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Gwar [14]
2 years ago
6

Find the value of x round to the nearest tenth 17 to 47

Mathematics
1 answer:
Fudgin [204]2 years ago
6 0

Answer:

Step-by-step explanation:

Remember Sine of an angle is

opposite side

hypotenuse

So let the hypotenuse be

x

:

sin

(

47

°

)

=

opposite side

x

sin

(

47

°

)

=

12

x

To solve for

x

, divide

sin

(

47

°

)

by

12

:

x

=

12

sin

(

47

°

)

x

≈

16

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inysia [295]
No your supposed to do the math and cancel out each nunber until you find y
8 0
3 years ago
On a coordinate plane, triangles P Q R and S T U are shown. Triangle P Q R has points (4, 4), (negative 2, 0), (negative 2, 4).
mamaluj [8]

Answer:

The answer is below

Step-by-step explanation:

Two triangles are said to be similar if their corresponding angles are equal and the corresponding sides are in proportion.

The distance between two points on the coordinate plane is given as:

Distance=\sqrt{(x_2-x_1}^2+(y_2-y_1)^2 \\\\Therefore\ in\ triangle\ PQR:\\\\|QR|=\sqrt{(-2-(-2))^2+(4-0)^2}=4\\\\|PQ|=\sqrt{(-2-4)^2+(0-4)^2}=\sqrt{52}=2\sqrt{13}    \\\\|PR|=\sqrt{(-2-4)^2+(4-4)^2}=6

In triangle STU:

|ST|=\sqrt{(-1-2)^2+(-2-(-4))^2}=\sqrt{13}\\\\|SU|=\sqrt{(-1-2)^2+(-4-(-4))^2}  =3\\\\|TU|=\sqrt{(-1-(-1))^2+(-4-(-2))^2}=2

|QR| / |TU| = 4/2 = 2

|PR| / |SU| = 6/3 = 2

|PQ| / |ST| = 2√13 / √13 = 2

Hence:

|QR| / |TU| = |PR| / |SU| = |PQ| / |ST|

Therefore, △PQR and △STU are similar triangles since the ratio of their sides are in the same proportion.

6 0
2 years ago
Read 2 more answers
Kristen spent $165 on shirts. Fancy shirts cost $15 and plain shirts cost $10. If she bought a
Softa [21]

Answer:

1 fancy  15 plain

Step-by-step explanation:

F + P = 16

15F +10P = 165

Miltiplu the 1st by  -10:

-10F -10P = -160

15F +  10P = 165

Add both (10p is cancelled)

5F = 5

F =1

16-1 = 15   (15plain)

15 x10 =150

1x15 =15

  150 +15 = 165

 

3 0
2 years ago
Find two consecutive integers whose product is 24 more than three times the first integer
gregori [183]
X= first integer
x+1= second consecutive integer

Product means multiply, so we'll multiply x by x+1. More than means to add and 3 times is multiplication.

x(x + 1)= 3x + 24
use distributive property to multiply x by everything in parentheses
(x*x) + (x*1)= 3x + 24
x^2 + x= 3x + 24
subtract 3x from both sides
x^2 - 2x= 24
subtract 24 from both sides
x^2 - 2x - 24= 0
factor the expression
(x-6)(x+4)= 0
x-6=0
x=6

x+4=0
x=-4

If x= 6 is the first integer, x+1= 7 is the second integer

If x= -4 is the first integer, x+1= -3 is the second integer


Hope this helps! :)
7 0
3 years ago
Molly opened a bank account. She deposited $86.50 into her account every month for 20 months. She used $24.50 every month to pay
harkovskaia [24]
First, let's multiply 86.50 by 20 since she deposited $86.50 each month for 20 months.

86.50 * 20 = $1,730

Now, we have to divide this by 24.50 * 20 to find how much out of her $1,730 that she used on singing lessons.

24.50 * 20 = $490

Subtract how much she used for singing lessons from her total amount.

1,730 - 490 = $1,240

Finally, we multiply the amount she has left by 1/4 to find out how much she spent on her summer camp. We can also do this by multiplying 1,240 by 0.25 since 0.25 = 1/4.

1,240 * 0.25 = $310

So, Molly spent $310.00 on her summer camp.
Hope this helped!
7 0
3 years ago
Read 2 more answers
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