Answer:
Each leg in a right triangle is adjacent to one of the acute angles and opposite the other acute angle.
Keep in mind that the labels “opposite” and “adjacent” depend on which angle you are talking about. The side opposite an angle does not need to be the height of the triangle. Consider the following example:
Step-by-step explanation:
one of the acute angles has a measure of any number.
Answer:
[tex]first \: it \: all \: depends \: on \: the \: position \: of \: the \: various \: angle \: \\ with \: respect \: to \: the \: sides \:o f \: the \: right \: angled \: triangle. \\ second \: the \: sides \: with \: out \: the \: cosine \: and \: sine\: rule \: will \: have \: no \: relationship \: with \: the \: acute \: angle.[/tex]
Step-by-step explanation:
[tex]let \: the \: sides \:o f \: a \: particular \: right \: angled \\ \: triangle \: be :x \: y \: and \: z \: \\ let \: x \: be : opp \\ let \: y \: be : adj \\ let \: z \: be : hyp \\then \\ \bull \: the \: sin \: relationship \: is \: given \: by : \\ \sin(of \: that \: aute \: angle) = \frac{opp \: side \: o f\: the \: right \: angled \: trianle}{hyp \: side \: o f\: the \: right \: angled \: trianle} = \frac{x}{z} \\while \\ \bull \: the \: cosin \: relationship \: is \: given \: by : \\ \cos(of \: that \: aute \: angle) = \frac{adj \: side \: o f\: the \: right \: angled \: trianle}{hyp \: side \: o f\: the \: right \: angled \: trianle} = \frac{y}{z} \\ \\ eg. \: if: \\ \: x \: be : opp \: and \: = 4 \\ \: y \: be : adj \: and \: = 2 \\ \: z \: be : hyp \: and \: = 12 \\ then : \\ \bull \: the \: sin \: relationship \: is \: given \: by : \\ \sin( \beta ) = \frac{x}{z} = \frac{4}{12} = 0.3333333333 \\ \beta = \sin {}^{ - 1} (0.3333333333) = 19.47 \\ while : \\ \bull \: the \: cosine \: relationship \: is \: given \: by : \\ \cos( \beta ) = \frac{y}{z} = \frac{2}{12} = 0.1666666667 \\ \beta = \cos {}^{ - 1} (0.1666666667) = 80.41[/tex]
♨Rage♨
geniuses/aces/trusted helpers help me plz!
What is the slope of the line represented by the equation 2x+3y= –12 ?
Answer:
[tex]\boxed{m} = - \frac{2}{3} [/tex]
Step-by-step explanation:
[tex]in \: other \: to \: get \: the \: slope \: of : \\ 2x+3y= –12 \\ the \: equation \: needs \: to \: be \: in \: the \: form : \\ y = mx + c \\ \\ where \: m \: is \: the \: slope \\ hence : \\ 2x + 3y = - 12 \\ 3y = - 2x - 12 \\ y = - \frac{ 2}{3} x - 4 \\ therefore \: the \: slope \: \boxed{m} = - \frac{2}{3} [/tex]
♨Rage♨
Martha put $4.84 in her coin bank. Each day she added 1 quarter, 1 nickel and 6 pennies how much does she add each day? How much money was in her coin bank after 6 days?
Answer:
-Martha would add $0.36 each day.
-Martha would have $7 in her coin bank after 6 days.
Step-by-step explanation:
1 quarter= $0.25
1 nickel= $0.05
1 penny= $0.01
To find the amount she adds each day, you have to add the results of multiplying each coin added on a day for its value:
1*0.25+1*0.05+6*0.01=0.25+0.05+0.06=0.36
This means that Martha would add $0.36 each day.
Then, to find the amount of money that was in her coin bank after 6 days, you have to add the amount she put on the coin bank plus the amount she added each day for the number of days:
$4.84+($0.36*6)=$4.84+$2.16=$7
According to this, Martha would have $7 in her coin bank after 6 days.
Find the distance between the two points rounding to the nearest tenth (if necessary).
(-9, -2) and (-1,0)
Answer:
8.2 units
Step-by-step explanation:
The formula for this type of problem is [ d = √(x2-x1)²+(y2-y1)² ]
d = √(-1-(-9))²+(0-)-2))²
d = √8²+2²
d = √64+4
d = √68
d ≈ 8.2
Best of Luck!
What is the equation of the line that passes through the point (3, 2) and has a slope of - 5/3
Answer:
y=-5/3+7
Step-by-step explanation:
Point Slope Formula: y=m(x-x1)+y
y=-5/3(x-3)+2
-5/3x+5+2
y=-5/3x+7 (y=mx+b)
y=-5/3x+7 is the equation of the line that passes through the point (3, 2) and has a slope of - 5/3.
What is Slope of Line?The slope of the line is the ratio of the rise to the run, or rise divided by the run. It describes the steepness of line in the coordinate plane.
The slope intercept form of a line is y=mx+b, where m is slope and b is the y intercept.
The slope of line passing through two points (x₁, y₁) and (x₂, y₂) is
m=y₂-y₁/x₂-x₁
We need to find the equation of the line that passes through the point (3, 2) and has a slope of - 5/3
m=-5/3.
We need to find the y intercept passing through (3,2)
2=-5/3(3)+b
2+5=b
7=b
Hence, y=-5/3x+7 is the equation of the line that passes through the point (3, 2) and has a slope of - 5/3.
To learn more on slope of line click:
https://brainly.com/question/14511992
#SPJ2
Evaluate 2d + 7e – 12 for d = 8 and e = 6.
The value of the expression is
Answer:
46
Step-by-step explanation:
you take the values of d and e and plug them in so you would get 2(8)+7(6)-12 the you would multiply the values and you would get 16+42-12
then you would add 16+42 and then subtract that answer by 12. 16+42= 58
58-12=46 so the answer would be 46 unless you need the expression which the expression would be 16+42-12
HELP PLEASE!!!!!!!!!!!!!!!!!! Pierre asks Sherry a question involving the theoretical probability of a compound event in which you flip a coin and draw a marble from the bag. The bag of marbles contains 3 white marbles, 8 green marbles, and 9 black marbles. Sherry's correct answer was 12/40. What was Pierre's question?
Answer:
Step-by-step explanation:
Yes
Answer:
What grade are you in
Step-by-step explanation:
A circular garden has a circular fountain in the center. The outer edge of the fountain is 7.5 feet from the outer edge of the garden. The diameter of the fountain is 5 feet. What is the circumference of the garden?
Answer:
The circumference of the garden is 62.84 ft
Step-by-step explanation:
Given;
diameter of the fountain, d = 5 feet
radius of the fountain, r = d / 2 = 2.5 feet
distance between the outer edge of the fountain and the garden = 7.5 feet
The radius of the garden = radius of the fountain + outer edge distance
The radius of the garden = 2.5 feet + 7.5 feet = 10 feet
The circumference of the garden = 2πr
The circumference of the garden = 2 x π x 10
The circumference of the garden = 62.84 ft
Therefore, the circumference of the garden is 62.84 ft
If me. Carter travels at a rate of 55 miles per hour, how far will she travel in 3.5 hours?
Answer:
She will travel 192.5 miles in 3.5 hours
Step-by-step explanation:
Multiply 55 by 3.5 to get 192.5. Hope this helped.
What are the first five terms of the sequence defined by the given function?
f(1)=-6
f(n)=f(n-1)+2, for n=2,3,4
A. -6, -8, -10, -12, -14
B. 2, 8, 14, 20, 26
C. 2, -4, -10, -16, -22
D. -6, -4, -2, 0, 2
TIMED HELP ASAP
y=3x−8 linear equation is given. Find x- and y-intercepts. Write ordered pairs representing the points where the line crosses the axes.
Answer:
y intercept is (0,-8)
x intercept is (8/3, 0)
Step-by-step explanation:
Daisy pompt 7 strandballen op waarvoor ze 100 l lucht nodig heeft, wat is de straal van deze strandballen? R= straal/ i= inhoud in liter formule: 1= 4/3x pi x r³
Antwoord:
r = 0,288m
Stapsgewijze uitleg:
Volume van de strandballen V = 4 / 3πr³
1 liter = 0,001 cm³
100l = x
x = 100 * 0,001
x = 0,1 m³
Vervangen in de formule en verkrijg de straal
0,1 = 4 / 3πr³
0,3 = 4πr³
r³ = 0,3 / 4 (3,14)
r³ = 0,3 / 12,56
r³ = 0,02388
r = ∛0,02388
r = 0,288m
Vandaar dat de straal van de strandballen 0.288m is
What is the slope of the following graph?
Answer:
-2/3
Step-by-step explanation:
If one measurement of a golden rectangle is 5.4 inches, what is the other measurement?
a.
8.737
b.
7.018
c.
1.618
d.
3.782
Answer:
answer is a
Step-by-step explanation:
the golden ratio is 1.618
5.48 ~ 1.618 = 8.737
A rancher uses 280 feet of fencing to build a rectangle corral for a horse. The length of the corral is 2.5 times the width what is the area of the corral.
Can someone please help me ASAP!
Answer:
4,000
Step-by-step explanation:
The area of corral build for a horse is equal to 4000 feet².
What is the area of a rectangle ?
Area of rectangle is the region occupied by a rectangle within its four sides or boundaries.
It is given that a rancher uses 280 feet of fencing to build a rectangular corral for a horse. This meant the perimeter of corral is equal to 280 feet.
Let's assume that the width of corral is of x feet.
Length of corral = 2.5x
We know that the perimeter of a rectangle is given by :
P = 2 ( L + B )
or
280 = 2 ( 2.5x + x)
Solving for the value of x i.e., width of corral will be :
3.5x = 140
x = width = 40 feet
and
Length = 100 feet
So , the area of corral will be :
A = L × B
or
A = 40 × 100
A = 4000 feet²
Therefore , the area of corral build for a horse is equal to 4000 feet².
Learn more about area of rectangle here :
brainly.com/question/25292087
#SPJ2
What is the first step in solving this expression? (Use Order of Operations)
30-5(12÷2•6)2
Answer:
with the rule of bodmas
B. bracket
O. of
D. division
M. multiplication
A. addition
S. subtraction
Step-by-step explanation:
so u solve the bracket
then u multiply it by the 2 on the LHS
then subtract ur RHS then multiply ur answer
Answer:
divide 12 by 2
Step-by-step explanation:
According to the order of operations (PEMDAS), you must first solve inside the parenthesis. This means you must now decide whether to solve 12 /2 first or 2 * 6. Because these are division and multiplication, which are equal, you just solve whichever one comes first, or is on the left. That would by 12/2.
find the value of x
Answer:
I say 79
Step-by-step explanation:
180 - 101= 79
Subtract 180 from 101.
Answer:
79
Step-by-step explanation:
a line = 180
101+x=180
180-101= 79
Identify the slope and y-intercept of the line. Then write the equation in slope form.
Answer:
y = x + 4
Slope (m) = 1
y-intercept (b) = 4
Step-by-step explanation:
y = mx + b
PLZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZ
Answer:
48 miles
Step-by-step explanation:
Let's break this down...
Lola ran 6 miles and if Mackenize ran 4 times it means you need to multiply 6 by 4 which is 24, now the passage states that Sebastian ran 2 times more than Mackenize so you multiply 24 by 2 which is 48 so Sebastian ran 48 Miles
Hope this helps!
Please help Find n(A) for the set, and then circle in one of the bubbles
A = {xAx % N and 18 K x K 24} (I'll give brain reward)
Step-by-step explanation:
B.n(A)=7.
good luck to you
What is something or someone you value?
fill in the blank with the correct answer!
Answer:
Then x would equal 42.
Answer:
42
Step-by-step explanation:
6*(x-7) = 5x
6x - 42 = 5x
x = 42
A rectangle is graphed on the coordinate grid. Which equation represents a side that is perpendicular to side d?
(a • b) • c = a • (b • c)
Answer:
Associative property
Step-by-step explanation:
Answer:
associative property of multiplication
Use a translation rule to describe the translation that is 8 units to the left and 1 unit down
1. (x, y) --> (x + 8, y + 1)
2 .(x, y) --> (x + 1, y + 8)
3. (x, y) --> (x - 8, y - 1)
4. (x, y) --> (x - 1, y - 8)
Step-by-step explanation:
the answer is (x, y) --->(x-8, y-1)
The sum of 3 times a number and 12 is 20
Answer:
[tex] 3x + 12 = 20 [/tex]
[tex] x = 2\frac{2}{3} [/tex]
Step-by-step explanation:
Let x represent the unknown number.
3 times the unknown number is 3*x. = 3x
The sum of 3x and 12 is said to be 20.
This can be represented by the following equation:
[tex] 3x + 12 = 20 [/tex] (sum means addition)
The equation of the statement given in the equation can be expressed as [tex] 3x + 12 = 20 [/tex].
We can equally find the value of the unknown number using the equation, thus:
[tex] 3x + 12 = 20 [/tex]
Subtract 12 from each side of the equation
[tex] 3x + 12 - 12 = 20 - 12 [/tex]
[tex] 3x = 8 [/tex]
Divide both sides by 3
[tex] \frac{3x}{3} = \frac{8}{3} [/tex]
[tex] x = 2\frac{2}{3} [/tex]
Lan mailed a package that weighed 5.63 pounds. What are the first 2 steps in rounding the number to nearest 10th? What is 5.63 rounded to the nearest tenth? PLZ keep it simple for me to understand
Answer:
5.63 rounded to the nearest tenth is 5.6
hi can yall plzzzzz help me
What value of n makes this equation true?
Answer:
n = 28
Step-by-step explanation:
Given
[tex]\frac{3}{4}[/tex] n - 18 = [tex]\frac{1}{4}[/tex] n - 4 ( multiply through by 4 to clear the fractions )
3n - 72 = n - 16 ( subtract n from both sides )
2n - 72 = - 16 ( add 72 to both sides )
2n = 56 ( divide both sides by 2 )
n = 28
what is 5,000 to the 4th power
eerf stniop
Answer:
6.25e+14Step-by-step explanation:
5000 to the power of 4
is too much for the calculator
and it will do this in return for asking this.
6.25e+14
Hope this helps! <3
Answer:
6.25^14
Step-by-step explanation:
Solve the equation 9x - 17 = -17 + 9x
Answer:
An infinite number of solutions.
Step-by-step explanation:
9x - 17 = -17 + 9x
0 = 0
Since the output is 0 = 0, there is an infinite number of solutions.
Answer:
All real numbers are solutions
Scott wanted to bye a sofa,which originally cost $500. Store A was selling it for 20% off 6.5% sales tax. Store B was selling it for 30% off and no sales tax, but Scott was required to an $85 shipping fee. Which option would allow Scott to purchase the sofa for the LEAST amount of money?
A.Store A at $400
B.Store A at $426
C.Store B at $350
D.Store B at $435
Answer:
B. Store A at 426
Step-by-step explanation:
If you want step by step just comment
Answer:
435
Step-by-step explanation:
Cost of sofa =$500
For store A
Discount =20% off
The amount of the discount is
=20/100*500
=0.2*500
=$100
6.5% sales tax
The amount of tax is
=6.5/100*500
=0.065*500
=$32.5
Total cost of the sofa
=500-100+32.5
=400+32.5
=$432.5
For store B
Discount =30% off
The amount of the discount is
=30/100*500
=0.3*500
=$150
Shipping fee $85
Total cost of sofa
=500-150+85
=350+85
=$435