Answer:
first option
Step-by-step explanation:
Using the sine/ cosine ratios in the right triangle and the exact values
sin30° = [tex]\frac{1}{2}[/tex] , cos30° = [tex]\frac{\sqrt{3} }{2}[/tex]
sin30° = [tex]\frac{opposite}{hypotenuse}[/tex] = [tex]\frac{x}{32}[/tex] = [tex]\frac{1}{2}[/tex] ( cross- multiply )
2x = 32 ( divide both sides by 2 )
x = 16
----------------------------------------------------------
cos30° = [tex]\frac{adjacent}{hypotenuse}[/tex] = [tex]\frac{y}{32}[/tex] = [tex]\frac{\sqrt{3} }{2}[/tex] ( cross- multiply )
2y = 32[tex]\sqrt{3}[/tex] ( divide both sides by 2 )
y = 16[tex]\sqrt{3}[/tex]
What is the slope of the line in the graph?
-4/3
-3/4
3/4
4/3
Look for a Pattern: In a recent year. One United States dollar was equal to about 82 Japanese yen. How many Japanese Yen are equal to $100? $1,000? $10,000?
Answer:
[tex]\$100 = 8200\ Yen[/tex]
[tex]\$1000 = 82000\ Yen[/tex]
[tex]\$10000 = 820000\ Yen[/tex]
Step-by-step explanation:
Given
[tex]\$ 1 = 82\ Yen[/tex]
Solving (a): Equivalent of $100
Represent this with x.
So, we have:
[tex]\$100 = x[/tex] and
[tex]\$ 1 = 82\ Yen[/tex]
Cross Multiply:
[tex]x * \$1 = 82\ Yen * \$100[/tex]
[tex]x * 1 = 82\ Yen * 100[/tex]
[tex]x = 8,200\ Yen[/tex]
Hence:
[tex]\$100 = 8200\ Yen[/tex]
Solving (b): Equivalent of $1000
In (a)
[tex]\$100 = 8200\ Yen[/tex]
Multiply both sides by 10
[tex]10 *\$100 = 8200\ Yen * 10[/tex]
[tex]\$1000 = 82000\ Yen[/tex]
Solving (c): Equivalent of $1000
In (a)
[tex]\$100 = 8200\ Yen[/tex]
Multiply both sides by 100
[tex]100 *\$100 = 8200\ Yen * 100[/tex]
[tex]\$10000 = 820000\ Yen[/tex]
Pls help asp here are some points
Answer:
(the last one)
Step-by-step explanation:
Hi there!
This looks like a diagnostic. I had to take one last week and it was horrible!
Anyway, the numerator is the product of 5 and the sum of x and y, which can be written as 5(x+y)
The denominator is the product of negative 8 and x, which can be written as -8x.
I hope this helped!
PLS AWNSER IS LOTS OF POINTS
Johnny pays $5 a month to use an online ordering service for his company. He has to pay an additional $2 for each order placed. Graph the
equation y=2x+5 to model this equation
ITS RATIOS
BTW DON'T MIND I ANSWERED IT I CLICKED ONE BY ACCIDENT
Answer: 9:4
Step-by-step explanation:
I think
PLEASE HELP TIMED TEST!!!
Which interval below correctly describes the domain of the graph f ( x ) ? a.) (-∞,3} b.) [-3,5] c.) [-5,3] d.) (-∞,∞)
Answer:A
Step-by-step explanation:
If they both go down from 3 then it is 3 and then -infinity.
(this is my best answer without a picture, hope you get it right!)
please help me with this thankyou
Answer:
Area of the Rectangle is (length×breadth)
[tex]5 {x}^{5} {y}^{3} \times {(7 {x}^{3}y) }^{4} = 5 {x}^{5} {y}^{3} \times 2401 {x}^{12} {y}^{4} \\ = 12005 {x}^{17} {y}^{7} [/tex]
Third option is the right answer.
What percent of $144 is $18?
Answer:
Step-by-step explanation:
it is 12.5
Answer: the answer is 12.5%
What is 11/12 of a minute?
Answer:
55 seconds
Step-by-step explanation:
Okay so, 1/12 of a minute would be 5 seconds. 10/12 would be 50 seconds. You go up 5 continuously.
the point 2,1 is the turning point of the graph with the equation y=x^2+ax+b
Answer:
14/12/2019 — However, we know that the line passes through two known points with x and y coordinates. ... The equation of a curve is y = x^2 + ax + b where a and b are integers. ... x2 (or second order polynomial) graphs are symmetrical about their turning point ... Therefore, we know that the line intercepts the x-axis at (-1,0) and (5,0).
Step-by-step explanation:
Answer:
a = -4, b = 3
Step-by-step explanation:
sorry, im a bit late but hoping to help others that need the answer.
when you complete the square for a quadratic, you r answer can come in the form (x+p)^2+q.
in this form, p is the opposite of the x coordinate.
and q is the same as the y coordinate.
to get p and q from this, we find the opposite of the x coordinate and use the y coordinate we are given, and plug them into this equation.
we get: (x-2)^2+1
lets complete the equation now.
(x-2)^2 = x^2 - 4x + 4, then add the one we left out = x^2 - 4x + 5.
now our equation is in the same format as y=x^2+ax+b so we can just pull out the A and B which gives us:
A = -4
B = 5
if i am wrong please feel free to correct me, ty.
A football team moved -8 yards on one play, then lost another 4 yards on the next play. How many total yards did the football team move on those two plays?
Answer:
12 yards
Step-by-step explanation:
you subtract negative 8 and 4 and it gives you twelve yards of the play
Isabella's football team lost 2 yards on a running play.
Then they received a 20-yards penalty making them
lose an additional 20 yards.
Write a subtraction expression to represent the change
in yards.
Then write an equivalent addition expression.
What is the team's total change in yards?
Answer:
A loss of 22 yards
Step-by-step explanation:
(-2)+(-20)=-22
h(n) = 3^n+3; Find h (3n)
Answer:
[tex] h(3n) = 27^{n}+3 [/tex]
Step-by-step explanation:
[tex]h(n) = 3^n+3 \\ \\ plug \: n = 3n \\ \\ h(3n) = 3^{3n}+3 \\ \\ \red{ \bold{ h(3n) = 27^{n}+3 }}[/tex]
PLz help an show work for brainlist
Step-by-step explanation:
Its option D
As, for red $12 is charged
So 35 x $12 = 420
And white is $10
So, 20 x 10 = $200
= $420 + $200 = $620
Hope this helps
what equation represents the line show
Answer:
From looking at the graph, we can already tell it's a negative slope because it's tilting down, so we can eliminate A and D. Where the line intersects the y-axis is the y-intercept or b. Since it intersects at (0,2), the equation should be y=-2x+2.
Factor -45x - 18 using the greatest common factor. Do not use spaces in your answer
The ratio of the perimeter of the rectangle ABCD to the perimeter of rectangle EFGH is 4:7. The value of x is
Answer:
x = ~8.76
Step-by-step explanation:
Since we know that the scale factor is 4:7, we can figure that 5 will be 4/7 the size of x.
4/7 = 0.571
5 / 0.571 = ~8.76
Solve the following inequality. 36> -2(x+4)+14
Answer:
x > - 15
Step-by-step explanation:
Given
36 > - 2(x + 4) + 14 ← distribute and simplify right side
36 > - 2x - 8 + 14
36 > - 2x + 6 ( add 2x to both sides )
2x + 36 > 6 ( subtract 36 from both sides )
2x > - 30 ( divide both sides by 2 )
x > - 15
What should be the height of the water after 13 marbles are dropped in?
Answer:
about 13 marbles
Step-by-step explanation:
Pls
Help!!!!!
Directions: Find all missing angles.
Answer:
m<1 = 87°
m<2 = 45°
m<3 = 45°
m<4 = 52°
Step-by-step explanation:
Angle C is a right angle. Therefore, it is 90°. Because line segment BC bisects angle C, the two angles would be 45° since 90 ÷ 2 = 45.
So, angles 2 and 3 equal 45°.
Now that we have two angle measures, we can find the measure of the third angle.
45 + 48 = 93°
180 - 93 = 87°
Angle 1 equals 87°.
45 + 83 = 128°
180 - 128 = 52°
Angle 4 equals 52°.
Hope that helps.
Select all that are equal to 5^3• 5^-7
Answer: its b and c
Step-by-step explanation:
Set up a proportion to solve for x.
A 18
B) 9
C) 4.2
D) 3
HELPP
Which of the following values are solutions to the
inequality –8 + 2x > 5
Answer:
6
Step-by-step explanation:
i guess
Conray is 72 years old. He is three times his daughter's age. His daughter is three years younger than Nia.
How old is Nia?
1️⃣0️⃣‼ POINTS!!!
Answer: 27 I think
Step-by-step explanation:
72 divided by 3 plus 3
The age of Nia is given by the equation N = 27 years old
What is an Equation?Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.
It demonstrates the equality of the relationship between the expressions printed on the left and right sides.
Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.
Given data ,
Let the age of Nia be represented as N
Now , the equation will be
Let the age of Conray be C
The value of C = 72 years
And , Conray is three times his daughter's age
Let the age of Conray's daughter be D
The value of D = C / 3
Substituting the values in the equation , we get
The value of D = 72/3 = 24 years
And , Conray's daughter is three years younger than Nia
So , N = D + 3
Substituting the values in the equation , we get
N = 24 + 3
On simplifying the equation , we get
N = 27 years
Therefore , the value of N is 27 years
Hence , the age of Nia is 27 years
To learn more about equations click :
https://brainly.com/question/19297665
#SPJ2
Solve And Graph 12 + 6 _> 42
Answer:
Steps
12+6>42
simplify
18>42
There for the solution us FALSE
f(n) = 4n +3
g(n) = 3n²+2
Find f(n) - g(n)
help lol
Answer:
[tex](4n + 3) - (3 {n}^{2} + 2) \\ = 4n + 3 - 3 {n}^{2} - 2 \\ = - 3 {n }^{2} + 4n + 1 \\ ( - 3 {n}^{2} - 3n) - (1n + 1) \\ - 3n(n + 1) - 1(n + 1) \\ (n + 1)( - 3n - 1) \\ n = - 1 \\ n= \frac{1}{ - 3} [/tex]
Answer:
[tex]f(n) - g(n) = (4n + 3) - (3 {n}^{2} + 2) \\ = 4n + 3 - 3 {n}^{2} - 2 \\ = \boxed{4n - 3 {n}^{2} + 1}[/tex]
(4n²-3n+1) is the right answer.which expression has 3 terms
Answer:
D
Step-by-step explanation:
Benito wants to buy a car. He is considering two different models, Model Ais 5 ft wide. Model B is 87 in, wide. Express the width of each car in ft using a decimal. Which car is wider?
7w + 3 + 2w + 9 simplified
The answer is 9w + 12
hope this helps!
Answer:
9w + 12
Step-by-step explanation:
First, add the 7w and the 2w
7w + 2w = 9w
Second, add 3 and 9
3 + 9 = 12
Last, add the two together
9w + 12 =
Hope this helps!
6r +9r - 2r - 13n combine like terms.
Answer:
13r-13n
Step-by-step explanation:
just add 9r+6r get 15r then subtract it by 2r then you get 13r and you can't subtract unlike terms
Answer:
13r-13n
Step-by-step explanation:
6r+9r = 15r
15r-2r = 13r
13r-13n