Answer:
15 miles
Step-by-step explanation:
The Pythagorean theorem states that [tex]a^2+b^2=c^2[/tex] where a and b are the two legs (the sides of the triangle that are adjacent to the right angle) and c is the hypotenuse (the longest side). This only applies to right triangles.
Plug 12 mi and 9 mi into [tex]a^2+b^2=c^2[/tex] as a and b.
[tex]a^2+b^2=c^2\\12^2+9^2=c^2\\144+81=c^2\\225=c^2[/tex]
Take the square root of both sides
[tex]15=c[/tex]
Therefore, the length of the hypotenuse is 15 miles.
I hope this helps!
Look at the photo! Please help
i need help fast, thank you!!!
Answer:
D
Step-by-step explanation:
30 multiplied by 1.34 is 40.2
find the area enclosed by the figure. Use 3.14 for π. (The figure is not to scale).
Answer:
97.27 yd²
Step-by-step explanation:
First let's find the area of the right triangle on the left side. To do that, multiply 6x5, then divide the product by 2, since a right triangle is half a rectangle.
6x5=30
30/2=15
Area of triangle=15 yd²
Find area of the middle rectangle. So multiply the length by the width.
9x6=54
Area of rectangle=54 yd²
Find area of the half circle. Formula for area of circle is [tex]A=\pi r^{2}[/tex]. Pi is about 3.14, and radius ([tex]r[/tex]) is 3. Radius is half of the diameter of circle, and the 6 on the left says the diameter of circle.
[tex]\pi[/tex]x[tex]3^{2}[/tex]≈28.27
Area of circle is about 28.27 yd²
Add up the three areas.
15+54+28.27=97.27
you roll one die and a spinner as shown below. what is the probability you roll and spin a 4?
Answer:
1/4
Step-by-step explanation:
Anyone know how to do the chart
Answer:
Step-by-step explanation:
divide 12 or 15
Inscribed Angles B
Find each measure.
K
X=
6x
M
L
Answer:
x = 15
z = 25
Step-by-step explanation:
In [tex] \odot\: O, \: \angle MLK [/tex] is inscribed in a semicircle.
[tex] \therefore m\angle MLK =90\degree [/tex]
[tex] \therefore 6x\degree =90\degree [/tex]
[tex] \therefore 6x =90[/tex]
[tex] \therefore x =\frac{90}{6}[/tex]
[tex] \therefore x =15[/tex]
In [tex] \odot\: A, \: \angle PRQ[/tex] is inscribed in a semicircle.
[tex] \therefore m\angle PRQ =90\degree [/tex]
[tex] \therefore (4z-10)\degree =90\degree [/tex]
[tex] \therefore 4z-10 =90[/tex]
[tex] \therefore 4z =100[/tex]
[tex] \therefore z =\frac{100}{4}[/tex]
[tex] \therefore z =25[/tex]
Solve for x and y:
Ty– 5x = 45
x = 8 - 2y
O x = 5, y = 10
O x = 5, y = -2
x = -2, y = 5
O x = 4, y = 2
Answer:
x = -2
y = 5
Step-by-step explanation:
7y - 5x = 45 -------------------(I)
x = 8 - 2y -----------------------(II)
Substitute x = 8 - 2y in equation (II)
7y - 5(8-2y) = 45
7y + 8 *(-5) - 2y*(-5) = 45
7y - 40 + 10y = 45
17y - 40 = 45
17y = 45 + 40
17y = 85
y = 85/17
y = 5
Plugin y = 5 in equation (II)
x = 8 - 2*5
x = 8 - 10
x = -2
It cost 5.50 for parking, plus an additional $8 for each concert ticket purchased. If joe starts off with a 50 dollar bill and buys 3 concert tickets and a 10$ T-shirt, how much money will he have left? PLEASE HELP
Answer:
$10.50
Step-by-step explanation:
50-[5.50+8(3)+10] =
50-39.50=
10.50
Answer:
$6.00
first multiply eight and three then add the two things joe bougth. then the answer minus 50
help please thanks plsss
Answer:
A
area = 256 inches²
side = √256 = 16 inches
B
0.0063 inch = 6.3 × 10^-3
Peter buried a treasure chest on a remote island and is.making a map so he can find it later. One of the key landmarks in the area is a small rectangle hut, 5m by 8m
help pls pls pls シ
And thanks!
Answer:
the answer the 10.25 u move both decimals over and move it up to the top and divide like normal
The average weekly salary of two employees is $5250. One makes $500 more than the other. Find their salaries.
Answer: thier salaries are $5000 and $5500
Step-by-step explanation:
Let the average weekly salary of one employee be =x
And that of the other employee be = x+500
Such that if thier average of their salaries= $5250
So, their total salary= $5250 x 2=10,500
The equation to solve each employee salary becomes
x+x+500=10,500
2x+500=10,500
2x=10,500-500
2x=10,000
x=10,000 /2
x= first employee salary =$5000
second employee = x+500 =$5500
(Photo is part one)Malik also adds the following ingredients. How many cups of each
did he add? Show each step of your solution.
• 28 tablespoons of sugar
• 6 tablespoons of cocoa powder
Answer:
Step-by-step explanation:
what are we looking for?/
Please help I’ll mark you as brainliest if correct
Answer:
I think it is 75
Step-by-step explanation:
because you divide 45 by 3 to get 15 then 15 x 5 is 75:)
Which is a function?
O {(-3,5), (1,4), (3,7), (1,7), (4,9)}
O {(7.9), (13,-2), (8,4), (7,0), (4,12)}
O {(2,1), (-1,7), (6,-2), (10,3), (-6,0)}
O {(-2,4), (7,4), (-6,8), (-2,8), (1,1)
50000000000000000000000000000000000000000000
Answer:
{(7.9), (13,-2), (8,4), (7,0), (4,12)} is a function
Step-by-step explanation:
Fill in the boxes to make a true statement. (_-3i)-(15+_i)=7-12i
Answer:
blank space=[tex]\frac{31}{2}[/tex]+[tex]\frac{13i}{2}[/tex]
The empty boxes which make the equation true are (22 -3i) - (15 + 9i)
= 7 - 12i.
What are complex numbers?As the name suggests it is a combination of real numbers and imaginary numbers.
A complex number (a + ib) where a is the real part and b is the imaginary part.
'i' here is called iota and i = √-1, i² = - 1, i³ = - i and i⁴ = 1.
Given, (_ -3i) - (15+_i) = 7 - 12i.
Assuming the real number to be 'a' and the imaginary number to be 'b'.
∴ (a - 3i) - (15 + bi) = 7 - 12i.
a - 3i - 15 - bi = 7 - 12i.
On comparing the real and imaginary parts we get,
a - 15 = 7.
a = 22,
- 3i - bi = - 12i.
- bi = - 9i.
b = 9.
learn more about complex numbers here :
https://brainly.com/question/10251853
#SPJ2
Write 3 ratios equivalent to 2/5
Answer:
4/10, 6/15, 8/20
Step-by-step explanation:
What’s the answer to this question ?
Step-by-step explanation:
112=35+d
112-35=d
d=77
hope it helps u
Which Angle measurements create a Triangle?
A 60,60,61
B 100,50,50
C 90,45,45
D 90,90,80
The ratio of the diameters of two similar cylinders is 4/5 What is the ratio of their surface areas? of their volumes?
Answer:
yo
Step-by-step explanation:
jy
Try to answer this question for me pleaseee
Answer:
H
Step-by-step explanation:
180-48=132
Find the distance between the pair of points (3, 5) and (-3, 8)
Answer: 3
Step-by-step explanation:
Two students were asked if they liked to read. Is this a good example of a
Yes, this is a good statistical question because a variety of answers
Yes, this is a good statistical question because there are not a varie
No, this is not a good statistical question because there are not a
No, this is not a good statistical question because there are a van
Answer:
C. No, this is not a good statistical question because there are not a.
Step-by-step explanation:
Because you need a big amount of people to ask for it to be a A good statistical question.Your welcome! Please mark brainliest!
(Or please correct me if I'm wrong)
Explain what median is and how to solve for it
Answer: See below
Step-by-step explanation:
Median is the value that separates the higher data and lower data. In simple terms, it is the "middle" value of the whole set of data. There are two different ways to solve for the median.
1. If the data set has an odd number of values, line the values up in increasing order. Then the value or number that lies in the middle will be the median.
For example, if we are given a data set {1, 3, 4, 2, 5}. First, we line them up by increasing order, which becomes {1, 2, 3, 4, 5}. Since it is an odd number set, we can directly get the median which is 3.2. If the data set has an even number of values, line the values up in increasing order. Then there will be two number that lies in the "middle" together. We add them up and divide them by 2. The average of the two numbers will be the median of the set.
For example, if we are given a data set {2, 6, 4, 10, 8, 12}. First, we line them up by increasing order, which becomes {2, 4, 6, 8, 10, 12}. Since it is an even number set, we get our median from the two numbers in the middle, which are {6, 8}. We add them together to get 14 and then divide by 2 which is 7. So the median will be 7.Hope this helps!! :)
Please let me know if you have any questions.
Evaluate the indicated limit algebraically. Change the form of the function where necessary. Please write clearly with description of each step, thank you very much.
3x^2+4.5
________
x^2-1.5
lim
x → ∞
Answer:
[tex]\displaystyle \lim_{x\to \infty}\frac{3x^2+4.5}{x^2-1.5}=3[/tex]
Step-by-step explanation:
We want to evaluate the limit:
[tex]\displaystyle \lim_{x\to \infty}\frac{3x^2+4.5}{x^2-1.5}[/tex]
To do so, we can divide everything by x². So:
[tex]=\displaystyle \lim_{x\to \infty}\frac{3+4.5/x^2}{1-1.5/x^2}[/tex]
Now, we can apply direct substitution:
[tex]\Rightarrow \displaystyle \frac{3+4.5/(\infty)^2}{1-1.5/(\infty)^2}[/tex]
Any constant value over infinity tends towards 0. Therefore:
[tex]\displaystyle =\frac{3+0}{1+0}=\frac{3}{1}=3[/tex]
Hence:
[tex]\displaystyle \lim_{x\to \infty}\frac{3x^2+4.5}{x^2-1.5}=3[/tex]
Alternatively, we can simply consider the biggest term of the numerator and the denominator. The term with the strongest influence in the numerator is 3x², and in the denominator it is x². So:
[tex]\displaystyle \Rightarrow \lim_{x\to\infty}\frac{3x^2}{x^2}[/tex]
Simplify:
[tex]\displaystyle =\lim_{x\to\infty}3=3[/tex]
The limit of a constant is simply the constant.
We acquire the same answer.
A basketball league assigns 8 players to each team. How many players can sign up for the league if there are 24 teams?
Answer:
192
Step-by-step explanation:
If there are 8 players on a team, and a total of 24 teams, you will need to multiply 8 x 24 to find the answer.
8 x 24 = 192 players can sign up for the league.
(hope this helps can i plz have brainlist :D hehe)
Answer:
192 players
Step-by-step explanation:
8x24=192
8 is the 8 players per team, since there are 24 teams available, multiply 8 by 24.
Which is a function?
O {(-3,5), (1,4), (3,7), (1,7),(4,9)}
O {(7,9), (13,-2), (8,4), (7,0), (4,12)}
O {(2,1),(-1,7), (6,-2), (10,3), (-6,0)}
O {(-2,4), (7,4), (-6,8), (-2,8), (1,1)
PLEASE HELP !!!! ILL GIVE BRAINLIEST !!!
pls help im so confused find m
Answer:
i think it is 47
Step-by-step explanation:
The box fill weight of Frosted Flakes breakfast cereal follows a normal distribution with a mean of 9.75 ounces and a standard deviation of 0.27 ounces. A sample of 25 boxes filled this morning showed a mean of 9.85 ounces. At the 0.05 significance level, can we conclude that the mean weight is more than 9.75 ounces per box
Answer:
Since the calculated value of z= 0.0185 does not lie in the critical region we conclude that the mean weight is less and equal to 9.75 ounces per box and accept the null hypothesis.
Step-by-step explanation:
Let the null and alternate hypothesis be
H0: u ≤ 9.75 against the claim Ha: u > 9.75
Here
Population mean= u= 9.75
Standard deviation= 0.27 ounces
Sample mean= x`= 9.85
Significance level [tex]\alpha[/tex]= 0.05
Using z- test
z= x`-u/s/√n
z= 9.85-9.75/0.27/√25
z= 0.1/5.4
z= 0.0185
The critical region for 1 tailed test at 0.05= z > ±1.645
Since the calculated value of z= 0.0185 does not lie in the critical region we conclude that the mean weight is less and equal to 9.75 ounces per box and accept the null hypothesis.