-3x - 5 = 16
solve for x, thanks.

3)

[tex] Cos 60°= \frac{1}{2} = \frac{Adjacent} {Hypotenuse} = \frac{y} {10} \\\\ 2y=10 \\\\ y=5 [/tex]

Now, use Pythagoras theorem to find x

[tex] x^2+y^2=10^2 \\\\ \to x^2+5^2=10^2 \\\\ \to x^2+25=100 \\\\ \to x^2 = 100-25 \\\\ \to x^2= 75 \\\\ \to x= \sqrt{75} \\\\ \bf 5 \sqrt{3} [/tex]

Similarly,

4)

[tex] Sin 45°= \frac{1}{\sqrt{2}} = \frac{Opposite} {Hypotenuse} =\frac{2 \sqrt{2}} {a} \\\\ a= 2 \sqrt{2} \times \sqrt{2} \\\\ a=4 [/tex]

Now, use Pythagoras theorem to find b

[tex] b^2+(2 \sqrt{2}) ^2=a^2 \\\\ \to b^2+8=4^2 \\\\ \to b^2=16-8 \\\\ \to b^2 = 8\\\\ \to b= \sqrt{8} \\\\ \bf b=2 \sqrt{2} [/tex]

You can solve all of them in a similar way.

: )

Answer:

17.2 cm

Step-by-step explanation:

Answer:

En cada expresión queremos obtener 100 en el denominador.

Notar que en la primer eq. tendríamos:

a) 3/5 = (20/20)*(3/5) = (20*3)/(20*5) = 60/100 = 0.6  (corresponde a 60%)

b) 11/4 = ?

Acá el denominador es 4

tenemos que encontrar un número k tal que:

k*4 = 100

k = 100/4 = 25

Entonces podemos multiplicar denominador y numerador por 25.

11/4 = (25/25)*(11/4) = (25*11)/(25*4) = 275/100 = 2.75 (corresponde a 275%)

c) 4/20

el denominador es 20, entonces tenemos que resolver:

20*k = 100

k = 100/20 = 5

multiplicamos denominador y numerador por 5:

(5/5)*(4/20) = (5*4)/(5*20)  =  20/100 = 0.2  (corresponde al 20%)

d) 9/5

el denominador es 5, entonces debemos resolver:

5*k = 100

k = 100/5 = 20

Debemos multiplicar denominador y numerador por 20

(20/20)*(9/5) = (20*9)/(20*5) = 180/100 = 1.8  (corresponde a 180%)

e) 10/200 = 5/100 = 0.05  (corresponde al 5%)

f) 8/200

Se resuelve de similar forma al de arriba (que ya tenias resuelto).

Aca el denominador eso 200, entonces tenemos que tener:

200*k = 100

k = 100/200 = 1/2

Entonces multiplicamos numerador y denominador por 1/2

(1/2/1/2)*(8/200) = (8*1/2)/(200*1/2) = 4/100 = 0.04 (corresponde al 4%)

g) 30/300

aca el denominador es 300

Entonces:

300*k = 100

k = 100/300 = 1/3

Multiplicamos numerador y denominador por 1/3

(1/3/1/3)*(30/300) = (30*1/3)/(300*1/3) = 10/100 = 0.1  (corresponde al 10%)

Answer:

XYZ

Step-by-step explanation:

due to the angles being equivalent to eachother(NL angles being equal to XZ). The M and Y are equal to eachother.

Answer:

2

Step-by-step explanation:

Point on the graph: (0, -3) and (3, 3)

Slope:

m=(y2-y1)/(x2-x1)

m=(3+3)/(3-0)

m=6/3

m = 2

Answer:

sum of angles in a triangle is 180

so 70+60+ 8x+2 = 180

132+ 8x = 180

8x = 180-132

x = 48/8

x= 6

then find the angle by substituting value of x

8x + 2

8*6 + 2

= 50°

Answer:

angle DFE

Step-by-step explanation:

Answer:

Shen invested $9000.

Step-by-step explanation:

The simple interest formula is i = prt, where p is the principal amuont, r is the annual interest rate as a decimal fraction and t is the time in years.

Here, $2160 = P*0.06*(4 yrs), so:

         $2160

P = ----------------- = $9000

            0.24

Answer:

$16.80

Step-by-step explanation:

12 * 1.4 = 16.8

Answer:

$16.80

Step-by-step explanation:

Find 40 % of 12 by multiplying .05*12 to get $4.80. Add the original price $12 and the price increase $4.80 to get the new selling price of $12

Answer:

i cant find the answer

Step-by-step explanation:

sorry

Answer:

3450$ :)

Step-by-step explanation:

Answer:

If you are round the answer, you would get 15.7 cm. If not, you would get around 16 cm.

Step-by-step explanation:

The diameter is 5 and π is 3.14. You multiply those two together to get 15.7 cm. If the teacher asks to round, you will get 16 cm.

Answer:

-8y^2+9y-45

Step-by-step explanation:

symbolab.com

Answer:12

Step-by-step explanation:

the answer of this is 19.5 pounds

Answer:

r=-24

Step-by-step explanation:

Step1:  Add 4 to both sides

-2r - 4 + 4 > 44 + 4

-2r > 48

Step 2: Divide both sides by -2

-2r/ -2 > 48/ -2

r < -24

190% of 20 is 38.

To put it simply, multiply 190 by 20 (which is 3800) and get rid of the zeros. Hope this helped! :]

Answer:

2+2 equals 4

Step-by-step explanation:

Answer:

<C = <A

Step-by-step explanation:

In parallelograms, opposite angles are congruent. This means that <C=<A and <B=<D. Additionally, adjacent angles are supplementary; so when added they equal 180.

Answer:

750

Step-by-step explaintion

150, 300, 450, 600, 750

250, 500, 750

375, 750

Answer:750

Step-by-step explanation:

Answer:

y=1/4x+6

Step-by-step explanation:

i guess

Answer:

65.312 inches

326.56 inches

1959.36 inches

Step-by-step explanation:

Given

d = 20.8 inches

To find

Travel in 1, 5, 30 rotations

Solution

Circumference of the wheel is equal to one full rotation

C = πd = 3.14*20.8 = 65.312 inches

5C = 5*65.312 = 326.56 inches

30C = 30*65.312 = 1959.36 inches

Step-by-step explanation:

Answer:

326.56 inches

Step-by-step explanation:

hope this helps

Answer:

Step-by-step explanation:

Area of rectangle = 5*4

=> 20

Area of hemisphere = [tex]\pi[/tex]r^2 / 2

=> 3.14 * 4 /2

=> 6.28

Total area => 26.28

Answer:

36

Step-by-step explanation:

2 goes into 12 6 times and 6x6 = 36.

Answer:

x = 8

Step-by-step explanation:

because wy bisects XZ , XY and ZY are equal so ..

2x+3=3x-5

then x is 8❤