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viktelen [127]
3 years ago
8

The lengths of the sides of a triangle are 10, 24, 26. Classify the triangle as acute, right, or obtuse.

Mathematics
1 answer:
mote1985 [20]3 years ago
4 0

Answer:

obtuse

Step-by-step explanation:

To find if a triangle is right, acute, or obtuse, you add up the two smaller side lengths. 10 + 24 = 34, and 34 is more than 26, so it is obtuse. If the sum is less than the longest side, it would be acute, and if it's equal, than it'd be right.

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What number increased by 62%, results in the value of 59.94
lakkis [162]

Answer:

The number is : x = 37

Step-by-step explanation:

In order to solve this question, we may set up a proportion.

If the original number is 100%, 59.94 would be 162% of the original, as it was increased by 62%.

so

59.94 → 162%

x → 100%

solving the proportion gives you  

59.94 × 100 = 162 × x

x = (59.94 × 100)/162

x =  5994/162

x= 37

Thus, the number is : x = 37

4 0
3 years ago
Edward Winslow deposited $20,000.00 into a savings account paying 6% annual interest compounded monthly. What amount will be in
Ad libitum [116K]

Answer:

$28360

Step-by-step explanation:

Step one:

Given data

P=20000

rate= 6%

time= 6years

Step two:

compound interest

A=P(1+r)^t

substitute

A=20000(1+0.06)^6

A=20000(1.06)^6

A=20000*1.418

A=$28360

4 0
3 years ago
If alpha beta are the roots of the equation
Vikki [24]

Answer:

Step-by-step explanation:

Hello, I believe that we can consider a different from 0.

By definition of the roots we can write.

ax^2+bx+c=a(x-\alpha)(x-\beta)=a(x^2-(\alpha + \beta)x+\alpha \cdot \beta)\\\\\text{So we can say that:}\\\\\alpha + \beta = \dfrac{-b}{a}\\\\\alpha \cdot \beta=\dfrac{c}{a}\\\\\text{So the expected quadratic equation is}\\\\(x+\dfrac{b}{a})(x-\dfrac{c}{a})=0\\\\ \Large \boxed{\sf \bf \ (ax+b)(ax-c)=0 \ }

Thank you

8 0
3 years ago
Joyce is trying to solve the equation y = x2 − 8x + 7 using the quadratic formula. She has made an error in one of the steps bel
kobusy [5.1K]

Answer:

x = 1 , 7

Step-by-step explanation:

Solution:-

- The given equation is as follows:

                          y = x^2 - 8x + 7

- We can solve the above equation by either making factors or by using Quadratic formula.

Factor Approach:

- Using the constant "7" at the end of the quadratic equation we will determine two integer multiples such that their additions/subtraction results in "-8".

- So the only factor of "7" are:

                        7 x 1 = 7

                       -7 x -1 = 7

- We see that addition/subtraction of first (7 , 1 ) does not results in "-8", However, the sum of ( -1 , -7 ) = -1 - 7 = -8. So the correct factors are ( -1 , -7 ). So we replace "-8x" with our factors "-1x" and "-7x":

                       x^2 -x -7x + 7 = 0

- Take common multiples out of pair of two terms:

                        x*(x-1) -7*(x-1) = 0

                        (x-7)*(x-1) = 0

- So we equate each term in bracket with "0" and evaluate the values of x:

                        (x-7) = 0  , x = 7

                        (x-1) = 0   , x = 1

- So the solution to the quadratic equation is:

                        x = 1 , 7

               

4 0
3 years ago
8,502 to the nearest hundred.
dimulka [17.4K]

Answer:

8,500

Step-by-step explanation:

if a number has 4 or less, round lower.

if a number has 5 or more, round up.

6 0
3 years ago
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