Answer: 21
Step-by-step explanation:
Let the consecutive odd numbers be represented by x and x+2. Therefore,
x × (x+2) = 483
x² + 2x = 483
x² + 2x - 483 = 0
x² + 23x - 21x - 483 = 0
x(x + 23) - 21(x + 23) = 0
(x - 21) = 0
x = 0 + 21
x = 21
The smaller integer is 21
The larger integer is 21 + 2 = 23.
what is 5x+14-(3x-5) so so so For this its subtraction expressions
Answer:
2x+19
Step-by-step explanation:
5x+14-(3x-5)
2x+14+5
2x+19
The sum of 2 numbers is 21.
The second number is 6 times the first number.
Work out the two numbers.
Answer:
both numbers are 18 and 3
Step-by-step explanation:
Answer:
3 and 18.
Step-by-step explanation:
Let the numbers be x and 21-x, then:
21-x = 6x
6x = 21 - x
7x = 21
x = 3
The 2 numbers are 3 and 18.
(cosA+sinA)
2
+(sinA−cosA)
2
=2
Answer:
Here we want to solve:
(cos(A) + sin(A))^2 + ( sin(A) - cos(A))^2 = 2
First, remember the two expansions:
(a + b)^2 = a^2 + 2*a*b + b^2
(a - b)^2 = a^2 - 2*a*b - b^2
Using these relations, we can expand:
(cos(A) + sin(A))^2 = cos(A)^2 + 2*cos(A)*sin(A) + sin(A)^2
( sin(A) - cos(A))^2 = sin(A)^2 - 2*sin(A)*cos(A) + cos(A)^2
Replacing that in our equation, we geT:
(cos(A)^2 + 2*cos(A)*sin(A) + sin(A)^2) + (sin(A)^2 - 2*sin(A)*cos(A) + cos(A)^2) = 2
We can simplify this to get:
2*cos(A)^2 + 2*sin(A)^2 + 2*cos(A)*sin(A) - 2*cos(A)*sin(A) = 2
2*cos(A)^2 + 2*sin(A)^2 = 2
We can take the 2 as a common factor to get:
2*cos(A)^2 + 2*sin(A)^2 = 2*( cos(A)^2 + sin(A)^2) = 2
Now we can divide both sides by 2:
2*( cos(A)^2 + sin(A)^2)/2 = 2/2
cos(A)^2 + sin(A)^2 = 1
And this is a trigonometric property that is true for any value of A.
So the equality:
(cos(A) + sin(A))^2 + ( sin(A) - cos(A))^2 = 2
is true for any real value of A.
A plumber has been working at 4 customer sites. He has completed 1/4, 50%, 12.5%, 3/4 and of his work at the sites. Which list shows the work completed at the sites, in order from greatest to least? 1. 12.5%, 1/4, 50%, 3/4 2. 3/4, 50%, 1/4, 12.5% 3. 3/4, 12.5%, 1/4, 50% 4. 1/4, 50%, 3/4, 12.5%
Answer:
2. 3/4, 50%, 1/4, 12.5%
Step-by-step explanation:
Work completed at the 4 sites = 1/4, 50%, 12.5%, 3/4
1/4 = 0.25
50%
= 50/100
= 0.5
12.5%
= 12.5/100
= 0.125
3/4
= 0.75
in order from greatest to least?
3/4, 50%, 1/4, 12.5%
1. 12.5%, 1/4, 50%, 3/4
2. 3/4, 50%, 1/4, 12.5%
3. 3/4, 12.5%, 1/4, 50%
4. 1/4, 50%, 3/4, 12.5%
If the center of the locket is at the origin of a
coordinate plane, which equation represents the
locket?
Answer: I believe it is D, y2/1444+x2/676=1
Step-by-step explanation:
Answer:
It's C. x^2/1444 + y^2/676 = 1
Step-by-step explanation:
I graphed it
Someone help will mark brainlest and give alot of points please
jonathon needs at least an 89 on his test to keep hid A in math what inequality matches jonathons situation
Answer:
x ≥ 89
Step-by-step explanation:
Since Jonathan needs at least an 89, his score must be greater than or equal to an 89.
Answer:
Step-by-step explanation:
How many unit fraction cubes fit into the first layer of the rectangular prism?
Answer:
33 cubes
Step-by-step explanation:
The first layer is 5 1/2 x 3 = 16 1/2
Since each cube we're using to fill it is 1/2 unit long/wide, it's easiest to convert 16 1/2 into halves...16 = 32 halves + 1/2 = 33
can someone help please it’s algebra 2
Answer:
length :16cm
wide :20cm
We have
Area of inner frame :16*20=320cm²
For
Total area =464cm²
(20+2x)(16+2x)=464cm²
320+32x+40x+4x²=464cm²
4x²+72x+320-464=0
4x²+72x-144=0
4(x²+18x-36)=0
x²+2.9.x+9²=9²+36
(x+9)²=117
x+9=√117
x=10.81-9
x=1.82[approximately]
So
width of frame;20cm+1.82+1.82=23.64cm
length: 16+1.82+1.82=19.64cm
Here length is smaller than breadth.
Alonzo is going on a kayaking trip and needs to hire a guide. The cost of the guide is $55. He wants to give the guide a 10% tip. What is the total cost of the tour after tip is calculated?
Answer:
$60,50
p-by-step explanation:
10%de $ 55 é $5,50
55,00+$ 5,50 = $60,50
Espero ter ajudado!!
The diameter of a circle measures 22 cm. What is the circumference of the circle?
Use 3.14 for at, and do not round your answer. Be sure to include the correct unit in your answer.
Answer:
Step-by-step explanation:the circumference of a circle is found by multiplying the diameter by pi
Circumference = 22cm x 3.14 = 69.08 cm
Answer:
69.08 cm
Step-by-step explanation:
The circumference of a circle can be found using the following formula:
where d is the diameter. We know the diameter of the circle is 22 centimeters. Substitute the value in for d.
We also know we are using 3.14 for pi. Substitute it in for pi.
Multiply.
The circumference of the circle is 69.08 centimeters.
Please help calculate the surface area
Answer:
SA = 189 cm^2
Step-by-step explanation:
What you're going to want to do is calculate the surface area of each type of side (triangle or rectangle) then add them up accordingly!
Starting with triangles: area = 1/2 * l * h
So, in this scenario its (1/2) * 6 * 4 , or half of 24, which is 12 cm^2
Since we have two triangular sides, that totals to 24 cm^2.
Then the rectangular sides: area = l*h
so, 5*11 = 55 cm^2
We have three rectangular sides, totalling 165 cm^2
165+24 = 189 cm^2
Answer:
200 [tex]cm^{2}[/tex]
Step-by-step explanation:
SA = LA + 2B where LA is the lateral area and B is the area of the base(triangle)
LA = ph p = perimeter of base and h = distance between bases
LA = (5 + 5 + 6)11 = 176
B = bh/2 = 6(4)/2 = 12
SA = 176 + 2(12) = 176 + 24 = 200 [tex]cm^{2}[/tex]
Find the value of x in the triangle shown below.
6
4
Answer: √ 52
Step-by-step explanation:
1. Change each of the following equations to the form
y = mx + c. Then, state the values of m and c.
(a) -6x- y = 3
(b) 3x - 4y = 12
(c)-2x + 5y = 10
(d) x + 2y = 4
(e) 8x- 4y = 3
(1) 4x + 5y = -6
Answer:
(a) -6x- y = 3
[tex]6x + y = -3\\ y = -6x -3[/tex]
(b) 3x-4y =12
[tex]3x - 4y = 12\\-4y = -3x +12\\4y = 3x -12\\\\y = \frac{3}{4}x -3[/tex]
(c)-2x + 5y = 10
[tex]-2x + 5y = 10\\5y = 2x + 10\\y = \frac{2}{5}x + 2[/tex]
(d) x + 2y = 4
[tex]x+2y=4\\2y = -x + 4\\y = \frac{-1}{2} x +2[/tex]
(e) 8x- 4y = 3
[tex]8x - 4y =3\\-4y = -8x + 3\\4y = 8x -3\\y = 2x -\frac{3}{4}[/tex]
(f) 4x + 5y = -6
[tex]4x + 5y = -6\\5y = -4x - 6\\y = \frac{-4}{5} x -\frac{6}{5}[/tex]
PLZZ HELP ME WITH THIS
Please show work thank you
Answer:
x = -10, x = -6
Step-by-step explanation:
[tex]x^2+16x+60\\(x+10)(x+6)=0\\x=-10,x=-6[/tex]
PLSSSS HELP ASSAP 50 POINTS FPR FIRST PERSON TO ANSWER
Answer:
a. 2/3 or 0.6666...
b. AB = 6cm and AD = 3cm
Step-by-step explanation:
28/42 = 2/3
14/21 = 2/3
42*1/7 = 6
21*1/7 = 3
Helpppp pls
Find AB.
PLZ HELPPPPPPPPPP!!!!
Answer:
110.94
Step-by-step explanation:
Surface area is the area of each side of the shape added together. So in this situation, it would be the area of a side, multiplied by 6, because a square has six sides.
To find the area, it's length x width. You're given the length and width, which both are 4.3 mm.
4.3 x 4.3 = 18.49
With this new number, you're gonna multiply it by 6. And the total will be 110.94 mm. :)
heyy! i’ll give brainliest please help
Answer:
the 3rd option
Step-by-step explanation:
Answer:
B. (Never capitalize directions)
Step-by-step explanation:
north or west are not a name, person, or a city
EASY BRAINLIEST PLEASE HELP!!
-if you answer correctly ill give you brainliest which will give you 100pts-
(if you put links or don't answer accordingly im reporting your account)
Answer:
C. AB = 5.8 cm
Step-by-step explanation:
In trapezoid ABCD, EF is Midsegment.
[tex] \therefore EF =\frac{1}{2} (AB + CD) [/tex]
[tex] \therefore 9.2 =\frac{1}{2} (AB + 12.6) [/tex]
[tex] \therefore 9.2\times 2= AB + 12.6[/tex]
[tex] \therefore 18.4= AB + 12.6[/tex]
[tex] \therefore 18.4-12.6= AB [/tex]
[tex] \therefore AB= 5.8 \: cm [/tex]
Hope this helps!!!
Have a great day!!!
If k = 2, what is the value of k3 - (k-10)+4k ?
Answer:
24
Step-by-step explanation:
The given expression is k^3 - (10-k) +4k
Substitute the numerical value of k=2 in the above expression
2^3-(2-10)+4*2=8+8+8=24
The value of the given expression is 24
Answer:
24
Step-by-step explanation:
k³ - (k - 10) + 4k
= 2³ - (2 - 10) + 4(2)
= 8 - (-8) + 8
= 16 + 8
= 24
PLEASE SOMEONE HELP ME??!! i really need it!! thank you!!
A 45°-45°-90° triangle has a hypotenuse that is 162–√ cm long. Each leg of the triangle is ___ cm long
I NEED HELP WITH THIS HELP PLS!!!!
Answer:
120
Step-by-step explanation:
Volume =lxbxh
=5 x 6 x 4
=120
WILL MARK BRAINLIEST IF GOTTEN RIGHT
Answer:
8
Step-by-step explanation:
hope this helps
Answer:
C. 3
Step-by-step explanation:
OP = √5²-4²=√25-16=√9= 3
Need help solving this question
9514 1404 393
Answer:
a = 36
Step-by-step explanation:
A stationary point is where the function derivative is zero. Here, we have ...
y' = 2kx -16/x^2 = 0
For x = 2/3, this is ...
4/3k -16/(4/9) = 0
4/3k = 36
k = 27
Then the value of y at that point is ...
y = 27(2/3)^2 + 16/(2/3) = 12 +24 = 36
The stationary point of interest is (2/3, a) = (2/3, 36). a = 36.
Answer:
a =31
I think I'm not sure
Evaluate the expression when b=4 and y=-2
b-5y
Answer:
14
Step-by-step explanation:
4 - 5 * -2 =
4 - -10 =
14
Hope this helped :]
Answer:
14
Step-by-step explanation:
b = 4
y = -2
Therefore;
(4) - 5(-2)
=> 4 - (-10)
=> 4 + 10
=> 14
Hope this helps!
Question 1 of 10
AWXY is a right triangle.
X
736
18
18
Y
A. True
B. False
Answer:
A.True
stay safe healthy and happy.Solve for x. x³ = 1000
Answer:
a3−b3=(a−b)(a2+ab+b2) a 3 - b 3 = ( a - b ) ( a 2 + a b + b 2 ) where a=x and b=10 .
Step-by-step explanation:
When changing 67,430,000 to scientific notation, how many places is the decimal point moved?
4
6
7
8
Answer:
7
Step-by-step explanation: