Answer:
(a)=40 (b)=60
Step-by-step explanation:
(a)=
So first 70 +70 = 140 then 180-140 = 40
(b)
So first 180/3 = 60 all angles =60
James is reading a book and noticed the page numbers are consecutive integers whose product is 1640. What is the value of the larger page number?
Answer:
41
Step-by-step explanation:
A pair of consecutive numbers is written as: N and N + 1
(where the larger page number is N + 1)
And we know that the product of these numbers is 1640.
Then:
(N)*(N + 1) = 1640
Solving for N, we get:
N^2 + N = 1640
N^2 + N - 1640 = 0
This is a quadratic equation, remember that for a general quadratic equation:
a*x^2 + b*x + c = 0
The solutions are:
[tex]x = \frac{-b\pm \sqrt{b^2 - 4*a*c} }{2*a}[/tex]
In our case, the solutions are:
[tex]N = \frac{-1 \pm \sqrt{(1)^2 - 4*1*(-1640)} }{2} = \frac{1 \pm 81}{2}[/tex]
Then the two solutions are:
N = (-1 + 81)/2 = 40
N = (-1 - 81)/2 = -41
Because N represents the number on a page, it only can be a positive value, then we take the positive solution.
Then the two consecutive numbers, N and N + 1
are:
N = 40
N + 1 = 41
The value of the larger page number is 41.
Find the value of x- helppp
Answer:
60º
Step-by-step explanation:
A triangle is 180º so you do (180-60)/2 and you get that x=60.
Hope that helps :)
Answer:
Hey love! x = 60
Step-by-step explanation:
Because a triangle adds up to 180 so
180 - 60 = 120 and sense both angles will be the same measure I divide 120 by 2 and get 60 so
x =60 Hope that helps!
Write an expression for 213 increased by d.
Write an expression for 213 increased by d: [tex]213+d=x[/tex]
!!!!!URGENT!!!!FIND THE SLOPE
A. 3
B. - 3
X
O
12
14
6
D.
Answer:
3-2/6-3 =1/3
So the answer is 1/3'c'
Find the volume of the composite solid.
Here's the solution,
the volume of the given figure is :
=》
[tex]volume \: \: of \: \: (pyramid \: + rectangular \: \: prism)[/tex]
volume of pyramid :
=》
[tex] \dfrac{l \times b \times h}{3} [/tex]
=》
[tex] \dfrac{4 \times 5 \times 6}{3} [/tex]
=》
[tex] \dfrac{120}{3} [/tex]
=》
[tex]40[/tex]
volume of pyramid = 40 cm³
now, volume of rectangular prism :
=》
[tex]l \times b \times h[/tex]
=》
[tex]4 \times 5 \times 2[/tex]
=》
[tex]40[/tex]
volume of rectangular prism = 40 cm³
volume of composite figure = 40 + 40
=》80 cm³
The volume of the composite solid will be 80 cubic cm.
What is Geometry?It deals with the size of geometry, region, and density of the different forms both 2D and 3D.
Let the prism with a length of L, a width of W, and a height of H. Then the volume of the prism is given as
V = L x W x H
The volume of the Pyramid will be given as,
V = (1/3) × Base area × height
Then the volume of the geometry will be
V = L x W x H + (1/3) x Base area x height
V = 5 x 4 x 2 + (1/3) x 4 x 5 x 6
V = 40 + 40
V = 80 cubic cm
Thus, the volume of the composite solid will be 80 cubic cm.
More about the geometry link is given below.
https://brainly.com/question/7558603
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(416-645)x(4965^3)+50222+
Answer:
It's
−28028073006403
Hope it helps!
Answer: − 2 8 0 2 8 0 7 3 0 0 6 4 0 3
Step-by-step explanation: i assume ur last + was supposed to be = ?
A baby's crib has an area of 690:square inches and a perimeter of 106 inches.What are the dimensions of the crib
Answer:
The crib is 30 inches wide and 23 inches long.
Step-by-step explanation:
Assuming that the crib is rectangular, then the crib has a length L and a width W.
And remember that for a rectangle of width W and length L, the perimeter is:
P = 2*L + 2*W = 2*(L + W)
And the area is:
A = L*W
In this case, the perimeter is 106 in, then:
P = 106in = 2*(L + W)
And we also know that the area is 690 in^2
Then:
A = 690in^2 = L*W
Then we have a system of equations:
106in = 2*(L + W)
690in^2 = L*W
To solve this, first, we need to isolate one of the variables in one of the equations.
Let's isolate L in the first one:
106in/2 = L + W
53 in = L + W
53in - W = L
Now we can replace this in the other equation:
690in^2 = L*W = (53in - W)*W = 53in*W - W^2
690in^2 = 53in*W - W^2
Now we need to solve this for W.
This is a quadratic equation:
W^2 - 53in*W + 690 in^2 = 0
The solutions of this equation are given by Bhaskara's formula:
[tex]W = \frac{-(-53in)\pm \sqrt{(-53in)^2 - 4*1*(690in^2)} }{2} = \frac{57in \pm 7in}{2}[/tex]
Then the two possible solutions of W are:
W = (53in + 7in)/2 = 30in
W = (53in - 7in)/2 = 23in
We can choose any one of these, so let's choose W = 30in
If we replace this in the equation: "53in - W = L"
We can find the value of L:
53in - 30in = 23in = L
Then we have:
W = 30in
L = 23in
Find an equation of the line passing through the point ( - 12,
5) and perpendicular to - 12x – 3y = 12.
1]
1]
Write your answer in slope-intercept form.
The scale on a map is 1in.=20mi. if the distance between two cities on the map is 2.5 inches how far apart are the actual cities?
Answer:
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▀█▌░░░▄░▀█▀░▀ ░░ Copy and paste him so he can take over brainly.
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Step-by-step explanation:
Identify the equation of the circle B that passes through (5,1) and has center (3,0).
Answer:
Are you saying look for the slope? because if so can help
Step-by-step explanation:
Answer: (x − 3)2 + y2 = 5
a. (x + 3)2 + y2 = 5
b. (x − 3)2 + y2 = 25
c. (x − 3)2 + y2 = 5
d. (x + 5)2 + ( y + 1)2 = 25
Step-by-step explanation:
Begin by determining the length of the radius for the circle. A radius is a line segment from the center of the circle to any point on the circle. Find the length of the radius using the Distance Formula.
r= √(x2 − x1)2 + (y2 − y1)2
Substitute the given values for the center of the circle and the point on the circle into the distance formula and solve for r.
r= √( 5− 3)2 + (1 − 0)2
= √22 + 12
= √4 + 1
= √5
So, the length of the radius is √5 units.
The equation of a circle with center (h, k) and radius r is (x − h)2 + (y − k)2 = r2. Substitute the value for the radius and the coordinates of the center of the circle into the equation.
(x − 3)2 +(y − 0)2 = (√5)2
Simplify.
(x − 3)2 + y2 = 5 Therefore, the equation of the circle B that passes through (5, 1) and has center (3, 0) is (x − 3)2 +y2 = 5.
A. X=1
B. X=2
C. X=3
D. X=4
E. X=5
F. X=6
Answer:
1.) 5
2.) 6
3.) 2
4.) 2
5.) 2
6.) 5
x^2/3=12
Plz I need help with this ASAP, it’s solving quadratic functions by square roots by the way
Answer:
this is easy. all you have to do is multiply the denominator (3) by the outside number (12) to get 36. this leaves the equation being x^2 = 36. now you just find the square route of 36 (which is 6).
Step-by-step explanation:
x^2/3 = 12
12 x 3 = 36
x^2 = 36
/36 = 6
x = 6
Step-by-step explanation:
explanation is on the picture
PLZ HELP I DONT UNDERSYAND
cait has a 300-centimeter ribbon that cut into smaller pieces for decorations select all the ribbon lengths that could be cut from the original ribbon.
A. 1.8 meters and 110 centimeters
B. 200 centimeters and 2 meters
C. 3 meters anfd115 centimeters
D. 17 centimeters and 2.9 meters
E. 0.63 meters and 240 centimeters
F. 192 centimeters anf 0.19 meters
(suggested by my sister plz help her ty)
Answer:
The answer is letter A and letter F.
Step-by-step explanation:
The question is asking if any of these choices are less than 300 centimeters. To find this out, first, you have to convert the meters to centimeters, to make it easier. (1 centimeter is equal to 0.01 meters) Multiply the meters by 100. For example 1.8m x 100 = 180cm. Do the rest for the other meters and then add them to the centimeters. Example: 180cm + 110cm = 290cm, which is less than 300cm.
Solve the system and find the values of x and y
Answer:
x = [tex]\frac{(a+b)}{2}[/tex]
[tex]y=\frac{a-b}{2}[/tex]
Step-by-step explanation:
System of equations has been given as,
x + y = a ----------(1)
x - y = b ---------(2)
By adding equation (1) and (2)
(x + y) + (x - y) = a + b
2x = a + b
x = [tex]\frac{(a+b)}{2}[/tex]
By substituting these values in equation (2),
x - y = b
[tex]\frac{a+b}{2}-y=b[/tex]
[tex]\frac{a+b}{2}-b=y[/tex]
[tex]\frac{a+b-2b}{2}=y[/tex]
[tex]\frac{a-b}{2}=y[/tex]
Last year the schools newspaper so if full page ad for $16.50 each of H half page is $9.60 each day school they plan to increase the cost of 8 x 50% which expressions represent the total amount the school newspaper will earn from selling the same number of four and half page ad this year
Question isn't well formatted, however. From what can be gathered form the question :
Options are given
Answer:
4(1.5 * 16.50) + (1.5 * 9.60)
$113.40
Step-by-step explanation:
Last year:
Cost of full page ad = $16.50
Cost of half page ad = $9.60
50% increase in ad price this year :
Price, this year :
Full page = 1.50 * 16. 50 = $24.75
Half page = 1.50 * $9.60 = $14.4
Expression :
4(1.5 * 16.50) + (1.5 * 9.60)
Cost of a 4 and 1/2 page ad :
Full page = 4 * $24.75 = $99
Half page = 1 * $14.4 = $14.40
Total cost = $(99 + 14.40) = $113.40
The meadian of 26 29 31 33 36
..................................................................
One side of a rectangle is 3 m more than the other. If the perimeter of the rectangle is 30 m, what are its dimensions? *
Answer:
the length— 6
width— is 9
Step-by-step explanation:
you said One side— 3m MORE
so we will consider the length Number as X
we will consider width As three plus X
- You want to know the Perimeter. So we have to
add.
— so the expression is 3+3+x+x+x+x = 30
it is then simplified to 6+4x= 30
then we should be able to find out the X which is 6
when we substitute the values with dimensions, you will get
your final Answer
I hope This Helped!
10. 12. 17
-- + -- + --
4. 6. 12
Answer:
Step-by-step explanation:
I take it that what you mean is
10/4 + 12/6 + 17/12
Change all the questions so that their denominators are 12
10*3 / 4*3 + 12*2 / 6*2 + 17/12
30 / 12 + 24/12 + 17/12
(30 + 24 + 17)/12
71 / 12
5 11/12
5.917
Round 245,675 to the nearest hundred thousand
The solution is, Rounding off 245,675 to the nearest hundred thousand is: 246000.
What is round off?Rounding off means a number is made simpler by keeping its value intact but closer to the next number. It is done for whole numbers, and for decimals at various places of hundreds, tens, tenths, etc.
here, given that,
Round 245,675 to the nearest hundred thousand
we know,
Anything at or above 50 gets rounded up.
49 and below gets rounded down.
so, we get,
here, to the nearest hundred thousand means 675 > 500
so, it will be 5,675 => 6000
we have,
Rounding off 245,675 to the nearest hundred thousand is:
246000
Hence, The solution is, Rounding off 245,675 to the nearest hundred thousand is: 246000.
To learn more on round off click:
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Natalie's aunt gave her $47 to spend on clothes at the mall. She bought 4 shirts that cost $4 each and a pair of pants that cost $13. How much money does Natalie have left to buy more clothes?
Answer:$18
Step-by-step explanation:4 * 4 = $16. One pair of pants = $13. 16 + 13 = $29. 47 - 29 = $18
hii please help i’ll give brainliest:)
Answer:
They most of the time used the ability to row ships to get to places
Step-by-step explanation:
They were more reliable to row ships to trade with other people because the Mediterranean Sea was critical to how they were able to trade.
more of my brothers wwork for yalll have fun and tysm!
Answer:
i cant wait to start are life together, with are son. im so thankful for u becca. ily
Step-by-step explanation:
7 point
10 The designers of a new website expect
the number of visitors to the site to
double each month. There were 600 visits
to the site the first month. Which function
can be used to predict the number of
visitors during month m?
F v(m) = 6000
Gv(m) = 600(2)
H vim) = 600 (3)
) v(m) = 600(4)
need help
Answer:
J *JJJJJJJJJJJJJJJJJJJJ
Which equation is equivalent to 5x – 4y = 8?
Answer:
you got it right
Step-by-step explanation:
you mathaway to get the answer
Christopher needs to buy wooden boardes to build a box that is 12 inches long, 6 inches wide, and 8 inches high. How many square inches of wooden boards is needed to build the box
Answer:
432 in²
Step-by-step explanation:
To Obtian the square inches of wooden boards required :
Area of box = 2(l * w) + 2(l * h) + 2(h * w)
Length = 12 ; width = 6 ; height = 8
Hence,
Area of box = 2(12 * 6) + 2(12 * 8) + 2(8 * 6)
Area of box = 2(72) + 2(96) + 2(48)
Area of box = 432 in²
Similar right triangles
Find the value of x.
Write the following expression using rational exponents. ^7√y^4= y^ The numerator of the exponent is Select a Value The denominator of the exponent is Select a Value.
Answer: The Numerator of The Exponent =4
The Denominator of The Exponent= 7
Step-by-step explanation:
Each of the figures are similar. Find the missing length
Answer:
? = 7 m
Step-by-step explanation:
6/18= ?/21
18? = 126
? = 7
Johnny bought 10 cupcakes for 12 dollars, how much would 15 cost?
Answer:
18
Step-by-step explanation
10=12
must mean 5=6
12+6=18
15=18
18 dollars
he also has diabetes and drinks diet coke
Help!! I’ll give brainliest!
Answer:
d
Step-by-step explanation:
stat edit but just use the formula y2-y1/x2-x1