Find the value of side A on the right triangle, given that side B = 12 cm and side C = 15 cm

Answers

Answer 1

{a}^{2} + {b}^{2} = {c}^{2} [
15-12=3
3sqared=9

A=9

Related Questions

find the area of each triangle 10inches 9inches

Answers

14) area of triangle = 1/2bh

1/2 (9)(10)
1/2 (90)
45 in²

15)

1/2 (25)(7)
1/2(175)
87.5 m²

the standard addition algorithm below is being used to add three two-digit numbers 4z + 27 + x 5 equals y 14. If x, y, and z each represent a different digit from 0 to 9 what is the value of (x)(y)(z)?

Answers

For the units positions of all numbers we have:
[tex]z+7+5=4 \\ z+12=4[/tex]
From this we can conclude that total sum of these three numbers is 14. Number 1 we carry to next step. So we have:
[tex]z+12=14 \\ z=2[/tex]

For the tens positions of all numbers we have:
[tex]4+2+x+1=1 \\ 7+x=1[/tex]
The extra number 1 on left side comes from the carry from last step. Similar to ones position we know that total sum is 11.
[tex]7+x=11 \\ x=4[/tex]

Now we insert x and z to find out y:
[tex]42+27+45=y14 \\ 114=y14 \\ y=1[/tex]

Now we need to find out the product of these three numbers:
[tex]x*y*z=4*1*2=8[/tex]

What is the value of m in the equation 1/2m-3/4m=16, when n = 8

Answers

I assume that one of the two "m"s in the given is actually an n, to which I can substitute n = 8.

If this is (1/2)m -(3/4)n = 16:
Then (1/2)m - (3/4)(8) = 16
(1/2)m = 22
m = 44

But if this is (1/2)n -(3/4)m = 16:
Then (1/2)(8) - (3/4)m = 16
4 - (3/4)m = 16
(3/4)m = -12
m = -16

TOAD is a quadrilateral with vertices (9, 10), (18, 10), (14, 5), and (5, 5), respectively. The diagonals intersect at Point S.
Use the given information to:
a) classify the quadrilateral as a parallelogram, square, rectangle or rhombus
b) determine the intersection of the diagonals
c) use the distance formula to prove that the diagonals are bisectors of each other

Answers

A. parallelogram
B. I believe it'd be around (11.2,7.5)
C. √(10-5)^2+(9-4)^2 = 21, so yes they bisect

⇒Plotting the Quadrilateral on two Dimensional Plane

And finding the diagonal of Quadrilateral bisect each other.

If you will look at the Quadrilateral, none of the interior angle is of 90°, so it can't be Square or Rectangle.

Finding the length of two Adjacent Sides

[tex]TO=\sqrt{(18-9)^2+(10-10)^2}\\\\TO=9 \text{Unit}\\\\OA=\sqrt{(18-14)^2+(10-5)^2}\\\\OA=\sqrt{4^2+5^2}\\\\OA=\sqrt{41}[/tex]

As, the Length of Adjacent sides are not equal,so it can't be a Rhombus.

The Given Quadrilateral ,"TOAD" is a Parallelogram.

⇒The Point of Intersection of both Diagonal can be Obtained by

[tex]=(\frac{x_{1}+x_{2}}{2},\frac{y_{1}+y_{2}}{2})\\\\\text{Point P}=(\frac{14+9}{2},\frac{5+10}{2})\\\\\text{Point P}=(\frac{23}{2},\frac{15}{2})\\\\\text{Point P}=(\frac{18+5}{2},\frac{10+5}{2})\\\\\text{Point P}=(\frac{23}{2},\frac{15}{2})[/tex]

Intersection of both diagonals is same, diagonals bisect each other.

Point of Intersection of Diagonal is Point P

[tex]=(\frac{23}{2},\frac{15}{2})[/tex]

Part C

Distance formula

[tex]=\sqrt{(x_{2}-x_{1})^2+(y_{2}-y_{1})^2)}\\\\TP=\sqrt{(\frac{23}{2}-9)^2+(\frac{15}{2}-10)^2}\\\\TP=\sqrt{\frac{25}{4}+\frac{25}{4}}\\\\TP=\frac{5}{\sqrt{2}}\\\\PA=\sqrt{(\frac{23}{2}-14)^2+(\frac{15}{2}-5)^2}\\\\PA=\sqrt{\frac{25}{4}+\frac{25}{4}}\\\\TP=\frac{5}{\sqrt{2}}\\\\PD=\sqrt{(\frac{23}{2}-5)^2+(\frac{15}{2}-5)^2}\\\\PD=\sqrt{\frac{169}{4}+\frac{25}{4}}\\\\PD=\frac{\sqrt{169+25}}{2}\\\\PD=\frac{\sqrt{194}}{2}\\\\PO=\sqrt{(\frac{23}{2}-18)^2+(\frac{15}{2}-10)^2}\\\\PO=\sqrt{\frac{169}{4}+\frac{25}{4}}\\\\PO=\frac{\sqrt{169+25}}{2}\\\\PO=\frac{\sqrt{194}}{2}[/tex]

→DP=PO

→PT=PA

Length of Segments from point of intersection of two diagonal is same.So, Diagonal are bisector of each other.

which least to greatest 125% 6/5 1.22

Answers

6/5, 1.22, 125%

Hope I helped!

Let me know if you need anything else!

~ Zoe (Rank:'Genius')

Final answer:

To compare the numbers 125%, 6/5, and 1.22, they were all converted to decimal form which revealed the least to greatest order as 1.22, 6/5, and 125%.

Explanation:

To arrange the numbers 125%, 6/5, and 1.22 from least to greatest, we first need to express all of them in the same format for an accurate comparison. Let's convert each number to a decimal:

125% as a decimal is 1.25 (since 100% is equal to 1, hence 125% is 1.25).6/5 as a decimal is 1.2 (6 divided by 5 equals 1.2).1.22 is already in decimal form.

Now, we can easily compare:

1.226/5 (1.2)125% (1.25)

The arrangement from least to greatest is 1.22, 6/5, 125%.

A rectangle has vertices A ( 1, 2) B (1, 7), C ( 4,7) and D (4, 2). What is the area of the rectangle

Answers

The area of the rectangle is 15. To find the area of a rectangle or square the equation is Base*Height. When you graph this you can see the points and count the distance between them which is 3 as your base and 5 as your height. This is my guess.

Which represents the solution set of 5(x+5)<85?

A.) x<12
B.) x>12
C.) x<16
D.) x>16

Answers

Isolate the VARIABLE by dividing each side by FACTROS that don't contain the VARIABLE .
YOUR answer is x<12

The correct answer is: [A]: " x < 12 " .
__________________________________________________
Given:
__________________________________________________
" 5(x + 5) < 85 " ; Simplify/ solve for "x" ;
__________________________________________________
Method 1)
__________________________________________________

Note the "distributive property of multiplication" :
__________________________________________________
a(b + c) = ab + ac ;

a(b – c) = ab – ac .
__________________________________________________
So, take the "left-hand side" of the inequality; and expand:
__________________________________________________
→ 5(x + 5) = (5*x) + (5*5) = 5x + 25 ;

Now, rewrite the inequality:

  → 5x + 25 < 85 ;

Subtract "25" from each side of the inequality ;

  → 5x + 25 – 25 < 85 – 25 ;

to get:
_______________________________________
  → 5x < 60 ;

Divide each side of the inequality by "5" ;

  → 5x / 5 < 60 / 5 ;

  → x < 12 ; which is: Answer choice: [A]: " x < 12 " .
_______________________________________

Method 2)
_______________________________________
Given:
_______________________________________
" 5(x + 5) < 85 " ; Simplify/ solve for "x" ;
_______________________________________
Divide EACH SIDE of the equation by "5" ;

[5(x + 5) ] / 5 < 85 / 5 ;

to get:

  → x + 5 < 17 ;

Subtract "5" from EACH SIDE of the inequality:

→ x + 5 – 5 < 17 – 5 ;

to get:

→ x < 12 ; which is: Answer choice: [A]: " x < 12 " .
_________________________________________________

Jan is saving for a skateboard. She has saved $30 already, which is 20% of the total price. How much does the skateboard cost

Answers

She has $30=20% of the total price so basically add 80% to 30. The total amount the skateboard costs is $150.00 she still needs $120.00 more

A business woman invests $38,000 into two accounts: one that returns 3.5% annual interest and one that returns 6.5% annual interest. After 1 year, she earns $1960. How much did she invest in each account?

$23,000 in the 3.5% interest account, $15,000 in the 6.5% interest account.

$26,000 in the 3.5% interest account, $12,000 in the 6.5% interest account.

$12,000 in the 3.5% interest account, $26,000 in the 6.5% interest account.

$17,000 in the 3.5% interest account, $21,000 in the 6.5% interest account.

Answers

$17,000 in the 3.5% interest account, $21,000 in the 6.5% interest account.

Final answer:

The business woman invested $17,000 in the 3.5% interest account and $21,000 in the 6.5% interest account.

Explanation:

To find how much she invested in each account:

Let x be the amount invested at 3.5% interest and y be the amount at 6.5%.

We can set up a system of equations like this: x + y = $38,000 and 0.035x + 0.065y = $1,960.

Solving this system, we get x = $17,000 and y = $21,000.

Therefore, investment is $17,000 in the 3.5% interest account, $21,000 in the 6.5% interest account

For the data in the table, does y vary directly with x? If it does write an equation for the direct variation. x 2 6 10 y 5 15 25

Answers

The data does show direct variation (otherwise known as direct proportionality);
2 + 4 = 6 5 + 10 = 5
6 + 4 = 10 15 + 10 = 25
The proof is that everytime we increase x by a number (in this case 4), y also increases by some number (in this case 10);
So increasing x by 4, we increase y by 10;
The equation of data that shows direct proportionality is that of a line;
The gradient (represented by m) of the line is going to be how much y changes when we change x;
Using the information above, we can deduce the gradient (m) like so:
m = +10/+4
= 5/2
Now, we use the formula for the equation of the line:
y - y₁ = m(x - x₁)
y - 5 = 5/2(x - 2)
2(y - 5) = 5(x - 2)
2y - 10 = 5x - 10
2y = 5x
y = 5x/2

A pitcher contains 3 1/2 pints of lemonade. Susan pours 5/8 of a pint into a glass, and Mateo pours 1/2 pint into a glass. How much lemonade is left in the pitcher?

Answers

we have 3 1/2 pints of lemonade
3 1/2- 1/2 (Mateo)=3
3- 5/8= 2 8/8- 5/8=2 3/8 lemonade left

CAN I GET SOME HELP (RIGHT ANSWER)

Answers

it can be found using the formula 1/2 |major arc - minor arc|

1/2 |105 - 23|
1/2 |82|
41

105-23= 82
82/2= 41
An easier way :)

Three cards are drawn from a deck without replacement. what is the probability that all three cards are clubs?

Answers

b.0.0129 is the answer

Why is 1/2 not useful as a benchmark to compare 5/8 and 9/10?

Answers

1/2 would not be a useful benchmark to compare these 2 fractions because both of them are greater than half. The benchmark fraction 1/2 is most useful when one fraction is less than half and the other more than 1/2. 5/8 is more than 4/8(1/2), and 9/10 is more than 5/10(1/2).

Which expression is equivalent to (x^1/2y^16)^1/2

Answers

xy^16 / 4

I don't really know how to explain it, but this is the answer

What similarity statement can you write relating the three triangles in the diagram ?

Answers

answer is B.
triangle RST ~ triangle RUS ~ triangle SUT

The similarity statement that can be written is;

D(RST) ~ D(RUS) ~D(SUT)

Discussion:

The triangles as represented are right-angled triangles.

In essence, they all have one of their angles to be 90°.

The similarity statement therefore involves the right-angles and is thus; D(RST) ~ D(RUS) ~D(SUT)

Answers

If the system is fair, one would expect that the same proportion of students received their requested math class, independent of whether they are on the honor roll or not. We have that from the 356 students on the honor roll, 315 received their requested class. This percentage is around 88.5%, hence 88,5% of honor students get the class they requested. Of the 144 students not on the honor roll, 64 get their requested class. The ratio is 64/144=44.4%. We see that the percentage is a lot smaller, almost half of the percentage for the honor students. Hence, we have that there is actually injustice since if you are an honor student you have almost double the chance to get your preferred class.

a coin dealer buys
a coin for $850 and sells it for $1190. Find the percent of change.

Answers

(percent change) = ((new value)/(old value) -1)*100%
.. = (1190/850 -1)*100%
.. = 40%

The coin was sold for a price 40% higher than its purchase price.

There are c players on the Cougars hockey team. The team scored a total of 36 goals this season. One of the players, Matthew, scored 2 more goals than the average per player.

Answers

[tex]36 \div 2 = 16 \\ 16 - 2 = 14[/tex]
so c=14

At the end of each year, how much money would you earn in interest if you invested $3,500 and earned 4.5% simple interest?

Answers

$157.50 would be the amount that you earn in interest

Jessica is making a repeating pattern following the rule “triangle square circle what will be the 50th shape in the pattern?

Answers

Final answer:

The 50th shape in the repeating sequence of shapes (triangle, square, circle) is a square. This conclusion is reached by dividing 50 by the 3 shapes in the sequence and noting that the remainder indicates the position in the sequence.

Explanation:

The problem presented is one of patterns and sequences, a common topic explored in middle school mathematics. The repeating pattern here consists of three shapes: a triangle, a square, and a circle. This sequence of three shapes continues indefinitely.

To find the 50th shape in the sequence, divide 50 by 3. You'll get 16 remainder 2. This indicates that after 16 complete cycles of the pattern (each consisting of a triangle, square, or circle), the 50th shape is the 2nd shape in the next cycle - the square. Hence the 50th shape according to Jessica's rule is a square.

Learn more about Patterns and Sequences here:

https://brainly.com/question/31118056

#SPJ12

The 50th shape in the repeating pattern of Triangle, Square, Circle is a Square.

To find the 50th shape, we need to understand the cyclical nature of this pattern, which repeats every 3 shapes.

Step-by-Step Solution:

The pattern repeats every 3 shapes: Triangle (1), Square (2), Circle (3).To find the position of the 50th shape within this cycle, we calculate the remainder of 50 divided by 3:
50 ÷ 3 = 16 R2The remainder is 2, which means the 50th shape aligns with the 2nd shape in the pattern.

Therefore, the 50th shape is a Square.

Suppose ABCD is a rectangle. Find AB and AD if point M is the midpoint of
BC,AM ⊥ MD , and the perimeter of ABCD is 34 in..

Someone answered this question but Ad is not 4 and AB is not 9. . Thank you

Answers

we know that
Perimeter=2AB+2AD=34 in-----> AB+AD=17-----> AB=17-AD-----> equation 1

MA=MD
MA²=AB²+(AD/2)²
for the triangle AMD
AD²=[MA²+MD²]----> AD²=2*[MA²]----> AD²=2*[AB²+(AD/2)²]---> equation 2

I substitute 1 in 2

AD²=2*[(17-AD)²+(AD/2)²]----> AD²=2*[289-34AD+AD²+0.25AD²]

AD²=578-68AD+2.50AD²--------> 1.50AD²-68AD+578

1.50AD²-68AD+578=0

using a graph tool to solve the quadratic equation

see the attached figure

AD1=11.33 in

AD2=34 in----------is not solution because (AB+AD=17)

Solution is AD=11.33 in

AB=17-11.33--------> 17-11.33-----> AB=5.67 in

the answer is

AD=11.33 in

AB=5.67 in

Last year Milwaukee had the total of snow amounting to 92 inches . The normal fall is 52 1/4 inches . How much above normal was the snowfall last year .

Answers

Final answer:

The snowfall in Milwaukee last year was 39.75 inches above the normal amount, calculated by subtracting the normal annual snowfall from last year's total.

Explanation:

The student's question is related to subtraction of two amounts to find the difference between the actual snowfall and the normal snowfall in Milwaukee.

To determine how much above normal last year's snowfall was, we subtract the normal snowfall amount from last year's total snowfall.

Last year's snowfall in Milwaukee = 92 inches
Normal annual snowfall = 52 1/4 inches

To find how much above normal the snowfall was, we calculate:

92 inches - 52 1/4 inches = 92 inches - 52.25 inches

This equals 39.75 inches above normal snowfall.

-1 + 5 * 6 is less than 29

Answers

As an inequality it would be: -1 + 5 * 6 < 29

calculate the length of a scarf with sections if each section is 1/2 foot long

Answers

It’s six because, 1/2 is half. And a foot long is twelve inches. And half of twelve is six.

In your lab, a substances temperature has been observed to follow the function T(x)=(x-2)^3+8. The turning point of the graph is where the substance changes from a solid to a liquid. Using complete sentences in your written answer, explain to your fellow scientists how to find the turning point of this function.

Answers

To find the turning points, find the values of x where the derivative is 0.
T(x)=(x-2)^3+8
dy/dx=3(x-2)^2
equating the derivative to 0 we get
3(x-2)^2=0
(x-2)^2=0
x=2

Thus, turning point is at (2,0)

99 POINTS I WILL MARK BRAINILIEST:

Given: ABCD rhombus, AC:BD = 4:3
Perimeter ABCD = 20 cm
Find: Area of ABCD

Answers

Given that the perimeter of rhombus ABCD is 20 cm, the length of the sides will be:length=20/4=5 cmthe ratio of the diagonals is 4:3, hence suppose the common factor on the diagonals is x such that:AC=4x and BD=3xusing Pythagorean theorem, the length of one side of the rhombus will be:c^2=a^2+b^2substituting our values we get:5²=(2x)²+(1.5x)²25=4x²+2.25x²25=6.25x²x²=4x=2hence the length of the diagonals will be:AC=4x=4×2=8 cmBD=3x=3×2=6 cmHence the area of the rhombus wll be:Area=1/2(AC×BD)=1/2×8×6=24 cm^2

plz give him brainliest

What is the sum of each pair of binary integers?
a. 10101111 + 11011011
b. 10010111 + 11111111
c. 01110101 + 10101100?

Answers

Add digit by digit, from the right, just like any number, except that if it adds to 2, then put a zero and carry one (instead of carrying when it adds to 10 or more).

Example: < means carry, decimal equivalent for checking
1011+1111

1 0 1 1 (8+2+1=11)
+ 1 1 1 1 (8+4+2+1=15)
---<---<----<----<----
1 1 0 1 0 (16+8+2=26)

Proceeding similarly,
a. 10101111+11011011 = 110001010 (394)
b. 10010111+11111111 = 110010110 (406)
c. 01110101+10101100 = 10010001 (289)

Final answer:

The sums for the given pairs of binary integers are: a. 10101111 + 11011011 equals 110001010, b. 10010111 + 11111111 equals 110010110, c. 01110101 + 10101100 equals 100100001.

Explanation:

The sum of each pair of binary integers is calculated using binary addition rules, which are similar to decimal addition, but instead, you only have two digits, 0 and 1, and carry over whenever you add two 1's. Let's perform the calculations for each given pair:

a. 10101111 + 11011011 = 110001010
b. 10010111 + 11111111 = 110010110

c. 01110101 + 10101100 = 100100001

Remember to start adding from the rightmost digit (least significant bit) and move left, carrying over as necessary when the sum of two bits is 2 (binary 10).

A First City Bank accepted a $3,500, 5%, 120-day note dated August 8 from a Capstone Company in settlement of a past bill. On October 11, First City discounted the note at Park Bank at 6%.

a. What is the note’s maturity value? (Use 360 days a year. Do not round intermediate calculations. Round your final answer to the nearest cent.)
b. What is the discount period?
c. What is the bank discount? (Use 360 days a year. Do not round intermediate calculations. Round your final answer to the nearest cent.)
d.
What proceeds does First City receive? (Use 360 days a year. Do not round intermediate calculations. Round your final answer to the nearest cent.)

Answers

Notes Maturity Notes
Oct 22 ---> 284 daysAug 8 ---> 220
Grand Total --> 64 days passed

Discount Period
120-64 = 56 days

$3,500 x .05 x 120/360= $58.33$3,500 + $58.33= $3,558.33

Bank Discount
$3,558.33 x .06 x 56/360= $33.21

Proceeds
$3.558.33- $33.21 = $3,525.12

Write each of the following expressions as a powers of 2: (4·25)÷(23· 1/16 )

Answers

(4 · 2^5) ÷ (2^3 · 1/16 )

= (2^2 · 2^5) ÷ (2^3 · 2^-4 )

= (2^7) ÷ (2^-1)

= 2^8

The value obtained as the power of 2 after solving the expression, (4×2⁵) ÷ (2³ × 1/16 ) will be 2⁸.

What is an integer exponent?

In mathematics, integer exponents are exponents that should be integers. It may be a positive or negative number. In this situation, the positive integer exponents determine the number of times the base number should be multiplied by itself.

The given expression is,

(4×2⁵) ÷ (2³ × 1/16 )

Keep the base constant and add the exponents when multiplying similar bases. Maintaining the same base while multiplying the exponents will raise a base with power to another power. When dividing two bases with similar exponents, keep the exponents of the numerator and denominator constant.

= (2² × 2⁵) ÷ (2³ × 2⁻⁴ )

= (2⁷) ÷ (2⁻¹)

= 2⁸

Thus, the values obtained as the power of 2 after solving the expression, (4×2⁵) ÷ (2³ × 1/16 ) will be 2⁸.

Learn more about the integer exponent here:

brainly.com/question/4533599

#SPJ2

Other Questions

How could you start a persuasive speech on littering what could be an attention grabber In a six-sided dice game, a prize is won if the arithmetic mean of number rolled is 3.25-3.75. In a second game, a prize is won if the arithmetic mean is more than 4.5. In which game would you rather roll the dice 20 times or 200 times Write the equation of the line, in standard form, that passes through the origin and is parallel to x + y = 6. Include your work in your final answer. I understand the answer is x + y = 0I want to understand how that is determined. Using point slope form and all that., If you are involved in a boating accident, what is the first thing you should do? 3/7x + 4 = -1/2explain pls Which diagram could be used to prove ABC ~ DEC using similarity transformations?(from top to bottom, first pictures top option is A for example)A.B.C.D. Dr vickman conducted a__________ factorial design to examine the effects of music and room temperature on participants memory. participants were randomly assigned to study a list of nonsense words either listening or not listening to music in either a warm or cold room what is pachydermophobia and how do you get it two students used two balls to make a scale model of the earth/moon system. the earth model was 24 cm in diameter. when they finished, what were the final dimensions of the model system Read the following passage:As the New England weather gets colder, we enjoy watching the Canada Geese as they migrated south for the winter.Based on the clues, what is the most likely definition of the word migrate?to swimto moveto flyto walk Write a loop that reads strings from standard input where the string is either "land", "air", or "water". the loop terminates when "xxxxx" (five x characters) is read in. other strings are ignored. after the loop, your code should print out 3 lines: the first consisting of the string "land:" followed by the number of "land" strings read in, the second consisting of the string "air:" followed by the number of "air" strings read in, and the third consisting of the string "water:" followed by the number of "water" strings read in. each of these should be printed on a separate line. assume the availability of a variable, stdin, that references a scanner object associated with standard input. What common goal did the revolutions throughout the Austrian Empire have? He nurse delegates the care of a multiparous client who gave birth to a viable term neonate vaginally 30 hours ago and is preparing to be discharged to a licensed practical/vocational nurse (lpn/vn). the nurse should instruct the lpn/vn to notify the nurse if the client exhibits which sign or symptom? What is the name given to the power of the federal government to take private land for public use? A. postal power B. domestic policy C. territorial power D. eminent domain What is the equation of the line described below written in slope-intercept form? the line passing through point (0, 0) and parallel to the line whose equation is 3x + 2y - 6 = 0 A scale drawing of a house addition shows a scale factor of 1 in. = 3.3 ft. Josh decides to make the house addition smaller, and he changes the scale of the drawing to 1 in. = 1.1 ft. What is the change in the scale factor from the old scale to the new scale? Help Please!! Julie has been playing soccer for most of her life and is a very good player. therefore, julie was surprised when her friend asked her to describe how to bend a free kick so that the ball curves, and she could not put her knowledge into words. julie's knowledge of how to bend a free kick is probably a(n) _____ memory. A director casts a play about colonialism so that English speakers play the colonizers and Spanish speakers play the colonized people. What is the most likely intent of the director's interpretation? A. To suggest that Spanish speakers were the true victims of colonialism B. To suggest that there exists a similar division of power between speakers of different languagesC. To suggest that English colonialism was much more violent than Spanish colonialism D. To suggest that a new form of colonialism is necessary today How did Vladimir Lenin rise to power in Russia Dr. Levitt is conducting a descriptive experiment where she is counting the numbers of chicks that hatch in one season for a particular species of bird. What is a major benefit of this experiment?