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3 years ago

Find the exact length of the missing sides

Mathematics

1 answer:

Black_prince [1.1K]3 years ago

6 0

For finding x:
We want to use tangent because tangent is opposite/adjacent
tan (30)= x/15
Multiply both sides of the equation by 15 to isolate x
Now we have, (15)(tan 30) = x
Simply plug the above equation into your calculator and you should get x=8.66

For y:
We know the angle opposite side y is= 90˚ (it is marked as a right angle)
We are going to use cosine because cosine is adjacent/hypotenuse
So, cos(90)= 15/y
Multiply by y
(y)(cos 90)=15
Now use simple algebra
cos (90) = 0
Y x 0 =15
y=15

Hope this helps. By the way, I am a little rusty on this topic so I am not 100% sure that this is right (I'm 98% sure).

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A map has a scale of 1 centimeter = 40 kilometer. If the distance between Fort Worth and El Paso is 21.7 cm on a map , how many

ryzh [129]

Aloha!
1 centimeter= 40 kilometers
The distance between the cities in centimeters is 21.7
To get the answer into kilometers, you multiply.
So, 21.7 times 40 which is 868 kilometers.
To answer your question, the distance between Fort Worth and El Paso is 868 kilometers.
I hope this helps!
Adios!:)

5 0

4 years ago

-3x – 10 = 32Help me I need the answer

Nesterboy [21]

Answer:

Step-by-step explanation:

-3x – 10 = 32 Help me I need the answer

-3x – 10 = 32

-3x = 32 + 10

-3x = 42

x = 42 :(-3)

x = - 14

-----------------

check

-3 × (-14) - 10 = 32 (remember pemdas)

42 - 10 = 32

32 = 32

the answer is good

6 0

1 year ago

What is the gradient of the graph shown

Keith_Richards [23]

9514 1404 393

Answer:

Step-by-step explanation:

The gradient is the ratio of "rise" to "run". Here, it appears the line crosses the y-axis at y = -1. It appears that it also crosses the grid intersection at (1, 2). This represents a "rise" (change in y) of (2 -(-1)) = 3, for a "run" (change in x) of (1 -0) = 1. Then the gradient is ...

m = rise/run = 3/1 = 3

The gradient of the graph is 3.

5 0

2 years ago

the equation of a circle in general form is x squared + y squared + 20x + 12 y + 15 equals 0what is the equation of the circle i

Marrrta [24]

Answer: $(x+10)^2+(y+6)^2=121$

Step-by-step explanation:

The equation of a circle in the general form is:

$ax^{2}+by^2+cx+dy+e=0$

The equaton of a circle in standard form is:

$(x-h)^2+(y-k)^2=r^2$

Where the center is at <em>(h, k)</em> and <em>r</em> is the radius

To write the equation of a circle from general form to standard form, you must complete the squaare, as you can see below:

1- Given the equation in general form:

$x^{2}+y^2+20x+12y+15=0$

2- Complete the square:

-Group the like terms and move the constant to the other side.

- Complete the square on the left side of the equation.

- Add the same value to the other side.

Then you obtain:

$(x^{2}+20x)+(y^2+12y)=-15\\(x^2+20x+(\frac{20}{2})^2)+(y^2+12y+(\frac{12}{2})^2)=-15+(\frac{20}{2})^2+(\frac{12}{2})^2\\\\(x+10)^2+(y+6)^2=-15+100+36\\(x+10)^2+(y+6)^2=121$