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3 years ago

Given a right triangle with an acute angle Θ , if sin Θ = cos Θ , describe what this triangle would look like.

Mathematics

1 answer:

schepotkina [342]3 years ago

3 0

For sinø = cosø, ø = 45°. Because it is right, it is also a right, isosceles triangle

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Factorize the following algebraic expression:

Hoochie [10]

X^2+16-38=0
find what 2 numbers multiply to get -38 and add to get 16
find factors of 38
2 times 19
there is no way to use common factor so use quadratic formula which is
x= $\frac{ -b+\sqrt{b^2-4ac} }{2a}$ or x= $\frac{ -b-\sqrt{b^2-4ac} }{2a}$

ax^2+bx+c=0 subsitte
a=1
b=16
c=-38
subsitute
$\frac{ -16+\sqrt{16^2-4(1)(-38)} }{2(1)}$ = $\frac{ -16+\sqrt{256+152} }{2}$ = $\frac{ -16+\sqrt{408} }{2}$ = $\frac{ -16+2\sqrt{102} }{2}$ = $-8+\sqrt{102}$
so the answers for x are $-8+\sqrt{102}$ and $-8-\sqrt{102}$ which are aprox -2.099504938362 and +18.099504938362
so it would be
(x-[-8+√102])(x+[8+√102])=0

6 0

3 years ago

The sum of angle 1 and angle 4 and the sum of angle 3 and angle 4 are each equal to 180 degrees by the definition of supplementa

S_A_V [24]

Supplement Postulate? they are supplementary.

4 0

3 years ago

you have 96 feet of fencing to enclose a rectangular pen for your dog. the pen should be three times long as it is wide. write a

swat32

Answer:

length = 36 ft; width = 12 ft

Step-by-step explanation:

Let the width be x.

The length is 3x.

The perimeter is the sum of two lengths and two widths, and it equals 96 ft.

3x + 3x + x + x = 96

8x = 96

x = 12

Width = x = 12 ft

Length = 3x = 3(12 ft) = 36 ft

7 0

3 years ago

Read 2 more answers

An outlet store receives a shipment of sets of bunk beds that will be offered at a discounted price of $160 apiece. The sets of

GrogVix [38]

Answer:

17.1%

Step-by-step explanation:

160/193=0.829

1-0.829=0.171

Move the decimal place over two places, and the answer is 17.1%

4 0

3 years ago

Read 2 more answers

What is the answer to 6/5= 2/5n and tell me how you got the answer

alina1380 [7]

$\frac{6}{5}$ = $\frac{2}{5} n$

First, simplify $\frac{2}{5} n$ to $\frac{2n}{5}$ / Your problem should look like: $\frac{6}{5}$ = $\frac{2n}{5}$
Second, multiply both sides by 5. / Your problem should look like: 6 = 2n
Third, divide both sides by 2. / Your problem should look like: $\frac{6}{2}$ = n
Fourth, simplify $\frac{6}{2}$ to 3. / Your problem should look like: 3 = n
Fifth, switch sides. / Your problem should look like: n = 3

Answer: n = 3

6 0

3 years ago