Answer:
a bit more than 48°
Step-by-step explanation:
We use the law of cosines for this.
The theorem is an extension of pythagoras' theorem, working for all triangles. In our case
[tex]\overline{BC}^2=\overline{AB}^2+\overline{AC}^2-2\overline{AB}\cdot\overline{AC}cos \hat A[/tex]
Let's replace all the values we have and find whatever is left.
[tex]10^2=11^2+13^2-2(11)(13)cos \hat A\\-286cos\hat A = -190\\cos \hat A\approx 0.6643 \rightarrow \hat A \approx 48\°[/tex]
hello, can someone answer this question, please show work
Answer:
It's 10(10+3)
Step-by-step explanation:
10x10 is 100 and 3x10 is 30 which gives you 100+30
Answer:
a) 10(10 + 3)
Step-by-step explanation:
Which expresison is equivalent to 100 + 30 (130)?
a) 10(10 + 3)
10(10) + 10(3)
100 + 30 <== equivalent
130
b) 10(10 + 2)
10(10) + 10(2)
100 + 20 <== NOT equivalent
120
c) 5(20 + 25)
5(20) + 5(25)
100 + 125 <== NOT equivalent
225
d) 10(10 + 4)
10(10) + 10(4)
100 + 40 <== NOT equivalent
140
Therefore, the correct answer is 10(10 + 3)
Hope this helps!
A sector with arc measure 72º has an
area of 80 square feet. Determine
the radius of the circle.
A 18 ft
C 12 ft
B 20 ft
D 16ft
[tex]\qquad\qquad\huge\underline{{\sf Answer}}♨[/tex]
Let's find the Radius ~
[tex]\qquad \sf \dashrightarrow \: area = \frac{ \theta}{360} \times \pi {r}^{2} [/tex]
[tex]\qquad \sf \dashrightarrow \: 80= \frac{ 72}{360} \times \pi {r}^{2} [/tex]
[tex]\qquad \sf \dashrightarrow \: {r}^{2} = \frac{80 \times 360}{72 \times \pi} [/tex]
[tex]\qquad \sf \dashrightarrow \: {r}^{2} = \frac{80 \times 5}{ \pi} [/tex]
[tex]\qquad \sf \dashrightarrow \: {r}^{} = \sqrt\frac{400}{ \pi} [/tex]
[tex]\qquad \sf \dashrightarrow \:r = \frac{20}{ \sqrt{\pi} } [/tex]
or
[tex]\qquad \sf \dashrightarrow \:r \approx 11.28 \: ft[/tex]
I hope you understood the whole procedure, let me know if you have doubts ~
➖➖➖➖➖➖➖➖➖➖➖➖➖➖➖➖➖
What is the slop of the line?
5(y+2)=4(x-3)
A. 3/2
B. 2/3
C. 4/5
D. 5/4
Answer:
c. 4/5
Step-by-step explanation:
hello me again, answer this question, please show work
Answer:
6x
Explanation:
A number is x. 6 x x is written as 6x
Answer:
6x or 6*x
Step-by-step explanation:
Represent the following sentence as an algebraic expression, where "a number" is the letter x.
6 is multiplied by a number
6x
6 * x
Hope this helps!
Identify the key characteristics of the exponential function.
y =
2(1)"
Answer:
2x1 mabe
Step-by-step explanation:
im just doing that because they are next to eatch other but im in 6 grade so if i get it wrong dont blame me
Isaiah decides to launch a model rocket to demonstrate parabolic motion. Given x stands for time and y stands for height in feet, find the equation for his rocket if it launches at 5 seconds, lands at 11 seconds, and is at 80 feet after 10 seconds. Explain in one sentence how you created your equation.
The parabolic motion is an illustration of a quadratic function
The equation that models that path of the rocket is y = -16/31x^2 + 256/31x - 880/31
How to model the function?Given that:
x stands for time and y stands for height in feet
So, we have the following coordinate points
(x,y) = (5,0), (11,0) and (10,80)
A parabolic motion is represented as:
y =ax^2 + bx + c
At (5,0), we have:
25a + 5b + c = 0
c= -25a - 5b
At (11,0), we have:
121a + 11b + c = 0
Substitute c= -25a - 5b
121a + 11b -25a - 5b = 0
Simpify
96a + 6b = 0
At (10,80), we have:
100a + 10b + c = 80
Substitute c= -25a - 5b
100a + 10b - 25a -5b = 80
75a -5b = 80
Divide through by 5
15a -b = 16
Make b the subject
b = 15a + 16
Substitute b = 15a + 16 in 96a + 6b = 0
96a + 6(15a + 16) = 0
Expand
96a + 90a + 96 = 0
This gives
186a = -96
Solve for a
a = -16/31
Recall that:
b = 15a + 16
So, we have:
b = -15 * 16/31 + 16
b =-240/31 + 16
Take LCM
b =(-240 + 31 * 16)/31
[tex]b =256/31
Also, we have:
c= -25a - 5b
This gives
c= 25*16/31 - 5 * 256/31
Take LCM
c= -880/31
Recall that:
y =ax^2 + bx + c
This gives
y = -16/31x^2 + 256/31x - 880/31
Hence, the equation that models that path of the rocket is y = -16/31x^2 + 256/31x - 880/31
Read more about parabolic motion at:
https://brainly.com/question/1130127
Leyla is redecorating her living room. The room is in the shape of a right rectangular prism. The dimensions of the room are 15 feet in length by 10 feet in width by 8 feet in height.
She plans to cover the floor with hardwood. The cost of the hardwood is $3 per square foot. She plans to cover the walls and the ceiling with paint. Each container of paint costs $30 and can cover 275 ft².
What is the total cost of the hardwood flooring and paint needed for this room?
Drag and drop the responses to correctly complete these sentences.
Answer:
Total floor: 150 sq ft = $450
Wall and Ceiling: 550 sq ft = $60
Total cost $510
Step-by-step explanation:
Floor: 15 sq ft * 10 sq ft (L * W) = 150 sq ft
150 sq ft * $3 = $450
Walls: 2(H * L) = 2(8*15) = 240 sq ft
2(H * W) = 2(8*10) = 160
Total walls sq ft = 400 sq ft
Ceiling is same as floor = 150 sq ft
Total sq ft painted = 550 sq ft
550 sq ft / 275 sq ft (covered per paint) = 2 paints = $60
$450 floor + $60 paint = $ 510
Answer:
$510
Step-by-step explanation:
The floor of the room measures 15 ft in length and 10 ft in width.
The area of the floor is length × width = 15 ft × 10 ft = 150 ft².
The hardwood costs $3/ft².
The cost of the hardwood is: $3/ft² × 150 ft² = $450
The area of the walls is the lateral surface area of the rectangular prism.
The lateral surface area of the rectangular prism is the perimeter of the base times the height.
perimeter of the base = 15 ft + 15 ft + 10 ft + 10 ft = 50 ft
height = 8 ft
lateral area = total area of the walls = perimeter × height = 50 ft × 8 ft = 400 ft²
The paint costs $30/(275 ft²).
She needs to paint 400 ft².
400 ft² / 275 ft² = 1.45
She needs 1.45 containers of paint, but she must buy full containers of paint, so she must buy 2 containers since 1 container is not enough.
Cost of paint: 2 × $30 = 60
Total cost of hardwood and paint = $450 + $60 = $510
The table represents some points on the graph of a linear function
x y
-7 -2
-3 4
5 16
15 31
What is the rate of change of y with respect to for this function?
A. 2/3
B 3/2
C - 2/3
D - 3/2
Answer:
D
Step-by-step explanation:
C666666666666666666666
Henry begins a savings account with $500. The savings account accumulates 2.5% annual interest based on the
equation Vh= 500(1.025), where Vh is the value of the account after t years. Andres begins a savings account three
years later with the same initial amount of money at the same interest rate. Which equations represent the value of
Andres's account after t years?
A.
B.
C.
D.
Andre's account after t years is [tex]V_h=538.45(1.025)^t[/tex] since is option C.
Amount at the year endThe Amount accumulated at the end of a interest year is the sum of the principla amount and the interest gained on the principal amount.
How to find amount at the end of interest year?As Andres start the savings account after 3 years so, the equation representing the value of Andre's account after t years is-[tex]v_h=500(1.025)^{t-3}[/tex].
Also, the amount accumulated in the mean 3 years will be-
[tex]A=500(1.025)^3[/tex]
=$538.45
Hence, another way of writing the equation representing the value of Andre's account after t years is-[tex]V_h=538.45(1.025)^t[/tex]
As a result, option C is the correct answer.
Learn more about interest here: https://brainly.com/question/25545513
#SPJ2
What is the length of the hypotenuse? 5 and 4in
Answer:
1 foot
Step-by-step explanation:
you multiply 5 1/4 inches by two, you would get 10 1/2 inches. if 2 inches equals 1 foot then 5 inches would equal 10 inches and 1/4 would equal 1/2. If you put those numbers together, you get 10 1/2 inches. Therefore the answer is 2 inches = 1 foot.
How to write expressions as the sine, cosine, or tangent of a single angle
Line n goes through points A and B. What is the slope of line n?
Point A;(4,7)
Point B:(18,17)
Answer:
The slope is 5/7.
Step-by-step explanation:
Use a slope formula.
Slope:
[tex]\sf{\dfrac{y_2-y_1}{x_2-x_1} }[/tex]
y₂ = (17)
y₁ = (7)
x₂ = (18)
x₁ = (4)
Rewrite the problem down.
[tex]\sf{\dfrac{17-7}{18-4}=\dfrac{10}{14}={\dfrac{10\div2}{14\div2}=\boxed{\sf{\dfrac{5}{7}}}[/tex]
Therefore, the slope is 5/7.
I hope this helps! Let me know if my answer is wrong or not.
Answer:
5/7
Step-by-step explanation:
m=(y2-y1)/(x2-x1)
m=(17-7)/(18-4)
m=10/14
simplify
m=5/7
A recycling bin is in the shape of a right rectangular prism. The bin is 9 meters long, 5 meters wide, and 313 meters tall.
What is the volume of the recycling bin?
Enter your answer in the box.
V = m³
Answer:
14,085m³
Step-by-step explanation:
9*5*13
9*5=45
45*313=14,085
14,085
X 2.6.PS-14
Question Help
0
Marcia drew a plan for a rectangular piece of material that she will use for a blanket. Three of the
vertices are (-2.8, -1.7), (-2.8,3.7), and (2.8,3.7). What are the coordinates of the fourth vertex?
The coordinates of the fourth vertex are 1
(Type an ordered pair, using integers or decimals.)
Enter your answer in the answer box and then click Check Answer.
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Answer:
it should be (2.8,-1.7) hope it helps
5547x94
what is the answer
Answer:
521418
Step-by-step explanation:
Shawn is typing a paper for class. He can type 1 5/14 pages in 1/3 of an hour. How many pages can shawn type in one hour?
Answer:
4 1/14
Step-by-step explanation:
1 5/14 x 3 = 4 1/14
Answer:
4 1/14 pages
Step-by-step explanation:
multiply 1 5/14 by 3
start by multiplying 1 by 3 which is 3
then multiply 5/14 by 3, you just have to multiply the 5 and you get 15/14 which is 1 1/14
add 3 and 1 1/14 and you get 4 1/14
help me quickly
102% of 120=
102 is what percent of 120? = 85.
Answer:
122.4
Step-by-step explanation:
this is easy, all we need to do is multiply 120 by 1.02, since it is 2%, and it is increasing not decreasing. when we do that, we get 122.4. to check, you can also do .02x120, to get 2.4. please mark as brainlest.
help please this assignment is due in a few minutes
Answer:
C. 200 hours
Step-by-step explanation:
According to the given Question ,
Speed of Aeroplane is 400miles/hourIt means that the aeroplane covers 400 miles in 60 minutes.
and it is asked for 30 minutes , so
We know that 30 minutes is equal to 0.5 hours
By the formula ,
Distance = Speed × Time
putting the values given , we get
= 400×0.5
Distance = 200 miles
Calculator
40%Increased in 360
Answer:
504
Step-by-step explanation:
40%=.40
360*.40=144
original number + increase = x
360+144=504
The seats in a movie theater are arranged so that each row has 6 more seats than the row in front of it. If the first row has 24 seats, how many seats are in the 6th row?
a. 30
b. 48
c. 54
d. 60
Answer:
54 seats
Step-by-step explanation:
To make it easier, I'll put it like this.
Row | Seats
1 | 24
2 | 30
3 | 36
4 | 42
5 | 48
6 | 54
(Add 6, because each row has 6 more seats than the row in front of it.)
So, the 6th row has 54 seats.
Hope this helped !
PLEASE HELP ASAP
a. write the first four terms of the series
b. does the series diverge or converge?
c. if the series has a sum, find the sum
Answer:
i think it B
Step-by-step explanation:
An explicit rule for a sequence tells how to find an as a function of blank the first term,A1, the next term an+1,
Answer:
The correct answer is "the term number, n."
Step-by-step explanation:
Answer:
Step-by-step explanation:
on edge!! dear student... you got this.. don't procrastinate and more importantly don't doubt yourself. You CAN and WILL make it to 100%
help on this please.
Answer:
x = 46°
Step-by-step explanation:
the opposite angles of a cyclic quadrilateral are supplementary, sum to 180° , then
x + 134° = 180° ( subtract 134° from both sides )
x = 46°
What phrase is a description of 2m + 7
Answer: 7 more than 2 times a number
Step-by-step explanation:
To describe 2m it would by 2 times m since it is multiplication
When describing a variable simply call it a number
Now we have "2 times a number", but we still need to incorporate the +7
To represent +7 we can say "7 more" since that represents addition
So we end up with "7 more than 2 times a number"
Answer:
2 times m + 7
Step-by-step explanation:
2 is the coeficient
m is the y additive
Now say you invest the $7,500 and the highest interest rate you can find is 4.5% compounded annually,
but you would have to leave the investment in the account for a minimum of 4 years. If you decide to
wait 4 years to buy the car, how much more money will you have to save to buy a car at the $9,500
price? Use the compound interest formula A = P (1 + i)". (Round final answer to the nearest cent, but
otherwise don't round any intermediate values)
the answer is a i hope this helps
Step-by-step explanation:
hope this helps
The surface of an office desk has a perimeter of 20 feet and an area of 21 square feet. what are the dimensions of the desk?
Answer:
3 feet by 7 feet
Step-by-step explanation:
perimeter = 20 feet
area = 21 feet²
If the desk is a rectangle:
perimeter = 2l + 2w = 2 (l+w) = 20
2 (l+w) = 20 , divide both sides by 2
l+w = 10
area = l · w = 21
What numbers we know that have sum as 10 and their product as 21?
l + w = 10
l · w = 21
factors of 21 are 1,3,7
3+7 = 10
3 ·7 = 21
The dimensions of the desk could be 3 feet by 7 feet.
(05.02)
A line passes through (2, 8) and (4, 12). Which equation best represents the line?
oy-x+6
=
2
y = 2x + 7
y = 2x + 4
oy-*x+10
=
Answer:
⊕ y=2x+4
Step-by-step explanation:
1) all the answers are provided in slope-interception form, then
2) the slope of the required line is: (12-8)/(4-2)=2. The required line is like to y=2x+??;
3) if the points (2;8) and (4;12) belong to the line required, then the point (0;4) also belongs to this one. It means, the interception is 4;
4) finally, the line required is y=2x+4.
PS. note, the suggested solution is not the only way.
Which value of fff makes 3f+5=323f+5=323, f, plus, 5, equals, 32 a true statement?
Choose 1 answer:
Choose 1 answer:
(Choice A)
A
f=6f=6f, equals, 6
(Choice B)
B
f=8f=8f, equals, 8
(Choice C)
C
f=9f=9f, equals, 9
(Choice D)
D
f=12f=12
Answer:
f=9
Step-by-step explanation:
f+5=323f+5=32
We move all terms to the left:
3f+5-(323f+5)=0
We get rid of parentheses
3f-323f-5+5=0
We add all the numbers together, and all the variables
-320f=0
f=0/-320
f=9
Answer:
9
Step-by-step explanation:
The ratio of the number of dolls Jacky had to the number of dolls Peter had was 5 : 2 but, after Jacky gave 15 dolls to Peter, they have an equal number of dolls. How many dolls did they have altogether?
PLS HELP MEEE
The number of dolls Jacky is 50 and the number of dolls Peter is 20. Then the total number of dolls is 70.
What are ratio and proportion?A ratio is an ordered couple of numbers a and b, written as a/b where b can not equal 0. A proportion is an equation in which two ratios are set equal to each other.
The ratio of the number of dolls Jacky had to the number of dolls Peter had was 5: 2.
[tex]\rm \dfrac{x}{y}=\dfrac{5}{2}[/tex]
Let the number of dolls Jacky be x and the number of dolls Peter be y.
But, after Jacky gave 15 dolls to Peter, they have an equal number of dolls. Then we have
x - 15 = y + 15
x = y + 30
Then we have
[tex]\begin{aligned} \rm \dfrac{y+30}{y} &=\dfrac{5}{2}\\\\2y + 60 &= 5y \\\\3y &= 60 \\\\y &= 20 \end{aligned}[/tex]
Then x will be
x = y + 30
x = 20 + 30
x = 50
Then the total number of dolls they have altogether will be 70.
More about the ratio and the proportion link is given below.
https://brainly.com/question/14335762
Answer:
70
Step-by-step explanation:
BECAUSE
I need help I failing
Answer:
A and C
Step-by-step explanation:
Both A and C are the same shape, same size, but C is flipped over. If you were to cut out the two shapes and put them over one another, they would be the same. You can also count the blocks that are in the shape itself to see if they match.
The longer side on both has 2.5 blocks in it, the side is two blocks tall, and the smaller line has 1.5 of the block shown.
I'll will implement a sketch to show you what I mean and submit it here. Look at it if you are still confused
I hope this helps!
-No one