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IrinaVladis [17]
3 years ago
12

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

ct position in the answer box. Release your mouse button when the item is place. If you change your mind, drag the item to the trashcan. Click the trashcan to clear all your answers.
Find the missing part.

Mathematics
2 answers:
Maksim231197 [3]3 years ago
4 0
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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shtirl [24]3 years ago
4 0

Answer:

p

Step-by-step explanation:

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Question 8 Multiple Choice Worth 1 points)
Anon25 [30]

Answer:

\dfrac{x}{2}+12=36

Step-by-step explanation:

As it is given that

Both Riley and Francesca commute to work.

And, the Riley takes 12 minutes more than as Francesca as Riley takes 36 minutes

So for determining how many minutes is required for Francesca to get to work we need

Let us assume the time taken by Francesca to get to work is x

So, the time taken by Riley is

= \dfrac{x}{2}+12

And, Riley takes 36 minutes to get to work.

So, the equation would be

\dfrac{x}{2}+12=36

5 0
3 years ago
The sum of 12 and a certain number is equal to the product of 3 and the number
german

Answer:

Read the explanation!

Step-by-step explanation:

<em>Let the "certain number" be </em>x<em>. </em>

(* is a symbol for multiplication).

<em>Create a few equations and expressions:</em>

The sum of 12 and a certain number: 12 + x

The product of 3 and the number: 3 *x = 3x

The sum of 12 and a certain number is equal to the product of 3 and the number:

12 + x = 3x

Solve!

12=3x-x

12=2x

x=6

3 0
3 years ago
G(x) = -3x<br> f(x)=x+3<br> Find g(f(5))
never [62]

Answer:

To find the answers, all I have to do is apply the operations (plus, minus, times, and divide) that they tell me to, in the order that they tell me to.

(f + g)(x) = f (x) + g(x)

= [3x + 2] + [4 – 5x]

= 3x + 2 + 4 – 5x

= 3x – 5x + 2 + 4

= –2x + 6

(f – g)(x) = f (x) – g(x)

= [3x + 2] – [4 – 5x]

= 3x + 2 – 4 + 5x

= 3x + 5x + 2 – 4

= 8x – 2

(f  × g)(x) = [f (x)][g(x)]

= (3x + 2)(4 – 5x)

= 12x + 8 – 15x2 – 10x

= –15x2 + 2x + 8

\left(\small{\dfrac{f}{g}}\right)(x) = \small{\dfrac{f(x)}{g(x)}}(

g

f

​

)(x)=

g(x)

f(x)

​

= \small{\dfrac{3x+2}{4-5x}}=

4−5x

3x+2

​

My answer is the neat listing of each of my results, clearly labelled as to which is which.

( f + g ) (x) = –2x + 6

( f – g ) (x) = 8x – 2

( f  × g ) (x) = –15x2 + 2x + 8

\mathbf{\color{purple}{ \left(\small{\dfrac{\mathit{f}}{\mathit{g}}}\right)(\mathit{x}) = \small{\dfrac{3\mathit{x} + 2}{4 - 5\mathit{x}}} }}(

g

f

​

)(x)=

4−5x

3x+2

​

Step-by-step explanation:

4 0
2 years ago
David is going to buy a cooker.
valina [46]

Answer:

David should pay £48 as deposit.

Step-by-step explanation:

Price of cooker = £320

Deposit price of Cooker = 15%

We need to find How much money does David pay as a deposit?​

For finding deposit money we will find:

15% of 320

Solving:

15\% \ of \ 320\\=15\% \times 320\\=\frac{15}{100}\times 320 \\=48

So, David should pay £48 as deposit.

5 0
3 years ago
Sonja Koch has 90,000. She paid 350 for the title background check, 400$ for the title insurance
Pavlova-9 [17]

Answer:

89250

Step-by-step explanation:

90,000 - 350 = 89,650 - 400 = 89,250

taa-daa

3 0
3 years ago
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