Answers
Step-by-step explanation:
Pythagoras, Pythagoras, Pythagoras.
c² = a² + b²
for c being the Hypotenuse (the side opposite of the 90 degree angle).
that is something you should really burn into your brain for life. you will need that many times.
1.
89² = 80² + side²
side² = 89² - 80² = 1521
side = sqrt(1521) = 39 ft
2.
D
because here the x value of 2 has to different assigned result (y) values. but for a function it had to be exactly 1 value.
3.
the longer of the 2 given sides must be the Hypotenuse, because otherwise we would get a negative length.
97² - 72² = side² = 4225
sqrt(4225) = side = 65 cm
4.
the distance between 2 point is the Hypotenuse of a right-angled triangle, with its legs being the differences in x and y coordinates.
F = (-1, 6)
G = (3, 4)
FG² = (-1 - 3)² + (6 - 4)² = 16 + 4 = 20
FG = sqrt(20) = 4.472135955... ≈ 4.5
so, A is the right answer.
5.
that creates a right-angled triangle, with the flag pole and the distance on the floor to the flag pole as the legs, and the rope as Hypotenuse.
rope² = 53² + 28² = 3593
rope = sqrt(3593) ≈ 60 ft
6.
A
85² = 36² + 77²
7225 = 1296 + 5929 = 7225
correct. this is a right-angled triangle.
B
101² = 99² + 20²
10201 = 9801 + 400 = 10201
correct. this is a right-angled triangle.
C
123² = 120² + 27²
15129 = 14400 + 729 = 15129
correct. this is a right-angled triangle.
D
42² = 33² + 24²
1764 = 1089 + 576 = 1665
incorrect.
1764 - 567 = 1089 ?
1197 = 1089
also incorrect.
as is 1764 - 1089 = 567 and 1089 - 567 = 1764
so, this is not a right-angled triangle.
7.
the sum of all angles in a triangle (also in general triangles) is always 180 degrees.
since the right angle is already 90 degrees, it leave only 90 degrees for the other 2 angles.
A is the only correct option. 25 + 65 = 90.
8.
BC = 13
AC = 3
AB² = AC² + BC² = 3² + 13² = 9 + 169 = 178
AB = sqrt(178) = 13.34166406... meter
the tree was then originally
3 + 13.34166406... = 16.34166406... meter high
12.1.1
35² = 21² + side²
side² = 35² - 21² = 1225 - 441 = 784
side = sqrt(784) = 28 m
12.1.2
side² = 16² + 30² = 256 + 900 = 1156
side = sqrt(1156) = 34 ft
12.2.3
61² = 60² + 11²
3721 = 3600 + 121 = 3721
correct. this is a right-angled triangle.
12.2.4
40² = 37² + 9²
1600 = 1369 + 81 = 1450
incorrect. this is not a right-angled triangle.
neither is 1600 - 1369 = 81 nor 1600 - 81 = 1369 nor 1368 - 89 = 1600
12.2.5
38² = 35² + 15²
1444 = 1225 + 225 = 1450
incorrect. this is not a right-angled triangle.
neither is 1444-1225=225 nor 1444-225=1225 nor 1225-225 = 1444
12.2.6
53² = 45² + 28²
2809 = 2025 + 784 = 2809
correct. this is a right-angled triangle.
12.3.8
the x and y coordinate differences between A and B are 6 and 3.
AB² = 6² + 3² = 36 + 9 = 45
AB = sqrt(45) = 6.7
12.3.9
the x and y coordinate differences between B and C are 1 and 7.
BC² = 1² + 7² = 1 + 49 = 50
BC = sqrt(50) = 7.1
12.3.10
the x and y coordinate differences between A and C are 5 and 4.
AC² = 5² + 4² = 25 + 16 = 41
AC = sqrt(41) = 6.4
final question : you need that in many distance calculations, side lengths, diagonals, heights,... for rooms, yards, acres, buildings, mountains, ...
Related Questions
Solve for the variable PLEASE HELP
Answers
Answer a+ 4 - a-7 a-7 _5 = 37_6
Step-by-step explanation:
Answer:
a=-7
Step-by-step explanation:
Find least common multiplier
LCM=105
Multiply to function
a+4/3 *105- a/7= 105* a+7/5
Simplify
35(a+4)-15x=21(a+7)
Expand
20a+140=21a+147
Subtract 140 from both sides
20a=21a+7
Subtract 21a from both sides
-a=7
Divide both sides by -1
-a/-1=7/-1
a=-7
Choose the true statements.
O
A linear function is expressed by a graph of a line that
crosses both axes at the origin. An equation is written in
slope-intercept form to express the same function as
shown in the graph. From just this information, what
statements can be made?
The slope of the equation must be positive.
The y-intercept of the equation is zero.
It is possible that the line on the graph is horizontal.
The slope of the equation must be negative.
Answers
Answer:
The y-intercept must be zero.
It is possible that the line is horizontal.
Step-by-step explanation:
The description states that the line "crosses both axes at the origin." That would mean that the point (0,0) is on the graph. The y-intercept is the value of y when x=0. We see that it is zero in this case (0,0).
The description says nothing about the slope. So it could be either positive or negative. But it could also mean that the slope is zero. A zero slope would be a horizontal line. So that is a second statement that is true: "It is possible that the line on the graph is horizontal."
Answer:
its b and c
Step-by-step explanation:
pls help me i do not know how to do this
Answers
Answer:
D. Reflect across the y-axis and then across x = 7
Step-by-step explanation:
A and B work because each transformed point is 12 to the right (x-value is 12 greater), and 3 left then 15 right is the same thing as just 12 right.
C. works because if you take each of the points and reflect them over the y-axis (make the x value positive) and then across the line x=6 (vertical line at 6 on the x-axis) it will map the points onto the correct image.
So, the answer is D. Reflect across the y-axis and then across x = 7.
Sara is going to home depot to buy some plants for her back yard. The price of 4 rose bushes is $12 and the price of 5 tulips is $20. Sara ends up buying $80 worth of roses and tulip plants. Which equation represents the relationship between the number of rose bushes, x, and the number of tulip plants, y, that Sara bought at home depot?
Answers
Answer:
3r + 4t = 80
Step-by-step explanation:
Roses cost $3 each, tulips cost $4 each
will mark brainleist
Answers
Answer:
Figure a) 2
figure b) 4
figure c) 5
Step-by-step explanation:
____________ system is a system where each transaction is entered twice, once on the debit side and once on the credit side. *
Options -
Single entry
Double entry
Answers
Answer:
Double-entry bookkeeping,in accounting, is a system of bookkeeping where every entry to an account requires a corresponding and opposite entry to a different account. The double-entry system has two equal and corresponding sides known as debit and credit.
Step-by-step explanation:P I E C K_______Classify the triangle based on the side lengths 7. 15 and 21
Answers
Triangle based on the side lengths 7. 15 and 21 is Obtuse triangle.
What is Trigonometry?Trigonometry is a branch of mathematics that studies relationships between side lengths and angles of triangles.
The sides of triangle are 7, 15 and 21.
Let the largest angle be θ.
cosθ=7²+15²-21²/2×7×15
=-167/210
Since arc cos(-167/210)=142.68 degrees.
θ=142.68 degrees.
Which means θ>90 degrees.
So its a obtuse triangle.
7+15=22>21
21-7=14<15
So those angles can make a obtuse triangle.
Hence, triangle based on the side lengths 7. 15 and 21 is Obtuse triangle.
To learn more on trigonometry click:
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What is 6n+5=17
WHAT DOES N EQUAL TOOOOO HELPPPPPPPPPP MEEEEEEEEEEEEEEEEEEEE
Answers
Step-by-step explanation:
Let's solve your equation step-by-step.
6n+5=17
Step 1: Subtract 5 from both sides.
6n+5−5=17−5
6n=12
Step 2: Divide both sides by 6.
[tex]\frac{6n}{6} =\frac{12}{6}[/tex]
[tex]n=2\\[/tex]
I hope this help's :)
Answer:
n = 2
Step-by-step explanation:
[tex]6n + 5 = 17 \\ \: \: \: \: \: \: \ - 5 \: \: \: \: - 5 \\ - - - - - - - \\ \: \: \: \: \: \: \: \: \: \: \frac{6n}{6} = \frac{12}{6} \: \: \: \: \: \: \: \: \: \: \\ n = 2[/tex]
Hope this helps! Brainliest would be really appreciated!
What addition statement does this show?
A. 5.2 + 6.4 = –11.6
B. –5.2 + 6.4 = –11.6
C. 5.2 + (–6.4) = –11.6
D. –5.2 + (–6.4) = –11.6
Answers
Answer:
D. –5.2 + (–6.4) = –11.6
Step-by-step explanation:
First, you can eliminate A and C because 5.2 is positive. Since the red arrow is pointing left, it indicates that the number (-5.2) is negative.
Then, you look at the second arrow, the green one. It is pointing left, so it would be -6.4.
I hope this helps :)
HELP!! Scaler multiplication of vectors in component form
Answers
Answers:
<-6,8> <-3,3> <12,12> <21,4> <18,22> <17,30> <-36,-38> <16,20>===========================================================
Work Shown:
Problem 1
u = <-3,4>
2u = 2*<-3,4>
2u = <2(-3), 2(4)>
2u = <-6,8>
Effectively, we multiplied each coordinate by 2.
-----------------
Problem 2
g = <-1,1>
3g = 3*<-1,1>
3g = <3(-1),3(1)>
3g = <-3,3>
Same idea as problem 1, but we tripled each coordinate.
-----------------
Problem 3
z = <-3,-3>
-4z = -4*<-3,-3>
-4z = <-4(-3),-4(-3)>
-4z = <12,12>
-----------------
Problem 4
v = <6,8>
2v = <12,16> .... double both coordinates
u = <-3,4>
3u = <-9,12> .... triple both coordinates
2v-3u = <12,16>-<-9,12>
2v-3u = <12-(-9),16-12>
2v-3u = <12+9,16-12>
2v-3u = <21,4>
I subtracted the corresponding coordinates.
The general rule is <a,b>-<c,d> = <a-c,b-d>
-----------------
Problem 5
y = <1,1>
6y = <6,6> .... multiply each coordinate by 6
v = <6,8>
2v = <12,16>
6y+2v = <6,6>+<12,16> = <6+12,6+16> = <18,22>
This time we add the corresponding coordinates after scaling up the given vectors.
The general rule is <a,b>+<c,d> = <a+c,b+d>
-----------------
Problem 6
u = <-3,4>
v = <6,8>
3v = <18,24>
y = <1,1>
2y = <2,2>
u+3v+2y = <-3,4>+<18,24>+<2,2>
u+3v+2y = <-3+18+2,4+24+2>
u+3v+2y = <17,30>
-----------------
Problem 7
g = <-1,1>
4g = <-4,4>
y = <1,1>
A = 4g+y = <-4,4>+<1,1> = <-4+1,4+1> = <-3,5>
z = <-3,-3>
v = <6,8>
5v = <30,40>
B = z-5v = <-3,-3> - <30,40> = <-3-30,-3-40> = <-33,-43>
A+B = <-3,5>+<-33,-43> = <-36,-38>
-----------------
Problem 8
u = <-3,4>
v = <6,8>
2v = <12,16>
A = u+2v = <-3,4>+<12,16> = <-3+12,4+16> = <9,20>
w = <8,-1>
g = <-1,1>
B = w+g = <8,-1>+<-1,1> = <8+(-1),-1+1> = <7,0>
A+B = <9,20>+<7,0> = <9+7,20+0> = <16,20>
what is the answer?
Answers
Answer:
1x+-8(-4)=b
Step-by-step explanation:
Q). The sum of four consecutive natural numbers is 166. What are the numbers?
Answers
Answer:
see that attachment
I hope it's help you
Let the four consecutive natural numbers are X,X+1,X+2,X+3
Their sum = X+X+1+X+2+X+3 = 4X+6
According to the given problem
Their sum = 166
⇛ 4X+6 = 166
⇛4X = 166-6
⇛4X = 160
⇛X = 160/4
∴ X = 40
X+1 = 40+1 = 41
X+2 = 40+2 = 42
X+3 = 40+3 = 43
The four consecutive natural numbers are 40,41,42,43
also read similar questions: The sum of two prime numbers is 85, what is the product of these two prime numbers? A. 85 B. 91 C. 115 D. 166
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Tim is 40 lbs less than his bother. If together they weigh 220, how much does Tim weigh?
Answers
Answer:
90lbs
Step-by-step explanation:
If Tim weights 90lbs, his brother must weigh 130lbs which add to make 220lbs
Adam is working out the highest common factor of 100 and 112 He has worked it out to be 22. Can you explain what he has done wrong?
Answers
Answer:
130
Step-by-step explanation:
correct me if im wrong
tnx
love ya
Answer:
Adam has found highest common factor as 22 because he didn't multiply 2×2 as 4 but he directly written 2×2 as 22
Step-by-step explanation:
100=10×10
=2×5×2×5
=2×2×5×5
112=4×28
=4×4×7
=2×2×2×2×7
so highest common factor = 2×2 =4
Directions: Write the expression for each sentence below.
1. the sum of 6 and t = 6 + t
2. the product of y and 11
3. the difference of 4 from 12
4. the quotient of 6 divided by t
5. 19 less than 25
6. increase s by 2s
7. decrease 11 by r
8. add 6 times x and 2 times s
9. the quotient of 17 minus 12 and 2
10. the product of 3 and x less 10
11. the product of 7 and 2 divided by 2
12. decrease the product of 7 and 6 by a number
Answers
Answer:
y-4??
Step-by-step explanation:
Roxanne has 142 songs on her MP3 player Tessa has 11 times as many songs as Roxanne so how many songs does Tessa have?
Hurry I need this :(
Answers
Answer:
142×11=1152
Step-by-step explanation:
hope it helps you:)
3 3/4 x 2/5 as a fraction
Answers
Answer:
13/20
Step-by-step explanation:
The value of 3(3/4) x 2/5 as a fraction is 3/2.
What is a fraction?A fraction is written in the form of a numerator and a denominator where the denominator is greater that the numerator.
Example: 1/2, 1/3 is a fraction.
We have,
3(3/4) x 2/5
= 15/4 x 2/5
= 3/2
Thus,
The value is 3/2.
Learn more about fractions here:
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If the polynomial
[tex] {x}^{19} + {x}^{17} + {x}^{13} + {x}^{11} + {x}^{7} + {x}^{5} + {x}^{3} [/tex]
is divided by (x² + 1), then the remainder is:
(a) 1
(b) x² + 4
(c) -x
(d) x
Please solve this for me. Spam free answer required. Thank you.
Answers
Answer:
(C) - xStep-by-step explanation:
Given polynomial:
x¹⁹ + x¹⁷ + x¹³ + x⁷ + x⁵ + x³Group as follows:
(x¹⁹ + x¹⁷) + (x¹³ + x¹¹) + (x⁷ + x⁵) + (x³ + x) - x = x¹⁷(x² + 1) + x¹¹(x² + 1) + x¹⁵(x² + 1) + x(x² + 1) - xAs we see all terms have (x² + 1) as factor apart from the last one.
It means the remainder is - x
Correct choice is C
Which expression represents 11 less than a number, n?
Answers
Answer:
n-11
Step-by-step explanation:
NEED HELP Express Four-fifths as a percent!
Answers
Answer:
80%
Step-by-step explanation:
4/5 = 80/100 = 80%
or
4 divided by 5 = 0.8
0.8 x 100 = 80
Answer:
80%
Step-by-step explanation:
4÷5 = 0.8 = 80%
.
.
. .
.
.........
What is the equation of the line?
Answers
Answer: x=0
Step-by-step explanation:
The line has an undefined slope and has infinitely many solutions as it passes through the y-axis
Therefore the equation of the line is x=0
Which of the following lines are perpendicular to the line y= -1/2x +4 ? (you may choose more than one answer)
A. 2x - y = 1
B. y = 2x
C. 2x + y = 1
D. 1/2x - y =2
E. 2x - y = 3
Answers
Answer:
ABE
Step-by-step explanation:
Perpendicular means the slope of the line and the answer are reciprocal to each other.
The slope of the line is -1/2, which means the slope of the answer should be 2.
From A we got: y=2x-1
B:y=2x
C:y=-2x+1
D:y=-1/2x-2
E:y=2x-3
So the answer is ABE
help me Kaite bought 3 DVD's for $ 45. What was the cost of each DVD's
Answers
Answer:
45/3 = 15
They each where $15
Hope that helps
Step-by-step explanation:
Answer:
$15
Step-by-step explanation:
All you need to do is divide 45 by 3 and you get 15
A 12-ounce box of fruit loops is on sale for $2.88, What is the unit cost (what is the price per ounce)
Answers
Answer:
$0.24
Step-by-step explanation:
the working out would look something like this:
ounces dollars
12 : 2.88
duvide both by 12 to find 1 ounce
1 : 0.24
the price per ounce would be $0.24
hopefully this helps :)
Help ME!
Question 1: Evaluate the expression:
2+5⋅8
Question 8: 10÷(3−1⋅2)
Option answers for Question 8: 4, 10, 10/4, and 2.5
Answers
Answer:
Q1: 42
Q8: 10
Step-by-step explanation:
PEMDAS
You are the new manager at Taco bell. A customer told you that they had to wait 13 minutes for their food.You approach your staff and they assure you this was unusual, and the customer was just being dramatic. To verify, you decide to conduct a study on average wait time for food and find an approximately normal distribution of results. The mean wait time was 7 minutes The standard deviation was 2 minutes.
Label the bell- shaped curve. (2 pts)
On an average day you serve 300 people, how many people would have to wait longer than 13 minutes? (1 pt)
Was the customer’s wait time of 13 minutes unusual? Justify your answer with a complete sentence. (1 pt)
Answers
Yes, it is unusual
ㅤ
Helpppppppppp assssaaaap
Answers
==================================================
Explanation:
x = speed of the plane in mph
x-180 = speed of the car, since its 180 mph slower than the plane
For the plane, we can form the equation
distance = rate*time
d = r*t
500 = xt
t = 500/x
For the car, we can say,
d = rt
140 = (x-180)t
140 = (x-180)*(500/x)
140x = 500(x-180)
140x = 500x - 90,000
140x - 500x = -90,000
-360x = -90,000
x = (-90,000)/(-360)
x = 250
The speed of the plane is 250 mph
-----------------------------
Extra info:
The car's speed is x-180 = 250-180 = 70 mph
It takes the plane t = d/r = 500/250 = 2 hours and it takes the car t = d/r = 140/70 = 2 hours. Both vehicles travel for 2 hours, which helps to confirm the answer.
help me plss i need helppp
Answers
which expression is equivalent 2(t-4)+1?
Answers
Answer:
(Answer below)
Step-by-step explanation:
2t - 8 + 1
this is the expanded form of 2(t-4)+1 therefore, it is the same as 2(t-4)+1
how I got this: 2 x t = 2t 2 x 4 = 8 2t + 8 +1
What is 2+6 100 points the answer is 8 right?
Answers
Answer:
yes it is 8
Step-by-step explanation:
Answer:
Step-by-step explanation:
8