The length of a rectangular painting is 3 inches longer than its width. If the diagonal is 15 inches long, what is the length of the painting?
A 9 inches
В. 12 inches
C. 13 inches
D. 18 inches
Answer:
Step-by-step explanation:
An experiment consists of ranomly drawing three cards in succession without replacement from a standard deck of 52 cards. Let A be the event of a king on the first draw, B the event of a king on the second draw, and C the even of a king on the third draw. Describe each of the events listed below and calculate its probability.
a. A ∩ B
b. A U B
c. A ∩ B ∩ C
d. A U B U C
Answer:
0.0045248 ;
0.1312218 ;
0.0001809 ;
0.1659729
Step-by-step explanation:
Number of Kings in deck = 4
Total number of cards in deck = 52
Picking without replacement :
A = King on first draw :
P(A) = 4 / 52
A = King on 2nd draw :
P(B) = 3 / 51
A = King on 3rd draw :
P(C) = 2 / 50
1.) P(A n B) = P(A) * P(B)
P(A n B) = 4/52 * 3/51 = 12 / 2652 = 0.0045248
2.) P(A u B) = P(A) + P(B) - P(AnB)
P(AuB) = 4/52 + 3/51 - 0.0045248 = 0.1312218
3.) P(A ∩ B ∩ C) = P(A) * P(B) * P(C)
P(A ∩ B ∩ C) = 4/52 * 3/51 * 2/50 = 0.0001809
4.) P(A U B U C) =
P(A) + P(B) + P(C) - P(AnB) - P(AnC) - P(BnC) - P(AnBnC)
P(AnC) = P(A) * P(C) = 4/52 * 2/50 = 0.0030769
P(BnC) = P(B) * P(C) = 3/51 * 2/50 = 0.0023529
4/52 + 3/51 + 2/50 - 0.0045248 - 0.0030769 - 0.0023529 + 0.0001809 = 0.1659729
help me like right now plzzzzzzzzzzz
Answer:The answer is 8
Step-by-step explanation:
solve the equation (0°≤A≤360°)
a) √3sinA-cosA=√2
Step-by-step explanation:
√3sinA-cosA=√2
dividing both side by (√3²-1²=2 we get)
√3/2 sinA-1/2.cos A=√2/2
cos 30sinA-sin30cosA=√2/(√2×√2)
sinAcos30-cosAsin30=1/√2
sin(A-30)=sin45,sin(180-45)
therefore
A-30=45,135
A=45+30=75 or A=135+30=165
What are the 4 main types of transformations?
translation
congruence
rotation
reaction
reflection
dilation (aka enlargement)
vertices
Answer:
The 4 main transformation is a translation, rotation, reflection, dilation.
Step-by-step explanation:
There are four main types of transformations: translation, rotation, reflection, and dilation. These transformations fall into two categories: rigid transformations that do not change the shape or size of the preimage and non-rigid transformations that change the size but not the shape of the preimage.
The sum of 3 consecutive even interfere is 258. What is the smallest number
Answer:
85 is the smallest number
Which of these could be the value of x in the triangle below
Answer:
5
Step-by-step explanation:
An isosceles right triangle has a hypotenuse that measures 32 inches. To the nearest inch,
what is the measure of each leg of the triangle?
Answer:
28 inch or 27.7 inch
other side is 16 inch
Step-by-step explanation:
We double the triangle and find each hypotenuse for two triangles to determine base as equilateral
32^2 = base
To find height we half base and multiply by slant = 32 inches
32/2 = 16 inch
Height = 32^2 - 16^2 = a^2 = sq rt 1024 - sqrt 256 = sq rt 768
a^2 = sq rt 768 = 27.7128129 = 28 inch or 27.7 inch
What value of x will make the equation below true?
5x=3x+8
Answer:
x = 4
Step-by-step explanation:
Isolate the variable by dividing each side by factors that don't contain the variable.
~Hoped this helped~
I NEED HELP!!!... WHATS THE ANWSER FOR THIS??
Solve the formula
x − y = −8 for y.
Answer:
[tex]y = x + 8[/tex]
Step-by-step explanation:
[tex]x - y = - 8[/tex]
[tex]x + 8 = y[/tex]
00:00 At the beginning of the month, Kimberly had $65.78. Since then, she has received three payments of $32.50 from her babysitting job. Kimberly's 2 sisters each helped her babysit once during the month, so Kimberly paid them each $8.75. If Kimberly did not spend any money, how much money does she have now? Enter your answer in the box.
How many grams are in 1 pound (on Earth)? Round to the nearest tenth.
Answer:
453.6, or 453.59237
Step-by-step explanation:
Answer:
28.35 grams is equivilent to 1/16 lb., which is 1 oz. So, 28.35 x 16= 453.6
Step-by-step explanation:
First you must convert ounces to grams
Then, you must convert the ounces to pounds
You do this by knowing that 1 oz is 1/16 of a lb
Knowing that 28.35 grams are in 1 oz
You then multiply the 28.35 grams by the 16 oz
Which gives you 453.6 0r 453.60 grams in 1 lb
What is (3m + 2) + (5x+8)=
Answer:
5x + 3m + 10
Step-by-step explanation:
Remove parentheses:
3m+2+5x+8
Group like terms:
5x + 3m + 2 + 8
Add the numbers 2 + 8=10:
5x + 3m+ 10
Answer:
3m+10+5x
Step-by-step explanation:
look at it without parenthesis might make it easier
3m+2+5x+8
Jen sells flowers. She charges $2 per flower plug a $3 flat delivery fee. What is a linear equation that can represent the cost of buying x amount of flowers and includes the one time delivery charge? ( Y = mx + b )
Answer:
y=2x+3
Step-by-step explanation:
the 2 is the coefficient so everytime you add a new flower the amount will go up by 2 dollars and the $3 delivery fee is a one time fee so you only add it one time.
Which equation represents : the difference between mZCOA and mAOB in this diagram?
43°
O
Select ALL that apply
180 43
137 13
18043
180 43
Previous
Calculate the volume of the cone: 10 yd 3 yd
round to nearest tenth
Step-by-step explanation:
=23.6
[tex]v = \pi {r}^{2} \frac{h}{3} = \pi {1.5}^{2} \frac{10}{3} = 23.56 \: {yd}^{3} [/tex]
Find the length of x.
a. 33.8
b. 48.3
c. 84.3
d. 72.0
S. (4 - 2x)(4 + 2x)
Answer:
16-4x^2
Step-by-step explanation:
u start multiplying them by each other .
4×4= 16
4×2x= 8x
-2x×4= -8x
-2x×2x= -4x^2
now u combine like terms
8x+-8x = 0
16-4x^2
I hope u understood.... lol
If the second term of an arithmetic progression is - 4 and the fourth term is 4, find the eighth term.
Answer:
Step-by-step explanation:
a₄ = a₁ + (4-1)d
4 = -4 + 3d
d = 8/3
a₈ = a₄ + (8-4)d = 4 + 4(8/3) = 14⅔
are any of you in the 9th grade and good with math? 2 (x2 - 3) + x (x - 7)
Answer:
[tex]3x^{2} - 7x - 6[/tex]
Step-by-step explanation:
[tex]2x^{2} - 6 + x^{2} - 7x[/tex]
[tex]3x^{2} - 7x - 6[/tex]
A line and a point ____ intersect
Answer: does
Step-by-step explanation:
Please help on this math question.
Will be marked as BRAINLEST!
Answer:
20
Step-by-step explanation:
[tex]25 \times 25 - 15 \times 15 = 400[/tex]
[tex] \sqrt{400} = 20[/tex]
Answer:
b=√400
=20
Step-by-step explanation:
15^2+b^2=25^2
225 + b^2=625
b^2=625-225
b^2=400
b=√400
b=20
The perimeter of a triangle is 50 mm. The lengths of 2 of the sides are 13.5 mm and 14.5 mm. Find the missing length.
PLEASE PLEASE PLEASE HELP ITS DUE
4) -3x – 2y = -17
9x + 2y = 23
A) (1,7)
B) (10, 7)
C) (5, 7) D) (-7,7)
Answer:
A). (1, 7)
Step-by-step explanation:
-3x – 2y = -17
9x + 2y = 23
____________+
6x = 6
x = 6/6
x = 1
9x + 2y = 23
9(1) + 2y = 23
9 + 2y = 23
2y = 23 - 9
2y = 14
y = 14/2
y = 7
what will happen to the graph if the x intercept has an even multiplicity
Answer:
Graphical Behavior of Polynomials at x-Intercepts. ... The graph of a polynomial function will touch the x-axis at zeros with even multiplicities. The graph will cross the x-axis at zeros with odd multiplicities.In APQR, PR is extended through point R to point S, m_PQR = (2x + 1)º,
mZQRS = (10x – 10°, and mZRPQ = (3x + 14)°. What is the value of
x?
Answer:
I’m doing i-Ready and my question hasn’t been answered
Step-by-step explanation:
what is the slope of the line passing through the points (2,5) and (-1,-4)? show all work.
Answer:
3
Step-by-step explanation:
[tex]\frac{y_{1} - y_{2}}{x_{1} - x_{2}} = \frac{9}{3} = 3[/tex]
(GIVING BRAINLIYEST)
7. what is the volume of these 2 objects
figure #1
smaller part
4x7x2= 56m
larger part
4x3x7= 84m
84+56= 140m³
figure #2
smaller part
2x4x3= 24m
larger part
4x4x12= 192m
192+24= 216in³
