one day sally won the lottery she won 654321 dollars and her brother mark won 76543 dollars how much money is there together?
Answer:
730864
Step-by-step explanation:
654321 +76543=730864
write 10 examples of cyllnder in your daiy life
Step-by-step explanation:
milk container
a room spray
coke can
Answer:
Pipes
Cold drink cans
Water tanks
Battery
Gas cylinder
Candle
Test tube
Beaker
Fire extinguisher
Q1.work out the sum of the interior angles of a pentagon.
Q2.work out the size of one interior angle of a regular octagon.
Q3.work out the size of one exterior angle of a regular hexagon
Answer:
Question 1:
The sum of interior angles of a polygon can be found by the following formula:
(n-2) × 180
Where n is the no. of sides
A pentagon has 5 sides
So,
= (5-2) × 180
= (3) × 180
= 540 degrees
Question 2:
Since The sum of interior angles of a regular octagon is 1080 and the total interior angle are 8
So, Measure of interior angle = [tex]\frac{1080}{8}[/tex]
Measure of interior angle = 135 degrees
Question 3:
Since, one interior angle in a hexagon measures 120 degrees.
So,
The interior angle should be subtracted by 180 to get the exterior angle.
Exterior angle = 180-120
Exterior Angle = 60 degrees
factories fully the flowing
[tex]x^{2} +3x \\2x^{2} -8x \\6x+9x^{2} \\12x^{3} -4x^{2}[/tex]
Answer:
Given below:)
Step-by-step explanation:
1) (x)(x+3)
2) (2x)(x-4)
3) (3x)(2+3x)
4) (4x^2)(3x+1)
I have factorised all of them by taking the common factor out of each
A box is filled with9 yellow cards,2 red cards, and 9 blue cards. A card is chosen at random from the box. What is the probability that the card is not red? Write your answer as a fraction in simplest form.
Answer: 9/10
Step-by-step explanation:
Total cards are 20
Out of these, only 2 are red. So, the probability of the card not being red is 18/20 = 9/10
Answer:
Brainliest here! >:D
Step-by-step explanation:
the is a total of 20 cards
2 of them of red
so 18 of the 20 (18/20) is not red
so the probability theroticatily is 9/10 or 90%
The diagram shows two joined rectangles. The total area of the compound shape ABCDEF is 36 cm^2. By considering the areas of the two rectangles, show that
2x^2 - 5x - 18 = 0 and hence find the value of length AB.
Answer:
The value of AB is 9/2 or 4.5
Answer:
4.5 cm
Step-by-step explanation:
The total area is the sum of areas of two rectangles:
x(x-4)+3x(x-2)=36x²-4x+3x²-6x-36=04x²-10x-36=02x²-5x-18=02x²-9x+4x-18=0x(2x-9)+2(2x-9)=0(x+2)(2x-9)=0x+2=0 ⇒ x= -2 discarded as negative2x-9=02x=9x=4.5AB=4.5 cmPlease help me simplify these expressions
Answer:
32•z^4•s^7
20w^9
Step-by-step explanation:
We simply use the multiplication law of indices to work these out.
1. 8zs^2 * 4z^3s^5 = 32 * z^(1+3) * s^(2+5) = 32•z^4•s^7
2. 5w^5 * 4w^4 = 20 * w^5 + 4 = 20w^9
pls help me with this if you know it also to explain it thanks Solve the equation -21 + 70n = 77 for n.
Answer:
n = 1 2/5
Step-by-step explanation:
-21 + 70n = 77
Add 21 to each side
-21+21 + 70n = 77 +21
70n = 98
Divide each side by 70
70n/70 = 98/70
n =98/70
n = 70/70 +28/70
n = 1 + 2/5
n = 1 2/5
Answer:
This would also be known as 7/5
Step-by-step explanation:
The person above included the mixed number but I just thought it would be nice to save some of the math for some people. Have a good day !!
Identify the percent of change as an increase or decrease. Then find the percent of change, rounding to the nearest tenth of a percent, if necessary.
60 cars to 24 cars
Answer:
-60% decrease
Step-by-step explanation:
60 is the old value and 24 is the new value.
percent change = [tex]\frac{new - old}{|old|}[/tex] x 100%
so for this problem, you can substitute the values given in the formula:
percent change = [tex]\frac{60-24}{|60|}[/tex] x 100% = [tex]\frac{-36}{60}[/tex] x 100% =
-60% (decrease)
Can someone answer this question please please help me I really need it if it’s correct I will mark you brainliest .
Answer:
B. x + 0.2x
Step-by-step explanation:
0.2 is equal to 20%
x represents the amount of dollars, and 20% of x would be written as 0.2x.
The 20% of x would be added to the money before the 20%, so, the answer is b, x + 0.2x.
X/5=3 anyone know this??
X/2=8.5 and this ??
Answer:
15
17
Step-by-step explanation:
x/5=3 ⇒ x=5*3=15
x/2=8.5 ⇒ x= 2*8.5=17
root 3 cosec140° - sec140°=4
prove that
Answer:
Step-by-step explanation:
We are to show that [tex]\sqrt{3} cosec140^{0} - sec140^{0} = 4\\[/tex]
Proof:
From trigonometry identity;
[tex]cosec \theta = \frac{1}{sin\theta} \\sec\theta = \frac{1}{cos\theta}[/tex]
[tex]\sqrt{3} cosec140^{0} - sec140^{0} \\= \frac{\sqrt{3} }{sin140} - \frac{1}{cos140} \\= \frac{\sqrt{3}cos140-sin140 }{sin140cos140} \\[/tex]
From trigonometry, 2sinAcosA = Sin2A
[tex]= \frac{\sqrt{3}cos140-sin140 }{sin140cos140} \\\\= \frac{\sqrt{3}cos140-sin140 }{sin280/2}\\= \frac{4(\sqrt{3}/2cos140-1/2sin140) }{2sin280}\\\\= \frac{4(\sqrt{3}/2cos140-1/2sin140) }{sin280}\\since sin420 = \sqrt{3}/2 \ and \ cos420 = 1/2 \\ then\\\frac{4(sin420cos140-cos420sin140) }{sin280}[/tex]
Also note that sin(B-C) = sinBcosC - cosBsinC
sin420cos140 - cos420sin140 = sin(420-140)
The resulting equation becomes;
[tex]\frac{4(sin(420-140)) }{sin280}[/tex]
= [tex]\frac{4sin280}{sin280}\\ = 4 \ Proved![/tex]
Alex, Stephen and Bridget share some sweets in the ratio 4:1:1. Alex gets 36 sweets. How many sweets are there altogether?
Answer:
There are 54 total sweets
Step-by-step explanation:
Alex: Stephen : Bridget : total
4: 1 : 1 : 4+1+1 = 6
Alex gets 36
36/4 = 9
Multiply each number by 9
Alex: Stephen : Bridget : total
4*9: 1*9 : 1*9 : 6*9
36: 9 : 9 : 54
There are 54 total sweets
Simplify this algebraic expression completely.
8y-2(y + 4)
A. 6y + 4
B. 6y + 2
C. 6y-8
D. 6y - 4
Answer:
C.) 6y-8
Step-by-step explanation:
8y-2(y+4)
8y-2y-8
6y-8
So answer is C
Answer:
Option C
Step-by-step explanation:
[tex]8y-2(y+4)\\\\\text{Distribute:}\left \{ {{-2*y=-2y} \atop {-2*4=-8}} \right. \\8y-2y-8\\\text {Combine like terms:}\\8y-2y=6y\\\text {We are left with:}\\\boxed {6y-8}\\\text {This is the simplest form of the equation. Option C should be the correct answer.}[/tex]
this is my question -- solve x^2+5x+6=0
Answer:
x = -2,-3
Step-by-step explanation:
Solve the equation by factorizing.
To factorize this equation, you have to find the two numbers that adds up to 5 and multiplies to 6.
This one is obvious, but for others you may use trial and error.
After finding the 2 numbers: 2 and 3.
Present them in this format:
(x+3) ( x+2) = 0
You may check if this is correct using the distribution method.
After this,
you have to solve it individually.
for example:
x+3 = 0
x = -3
x+2 = 0
x = -2.
Thus, x has 2 different values: -3, -2.
You may check this by substituting x with either of these values.
Please mark brainiest
If 7+5x+9=−3x , then x=−2 . Drag and drop the reasons to correctly complete each box.
Answer:
Where are the reasons and boxes? Could you repost with more information or a picture please? Thank you!
Step-by-step explanation:
Suppose figure A underwent a dilation to produce figure B. Are figure A and figure B similar?
Answer:
Figure A and B are still congruent to each other. the only change is the size of the shape.
Step-by-step explanation:
Yes, figure A and figure B similar because even though their side lengths are different, their internal angles are the same.
What is mean by Triangle?A triangle is a three sided polygon, which has three vertices and three angles which has the sum 180 degrees.
Given that;
Suppose figure A underwent a dilation to produce figure B.
Now, A dilation is a transformation that produces an image that is the same shape as the original, but is a different size
if Dilation factor N then image Size is multiplied by N
if Scale factor < 1 then image get reduced
if scale factor > 1 then image get enlarged
scale factor = 1 lead to Same size image
Hence, Figure A and figure B similar because even though their side lengths are different, their internal angles are the same.
Learn more about the triangle visit;
brainly.com/question/1058720
#SPJ6
How old am I if 2 times my age increased by 244 is 400?
Answer:
78
Step-by-step explanation:
400-244=156
156/2=78
Answer:
78 years old
Step-by-step explanation:
400 − 2 x = 244
400 − 244 = 2 x
156 = 2 x
so the answer would be 78 years old...
Hope that was helpful.Thank you!!!
8. Solve for a:
p+q=2ab
[tex]\text{Solve for a:}\\\\p+q=2ab\\\\\text{Since we want to solve for a, it needs to be by itself}\\\\\text{To do this, we have to divide both sides by 2b}\\\\\frac{p+q}{2b}=a\\\\\text{Now since A it's by itself, that'll be your answer}\\\\\boxed{\frac{p+q}{2b}=a}[/tex]
Please explain and show work. In the function f(x)=cosx, f(x) is multiplied by a factor of 3, x is replaced with 4x and 5 is added to the function. Explain the effects this has on the graph of the function (i.e. horizontally, vertically, compressed, stretched, etc.).
Your graph will actually look like an oscillation (wave), it will be more compressed horizontally. As the value of x increases withe very whole number, your graph will compress horizontally. More like in the image below.
Simplify the expression.
4(-8x + 5) - (-33x - 26) =
Answer: x=-46
Step-by-step explanation:
Assuming the expression equals 0 (I'm not sure since you didn't explicitly state that, but I inferred for the sake of answering the question):
4(-8x+5)-(-33x-26)=0
-32x+20+33x+26=0
1x+46=0
x=-46
Hope that helps!
Answer:
x+46
Step-by-step explanation:
I used distribution for the first half of the equation, and got -32x+20. I used the negative on the second and mad it positive: 33x+26. I combine like terms, adding 33 to -32, got 1, then added 20 and 26. My answer was as listed above.
Hope this helped!
Please help with this question
Answer:
[tex]25[/tex]
Step-by-step explanation:
[tex]\frac{5^8 \times 5^{-2}}{5^4}[/tex]
[tex]\frac{5^{8+-2}}{5^4}[/tex]
[tex]\frac{5^{6}}{5^4}[/tex]
[tex]5^{6-4}[/tex]
[tex]5^2[/tex]
[tex]=25[/tex]
Which polynomial represents the sum below?
3x2 + 4x +3
3x2 +6x
+
O A. 6x2 + 24x+3
O B. 9x2 + 24x+3
O C. 9x2 + 10x+ 3
O D. 6x2 + 10x+3
Answer:
D
Step-by-step explanation:
Please help meeee !!
Answer:
The answer is B
I will mark you brainliest! How much money did Nikki orginally invest?
Answer:D
Step-by-step explanation:
In ΔJKL, the measure of ∠L=90°, KL = 6 feet, and JK = 7 feet. Find the measure of ∠K to the nearest tenth of a degree.
Answer:
40.6 degrees
Step-by-step explanation:
We know:
KL = 6
JK = 7
Angle L = 90 degrees
So JL is the hypotenuse, meaning we can find it with Pythagorean Theorem. This gets us :
[tex]6^{2}+7^{2} = c^{2}\\c =\sqrt{85}[/tex]
We can find angle K with the following equation:
[tex]sin(k) =\frac{opposite}{hypotenuse} = sin(k) = \frac{6}{\sqrt{85} } = k = arcsin ( \frac{6}{\sqrt{85} }) = 40.6[/tex]
Answer:
31
Step-by-step explanation:
\cos K = Adj/Hyp = 6/7
cosK= 7/ 6
K=\cos^{-1}(6/7)
K=cos −1 ( 6/7 )
K=31.0027≈31
Topic: Probability
Only complete question 13.
Answer:
see below
Step-by-step explanation:
Assuming the comma means and
a) P(A , E) = P(A) * P(E) = .1 * .5 = .05
b) P( A, L, E) = P(A) * P(L) *P(E) = .1 *.4* .5 = .002
C This means that it snows in Abbostford, Lehtbridge and Estevan today is .002 or .2%
I have a test in 2 days please do quickly!!! What is a ratio???!!??
Answer:
A ratio is when 2 values that come from related things are compared in the form of x:y
Answer:
comparison between things
Step-by-step explanation:
for example:
16 girls and 8 boys in a class room
the ratio would be 2:1 (girls:boys)
Use the properties of exponents to determine the value of aa for the equation: Screenshot is below
Answer:
a = -9/20
Step-by-step explanation:
We can evaluate what’s on the left hand side of the equation to get what a is.
The numerator can be expressed as x^(4/5)
The denominator is x^5/4
we use the law of indices to finish this off
That would be;
x^(4/5) ÷ x^(5/4)
Using the second law of indices;
x^(4/5-5/4) = x^-9/20
Since the bases are now equal, then we equate the powers
Thus a = -9/20
PQ=RQ and PS=RS
What does b=?
[tex]answer \\ b = 15 \\ please \: see \: the \: attached \: picture \: for \: full \: solution \\ hope \: it \: helps[/tex]
The measure of angle b is 15 degrees and this can be determined by using the properties of the isosceles triangle.
Given :
The length of the segment PQ is equal to the length of the segment RQ.The length of the segment PS is equal to the length of the segment RS.The following steps can be used in order to determine the measure of angle b:
Step 1 - According to the given data, it can be concluded that triangle PQR and triangle PSR are isosceles triangles.
Step 2 - Apply the sum of interior angle property on triangle PQR.
[tex]\angle Q + \angle P + \angle R = 180[/tex]
[tex]\angle Q + 2\angle R = 180[/tex]
[tex]2\angle R = 180-60[/tex]
[tex]\angle R = 60^\circ[/tex]
Step 3 - Now, apply the sum of interior angle property on triangle PSR.
[tex]\angle P + \angle S + \angle R = 180[/tex]
[tex]\angle S + 2\angle R = 180[/tex]
[tex]2\angle R = 180-90[/tex]
[tex]\angle R = 45^\circ[/tex]
Step 4 - Now, the measure of angle b is calculated as:
[tex]\angle b = 60-45[/tex]
[tex]\angle b = 15^\circ[/tex]
The measure of angle b is 15 degrees.
For more information, refer to the link given below:
https://brainly.com/question/7915845
