sec(θ) = 2
By definition of secant,
cos(θ) = 1/2
Solve for θ :
θ = arccos(1/2) + 2nπ or θ = -arccos(1/2) + 2nπ
(where n is any integer)
θ = π/3 + 2nπ or θ = -π/3 + 2nπ
We get two solutions in the interval 0 ≤ θ < 2π :
θ = π/3 or θ = 5π/3
the perimeter of a square is 52cm
We know that:
Perimeter: 52cm4(side) = 52cmTo find the side, we will need to divide 52 by 4.
=> 4(side) = 52cm=> Side = 52 ÷ 4=> Side = 13cmTherefore, the side of the square with 52 cm of perimeter is 13 cm.
Hoped this helped.
[tex]BrainiacUser1357[/tex]
Item 2
A baker displays 72 muffins on 8 identical trays.
How many trays does the baker need to display 54 muffins?
Enter your answer in the box.
Answer:
The baker needs six trays to display 54 muffins
Step-by-step explanation:
72/8 = 9
9 x ? =
56
9 x 6 = 56
Answer:
6
Step-by-step explanation:
Muffins displayed in 8 identical trays = 72
Muffins displayed in 1 identical tray = 72/8 = 9
Tray required to display 54 muffins = 54/9 = 6
What is an
equation of the line that passes through the point (-8, -1) and is
parallel to the line x– 4y = 4?
Answer:
y=1/4x + 1
Step-by-step explanation:
first equation,,y=1/4x - 1
G1 = G2
G2 = 1/4
y+1 /x+8 =1/4
4y = X + 8 -4
4y =x + 4
y = 1/4x + 1
simplify 3q+3q+4q²
Explanation and working out please
Answer:
6q+4q²
Step-by-step explanation:
3q+3q+4q²
All you have to do is combine like terms(CLT)
3q+3q=6q
You can't combine 6q and 4q².
The end result is 6q+4q².
-hope it helps
Answer:
2q(2q+3)
Step-by-step explanation:
Martin spent six dollars on four avocados how much money does he spend for two avocados
Answer:
$3
Step-by-step explanation:
cut the price in half because the amount of items was reduced by half
Answer:
three dollars
Step-by-step explanation:
$6 for 4
$x for 2
6=4
x=2
cross multiply
2×6=4×x
12=4x
Divide through by 4
x= 3
What is the sum of the addition equation 0.7 + 0.2 = ________?
Answer:
7+2=9 so the answer is 0.9
Step-by-step explanation:
Solve for x:
1 - 8(x - 8) = 17
Rotation 180 counterclockwise around the origin of the point (-3,-7)
Answer: (3 , 7)
Step-by-step explanation: When rotating a point 180 degrees counterclockwise about the origin our point A(x,y) becomes A'(-x,-y). So all we do is make both x and y negative. Since x and y are already negative, they become positive due to the double negative rule.
A video game that normally sells for $80 is on sale for 60 what is the percent of discount for the sale price
Answer:
20% discount
Step-by-step explanation:
The ordered pairs (−4,−3)
, (−2,−2), (4,1), (6,2), and (8,3) represent a function. What is a rule that represents this function?
Write an inequality for the following statement:
The difference between twice a number and 6 is at least 35.
6−2n≥35
2n−6≥35
2n−6≤35
6−2n<35
The formula below represents the standard form of a quadratic equation.
ax2+bx+c=0
Solve for b.
b=−ax2−cx
x=−ax2−c
x=−ax2−cb
b=x−ax2−c
The tables below each follow a different pattern
Which table follows the input-output rule: “Each output is one less than double the input”
table 2
table 4
table 1
table 3
Which inequality accurately represents the graph shown below?
Jordan has a part-time job which pays $75 a week. He has already saved $55 toward the purchase of a $400 iPhone. Write an inequality you could use to find the minimum number of weeks Jordan must work to have enough money to buy the iPhone.
55w+75≥400
75w+55≤400
55w+75≤400
75w+55≥400
The equations and inequality expresses the relationship between the variables.
The correct responses are;
First part; The rule that represent the function is; y = 0.5·x - 1Second part; the correct option is the inequality; 2·n - 6 ≥ 35Third part; [tex]\displaystyle \underline{b = \frac{- a\cdot x^2 - c}{x}}[/tex]Fourth part; Table 4Fifth part; [tex]\displaystyle \underline{y < -\frac{1}{2} \cdot x - 4}[/tex]Sixth part; 75·w + 55 ≤ 400Reasons:
First part;
The difference between y-values following a change in 2 units of the x-value is a constant, and is equal to 1;
The rate of change of the function, m, is therefore;
[tex]\displaystyle m = \frac{2 - 1}{6 - 4} = \frac{1}{2} = 0.5[/tex]
The slope and intercept form of the equation of the function is therefore;
y - 3 = 0.5·(x - 8) = 0.5·x - 4
y = 0.5·x - 4 + 3 = 0.5·x - 1
The rule that represent the function is; y = 0.5·x - 1
Second part;
2·n represent twice the number
The difference between twice the number and 6 = 2·n - 6
At least 35 = ≥ 35
Therefore, the inequality is; 2·n - 6 ≥ 35
Third part;
The given quadratic equation is; a·x² + b·x + c = 0
Therefore;
[tex]\displaystyle \underline{b = \frac{-c - a\cdot x^2}{x}}[/tex]
Fourth part;
The best correct option is table 4, given that the table is as follows;
[tex]\begin{tabular}{|c|cc|}In&&Out\\Not clear&&\\9&&17\\10&&19\end{array}\right][/tex]
Fifth part;
The y-intercept of the graph is -0.5
The slope is -4 ÷ 8 = -0.5
Therefore, the equation is; y = -0.5·x - 4
The shaded area is the area lower than the y-values, with broken lines (indicating < relationship) which gives, the correct inequality as follows;
[tex]\displaystyle \underline{y < -\frac{1}{2} \cdot x - 4}[/tex]
Sixth part;
The amount Jordan part-time job pays = $75
The amount he has already saved = $55
The cost of the iPhone = $400
Let w represent the number of weeks Jordan works, at his part-time job to purchase the iPhone, we have;
75·w + 55 ≤ 400
Learn more about writing equations and inequalities here:
https://brainly.com/question/14321394
Greg buys a school lunch for $1.50 each day. His caretaker gave him $40 for his lunches. What equation represents how much money Greg has?
Answer:
1.50 + 40= $41.50
Step-by-step explanation:
if Greg only had $1.50 and then he got an additional $40, he now has $41.50.
Please quickly answer number 17&18 I will give brainliest
Answer: 17) 150°C 18) 17 minutes
Step-by-step explanation:
x represents time in minutes and y represents temperature in Celsius
17) y=10x+30
y=10(12)+30
y=120+30
y=150 - Therefore, the water temperature will be 150°C after 12 minutes
18) 200=10x+30
10x+30=200
10x+30-30=200-30
10x=170
x=17 - Therefore, the water temperature will reach 200°C after 17 minutes
How far will the snail be from the rock after 9 minutes?
Answer:
27 inches <3
Step-by-step explanation:
8 + 2 + (1/2) + (1/8) +...... Find the sum of the infinite series.
Hi someone please help
Answer:
1st one is 68 and the 2nd one is 25. hope that helps
Answer:
1. 112°2. 25°Step-by-step explanation:
1. 50° + 62° = x°
112° = x°
2. x° + 125° = 150°
x° = 150° - 125°
x° = 25°
(An exterior angle of a triangle is equal to the sum of its two interior opposite angles.)
What is the greatest multiple of 99 that is less than 0?
Answer: -99
Step-by-step explanation:
This is a tricky question because we are dealing with negative numbers. In this case, the numbers that are closer to 0 are the greater numbers. So, the greatest multiple of 99 that is less than 0 would be -99.
use the model to solve for x
Therefore, using the models, we can conclude that the answer is x = 3.
Hoped this helped.
[tex]BrainiacUser1357[/tex]
9c+4=-23 solve for x
HELPPPPPPP PLSSSSS!!!!!! 100 points
Given: Angle T S R and Angle Q R S are right angles; Angle T Is-congruent-to Angle Q
Prove: Triangle T S R Is-congruent-to Triangle Q R S
Triangles T S R and Q R S share side S R. Angles T S R and S R Q are right angles. Angles S T R and S Q R are congruent.
Step 1: We know that Angle T S R Is-congruent-to Angle Q R S because all right angles are congruent.
Step 2: We know that Angle T Is-congruent-to Angle Q because it is given.
Step 3: We know that Line segment S R is-congruent-to line segment R S because of the reflexive property.
Step 4: Triangle T S R Is-congruent-to Triangle Q R S because
of the ASA congruence theorem.
of the AAS congruence theorem.
of the third angle theorem.
all right triangles are congruent.
Answer:
B.of the AAS congruence theorem.
Step-by-step explanation:
hope this helps!
I rlly need help on this homework
Hi there! :)
First, let's use the Distributive Property.
It states that
a(b+c)=ab+ac
Therefore
5(2h+8)=10h+40
10h+40<60
Move all the numbers to the right, using the opposite operation:
10h<60-40
10h<20
h<2
Hope this helps. Use the comment section to clarify your doubts.
Answered by
~A teen whose hobby is helping others
Good luck.
Hey there!
5(2h + 8) < 60
= 5(2h) + 5(8) < 60
= 10h + 40 < 60
SUBTRACT 40 to BOTH SIDES
= 10h + 40 - 40 < 60 - 40
CANCEL out: 40 - 40 because it gives you 0
KEEP: 60 - 40 because it helps solve for the h-value.
NEW EQUATION: 10h < 60 - 40
SIMPLIFY IT!
= 10h < 20
DIVIDE 10 to BOTH SIDES
= 10h/10 < 20/10
CANCEL out: 10/10 because that gives you 1
KEEP: 20/10 because it gives you the result of the h-value
NEW EQUATION: h < 20/10
SIMPLIFY IT!
= h < 2
Therefore, your answer is: h < 2
Good luck on your assignment and enjoy your day!
~Amphitrite1040:)
Please HELPPP!! Thank you
Answer:
its 6,7 just make it right if im wrong
Round 68,533 to the nearest hundred.
Answer:
68,500
Step-by-step explanation:
68,533 <- Hundreds place is underlined
[] To round, we look at the number right the place. If it is less than 5, keep it the same. If it is five or greater , round up.
[] In this case it is a 3, so we keep it the same. We get an answer of 68,500
Have a nice day!
I hope this is what you are looking for, but if not - comment! I will edit and update my answer accordingly. (ノ^∇^)
- Heather
Find the area of the figure:
6 in.
5 in.
M
5 in.
10 in.
The area is
square inches.
The area of the composite figuren as shown in the diagram is 90 in².
What is area?
Area is the region bounded by a plane shape.
To calculate the area of the figure, we use the formula below
Formula:
Area of the figure = Area of the rectangle+Area of the trapeziumA = aw+h(a+b)/2..................... Equation 1Where:
a = Length of the rectangle = Length of on of the side of the trapezium = 10 inb = Length of the other side of the trapezium = 6 inh = Height of the trapezium = 5 inw = Width of the rectangle = 5 inSubstitute these values into equation 1
A = (5×10)+5(10+6)/2A = 50+40A = 90 in²Learn more about area here: https://brainly.com/question/28470545
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9 + (-6) = 3 is this correct
Answer:
yes u are correct,it's does equal that
the total cost of a watch and a radio is rs 500 .If the watch is cheaper than the radio by rs 150,find their cost
Brainliest
Please do one of the above
(I would appreciate if you did more then one)
Answer:
a) 52.5 ft. b)40.1ft c)12.5ft d) 72.6
Step-by-step explanation:
a) The height of the lighthouse is 84ft, and the angle of elevation is 58 degrees.
tan58=84/x
find x by dividing 84 by tan58, and you get 52.5ft.
b) do the same thing, except 131 is in the base of the right triangle shape. That being said, do tan17=x/131.
multiply 131 by tan17, and you get x=40.1 feet.
c) This question wants you to find the length of the slide, (basically the hypotenuse).
given the angle to be 46, do sin46=9/x
since sin is opp/hyp
9/sin46= 12.5ft
d) Find the angle of elevation by using inverse tan given the base to be 5, and the height to be 16ft.
tan^-1=(16/5)=theta
x=72.6 hope this helps!
Answer:
Step-by-step explanation:
why is root 3 not 1.5
like a square of 3m2
wouldn't both sides have 1.5
1.5x1.5 = 3 ?
So why is root 3 =1.73...
A TV has a listed price of $900.99 before tax. If the sales tax rate is 6.75%, find the total cost of the TV with sales tax included.
Round your answer to the nearest cent, as necessary.
Solve each system of linear equations by elimination.
X-6y=7
-x+6y= -7 -
Answer:
Infinitely many solutions.
Step-by-step explanation:
x-6y=7
-x+6y=-7
--------------
0=0
infinitely many solutions.
a box of snacks contained 20 individual packages. the newly designed box contains 28 individual packages by what percent did the individual packages increase
Answer:
40%
Step-by-step explanation:
increased amount = 28 - 20 = 8
to get the percentage we have to divide the increased amount by original amount which will be 8/20 = 0.4
0.4 is 40%
The percentage increase is given as:
= [ (Final value - Initial value) / Initial value] x 100
The percentage increase in the number of individual packages is 40%
What is a percentage?The percentage is calculated by dividing the required value by the total value and multiplying by 100.
Example:
Required percentage value = a
total value = b
Percentage = a/b x 100
We have,
Number of initial individuals packages = 20
Number of final individuals packages = 28
The percentage increase is given as:
= [ (Final value - Initial value) / Initial value] x 100
The percentage increase in the number of individual packages:
= [(28 - 20) / 20] x 100
= (8/20) x 100
= 40%
We can cross-check:
100% = 20 packages
140% = 140/100 x 20 packages
140% = 28 packages.
Thus,
The percentage increase in the number of individual packages is 40%
Learn more about percentages here:
https://brainly.com/question/11403063
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