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3 years ago

Question: If the triangle is right, the hypotenuse is?? Plsss help

Mathematics

1 answer:

raketka [301]3 years ago

3 0

Answer:

the hypotenuse of the given triangle is 48.5 ft

Step-by-step explanation:

the ways to detect the hypotenuse of a triangle are :

longest side of a right angled triangle is the hypotenuse of the triangle .
side opposite to the right angle ( 90° ) is the hypotenuse of the right angled triangle .

 in the given figure the longest side is 48.5, hence it's the hypotenuse....

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What is -4(-4+3)+2 squared. use order of operations.

sineoko [7]

To solve this, first solve the part of the equation in parentheses: (-4+3) = -1. Then multiply using the exponent 2 squared is 2×2 which is 4. Now the equation is -4(-1)+4. Next you multiply, -4(-1)=4. You are then left with 4+4 which equals 8.

-4(-4+3)+2 squared
-4(-1)+2 squared
-4(-1)+4
4+4
8

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3 years ago

Read 2 more answers

If you wanted to test, using a 5% significance level, whether or not a specific slope coefficient is equal to one, then you

Margarita [4]

Answer:

If you wanted to test, using a 5% significance level, whether or not a specific slope coefficient is equal to one, then you should subtract 1 from the estimated coefficient, divide the difference by the standard error, and check if the resulting ratio is larger than 1.96 .

Option B is the correct answer.

Step-by-step explanation:

If you wanted to test, using a 5% significance level, whether or not a specific slope coefficient is equal to one, then you should subtract 1 from the estimated coefficient, divide the difference by the standard error, and check if the resulting ratio is larger than 1.96.

Option B is correct because after subtracting it from 1, it will become a standardized test if the slope is equal to 0 or not.

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4 years ago

What is the result of isolating x2 in the equation below?(x + 1)2 + ( -8)2 =9A. x2 = -y2 - 2x +16y - 56B. x2 = y2 +2x+16y +56C.

Anit [1.1K]

The expression we have is:

$(x+1)^2+(y-8)^2=9$

Step 1. Use the binomial square formula:

$(a+b)=a^2+2ab+b^2$

Applying this formula to the first binomial squared:

$x^2+2x+1+(y-8)^2=9$

Step 2. Apply the formula for the square of a binomial to the second binomial:

$x^2+2x+1+y^2+2(y)(-8)+(-8)^2^{}=9$

In this case, we have some operations to solve before we move on to isolating x. So we solve the operations:

$x^2+2x+1+y^2-16y+64^{}=9$

Step 3. Move the terms that are not x squared to the right side of the expression. Remember that when we move one term from one side of the equation to the other, the term must change its sign. We get the following:

$x^2=9-2x-1-y^2+16y-64$

Step 4. Combine like terms and arrange terms in order from the greatest exponent to the lowest and leave the independent term at the end:

$x^2=-y^2-2x+16y-56$

And that is the final result, which is option A.

Answer: Option A.

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1 year ago

The sum of two angles is 180 degrees and the angles have a ratio of 7:8. What is the number of degrees in the smaller angle?

Gwar [14]

7 > 8

7 + 8 = 15

180 / 15 = 12

12 * 7 = 84

Therefore the smallest angle is 84 degrees

8 0

3 years ago

If 3 pistachio and 1 walnut weigh the same as 10 peanuts, and 1 pistachio and 6 peanuts weigh the same as 1 walnut, how many pea

yuradex [85]

Answer:

Step-by-step explanation:

We need to translate all these statements to equations.

First of all, let P be the pistachios, W the walnuts and N the peanuts.

The first statement "3 pistachio and 1 walnut weigh the same as 10 peanuts" can be represented as:

3 P + 1 W = 10 N

The second statement "1 pistachio and 6 peanuts weigh the same as 1 walnut" can be represented as:

1 P + 6 N = 1 W

If we notice, both equations have a similar term: 1 W. The second gives us the equivalence to the weight of 1 walnut, whereas in the first we have the weight of 1 walnut as an unknown variable. Lets replace it!

3 P + 1 W = 10 P

3 P + (1 P + 6 N) = 10 P

4 P + 6 N = 10 P

We now need to sum (-4P) in both sides to eliminate the 4 P on the left:

4 P + 6 N - 4P = 10 P - 4 P

6 N = 6 P

Dividing both sides by 6:

N = P

Now we need an equation that relates walnuts to peanuts. Lets replace N=P on our firts equation:

3 P + 1 W = 10 P

3 N + 1 W = 10 N

Summing (-3 N) in both sides:

3 N + 1 W - 3N = 10 N - 3N

1 W = 7 N

So, 1 walnut weights the same that 7 peanuts

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3 years ago