Here we will show you step-by-step with detailed explanation how to calculate 246 divided by 7 using long division.
Before you continue, note that in the problem 246 divided by 7, the numbers are defined as follows:
246 = dividend
7 = divisor
Step 1:
Start by setting it up with the divisor 7 on the left side and the dividend 246 on the right side like this:
7 ⟌ 2 4 6
Step 2:
The divisor (7) goes into the first digit of the dividend (2), 0 time(s). Therefore, put 0 on top:
0
7 ⟌ 2 4 6
Step 3:
Multiply the divisor by the result in the previous step (7 x 0 = 0) and write that answer below the dividend.
0
7 ⟌ 2 4 6
0
Step 4:
Subtract the result in the previous step from the first digit of the dividend (2 - 0 = 2) and write the answer below.
0
7 ⟌ 2 4 6
- 0
2
Step 5:
Move down the 2nd digit of the dividend (4) like this:
0
7 ⟌ 2 4 6
- 0
2 4
Step 6:
The divisor (7) goes into the bottom number (24), 3 time(s). Therefore, put 3 on top:
0 3
7 ⟌ 2 4 6
- 0
2 4
Step 7:
Multiply the divisor by the result in the previous step (7 x 3 = 21) and write that answer at the bottom:
0 3
7 ⟌ 2 4 6
- 0
2 4
2 1
Step 8:
Subtract the result in the previous step from the number written above it. (24 - 21 = 3) and write the answer at the bottom.
0 3
7 ⟌ 2 4 6
- 0
2 4
- 2 1
3
Step 9:
Move down the last digit of the dividend (6) like this:
0 3
7 ⟌ 2 4 6
- 0
2 4
- 2 1
3 6
Step 10:
The divisor (7) goes into the bottom number (36), 5 time(s). Therefore put 5 on top:
0 3 5
7 ⟌ 2 4 6
- 0
2 4
- 2 1
3 6
Step 11:
Multiply the divisor by the result in the previous step (7 x 5 = 35) and write the answer at the bottom:
0 3 5
7 ⟌ 2 4 6
- 0
2 4
- 2 1
3 6
3 5
Step 12:
Subtract the result in the previous step from the number written above it. (36 - 35 = 1) and write the answer at the bottom.
0 3 5
7 ⟌ 2 4 6
- 0
2 4
- 2 1
3 6
- 3 5
1
You are done, because there are no more digits to move down from the dividend.
The answer is the top number and the remainder is the bottom number.
Therefore, the answer to 246 divided by 7 calculated using Long Division is:
35
1 Remainder
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Consider a square-based straight pyramid. Suppose that the base is a square with sides 10 km long, and all other edges are 17 km long. Find an approximate value of the angle formed between the base and a triangular face. Present your answer in degrees, accurate up to four or more decimal places.
Answer:
72.06
Step-by-step explanation:
Given that :
Side Lenght, a = 10
Edge length, b = 17
Using Pythagoras :
h = height of pyramid
h = sqrt (b² - 1/2a²)
h = sqrt(17^2 - 10^2/2)
h = sqrt(289 - 50)
h = 15.46
Slant height :
L = sqrt(h² + a²/4)
L = sqrt(15.46² + 25)
L = sqrt(239 + 25)
L = sqrt(264)
L = 16.25
Sinα = h/L
α = sin^-1 (15.46/16.25)
α = 72.060933
= 72.06
The approximate value of the angle formed between the base and a triangular face is 72.0775°.
Let [tex]h[/tex] be the distance between the center of the square base and the midpoint of the side of the square and let [tex]H[/tex] the height of the triangular face of the pyramid. By properties of the square and the Pythagorean theorem we derive expressions for [tex]h[/tex] and [tex]H[/tex], respectively:
Square base
[tex]h = 0.5\cdot L[/tex] (1)
Triangular face
[tex]H = \sqrt{l^{2}-0.25\cdot L^{2}}[/tex] (2)
Where:
[tex]L[/tex] - Side length of the square base, in kilometers.[tex]l[/tex] - Remaining side length of the triangular face, in kilometers.Finally, by trigonometry we can derive an expression for the angle between the base and a triangular face ([tex]\theta[/tex]), in sexagesimal degrees:
[tex]\theta = \cos^{-1} \frac{h}{H}[/tex] (3)
If we know that [tex]L = 10\,km[/tex] and [tex]l = 17\,km[/tex], then the angle between the base and a triangular face is:
[tex]h = 5\,km[/tex]
[tex]H = \sqrt{17^{2}-5^{2}}[/tex]
[tex]H \approx 16.248\,km[/tex]
[tex]\theta = \cos^{-1} \frac{5\,km}{16.248\,km}[/tex]
[tex]\theta \approx 72.0775^{\circ}[/tex]
The approximate value of the angle formed between the base and a triangular face is 72.0775°.
We kindly invite to check this question on pyramids: https://brainly.com/question/16303112
11 more than x is less than. 3 (please)
Answer:
(11+x)-3
Step-by-step explanation:
11 more than x is another way of saying 11+x
And "less than 3" means subtracting 3 from the terms
So if you put that together it would be
(11+x) -3
Calculate the volume of the cone: 10 yd 3 yd
round to nearest tenth
Step-by-step explanation:
=23.6
[tex]v = \pi {r}^{2} \frac{h}{3} = \pi {1.5}^{2} \frac{10}{3} = 23.56 \: {yd}^{3} [/tex]
Candice is preparing for her final exam in Statistics. She knows she needs an 62 out of 100 to earn an A overall in the course. Her instructor provided the following information to the students. On the final, 200 students have taken it with a mean score of 54 and a standard deviation of 6. Assume the distribution of scores is bell-shaped. Calculate to see if a score of 62 is within one standard deviation of the mean.
Answer:
A score of 62 is not within one standard deviation of the mean.
Step-by-step explanation:
When the distribution is normal, we use the z-score formula.
In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the zscore of a measure X is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.
Mean score of 54 and a standard deviation of 6.
This means that [tex]\mu = 54, \sigma = 6[/tex]
Calculate to see if a score of 62 is within one standard deviation of the mean.
Is Z between -1 and 1 when X = 62?
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{62 - 54}{6}[/tex]
[tex]Z = 1.33[/tex]
So a score of 62 is not within one standard deviation of the mean.
Jeffrey needs $200 to buy a new iPod. Right now, he has $75. What percent of the $200 does he have?
PLEASE HELPPP
Answer:
40%
Step-by-step explanation:
Answer:
If you need help on further questions like this, divide what he has to what he needs or his goal
in order to get 37.5% you have to divide 75/ 200
You will get 0.357 and that is 37.5% this is ABOUT 40% but I reccomend putting 37.5% to be safe.
Warren was drawing a shape on the grid below. He started at (3,0) and drew a line to (3,5), then to (5,3), then to (7,5) and finally a line to (7,0). What was made after all the points were connected?
Answer:
M
Step-by-step explanation:
M
60% of the 7,000 runners in a marathon were women. How many women ran the marathon?
Answer:
4200
Step-by-step explanation:
7000 x 0.60 = 4200
A rectangle has the dimensions 2.3 x 2.1. If I want a rectangle that has the area 16 times the size of the original rectangle, what will be my new dimensions?
Answer:
Either 36,8 × 2,1 or 2,3 × 33,6
what 30 x 23 30 x 23
30 x 23 = 690
23 x 30 = 690
Answer: 690
Step-by-step explanation:
Now whats 34+35?
the equation y=36x represents the relationship between x the number of yards and y the number of inches
which ordered pairs represent the number of yards and the number of inches in the given equation? choose all that apply.
Answer: (2,72) (5,189
Step-by-step explanation:
I did the I Ready
Please, please, please, please help
Answer:
55%
Step-by-step explanation:
I divided 22 by 40 to get the percentage she got wrong
hope this is correct and helps :)
Answer:
The percentage is 55%
3 days 22 hours equals how many hours
Answer:
94 hoursStep-by-step explanation:
3 days = 3×24 =72total hours= 72 + 22 = 94What is equivalent to (9f + 12)*4)
Answer:
10
Step-by-step explanation:
Enter an equation for the word sentence. Use the variable n.
The sum of a number and 4.4 is 8.1.
Answer:
[tex]n + 4.4 = 8.1[/tex]
Step-by-step explanation:
We know we have to write an algebraic equation for the sentence - so "translate" the phrases of the sentence step-by-step. Let the unknown number be represented by the variable n, as the question states.
Start with the phrase "the sum of a number and 4.4." A sum comes as a result of adding numbers together - therefore the first part of the equation must be [tex]n + 4.4[/tex].
Next, the sentence says "is 8.1." The "is" indicates that the expression we just wrote equals something, so that number must be 8.1. Therefore, the whole equation must be [tex]n + 4.4 = 8.1[/tex].
There are 3 answers need help to get my grade up to a 70%
Answer:
From (2, 1) move up one and over four
A right triangle and some of its measurements are shown in this diagram. Based on the measurements shown in the diagram, what is the value of T? HELP HELP GOD IMMA FAIL PLZ THIS IS URGENT
Answer:
t = 6√3 mm
Step-by-step explanation:
The angles of the triangle are 30°, 60°, and 90°. That's lucky for you, because the sides of a 30°-60°-90° triangle are always in the ratio 1:√3:2
The side opposite the 90° angle is 12 mm, so the side opposite the 30° angle is 12/2 = 6 mm
t = side opposite the 60° angle = 6√3 mm.
The value of T is 6√3.
What is Trigonometry?One area of mathematics known as trigonometry examines the relationship between the sides and angles of a right triangle. The relationship between sides and angles is defined for 6 trigonometric functions.
We have,
Hypotenuse = 12 mm
Using Trigonometry
sin 60 = P/H
√3/2= P/12
12√3/2= P
P= 6√3
Thus, the value of T is 6√3.
Learn more about Trigonometry here:
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Solve system by using substitution: 5x + 3y = -4
y - 2x = 6
Answer:
x = -11/3, y = -4/3
Step-by-step explanation:
[tex]y-2x=6\\y = 2x + 6[/tex]
[tex]3(2x + 6) = -4\\6x + 18 = -4\\6x = -22\\x = -11/3[/tex]
[tex]3y = -4\\y = -4/3[/tex]
In a bag there are 3 red marbles, 2 yellow marbles, and 1 blue marble. What is the percent chance of a yellow marble being selected on the first draw?
Group of answer choices
Answer:
33.333333% (the 3 goes on forever)
Find the solution to the system of equations
Answer:
(6,30)
Step-by-step explanation:
This is where the two lines intersect. Also, we can verify our answer by plugging 6 in for x and 30 in for y.
Which values are solutions of the inequality 5 < y - 8? 8, 9, 13, 15, and 20. I could really use some help! :)
Answer:
15 and 20
Step-by-step explanation:
8-8 is not greater than 5
9-8 is not greater
13 -8 is 5, but not greater
What is the slope of the line below?
(5,5)
(5,-2)
A. zero
B. negative
C. undefined
D. positive
Answer:
Undefined
Step-by-step explanation:
Vertical lines cannot be functions, since they yield multiple y-values for one single x-value.
URGENT! Please answer!
Answer: 22/3
Step-by-step explanation:
So, the first step is to add 9/2 to both sides. We cant do that unless there is a common denominator between -8/3 and 9/2. I will leave the 1/4 alone because we will have to divide that later. When you divide a fraction, you multiply by the reciprocal, which doesnt require a change in denominator. That is my reason for not changing the 1/4.
The common denominator of the two would be 6.
[tex]-\frac{16}{6} =\frac{1}{4}x-\frac{27}{6}[/tex]
Add the 27/6 to both sides
[tex]\frac{11}{6}=\frac{1}{4}x[/tex]
Divide the 1/4 to both sides
[tex]x=\frac{11}{6}*\frac{4}{1} =\frac{44}{6}= \frac{22}{3}[/tex]
hi to u famous girl !!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Answer:
YEET
Step-by-step explanation:
Answer:kuktf
Step-by-step explanation:
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If you have 9/10 of a pound of granola, how many 1/5 pound bags can you fill?
you can fill 4 1/2 bags
but why u got so much granola lol
Answer:
4 full bags and 1/2 a bag
Step-by-step explanation:
GIVING BRIANLIEST
Find the coefficient of the given term in the specified row of Pascal's triangle.
row7, term 3
Answer:
28
Step-by-step explanation:
7C2
The 3rd term of 7th row of the Pascals triangle is 21.
We have a Pascal's triangle.
We have to determine the 3rd term of 7th row of this triangle.
What is Pascal's triangle ?A pascal's triangle is an arrangement of numbers in a triangular array such that the numbers at the end of each row are 1 and the remaining numbers are the sum of the nearest two numbers in the above row. The pascals triangle is shown below -
[tex]\begin{tabular}{rccccccccc}$n=0$:& & & & & 1\\\noalign{\smallskip\smallskip}$n=1$:& & & & 1 & & 1\\\noalign{\smallskip\smallskip}$n=2$:& & & 1 & & 2 & & 1\\\noalign{\smallskip\smallskip}$n=3$:& & 1 & & 3 & & 3 & & 1\\\noalign{\smallskip\smallskip}$n=4$:& 1 & & 4 & & 6 & & 4 & & 1\\\noalign{\smallskip\smallskip}\end{tabular}[/tex]
If we have to find the element or term at position - m in row number - n, than the element will be -
[n] C [m-1] = [n-1] C [m-2] + [n-1] C [m-1]
According to the question, we have to find the 3rd term of 7th row of this triangle. It can be found out using the formula -
[n] C [m-1] = [n-1] C [m-2] + [n-1] C [m-1]
We have - n = 7 and m = 3
[7] C [2] = [6] C [1] + [6] C [2]
[tex]$\frac{7!}{(7-2)!2!} = \frac{6!}{(6-1)!1!} + \frac{6!}{(6-2)!2!} = 6 + 15 = 21[/tex]
Hence, the 3rd term of 7th row of the Pascals triangle is 21.
To solve more questions on Pascals Triangle, visit the link below-
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PLEASE HELP!! 30 POINTS
What is the length of the hypotenuse of the triangle below?
512
9041
245
572
O A. 1
B. 252
C. 5
O O O O
D. 10
E. 10
Answer:
10 (D)
Step-by-step explanation:
do the Pythagorean theorem
Amanda and her brother, Brian, are making chocolate milk. Amanda mixes 1 ounce of chocolate syrup and 6 ounces of milk in her cup. Brian mixes 2 ounces of chocolate syrup and 10 ounces of milk in his cup. Whose milk is more chocolaty?
Answer:
Brians milk is more chocolaty
Step-by-step explanation:
Tom has a collection of 13 snakes, 4 of which are purple and 5 of which are happy. He observes that
all of his happy snakes can add,
none of his purple snakes can subtract, and
all of his snakes that can't subtract also can't add.
Which of these conclusions can be drawn about Tom's snakes?
A)Purple snakes can add.
B) Purple snakes are happy.
C) Snakes that can add are purple.
D) Happy snakes are not purple.
E) Happy snakes can't subtract.
9514 1404 393
Answer:
D) Happy snakes are not purple
Step-by-step explanation:
The first statement tells us all happy snakes can add.
The second statement tells us that all purple snakes can't subtract, and the third statement tells us that purple snakes also cannot add.
Therefore, we must conclude that happy snakes are not purple.
help PLZZ FAST
4 The side lengths of a square are each 5p. By adding 1 to the length and subtracting 1 from the width, a rectangle is made. What is the area of the rectangle?
4p2-2
0 25p2 + 1
25p2 - 10p - 1
25p - 1
its 25p^2-1
Step-by-step explanation:
the two sides are (5p+1) and (5p-1) so just multiply them
ntify each function if it is a polynon
1) P(x) = 5x +5x2+7
P(x) = 5x² + 5x + 7
"This is a polynomial because it is a 2nd degree trinomial or quadratic".
"Poly: meaning many, and nominal: meaning terms, combine to form the expression: "many terms".