Step-by-step explanation:
Length = 19cm
Length is 5cm more than breadth i.e.
Breadth = 19 - 5 = 14cm
Area = Length x Breadth
= 19 x 14
= 266cm²
find the value of x and y if: (x-yi)+ 7-2i =9-i
Answer:
x=2, y=-1
Step-by-step explanation:
[tex](x+7)+(-y-2)i=9-i[/tex]
the (x+7) part corresponds to the 9 and the (-y-2) corresponds to the coefficien of i.
[tex]x+7=9[/tex]
[tex]x=2[/tex]
[tex]-y-2=-1[/tex]
[tex]y=-1[/tex]
1 Write the series 3 + 6x +9x2 +12x + ... with 45 terms in sigma notation.
Answer:
Step-by-step explanation:
It looks like every time the coefficient increases by 3 while the exponent increases by 1.
[tex]\\45\\\sum 3(n+1)x^{n}\\n = 0[/tex]
Notice it starts at zero so 3 is multiplied by (x+1) to make it start from 0
The exponent is simply n, because at the start is it zero [tex]x^0=1[/tex], then 1, then 2, so on.
The upper limit is 45 because 45 - 0 = 45 terms
It takes Madison 8 minutes 13 seconds to walk around the track at school. It takes James 7 minutes 31 seconds to walk around the track. How many more seconds does it take Madison to walk around the track than James? (1 minutes = 60 seconds)
PLS HELP FASt
Answer:
32
Step-by-step explanation:
1 minute and 22 seconds
What is the area of the triangle below?
Answer:
36
Step-by-step explanation:
1/2 × b× h
= 1/2 × 9×8
= 9×4
= 36 sq. in
On Monday, 248 students went on a trip to the zoo. All 6 buses were filled and 8 students had to travel in cars. How many students were in each bus?
Answer:
40 students in each bus.
Step-by-step explanation:
Subtract the 8 extra students from the total to get the total number of students who rode in buses. Then divide that total by 6.
248-8=240
240/6=40
40 students in each bus.
3) -5
A) quintic monomial
B) constant trinomial
C) constant monomial
D) quadratic monomial
Answer:
Constant monomial
Step-by-step explanation:
Monomial means that there is only one term, so constant trinomial cannot be correct.
Quintic monomials have a degree of 5 and quadratic monomials have a degree of 4, but this has a degree of zero, so this must be a constant monomial.
I hope this helps you. Have a nice day.
The ratio of dogs to cats at the local
shelter is 2 to 5. There are 20 dogs at
the shelter. What is the total number
of cats and dogs at the shelter?
A. 28
B. 50
C.
70
D. 8
Need
Answer:
B 50
Step-by-step explanation:
Option 1) 2/5 = 20/x | 20/2 = 10 so x = 10 | 5 times x 10 =50
Option 2) dogs 2 to cats 5 | 2/5 = 20/x | .40 = 20/x | .40x = 20 | x = 50
Option 3) you can look and see that 20 is 10 times more than 2 and therefore infer that x is 10 times more than 5 which is 50
Anyone knows the answer???
Answer:
351.9 m²
Step-by-step explanation:
[tex]SA=2\pi r^2+2\pi rh[/tex] where r is the radius of the base and h is the height of the cylinder
We're given the diameter of the base, which is 8 m. Therefore, the radius is 4 m (after dividing by 2).
Plug in 4 as r and 10 as h
[tex]SA=2\pi (4)^2+2\pi (4)(10)\\SA=2\pi (16)+2\pi (40)\\SA=32\pi +80\pi \\SA=112\pi[/tex]
Therefore, the surface area of the cylinder is approximately 351.9 m² after rounding to the nearest tenth.
I hope this helps!
5 in
1 in 3 in
1 in 1 in
3 in
5 in
1 in
3 in
What is the surface area of the solid?
O A. 15 square inches
OB. 40 square inches
O C. 23 square inches
D. 46 square inches
Rewrite the equation by completing the square.
x² +3x -28 = 0
Answer:
x = -7 and x = 4
Step-by-step explanation:
that's the answer
Which of the following is the equation of a line whose slope is 3 and which passes through the point (2,7)?
1. y=x + 3
2. y= 3x + 13
3. y=3x + 1
4. y= -3x + 5
Given:
Slope of a line = 3
Line passes through the point = (2,7)
To find:
The equation of the line.
Solution:
The point slope form of a line is:
[tex]y-y_1=m(x-x_1)[/tex]
Where, m is the slope of the line.
The line passes through the point (2,7) and slope of the line 3. So, the equation of the line is:
[tex]y-7=3(x-2)[/tex]
[tex]y-7=3x-6[/tex]
[tex]y=3x-6+7[/tex]
[tex]y=3x+1[/tex]
Therefore, the correct option is 3.
You borrow money for 4 years. The total amount you repay is $7,840, which includes $840 in simple interest. How much was the principal?
Answer:
$7,000
Step-by-step explanation:
$7,840 - $840 to get the principal value
$7000
Answer:
7000
Step-by-step explanation:
the repay amount - interest = principal
7840 - 840 = 7000
Amir subtracted a quantity from the polynomial 3x² + 8x - 16 and produced the expression x^2- 4. What quantity did Amir subtract? Explain how
you got your answer.
Answer:
[tex]2x^2+ 8x -12[/tex]
Step-by-step explanation:
Given
[tex]P = 3x^2 + 8x - 16[/tex]
[tex]Result = x^2 - 4[/tex]
Required
The quantity subtracted
Let the subtracted quantity be Q. So, we have:
[tex]P - Q = Result[/tex]
[tex]3x^2 + 8x - 16 - Q = x^2 - 4[/tex]
Collect like terms
[tex]Q = 3x^2 - x^2+ 8x - 16 + 4[/tex]
[tex]Q = 2x^2+ 8x -12[/tex]
The quantity subtracted is: [tex]2x^2+ 8x -12[/tex]
What is the radius?
What is the diameter?
What it the circumference? Use 3.14 for pi.
What is the area?
Use 3.14 for pi.
Answer:
Step-by-step explanation:
radius = 3mm
diameter = 6mm
circumference = 6 x 3,14 = 18.84 mm
area = 3^2 x 3,14 = 28.26 mm^2
What is the value of x?
Answer:
707,957
Step-by-step explanation:
x= 518*tan(42°) + 518*tan(25°) =518*(tan(42°)+tan(25°))≈518*1.367=707.957
Answer:
707,957
Step-by-step explanation:
If AC=22 BC=19 in a figure what is the radius?
Answer:
11.09units
Step-by-step explanation:
Find the diagram attached
The radius of the circle is line projecting from the center to the circumference. Hence AB is the radius of the circle.
To get AB, we will use the pythagoras theorem as shown;
Given
AC=22
BC=19
AC² = AB²+BC²
22² = AB²+19²
AB² = 22²-19²
AB² = 484-361
AB² = 123
AB = √123
AB = 11.09
Hence the radius of the circle is 11.09units
Please help me with this question.
Answer:
-7
Step-by-step explanation:
hope it helps
Plz help me this very important
If x varies directly as y, find x when y = 8.
x = 14 when y = -2
X=_____
Answer:
-56 maybe
Step-by-step explanation:
-2*-7=14
8*-7= -56
30 milliliters every 4 hours
Answer:
yes
Step-by-step explanation:
Write an inequality for the following problem. Use X as your variable. 10 less than 7 times a number is greater then 56.
Answer:
7x -10 > 56
Step-by-step explanation:
For this you simply write what the sentence states. Ten less means you are subtracting 10 from 7 times a number, x. So, 7x -10. The statement also says this is greater than 56, so put >56, for 7x-10>56.
Martin spent $2.60 on his lunch. Sandwiches cost $1.25. Milkshakes cost $0.65. How much MORE does a sandwich cost than a milkshake?
Answer:
0.60 more
Step-by-step explanation:
Sandwich: 1.25
Milkshake: 0.65
We need to find the difference between the 2
1.25 - 0.65 = 0.6
A sandwich costs 60 cents MORE than a milkshake
In how many ways can 5 people arrange themselves in a row for picture taking ?
Answer:
120 times
Step-by-step explanation:
There are 5 people to fill the first place, 4 remaining to fill the second, 3 remaining to fill the third, 2 remaining to the fourth place and only 1 remaining to fill the fifth. That means there are 5 factorial (5!) ways. 5! = 5 x 4 x 3 x 2 x 1 = 120.
the total cost of a $112.75 meal with a 20% tip
Answer:
$135.30
Why:
Take the 112.75 and multiply it by 1.2, or in other words 120%. You get 135.3, or in a money situation, $135.30. Good luck.
a + b - b =
what is it plzz help
Answer:
a + b - b = a
Step-by-step explanation:
HELP I’M SUFFERING FROM THESE MATH PROBLEMS I need to get them done as soon as possible. *cries* please look at my other questions to see the problems
Answer:
Ok so I'm going to put the answer like this
1 3
2 4
1. Already answered
2. Acute, isosceles, 75
3. Right, Scalene, 97
4. Obtuse, Scalene 116
Aight onto number 2
Can someone tell me the answers
Answer:
3rd one is correct
Step-by-step explanation:
if f(7)=20, write the corresponding ordered pair
Answer:
(7,20)
Step-by-step explanation:
Oftentimes we write [tex]y=f(x)[/tex]. This suggests that [tex]x=7[/tex] and [tex]y=20[/tex]. Therefore, the ordered pair is [tex](x,y)=(7,20)[/tex].
Write the equation in standard form for thelcircle with center (-8, -1) and radius 4
9514 1404 393
Answer:
(x +8)^2 +(y +1)^2 = 16
Step-by-step explanation:
The standard form equation for a circle with center (h, k) and radius r is ...
(x -h)^2 + (y -k)^2 = r^2
For your center and radius, the equation is ...
(x -(-8))^2 +(y -(-1))^2 = 4^2
(x +8)^2 +(y +1)^2 = 16
A car dealer acquires a used car for $14,000, with terms FOB shipping point. compute total inventory costs assigned to the used car if additional costs include $100 for transportation-in, $120 for shipping insurance, $970 for car import duties, $180 for advertising, $1,800 for sales staff salaries and $190.00 for Trimming shrubs.
answer
3360
mark me as brainiest