Answer:
6.7638 × 10^10
Step-by-step explanation:
A 20 foot ladder is set against the side of a house so that it reaches up 16 feet. If Christian grabs the ladder at its base and pulls it 2 feet farther from the house, how far up the side of the house will the ladder reach now? (The answer is not 14 ft.) Round to the nearest tenth of a foot.
Answer:
14.2
Step-by-step explanation:
The ladder forms a right angles triangle,
We have,
h=20
p=16
b=x
Using pythogorean theorem,
b=√(20^2-16^2)
√144
b=12
Now,
Since, she pulls it 2 cm,
b=x+2
b=14
p=?
Using pythogorean theorem,
p=√(20^2-14^2)
√204
p=14.2828568571
Rounding to the nearest tenth,
p=14.2
The side of the ladder will reach up is 14.3 feet.
What is trigonometric Ratios?"Trigonometric Ratios are defined as the values of all the trigonometric functions based on the value of the ratio of sides in a right-angled triangle. It is with respect to any of its acute angles are known as the trigonometric ratios of that particular angle".
For the given situation,
Hypotenuse, h = 20 feet
Perpendicular, p = 16 feet
Base = b
By Pythagoras theorem,
[tex]h^{2} = p^{2} + b^{2}[/tex]
⇒[tex]20^{2} = 16^{2}+b^{2}[/tex]
⇒[tex]b^{2} = 400-256[/tex]
⇒[tex]b^{2}=144[/tex]
⇒[tex]b=\sqrt{144}[/tex]
⇒[tex]b=12[/tex]
The ladder at the house is pulled 2 feet farther.
So, base = [tex]12+2[/tex]
⇒[tex]b=14[/tex]
Now, the side of the ladder will reach up
[tex]p^{2} = h^{2}-b^{2} \\[/tex]
⇒[tex]p^{2}=20^{2}-14^{2} \\[/tex]
⇒[tex]p^{2}=400-196[/tex]
⇒[tex]p^{2}=204[/tex]
⇒[tex]p=\sqrt{204}[/tex]
⇒[tex]p=14.28[/tex]
⇒[tex]p=14.3[/tex] (rounded off to nearest tenth)
Hence we can conclude that the side of the ladder will reach up is 14.3 feet.
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Please help me! Please please please help me!
Express in scientific notation. Choose the answer with the proper number of significant figures.
Answer:
it is the answer thanks
give me brainly
find the answer for the question below
Answer: 16.25 or 16 1/4 miles a week
Step-by-step explanation:
Since the route is 3.25 miles long, and chloe and corinne ride the route 5 times a week, we can use the equation 3.25 x 5 to get to our solution.
3.25 x 5 = 16.25
If the expression is expanded, what is the coefficient of x? 4(3x+5)
Answer:
12
Step-by-step explanation:
4 ( 3x + 5 )
= 4 ( 3x ) + 4 ( 5 )
= 12x + 20
The coefficient of x in 12x is 12.
Write an equation in point-slope form of the line that passes through the given point and with the given slope m.
(-7,5); m = 6
the answer is : y - 5 = 6 ( x + 7)
What is the distance between point A(−1, 3) and point B(−8, 3) ?
2 units
5 units
7 units
9 units
Answer:
7 units
Step-by-step explanation:
Answer:
7 units
Step-by-step explanation:
d = √(x2-x1)²+(y2-y2)
d = √((-8-(-1)² - (3-3)²
d = √ (-7)²-0
d = √49
d = 7 units
The numbers shown above belong to which of the following sets of numbers?
I. Rational Numbers
II. Natural Numbers
III. Whole Numbers
IV. Integers
A.
I, II, III, and IV
B.
I and IV only
C.
II only
D.
I only
The answer is iii which are whole numbers
The correct way of representing different types of numbers is,
B. I and IV only
What are sets and subsets?A set is a collection of well-defined objects.
A subset contains all the elements or a few elements of the given set.
The improper subset is when it contains all the elements of the given set and the proper subset is when it doesn't contain all the elements of the given set
Complex numbers (a + ib)
Real numbers Imaginary numbers.
(a + i0) (0 + ib)
Rational numbers Irrational numbers
(perfect squares) (non-perfects squares)
Fractions.
(p/q, q ≠ 0)
Integers.
(whole nos. -: 0 to ∞)
(negative integers -: - ∞ to - 1)
(positive integers -: 1 to ∞)
The type of numbers in which every next type is a subset of the previous type is Natural numbers ⊂ Whole numbers ⊂ Intergers ⊂Rational numbers.
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Evaluate 5 + {2[(48 – 40) ÷ 4 + (2 x 5)]}
29
28
45
19
Answer:
29
Step-by-step explanation: 5 + 2 [(48 - 40)/4+(2 x 5)]
Which situation could be represented by -11?
Answer:
Your answer is A. A depth of 11 feet below sea level ( Sea level is 0 in this case ).
Step-by-step explanation:
Which line has a larger slope?
Answer:
the one on the right looks best for the slope because the slope is a lot larger than the one on the right the one on the right is smaller but a few inches few times I don't know you might want to check it before I actually answer it for you so I hope you found this kind of helpful thank you bye
The y –intercept of the function is_____________.
A. (0,0)
B. (0,2)
C. (2,0)
D. none
Answer:
B
Step-by-step explanation:
(x,y)
(0,2)
the 2 lands on the y so therefor 2 is the y-intercept
i hope this helps :)
The answer to this question that I’ve been stuck on for a long time
Answer:
x = -3/2
Step-by-step explanation:
Can someone send me proxys that aren't blocked by iboss
and how do I removed chrome extensions that were added by a chrome administrator
I'm tryin to play fort night on geforce now browser but its blocked
Answer:
unblock miniproxy.com
Step-by-step explanation:
make sure to show your work. Please dont answer if you dont know. There are two attachments.
Your prize: Brainliest and 30 points
Step-by-step explanation:
Number 1
180° = x + 70° + 55° + 30°
180° = x + 155°
x = 180° - 155°
x = 25°
Number 2
x° = 93°
y° = 47°
z° = 180° - 47° - 93°
z° = 180° - 140°
z° = 40°
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___% of 75 is 25
Please help
Answer:
33.33
Step-by-step explanation:
Answer:
33.33%
If you like my answer than please mark me brainliest thanks
HELP ME PLEASE What is 6,728 ÷16
Answer:
420.5 or 420 1/2
Step-by-step explanation:
Given f(x)=2x+9, if f(x)=15, find x
Answer:
x = 3 I think
Step-by-step explanation:
h. mmm yess I think
8) 8 kg of apples cost Rs.800, what is the cost of 15 kg of apples?
Answer: 4
Step-by-step explanation:Using unitary method :-
5 kg apple → 600 Rs
1 kg apple →
5
600
= 120 Rs
27 kg apple →120×27=3240 Rs
the following are the ages in years of members of group 8, 11, 8,10 ,6, 7, 3x ,11, 11
if the mean age is 9years
find:
1.x
2.find the modal age
3.find the median
Answer:
X = 3
Mode: 11median: 9
Step-by-step explanations
3x = 3*2 = 6
(6,7,8,8,9,10,11,11,11)/9 = 81/9 = 9
The value of X = 3
Mode: 11
Median: 9
What are mean and median?The mean is the average value which can be calculated by dividing the sum of observations by the number of observations
Mean = Sum of observations/the number of observations
Median represents the middle value of the given data when arranged in a particular order.
Mode is that number that appears most frequently in the given set of data.
We are given that the ages in years of members of group 8, 11, 8,10 ,6, 7, 3x ,11, 11 if the mean age is 9 years
3x = 3(2 )= 6
Mean = (6,7,8,8,9,10,11,11,11)/9
= 81/9
= 9
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What is the weight, in kg, shown by the arrow on the scale below?
See pic attached
Step-by-step explanation:
according to arrow the weight is 1400 g.
we know,
1 kg = 1000 g
so,
1 g = 1/1000 kg
so,
1400/1000 = 1.4 kg ans
hope this answer helps you dear!
Answer:
1.4 kg
Step-by-step explanation:
1400 grams, to find kg you have to divide by 1000
I have to hit 70 to finish plz help ?!?!?!
classify -0.25 as rational or irrational. explain.
Answer:
Rational
Step-by-step explanation:
Rational numbers include fractions and decimals that end or have a pattern. Irrational numbers, however, do not end and have an arbitrary pattern. -0.25 is rational because it is a terminating decimal which means it ends.
Examples of irrational numbers include:
√2 , -√101 , π (pi)
Examples of rational numbers include:
-0.89 , √16 , 1/3
i hope this helps :)
Which of the following is the solution to the equation 5/6 x= -1/6?
-1/5
1/5
-5
5
click on file! please help, thank you!! <3
The function t(x) = 4x -2 determines how many cans of vegetables a food truck needs to stock on board, where x is the number of shifts the crew is going to work in the truck. The crew uses c(t(x)) to find the amount of money to spend on vegetables. The function c(x) = x + 9. Solve for how much money must be spent when the crew is going to work 2 shifts.
Answer:
[tex]t(x) = 4x - 2 \\ c(x) = x + 9 \\ c(t(x)) = (4x - 2) + 9 \\ = (4(2) - 2) + 9 \\ = 8 - 2 + 9 \\ = 6 + 9 = 15[/tex]
Pls help me with this question and explain thx!!
Answer: 50 pages (not sure) but I hope that still made sense though
Step-by-step explanation:
30% of 15 equals 50
15/30%=50
What is the solution to the equation −p−13=−43p+23(5p−6)?
Answer:
p = 125/73
Step-by-step explanation:
−p − 13 = −43p + 23 (5p − 6)
−p − 13 = −43p + 115p − 138
−p − 13 = 72p − 138
+p +p
-----------------------------
-13 = 73p - 138
+138 +138
-----------------------------
125 = 73p
/73 /73
-----------------------------
125/73 = p
If you need the answer in mixed fraction, then it's --> p = 1 52/73
The solution to the given equation is p = - 1.71
To determine the solution of the given equation,
We will find the value of the variable, p, that satisfies the equation.
From the question, the given equation is
[tex]-p-13 = -43p+23(5p-6)[/tex]
To solve this,
First, Clear the brackets
[tex]-p-13 = -43p + 115p - 138[/tex]
Now, Collect like terms
[tex]-p +43p -115p = -138 + 13[/tex]
[tex]73p = -125[/tex]
Now, divide both sides of the equation by 73
[tex]\frac{73p}{73} = \frac{-125}{73}[/tex]
∴ p = - 1.71
Hence, the solution to the given equation is p = - 1.71
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solve this equation 8+8x=8
Hello!
Answer:
x=0
Step-by-step explanation:
Hope this helps!
Answer: The correct answer is: " x = 0 " .
________
Step-by-step explanation:
Given: " 8 + 8x = 8 " ; Solve for "x" ;
________
Method 1)
________
Subtract "8" from each side of the equation:
________
→ " 8 + 8x − 8 = 8 − 8 " ;
→ On the "left-hand side" of the equation:
Note the following "like terms" :
" +8 − 8 = 0 " ;
→ and we are left with "8x" on the "left-hand side" of the equation.
→ On the "right hand side" of the equation:
The "(8 − 8)" = 0 ;
________
And we are left with:
→ " 8x = 0 " ;
________
Now, divide each side of the equation by "8" ;
to isolate "x" on one side of the equation;
& to solve for "x" :
________
→ 8x / 8 = 0/8 ;
to get:
→ " x = 0 " ;
→ which is the correct answer.
________
Method 2)
________
Given: " 8 + 8x = 8 " ; Solve for "x" ;
________
Subtract "8" from each side of the equation; in the following manner:
________
8 + 8x = 8 ;
- 8 = - 8 ;
_____________
0 + 8x = 0 ;
→ We have: " 0 + 8x = 0 " ;
→ Note: On the "left-hand side" ; we have:
" 0 + 8x " ;
We can simplify this to "8x" ; since the "addition property of zero" states that when "0" is added to any value; the resulting value does not change.
Now, we can bring down the "0" from the "right-hand side" of the equation;
And we can rewrite our equation as:
________
→ " 8x = 0 " ;
Now, divide each side of the equation by "8" ;
to isolate "x" on one side of the equation;
& to solve for "x" :
________
→ 8x / 8 = 0/8 ;
to get:
→ " x = 0 " ;
→ which is the correct answer.
________
Method 3)
________
Given: " 8 + 8x = 8 " ; Solve for "x" ;
________
Divide each side of the equation by "8" ;
________
→ " [tex]\frac{(8 + 8x)}{8} =\frac{8}{8}[/tex] " ;
________
To solve:
________
Note: On the "right-hand side" of the equation:
________
Take note that: " [tex]\frac{8}{8} =[/tex] (8 ÷ 8) = 1 " ;
________
Rewrite the equation as:
________
→ " [tex]\frac{(8 + 8x)}{8} =1[/tex] " ;
________
To solve:
________
Note: " [tex]\frac{x}{y} = z[/tex] " ; ↔ [tex]x = z*y[/tex] ; [tex](y\neq 0)[/tex] ;
________
→ " [tex]\frac{(8 + 8x)}{8} =1[/tex] " ;
→ From the "left-hand side" of the equation;
Let us simplify:
________
→ " [tex]\frac{(8 + 8x)}{8} = \frac{8}{8} + \frac{8x}{8} = 1 + x[/tex] " ;
Now, bring down the "1" from the "right-hand side" of the equation;
and rewrite the equation:
________
→ " 1 + x = 1 " ;
Now, subtract "1" from each side of the equation;
to isolate "x" on one side of the equation;
& to solve for "x" :
________
" 1 + x − 1 = 1 − 1 " ;
→ On the "left-hand side" of the equation:
Note the following "like terms" :
+1 − 1 = 0 " ;
→ and we are left with "x" on the "left-hand side" of the equation.
→ On the "right hand side" of the equation:
The "(1 − 1)" = 0 ;
→ And we are left with:
→ " x = 0 " ;
→ which is the correct answer!
________
The correct answer is: " x = 0 " .
________
Hope that this answer—and the corresponding explanations—
are helpful !
WIshing you the best!
________
which of the following pairs of triangles can be proven congruent through SAS
Answer:
a and d
Step-by-step explanation: