Given:
Ty’s house is located ( 7,8) and the library is located ( 7,-6).
Each unit on the coordinate plane represents 1 block.
To find:
The number of blocks from Ty’s house to the library.
Solution:
Distance formula:
[tex]D=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]
We need to find the distance between the two points ( 7,8) and ( 7,-6).
Using the distance formula, we get
[tex]D=\sqrt{(7-7)^2+(-6-8)^2}[/tex]
[tex]D=\sqrt{(0)^2+(-14)^2}[/tex]
[tex]D=\sqrt{196}[/tex]
[tex]D=14[/tex]
The distance between the two points ( 7,8) and ( 7,-6) is 14 units.
We know that, each unit on the coordinate plane represents 1 block.
Therefore, there are 14 blocks from Ty’s house to the library.
In a local car lot, 1/6
of the cars have standard transmissions. Find the
probability that 3 of 4 randomly-selected cars have standard transmissions.
Answer: [tex]\dfrac{5}{324}[/tex]
Step-by-step explanation:
Given
Probability that car has a standard transmission is [tex]\frac{1}{6}[/tex]
So, the probability that the car does not have transmission is
[tex]1-\dfrac{1}{6}=\dfrac{5}{6}[/tex]
Probability of that 3 out of 4 randomly selected cars have standard transmissions is given by selecting 3 cars with standard deviation and then multiply by their respective probabilities
[tex]\Rightarrow P=^4C_3\cdot \left(\dfrac{1}{6}\right)^3\cdot \left(\dfrac{5}{6}\right)\\\\\Rightarrow P=4\times\dfrac{5}{6^4}\\\\\Rightarrow P=\dfrac{20}{1296}\\\\\Rightarrow P=\dfrac{5}{324}[/tex]
5(2x-1) expanded
Please help
Answer:
the answer would be 10x-5
Step-by-step explanation:
Because u multiply the 5 by each number within the parentheses.
Please help me answer this
Answer:
area of the square=12×12
=144 cm²
area of the circle (radius=12/2=6 cm
πr²
3.142×6²
=113.112 cm²
area of the square-area of the circle
144. -113.112
30.888 cm²
Area of the shaded region=30.888/4
=7.722 cm²
Find the sum of the first 10 terms for the following sequence: a = {-1, 2, 5, ... }
Answer:
see, to find the next number, you need to add three to the last one
for example, the 3 was added to 2, so we have five here
5+3=8
8+3=11
and ....
so the next ten numbers are:
8, 11, 14, 17,20,23,26,29,32,35
I'm sorry, my mother tongue isn't English so please accept my apology if I haven't been able to explain it clearly, it's a pretty easy math problem so I think you got it
Answer:
it's +3 each time
Step-by-step explanation:
the formula for the nth term of an arithmetic progression is
[tex]a _{n} = d \times n + a _{1} - d[/tex]
PLEASE PLEASE HELP, AND SHOW WORK. IM LATE ON THIS
Answer:
D is the answer
Step-by-step explanation:
Help please I NEED TO PASS :(((((
Answer:
The answer should be C
Step-by-step explanation:
I just got done calculating it and according to my calculations it should be C
type the correct answer in each box. if necessary, use / for the fraction bar(s). If a = 0.6 and b = 0.75, then a•b = ____ and a/b = _____
Answer:
If a=0.6 and b=0.75, then a·b=9/20 and a/b=4/5
Step-by-step explanation:
The value of a•b =0.045 and a/b = 8
What is fraction?A number expressed as a quotient, in which a numerator is divided by a denominator
given: a=0.6, b= 0.075
Now, a*b= 0.6*0.075
= 0.045
and, a/b
= 0.6/0.075
=8
Hence, a*b= 0.045 and a/b =8
Learn more about fraction here:
https://brainly.com/question/10354322
#SPJ2
If Jaliya has 5 paintings and paints 6 more how much does she have now?
Answer:
11
Step-by-step explanation:
5+6
cuantos kilometros tiene tokyo
Answer:
90 km
Step-by-step explanation:
What is missing from the graph?
HELP I WILL GIVE BRAINIEST
Answer:
I think the title is missing from the graph
Answer:
Y-intercept maybe? since the given function doesn't have a point where x = 0
Or it could also be the x and y-axis are not labeled
I'm so sorry if this is wrong but i hope this helps!
if i dont get this answer done by 7:30 my moms gonna b e mad at me, please help me and also please no files i dont understand them =_=
Answer:
gotchu.
c = 36
Step-by-step explanation:
First add five to each side.
c/4 = 9
then you multiply by four:
c=36
Tom is building a pool. He plans to dig a hole 20 feet wide and 50 feet long. He wants the pool to hold 7500 cubic feet of water. How deep must he dig the hole?
Answer: 7.5 feet
Step-by-step explanation:
.
Do any of you know any written answers to the Probability Unit Test for 7th grade? I need a little help!
All tests across the world are different even if they're the same subject and stuff. I think it's easier for you to study, so if you have any questions about them please post them on Brainly!
Can someone please help me with math.
Answer:
4: No
5: A
Step-by-step explanation:
4: The mapping does now represent a function. In a function each x value can only have 1 corresponding y value ( meaning that the x values can not repeat.) In the mapping the x value 3 corresponds with 2 y values therefore the mapping is not a function.
5.
Formula for volume of a cylinder = [tex]V=\pi r^2h[/tex]
Where r = radius and h = height
The cylinder shown has a given diameter of 22ft and a given height of 10ft
In order to use the formula we must convert the diameter to radius.
To do this we divide the diameter by 2 ( this is because the radius is equal to half the diameter )
so radius = 22/2 = 11
Now we plug in the dimensions into the formula
[tex]V=\pi 11^210\\11^2=121\\121*10=1210\\1210\pi[/tex]
Remember, it says " Leave your answer in terms of pi," therefore we do not apply pi and leave it as 1210π
We can conclude that the answer is A
how can I do this ???
Answer:
The triangle EFG can be constructed with the following specifications: [tex]EF = 8\,cm[/tex], [tex]FG = 7\,cm[/tex], [tex]EG = 12\,cm[/tex], [tex]E \approx 34.093^{\circ}[/tex], [tex]F \approx 106.068^{\circ}[/tex], [tex]G \approx 39.838^{\circ}[/tex].
Step-by-step explanation:
A triangle is formed by either knowing the lengths of its three sides or knowing two angles and the length of a side or knowing a angle and the lengths of two sides. By Geometry, we know that sum of internal angles in triangles equals 180°. In order to construct this triangle, we need to know the measures of angles E, F and G by means of the Law of Cosine:
Angle E
[tex]E = \cos^{-1}\left[\frac{(7\,cm)^{2}-(12\,cm)^{2}-(8\,cm)^{2}}{-2\cdot (12\,cm)\cdot (8\,cm)} \right][/tex]
[tex]E \approx 34.093^{\circ}[/tex]
Angle F
[tex]F = \cos^{-1}\left[\frac{(12\,cm)^{2} - (8\,cm)^{2} - (7\,cm)^{2}}{-2\cdot (8\,cm)\cdot (7\,cm)} \right][/tex]
[tex]F \approx 106.068^{\circ}[/tex]
Angle G
[tex]G = \cos^{-1}\left[\frac{(8\,cm)^{2}-(12\,cm)^{2}-(7\,cm)^{2}}{-2\cdot (12\,cm)\cdot (7\,cm)} \right][/tex]
[tex]G \approx 39.838^{\circ}[/tex]
The triangle EFG can be constructed with the following specifications: [tex]EF = 8\,cm[/tex], [tex]FG = 7\,cm[/tex], [tex]EG = 12\,cm[/tex], [tex]E \approx 34.093^{\circ}[/tex], [tex]F \approx 106.068^{\circ}[/tex], [tex]G \approx 39.838^{\circ}[/tex].
Find the value of x.l
Answer:
The value of x is 28°
Step-by-step explanation:
2x + 1 and 33° together forms 90° angle.
So, we need to find the angle at the 2x + 1.
--> 90° - 33°
= 57°
So, 2x + 1 gives 57°.
So, to find x :-
2x + 1 = 57°
2x = 57 - 1
2x = 56
x = [tex]\frac{56}{2}[/tex]
x = 28
Simplifique a expressão: 5 √2^3
Answer:
10√2
Step-by-step explanation:
5√2³ = 5√8 = 5√(2 x 4) = (2 x 5)√2 = 10√2
If A is the reference angle, which side is the opposite?
AB
BC
AC
Explain your thinking.
Answer:
BC
Step-by-step explanation:
it would be BC because you are basically taking the angle and drawing an arrow to the opposite side. another trick would be choosing an answer choice without the letter in it. also you didn't put what shape so I assumed it was a triangle
please help me ill mark brainlest
Answer:
C
Step-by-step explanation:
is 8 yard, 9 yards, and 12 yards right triangle
Answer:
No
Step-by-step explanation:
you can check with the pythagorean theory
[tex]8^{2}+9^{2} =12^{2}[/tex]
64 + 81 = 144
145 = 144
this is not true, therefore those side lengths do not make a right triangle.
How do you write 9,600 in scientific notation?
plz only have a few minutes!!
Answer:
9.6 x 10^3 thats the answer...............................................................
HeLP me ASAP PLEASE ASAP i will give 50 points for the right answer
please help me ill give you the crown thing if its right no joke
Answer: Third option
Step-by-step explanation:
The amount in each of the 3 busses (g) is fixed and equal, so 200+3g represents that
Can anyone give me an answer to this? Help is serverly needed...
Use the diagram to answer the question.
35.6 m
23.4 m
15.2 m
23.4 m
What is the area of the triangle?
OA. 82.40 m²
B. 97 60 m2
Answer:
B97.60
Step-by-step explanation:
I got b bc if u add all the number up u get that answer.
Simplify:
8x4 – 3x – 7 = [?]
x=-1
Answer:
4
Step-by-step explanation:
8×(-1)⁴-3×(-1)-7=8+3-7=4
Answer:
4
Step-by-step explanation:
Substitute x = - 1 into the expression
8[tex](-1)^{4}[/tex] - 3(- 1) - 7
= 8(1) + 3 - 7
= 8 + 3 - 7
= 11 - 7
= 4
Drew received a bonus check for $2500 and he's going to deposit the money into a bank account there is is 5.5% simple interest amount of interest earned each year is how much
Answer:
$137.50
Step-by-step explanation:
Simples interest = amount deposited x time x interest rate
2500 x 0.055 x 1 = 137.50
Answer:m
Step-by-step explanation:
Given that the student chosen was a female, find the probability that the student chose invisibility as their superpower. P\left( \text{invisibility }| \text{ female} \right)=P(invisibility ∣ female
Answer:
[tex]P(Invisibility | Female) = \frac{2}{3}[/tex]
Step-by-step explanation:
Given
See attachment for two-way table
Required
Determine [tex]P(Invisibility | Female)[/tex]
This is calculated using the following formula for conditional probability:
[tex]P(Invisibility | Female) = \frac{n(Invisibility \& Female)}{n(Female)}[/tex]
From the attached table
[tex]n(Invisibility \& Female) = 32[/tex]
[tex]n(Female) = 48[/tex]
So, the equation becomes:
[tex]P(Invisibility | Female) = \frac{32}{48}[/tex]
Simplify
[tex]P(Invisibility | Female) = \frac{32/16}{48/16}[/tex]
[tex]P(Invisibility | Female) = \frac{2}{3}[/tex]
In the above figure, m∠A = 22° and m∠B = (2x + 16)°. If angles A and B are complementary angles, what are the value of x and the measure of angle B?
A.
x = 26, m∠B = 68°
B.
x = 71, m∠B = 158°
C.
x = 48, m∠B = 68°
D.
x = 26, m∠B = 52°
Answer:
A.
Step-by-step explanation:
22+(2x + 16)+90=180
combine like terms: 90+22+16=128
180-128=52
52=2x
52/2 = 2x/2
26 = x
(2*26+16) - angle B
What is the average rate of change of f(x)=x2+x−6 between x=1 and x=3 ?
A
5
B
–5
C
15
D
10
Answer:
10
Step-by-step explanation:
Substitute 1 in place of x and the result is -4.
Again substitute 3 in place of x and the result is 6.
Change=6-(-4)=10