A guide wire of length 108 meters runs from the top of an antenna to the ground. If the angle of elevation to the top of the antenna is 42.3 degrees, then what is the height of the antenna
Answers
Answer: Approximately 72.69 meters
Step-by-step explanation:
Antenna height = h[tex]sin(42.3)=\frac{opposite}{hypotenuse} =\frac{h}{108} \\\\108*sin(42.3)=h\\\\h=72.685[/tex]
The height of the antenna by using the Pythagoras theorem is 72.68 meters.
What is trigonometry?"Trigonometry is one of the branches of mathematics that deals with the relationship between the sides of a triangle (right triangle) with its angles".
For the given situation,
Length of guidewire = 108 meters
Angle of elevation = 42.3 degrees
Height of the antenna be 'h'.
By Pythagoras theorem,
[tex]Sine[/tex] θ = [tex]\frac{Perpendicular}{hypotenuse}[/tex]
On substituting the above values,
⇒ [tex]Sine 42.3 = \frac{h}{108}[/tex]
⇒ [tex]0.6730 =\frac{h}{108}[/tex]
⇒ [tex]h=0.6730[/tex] × [tex]108[/tex]
⇒ [tex]h= 72.68[/tex]
Hence we can conclude that the height of the antenna is 72.68 meters.
Learn more about trigonometry here
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Related Questions
plsssssssssssssssssssssssssssssssssssssssssssss quick
Answers
Answer:
D
y = mx + b
-10 is b because it´s the y intercept (the y value when x is 0).
now, the slope (m) is rise/run:
this is easier graphed, but you can see that the run is 3 (moving sideways on the x axis) and the rise is 2 (going up or down) so its 2/3.
because we are going down on the y axis, the slope is negative (so is the y intercept).
So y = -2/3 -10 is the answer.
Consider the quadratic function y = 0.3 (x-4)2 - 2.5
Determine the axis of symmetry, x =
Answers
Answer:
[tex]x=4[/tex]
Step-by-step explanation:
We have the quadratic function:
[tex]\displaystyle y=0.3(x-4)^2-2.5[/tex]
And we want to determine its axis of symmetry.
Notice that this is in vertex form:
[tex]y=a(x-h)^2+k[/tex]
Where (h, k) is the vertex of the parabola.
From our function, we can see that h = 4 and k = -2.5. Hence, our vertex is the point (4, -2.5).
The axis of symmetry is equivalent to the x-coordinate of the vertex.
The x-coordinate of the vertex is 4.
Therefore, the axis of symmetry is x = 4.
Find the first derivative for y = f(x). fox ) 3x² -5x-1 at a Pocat where a = 4
Answers
Answer:
Step-by-step explanation:
f(x) = 3x² -5x - 1
f'(x) =2*3x - 5*1 +0
= 6x - 5
f'(4) = 6*4 - 5
= 24 - 5
= 19
Janelle says that lines l and m are skew lines.
Planes B and A intersect. Plane B is vertical and contains vertical line n. Plane A is horizontal and contains horizontal line m. Line m and n are perpendicular. Line l is on plane A and it is slightly diagonal.
Is Janelle correct?
Answers
B.. No, because the lines are in the same plane.
Remember to take breaks. It can be really really skew but its going to be their tm. Maybe with more assignments but still. happy learning.
Ayo whats good
the answer's C Line p must be drawn so that it can lie in the same plane as line l.
explination
Find the value of x.
Answer choices
4 4/5
3 1/3
4 2/3
3 2/3
Answers
Set up a ratio of matching sides:
4/6 = x/5
Cross multiply
6x = 20
Divide both sides by 6
X = 3 1/3
Wade has a test score of 77% on his first test and 65% on his second test. What must he score on a third test to have an average of 80% overall?
93%
98%
89%
None of these choices are correct.
Answers
Answer: 98%
Step-by-step explanation:
The third test score = x[tex]\frac{77+65+x}{3} =80\\\frac{142+x}{3} =80\\142+x=80*3\\x=240-142=98[/tex]
Could someone help me
Answers
Hello,
I have only found 113 solutions (i have num 15 given)
nb= 1 ::: 27*n + 98= 30*n + 56===> n= 1 4
nb= 2 ::: 28*n + 95= 30*n + 67===> n= 1 4
nb= 3 ::: 29*n + 65= 30*n + 17===> n= 4 8
nb= 4 ::: 29*n + 65= 30*n + 18===> n= 4 7
nb= 5 ::: 29*n + 65= 30*n + 47===> n= 1 8
nb= 6 ::: 29*n + 65= 30*n + 48===> n= 1 7
nb= 7 ::: 29*n + 74= 30*n + 16===> n= 5 8
nb= 8 ::: 29*n + 74= 30*n + 18===> n= 5 6
nb= 9 ::: 29*n + 74= 30*n + 56===> n= 1 8
nb= 10 ::: 29*n + 74= 30*n + 58===> n= 1 6
nb= 11 ::: 30*n + 16= 29*n + 74===> n= 5 8
nb= 12 ::: 30*n + 17= 29*n + 65===> n= 4 8
nb= 13 ::: 30*n + 18= 29*n + 65===> n= 4 7
nb= 14 ::: 30*n + 18= 29*n + 74===> n= 5 6
nb= 15 ::: 30*n + 47= 29*n + 65===> n= 1 8
nb= 16 ::: 30*n + 48= 29*n + 65===> n= 1 7
nb= 17 ::: 30*n + 56= 27*n + 98===> n= 1 4
nb= 18 ::: 30*n + 56= 29*n + 74===> n= 1 8
nb= 19 ::: 30*n + 58= 29*n + 74===> n= 1 6
nb= 20 ::: 30*n + 67= 28*n + 95===> n= 1 4
nb= 21 ::: 36*n + 97= 40*n + 25===> n= 1 8
nb= 22 ::: 38*n + 59= 40*n + 27===> n= 1 6
nb= 23 ::: 38*n + 65= 40*n + 27===> n= 1 9
nb= 24 ::: 38*n + 69= 40*n + 15===> n= 2 7
nb= 25 ::: 39*n + 78= 45*n + 6===> n= 1 2
nb= 26 ::: 39*n + 82= 40*n + 15===> n= 6 7
nb= 27 ::: 39*n + 82= 40*n + 17===> n= 6 5
nb= 28 ::: 39*n + 82= 40*n + 65===> n= 1 7
nb= 29 ::: 39*n + 82= 40*n + 67===> n= 1 5
nb= 30 ::: 40*n + 15= 38*n + 69===> n= 2 7
nb= 31 ::: 40*n + 15= 39*n + 82===> n= 6 7
nb= 32 ::: 40*n + 17= 39*n + 82===> n= 6 5
nb= 33 ::: 40*n + 25= 36*n + 97===> n= 1 8
nb= 34 ::: 40*n + 27= 38*n + 59===> n= 1 6
nb= 35 ::: 40*n + 27= 38*n + 65===> n= 1 9
nb= 36 ::: 40*n + 65= 39*n + 82===> n= 1 7
nb= 37 ::: 40*n + 67= 39*n + 82===> n= 1 5
nb= 38 ::: 46*n + 87= 50*n + 39===> n= 1 2
nb= 39 ::: 46*n + 87= 52*n + 9===> n= 1 3
nb= 40 ::: 47*n + 68= 50*n + 29===> n= 1 3
nb= 41 ::: 47*n + 83= 50*n + 26===> n= 1 9
nb= 42 ::: 47*n + 98= 51*n + 6===> n= 2 3
nb= 43 ::: 47*n + 98= 53*n + 2===> n= 1 6
nb= 44 ::: 48*n + 63= 50*n + 29===> n= 1 7
nb= 45 ::: 48*n + 73= 52*n + 9===> n= 1 6
nb= 46 ::: 49*n + 63= 51*n + 7===> n= 2 8
nb= 47 ::: 49*n + 72= 53*n + 8===> n= 1 6
nb= 48 ::: 49*n + 78= 52*n + 30===> n= 1 6
nb= 49 ::: 49*n + 87= 56*n + 3===> n= 1 2
nb= 50 ::: 50*n + 26= 47*n + 83===> n= 1 9
nb= 51 ::: 50*n + 29= 47*n + 68===> n= 1 3
nb= 52 ::: 50*n + 29= 48*n + 63===> n= 1 7
nb= 53 ::: 50*n + 39= 46*n + 87===> n= 1 2
nb= 54 ::: 52*n + 30= 49*n + 78===> n= 1 6
nb= 55 ::: 57*n + 92= 63*n + 8===> n= 1 4
nb= 56 ::: 58*n + 72= 60*n + 34===> n= 1 9
nb= 57 ::: 58*n + 73= 60*n + 49===> n= 1 2
nb= 58 ::: 58*n + 79= 60*n + 31===> n= 2 4
nb= 59 ::: 58*n + 97= 60*n + 13===> n= 4 2
nb= 60 ::: 59*n + 47= 62*n + 8===> n= 1 3
nb= 61 ::: 59*n + 71= 60*n + 23===> n= 4 8
nb= 62 ::: 59*n + 71= 60*n + 28===> n= 4 3
nb= 63 ::: 59*n + 71= 60*n + 43===> n= 2 8
nb= 64 ::: 59*n + 71= 60*n + 48===> n= 2 3
nb= 65 ::: 59*n + 74= 63*n + 2===> n= 1 8
nb= 66 ::: 59*n + 78= 61*n + 30===> n= 2 4
nb= 67 ::: 59*n + 84= 61*n + 30===> n= 2 7
nb= 68 ::: 59*n + 87= 61*n + 3===> n= 4 2
nb= 69 ::: 60*n + 13= 58*n + 97===> n= 4 2
nb= 70 ::: 60*n + 23= 59*n + 71===> n= 4 8
nb= 71 ::: 60*n + 28= 59*n + 71===> n= 4 3
nb= 72 ::: 60*n + 31= 58*n + 79===> n= 2 4
nb= 73 ::: 60*n + 34= 58*n + 72===> n= 1 9
nb= 74 ::: 60*n + 43= 59*n + 71===> n= 2 8
nb= 75 ::: 60*n + 48= 59*n + 71===> n= 2 3
nb= 76 ::: 60*n + 49= 58*n + 73===> n= 1 2
nb= 77 ::: 61*n + 30= 59*n + 78===> n= 2 4
nb= 78 ::: 61*n + 30= 59*n + 84===> n= 2 7
nb= 79 ::: 65*n + 89= 70*n + 24===> n= 1 3
nb= 80 ::: 68*n + 59= 72*n + 3===> n= 1 4
nb= 81 ::: 68*n + 91= 70*n + 45===> n= 2 3
nb= 82 ::: 69*n + 43= 70*n + 15===> n= 2 8
nb= 83 ::: 69*n + 43= 70*n + 18===> n= 2 5
nb= 84 ::: 69*n + 43= 70*n + 25===> n= 1 8
nb= 85 ::: 69*n + 43= 70*n + 28===> n= 1 5
nb= 86 ::: 69*n + 48= 72*n + 3===> n= 1 5
nb= 87 ::: 69*n + 52= 70*n + 14===> n= 3 8
nb= 88 ::: 69*n + 52= 70*n + 18===> n= 3 4
nb= 89 ::: 69*n + 52= 70*n + 34===> n= 1 8
nb= 90 ::: 69*n + 52= 70*n + 38===> n= 1 4
nb= 91 ::: 69*n + 54= 71*n + 8===> n= 2 3
nb= 92 ::: 69*n + 58= 73*n + 2===> n= 1 4
nb= 93 ::: 69*n + 82= 75*n + 4===> n= 1 3
nb= 94 ::: 69*n + 85= 74*n + 20===> n= 1 3
nb= 95 ::: 70*n + 14= 69*n + 52===> n= 3 8
nb= 96 ::: 70*n + 15= 69*n + 43===> n= 2 8
nb= 97 ::: 70*n + 18= 69*n + 43===> n= 2 5
nb= 98 ::: 70*n + 18= 69*n + 52===> n= 3 4
nb= 99 ::: 70*n + 24= 65*n + 89===> n= 1 3
nb= 100 ::: 70*n + 25= 69*n + 43===> n= 1 8
nb= 101 ::: 70*n + 28= 69*n + 43===> n= 1 5
nb= 102 ::: 70*n + 34= 69*n + 52===> n= 1 8
nb= 103 ::: 70*n + 38= 69*n + 52===> n= 1 4
nb= 104 ::: 70*n + 45= 68*n + 91===> n= 2 3
nb= 105 ::: 74*n + 20= 69*n + 85===> n= 1 3
nb= 106 ::: 76*n + 93= 80*n + 45===> n= 1 2
nb= 107 ::: 79*n + 45= 82*n + 6===> n= 1 3
nb= 108 ::: 79*n + 54= 83*n + 6===> n= 1 2
nb= 109 ::: 80*n + 45= 76*n + 93===> n= 1 2
nb= 110 ::: 87*n + 64= 90*n + 25===> n= 1 3
nb= 111 ::: 87*n + 65= 90*n + 23===> n= 1 4
nb= 112 ::: 90*n + 23= 87*n + 65===> n= 1 4
nb= 113 ::: 90*n + 25= 87*n + 64===> n= 1 3
2) There are 40 boys and 16 girls in a class of students. What is the ratio of girls to students?
Answers
Add boys and girls together for total students:
40 + 16 = 56 total students
Girls to total students is 16/56
Divide both numbers by 8 to get 2/7
The ratio is 2/7
[tex]\sf{\bold{\blue{\underline{\underline{Given}}}}}[/tex]
There are 40 boys and 16 girls in a class of students. ⠀⠀⠀⠀[tex]\sf{\bold{\red{\underline{\underline{To\:Find}}}}}[/tex]
⠀What is the ratio of girls to students?⠀⠀⠀[tex]\sf{\bold{\purple{\underline{\underline{Solution}}}}}[/tex]
In a class,
boys=40
girls =16
So,
The students of the class =
boys+girls 40+1656According to the question,
we have to find the ratio of girls to the total students
ratio=[tex]\sf{\dfrac{girls}{students} }[/tex] ratio=[tex]\sf{\dfrac{16}{56} }[/tex] ratio=[tex]\sf{\dfrac{\cancel{16}}{\cancel{56}} }[/tex]ratio=[tex]\sf{\dfrac{2}{7} }[/tex] ratio=[tex]\sf{2:7 }[/tex]⠀⠀⠀⠀
[tex]\sf{\bold{\green{\underline{\underline{Answer}}}}}[/tex]
⠀⠀⠀⠀
Hence,the ratio of girls to students is 2:7
⠀⠀⠀⠀
Which of the following are best described as lines that meet to form a right
angle?
Answers
Answer:
Two lines that intersect and form right angles are called perpendicular lines.
Answer:
perpendicular lines
Step-by-step explanation:
Definition of perpendicular lines:
Two lines that intersect forming a right angle are perpendicular lines.
Answer: perpendicular lines
Write an expression for the sequence of operations described below.
divide s by q, add r to the result, then triple what you have
Do not simplify any part of the expression.
Answers
Answer:
3( [tex]\frac{s}{q}[/tex] + r)
From a set of 5 nickels, 10 dimes and 15 quarters, six coins are removed at random without replacement.
a. Find the probability of not removing 6 quarters.
b. Find the probability of removing exactly 2 nickels, 2 dimes and 2 quarters.
Answers
Answer:
(a) 1 - (15 C 6) / (30 C 6)
(b) (5 C 2) x (10 C 2) x (15 C 2) / (30 C 2)
Step-by-step explanation:
Number of nickels = 5
Number of dimes = 10
Number of quarters = 15
(a) The probability of getting 6 quarters
= (15 C 6) / (30 C 6)
So, the probability of not getting 6 quarters = 1 - (15 C 6) / (30 C 6)
(b) Probability of getting 2 nickels , 2 dimes and 2 quarters
= (5 C 2) x (10 C 2) x (15 C 2) / (30 C 2)
Maya has already run 1 mile on her own, and she expects to run 1 mile during each track practice. How many miles would Maya have run after 48 track practices?
Answers
Answer:
Step-by-step explanation:
48+1=49
Suppose that you are offered the following "deal.
You roll a six-sided die.
If you roll a 6, you win $8.
If you roll a 3, 4 or 5, you win $1.
Otherwise, you pay $7.
Complete the Probability Distribution table shown below.
Let X represent your profit and list the X values from smallest to largest. Roond to 4 decimal places where
appropriate.
Probability Distribution
Table
Х
P(X)
Find the expected profit. $
(Round to the nearest cent)
Answers
Answer:
expected profit is - $0.50
Step-by-step explanation:
1 $(7.00) 0.166666667 $(1.17)
2 $(7.00) 0.166666667 $(1.17)
3 $1.00 0.166666667 $0.17
4 $1.00 0.166666667 $0.17
5 $1.00 0.166666667 $0.17
6 $8.00 0.166666667 $1.33
$(0.50)
Please help ❤️
Find the value of x
Answers
Answer:
-2/15
Step-by-step explanation:
14x+x+15=13
Answer:
x = -8
Step-by-step explanation:
based on the picture the top line is equal to 13.
So, 14 + x+ x + 15 = 13
2x + 29 = 13
2x = -16
x = -8
if x can be divide by 7 and 9 without leaving a remainder, it can also divided by which number without leaving a remainder
Answers
Answer:
all counting numbers except one
This is because 7 x 9 is 63 meaning x would be 63 and 63 divided by 3 is 21 which does NOT Leave a reminder.
Help me pls, BRAINEST AWARD
Answers
Answer:
x = 3.7
Step-by-step explanation:
By applying sine ratio for the given angle B,
sin(39°) = [tex]\frac{\text{Opposite side}}{\text{Hypotenuse}}[/tex]
sin(39°) = [tex]\frac{AD}{AB}[/tex]
0.6293 = [tex]\frac{AD}{7}[/tex]
AD = 4.41
By applying tangent ratio for the given angle C,
tan(50°) = [tex]\frac{\text{Opposite side}}{\text{Adjacent side}}[/tex]
1.19 = [tex]\frac{AD}{x}[/tex]
1.19 = [tex]\frac{4.41}{x}[/tex]
x = 3.7
Round off to the underlined place values. 1 0.5242 2. 2.1616 3. 5.4852 4. 0.5862 5. 5.9658 6. 2.8959 7. 8.2584 8. 8.8956 9. 4.1492 1 5481
Answers
Answer:
wheres the underline pls let me know what is underlined ill answer it on comment
I.- Sean los polinomios:
P(x) = 5x5 +4x3 –x +2 Q (X) = -3x4 -7x3 +9x -6 R(x) = 7x5 +3x2 + 8x -2
Halla:
1) P(X) + Q(X) 2) R (X) - P(X) 3) P(X) + R(X) - Q(X)
II.- Resuelve:
1) M= (x-1) (x-1) (x-1) - x3 +1
2) W= (x2 +x +1) (x2 -x +1)
Answers
Answer:
Step-by-step explanation:
M
Can someone do these for me and list the number because I’m struggling rn. And I’m having a breakdown lol.
Answers
Answer:
Step-by-step explanation:
First remove the parentheses.
As the sign outside the second parentheses is a + then the signs of the terms inside stay the same.
So the first one + (-3x +2) is just -3x + 2.
All the others on the left column are answered in the same way.
No. 4:
(-2x + 10 + (-8x - 1) Just remove the parentheses, we get:
-2x + 10 - 8x - 1 (we leave out the + before the second parentheses).
= -2x - 8x + 10 - 1
= -10x + 9
6. 8x + 8 + ( -6x - 1)
= 8x + 8 - 6x - 1
= 8x - 6x + 8 - 1
= 2x + 7.
- the other expressions on the right side column are solved in the same way.
In a certain region, the probability of a baby being born a is instead of 0.5. Let A denote the event of getting a when a baby is born. What is the value of ?
Answers
Answer:
[tex]P(\bar A) = 0.5[/tex]
Step-by-step explanation:
Given
[tex]P(A) = 0.5[/tex]
Required
[tex]P(\bar A)[/tex]
To do this, we make use of complement rule:
[tex]P(\bar A) = 1 - P(A)[/tex]
So, we have:
[tex]P(\bar A) = 1 - 0.5[/tex]
[tex]P(\bar A) = 0.5[/tex]
Please help me on this
Answers
Answer:
58.8 in²
Step-by-step explanation:
you have no calculator ?
since you clearly have a computer or smart phone - there are calculator apps on all of them.
you really just need to use the given numbers and multiply and add them following the formula. so, what is your problem ?
anyway,
2pi×r×h + 2pi×r²
h = 5.9
r = 1.3
2pi × 1.3 × 5.9 + 2pi × 1.3² = 2pi × 7.67 + 2pi × 1.69 =
= 58.8 in²
Mathematics puzzle from my calculus text book.
Answers
Answer:
[tex]{ \tt{g(x) = a {x}^{2} + bx + c = 0 }} \\ { \tt{f(x) = {a'x}^{2} + b 'x + c' = 0}} \\ { \boxed{ \bf{f(g(x)) = g(f(x))}}} : \\ { \tt{ =( \frac{a}{a'})x {}^{2} + ( \frac{b}{b'}) x} + \frac{c}{c'} } = 0[/tex]
BRE
What is the radius of a circle whose equation is (x - 7)2 + (y - 10)2 = 4?
2 units
ОО
4 units
8 units
16 units
Answers
Answer:
2
Step-by-step explanation:
The equation of a circle is given as:
(x-h)^2 + (y-k)^2 = r^2
so r^2 = 4
r = sqrt(4)
r = 2
Answer:
A
Step-by-step explanation:
What is the ratio of 2:5
Answers
Step-by-step explanation:
The ratio is 2 to 5 or 2:5 or 2/5. All these describe the ratio in different forms of fractions. The ratio can consequently be expressed as fractions or as a decimal.
A ratio of 2 : 5 states a comparison between two quantities.
What are ratio and proportion?A ratio is a comparison between two similar quantities in simplest form.
Proportions are of two types one is the direct proportion in which if one quantity is increased by a constant k the other quantity will also be increased by the same constant k and vice versa.
In the case of inverse proportion if one quantity is increased by a constant k the quantity will decrease by the same constant k and vice versa.
Given, a ratio 2 : 5.
Suppose it is a ratio of no. of pens to no. of pencils.
So, a ratio 2 : 5 states for every 2 pens there are 5 pencils out of 7 pen and pencils.
We can also write no. of pens = 2/(2+ 5) = 2/7 and for pencils it is 5(2+5)
= 5/7.
Generally, ratios are in simplest form we can have more pens and pencils here but it must be in the multiple of 7.
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Find the volume (in cubic inches) of an exercise ball with a radius of 14 inches. (Round your answer to one decimal place.)
Answers
Answer:
11,494.0³
Step-by-step explanation:
Volume of a sphere= (4/3) × pi × radius³
4÷3 × 3.14 ×14³
= 11,494.0³
Math pweasee 15 points
Answers
Answer:
Step-by-step explanation:
a = 5
b = 15
c = ?
c^2 = a^2 + b^2
c^2 = 5^2 + 15^2
c^2 = 25 + 125
c^2 = 250
sqrt(c^2) = sqrt(250)
c = sqrt(250)
The coordinator of the vertices of the triangle are (-8,8),(-8,-4), and
Answers
Answer with Step-by-step explanation:
Complete question:
The coordinates of the vertices of the triangle are (-8,8),(-8,-4), and. Consider QR the base of the triangle. The measure of the base is b = 18 units, and the measure of the height is h = units. The area of triangle PQR is square units.
Let
P=(-8,8)
Q=(-8,-4)
QR=b=18 units
Height of triangle, h=Length of PQ
Distance formula
[tex]\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]
Using the formula
Height of triangle, h=[tex]\sqrt{(-8+8)^2+(-4-8)^2}=12units[/tex]
Area of triangle PQR=[tex]\frac{1}{2}\times base\times height[/tex]
Area of triangle PQR=[tex]\frac{1}{2}\times 18\times 12[/tex]
Area of triangle PQR=108 square units
Length of QR=18units
Let the coordinates of R(x,y)
[tex]\sqrt{(x+8)^2+(y+4)^2}=18[/tex]
[tex](x+8)^2+(y+4)^2=324[/tex]
[tex]x^2+64+16x+y^2+8y+16=324[/tex]
[tex]x^2+y^2+16x+8y=324-64-16[/tex]
[tex]x^2+y^2+16x+8y=244[/tex] ......(1)
Using Pythagoras theorem
[tex]H=\sqrt{P^2+B^2}[/tex]
[tex]H=\sqrt{(18)^2+(12)^2}[/tex]
[tex]H=6\sqrt{13}[/tex]units
[tex](6\sqrt{13})^2=(x+8)^2+(y-8)^2[/tex]
[tex]x^2+64+16x+y^2+64-16y=468[/tex]
[tex]x^2+y^2+16x-16y=468-64-64=340[/tex]
[tex]x^2+y^2+16x-16y=340[/tex] .....(2)
Subtract equation (2) from (1) we get
[tex]24y=-96[/tex]
[tex]y=-96/24=-4[/tex]
Using the value of y in equation (1)
[tex]x^2+16x+16-32=244[/tex]
[tex]x^2+16x=244-16+32[/tex]
[tex]x^2+16x=260[/tex]
[tex]x^2+16x-260=0[/tex]
[tex]x^2+26x-10x-260=0[/tex]
[tex]x(x+26)-10(x+26)=0[/tex]
[tex](x+26)(x-10)=0[/tex]
[tex]x=-26, x=10[/tex]
Hence, the coordinate of R (10,-4) or (-26,-4).
Will give brainliest answer
Answers
Answer:
the x-intercepts are at
x = -3
x = 0
x = 1
Step-by-step explanation:
ask the points, where the functional value is 0.
2x³ + 4x² - 6x = 0
we see that every term contains an expression of x. so, we can simplify this
x × (2x² + 4x - 6) = 0
so, one solution is plainly visible : x=0
for the other solutions we need to solve the square equation
2x² + 4x - 6 = 0
or even simpler
x² + 2x - 3 = 0
the solution of a square equation is
x = (-b ± sqrt(b² - 4ac))/(2a)
in our case
a=1
b=2
c=-3
x = (-2 ± sqrt(2² - 4×1×-3))/(2×1) = (-2 ± sqrt(4 + 12))/2 =
= (-2 ± sqrt(16))/2 = (-2 ± 4)/2 = -1 ± 2
x1 = -1 + 2 = 1
x2 = -1 - 2 = -3
I NEED AN ANSWER ASAP
WILL GIVE BRAINLY THING
Answers
Answer:
1) C
2) D
3) A
4) B
hope it helps
Tim and Al are bricklayers. Tim can construct an outdoor grill in 5 days. If Al helps Tim, they can build it in only 3 days. How long
would it take Al to build the grill alone? Write your answer as an integer, simplified fraction, or mixed number.
It would take Al
days to build the grill alone.
Answers
Answer:
It would take Al 7.5 days to build the grill alone.
Step-by-step explanation:
Since Tim and Al are bricklayers, and Tim can construct an outdoor grill in 5 days, and if Al helps Tim, they can build it in only 3 days, to determine how long would it take Al to build the grill alone should be done the following calculation:
1/5 + X = 1/3
0.20 + X = 0.333
X = 0.333 - 0.20
X = 0.1333333
X = 1 / 7.5
Therefore it would take Al 7.5 days to build the grill alone.
