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3 years ago

Please help ASAP! thank you ( geometry)

Mathematics

2 answers:

Svetlanka [38]3 years ago

8 0

Plus in the numbers my advice

Lostsunrise [7]3 years ago

7 0

Answer:

Step-by-step explanation:

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The hypotenuse of an isosceles right triangle is centimeters longer than either of its legs. Find the exact length of each side.

Varvara68 [4.7K]

Question

The hypotenuse of an isosceles right triangle is 11 centimeters longer than either of its legs. find the exact length of each side.

Answer:

$Hypotenuse:37.56$

$Other\ Legs: 26.56$

Step-by-step explanation:

Let the hypotenuse be y and the other legs be x.

So:

$y = 11 + x$

Required

Determine the exact dimension of the triangle

Using Pythagoras theorem;

$y^2 = x^2 + x^2$

$y^2 = 2x^2$

This gives:

$(11+x)^2 = 2x^2$

Open bracket

$121 + 22x + x^2= 2x^2$

Collect like terms

$2x^2 - x^2 -22x - 121 = 0$

$x^2 -22x - 121 = 0$

Using quadratic formula:

$x = \frac{-b\±\sqrt{b^2 - 4ac}}{2a}$

$x = \frac{-(-22)\±\sqrt{(-22)^2 - 4*1*-121}}{2*1}$

$x = \frac{-(-22)\±\sqrt{968}}{2*1}$

$x = \frac{22\±31.11}{2}$

Split

$x = \frac{22+31.11}{2}\ or\ x = \frac{22-31.11}{2}\\$

$x = \frac{53.11}{2}\ or\ x = \frac{-9.11}{2}$

x can not be negative.

So:

$x = \frac{53.11}{2}$

$x = 26.56$

Recall that:

$y = 11 + x$

$y = 11 + 26.56$

$y = 37.56$

Hence, the dimensions are:

$Hypotenuse:37.56$

$Other\ Legs: 26.56$

6 0

3 years ago

Help me pls its simple (hopefully)<br><br> pls dont guess

Rzqust [24]

Answer:

15.8 in.

Step-by-step explanation:

63.2 / 4 = 15.8

5 0

3 years ago

The ratio of two complementary angles is 17:13. What is the measure of the smaller angle?

Mariana [72]

We know by definition that complementary angles add up to 90 degrees. We can set up an equation using the ration given:

17x+13x=90, with x representing the amount you need to multiply the ratio by to get 90.

17x+13x=90
30x=90
x=3

We now know that the number we multiply the ratio by is 3. The smaller number in the ratio is 13, and so therefore we multiply it by 3.

3*13=39

The answer is 39 degrees.

8 0

3 years ago

Find the missing number:

nirvana33 [79]

Answer:

20%

Step-by-step explanation:

Not sure if this is exactly correct, but let's say we start with 1 unit. If it increased by 25%, we get:

1 × 1.25 = 1.25 units.

Now, to get back to 1 unit, we need to find:

1.25 × ? = 1

? = $\frac{1}{1.25}$ = 0.80

So, 100% - 80 % = 20%

A 20% decrease.

Not completely sure though.

8 0

3 years ago

If 79.5% of married couple households are both native and 13.2% are both foreign, then (a) what percentage of married couple hou

Zanzabum

Answer:

The correct solution is "7.3%".

Step-by-step explanation:

It seems that the given question is incomplete. Find below the attachment of the complete and appropriate query.

According to the question,

The total married couples are,

= 55,550,000

where,

Both native = 79.5%

Both foreign = 13.2%

Now,

The percentage of couple that is one native as well as one foreign will be:

= $100-79.5-13.2$

= $7.3$ (%)

7 0

3 years ago