Answers
Related Questions
Two cables, with lengths of 40 feet and 35 feet, are tied from the top of a pole to stakes in
the ground. If the stakes are 30 feet apart, find the height of the pole.
Answers
Answer:
The height of the pole is 33.89 feet.
Step-by-step explanation:
Since the length of the cables are 35 feet and 40 feet respectively, the 40 feet cable being farthest from the pole. We know that they are 30 feet apart. This forms a scalene triangle in which the angle between the 40 feet cable and the distance apart of the cables ( or ground) is the angle of elevation of the pole from the 40 feet cable.
So, we use the cosine rule to find this angle of elevation. So,
b² = a² + c² - 2accosB where a = 40 feet , b = 35 feet, c = 30 feet and B = angle of elevation of top of pole from 40 feet cable.
cosB = (a² + c² - b²)/2ac
cosB = (40² + 30² - 35²)/(2 × 40 × 30)
cosB = (1600 + 900 - 1225)/2400
cosB = 1275/2400
cosB = 0.53125
B = cos⁻¹(0.53125)
B = 57.9°
Since we now have the angle of elevation of the top of the pole from the 40 feet cable, we now find the height h of the pole from
sinB = h/40 since the 40 feet cable, the ground and the pole form a right-angled triangle.
h = 40sinB
h = 40sin57.9°
h = 40 × 0.8472
h = 33.89 feet
So, the height of the pole is 33.89 feet.
Does anyone know the answer to question one: How many lawns will Dominic need to mow in order to make $240?
Answers
Answer:
40
Step-by-step explanation:
which of the following is an equivalent form of the compound inequality -22>-5x-7>-3
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Answer:
Step-by-step explanation:
Move all terms not containing x from the center section of the inequality.
False
Or
Move all terms not containing the variable from the center section of the inequality.
No solution
Sorry, I couldn't fully understand your question but-
Hope This Helps!
help me out people, ill give brainliest to whoever answers best :P
Answers
Answer:
2 a
No the solution is not the same for both moves.
because the result is not the same.Also the first move lead to an error.
2 b
The solution is d=0
a six pack of soda is on sale
Answers
Answer:
that is not complete you would need the starting price and the percentage
hope that helps good luck
Answer:
what's the question?
Step-by-step explanation:
i dont know cz u didnt put the question n only a lil bit of information
Given: Lines a and b are parallel and line c is a transversal. Prove: Angle2 is supplementary to Angle8 Horizontal and parallel lines a and b are cut by transversal c. On line a where it intersects line c, 4 angles are created. Labeled clockwise, from uppercase left, the angles are: 1, 2, 4, 3. On line b where it intersects line c, 4 angles are created. Labeled clockwise, from uppercase left, the angles are: 5, 6, 8, 7. What is the missing reason in the proof? Statement Reason 1. a || b, is a transv 1. given 2. ∠6 ≅ ∠2 2. ? 3. m∠6 = m∠2 3. def. of congruent 4. ∠6 is supp. to ∠8 4. def. of linear pair 5. ∠2 is supp. to ∠8 5. congruent supplements theorem corresponding angles theorem alternate interior angles theorem vertical angles theorem alternate exterior angles theorem
Answers
Answer:
The correct option is;
Corresponding angles theorem
Step-by-step explanation:
Type of lines of lines a and b = Horizontal and parallel lines
The transversal to a and b = Line c
The angles between a and c labelled clockwise from the upper left quarter segment = 1, 2, 4 and 3
The angles between b and c labelled clockwise from the upper left segment = 5, 6, 8 and 7
Therefore, we have;
Statement [tex]{}[/tex] Reason
1. a║b, c is a transversal [tex]{}[/tex] Given
2. ∠6 ≅ ∠2 [tex]{}[/tex] Corresponding angles theorem
3. m∠6 = m∠2 [tex]{}[/tex] Definition of congruent
4. ∠6 is supp. to ∠8 [tex]{}[/tex] Definition of linear pair
5. ∠2 is supp. to ∠8 [tex]{}[/tex] Congruent supplement theorem
Corresponding angles are the angles located in spatially similar or matching corners of two lines that have been crossed by the same transversal. When the two lines having a common transversal are parallel, the corresponding angles will be congruent.
which of the following expression is NOT equivalent to -17 -(-5)?
A: 5+(-17)
B: -17-5
C:-17+5
D:-12
Answers
Answer:
The answer is B.
Reasoning:
-17 - (-5) = -12A. 5 + (-17) = -12✔
B. -17 - 5 = -22 ✖
C. -17 + 5 = -12 ✔
D. -12 ✔
Answer:
B: -17+5
Step- by- step explanation
Please help
...................
Answers
Answer:
It is the third one!
Step-by-step explanation:
Hello, Can you please help me with this problem? It's due at 9:00 pm (Please answer the whole thing if you can!) This is not for me it's for my little sister.
Update : I give you The picture
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2)6 7+7+7+7+7+7 =42 7•6=42
3)13 8+8+8+8+8+8+8+8+8+8+8+8+8=104
13•8=104
4) 12 14+14+14+14+14+14+14+14+14+14+14+14 14•12=168
Lilianna uses 3/4 calories per minute just by sitting. She uses 1 more calorie per minute by walking. Lilianna uses a total of 12 1/4 calories walking to the park. Lilianna uses the equation, d(3/4+1)=12 1/4 to represent the situation. what does the variable d represent in the equation?
A) Calories per minute Lilianna uses walking
B)Number of calories Lilianna would have used sitting
C) Number of minutes Lilianna walked
PLEASE HELP
12POINTS
Answers
Answer:
C) Number of minutes Lilianna walked
Step-by-step explanation:
Step-by-step explanation:
Lilianna uses \frac{3}{4} calories per minute just by sitting. She uses 1 more calorie per minute by walking.
Liliana uses a total of 12\frac{1}{4} calories walking to the park.
Lilianna uses the equation, d(\frac{3}{4}+1)=12\frac{1}{4} to represent the situation.
Here, variable d represents the time per minute she spends in the park.
and is given as,
d(\frac{3}{4}+1)=12\frac{1}{4}
It can be written as,
d(\frac{3}{4}+1)=\frac{49}{4}
Solving for d,
d(\frac{3}{4}+1)=\frac{49}{4}
\Rightarrow d(\frac{3+4}{4})=\frac{49}{4}
\Rightarrow d(\frac{7}{4})=\frac{49}{4}
\Rightarrow d=\frac{49 \times 4}{4 \times 7}
\Rightarrow d=7
Thus, she spend d= 7 minutes total to the park.
A township is a U.S. land measurement of about 36 square miles. About how many square miles are in 2 1/2 township
Answers
Answer: 90 sqm
Step-by-step explanation:
The township's land measurement is 36 square miles. If you want to know the measurement in 2 1/2 townships you need to multiply 2 1/2 times the square miles in a single township.
Step 1: Convert 2 1/2 to an improper fraction.
2 1/2 = 5/2
Step 2: Multiply
5/2 x 36/1 = 180/2 = 90 sqm
help!!
Kathryn had $20 saved and saved $5 each week, w, after. Write an algebraic expression to represent the amount she has saved after a certain number of weeks.
Answers
Answer:
20 + 5w
Step-by-step explanation:
20 + 5w
Were 20 is the amount she already has, and 5w is 5 times the unkown amount of weeks (w).
Pls consider marking me as Brainliest! It would mean a lot!
Answer: 5w + 20
Step-by-step explanation:
Because if she earns 5 every week that’s 5w and if she already had 20 that’s +20. So it’s 5w + 20 or 20+5w
Modeling Task 1
A cell phone company charges a monthly rate of $14 and $0.25 a minute per call.
Judy's total cell phone bill is $50. How many minutes, m, was Judy charged for?
Make sure to define your variable, write an equation, solve the equation, and
write a sentence.
Answers
Answer:
144 minutes
Step-by-step explanation:
The equation will be 14 + 0.25x = 50
50 - 14 = 36
0.25x = 36
36/0.25 = 144 minutes
Please help! Will give 10 points and brainliest to first...only need 2,4,6,8
Answers
Answer:
Step-by-step explanation:
2: 1:4 scale factor
4: 4/5 = x/15. 5x=60. x is 12
6: it's a 2:7 ratio. so x would be 8 and y would be 35
8... it's a 4:7 ratio, as both 52 and 91 are divisible by 13 so there's the scale factor
4/7=x+3/2x-1. 7x+21=8x-4
Like terms on both sides
x=25
Yesterday the temperature at noon was 25.9°F. By midnight, it had decreased by
26°F. What was the temperature at midnight?
Answers
Answer:
-.1 degrees
Step-by-step explanation:
Answer:
- 0.1 Fahrenheit
Step-by-step explanation:
Its just 25.9- 26
find the distance between a(-3,1) and b(-5,5)
Answers
Answer: 6.4236
Step-by-step explanation:
(2x3 + x4 - 6x2 + 11x - 10) divided (x2 + 2 - x)
Answers
Answer:
I think x 2 +3x−5
Step-by-step explanation:
What exactly do I do...
Answers
Answer:
Step-by-step explanation:
So first you want to number your graph
The first number you want to graph is the first one on the x line, If you numbered in ones it should be 4 to the left from the center
Next graph the 2nd number on the y line, draw a line and connect the -4 and the 7
Answer:
7.9 units
Step-by-step explanation:
You are required to find the distance between the points P and Q whose coordinates are given:
P (0, 0), Q(-4, 7)
[tex] QP= \sqrt{ {( - 4 - 0)}^{2} + ( {7 - 0})^{2} } \\ \\ = \sqrt{( - 4) ^{2} + {(7)}^{2} } \\ \\ = \sqrt{16 + 49} \\ \\ = \sqrt{63} \\ \\ = 7.93725393 \\ \\ = 7.9 \: units[/tex]
Approximate the mean of the grouped data for the ages of the residents of a town.
The approximate mean age is years.
(Round to one decimal place as needed.)
Age
0-9
10-19
20-29
30-39
40-49
50-59
60-69
70-79
80-89
Frequency
57
73
39
65
60
47
37
13
18
Answers
Answer:
The mean age of the frequency distribution for the ages of the residents of a town is 43 years.
Step-by-step explanation:
We are given with the following frequency distribution below;
Age Frequency (f) X
0 - 9 30 4.5 135
10 - 19 32 14.5 464
20 - 29 12 24.5 294
30 - 39 20 34.5 690
40 - 49 25 44.5 1112.5
50 - 59 53 54.5 2888.5
60 - 69 49 64.5 3160.5
70 - 79 13 74.5 968.5
80 - 89 8 84.5 676
Total 242 10389
Now, the mean of the frequency distribution is given by the following formula;
Mean =
= = 42.9 ≈ 43 approx.
Hence, the mean age of the frequency distribution for the ages of the residents of a town is 43 years
Find the volume of the box.
3
6 ft
5 Ft
The volume of the box is
cubic feet.
Answers
length x width x height
6 x 5 x 3
that equals 90
The function y = -3x + 42 models the average number of dogs at an animal shelter, where x is the number of days after July 1. The
function y = 4x + 7 models the average number of cats at the animal shelter, where x is the number of days after July 1. After how many
days is the average number of cats and dogs at the shelter the same?
Answers
Answer:
27 days
Step-by-step explanation:
I put a picture of the graph for you.
-\dfrac23p+\dfrac15-1+\dfrac56p−
3
2
p+
5
1
−1+
6
5
p
Answers
Answer:
p=3
Step-by-step explanation:
5 +5 =10 p÷3(4+6) =py
=p3
Write a story that can be represented by the following equation: x + 16 = 42
Answers
Answer:
Amanda bought 42 apples and gave 16 away how many are left.
Step-by-step explanation:
X=26
Answer:
Renee runs a dogwalking business. She walked 42 dogs over the weekend. On Saturday she walked 16 dogs but Renee can't remember how many she walked on Sunday. Write and equation to find how many dogs Renee walked on Sunday where x is the number of dogs she walked on Sunday.
Line JK passes through points J(–4, –5) and K(–6, 3). If the equation of the line is written in slope-intercept form, y = mx + b, what is the value of b?
–21
–4
11
27
Answers
Find the slope that passes between the points.
(y₂ - y₁) / (x₂ - x₁)
J(-4, -5)
K(-6, 3)
(3 - (-5)) / (-6 - (-4))
(3 + 5) / (-6 + 4)
8 / -2
-4
Now slap that slope into the formula and substitute on of the coordinates to the formula to solve for b (I'll take point K's coordinate):
y = mx + b
y = -4x + b
3 = -4(-6) + b
3 = 24 + b
3 - 24 = b
- 21 = b
b = -21
If the equation of the line is written in slope-intercept form, y = mx + b, then the value of b is -21 and is denoted as option A.
What is Slope?This is also referred to as the gradient of a line and measures its steepness and direction.
Slope = (y₂ - y₁) / (x₂ - x₁)
ParametersJ(-4, -5) and K(-6, 3)
= (3 - (-5)) / (-6 - (-4))
= (3 + 5) / (-6 + 4)
= 8 / -2
= -4
Substitute one of the coordinates into the formula to solve for b
y = mx + b
y = -4x + b
3 = -4(-6) + b
3 = 24 + b
3 - 24 = b
b = - 21
Read more about Slope of a line here https://brainly.com/question/20848
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PQRS is a parallelogram, m∠P=121∘ , and m∠S=(7x−4)∘ .
What is the value of x?
Answers
Answer:
Step-by-step explanation:
121+7x-4=180
7x-4=180-121=59
7x=59+4=63
x=63/7
x=9
It will be nice if you give me brainliest. Good luck!
Find the solution to the system of equations.
You can use the interactive graph below to find the solution.
y = -5x + 6
y = 3x – 2
X=
y =
Answers
Answer:
(1,1) X=1 Y=1
Step-by-step explanation:
x = 1
y = 1
adding characters for no reason lo
If f(x) = 3x + 2, what is f(5)?
Answers
Answer:
f(5) = 17
Step-by-step explanation:
plug in 5 in the x so 3(5)+2 =17
Answer:
17
Step-by-step explanation:
3(5) + 2 = 17
15 + 2 = 17
Aline crosses the coordinates (-4,4) and (2.-5). What is the slope
of the line?
Answers
Answer:
Step-by-step explanation:
Use the slope formula:
[tex]m = \frac{y2 -y1}{x2 - x1}[/tex]
where m = slope
Given the coordinates
(-4, 4) ---> this means x1 = -4 , y1 = 4
(2, -5) ---> this means x2 = 2 , y2 = -5
Substitute these values into the slope formula:
[tex]m = \frac{y2 -y1}{x2 - x1}[/tex]
[tex]m = \frac{-5 -4}{2 - (-4)} = \frac{-9}{2+4} = \frac{-9}{6} = \frac{-3}{2}[/tex]
The slope of the line passing through the coordinates (-4, 4) and (2, -5) is - 3/2.
What are lines and their slopes?We know lines have various types of equations, the general type is
Ax + By + c = 0, and the equation of a line in slope-intercept form is
y = mx + b.
Where slope = m and b = y-intercept.
the slope is the rate of change of the y-axis with respect to the x-axis and the y-intercept is the (0,b) where the line intersects the y-axis at x = 0.
The slope of the line passing coordinates (-4, 4) and (2, -5) can be obtained as we know slope is rise over run which is slope(m) = (y₂ - y₁)/(x₂ - x₁) = (-5 - 4)/(2 + 4) = -9/6 = - 3/2.
learn more about lines and slopes here :
https://brainly.com/question/3605446
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Which expression is equivalent to −3/4÷(−8/12)?
−3/4×8/12
3/4×(−8/12)
−3/4×12/8
3/4×12/8
NEED HELP ASAP!
Answers
Answer:
3/4 × 12/8
Step-by-step explanation:
The answer would be 3/4 × 12/8 because when multiplying two negatives, they become a positive. Also, when dividing fractions, you switch the denominator and numerator of the last fraction and multiply the first fraction by the new second fraction. (Example: In 1/2 ÷ 5/6, 5/6 becomes 6/5. Then, you multiply 1/2 by 6/5.)
The equivalent of the given expression will be the expression 3/4 x 12/8. Then the correct option is D.
What is an equivalent expression?The equivalent is the expression that is in different forms but is equal to the same value.
Making anything easier to accomplish or comprehend, as well as making it less difficult, is the definition of simplification.
The expression is given below.
⇒ −3/4 ÷ (−8/12)
Simplify the expression, then the equivalent expression will be
⇒ −3/4 ÷ (−8/12)
⇒ −3/4 x (−12/8)
⇒ 3/4 x 12/8
The equivalent of the given expression will be the expression 3/4 x 12/8. Then the correct option is D.
More about the equivalent link is given below.
https://brainly.com/question/889935
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Use the rule y = -x + 7 to fill in the blank
if (1, y) is on the graph, then y =
Answers
Answer:Y=6
Step-by-step explanation:
Y=-x+7
For -x put 1 for the -x
So y=-1+7
Y=6