Answer:
The y in the second equation
Step-by-step explanation:
The y in the second equation is preceded by a negative coefficient, therefore it will be positive when added to the other side. All the numbers in the equation are even and easily divided by 2 as well. 2 is also the smallest number in the equation, so the remaining numbers will remain whole.
Instructions: Find the missing side lengths. Leave your answers as radicals in simplest form.
Given:
A figure.
To find:
The values of x and y.
Solution:
We know that, in a right angled triangle,
[tex]\sin \theta =\dfrac{Perpendicular}{Hypotenuse}[/tex]
[tex]\sin 60^\circ =\dfrac{x}{16}[/tex]
[tex]\dfrac{\sqrt{3}}{2} =\dfrac{x}{16}[/tex]
Multiply both sides by 16.
[tex]\dfrac{\sqrt{3}}{2}\times 16=\dfrac{x}{16}\times 16[/tex]
[tex]8\sqrt{3}=x[/tex]
And,
[tex]\cos \theta =\dfrac{Base}{Hypotenuse}[/tex]
[tex]\cos 60^\circ =\dfrac{y}{16}[/tex]
[tex]\dfrac{1}{2}=\dfrac{y}{16}[/tex]
Multiply both sides by 16.
[tex]\dfrac{16}{2}=y[/tex]
[tex]8=y[/tex]
Therefore, the missing side lengths are [tex]x=8\sqrt{3}[/tex] and [tex]y=8[/tex].
Clark bought a 3.2 Ib bag of potatoes , which had 10 potatoes. How many potatoes would there be in a 10 Ib bag?
9514 1404 393
Answer:
31
Step-by-step explanation:
If we assume the number of potatoes is proportional to the weight, then we can write the equation ...
n/10 = 10/3.2
n = 100/3.2 = 31.25 . . . . . . . multiply by 10
There may be 31 potatoes in a 10-lb bag.
Anton's mechanic charged $75 for a radiator and $50 per hour for labor. The total cost to install the radiator was $325. Approximately how long did it take the mechanic to install the radiator?
Answer: 5 hours
Step-by-step explanation: because 50 multiply by 5 is 250 and more 75 for radiator
Please help 15 points!!!
Answer:
she earns $10 per hour, and can earn $1 in 6 minutes (60 min divided by $10)
Step-by-step explanation:
1) Suzanne will pay $14 to get her hair cut. She wants to leave the hairdresser a 15% tip. What is the total cost of the haircut, including tip?
Answer:
$16.10
Step-by-step explanation
14.00x .15=2.10
14.00+2.10=16.10
just help quick please its easy but im dumb
Answer:
1:7 is the ratio
Step-by-step explanation:
the difference between 21 and 14 is 7. it also goes into 35.
What is the solution to the system of equations?
y=1/2x-6
x=-4
O (8,4)
O (4, -8)
O (4,4)
O (4,-4)
Answer:
(-4,-8)
Step-by-step explanation:
The solution to the system of equations is,
⇒ (- 4, - 8)
What is an expression?Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.
We have to given that;
The expressions are,
⇒ y = 1/2x - 6
⇒ x = - 4
Now, We can simplify the expression for y as;
⇒ y = 1/2x - 6
Put x = - 4;
⇒ y = 1/2 × - 4 - 6
⇒y = - 2 - 6
⇒ y = - 8
Thus, The solution to the system of equations is,
⇒ (- 4, - 8)
Learn more about the mathematical expression visit:
brainly.com/question/1859113
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f(3) = 3x(x-8) + 2
Describe the Transformation
Answer:
3×3(3-8)+2
9 (-5)+2
-45+2
= -43
{(-15, 3), (-5, 1), (0, 0), (10, -2)}
Constant:
Equation:
Direct & inverse variation (identify the constant of variation,then write the direct variation equation to represent the relationship) please helppp!!
Answer:
[tex]k = -\frac{1}{5}[/tex] -- Constant
[tex]y = -\frac{x}{5}[/tex] -- Equation
Step-by-step explanation:
Given
[tex]\{(-15, 3), (-5, 1), (0, 0), (10, -2)\}[/tex]
Solving (a): The constant of variation
The given parameter is of the form (x,y) and the variation constant is calculated using:
[tex]k = \frac{y}{x}[/tex]
For:(-15,3), k is calculated as
[tex]k = \frac{y}{x}[/tex]
[tex]k = \frac{3}{-15}[/tex]
[tex]k = -\frac{1}{5}[/tex]
For (-5,1)
[tex]k = \frac{y}{x}[/tex]
[tex]k = \frac{1}{-5}[/tex]
[tex]k = -\frac{1}{5}[/tex]
The equation is calculated using the following rule:
[tex]y = kx[/tex]
Substitute [tex]-\frac{1}{5}[/tex] for k
[tex]y = -\frac{1}{5} * x[/tex]
[tex]y = -\frac{x}{5}[/tex]
What is 1/4 divided by 9/10 rewritten with an important fraction?
Step-by-step explanation:
[tex]{:}\hookrightarrow\sf \dfrac {1}{4}\div \dfrac {9}{10}[/tex]
[tex]{:}\hookrightarrow\sf \dfrac {1}{4}\times \dfrac {10}{9}[/tex]
[tex]{:}\hookrightarrow\sf \dfrac {10}{36}[/tex]
[tex]{:}\hookrightarrow\sf \dfrac {5}{18}[/tex]
−7+11p=3p−47
what is p?
Answer:
p= -5
Step-by-step explanation:
because UwU and also −7+11p=3p−47
−7+11p=3p+−47
11p−7=3p−47
11p−7−3p=3p−47−3p
8p−7=−47 8p−7+7=−47+7
8p=−40 8p /8 = −40 /8
Answer:
P= -5
Step-by-step explanation:
NEED HELP PLEAS NEED TO PASS THIS
The slope of the line that passes through the points (0,3) and (5, 13) is?
Answer:
its not there bud
Step-by-step explanation:
True or false: The mapping for a reflection of point
(a, b) about the line
y=-is
(-a, b). (1 point)
O The Statement is false. The mapping for a reflection of point (a,b) about the line y= -x is (b,a)
O This statement is true.
O This statement is false. The mapping for a reflection of point (a,b) about the line y= -x is (-b,-a)
O The statement is false. The mapping for a reflection of point (a,b) about the line y+ -x is (a,-b).
Is -4.5 greater than -2.375?
Answer:
No it is not greater.
Step-by-step explanation:
-2.375 is greater than -4.5.
This is because -2.375 is closer to 0 than -4.5 is. The closer the negative number is to zero, the greater it is than numbers that are far away from zero.
#teamtrees #WAP (Water And Plant) #ELM (Every Life Matters)
2. Find the equation of the line with a slope of -2 and through the points (1,-17)
Answer:
y=−2x−15
Step-by-step explanation:
2.32.41
23.3.45
A
22
3044
212
B
35045
C
22
35.46
D. 2-35·36·45
Answer:
C is the answer
Step-by-step explanation:
the third one is the correct one
Angelina received two discounts on a $50 pair of shoes. The discounts were taken off one after the other. If she paid
$30 for the shoes, what was the percent discount for each coupon? Is there only one answer to this question?
Angelina received two discounts on a $50 pair of shoes. The discounts were taken off one after the other. If she paid
$30 for the shoes, what was the percent discount for each coupon? Is there only one answer to this question?
Answer:
There are many solutions.
Step-by-step explanation:
A 20% discount on $50 takes us to $40. A 25% discount on the $40 takes us to 30%.
We can also do a 4% discount to bring us to $48, followed by a 62.5% discount, to get to $30.
Sydney purchased a used car for $3,500. Her state charges a 5% tax for the car, $85 for registration, $60 for a new title certificate, and $35 for a state safety and emissions inspection. How much does Sydney need to pay for these extra charges, not including the price of the car?
Answer:
$355
Step-by-step explanation:
85+60+35=180
5% of 3,500 is 175
175+180=355
so if i did the math right that means the answer is $355
Hopefully the right answer
Maggie has three pages of homework to do.If she can do 1/4 of a page in one hour, how many will her homework take
Answer:
The answer is 12 hours.
Step-by-step explanation:
If she completes 1/4 of a page in an hour completing one page will take her 4 hours after that you multiply it by 3 and get the total of 12 hours that is takes for her to do her homework
Answer:
the answer is 12 :)))))
One fifth of a number is equal to triple that number less 28.
Let the unknown number be x. Write this word problem as an equation using the variable x.
Answer:
x=10
Step-by-step explanation:
x=(3x-28)5
-14x=-140
x=10
can someone explain how to solve this?
Which triangle is congruent to triangle ABC?
What is the quotient 5/8 + 1/5?
Answer:
33/40
Step-by-step explanation:
cross multiply
5 x 5 = 25
8 x 1 = 8
25 + 8 = 33 (our numerator)
8 x 5 = 40 (our least common denominator)
A person earns 23,000 one year and gets a 5% raise in salary. Calculate the new yearly salary using a percent greater than 100
Answer:
24,150
Step-by-step explanation:
Given that :
Salary earned this year = 23,000
Percentage Raise in salary for the new year = 5%
The new yearly salary can be obtained thus ;
(100% + percentage raise in salary) * salary earned this year
(100% + 5%) * 23,000
105% * 23000
1.05 * 23000
24,150
Please answer correctly !!!!!!!!!!!!! Will mark Brianliest !!!!!!!!!!!!!!!!!!
Which statement is true about minus 14 and minus 8?
Answer:
minus 14 less than minus 8 because minus 14 is located to the left of minus 8 on the number line.
Step-by-step explanation: Hope this is right! and I hope it helps you UwU
PLZZZZZZ HELP ME IM GIVING BRAINLIEST!!!!!!!!!! (4/5 = -9)
A. 5
B. 9
C. -45
D. 45
what are some fun games to play on your computer
help me thank you ! appreciate it
Answer:
what does it mean by equation
Kelly has a pool in her backyard, and she wants to build a fence around the entire area. Kelly's backyard is 14 meters wide and 15 meters long. It costs $6.63 per meter to install a wooden fence. How much would it cost to put a wooden fence around Kelly's backyard?
Answer:
$384.54Step-by-step explanation:
Dimensions of the backyard is 14 m by 15 m
The length of the fence is the perimeter of the backyard.
P = 2(l +w)P = 2(15 + 14) = 2(29) = 58 mOne meter of the fence costs $6.63
Cost of the entire fence is:
58*$6.63 = $384.54Answer:
perimeter of backyard=2(15+14)=58m
it cost
1m=$6.63
58m=$6.63×58=$384.54
therefore it cost
$384.54 to put a wooden fence around Kelly's backyard.