MATHEMATICS HIGH SCHOOL

True or False:The hypotenuse is the longest side of a right triangle.
A) yes
B) no

Answers

Answer 1
Answer: Answer = A.) yes!
This statement is True
The hypotenuse is the longest side of a triangle. 

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A certain bank offers a car loan with a fixed annual interest rate. Justine applied for the loan and used the entire amount to buy a car worth $43,000. He had to pay the bank for five years for a total amount of $51,600. How much would be the yearly interest if Justine borrowed $50,000 instead? *0 points

Answers

Answer: $10000

Step-by-step explanation:

From the question,

Principal = $43000

Time = 5 years

Rate = Unknown

Simple Interest = $51,600 - $43000 = $8600

We need to calculate the rate of interest which will be:

Interest = PRT/100

8600 = (43000 × 5 × Rate) / 100

Cross multiply

8600 × 100 = 215000 × Rate

Rate = 860000 / 215000

Rate = 4%

Assuming Justine borrowed $50,000 instead, the yearly Interest will be:

= (50000 × 5 × 4%)

= 50000 × 5 × 0.04

= $10000

Can someone help me plzzz

Answers

ould help but I don’t even know the answer myself so I’m acting like I know the answer so I can move on

Determine whether each number is a solution of the given inequality.
3y-8<22

Answers


y has to equal 9 or less
3y-8 < 22
3y < 30
y < 10

Hope this helps!!

According to the Rational Root Theorem, which could be a factor of the polynomial f(x) = 3x3 – 5x2 – 12x + 20?

Answers

Answer:

factor of the polynomial f(x)=3x^(3)-5x^(2)-12x+20 is

 (x-(5)/(3))(x+2)(x-2)

Step-by-step explanation:

Rational Root Theorem: It tells us  which roots we may find exactly (the rational ones) and which roots we may only approximate (the irrational ones).

P(x) = a_n x^(n)+a_(n-1)x^(n-1) + ... + a_2 x^(2)+ a_1 x + a_0

has any rational roots, then they must be of the form:

\pm(factor of a_0)/(factor of a_1)

In provided polynomial f(x)=3x^(3)-5x^(2)-12x+20

Here, a_0=20\; \text{and}\; a_n =3

The number 20 has factors: \pm1,\pm2,\pm4,\pm5,\pm10,\pm20.

These are possible value for p

The number 3 has factors: \pm1,\pm3. these are possible value for q

Find all possible value of (p)/(q)

\mathrm{The\:following\:rational\:numbers\:are\:candidate\:roots:}\quad \pm (1,\:2,\:4,\:5,\:10,\:20)/(1,\:3)

\mathrm{Validate\:the\:roots\:by\:plugging\:them\:into}\:3x^3-5x^2-12x+20=0:\quad x=(5)/(3),\:x=-2,\:x=2

Hence, factor of the polynomial f(x)=3x^(3)-5x^(2)-12x+20 is

 (x-(5)/(3))(x+2)(x-2)
a)X1=-2

b)X2=2

c)X3=5/3

What is the selling price of a table ticketed at $1,234 with a 22% discount?A. $271.48
B. $962.52
C. $926.25
D. $1,000.00

Answers

Multiply $1,234 by 0.22 to find how much money you will be saving:

$1,234 x 0.22 = $271.48

Now, subtract this from the actual price to find the selling price:

$1,234 - $271.48 = $962.52

The selling price is B. $962.52

Answer:

b

Step-by-step explanation:

The selling price of a table ticketed at $1,234 with a 22% discount is $962.52. $1,234 x 0.22 = $271.48 $1,234 - $271.48 = $962.52

Last year , a large trucking company delivered 5.5*10^5 tons goods with a average value of $23,000 per ton . What was the total value of the goods delivered ? Write your answer in scientific notation . Please , I have to do this before bed time . Can you help me ?
Thank you :)

Answers

5.5*10^5 = 550,000 tons

$23,000 per ton 

23,000 x 550,000 = $12,650,000,000 (total value)

Now to convert to scientific notation.

1.265 x 10^10

Hope that was useful :)
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