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]
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:
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:
How far will the snail be from the rock after 9 minutes?
Answer:
27 inches <3
Step-by-step explanation:
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.
8 + 2 + (1/2) + (1/8) +...... Find the sum of the infinite series.
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
#SPJ1
9 + (-6) = 3 is this correct
Answer:
yes u are correct,it's does equal that
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.
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 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
#SPJ2
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.
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:)
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 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
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
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]
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
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 HELPPP!! Thank you
Answer:
its 6,7 just make it right if im wrong
9c+4=-23 solve for x
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
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.
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:
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!
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
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.)
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