Answer:
[tex]\sqrt{64\cdot \:9}[/tex]
[tex]=\sqrt{576}[/tex]
[tex]=\sqrt{24^2}[/tex]
[tex]=24[/tex]
Ulet rolls 2 fair dice and adds the results from each. Work out the probability of getting a total of 7.
Answer:
7/ 36
Step-by-step explanation:
Roll of 2 fair six sided die :
Sample space = 6² = 36
Sum of 7:
(1,6) ; (6,1) ; (3,4) ; (4,3) ; (2,5) ; (5,2) = 6
Probability = required outcome / Total possible outcomes
Required outcome = 7
Total possible outcomes = 36
P(obtaining a sum of 7) = 7 / 36
4(x+4)+2x=52 please help lol
Answer:
x=6
Step-by-step explanation:
Given: 4(x+4)+2x=52
Distribute.
4x + 16 + 2x = 52.
Simplify.
6x + 16 = 52.
Subtract 16 on both sides to isolate out the variable.
6x = 36
Divide.
x = 6
Answer:
x = 6
Step-by-step explanation:
first we distribute the 4 to the (x + 4) by multiplying 4 times each of those
4x + 16 + 2x = 52
Then, combine like terms:
6x + 16 = 52
then subtract 16 from both sides of your equation
6x = 36
then divide both sides by 6
x = 6
let me know if you have questions
A bag contains 3 red, 5 yellow, and 7 purple marbles. Find the probability of drawing a purple marble followed by a red marble. The first marble is put back in the bag between draws.
Answer:
unsimplified : [tex]\frac{21}{225} or simplified: \: \frac{7}{75}[/tex]
Step-by-step explanation:
Work out : Look above at image.
I'll give brainlist to the person that answers
Answer:
67.6
Step-by-step explanation:
area = 158/360 * 49 * pi = 67.56
what is the value of x if 85 + 19x
Answer:
we dont know what the equation equals yes im using this for free points im having a compition with my friend so ty im srry if i offended you
Step-by-step explanation:
What is the measure of angle x?
There are 7 students in cara art club . They need to share 2 rolls of clay equally . Cara wants to know how much clay she will get?
Answer:
2/7
Step-by-step explanation:
Trisha has $22.50 to spend at the movies. Her ticket is $11.50 , and she gets a large popcorn and soda . If the popcorn and soda each cost the same amount and she spends all her money, how much was the popcorn?
Answer:$5.50
Step-by-step explanation:
22.50 -11.50= 11
soda and popcorn (2 items)
11/2= 5.50
what does p equal please help me.
Answer: p < -3/5
Step-by-step explanation:
2p - 4 < -3p - 7
+3p +3p
------------------------
5p - 4 < -7
+4 +4
------------------------
5p < -3 (divide by 5)
p < -3/5
Find the percent of change from 90 to 12.
Answer:
86.6667% decrease
Step-by-step explanation:
need more help on this question
Answer: 79
Step-by-step explanation:
6 ÷ 3 + 9 x² - 4=79
what's the value of y ?
[tex]y = ( { - 2 })^{2} [/tex]
How can you determine the number of solutions of a system of linear equations by inspecting its equations?
Step-by-step explanation:
To find - How can you determine the number of solutions of a system
of linear equations by inspecting its equations?
Proof -
There exists three types of solution for a system of linear equations.
1. No solution.
2. Unique solution.
3. Infinite many solutions.
Now,
Let the 2 linear equations are as follows :
y = ax + b
y = cx + d
1. For no solution -
a = c and b ≠d
For example-
y = -2x + 5
y = -2x - 1
Subtract first equation from second , we get
y - y = -2x - 1 - ( -2x + 5)
⇒0 = -2x - 1 + 2x - 5
⇒0 = -6
Not possible
So, There exist no solution.
2. For unique solution -
a ≠ c and b , d can be any value
For example -
If b and d are same ,
y = 2x - 4
y = -3x - 4
Subtract equation 1st from 2nd , we get
y - y = -3x - 4 - ( 2x - 4)
⇒0 = -3x - 4 - 2x + 4
⇒0 = -5x
⇒x = 0
⇒y = 2(0) - 4 = -4
∴ we get
x = 0, y = -4
If b and d are different
y = 2x - 4
y = -3x + 5
Subtract equation 1st from second
y - y = -3x + 5 - 2x + 4
⇒0 = -5x + 9
⇒-5x = -9
⇒x = [tex]\frac{9}{5}[/tex]
⇒y =2([tex]\frac{9}{5}[/tex]) - 4 = [tex]\frac{18}{5} - 4 = \frac{18 - 20}{5} = -\frac{2}{5}[/tex]
∴ we get
x = [tex]\frac{9}{5}[/tex] , y = [tex]-\frac{2}{5}[/tex]
3. Infinitely many solution -
a = c and b = d
For example -
y = -4x + 1
y = -4x + 1
Subtract equation first from equation second
y - y = -4x + 1 - ( -4x + 1)
⇒0 = -4x + 1 + 4x - 1
⇒0 = 0
Satisfied
So, Infinite many solution possible.
You rent an apartment that costs
$
1000
$1000 per month during the first year, but the rent is set to go up
$
160
$160 per year. What would be the monthly rent during the 10th year of living in the apartment?
Answer:
$2440
Step-by-step explanation:
a10 = a1 + (n-1)d <--- arithmetic sequence formula
a10 = 1000 + 9(160)
a10 = 2440
What is the diameter of a circle that has a radius of 5.2 yards?
** Do not put yards
Answer:
6.4
Step-by-step explanation:
will mark brainliest and rate 5/5
Answer:
its c
Step-by-step explanation:
because i multuply
Answer:
320 cubic centimeters
Step-by-step explanation:
Multiply.
--
20 x 4 x 4 = 320
--
Finding Volume
Length x Width x Height = Volume
--
1. If you multiply 6 by 1/4 will your answer be greater or less than 6. How do you know?
Answer:
less than 6
Step-by-step explanation:
when you multiply a number by a fraction less than 1 you are calculating a portion of that number so you get a result smaller.
Bearings Problem Solving Question:
From a lighthouse two boats can be sighted. Boat 1 on a bearing of 60° at a distance of 2km and Boat 2 on a bearing of 340° at a distance of 3km.
a) If Boat 1 is in need of assistance, what bearing would Boat 2 need to travel on to reach it?
b) Assuming Boat 1 does not move, how far would Boat 2 have to travel?
9514 1404 393
Answer:
a) 123.4°
b) 3.3 km
Step-by-step explanation:
In (N, E) coordinates, Boat 1 is located relative to the lighthouse at ...
2(cos(60°), sin(60°)) = (1.0, 1.732) . . . . . km
Boat 2 is located at ...
3(cost(340°), sin(340°)) = (2.819, -1.026) . . . . . km
So, relative to Boat 2, Boat 1 is located at ...
(1, 1.732) -(2.819, -1.026) = (-1.819, 2.758) . . . . . km
This is at a bearing of ...
arctan(2.758/-1.819) = 123.4°
and a distance of ...
√(1.819² +2.758²) ≈ 3.304 . . . . . km
a) Boat 2 would need to travel on a bearing of 123.4°.
b) Boat 2 would need to travel 3.3 km.
_____
Additional comment
We use (North, East) coordinates so we don't have to do the mental gyrations necessary to translate to and from (E, N) coordinates. The latter would correctly orient a map relative to the X-Y Cartesian plane. The former are equivalent to flipping the map over and looking at it from the back side. This is a "rigid transformation", so angles and distances remain unchanged.
please help with maths work
Given:
In a right angle triangle ABC, [tex]\angle B=90^\circ,x=8.7\ m[/tex], and [tex]\theta = 45^\circ[/tex]
To find:
The value of AC.
Solution:
In a right angle triangle,
[tex]\cos \theta =\dfrac{Adjacent}{Hypotenuse}[/tex]
[tex]\cos \theta =\dfrac{BC}{AC}[/tex]
[tex]\cos (45^\circ) =\dfrac{8.7}{AC}[/tex]
[tex]\dfrac{1}{\sqrt{2}}=\dfrac{8.7}{AC}[/tex]
On cross multiplication, we get
[tex]AC=8.7\times \sqrt{2}[/tex]
[tex]AC=12.30365799[/tex]
[tex]AC\approx 12.304[/tex]
Therefore, the measure of AC is 12.304 m.
The table below lists some of the characteristics of the houses on Katrina’s street.
Characteristics of Homes For Sale on Katrina’s Street
Bedrooms
Acres of land
Sale price
Appraised value
Property tax
2
0.17
$230,000
$200,000
$1,220
2
0.20
$210,000
$220,000
$1,232
3
0.20
$275,000
$250,000
$1,400
4
0.24
$275,000
$275,000
$1,540
4
0.52
$360,000
$310,000
$1,736
4
0.75
$350,000
$320,000
$1,792
5
1.23
$375,000
$350,000
$1,960
Which relationship describes a function?
(bedrooms, sale price)
(acres of land, appraised value)
(sale price, bedrooms)
(appraised value, property tax)
Answer:
the answer is actually D
Step-by-step explanation:
this is for the the perso above .......
its ashamed what u do for points there r ppl out there that rlly need help :)
Answer:
D) got it on edge
Step-by-step explanation:
What is the Pythagorean Theorem used for right triangles
Answer:
The Pythagorean theorem consists of a formula a^2+b^2=c^2 which is used to figure out the value of (mostly) the hypotenuse in a right triangle. The a and b are the 2 "non-hypotenuse" sides of the triangle (Opposite and Adjacent).
Answer:
Step-by-step explanation:
Used t find missing side angles when two sides are present. For example, if you have a short leg and a long leg, you can use the Pythagorean Theorem to find the hypotaneus and vse versa, using it to find the short or long leg if the other two are given.
Laura scored a nine, eight, ten, and seven on her first four math tests. Assuming that the perfect score is ten, what score must she get on her fifth test to have total of at least 42 points?
6x + 8y + 6 ; x = 2 , y = 6
Answer:
66
Step-by-step explanation:
6x + 8y + 6
x=2
y=6
Replace the letters with the numbers:
6(2) + 8(6) +6
= 12 +48 + 6
= 66
Store A sold 330 boxes of candy.Store B sold 14% more boxes than store A.What's the total number of boxes that Store B sold?
Answer:
376
Step-by-step explanation:
pls help been waiitng for 2 hours now..
Answer:
(5,3)
Step-by-step explanation:
you would move 3 to the right and 2 down
How many tonnes is 1555kg
1.555 tonnes I think
what is 2 ½ divided by ⅘
Answer:
Step-by-step explanation:
2.5(2 1/2) / 0.8(4/5)
= 3.125Hope this helped!!
Please help its due in a hour
Answer:
good luck
Step-by-step explanation:
Write in point-slope form an equation of the line that passes through the point (9, 8) with slope -6 .
Answer:
y= -6x+62
Step-by-step explanation:
y-y1=m(x-x1)
y-8=-6(x-9)
y-8=-6x+54
+8 +8
y= -6x+62
what is the surface area? PLEASE HELP WILL MARK BRAINLY
Answer:
Hiya!
Are there any answers I can choose from?
Thank you muchly,
Pandora
Step-by-step explanation: