Answers
Answer:
27
Step-by-step explanation:
75-48=27
Answer:
27
Step-by-step explanation:
75-48=27
there ya go I hope this helps
A = {3, 5, 7, 9} and B = {1, 2, 4, 6, 7, 9}
Find the intersection: A Intersects withB.
{7, 9}
{1, 2, 3, 4, 5, 6, 7, 9}
{1, 3, 5}
{2, 4}
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i need help on this math is it possibe it could ve done asap
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Answer:
student A: the third step, they subtracted 16 squared from 24 squared, without figuring out what the squared values were.
student B: is correct
student C: step four, they didn't find the square root of 320, they kind of just took the square off of b and called it good.
Step-by-step explanation:
i hope this helps :)
What is x in 3x - 7 = 11
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Answer:
x = 6
Step-by-step explanation:
3x - 7 = 11
3x = 11 + 7
3x = 18
x = 6
paul needs to find the number of people in his gymnasium who want the gym hours to be extended till late night. which of the following sample group should be in the survey to get the best results?
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Answer:
b
Step-by-step explanation:
Took the test
what is the standard form for graphs of y-5=4/5(x-30)
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Answer:
y=0.8*x -19
Step-by-step explanation:
y-5=4/5(x-30)
5*(y-5)=5*(4/5(x-30))
5y-25=4x-120
5y=4x-120+25
5y=4x-95
y=(4/5)*x -19
y=0.8*x -19
a rectangular box has length 20 cm width 6 cm and height 4 cm find how many cubes of side 2 cm that will fit into the box
Answers
Answer:
60Step-by-step explanation:
Get the volume of the rectangular box
Volume of the rectangular box = length * width * height
Volume of the rectangular box = 20 * 6 * 4
Volume of the rectangular box = 480cm³
Get the volume of the cube;
Volume of the cube = l³
Volume of the cube = 2³
Volume of the cube = 8cm³
Amount of 2cm³ cube that will fit = volume of the box/volume of the cube
Amount of 2cm³ cube that will fit = 480/8
Amount of 2cm³ cube that will fit = 60
Hence 60 2cm³ cube will fit into the box
Plz help me plz I am timed
Answers
Answer:
g <= 2
Step-by-step explanation:
Subtract one from both sides.
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Which system of equations has the same solution as the system below?
4x + 4y = 16
3x + 2y = 3
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Step-by-step explanation:
this is the correct answer
find the unit rate for each situation.
1) 350 words in 5 minutes
2) 200 meters in 40 seconds
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Answers below.
1. 70 words a minute. (350/5=70)
2. 5 meters per second. (200/40 = 5)
Hope this helps!