Given:
A number when divided by 780 gives remainder 38.
To find:
The reminder that would be obtained by dividing same number by 26.
Solution:
According to Euclis' division algorithm,
[tex]a=bq+r[/tex] ...(i)
Where, q is quotient and [tex]0\leq r<1[/tex] is the remainder.
It is given that a number when divided by 780 gives remainder 38.
Substituting [tex]b=780,\ r=38[/tex] in (i), we get
[tex]a=(780)q+38[/tex]
So, given number is in the form of [tex]780q+38[/tex], where q is an integer.
On dividing [tex]780q+38[/tex] by 26, we get
[tex]\dfrac{780q+38}{26}=\dfrac{780q}{26}+\dfrac{38}{26}[/tex]
[tex]\dfrac{780q+38}{26}=30q+\dfrac{26+12}{26}[/tex]
[tex]\dfrac{780q+38}{26}=30q+\dfrac{26}{26}+\dfrac{12}{26}[/tex]
[tex]\dfrac{780q+38}{26}=30q+1+\dfrac{12}{26}[/tex]
Since q is an integer, therefore (30q+1) is also an integer but [tex]\dfrac{12}{26}[/tex] is not an integer. Here 26 is divisor and 12 is remainder.
Therefore, the required remainder is 12.
Find tan 0, where is the angle shown give an exact value not a decimal approximation plz help due soon !
Answer:
tanθ = [tex]\frac{15}{8}[/tex]
Step-by-step explanation:
let the unknown side be x , then
Using Pythagoras' identity in the right triangle
x² + 5² = 17²
x² + 25 = 289 ( subtract 25 from both sides )
x² = 225 ( take the square root of both sides )
x = [tex]\sqrt{225}[/tex] = 15
Then
tanθ = [tex]\frac{opposite}{adjacent}[/tex] = [tex]\frac{15}{8}[/tex]
Given the first term and the common difference find the first five terms and the explicit formula
a1 =-34 , d =-10
Answer:
[tex] a_{1} = -34,\: a_{2} = -44,\: a_{3} = -54,\: a_{4} = -64,\: a_{5} = -74[/tex]
____________________________________
[tex] a_{n} = -34\:–\:10(n-1) [/tex]
CD is a perpendicular bisector of chord AB and a chord through CD passes through the center of a circle. Find the diameter of the wheel.
Answer:
[tex]12\frac{1}{5}[/tex] in
Step-by-step explanation:
I don't know if you got this pic but this is the answer for this pic
-5(x+7)<-10 write an inequality for x
Answer:
x > -5
Step-by-step explanation:
[tex]-5(x+7)<-10\\x+7>2\\x>-5[/tex]
Answer:
x > -5
Step-by-step explanation:
-5 (x+7) < -10
The next step is to divide both sides by -5 and flip the sign
(x+7) > [(-10/(-5)]
x+7 > 2
Finally, subtract both sides by 7
x > 2-7
x > -5
In the diagram, the measure of angle 6 is 989
1/2
43
516
817
What is the measure of angle 7?
Answer:
82 degrees is the answer
Step-by-step explanation:
angle 6 and 7 are adjacent angles and adjacent angles add up to 180 deg. thus
angle 7 = 180 - 98 = 82 deg
The measure of ∠6 and ∠7 are on a straight line. This means there sum is equals to 180 degrees. Therefore, the measure of ∠7 is 82 degrees.
What is the sum of angle on a straight line?The sum of angle on a straight line is 180 degrees. This simply means the total angle on a straight line is 180 degrees.
∠6 = 98 degrees
Therefore,
∠6 + ∠7 = 180°(angles on a straight line)
∠6 = 98 degrees
Hence,
98 + ∠7 = 180
subtract 98 from both sides
98 - 98 + ∠7 = 180 - 98
∠7 = 82 degrees.
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Kendal is doing her science homework. For each problem, she uses 3/4 of a sheet of paper. How many sheets of paper will she need to complete 12 problems? * 1 ຄະແນນ A. 6 sheets B. 7 1/2 sheets C. 9 sheets D. 10 1/2 sheets
Answer:
C)
Step-by-step explanation:
3/4 · 12 = 9
Write the decimal -0.43 as a fraction in simplest form
Answer:
-0.43/100
Step-by-step explanation:
then divide those two numbers by a number that they both can be divided by/the GCF
solve for b (exact values) i got 2 sqrt 3 / 3 = b but i’m not sure if it’s right :(
Answer:
tan30°= opp÷adj = b÷1/2 =0.577=b÷0.5 then, b=0.2885
The perimeter of a rectangle is 42 cm and the area is 80 cm². Write an equation to model the situation and find the dimensions of the rectangle.
Answer:
16cm by 5cm
Step-by-step explanation:
P=2(l+w)
A= wl
80 factorization: 1, 2, 4, 5, 8, 10, 16, 20, 40, 80.
you then would have to find 2 numbers that would add up to make 42.
When you try 16*2+5*2= 32+10= 42 cm as your perimeter.
16*5= 80 cm^2 as your area.
The diagram shows a right-angled triangle.
hcm
12 cm
47°
What is the value of h?
Give your answer correct to 1 decimal place.
Answer:
[tex] \cos(47 \degree) = \frac{h}{12} \\ h = 12 \cos(47 \degree) \\ h = 8.2 \: cm[/tex]
you need to use cos
function
The table below shows the typical hours worked by employees at a company. A salaried employee makes $67,000 per year. Hourly employees get paid $25 per hour, but get $37.50 per hour for each hour over 40 hours.
Sun.
Mon.
Tues.
Wed.
Thurs.
Fri.
Sat.
0
10
8
8
7
6.5
4.5
Which of the payment options would you recommend to a new employee?
Answer:
n k
Step-by-step explanation:
jb
What is the equation of the line that passes through the point (-8,5) and has a slope of -1/4
Answer:
[tex]y=\frac{-1}{4} x+3\\[/tex]
Step-by-step explanation:
[tex](y-5)=\frac{-1}{4} (x--8)\\(y-5)=\frac{-1}{4} (x+8)\\y=\frac{-1}{4} x-\frac{8}{4}+5 \\y=\frac{-1}{4} x-2+5\\y=\frac{-1}{4} x+3\\[/tex]
Can somebody plz help answer these questions (only if u know how to do this) btw! P= probability anyway thanks :3
WILL MARK BRAINLIEST FOR WHOEVER CAN ANSWER THESE :DDD
Answer:
P(black): 4/9
P(yellow): 2/9
P(orange): 3/9
Step-by-step explanation:
There are 4 black cubes, 2 yellow cubes, and 3 orange cubes. Add all of the cubes together to know how many cubes there are total.
4+2+3 = 9
Now that you know there are 9 cubes, you see how many black cubes you can draw out of 9. You can draw 4 black cubes out of the 9 total cubes, so the probability is 4/9.
You see how many yellow cubes you can draw out of 9. You can draw 2 yellow cubes out of the 9 total cubes, so the probability is 2/9.
You see how many orange cubes you can draw out of 9. You can draw 3 orange cubes out of the 9 total cubes, so the probability is 3/9.
Answer:
5) 4/9
6) 2/9
7) 3/9
Mrs. Michael wanted to conduct a survey about how much time students spend on their phones. She
found 10 students on their phones and surveyed them. Is this random or non-random?
Answer:
it is random as they selected a condition that is very common now a days
Please help I’ll make you the brainiest (no link people please)
Answer:
Step-by-step explanation:
A=p+prt
A-p=prt
A-p/pr=t
the problitiy is that a sweet stawberry flavor is 0.8 what is the problity is that a sweet is orang flavor what is anwer
Answer:
0.2 or less
Step-by-step explanation:
since there is no explanation whether the rest of the sweets are orange or not, the probabilty of it is 1-0.8=0.2 or less
Answer:
[tex]\huge\boxed{Answer\hookleftarrow}[/tex]
Assuming that there are only 2 flavors of the sweet ⇻ strawberry & orange.
____________________
P (strawberry flavored sweet) = 0.8
P (orange flavored sweet) = ?
____________________
Now, we know that ➳ the value of probability ≤ 1. So, the probability of orange flavored sweets is less than 1.
____________________
So,
P (orange flavored sweet) = 1 - P (strawberry flavored sweet)
P (orange flavored sweet) = [tex]\large\bold{1.0 - 0.8}[/tex]
P (orange flavored sweet) = [tex]\large\bold{0.2}[/tex]
____________________
✐ The probability that the sweet is orange flavored is 0.2
____________________
ʰᵒᵖᵉ ⁱᵗ ʰᵉˡᵖˢ
# ꧁❣ RainbowSalt2²2² ࿐
please help me solve
Answer:
Step-by-step explanation:
take angle A as reference amgle
using cos rule
cos A=adjacent/hypotenuse
0.9659=c/25
0.9659*25=c
24.1475=c
What is the length of the hypotenuse? (giving brainliest and thanks to all!)
Answer:
Step-by-step explanation:
take 45 degree as reference angle
using sin rule
sin 45=opposite/hypotenuse
1/[tex]\sqrt{2[/tex]=13/hypotenuse
hypotenuse=13/[tex]\sqrt{2[/tex]
please help break it down
Answer:
18
Step-by-step explanation:
g(x) = x^2
g(3) = 3^2 =9
g(-3) = (-3)^2 = 9
g(3) + g(-3) = 9+9 =18
Answer:
18
Step-by-step explanation:
g ( x) = x²
g ( 3 ) = ( 3 )² = 9
g ( -3 ) = ( - 3 )²
g ( - 3 ) = 9
g( 3 ) + g ( -3 ) = 9 + 9 = 18
Simplify
[tex] \frac{6 { {}^{7} }^{} }{6 {}^{5} } [/tex]
Leaving answer in index form
Answer:
[tex]6^{7-5} = 6^2[/tex]
Step-by-step explanation:
Answer:
36.
Step-by-step explanation:
6^7 / 6^5
= 6^(7-5)
= 6^2
= 36.
Find the vertex of this parabola:
y = -2x2 + 4x - 10
9. How much greater is 0.05723 than 0.005? ?
Answer:
0.05223
Step-by-step explanation:
0.05723 is 0.05223 greater than 0.005.
What is decimal?
A decimal number is one in which the whole number component and the fractional component are separated by a decimal point. The decimal point is the dot seen in decimal numbers. The decimal point is followed by digits that represent a number less than one.
As an illustration, consider the decimal value 17.48, where 17 is the entire integer and 48 is the decimal portion.
When is some number greater?When one number exceeds another, the phrase "more than" is used. Even greater than is utilised to compare the two weights.
How to solve it?
Take the difference
0.05723-0.005=0.05223
Hence, 0.05723 is 0.05223 greater than 0.005.
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0
Homework Progress
107 / 285
A sequence has three terms.
Its term-to-term rule is
multiply by 6 and then add 13
a) The first term of the sequence is -2
Work out the third term.
b) The order of the three terms of the sequence is reversed.
Describe the term-to-term rule of the new sequence.
Submit Answer
Answer:
It's C
Step-by-step explanation: I took the test and got it wrong
The third term of the given sequence exists 19.
Term to term rule when the sequence [tex]$-2,1,19 \ldots .$[/tex] is reversed will be [tex]$\frac{a-13}{6}$[/tex].
What is a sequence?The sequence exists in a particular order in which connected things follow each other.
The term-to-term rule of the sequence stands 6a+13, where a stands for the first term First-term a = -2
Second term b will be [tex]$-2*6+13=1$[/tex]
The rule for the third term will be 6b+13, where b will be the second term. So the third term will be [tex]$6* 1+13=19$[/tex]
So, the sequence will be [tex]$-2,1,19 \ldots \ldots . .$[/tex]
If the order of the above sequence stands reversed, the new sequence will be [tex]$19,1,-2 \ldots \ldots .$[/tex]
If we subtract 13 from first term 19 and then divide by 6 we will get 1 which stands for the second term of the new sequence [tex]$19,1,-2 \ldots \ldots .$[/tex]
So a new term-to-term sequence rule will be [tex]$\frac{a-13}{6}$[/tex] where a stands for the first term.
Therefore, the third term of the given sequence exists 19.
Term to term rule when the sequence [tex]$-2,1,19 \ldots .$[/tex] exists reversed will be [tex]$\frac{a-13}{6}$[/tex].
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The table shows conversions for common units of length.
Unit of Length
Customary System Units
Metric System Units
1 inch
2.54 centimeters
1 foot
0.3048 meters
1 mile
1.61 kilometers
What is the conversion factor to convert kilometers to miles?
Answer:
1 kilometer
0.621371 miles
Step-by-step explanation:
Given data
In the given table we are presented with the conversion table for common units and we are required to present the conversion for kilometers to miles
Hence the conversion from kilometers to miles is presented below
1 kilometer
0.621371 mile
A pharmaceutical company interviews 12 people for eight openings in the research department of the company. 7 of the 12 people are women. If all 12 are qualified, in how many ways can the employer fill the 8 positions if
(a) the selection is random
Answer:
7
Step-by-step explanation:
A rectangular prism has a length of 18 meters, a height of 3 meters, and a width of 4 meters. What is its volume, in cubic meters?
Answer:
216m^3
Step-by-step explanation:
find the area of the face 12m
times the face by the length
18×12=216
Answer:
216 meters³
Step-by-step explanation:
L=18 H=3 W=4
V=LWH
V=(18)(4)(3)
V=216 meters³
Expand and simplify (X+2)(x+3)(x+6)
Answer:
x³ + 11x² + 36x + 36
Step-by-step explanation:
(x+2)(x+3)
x² + 3x + 2x + 6
x² + 5x + 6
(x² + 5x + 6)(x+6)
x³ + 6x² + 5x² + 30x + 6x + 36
x³ + 5x² + 6x² + 30x + 6x + 36
x³ + 11x² + 36x + 36
if you divide two real numbers the quotient is always a real number
The width of a rectangle measures (3s+t) centimeters,and it’s length measures (3s-9t) centimeters. Which expression represents the perimeter,in centimeters of the rectangle ?
Answer:
12s - 16t
Step-by-step explanation:
2(3s + t) + 2(3s - 9t)
6s + 2t + 6s - 18t
12s + 2t - 18t
12s - 16t
Answer:Perimeter of the rectangle =(12s -16t)centimeters.
Step-by-step explanation:
The perimeter of a rectangle is given as 2(l+w)
Given that width of the rectangle=(3s+t)centimeters. and
Length of the rectangle=(3s-9t)centimeters.
Solving we have
Perimeter= 2(l+w)
Perimeter=2(3s+t +3s-9t)
Perimeter=2(3s+3s -9t+t)
Perimeter=2(6s-8t)
Perimeter=(12s -16t)centimeters.
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solve for b: -5-b < 3
Answer:
b < -2
Step-by-step explanation:
-5 - b < 3
-5 - b + -5 < 3 + -5
b < -2