Answers
Answer:
[tex]a=\sqrt{609}\\\\a\approx 24.67793[/tex]
Step-by-step explanation:
To solve for the leg of the missing right triangle, one must use the Pythagorean theorem. The Pythagorean theorem states the following,
[tex]a^2+b^2=c^2[/tex]
Where (a) and (b) are the sides adjacent to or next to the right angle. (c) is the side opposite the right angle. Substitute in the given values and solve for the unknown,
[tex]a^2+b^2=c^2\\[/tex]
Substitute,
[tex]a^2+40^2=47^2\\[/tex]
Simplify,
[tex]a^2+1600=2209\\[/tex]
Inverse operations,
[tex]a^2=609[/tex]
[tex]a=\sqrt{609}\\\\a\approx 24.67793[/tex]
Answer:
b = 9 mm
Step-by-step explanation:
Using Pythagoras; identity in the right triangle
b² + 40² = 41²
b² + 1600 = 1681 ( subtract 1600 from both sides )
b² = 81 ( take the square root of both sides )
b = [tex]\sqrt{81}[/tex] = 9 mm
Related Questions
What is the probability that you draw a King in Hearts and then a Queen in Hearts out of a deck of 52 playing cards without replacing?
Answers
Answer:
p = 1/2,652
Step-by-step explanation:
p = 1/52 * 1/51
p = 1/2,652
Determine whether the triangles are congruent. Explain your reasoning .
Answers
Answer:
The triangles are congruent
Step-by-step explanation:
The Triangles are congruent because they have the same side lengths and and angle measures.
A teacher buys a bag of chips and a candy bar for each of the 25 students in her class. Each bag of chips cost $0.40. The teacher spends as total of $65 for chips and candy bars
Answers
Answer: 2.20 per candy bar
Step-by-step explanation:
1. 0.40(25) + x(25) = 65
2. 10 + 25x = 65
3. 25x = 55
4. x = 2.20
If we have a picture that is 3 inches wide and 5 inches long. What would the dimensions be if I want the picture to be 10in. Long?
Answers
Answer:
6 inches wide, 10 inches long
Step-by-step explanation:
You have to double 3 since 5 is doubled to 10. 3 doubled is 6.
Answer:
6in wide and 10in long
Step-by-step explanation:
In order to get the picture to be 10in long you need to multiply the 5in by 2, which now means you need to also multiply the 3in by 2.
In 2001 the club's total income was£1000 the club spent 60%of its total incoming on a hall. It spent farther £250 on price work out this ratio the amount spent on the hall the amount spent the prise
Answers
Answer:
We need to know the question??
Step-by-step explanation:
can someone help me w this 2 question , i need step by working tysm. i will give brainliest !!
Answers
Hey buddy I am here to help!
5. y = ax + b
-5 = a*4 + b
-5 = 4a + b
If we take a as -2
-5 = 4*-2 + b
-5 = -8 + b
b = -5 - (-8)
b = -5 + 8
b = 3
so... a = -2 and b = 3
6. (i) y = 5x - 2
(1,7)
y = 7 & x = 1
7 = 5*1 -2
7 = 5 - 2
7 = 3
so this point (1,7) is wrong
(ii) y = 5x -2
we can take any value for x...
e.g. x = 2
y = 5*2 - 2
y = 10 -2
y = 8
SO answer in this case would be (2,8)
Plz mark my answer brainliest
Tickets numbered 1 to 20 are mixed up and then a ticket is drawn at random. What is the probability that the ticket drawn at random, has a multiple of 4 ?
1/2
1/5
1/4
2/5
Answers
Answer:
Probability [Ticket drawn at random, has a multiple of 4] = 1/4
Step-by-step explanation:
Given:
Total number of tickets = 20
Multiple of 4 = 4 , 8 , 12 , 16 , 20
Total number of Multiple of 4 = 5
Find:
Probability [Ticket drawn at random, has a multiple of 4]
Computation:
Probability of en event = Number of favourable outcome / Total number of outcomes
Probability [Ticket drawn at random, has a multiple of 4] = Total number of Multiple of 4 / Total number of tickets
Probability [Ticket drawn at random, has a multiple of 4] = 5 / 20
Probability [Ticket drawn at random, has a multiple of 4] = 1/4
4. Which list are the numbers in order from least to greatest
Answers
Answer:
a
Step-by-step explanation:
my brother told me....
Which of the following is(are) the solution(s) to 16x-51- 7?
O A. X=
3
O B. x= -2
O C. X= 2-
OD. x = 2
Answers
Answer:
C
Step-by-step explanation:
Given
| 6x - 5 | = 7
The absolute value function always gives a positive value, however, the expression inside can be positive or negative, that is
6x - 5 = 7 ( add 5 to both sides )
6x = 12 ( divide both sides by 6 )
x = 2
OR
- (6x - 5) = 7 ← distribute parenthesis on left side by - 1
- 6x + 5 = 7 ( subtract 5 from both sides )
- 6x = 2 ( divide both sides by - 6 )
x = [tex]\frac{2}{-6}[/tex] = - [tex]\frac{1}{3}[/tex]
Then solutions are x = 2, x = - [tex]\frac{1}{3}[/tex] → C
can anybody help me with this one ?
Answers
Answer:
D answer
Step-by-step explanation:
x=- 1/ 2 answer is d.
Bonus: double your money! One bank promises they can double your money if you invest
with them. If that were true, and you started with just 1 penny, how many doublings would you
need to reach your pennies to the moon?
Answers
Answer:
Y'all playing with me........right???
I need help ASAP thank uuuu
Answers
Answer:
A. 4.5
Step-by-step explanation:
You can find the center value (median) either by crossing off a box from the lower number end and one off the higher number end until you find the middle value, or by writing them out and doing the same.
2, 3, 3, 3, 3, 4, 4, 4, 4, 4, 5, 5, 5, 5, 6, 6, 7, 8, 9, 10
Since there are 20 numbers, there are two center numbers, 4 and 5. So we take the average of them, which is 4.5
Find three consecutive odd integers such that the sum of twice the first and three times the second is 55 more than twice the third.
Answers
Answer:
Step-by-step explanation:
let the numbers be n,n+2,n+4
2n+3(n+2)=2(n+4)+55
2n+3n+6=2n+8+55
2n+3n-2n=63-6
3n=57
n=57/3=19
so numbers are 19,21,23
Answer:
-19.333…
-18.333…
-17.333…
Step-by-step explanation:
First is x
Second is x+1
Third is x+2
2x+3(x+1)=2(x+2)-55
2x+3x+3=2x+4-55
5x+3=2x-51
5x-2x=-51-3
3x=-58
3x/3=-58/3
x=-19.333…
x+1=-19.333+1
=-18.333...
x+2=-19.333+2
=-17.333...
please help! 10 points, thank you
Answers
Answer:
B
Step-by-step explanation:
time = 8 years
principle = 6000
Money earned = 3000
Money earned= p * r * t
3000 = 6000 * r/100 * 8
3000 = 48000 * r/100
3000 = 480 * r
3000 / 480 = r
6.25 % = r
Find the indicated area of the sector surrounded in bold . Use 3.14 for pi!
Answers
Answer:
75.4 yd²
Step-by-step explanation:
Formula for Area of a sector when the central angle is given in degrees is given as :
θ/360 × πr²
Where:
Central angle = θ = 135°
Radius = r = 8yd
π = 3.14
Hence,
135/360 × 3.14 ×(8yd)²
= 75.36 yd²
Approximately the Area of the sector = 75.4 yd²
The population of a U.S. City was at 130,000 in 2014. It grew at a rate of 2.6% per year. What is the population today?
Answers
Answer:
155,588
Step-by-step explanation:
The formula for calculating future value:
FV = P (1 + r)^n
FV = Future value
P = Present value
R = growth rate
N = number of years 2021 - 2014 = 7
130,000(1.026)^7 = 155,587.6
rounding off to the nearest whole number is 155,588
To round off to the nearest whole number, look at the first number after the decimal, if it is less than 5, add zero to the units term, If it is equal or greater than 5, add 1 to the units term.
Find the axis of symmetry of the graph y=x^2+8x+16
Answers
Answer:
x = -4
Step-by-step explanation:
to find the axis of symmetry use this formula:
x = -b/2a
if this problem, a = 1, b = 8, c = 16
x = -8/2(1)
x = -4
investors buy a studio apartment for $240,000 . Of this amount, they have a down payment of 60,000. Their down payment is what percent of the purchase price? What percent of the purchase price would a $108,000 down payment be?
Answers
Answer:
25%
bc its 1/4 = 0.25 of the purchase price.
the other percentage is 45
108/240 = 54/120 = 18/40 = 4.5/10 = 45/100
write 6.58 centimeters in meters using E-notation.
Answers
Answer:
6.58 x 10 ^ -2
Step-by-step explanation:
that's 10 to the negative 2 power.
it creates a smaller number. moving decimal to left 2 places.
.0658 meters
HELP
Distinguish the difference between linear relationships, nonlinear relationships, and correlations.
Answers
Answer:
The graph of a linear equation forms a straight line, whereas the graph for a non-linear relationship is curved. ... A non-linear relationship reflects that each unit change in the x variable will not always bring about the same change in the y variable
Given the dilation rule DO,1/3 (x, y) → (one-third x, one-third y) and the image S'T'U'V', what are the coordinates of vertex V of the pre-image? (0, 0) (0, One-third) (0, 1) (0, 3)
Answers
Answer:
d
Step-by-step explanation:
on edge
Answer:
D
(0, 3)
Step-by-step explanation:
No files just type it in please I been stuck in this answer
Answers
Answer:
24
Step-by-step explanation:
ate 4 pounds 6 times because monday, tuesday, wednesday, thursday, friday, saturday.
therefore 4x6= 24
determine whether the relation represents a function
16.{(-3,2). (-2, 2), (1,2). (-3.1). (0.3}}
Answers
Answer:
No, it's not a function
Step-by-step explanation:
In a function each input has one and only one output
Here an input of -3 has two outputs 2 and 1
Need help
Pls explain
Answers
Given:
The graph of a line.
To find:
The equation of the line.
Solution:
From the given graph, it is clear that the line passes through the points (0,-2) and (-6,8). So, the equation of the line is:
[tex]y-y_1=\dfrac{y_2-y_1}{x_2-x_1}(x-x_1)[/tex]
[tex]y-(-2)=\dfrac{8-(-2)}{-6-0}(x-0)[/tex]
[tex]y+2=\dfrac{10}{-6}x[/tex]
[tex]y+2=-\dfrac{5}{3}x[/tex]
Subtract 2 from both sides.
[tex]y=-\dfrac{5}{3}x-2[/tex]
Therefore, the equation of the line is [tex]y=-\dfrac{5}{3}x-2[/tex].
Sorry
3. Ben wants to have his birthday party at the bowling alley with some
of his friends, but he can spend no more than $80. The bowling alley
charges a flat fee of $45 for a private party and $4.50 per person for
shoe rentals and unlimited bowling.
a. Write an inequality that represents the total cost of Ben's birthday
for p people given his budget. (10 pts)
Answers
charges for per person = $4.50
a flat fee of = $45
no.of people = p
So, 4.5p+ 45 ≤ 80AHHHH HELP PLEASE, IT’S URGENT!!!!! I DON’T HAVE MUCH TIME :((( 7th Grade!!!!
Answers
Answer:
A, P, M, S, W, Q
Step-by-step explanation:
Please help me will mark the brainliest
Answers
Answer:
The answer is A)9.89cm squared
Step-by-step explanation:
Split the shape into a triangle and a square. The square's area is 2.6 × 2.3 which equals 5.98. The triangle's area is 6-2.6=3.4, 3.4×2.3= 7.82. But since its a triangle, divide it by two. 7.82÷2=3.91. Now add both of the found areas to eachother, 3.91+5.98=9.98 cm squared. Hope that makes sense and helps!
On a coordinate plane, the x-axis is labeled side length and the y-axis is labeled Perimeter of the square. A line goes through points (0, 0), (1, 4), and (2, 8). Use the graph to complete the ordered pairs to show the relationship between two quantities: the length of a square’s sides and the square’s perimeter. (3, ) (4, ) The relationship between the length of a square’s side and its perimeter is .
Answers
What is the slope of the line?
(0,2) (4, -1)
Answers
help ...........................................
thanks,,,,
Answers
Answer:
(1,0) (0,-3)
Step-by-step explanation:
x then y a baby crawls before it walks.