Answer:
49
Step-by-step explanation:
I would add the tens place and ones place together. The tens place; is 30+10 (From the 3 and 1 in the tens place) and 5+4, which is 40+9, which is 49.
whats the sqaure root of 1386
Answer: " [tex]3\sqrt{154}[/tex] " ;
or, write as: " 37.229 " .
__________
Step-by-step explanation:
The digits of "1386" ;
add up to: " (1 + 3 + 8 + 6) " ;
= " (1 + 3) + 8 + 6 " ;
= " (4) + 8 + 6 ;
= " (4 + 8 + 6) " ;
= " (4 + 8) + 6) " ;
= " (12) + 6 "
= "18 " ;
"18" is divisible ("evenly") ; by both: "2" : {" 18 ÷ 2 = 9 ".} ;
and by: "3" : {" 18 ÷ 3 = 6 ".}
Note: If a number is "evenly divisible by both: "2" and "3" ; then said number is divisible by "6" ;
_________
Other: If the sum of the digits of a number result in a number that is evenly divisible by "9" ; then said number is evenly divisible by "9" ;
_________
The sum of the digits of "1386" is: "18" ;
and: the sum of the digits of: "18" ; ⇒ " 1 + 8 = 9" .
{and: " 9 ÷ 9 = 1 ".}.
_________
Note: If number that ends with the last 2 (two) digits; in consecutive order; in which, taken as a "separate number" , is evenly divisible by "4" ; then, the entire said number is evenly divisible by "4".
Note: The number given: "1386 " ; ends with: "86" ;
and: " 86 ÷ 4 = 21.5" ; so we know that:
"1386" is not evenly divisible by "4".
_________
Note: If a number ends with the digit: "5" ; or "0" ; then the number is evenly divisible by: "5" . The number: "1386" ; does not meant either of these criteria.
_________
Note: If a number ends with the digit: "0" ; then the number is evenly divisible by: "10" . The number: "1386" ; does not meant this criterion.
_________
Note: If a number ends with the last 2 (two) digits; in consecutive order; in which, taken as a "separate number" , is evenly divisible by "7" ; then, the entire said number is evenly divisible by "7".
Note: The number given: "1386 " ; ends with: "86" ;
and: " 86 ÷ 7 = 12[tex]\frac{2}{7}[/tex] " ; so we know that:
"1386" is not evenly divisible by "7".
_________
Note: If a number ends with the last 2 (two) digits; in consecutive order; in which, taken as a "separate number" , is evenly divisible by "4" ; then, the entire said number is evenly divisible by "4".
Note: The number given: "1386 " ; ends with: "86" ;
and: " 86 ÷ 4 = 21.5" ; so we know that:
"1386" is not evenly divisible by "4".
_________
Note: If a number ends with the last 3 (three) digits; in consecutive order; in which, taken as a "separate number" , is evenly divisible by "8" ; then, the entire said number is evenly divisible by "8".
Note: The number given: "1386" ; ends with: "386" ;
and: " 386 ÷ 8 = 28[tex]\frac{1}{4}[/tex] " ; so we know that:
"1386" is not evenly divisible by "8" ;
_________
Since: we know that "1386" is evenly divisible by "9" ;
and "9" is a perfect square;
{since: " 3² = 3 * 3 = 36 " ; and since: " [tex]\sqrt[]{9} = 3[/tex] " }.
Let's see what the other factor of "1386" is when "9" is a factor:
" 1386 ÷ 9 = 154 " ;
_________
So: √(154) ;
= √9 * √(154) ;
= 3 * √(154) ;
Let's look at the factors of 154:
_________
⇒ 1 & 154; 2 and 77;
List this factors of "154" as: 1, 2, 77, 154;
→ none of which are "perfect squares" ;
→ So, the answer is: " [tex]3\sqrt{154}[/tex] " ;
or: further calculate with a calculator:
→ " [tex]3 * \sqrt{154} =[/tex][tex]37.2290209379725698[/tex] " ;
→ round to: " 37.229 ".
_________
Hope this is helpful. Best wishes!
_________
What is the measure of the missing angle?
Answer: 60°
Step-by-step explanation:
triangles always equal 180°, in this case you’re looking at the entire triangle so
60°+35°+25° = 120
180-120 = 60°
the missing angle is 60°
hope this helps :)
Nolan has $540 to spend at a bicycle store for some new gear and biking outfits. Assume all prices listed include tax.
He buys a new bicycle for $263.94.
He buys 4 bicycle reflectors for $6.33 each and a pair of bike gloves for $35.58.
He plans to spend some or all of the money he has left to buy new biking outfits for $53.79 each.
Answer:
hii I am new can be friends
An account earns simple interest.
$600 at 5% for 2 years
a. Find the interest earned.
$=?
b. Find the balance of the account.
$?
Answer:
a= $60
b= $660
Step-by-step explanation:
0.05 x 600 = 30
30x2 =60
x^3+3x^2=24x+72 solve by factoring
Step-by-step explanation:
Irurjr8ri4b4 ririr 4 rikr r ririr r is the value of x in the equation 3 it is a good thing that you can use the rgb settings in the glorious model of your home and you will be able by the accounts department this is for the payable at on on Jan 1 2021 as I have not yet received the funds in the bank to pay the deposit for our deposit and the number y is greater than eight weeks notice and is a fat loss as brain is a fat loss for her outstanding amount but she will not be able to afford to pay for the correct answer and will not be able to make the payments to the base QR as I have not been paid for the last three months due to the formation of which substance of my
The neighborhood swimming pool is 14 feet long, 11 feet wide, and 3 feet deep. Which formula below should be used to find how much water the pool can hold?
A.
2(14 feet) × 2(11 feet) × 2(3 feet)
B.
2(14 feet) + 2(11 feet) + 2(3 feet)
C.
14 feet + 11 feet + 3 feet
D.
14 feet × 11 feet × 3 feet
Answer:
D. 14 feet × 11 feet × 3 feet
Step-by-step explanation:
The volume of a rectangular prism is the product of its dimensions:
V = LWH
V = (14 ft)(11 ft)(3 ft) . . . . . matches choice D
A boat traveled north for 28 miles, then turned x° southwest and traveled for 25 miles before stopping. When it stopped, the boat was 18 miles from its starting point. A triangle shows the course of a boat. Starting at the dock, it travels 18 miles to the left, then 25 miles up and to the right, and then 28 miles down and back to the dock. The angle between 25 miles and 28 miles is x degrees. Law of cosines: By how many degrees did the direction of the boat change when it made its first turn? Round to the nearest degree. 30 degrees 39 degrees 46 degrees 50 degrees.
Law of cosine is applicable to all the triangles. The value of the angle by which the boat turns is 39.195°.
What is the law of cosine?Law of cosine helps us to find the third side of the triangle when 2 sides and an angle are known. It is formulated as,
[tex]c=\sqrt{a^{2}+b^{2}-2 a b \cdot \cos \gamma}[/tex]
a, b, c is the sides of the triangle and,
[tex]\gamma[/tex] = angle opposite c
A.)
Given to us
A boat traveled north for 28 miles, then turned x° southwest and traveled for 25 miles before stopping.
When it stopped, the boat was 18 miles from its starting point.
According to the given statements, sides and angles can be written,
a = 25 miles
b = 28 miles
c = 18 miles
[tex]\theta = x^o[/tex]
Substitute the values,
[tex]c=\sqrt{a^{2}+b^{2}-2 a b \cdot \cos \gamma}[/tex]
[tex]18=\sqrt{25^{2}+28^{2}-2(25)(28) \cdot \cos \theta}\\\\\theta = 39.195^o[/tex]
Hence, the value of the angle by which the boat turns is 39.195°.
B.)
Given to us
Starting at the dock, it travels 18 miles to the left, then 25 miles up and to the right, and then 28 miles down and back to the dock.
The angle between 25 miles and 28 miles is x degrees.
According to the given statements, sides and angles can be written,
a = 25 miles
b = 28 miles
c = 18 miles
[tex]\theta = x^o[/tex]
Substitute the values,
[tex]c=\sqrt{a^{2}+b^{2}-2 a b \cdot \cos \gamma}[/tex]
[tex]18=\sqrt{25^{2}+28^{2}-2(25)(28) \cdot \cos \theta}\\\\\theta = 39.195^o[/tex]
Hence, the value of the angle by which the boat turns is 39.195°.
Learn more about the Law of cosine:
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Answer:
Its 39 degrees on Edge
Step-by-step explanation:
Your welcome
PLS HELP MEEEEEE Is Triangle M'S'V' a reduction or an enlargement of the original Triangle MSV?
In your answer, specify whether this dilation is a reduction or an enlargement and
explain how you know.
Answer:
reduction
Step-by-step explanation:
cause it is a smaller version
Answer:
its a reduction
Step-by-step explanation:
and because an enlargement scale factor is over 1 and a reduction scale factor is between 0 and 1 so the smaller trapezoid is a reduction because it isn't the original.
Tell whether the angles are vertical or adjacent. Then find the measure of x.
Answer:
adjacent. x=55
Step-by-step explanation:
Answer:
Adjacent
x=55
Step-by-step explanation:
Vertical angles are made by the same lines but are opposite of each other. These angles are not opposite, and thus they are not vertical. Adjacent angles, on the other hand, share a common side and vertex. In other words, they touch. So, since these share both a common side and vertex, they are adjacent.
Additionally, the large-angle (that contains the smaller, adjacent angles) is a right angle, meaning that it has a measure of 90 degrees. So, if we know that part of the angle is 35 degrees, then the missing angle must be equal to 90-35. 90-35=55 degrees.
Help me fast, please!!!!!!!!!!!!
I believe these are the answers:
1. True.
2. False.
3. False.
4. True.
Let me know if those are right. :)
Simplify: ∛(2) × 2^(-1/13) × ¹²√(32)
[tex]simplify : \sqrt[3]{2} \times {2}^{ - \frac{1}{13} } \times \sqrt[12]{32} \\ [/tex]
Step-by-step explanation:
Given that:
∛(2) * 2^(-1/13) * ¹²√(32)
= ∛(2) * 2^(-1/13) * ¹²√(2⁵)
[since, ⁿ√(a) = a^(1/n)]
= 2^(1/3) * 2^(-1/13) * 2^{5 * (1/12)}
= 2^(1/3) * 2^(-1/13) * 2^{(5*1)/12}
= 2^(1/3) * 2^(-1/13) * 2^(5/12)
[since, a^m * a^n = a^(m+n)]
= 2^{(1/3) - (1/13) + (5/12)}
Take the LCM of 3, 13 and 12 is 156.
= 2^[{(1*52) - (1*12) + (5*13)}/156]
= 2^{(52 - 12 + 65)/156}
= 2^{(117 - 12)/156}
= 2^(105/156)
Now reduce the power fraction in simplest form by cancelling method.
= 2^(35/52) (or)= {2^(35)}^(1/52) (or)
= ⁵²√{2^(35)}
Answer: Hence, the simplified form of ∛(2) * 2^(-1/13) * ¹²√(32) = ⁵²√{2^(³⁵)}.
Please let me know if you have any other questions.
Applying the law of indices to the roots, we have that
[tex]\sqrt[n]{x} = x^{\frac{1}{n} }[/tex]
So,
[tex]\sqrt[3]{2}[/tex] × [tex]2^{-\frac{1}{13} }[/tex] × [tex]\sqrt[12]{32}[/tex] = [tex]2^{\frac{1}{3} }[/tex] × [tex]2^{-\frac{1}{13} }[/tex] × [tex]32^{\frac{1}{12} }[/tex]
= [tex]2^{\frac{1}{3} }[/tex] × [tex]2^{-\frac{1}{13} }[/tex] × [tex](2^{5} )^{\frac{1}{12} }[/tex]
= [tex]2^{\frac{1}{3} }[/tex] × [tex]2^{-\frac{1}{13} }[/tex] × [tex]2^{\frac{5}{12} }[/tex]
Since we have the same base in all three numbers, we have that from the law of indices, [tex]a^{x}[/tex] × [tex]a^{y}[/tex] = [tex]a^{x + y}[/tex]
= [tex]2^{\frac{1}{3} }[/tex] × [tex]2^{-\frac{1}{13} }[/tex] × [tex]2^{\frac{5}{12} }[/tex]
[tex]= 2^{\frac{1}{3} + (-\frac{1}{13}) + \frac{5}{12} } \\= 2^{\frac{1}{3} - \frac{1}{13} + \frac{5}{12} }[/tex]
Taking L..C.M of the denominators of the exponents, the L.C.M is 156.
So,
[tex]2^{\frac{1}{3} - \frac{1}{13} + \frac{5}{12} }\\= 2^{\frac{52 - 12 + 5 X 13}{156} } \\= 2^{\frac{52 - 12 + 65}{156} }\\= 2^{\frac{40 + 65}{156} }\\= 2^{\frac{105}{156} }[/tex]
Simplifying the exponent, we have
[tex]2^{\frac{105}{156} } \\= 2^{\frac{35}{52} }[/tex]
So, [tex]\sqrt[3]{2}[/tex] × [tex]2^{-\frac{1}{13} }[/tex] × [tex]\sqrt[12]{32}[/tex] = [tex]2^{\frac{35}{52} }[/tex]
Learn more about indices here:
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PLS HELP I'LL GIVE U BRAINLIEST
The temperature falls from 15 degrees to -10 degrees. What is the difference in those temperatures?
Answer:
the answer is 7 degrees /j
A(-6, 7)
B(6)-1)
C(-2,-5)
What is the midpoint of AC?
A( -2,1)
B (-4,1)
C (-4,6) D(0,3)
Answer:
-4,6
Step-by-step explanation:
6 horizontally and -4 vertically
96+(-96)+32÷32-25×25
Answer:
2.1use bodmas
32/32=1
-25*25=-625
96+-96==0
ans=1-625
=-624
Answer:
- 624
Step-by-step explanation:
96+(-96)+32/32 - 25*25
-> 0+32/32-(25)(25)
-> 32/32 - (25)(25)
-> 1-(25)(25)
-> 1- 625
-> -624
For each value of v, determine whether it is a solution to 6v-8>22.
[tex]6v - 8 > 22 \\ 6v > 22 + 8 \\ 6v > 30 \\ v > \frac{30}{6} \\ v > 5[/tex]
ok but like any middle schooler can one of u guys help me on this problem bc when i do it my teacher says its wrong so what percent of 15 is 60 ?
Answer:
9
Step-by-step explanation:
How do we do this please help.
Answer: he has 30 sweets
Step-by-step explanation:
3:2 - five parts all together
50 divide 5 = 10
10 x 3 because the 3 in 3:2
=30
Which expression is equivalent to the expression below?
6r+3(3s+9r)
which one is it? SOS
Answer: 33r + 9s
Step-by-step explanation: First, we need to distribute
the 3 through both terms inside the set of parenthses.
Students will often multiply the 3 by the 3s but forget
to multiply the 3 by the 9r, beware of this mistake.
So we get 6r + 9s + 27r which simplifies to 33r + 9s.
The equivalent expression is 33r + 9s
How to determine the equivalent expression?The expression is given as:
6r + 3(3s + 9r)
Expand the expression
6r + 9s + 27r
Collect like terms
6r + 27r + 9s
Evaluate the like terms
33r + 9s
Hence, the equivalent expression is 33r + 9s
Read more about equivalent expressions at:
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Use the Side-Splitter Theorem to determine the missing lengths.
Mark brainliest unless you show your work!
Hi there!
The answer is →[tex]15 \sqrt{3}[/tex]←
(Check the attached image for the explanation)
Solve number 4 please.
Answer:
25%
Step-by-step explanation:
4/16 days were under 78 degress
what is 13/4 into a decimal
Answer:
3.25
Step-by-step explanation:
Answer:
3.25
Step-by-step explanation:
through ling division, the answer is 3.25.
A new car is purchased for $23,700 the value of the car depreciates at 13. 5% per year what will the value the car be to the nearest cent after 10 years
Answer:
Compound interest
$5557.88
Step-by-step explanation:
Everything starts at 100% and since it depreciates you subtract 13.5 from 100 =86.5% now we want percentage as a decimal so we divide by 100=0.865 our multiplier
Now you have the original amount that you purchased for times by the multiplier to the power of number of years=10
23700 times 0.865 power of 10
=5557.88
A trucking company makes 50 deliveries in 5 days.
How long will it take for 400 deliveries?
8 days
or
10 days
or
20 days
or
40 days
Answer: 40 days
Step-by-step explanation: 50 divided by 5 equals 10 so 10 divided by 400= 40
Answer:
this is very hard, Good luck
Mike and his friends will watch a concert this weekend. A concert ticket cost P 750.00 but for every 10 tickets you buy you will have a 15% discount. If they will buy 10 concert tickets, how much will they pay?
A. P 6 365
B. P 6 375
C. P 6 385
Answer:
B
Step-by-step explanation:
I need answers for these geometrical things
Yeah
Aruna heard about the book sale from Johannah and went to the bookstore the next day. She was saddened to learn when she got there that the books had been marked up $3.99 from their original prices. Find the total of the books (with tax 13%) now.
a) Stamped $18.99 b) One Crazy Summer $15.99 c) A girl named Disaster $21.99
Answer: For stamped, the answer is $25.96. For One Crazy Summer, the answer is $20.49. For A Girl Named Summer, the answer is $26.49.
Step-by-step explanation:
The equation is simple. Add the $3.99 to the original price, then add 13%.
X+3.99+13%, and X equals the original price.
Hope this helps!
Perimeter:
Area:
3.9 & 1.3
Answer:
1&0
Step-by-step explanation:
Enter a value for side 1 in metres with optional centimetres.
Enter a value for side 2 in metres with optional centimetres.
Click associated Get Results button.
Square metres (m2) and centimetres (cm2) remainder is shown.
Multiple calculations can be placed in the textbox below by pressing Move Results.
Multiple calculations total area is shown in the Grand Total Square Metres text box.
Expand & simplify
(x+3) (x+6)
Answer:
[tex]x^{2} +9x+18[/tex]
Explanation:
[tex]x(x+6)+3(x+6)\\x^{2} +6x+3(x+6)\\x^{2} +6x+3x+18\\x^{2}+9x+18[/tex]
What is the height of the triangular base? Show your work.
and What is the approximate amount of cardboard used to make the candy box?
Answer:
Hope it helps :)
Step-by-step explanation:
The volume of a triangular prism shaped box is 2,400 cubic centimeters.
Base of the triangle = 16cm
Sides of the triangle = 17cm
Length of the box = 20cm
Triangular prism
A triangular prism is a three-sided prism made of a triangular base and a corresponding side.
A. To find the height of the base = 3 x the volume divided by the base area = 15cm.
B. The approximate amount of card board used to make the candy box:
Using the lateral prism as the sides will be:
Lateral area = Perimeter of triangle X height of the prism
Lateral area = (16 + 17 + 17) X 20
Lateral area = 50 X 20
Lateral area = 1,000 cm2
Therefore, the answer is 1000cm2.
0
The diagonal of rectangke ABCD measures 2 inches in
kerath
What is the length of line segment AB?
B
O 1 inch
OV3 inches
60°
O4 inches
O 43 inches
30°
А
D
Answer:
Is there a picture that goes with this because we can't solve with the information given
Step-by-step explanation:
Please upload a picture or comment more details and I will edit my answer to solve Thanks :)
The length of the line segment AB is √3 inches.
What is Trigonometry?Trigonometry is a branch of mathematics that studies relationships between side lengths and angles of triangles.
Given, length of the diagonal of rectangle ABCD = 2 inches.
We have to find the length of the line segment AB.
We know, opposite sides of a rectangle are equal.
Thus, AB = CD
Now consider triangle DCB, which is a right angled triangle
In triangle DCB, angle C is 90°
Angle D is 30°
Angle B is 60°
By Pythagoras theorem,
sin θ = opposite/hypotenuse
sin 60° = CD/BD
√3/2 = CD/2
CD = 2(√3/2)
CD = √3
Thus, AB = CD = √3
Therefore, the length of the line segment is √3 inches.
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