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.
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.
need help plzz answer
Maria's dinner bill is $21.89 after tax. If she wants to leave a 15% tip, what will the total cost of the dinner be?
Please Answer
Answer:
Step-by-step explanation:
The answer would be, 25.17.
You need to multiple the total by 0.15 . Then add the answer to the total.
Answer:
$25.17
Step-by-step explanation:
$21.89 multiplied by 0.15 equals $3.28.
You then add the original bill to $3.28 which equals $25.17 for the total cost.
solve for x
-1+30x+24=6(5x+4)
???
Answer:
No solution.
Step-by-step explanation:
Write the expression, combine like terms, and distribute.
-1+30x+24=6(5x+4)
30x+23=30x+24
Get rid of the variable first because they're both 30x (it makes it a lot easier).
30x+23=30x+24
-30x -30x
23=24
23 is not equal to 24. When this happens, it means there is no solution, and that's just the answer.
Hope this helps you out!! Have a great day C:
Which equation represents the line that passes through (–6, 7) and (–3, 6)?
y = –y equals negative StartFraction one-third EndFraction x plus 5.x + 9
y = –y equals negative StartFraction one-third EndFraction x plus 5.x + 5
y = –3x – 11y
y = –3x + 25
Answer:
y = - [tex]\frac{1}{3}[/tex] x + 5
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
Calculate m using the slope formula
m= [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]
with (x₁, y₁ ) = (- 6, 7) and (x₂, y₂ ) = (- 3, 6)
m = [tex]\frac{6-7}{-3+6}[/tex] = [tex]\frac{-1}{3}[/tex] = - [tex]\frac{1}{3}[/tex] , thus
y = - [tex]\frac{1}{3}[/tex] x + c ← is the partial equation
To find c substitute either of the 2 points into the partial equation
Using (- 3, 6 ), then
6 = 1 + c ⇒ c = 6 - 1 = 5
y = - [tex]\frac{1}{3}[/tex] x + 5 ← equation of line
Answer:
B
Step-by-step explanation:
Based on this persons answer this is what it it
ILL MARK BRAINLIEST PLS NEED HELP
Answer:
Hello!!! Princess Sakura here ^^
Step-by-step explanation:
These type of problems could be a little tricky so I'll explain this one as I go.
So the first step I would do is to multiply the 8 in both sides so you end up with...[tex]x+11=-24[/tex]
After that it should be easier and you'll go at it normally by subtracting the 11 in both sides and that should leave you with the answer of [tex]x=-35[/tex]
Which number is equivalent to the fraction 15/7? 2
2 1/7
7/15
1 8/7
Answer:
2 1/7
Step-by-step explanation:
Answer:
2 1/7, is 15/7(improper fraction) as a mixed fraction, and
1 8/7 is an improper mixed fraction equivilent to 2 1/7.
Step-by-step explanation:
15/7 = 7/7 + 7/7 + 1/7 = 1 + 1 + 1/7 = 2 1/7
1 8/7 = 1 + 8/7 = 1 +7/7 + 1/7 = 1 + 1 + 1/7 = 2 1/7
Help me am confused
9514 1404 393
Answer:
{ (-441/23, 433/23) }
Step-by-step explanation:
The "cross-multiplication method" is usually shown as follows:
1. rewrite the equations in general form: ax +by +c = 0
2. write the coefficients in two row in the order b, c, a, b.
3. form three products, each being the number in the first row times the number to its right in the second row. That is, b1·c2, c1·a2, a1·b2
4. form three more products, each being the number in the second row times the number to its right in the first row. That is, b2·c1, c2·a1, a2·b1
5. form three differences, subtracting the products of step 4 from those of step 3. Call these differences d1, d2, d3. (For example, d1=b1c2-b2c1.)
6. The values of x and y satisfy the equations ...
x/d1 = y/d2 = 1/d3
which is to say, ...
x = d1/d3, and y = d2/d3
_____
For your equations, we can rewrite them as ...
11x +12y -15 = 012x +11y +23 = 0Then our rows of coefficients are ...
[tex]\begin{array}{cccc}12&-15&11&12\\11&23&12&11\end{array}[/tex]
And our differences are ...
d1 = 12(23) -11(-15) = 441
d2 = -15(12) -23(11) = -433
d3 = 11(11) -12(12) = -23
The relations between x and y are ...
x/441 = y/-433 = 1/-23
so, x = -441/23 and y = 433/23
The solution set is one ordered pair: { (-441/23, 433/23) }.
_____
Additional comments
The final solution is identical to the formula arrived at using Cramer's Rule. Calling this the "cross-multiplication method" avoids any discussion of matrices and determinants.
need help on finding the perimeter in feet
Answer:
30 ft
Step-by-step explanation:
7.5 + 12.5 + 10 = 30 ft
A set of ordered pairs is called what?
Answer:
A relation
Step-by-step explanation:
Answer:
A relation is a set of ordered pairs. The set of all first components of the ordered pairs is called the domain of the relation and the set of all second components of the ordered pairs is called the range of the relation.
Step-by-step explanation:
If 5 little pumpkins cost $12, how much money do you need to buy 23 little 7 points
pumpkins?
54
55.2
56
57.2
Answer:55.2
Step-by-step explanation: first, find the unit price which is 2.4
Then 2.4 • 23 because you are buying 23 pumpkins and then you would get 55.2 but since you are talking about money, it would be $55.20
answerrrr please . thanks xoxo
y-2>11
Answer:
y >13
Step-by-step explanation:
y - 2 > 11
solve like how you would solve an equation, with inverse operations
y -2 > 11
+2 +2
y > 13
Answer:
it shoud just be y>13
Step-by-step explanation:
bc you add 2 to each side which cancels the -2 on the left and makes the 11 on the right 13
PLEASE HELP THE ONES I CIRCLE ARE THE ONES YOU DO
Answer:
1 is a competition, 2 is protection, 5 is division, and 8 is solution.
Step-by-step explanation:
hope these are all correct and you ace this!
You have a recipe that requires 1/3 cup of sugar but you only want to make a fourth of the recipe how much sugar do you need to make this fraction of the recipe? A) 1/12 cup b) 7/12 cup c) 3/4 cup d) 4/3 cup
Answer:
A
Step-by-step explanation:
how I solved it was 4x3=12
Answer:
A.
Step-by-step explanation:
That is 1/4 * 1/3 = 1/12,
The cost of 6 team sweatshirts is $84.
At this price, how much would it cost to
buy sweatshirts for a whole team of 24
players?
Answer:
336
Step-by-step explanation:
Write a quadratic function in standard form whose graph passes through (-2,0), (3,0), and
(2, – 32).
Answer:
y = -8x^2 - 8x - 48
Which is an equation of a line with a slope of 1/2 that contains the point (-4,7)?
9x - 8> 40 +7
help !!!!!!!!
Answer: x>55/9
Step-by-step explanation: Divide both sides by 9
x-(55/9) > 0
Add 55/9 to both sides
x > 55/9
Inequality plot for
9.000 x - 55.000 > 0
Suppose m is the line with equation y = −4 and ΔA'B'C is mapped to ΔA"B"C" by applying the glide reflection T3, 0 Rm.
What are the coordinates of ΔA″B″C″?
Answer:
The coordinates of ΔA''B''C'' are;
A''(-1, -3), B''(-2, -6), C''(1 , -7)
Step-by-step explanation:
A glide reflection involves the reflection of the preimage over a given line, followed by the translation of the resulting image along the given line
Given that the coordinates of the triangle ΔA'B'C' are;
A'(-4, -5), B'(-5, -2), C'(-2, -1), we have by reflection across the line y = -4
A''(-4, -4 + 1) = A''(-4, -3)
B''(-5, -4 - 2) = B''(-5, -6)
C''(-2, -4-3) = C''(-2, -7)
Translation of A''B''C'' by T 3, 0, we have;
A''(-4, -3) → T₃, ₀ → A''(-4 + 3, -3) = A''(-1, -3)
B''(-5, -6) → T₃, ₀ → B''(-5 + 3, -6) = B''(-2, -6)
C''(-2, -7) → T₃, ₀ → C''(-2 + 3, -7) = C''(1 , -7)
The coordinates of ΔA''B''C'' are therefore;
A''(-1, -3), B''(-2, -6), C''(1 , -7).
Answer:
A″(−1, −3), B″(−2, −6), C″(1, −7)
option A
Help urgent!!!!!!!!!!!
Answer:
X= -5x hope this helped :)
how are translations described mathematically
Answer:
In geometry, a translation is the shifting of a figure from one place to another without rotating, reflecting or changing its size. This is done by moving the vertices of the figure the prescribed number of spaces on a coordinate plane and then drawing the new figure.
1. To participate in a school trip, Kim had to earn $85 in one week. Kim could earn $8 per
hour babysitting and $15 per hour for yard work, but Kim's parents limit work time to 8
hours per week. How many hours should she spend doing each type of work?
a
First define your variables.
b. Write two equations, one that represents the condition on the total number of hours to be
worked and the other which relates the number of hours worked at each job towards her
goal.
I aredy know it but can ya put it and see if I’m right plz :>
I need help with dis
Answer:C is supposed to be in eight and six/ 8 and 10 should be 40
Step-by-step explanation:
Answer:
1=8, 2=24, 3=40
Step-by-step explanation:
what is 0.000 0643 in standard form form ?
and what is 0.000 000 205 in standard form?
0.000 000 005 009
Answer:
See below
Step-by-step explanation:
[tex]0.000 0643 = 6.43 \cdot 10^{-5}[/tex]
[tex]0.000 000 205 = 2.05 \cdot 10^{-7}[/tex]
[tex]0.000 000 005 009 = 5.009 \cdot 10^{-9}[/tex]
what kind of sequence is this?
-117, -114, -110, -105,...
Answer:
Finite
Step-by-step explanation:
When the sequence goes on forever it is called an infinite sequence,
otherwise it is a finite sequence
Examples:
{1, 2, 3, 4, ...} is a very simple sequence (and it is an infinite sequence)
{20, 25, 30, 35, ...} is also an infinite sequence
Hope this Helps! :)
Have any questions? Ask below in the comments and I will try my best to answer.
-SGO
Please help im timed:)
Answer:
A
Step-by-step explanation:
Simplify and subtract.
Answer:
Step-by-step explanation:
4(0.5x+2.5y-0.7x-1.3y+4)
2x+10y-2.8x-5.2y+16
-0.8x+4.8y+16
this is my sisters work i dont want her to fail so please
im busy doing science
Answer:
$9,635.00
Step-by-step explanation:
41 bracelets×$235.00=$9,635.00
First can I just say, those are some expensive jewelry!
l
Step-by-step explanation:
The amount of bracelets that she sold last month, (Saturday + Sunday) is 41. So last month she sold 41 bracelets.
Each bracelet cost $235 so we have to multiply to amount of money one bracelet cost, times how many she sold.
$235 x 41 = $9635
She made $9635 by selling bracelets last month.
NEED HELP ASAP WILL GIVE BRAINLY IF CORRECT
Answer:
500/40125/vDensitym/vI hope this helps!
ANSWER BRIEFLY AND FAST FOR GUARANTEED BRAINLY AND POINTS!
• commutative property
• addition property of equality
• 2x=8
• distributive property
• division property of equality
• x=4
• multiplication property of equality
• subtraction property of equality
Answer:
See below
Step-by-step explanation:
[tex]2(x+5)-3 =15[/tex]
Using the distributive property in the LHS we get
[tex]2x+10-3 =15[/tex]
[tex]2x+7=15[/tex]
Now add -7 both sides. So we have the subtraction property of equality.
[tex]2x+7+(-7)=15+(-7) \text{ This is what I meant for add}[/tex]
[tex]2x+7-7=15-7[/tex]
[tex]2x=8[/tex]
Now divide both sides by 2. So we have the division property of equality
[tex]\dfrac{2x}{2} =\dfrac{8}{2}[/tex]
[tex]x=4[/tex]