Answers
Answer:
x ≈ 7.1
Step-by-step explanation:
Using the cosine ratio in the right triangle.
cos27° = [tex]\frac{adjacent}{hypotenuse}[/tex] = [tex]\frac{KL}{KM}[/tex] = [tex]\frac{6.3}{X}[/tex] ( multiply both sides by x )
x × cos27° = 6.3 ( divide both sides by cos27° )
x = [tex]\frac{6.3}{cos27}[/tex] ≈ 7.1 ( to the nearest tenth )
Related Questions
5. What linear function defines the following Arithmetic Sequence?
-4, -1, 2, 5, 8,...
an = 4 - 3(n-1)
an = -4 -3(n-1)
an = 4 + 3(n - 1)
an = -4 + 3(n - 1)
Answers
Answer
A
Step-by-step explanation:
The linear function defines the arithmetic sequence is an = -4 + 3(n - 1). The correct option is D.
What is an arithmetic progression?
The sequence in which every next number is the addition of the constant quantity in the series is termed the arithmetic progression.
Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.
The given series is -4, -1, 2, 5, 8. The common difference of the series is calculated as,
d = -1 - ( -4 )
d = -1 + 4
d = 3
The equation will be written as,
an = a₁ + d(n - 1)
an = -4 + 3(n - 1)
Therefore, the linear function that defines the arithmetic sequence is an = -4 + 3(n - 1). The correct option is D.
To know more about arithmetic progression follow
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PLEASE HELP ME 100 POINTS (make full screen)
Answers
Answer:
See belowStep-by-step explanation:
Part 1Corresponding angles and sides of ΔMNP and ΔUVW are congruent:
∠M ≅ ∠U MP ≅ UW∠P ≅ ∠W PN ≅ WV∠N ≅ ∠V MN ≅ UVPart 2The triangles are congruent by SAS. One side and angle marked as congruent and another side is congruent as common to both.
Corresponding sides are congruent:
3x - 5 = 2x + 13x - 2x = 1 + 5x = 6Part 3Given ∠C ≅ ∠D
In order to prove the congruence of ΔAED and ΔBEC by ASA we need another angle and the included side to be congruent.
We can observe ∠AED ≅ ∠BEC as vertical angles.
Additional information we need is:
DE ≅ CEPart 4Triangles ABC and ADC are congruent by SAS:
AB ≅ AD∠DAC ≅ ∠BACAC ≅ ACTherefore corresponding sides BC and CD are also congruent
Perimeter of ABCD is:
P = AB + BC + CD + ADP = 12.1 + 7.8 + 7.8 + 12.1 = 39.8 cmAnswer:
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Write an inequality that represents the graph
Answers
Step-by-step explanation:
first step is to define the line, and then, secondly find the right direction of the inequality.
we see a few nice points with integer coordinates.
the one on the y-axis is particularly helpful (0, 1), as it gives up the y- intercept right away (1).
another point is (1, 3).
so, the slope is
x changes by +1 (from 0 to 1)
y changes by +2 (from 1 to 3)
so the slope is 2/1 = 2
that means our equation is
y = 2x + 1
the graph says that the inequality is everything bigger than the line value, and the line is not included (dashed line).
so, we get
y > 2x + 1
Tina needs 36 flowers for her next project. The flowers are sold in bunches
of 5.How many bunches will she need?
Answers
can someone please help?!
Answers
Answer:
Plot the points (0,0) and (1,3) to make the line.
Step-by-step explanation:
We know that a linear equation is y=mx+b, m is the slope and b is the y-intercept. We can see that the slope is m=3, and there is no b meaning b=0. Since the y-intercept is 0 we can start from the origin (0,0). The slope is 3/1 or known as rise/run. You go up 3 and go right 1, making the second point (1,3). This should work.
the 200$ camera was on sale 15% off what was the price
Answers
15% off 100 is $15 x2 is 30
Answer:
$170
Step-by-step explanation:
Select all relations that represent function
Answers
MAS CARDS
5. Determine if the equation has one solution, no solution, or infinite
solutions.
-2(x – 3) + 5 = -6(x + 1) + 4x
One solution
No solution
Infinite solutions
Answers
-2(x-3)+5=-6(x+1)+4x
Multiply to get rid of the parentheses
-2 x X = -2x
-2x-3=6
6 x X = 6x
6x1=6
New equation = -2x+6+5=-6x+6+4x
Add same
6+5=11
-6x + 4x = -2x
New equation = -2x+11=-2x+6
That just doesn’t work
Answer:
No solution
Step-by-step explanation:
-2(x-3)+5= -6(x+1)+4x
First Distribute:
-2x+6+5= -6x-6+4x
Then transfer all variables to one side and the rest to other side:*when transfer u turn to opposite number for example: -6x will transfer to 6x
6+5+6= -6x+4x+2x
Last solve
17=0
no solution
A real estate agent sold a lot for P550,000.00. If his agency pays 10% commission, how much commission will he/she receive?
Answers
Answer:
P55,000
Step-by-step explanation:
The amount of commission is found by multiplying the commission rate by the value of the sale(s).
commission = rate × sales
commission = 0.10 × p550,000 = P55,000
The agent will receive P55,000 in commission.
_____
Check
The amount of commission cannot be more than the value of the sale. It is generally a small fraction of the sale value. Here, it is 1/10.
137x723+462x50=?
do yall think its ok for your girl to k.i.s.s. other people?
and would yall let it slide and think it was a joke?
Answers
What is 3 divided by 7 pretty confused since I was on break for a long time
Answers
Answer:
3 divide 7 is 0.4285714285714286 but 7 divide 3 is 2.33 (Never ending)
Answer:
It’s a decimal, (0.42857142857)
Step-by-step explanation:
At the bakery shop, each baker works at his or her own speed, making the same number of cakes each day. Marissa makes 28 cakes in 2 weeks, Carlos makes 60 cakes in 20 days, and Shelby makes 5 cakes in 2 days.
When the shop owner graphs the relationship between the number of cakes made and days, who has the steepest graph? Explain.
Answers
Answer:
The rate of speed is Carlos
Step-by-step explanation:
M- 28 c in 14 days
C- 60 c in 28 days (2x as much as M)
S- 5 c in 2 days
Describe the slope of the line with the equation
y = -4x + 10.
A: positive slope
B: negative slope
C: zero
D: undefined
Answers
[tex]\huge \tt༆ Answer ༄[/tex]
The given equation of the line is in slope intercept form, and if we equate the given equation with general equation of line (y = mx + c) , we will get slope (m) = -4
And therefore, the slope of the line is B
Negative
Here is a trapezium.
20 m
Jenny wants to work out the area of
the trapezium.
13 m
She writes:
13 m
N
12 m
area =-
ol
(20+30)(13)
+5 m
+5 m
=(10+30)(13)
= 40x13
= 520 m²
What two mistakes did Jenny make in her method?
Answers
Answer:
Jenny wants to work out the area of
the trapezium.
13 m
She writes:
13 m
N
12 m
area =-
Step-by-step explanation:
what does x equal?
3/4(x+21)=10 1/2
Answers
Hope this helps :)
James is from Rochester. Today, he has to travel to Cannon Falls for a morning meeting and then to Austin for an afternoon meeting and then home again. Cannon Falls is 45 miles directly north of Rochester. Austin is 42 miles directly west of Rochester. There is a nice straight road from Cannon Falls to Austin. Calculate the total distance he will be driving. Round your answer to the nearest mile.
(Drawing a map may be helpful.)
Answers
Answer:
His total distance is 149 miles.
Step-by-step explanation:
Use the Pythagorean theorem to find the value of the straight road from cannon falls to austin. Then add that value with 42 and 45.
is y =6x a linear function
Answers
Answer:
Yes
Step-by-step explanation:
Here is the graph!
Yes.
y = 6x is a linear function because it makes a straight line on the graph. Also, the degree is 1.
____
Hope it helps ⚜
I AM ON MY LAST BRAINLY POINTS! NOBODY WILL HELP ME T-T! EVERYBODY SENDS ME RANDOM LINKS! IF U HELP ME U CAN GET THE CROWN
David mixed 5 3/8 cups of popcorn with 3 5/8 cups of pretzels. He then divided the snack into bags with 2/3 cups in each. After dividing, how many bags of snack bags will David have?
Answers
Answer: 13.5 bags
Explanation:
5 3/8 = 43/8
3 5/8 = 29/8
43/8 + 29/8 = 9
9 divided by 2/3 is 13.5
Hope this helps :)
Answer:
[tex]13 \frac{1}{2} [/tex]
Step-by-step explanation:
So first we can add the two snack together
So the
[tex]5 \frac{3}{8} + 3 \frac{5}{8} = 9[/tex]
Once we have that we can say 9÷2/3
And this will give us 13.5 or 13 and a half.
I really hope this helps
Raymond has 3 pounds of birdseed. He has 5 bird feeders in his yard. How much seeds can he put in each feeder?
Answers
Answer:
The answer is 0
Step-by-step explanation:
Based on the given conditions, formulate: 3 ÷ 5
Evaluate the equation/expression: 0.6
Find the largest integer less than or equal to : 0.6 : 0
Answer: 0
for these two rates, calculate the unit rate and determine if these two rates are proportional
Answers
How can you identify a linear function?
Answers
Answer:
Linear functions are those whose graph is a straight line. A linear function has one independent variable and one dependent variable. The independent variable is x and the dependent variable is y. a is the constant term or the y intercept.
Step-by-step explanation:
The bird house in your friend's yard casts a shadow that is 14 feet long. Your friend is 5 feet tall and casts a shadow that is 3.5 feet long. What is the height of the bird house?
Answers
Answer:
20 ft
Step-by-step explanation:
The shadow of the bird house is 14/3.5 = 4 times the length of your friend's shadow. Consequently, we expect the height of the bird house to be 4 times the height of your friend:
4(5 ft) = 20 ft
The height of the bird house is 20 ft.
Step-by-step explanation:
that creates 2 similar triangles.
that means all angles are the same, and all side lengths of one triangle correlate to the corresponding side lengths of the other triangle by the same multiplication factor.
so,
3.5 × f = 14
f = 14/3.5 = 4
and now the range factor applies in the relation between the heights :
5 × 4 = 20 ft
the bird house is 20 ft high.
A smoothie calls for of a peach, 8. of a banana, and a kiwi. What is the total quantity of fruits used for the smoothie
Answers
No of banana and kiwi = 8
So,
= 8×8
=64
Find the perimeter of the shape below:
Answers
Answer:
8m
Step-by-step explanation:
31. What are the perimeter and area
of AXYZ?
Х
5
W
Y
m
12
12
9
greater than
and less than
Z
=
A P= 28; A = 540
B P=42; A = 84
© P= 50; A = 216
DP= 54; A = 57
Answers
Answer:
tbh idek bc the pen pen duck duck duck goose I don't know I'm doing this for the beginning part
Use a calculator to solve this question. This cube has volume 50cm cube. Work out the length of the side of the cube to 2 dp.
Answers
[tex] \sf \: = \sqrt[3]{50} \: \:cm \\ \sf \: = 3.68 \: cm[/tex]
So the length of the side of the cube is 3.68 cm.Answer:
3.68 cm
Hope you could get an idea from here.
Doubt clarification - use comment section.
Solve the inequality:
12+x≥3(x-6)
Answers
Hello there! :)
The first step is to use the Distributive Property.
It states that
a(b+c)=ab+ac
Let's distribute 3, using this property:
3(x-6)=3x-18
Now, our inequality looks like so:
12+x≤3x-18
The next step is to move the variables to the left, using the opposite operation:
12+x-3x≤-18
12-2x≤-18
Now, move all the numbers to the right, using the opposite operation:
-2x≤-18-12
-2x≤-30
Divide both sides by -2 to isolate x.
Remember that when we divide by a negative variable, we change the inequality sign:
x≥15
Therefore, x≥15
Hope it helps.
~A lonely teen who helps others with a smile
-Grace :-)
Good luck.
Solve for g.
f=1/3(g+h-k)
help it’s timed
Answers
Answer:
g = 3f - h + k
Step-by-step explanation:
hope this helps! :D
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Marcus dropped a ball from a height of 400 cm. The sequence below shows the height of the ball, in cm, during its first four bounces.
240, 144, 86.4, 51.84,
Which formula could be used to determine the height of the ball after n bounces?
A. h(n) = 400(0.60)^n
B. h(n) = 400(0.60)^(n-1)
C. h(n)= 240(0.60)^n
D. h(n) - 240(0.60)^(n-1)
(nvm, I figured it out. sorry lol)
Answers
Answer: The answer is C.
You invest $4,300 in an account that pays you an interest rate of 8.5%, compounded continuously. Calculate the balance of your account after 10 years. Round your answer to the nearest hundredth.
Answers
Answer:
The amount is $8358.7 and the interest is $3858.7.
Explanation:
STEP 1: To find amount we use formula:
A = total amount
P = principal or amount of money deposited,
r = annual interest rate
n = number of times compounded per year
t = time in years
Step-by-step explanation: