Given:
Whole numbers are next to each other and they are called consecutive numbers.
To find:
The expression for the other number if the larger of two consecutive numbers is n.
Solution:
According to the given definition, whole numbers are next to each other and they are called consecutive numbers. It means the difference between two consecutive interest is 1.
Larger number - Small number = 1
[tex]n-\text{Smaller number}=1[/tex]
Add smaller number on both sides.
[tex]n=1+\text{Smaller number}[/tex]
Subtract 1 from both sides.
[tex]n-1=\text{Smaller number}[/tex]
Therefore, the expression for the other number is n-1.
Hi! I just need somebody to explain how this is done.
I don’t understand the process of this well and I cant find many videos that explain it. thanks!
Answer:
Exact form: x = [tex]\frac{10.8}{sin(57)}[/tex]
Rounded to the Nearest Tenth: x = 12.9
Step-by-step explanation:
In the right-angled triangle, we can use the trigonometry functions to find the length of a side or a measure of an angle
In the given figure
∵ ∠C is the right angle
∴ ΔACB is a right triangle
∵ m∠B = 57°
∵ AC = 10.8
∵ AC is the opposite side of ∠B
∵ AB is opposite to the right angle
∴ AB is the hypotenuse
∵ AB = x
→ We can use the function sine to find x
∵ sin∠B = [tex]\frac{opposite}{hypotenuse}[/tex]
∴ sin∠B = [tex]\frac{AC}{AB}[/tex]
→ Substitute the values of ∠B, AC, and AB in the rule of sine above
∴ sin(57°) = [tex]\frac{10.8}{x}[/tex]
→ By using cross multiplication
∵ x × sin(57°) = 10.8
→ Divide both sides by sin(57°)
∴ x = [tex]\frac{10.8}{sin(57)}[/tex]
∴ x = 12.87752356
→ Round your answer to the nearest tenth
∴ x = 12.9
Exact form: x = [tex]\frac{10.8}{sin(57)}[/tex]
Rounded to the Nearest Tenth: x = 12.9
What is the constant proportionality in the table below?
Answer:
1/2
Step-by-step explanation:
Y is half as large as x. I cant see the options but I know that 10/2=5, 6/2=3 and so on so i would go with 1/2
A bakery baked 16 pies in preparation for Thanksgiving. 3/4 of the pies were already sold. How many pies have been sold?
Answer:
12
Step-by-step explanation:
We have to find 3/4 th of 16
So it's 3/4 * 16 = 12
Q4: Write the equation in slope-intercept form of the line that is perpendicular to
the graph of each equation and passes through the given point.
y = -5x + 1; (2, -1)
Answer:
5y = x + 11
Step-by-step explanation:
Given parameters:
Equation of the line ;
y = -5x + 1
Coordinates = (2, -1)
Find the equation of a line perpendicular;
Solution:
A line perpendicular to y = -5x + 1 will have slope that is a negative inverse of the given one.
Equation of a straight line is expressed as;
y = mx + c
y and x are the coordinates
m is the slope
c is the y-intercept
So, the slope of the new line perpendicular is [tex]\frac{1}{5}[/tex] ;
Now let us find the y-intercept of the new line;
x = -1 and y = 2
2 = [tex]\frac{1}{5}[/tex] x (-1) + c
c = 2 + [tex]\frac{1}{5}[/tex] = [tex]\frac{11}{5}[/tex]
The equation of the new line is;
y = [tex]\frac{1}{5}[/tex]x + [tex]\frac{11}{5}[/tex]
or multiply through by 5;
5y = x + 11
I WILL MARK BRAINIEST
Answer:
x=20
4=140
1=40
Step-by-step explanation:
7x=2×+100
5×=100
×=20
4=7(20)=140
1=180-140=40
Answer:
x=20
m<4=140
m<1=40
Step-by-step explanation:
to figure out angle 1 just subtract 140 from 180
What is the scale factor and center of dilation?
Triangle abc is isosceles. Measure of angle a=3x+40, Measure angle c=x+50. Measure of angle a = degrees
Answer: the answer is 55°
Step-by-step explanation:
You equal the equations out and the number you get from doing that is the fill in for x and the you solve one of the equations replacing x with the number gotten
HELP PLZZZ i need it plz
PLS ANWSER QUICK TIMED ASSIGNMENT
Which equation represents a circle with a center at (2,-8) and a radius of 11
(x-8)^2+(y+2)^2=11
(x-2)^2+(y+8)^2=121
(x+2)^2+(y-8)^2=11
(x+8)^2+(y-2)^2=121
The second one, because when you square the right side of the equation you get 11 which is your radius. On the right side you get 2,-8 when you solve for the radius. aka solve for x and y
help please I’m struggling badly because Im bad at math
Answer:
40º
Step-by-step explanation:
if u look at the triangle it would show you
Answer:
40 degrees
Step-by-step explanation:
since JKM is congruent to PQR then,
Q is congruent to K so they have the same measure.
In the middle school debate club, 40% of the members are in sixth grade. If there are 12 sixth graders in the debate club, how many total members are there?
Answer 30
Step-by-step explanation:
I Just had a Test and it asked me that and I got an 100
PLEASE HELP ASAP I WILL GIVE BRAILY AND 25 POINTS... write an expression equivalent to 4x + 12 using the distributive property
Answer:4x + 12 = 2 ( 2x + 6)
Step-by-step explanation:
A veterinarian treated 7 dogs this morning. The list below gives the weights (in pounds) of each dog. , 6, 46, 21, 9, 21, 5143 Find the range of the data set.
Answer:
5137
Step-by-step explanation:
the table below shows different possibilites for the number of games a team would need to win to maintain a certain percentage of wins
Answer:
here hope this helps please mark brainly
Step-by-step explanation:
$24,000 for new Honda, 2.75% interest rate for 4 years. What is the monthly payment? ( Explanation needed)
Answer:
(Use the attached formula)
24,000 for 4 years (48 months) at 2.75% interest
We divide rate by 1,200 which equals 0.0022916667
Monthly Payment = 0.0022916667 + {(0.0022916667 / [(1.0022916667)^48 -1]} * 24,000
Monthly Payment = 0.0022916667 + (0.0022916667 / (1.1161375981 -1) * 24,000
Monthly Payment = [0.0022916667 + (0.0022916667 / 0.1161375981 ] * 24,000
Monthly Payment = [0.0022916667 + 0.0197323411 ] *24,000
Monthly Payment = 0.0220240078 * 24,000
Monthly Payment = 528.5761872 = 528.58 (rounded)
Step-by-step explanation:
Just answer number 1
M<7=30 ,m<2 ?
Answer:
Step-by-step explanation:
1). ∠7 ≅ ∠ 2 (alternate exterior)
m∠7 = m∠2 = 30°
2). ∠4 and ∠1 are supplementary angles
m∠1 = 180° - 72° = 108°
Given: AB ∩ GF = O, E ∈ interior of ∠GOB, H ∈ interior of ∠AOF. Without changing the picture indicate:
Answer:
Step-by-step explanation:
Given that
AB n GF = O
E ∈ ∠GOB
H ∈ ∠AOF
The we can say, using similar angles or triangles, that
BF = AG
EG = AH
BG = FA
In the past month, Boris rented 5 video games and I DVD. The rental price for each video game was $3.30. The rental price for the DVD was $4.70. What is the
total amount that Boris spent on video game and DVD rentals in the past. First person to answer correctly will be marked as brainliest ;)
Answer:
$21.2
Step-by-step explanation:
3.30*5+4.70*1=21.2
What is the length to XY? Enter only the number as an integer or decimal.
Answer:
11.25
Step-by-step explanation:
it is a dialation of 2.25:
12 x 2.25 = 27
and
8 x 2.25 = 18
so...
5 x 2.25 =
11.25
can someone please help just for a sec and help me with these questions. -7x = -91 and
0.5x + 1.75 = 10 and last one is
0.75h + 3 = 12
Answer:
13, 16.5, 12
Step-by-step explanation:
-7x= -91 divide both sides by -7 to isolate x
[tex]\frac{-7}{-7} x=\frac{-91}{-7}[/tex] any number divided by itself like in -7/-7 =1
x=13
0.5x + 1.75 = 10 subtract 1.75 from both sides
0.5x +1.75-1.75 =10 -1.75
0.5x = 8.25 divide by 0.5 both sides
[tex]\frac{0.5}{0.5} x=\frac{8.25}{0.5}[/tex]
x=16.5
0.75h +3=12 subtract 3 from both sides
0.75h = 12-3 divide both sides by 0.75
[tex]h= \frac{9}{0.75}[/tex] = 12
What is a number greater than 260 that rounds to 260
Answer:
263 (if u round to the nearest tens)
Step-by-step explanation:
Answer:
261, 262, 263, 264
Step-by-step explanation:
They are all higher and if you go to 5+ you round up.
Solve the equation -11<-x+2<3
Answer:
13 > x > -1
Step-by-step explanation:
-11 < -x + 2 < 3
~Subtract 2 both sides
-13 < -x < 1
~Divide -1 to both sides
13 > x > -1
Best of Luck!
What is the scale factor for the dilation of triangle ABC to produce triangle A’B’C’?
0.25, 0.5, 2, 3
What is the scale factor for the dilation of triangle ABC to produce triangle A’’B’’C’’?
0.25, 0.5, 2, 3
Answer:
.5 for the first blank
2 for the second blank
For every 2 hours, approximately $1,689 worth of product is sold to consumers. How much money will the company for an entire month (30 days)?
1,01340 cuase 1,689 times 2 equal 3,378 and times 30 equal 101340
PLEASE ANSWER THESE I'M NOT SURE HOW TO DO IT TYSMMMMM
Answer:
your answer is 234
Step-by-step explanation:
The total degree inside the triangle is 360.
Add 104 and 22 to gt 126, and subtract from 360 to get the angle value of x, which is 234 degrees.
Part B
Does this curved line represent a function? if not at what points does it fall the vertical line test?
Answer:
This graph does not represent a function. Two points where it fails the vertical line test are (0, 0) and (0, 1).
Step-by-step explanation:
This is the exact answer edumentum gave me. be careful, i got this wrong.
John wants to make a triangular garden. Which of the following are possible dimensions?
Answer: What are the choices? sorry I had to take up an answer, it wont let me exit out
Calculate the average speed of a train that
completed a 525 km trip in 4.7 h. Round
your answer to the nearest whole number.
Answer:
4
Step-by-step explanation:
Find the value of n. 103 × n = 630 The value of n is .
Answer:
The answer would be n=6.11
Step-by-step explanation:
The answer would be n=6.125
It is asking for the value of a variable, in this case, the variable is "n" and it can be found by isolating it on one side of the equation using basic mathematical operations such as division, multiplication, addition and subtraction. The question is asking to find the value of n, by solving the equation 103*n = 630.
To find the value of n, we can divide both sides of the equation by 103.
103 * n = 630
n = 630/103
n = 6.125
Therefore, The value of n is 6.125
Learn more about Algebraic Equations at
https://brainly.com/question/4344214
Whar is the square root of 9604?
Answer:
98
Step-by-step explanation:
the square root of 9604 is 98 which lie between 97 and 99