A right triangle has an area of 50 square inches. If the triangle is an isosceles triangle, what are the lengths of the legs of the triangle?

Answers

Answer 1

Answer: area=1/2bh
50=1/2bh
times 2
100=bh
solve for b
divide by h
100/h=b
we hav to make a drawing
since it is isocoleese
h=b
100=b^2=h^2
h=b=10
answer is 10 inches

Answer 2

Answer: 10in and 10in, because 10x10=100, and 100/2=50

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Regina wanted an increase in her weekly allowance from $5 to $10, but her parents did her one better. Instead, Regina rolls a fair, six-side die every week, and her allownace for that week will be the number she rolls multiplied by 2. Write and expression where n represents the number on the die that Regina rolls that week.

Answers

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The sum of remainders obtained when x3+(k+8)x +k is divided by x-2 and when it is divided by x+1 is 0 fine the value of k

Answers

Answer: k=-5

Step-by-step explanation:

The remainder theorem says that for any polynomial p(x) , if we divide it by the binomial x−a , the remainder is equal to the value of p(a) .

Therefore for $p(x)=x^3+(k+8)x+k$ if it is divided by x-2 and x+1 then its remainder must be p(2) and p(-1)

where, $p(2)=2^3+(k+8)2+k=8+2k+16+k=3k+24$

$p(-1)=(-1)^3+(k+8)(-1)+k=-1-k-8+k=-9$

According to the question,

p(2)+p(-1)=0

$\Rightarrow3k+24-9=0\n\Rightarrow3k+15=0\n\Rightarrow3k=-15\n\Rightarrow\ k=(-15)/(3)\n\Rightarrow\ k=-5$

please answer the area of rectangle is 24 cm Square if it's length is 5cm longer than its width find its length of the rectangle.

Answers

Length = 8
W = 3
With some simple trail and error we can arrive at this answer, since area is 24 (a small multiple) we can test numbers that are 5 apart 1,6 2,7 3,8 and multiply them and you will get answer

3 unitsV13 units
2 units
In this right triangle, the length of the hypotenuse, BC, is units:

Answers

Answer:

$\large\boxed{BC=√(13)}$

Step-by-step explanation:

$\text{If}\ a\leq b\leq c\ \text{are lengths of sides of a right triangle, then}\n\na^2+b^2=c^2.\n\n\text{We have:}\ 2<3<√(13)\n\n\text{Substitute:}\n\n2^2+3^2=(√(13))^2\qquad\text{use}\ (√(a))^2=a\n4+9=13\n13=13\qquad\bold{CORRECT}\n\n\text{The hypotenuse is the longest side of a right triangle.}\n\text{Therefore}\ BC=√(13)$

In the number 956,783,529, how does the value of the digit 5 in the ten millions place compare to the digit 5 in the hundreds place?

Answers

the 5 in the 10,000,000 place is greater than the 5 in the 100 place?

the 5 in the hundred thousands place is smaller than the 5 in the ten millions place

i am a 3digit number that is less than 500. My ones digit is twice the hundreds digit. The sum of the three digits is 14. What number am I?

Answers

the three possible answers are 428, 356, and 284. All are less than 500, all have a units digit twice the hundreds digit, and all have 14 as a sum of digits.

ooh fun

so xyz=number
z=2x
x+y+z=14
subsitute z=2x into x+y+z=14
x+y+(2x)=14
3x+y=14
number must be 3 digit and less thaan 500
since the tens digit's max is 9 then
z+x≥14-9
z=2x
3x≥5
x max=5 because 500 is max so
x could be 2,3,4 so

284
356
428
are the numbers

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