Answers
Answer:
5.7
Step-by-step explanation:
cos 18° = x / 6
0.9511 =x / 6
cross multiply
x = 5.70666
To 1 decimal place
ANSWER = 5.7
Have a nice day !
Answer:
5.7 =x
Step-by-step explanation:
cos theta = adjacent side/ hypotenuse
cos 18 = x /6
6 cos 18 = x
5.706339098 =x
Rounding to the nearest tenth
5.7 =x
Related Questions
math pls pls help help no trolls i really need this grade
Answers
Answer:
The second one is 3 and the third one is 8
Step-by-step explanation:
Just trust me
What is the measure of an angle if it is fourteen times its own complement?
Answers
Answer:
Let the measure of the complementary angle be x so that the measure of the other angle is 14x. The total measure of the angles is 180 degrees.
Heeeelp please I'm desperate
Answers
Answer:
A = 108 ft²
Step-by-step explanation:
the length of the smaller rectangle must be 9 (27÷3)
therefore, the ratio of length to width is 3/9 and if the polygons are similar then the length and width of the larger shape would be 6/18
18 x 6 = 108
gabby volunteers at an animal shelter. Last month she volunteered 1 3/4 hours on each of 3 Saturday. She also volunteered 3/4 hour on 4 Wednesday evenings. How many hours of volunteer work did Gabby put in last month.
Answers
Answer:
8 1/4 hoursStep-by-step explanation:
Total hours:
3(1 3/4) + 4(3/4) = 3 + 3*3/4 + 3 = 6 + 9/4 = 6 + 2 1/4 = 8 1/4 hours100 points and brianllest for whoever answer first
Answers
Answer:
5/12 hour or 25 minutes
Step-by-step explanation:
The formula is
distance = rate * time
changing minutes to hours (50 * 1 /60 ) = 5/6 hours
distance = 20 mph * 5/6 hours
distance = 50/3 miles
We need to go the same distance at 40 mph
50/3 = 40 mph * time
Multiply each side by 1/40
50 /3 * 1/40 = 40 * 1/40 *t
50/3 *1/40 =t
5/12 of an hour
Changing back to minutes
5/12 * 60 =25
please help soon, i can't seem to figure this one out!!
Consider the following equation. -2x + 6 = -(2/3)^x + 5. Approximate the solution to the equation above using three iterations of successive approximation. Use the graph below as a starting point.
A. x = 3/4
B. x = 13/16
C. x = 7/8
D. x = 15/16
Answers
The required solution after three successive iterations is near x = 7/8. Option c is correct.
Equation is -2x + 6 = -(2/3)^x + 5. Approximate the solution to the equation above using three iterations of successive approximation.
The equation is the values of two expressions that are equal.
Here,
[tex]-2x + 6 = -(2/3)^x + 5[/tex]
Arranging the equation
[tex]-2x + 6 +(2/3)^x - 5 = 0\\(2/3)^x-2x+1=0[/tex]
Since the solution of the equation is when f(x) = 0 at near to x = 0.8
[tex]f(x) = (2/3)^x-2x+1\\[/tex]
First iteration at x =0.8
[tex]f(0.8) = (2/3)^x-2x+1\\ = (2/3)^{0.8}-2*0.8+1\\ = 0.123[/tex]
It will go up more to get exact zero, so
Second iteration at x = 0.9
[tex]f(0.9) = (2/3)^{0.9}-2*0.9+1\\f(0.9) = -0.106[/tex]
It seems that zero is near 0.9 so will go down
The third iteration at x = 0.87
[tex]f(0.87) = (2/3)^{0.87}-2*0.87+1\\f(0.87) = -0.037[/tex]
Here , solution is much near to x = 0.87 or x =7/8.
Thus, the required solution after three successive iterations is near x = 7/8.
Learn more about the equation here:
https://brainly.com/question/10413253
#SPJ5
Does anyone know the answer to this?
Answers
Two angle in a triangle equal 120°. What is the measure of the third angle?
a) 60°
b) 70°
c) 80°
d) 90°
e) 120°
Answers
Answer:
a) 60, because in every triangle, the angles always add up to 180. there are three angles in a triangle, and you k is two add to 120, so of you and 60 to 120 you get 180
1. State whether the following sets of lines
are parallel, perpendicular, or neither.
A y=5 and y = -2
B y=8 and x = 8
C y = 4x + 8 and y = -4x - 2
D y=-X+6 and y = x + 1
E y = 6x + 2 and y = 6x
Answers
B: perpendicular
C: neither
D: perpendicular
E: parallel
Explanation: Parallel lines have the same slope. Perpendicular lines have inverted and converted slopes. Neither has neither.
In ΔHIJ, the measure of ∠J=90°, IH = 5, HJ = 4, and JI = 3. What is the value of the tangent of ∠I to the nearest hundredth?
Answers
Explanation:
The required triangle is possible, the value of the tangent of ∠I is 1.33.
What are trig ratios?If you know the lengths of two sides of a right triangle, you can use trigonometric ratios to estimate the measures of one (or both) of the acute angles.
In a right triangle, the tangent of one of the acute angles is defined as the ratio of the length of the opposite side to the length of the adjacent side. In this case, we are looking for the tangent of ∠I.
Using the Pythagorean theorem, we can find the length of the third side, HJ, of the right triangle:
HI² = HJ² + IJ²
5² = 4² + 3²
25 = 16 + 9
tan(∠I) = opposite/adjacent = HJ/ JI = 4/3
Rounding to the nearest hundredth, we get:
tan(∠I) ≈ 1.33
Therefore, if the triangle is possible, the value of the tangent of ∠I is 1.33.
Learn more about trig ratios here:
https://brainly.com/question/14977354
#SPJ2
Finding a final amount in a word problem on exponential growt....
A certain forest covers an area of 2600 km². Suppose that each year this area decreases by 5%. What will the area be after 5 years?
Use the calculator provided and round your answer to the nearest square kilometer.
Answers
Answer:
2012 km squared
Step-by-step explanation:
2600(.95)^5
if its going down by 5 percent, we minus 5 from 100 and put it in decimal form. any decimal lower than 1.00 will result in a lower number. for 5 years, we place 5 as an exponent
uh sorry if that doesn't make a lot of sense
Which of the following is the correct graph of the compound inequality 4p + 1 >-11 or 6p +3 <39
Answers
Answer:
Option C
only there is p > -3
p < 6
Answer:
c
Step-by-step explanation:
Frereise !
Calculate the coordinates of the intersection point of the two lines (4.) and ((,)
1) (d): y = 4x-2 and (d): y = 8v+6 2)(a); y .-2x + 7 and (d): y = 3x - 3
3)(y *d
4) (4): y
and (d): y -
1
1
1
3
4
5
Exercise 2
1) The straight line (d): y = 5x + 2 cuts (x'x) and (y'y) at two points E and F respectively,
Calculate the coordinates of E and F
2) The straight line (d): y = cuts (x'x) and (y'y) at two points E and F respectively,
Calculate the coordinates of E and F
3
5
.
: y
2
Answers
Answer:
Mastong by skoger넞호오ㅗ노아ㅗ너너엉
What are the x- and y- intercepts for the graph of 5x-2y= 20
Answers
Answer:
x intercept: 4 y intercept: -10
Step-by-step explanation:
Use desmos graphing calculator :)
If the farm has 10,000 spinach plants, Describe a method that would produce a random sample and how many in your sample study?
Answers
Answer:
Take an even number of random samples from the 10000 spinach plants
lets assume you take ; 100 random samples each sample will contain = 10,000 / 100 = 100 spinach plants
Step-by-step explanation:
Given that the total number of spinach plants in the farm = 10,000
To obtain a random sample, take a census of the number of farms wherein the spinach plants are planted, determine the mean size and standard deviation of the farm that way you can apply the central limit theorem.
After determining these Take an even number of random sample from the 10000 spinach plants
lets assume you take ; 100 random samples each sample will contain = 10,000 / 100 = 100
Two angles are complementary. One angle is
fifteen more than twice the other angle.
What is the measure of each angle?
Answers
Step-by-step explanation:
Hey there!
Let "x°" be the first angle.
According to the question; the another angle is (2x+15)°. {since the condition of the question is fifteen more twice of the other angle }
Also, we know that complementary angles sum is 90°.
Then;
x° + 2x° + 15° = 90°
3x ° = 90°-15°
3x = 75°
x = 75°/3
Therefore, the angles are 25° and 65°.
Hope it helps!
Monique goes out for coffee once per week. She has already spent $40.86 this year on her coffees and each one is $4.54. There are 27 weeks left in this school year for Monique. If she continues getting coffee at this rate how much money will she have spent on coffee by the end of the year?
Answers
= $122.58
$ [tex]$163.44[/tex] money will she have spent on coffee by the end of the year.
What is PEDMAS rule?PEDMAS rule states that the order of operation starts with the parentheses first or the calculation which is enclosed in brackets. Then the operation is performed on exponents(degree or square roots) and later we do operations on division & multiplication and at last addition and subtraction.
According to the question
Monique goes out for coffee once per week.
She has already spent $40.86 this year on her coffees and each one is $4.54.
There are 27 weeks left in this school year for Monique.
If she continues getting coffee at this rate, money will she have spent on coffee by the end of the year:
Based on the given conditions
[tex]40.86 + 27 \times 4.54[/tex]
By using PEDMAS rule, first we have to multiply 27 and 4.54
= [tex]40.86 + 122.58[/tex]
By using PEDMAS rule, first we have to add 40.86 and 122.58
= [tex]163.44[/tex]
Thus, $163.44 money will she have spent on coffee by the end of the year.
Find out more information about PEDMAS rule here
https://brainly.com/question/24086845
#SPJ3
Which radical expressions are equivalent to the exponential expression
below? Check all that apply.
Answers
Step-by-step explanation:
:)
Hola bro espero y te sirva
In the number pattern above each term is 2 less than the previous term which of the following is also true about the pattern
A. All the numbers are odd
B.all the numbers are even
C.all the numbers are multiplies of 3
D. All of the numbers are prime
Answers
If the sum of the measures of 21 and 22 is 180°, what is the sum of the measures of 23 and 24?
Answers
Answer:
180
Step-by-step explanation:
it is a quadrilateral that has 360 degrees in total. So if 1 and 2=180 then 3 and 4=360-180=180. Hope this is right.....
Write an equation of a line in slope-intercept form with a slope of -12 and a y-intercept of 3.
a
y = 3x - 12
y = -12(3)+b
Ob
Ос
3= -12x + b
Od
y=-12x + 3
Answers
Answer:
y = -12x + 3
Step-by-step explanation:
The slope-intercept form of an equation can be written as y = mx + b where m is the slope and b is the y-intercept. We are given both values, so we can plug them into the equation to get:
y = mx + b
y = -12x + 3
If 24 - 2x = 19 + 3x, then x =
Answers
Answer:
1 =x
Step-by-step explanation:
24 - 2x = 19 + 3x
Add 2x to each side
24 - 2x+2x = 19 + 3x+2x
24 = 19 +5x
Subtract 19 from each side
24-19 =19+5x-19
5 = 5x
Divide by 5
5/5 = 5x/5
1 =x
if the pressure is 50 Pa and the mass of the object is 50 kg ,what is the surface area of the object?
Answers
Answer:
9.81m^2
Step-by-step explanation:
Given data
Pressure P= 50Pa
Mass M= 50kg
Weight= Mg= 50*9.81= 490.5N
Hence Force= 490.5N
We know that Pressure= Force/Area
Substitute
50= 490.5/Area
Area= 490.5/50
Area= 9.81 m^2
Hence the area is 9.81m^2
Evaluate expression-What is the value of the expression when x=11 and y=7
A.4
B.128
C.49
D.14
Answers
Answer:
C. 49
Step-by-step explanation:
Start by filling in your values.
[tex]7^{2} + 99 / 11 - 9[/tex]
Solve using PEMDAS.
49 + 99 / 11 - 9
49 + 9 - 9
58 - 9
49
Answer:
[tex]c .\: \: 49[/tex]
Step-by-step explanation:
[tex] {y}^{2} + 99 \div x - 9[/tex]
[tex] {7}^{2} + 99 \div 11 - 9[/tex]
[tex] 49 +99÷11-9[/tex]
[tex]49+9-9[/tex]
[tex]58-9[/tex]
[tex]49[/tex]
Hope it is helpful...Can someone help me?It's urgent and thank you!
Answers
([-8+3x)^2= 2^2
-8+3x=4
3x=4+8
X=12/3
Final answer:
X=4
I hope you understand my explanation so good luck and best of wishes!!
pa help po............. ............
Answers
Answer:
ΔABC
∠9 = ∠19 + ∠21
∠7 = ∠20 + ∠21
∠8 = ∠19 + ∠20
ΔXYZ
∠3 = ∠11 + ∠12
∠5 = ∠10 + ∠12
∠4 = ∠10 + ∠11
ΔNOR
∠1 = ∠5 + ∠6
∠2 = ∠ 4 + ∠5
∠3 = ∠4 + ∠6
Step-by-step explanation:
According to the exterior angle theorem, the exterior angle of a triangle is equal in measurement to the sum of the two interior angles of the triangle;
In triangle ΔABC, we have;
∠9 = ∠19 + ∠21
∠7 = ∠20 + ∠21
∠8 = ∠19 + ∠20
In triangle ΔXYZ, we have;
∠3 = ∠11 + ∠12
∠5 = ∠10 + ∠12
∠4 = ∠10 + ∠11
In triangle ΔNOR, we have;
∠1 = ∠5 + ∠6
∠2 = ∠ 4 + ∠5
∠3 = ∠4 + ∠6
explicit formula for an the nth term of the sequence 38,48,58
Answers
Answer:
10n + 28
Step-by-step explanation:
a + d (n-1)
a = 38
d = 10
38 + 10 (n-1)
38 + 10n -10
10n +38 - 10
10n + 28
Hope this helps!
Every tenth customer to Macy's end of the season sale gets a $10
coupon. Every twenty-fifth customer gets a free gift bag. Which customer
will be the first one to get both the $10 off coupon and the gift bag?
Answers
Answer:
50th
Step-by-step explanation:
10 multiply by 5 is 50
And 25 multiply by 2 is 50
50 is the first to appear on both sides
i need help u guysss
Answers
Answer:
Step-by-step explanation:
3 = 1(1 + x)^4
let q = 1 + x
3 = q^4
ln(3) = 4 ln(q)
ln(3)/4 = ln(q)
.274 = ln(q)
q = e^.274 = 1.316
x = .316
Future amount = 48(1+.316)^4
Future amount = 143.96
Algebra Mary decided to travel from home to school which is 600 metres away. She started by walking “x” metres, then ran for twice the distance she walked. Mary then decided to take the bus for the rest of the journey which 65 metres more than the distance she ran. a) State an expression in terms of x for; i) the distance Mary ran [1 mark] ii) the distance Mary travelled by bus . [2 marks] iii) the total distance travelled [ 2 marks] b) Using the balancing method, solve the equation, hence state the distance Mary walked. [4 marks]
Answers
Answer:
Step-by-step explanation:
Distance traveled by walking = x
i) The distance Mary run = 2 *x = 2x
ii) Distance traveled by bus = 65 m more than the distance she ran
= 65 m more than 2x
Distance traveled by bus = 2x + 65
Total distance traveled = 600 m
x + 2x + 2x +65 = 600
5x + 65 = 600
5x = 600 - 65
5x = 535
x = 535/5
x = 107
Distance Mary walked = 107 m
