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Alex73 [517]
3 years ago
9

This is an isosceles right triangle.

Mathematics
1 answer:
taurus [48]3 years ago
7 0

Answer:

Step-by-step explanation:

if we have a right triangle, and isosceles

c^2=a^2+b^2 , in this case of isosceles, a=b

c^2=2a^2

1^2=\sqrt{2a^2}

1=a\sqrt{2}

a=1/\sqrt{2}=\sqrt{2}/2

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Click an item in the list or group of pictures at the bottom of the problem and, holding the button down, drag it into the corre
Maksim231197 [3]
1) To find x we are going to use the Pythagorean equation:
 x= \sqrt{a^{2}+b^{2}  }
where 
a and b are the legs of our triangle. For our picture we can infer that a=10 and b=8, so lets replace those values in our equation to find x:
x= \sqrt{10^{2}+8^{2}}
x= \sqrt{100+64}
x= \sqrt{164}
x=12.8
We can conclude that the value of x in our triangle is 12.8

2) To find y we are going to use the trigonometric function tangent. Remember that tan(y)= \frac{opposite}{adjacent}. We know that the opposite side of our angle y is 8, and its adjacent side is 10, so lets replace those values in our tangent function to find y:
tan(y)= \frac{8}{10}
tan(y)=0.8
Since we need the measure of angle y, we are going to take inverse tangent to both sides to find it:
y=arctan(0.8)
y=38.66
We can conclude that the value of y in our triangle is 38.66°

3) Finally, to find z we are going to take advantage of two facts: the sum of the interior angles of a triangle is always 180°, and  our triangle is a right one, so one of its sides is 90°. Therefore, y+z+90=180. Since we already know the value of y, lets replace it in our equation and solve for z:
38.66+z+90=180
z+128.66=180
z=51.34
We can conclude that the measure of angle z is 51.34°


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4 0
3 years ago
Read 2 more answers
A vegetable garden is in the shape of a parallelogram with the dimensions shown.Parallelogram A B C D is shown. The length of A
olga55 [171]

Answer:

t needs 68 feet to enclose the garden.

Step-by-step explanation:

In this problem, we are to solve the sides of a parallelogram ABCD to know the measurement to enclose a garden.

Take note that a parallelogram has two equal lengths and two equal widths. Let us assume that the parallelogram AB = CD is the length and AD = BC is the width.

Solving the problem

First, let us solve for r using the condition AD = BC

AD = BC

3r + 8 = 2r + 12

Simplify the equation

3r - 2r = 12 - 8

r = 4

Next, let us substitute the value of r to AB, BC, CD, and AD.

For AB:

AB = 4r - 2

AB = 4(4) - 2

AB = 16 - 2 = 14

For BC:

BC = 2r + 12

BC = 2(4) + 12

BC = 8 + 12 = 20

For AD:

AD = 3r + 8

AD = 3(4) + 8

AD = 12 + 8 = 20

For CD:

But AB = CD Therefore, CD = 14

Finally, let us solve the perimeter of the parallelogram

Perimeter = AB + BC + CD + AD

Perimeter = 14 + 20 + 20 + 14

Perimeter = 68 feet

Therefore, the fencing needed to enclose the garden is 68 feet.

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Step-by-step explanation:

7 0
2 years ago
Read 2 more answers
A cellphone data plan costs 0.03 per gigabyte and has a 40.00 initial charge. What will be the total cost of the cellphone data
lbvjy [14]

Answer:

0.03x+40.00

Step-by-step explanation:

8 0
3 years ago
Mrs. Yuri’s classroom has 21 students. She took all of her students to a field trip at the skate station and brought four chaper
worty [1.4K]
21+1=22
Chaperones:supervises so won't be participating
143 divided by 22 equals 6.5
Answer:6.5
Are u sure u didn't misspelled 6.5 into 7.5?
5 0
2 years ago
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The sum of two consecutive even numbers is 18.find the numbers​
vovikov84 [41]

Answer:

Numbers are 8  and  10

Step-by-step explanation:

    10 + 8 = 18

8 0
2 years ago
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