Step-by-step explanation:
l=✓9²+4²
l=√81+16
l=✓97
Which of the following represents the factorization of the polynomial below?
X2 +9x + 20
The factorisation of that poly is
(x+4)(x+5)
Calculate the value of 1.8 / 0.4 x 0.36 / 0.24
Answer:
6.75
Step-by-step explanation:
that is the answer by the way
Determine the numerical length of JK.
Answer:
30
So the two sectors add to the full length:
JK + IJ = IK
x+6 + 9 = 2x
Rearrange:
x=15
So the numerical length:
2x
2*15
30
Find the length of side AB.
Give your answer to 1 decimal place.
C
12 cm
62°
A
B
Answer:
5.5 = AB
Step-by-step explanation:
take 62 degree as reference angle
using cos rule
cos 62 = adjacent / hypotenuse
0.46 = AB / 12
0.46*12 = AB
5.52 = AB
5.5 = AB
The length of side AB in the given right angle triangle of hypotenuse 12 cm is 5.7 cm.
A triangle with one angle at [tex]90^o[/tex] is called right angle triangle.
Given that:
Hypotenuse = 12 cm
[tex]\theta = 62^o[/tex]
The length of side AB in the given right angle triangle is calculated as:
Using trigonometric function,
[tex]\cos\theta = \dfrac{base}{hypotenuse}[/tex]
Let, the value of base be x
Substitute the values in the given formula:
[tex]\cos 62^o = \dfrac{x}{12}[/tex]
Using the trigonometric table, the value of [tex]\cos 62^o[/tex] is 0.4694
[tex]0.4694 \times 12[/tex]= x
x= 5.6328
x = 5.7
Thus, the length of side AB to 1 decimal place is 5.7 cm
Learn more about trigonometric function here:
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Give the algebraic expression by using variables and constant and arithmetic operations: i. Sum of the squares of x and y. ii.Product of "x" and "y" subtracted from 9. Pls fast
Answer:
a) x^2 + y^2
b) 9-xy
Step-by-step explanation:
Here, we want to write the algebraic statements as expressions;
a) The sum of the squares of x and y
The square of x is x^2
The square of y is y^2
The sum of the squares is x^2 + y^2
ii) Product of x and y subtracted from 9
The product of x and y is x * y = xy
Subtracting these from 9, we have;
9-xy
binomial theorem to expand (x+4)^4
Answer:
Step-by-step explanation:
(x+4)^2.(x+4)^2
= x^4 +16x^3+96x^2+256x+256
help on this please
Find < Z
Answer:
150°
Step-by-step explanation:
2x+x+90=180
3x=90
x=30
z= 180-x = 180-30 = 150°
No Docs/No Files Only real Answer
65 points and a 5-star rated
I Will also follow back
Well, If the area of ABC is 20cm², Then the area of ABS would be 10cm² and the area of ACS would also be 10cm². You basically are just cutting the ABC in half. I hope this helps!
Answer:
a) 400
b)160,000
Step-by-step explanation:
times 20 by 20 hence 20² for a. you get 400, for b, just do 400² which gets you 160,000.
If its wrong im so sorry
Someone help me please
Answer:
x
Step-by-step explanation:
Find the sum of the given arithmetic series. 24 + 48 + 72 + 96 +...+ 480
Answer:
5040
Step-by-step explanation:
The given series is :
24 + 48 + 72 + 96 +...+ 480
The first term, a= 24
Common difference, d = 24
The last term, [tex]a_n=480[/tex]
Let there are n terms in the AP.
So,
[tex]a_n=a+(n-1)d\\\\480=24+(n-1)24\\\\480=24+24n-24\\\\n=20[/tex]
There are 20 terms in the series. The sum of 20 terms is :
[tex]S_{20}=\dfrac{n}{2}(2a+(n-1)d))\\\\=\dfrac{20}{2}\times (2(24)+19(24))\\\\=5040[/tex]
So, the sum of the given arithmetic series is equal to 5040.
what is photosynthesis ?
what is pain ?
Answer:
photosynthesis is the process by which plants use energy from the sun in order to produce energy such as glucose. It mainly uses energy from the sun, carbon dioxide, and water to achieve this.
Pain is a warning signal produced by your body and sent to the central nervous system to tell you of a physical injury. Your body has many pain receptors that can be triggered by a myriad of things like heat or punctures.
the process by which green plants and some other organisms use sunlight to synthesize foods from carbon dioxide and water. Photosynthesis in plants generally involves the green pigment chlorophyll and generates oxygen as a byproduct.
Photosynthesis is a process used by plants and other organisms to convert light energy into chemical energy that, through cellular respiration, can later be released to fuel the organism's metabolic activities.
Pain is a distressing feeling often caused by intense or damaging stimuli. The International Association for the Study of Pain defines pain as "an unpleasant sensory and emotional experience associated with, or resembling that associated with, actual or potential tissue damage."[1] In medical diagnosis, pain is regarded as a symptom of an underlying condition.
Pain motivates the individual to withdraw from damaging situations, to protect a damaged body part while it heals, and to avoid similar experiences in the future.[2] Most pain resolves once the noxious stimulus is removed and the body has healed, but it may persist despite removal of the stimulus and apparent healing of the body. Sometimes pain arises in the absence of any detectable stimulus, damage or disease.[3]
can someone help me please
Answer:
8. B
9. B
Step-by-step explanation:
add all sides to get perimeter
multiply sections of the area to get area (length times width)
6÷8 using long division
Given:
The expression is:
[tex]6\div 8[/tex]
To find:
The value of the given expression by using the long division method.
Solution:
We have,
[tex]6\div 8[/tex]
Here, dividend is 6 and divisor is 8.
Since 6<8, therefore we will use the decimal in dividend and quotient as shown below:
[tex]\underline{\quad 8\quad}|\overline{\quad 6.00\quad }|\underline{\quad 0.75\quad }[/tex]
[tex]\underline{\quad 56\quad }[/tex]
[tex]40[/tex] (After subtraction)
[tex]\underline{\quad 40\quad }[/tex]
[tex]\underline{\quad 0\quad }[/tex] (After subtraction)
Therefore, the value of the given expression is 0.75.
has endpoints J(13, 8) and K(–6, –6). Find the coordinates of the midpoint of .
Answer:
the midpoint of it is 8,-6
Step-by-step explanation:
rhgsr egh
If x = -7 and y = 2, what is Vy - 14x?
Answer:
10
Step-by-step explanation:
sqrt(100) is 10
Replace x and y with their values:
Sqrt (2 -14(-7))
Multiply 14 and -7
Sqrt(2 - -98)
Add
Sqrt(100)
Simplify to get 10
Answer = 10
John bought 8 birds and 6 pigeons for $2400. If he had bought 1 more pigeon and 2 fewer birds, he would have paid $200 more. What is the cost for 1 love bird and 1 pigeon?
Answer: 1 pigeon is $320
1 love bird is $80
Step-by-step explanation:
Let the cost for 1 love bird be represented by x
Let the cost for 1 pigeon be represented by y.
Since John bought 8 birds and 6 pigeons for $2400. This will be:
8x + 6y = 2400 ...... i
If he had bought 1 more pigeon and 2 fewer birds, he would have paid $200 more. This will be:
6x + 7y = 2600 ...... ii
8x + 6y = 2400 ...... i
6x + 7y = 2600 ...... ii
Multiply equation i by 6
Multiply equation ii by 8
48x + 36y = 14400 ...... iii
48x + 56y = 20800 ...... iv
Subtract iii from iv
20y = 6400
y = 6400/20
y = 320
1 pigeon is $320
From equation i
8x + 6y = 2400
8x + 6(320) = 2400
8x + 1920 = 2400
8x = 2400 - 1920
8x = 480
x = 480/8
x = 60
1 love bird is $80
Point A(–4, 2) is reflected over the line x = 3 to create the point A'. What are the coordinates of A'? A. (–4, –1) B. (–4, 8) C. (–1, 2) D. (10, 2) Please select the best answer from the choices provided A B C D
Answer:
D. (10, 2)
Step-by-step explanation:
A' = [ 2(3)-(-4) ; 2]
=> (6+4 ; 2)
=> (10, 2)
Answer:
D
Step-by-step explanation:
Geometry math help show work pelase help Jim thanks
Answer:
p = 1.4
Step-by-step explanation:
The ratio of sides is the same
p/4.2 = 1.7/5.1
multiply both sides by 4.2
p = 1.7/5.1 * 4.2
p = 1.4
===========================================================
Explanation:
JK = LM because opposite sides of a parallelogram are the same length.
Side LM is p units long, where p is a placeholder for a number.
To determine what number replaces p, we can form the proportion shown below
BC/KL = CD/LM
Refer to the drawing below. I've circled the corresponding pieces. Note the color coding. Other equations are possible.
-----------
So,
BC/KL = CD/LM
(5.1)/(1.7) = (4.2)/p
5.1p = 1.7*4.2 ....................... cross multiply
5.1p = 7.14
p = (7.14)/(5.1)
p = 1.4
A Rectangle is formed by placing two identical squares side-by-side the area of the rectangle is two cm². What is the perimeter of one square
Answer:
4cm
Step-by-step explanation:
first find the length of the side of one square
the length of the rectangle will be twice the width
let y represent the width
area of a rectangle=length x width
2cm²=2yxy
2cm²=2y²
2cm²/2=2y²/2
1cm²=y²
1√cm²=√y²
1cm=y
perimeter of a square=4xside
4x1cm
4cm
answer choices:
A.) 31
B.) 41
C.) 19
D.) 35
Answer:
A
Step-by-step explanation:
If lines are parallel and intersected by another line then there are 2 alternating angles between them.
A carton of orange juice is 9 centimeters long and 24 centimeters tall. If I drink one-third of the fruit juice, what is the volume of the fruit. Juice left in the carton? Give your answer in liters and milliliters.
Step-by-step explanation:
Given that,
The length of a carton, h = 9 cm
Width, b = 13 cm
height, h = 24 cm
I drink one-third of the fruit juice, then two third will be left. So, the volume is :
[tex]V=\dfrac{2}{3}\times lbh\\\\V=\dfrac{2}{3}\times 9\times 24\times 13\\\\V=1872\ cm^3[/tex]
Since, 1 L = 1000 cm³
1872 cm³ = 1.8 L
or
= 1800 mL
Hence, this is the required solution.
A bicycle tyre has a diameter of 14 cm. John decides to cut the tube to see how long the rubber is.
a. What is John trying to find? _____________________________________________
b. Calculate the circumference of the tyre.
c. If John should place the tyre on the ground and fill the space inside with paint, how much space would be occupied by the paint?
Answer:
A:He is trying to find the diameter
B: 3.14*14=43.96
C: 3.14*14^2=615.44
Hope This Helps!!!
Can someone help me? It's urgent and thank you!
Answer:
1
----------
x+1
Step-by-step explanation:
2x+12
----------------
2x^2 + 14x+12
Factor
2(x+6)
-------------------
2(x^2+7x+6)
2(x+6)
--------------
2(x+6)(x+1)
Cancel like terms
1
-------------
(x+1)
Solve the following word problems.
1. The ratio of red marbles and blue marbles that Carlo has is 8: 3. When he
exchanged 35 red marbles for 20 blue marbles from his brother, he was left with
equal number of red and blue marbles.
How many red and blue marbles did he have at the beginning?
How many red and blue marbles did he have now?
Answer:
see below
Step-by-step explanation:
R:B = 8:3
5 ratio marbles is 35 (to make ration 3:3)
1 ratio=7
He originally had 56 red marbles and 21 blue (77 total)
Now he has 21 Red and 21 Blue (42 total)
What is the fractional form of 0.8?
a. 8/10
b. 1/8
c. 8/9
d. 8/11
Answer:
a. 8 / 10
Step-by-step explanation:
0.8 = 8 / 10
Answer:
8/10
Step-by-step explanation:
0.8
The number is in the tenths place
The denominator is 10
8/10
Guys help on this I hate math !!!
Answer:
1. 194
2. 189
Step-by-step explanation:
1. 991 - 797 = 194
2. 826 - 637 = 189
Answer:
1. 194 people increased.
2. Edith has 189 stamps more than Parick.
Step-by-step explanation:
1. 991 - 797 = 194
2. 826 - 637 = 189
how to write 0.12 repeating as a fractiom
Answer:
4/33
Step-by-step explanation:
do the normal steps to conversion
Find the value of x. X + 11 + 8x = 29
[tex]\implies {\blue {\boxed {\boxed {\purple {\sf {x\:=\:2}}}}}}[/tex]
[tex]\large\mathfrak{{\pmb{\underline{\orange{Step-by-step\:explanation}}{\orange{:}}}}}[/tex]
[tex]x + 11 + 8x = 29[/tex]
[tex]➺ \: x + 8x = 29 - 11[/tex]
[tex]➺ \: 9x = 18[/tex]
[tex]➺ \: x = \frac{18}{9} [/tex]
[tex]➺ \: x = 2[/tex]
Therefore, the value of [tex]x[/tex] is 2.
[tex]\large\mathfrak{{\pmb{\underline{\blue{To\:verify}}{\blue{:}}}}}[/tex]
[tex]x + 11 + 8x = 29[/tex]
[tex]➺ \: 2 + 11 + 8(2) = 29[/tex]
[tex]➺ \: 2 + 11 + 16 = 29[/tex]
[tex]➺ \: 29 = 29[/tex]
➺ L. H. S. = R. H. S
Hence verified.
[tex]\red{\large\qquad \qquad \underline{ \pmb{{ \mathbb{ \maltese \: \: Mystique35\:ヅ}}}}}[/tex]
Answer the following
Answer:
Step-by-step explanation:
ILL MARK BRAINLIEST !!!!
26.
Which point on the number line represents −2/3?
Point P
Point Q
Point R
Point S
Answer:
Q
Step-by-step explanation:
it is between -1 and -2 were -2/3 would be located