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3 years ago

The price of an item has been reduced by 30% . The original price was $79 .whats the price now

Mathematics

2 answers:

zvonat [6]3 years ago

7 0

Answer:

$23.70

Step-by-step explanation:

Pie3 years ago

5 0

The price now is $55.3

30% of 79 is 23.7 and if you subtract that from 79, you get 55.3 which is what the price would be after the reduced percent.

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A post is supported by two wires (one on each side going in oppositedirections) creating an angle of 80° between the wires. The

Vladimir [108]

Using the Sine rule,

$\frac{\sin A}{A}=\frac{\sin B}{B}=\frac{\sin C}{C}$ $\begin{gathered} \text{Let A = 14m,} \\ Substituting the variables into the formula,Where the length of the wires are, AP = xm and BP = ym[tex]\begin{gathered} \frac{\sin80^0}{14}=\frac{\sin40^0}{x} \\ \text{Crossmultiply,} \\ x\times\sin 80^0=14\times\sin 40^0 \\ Divide\text{ both sides by }\sin 80^0 \\ x=\frac{14\sin40^0}{\sin80^0} \\ x=9.14m \end{gathered}$

Hence, the length of wire AP (x) is 9.14m.

For wire BP (y)m,

Sum of angles in a triangle is 180 degrees,

$A^0+P^0+B^0=180^0$ $\begin{gathered} \text{Where A}^0=\text{ unknown,} \\ P^0=80^0\text{ and,} \\ B^0=40^0 \\ A^0+80^0+40^0=180^0 \\ A^0+120^0=180^0 \\ A^0=180^0-120^0 \\ A^0=60^0 \end{gathered}$

Using the side rule to find the length of wire BP,

$\begin{gathered} \frac{\sin 60^0}{y}=\frac{\sin 80^0}{14} \\ \text{Crossmultiply,} \\ y\times\sin 80^0=14\times\sin 60^0 \\ \text{Didive both sides by }\sin 80^0 \\ y=\frac{14\times\sin 60^0}{\sin 80^0} \\ y=12.31m \end{gathered}$

Hence, the length of wire BP (y) is 12.31m

Therefore, the length of the wires are (9.14m and 12.31m).

4 0

1 year ago

What is mZCAD? O 80° O 20° O 80° O 100° O 110°

denis23 [38]

Answer:

The angle of CAD is 100°.

Step-by-step explanation:

Given that total angles in a triangle is 180° so you will have to find the angle of CAB :

∠CAB + ∠ACB + ∠ABC = 180°

∠CAB + 80° + 20° = 180°

∠CAB + 100° = 180°

∠CAB = 180° - 100°

∠CAB = 80°

Next, you have to subtract it from 180° because straight line have a degree of 180°

∠CAD = 180° - 80°

∠CAD = 100°

3 0

3 years ago

A drunkard executes a “random walk” in the following way: each minute he takes a step north or southm with probability 1/2 each,

valentina_108 [34]

Assume that a step to the north is in the positive direction and a step in the south is in the negative direction.

Then,

$E(X_i)=50\left(\frac{1}{2}\right)-50\left(\frac{1}{2}\right)\\ \\=25-25=0$

and

$\sigma^2(X_i)=E(X_i^2)-E(X_i)^2 \\ \\ =50^2\left(\frac{1}{2}\right)+50^2\left(\frac{1}{2}\right)-0^2=2500\left(\frac{1}{2}\right)+2500\left(\frac{1}{2}\right)-0 \\ \\ =2500 \\ \\ \Rightarrow\sigma(X_i)=50$

After 1 hour of independent steps,

$E(X)=\sum_{i=1}^{60}E(X_i)=60(0)=0$

and

$\sigma^2(X)=\sum_{i=1}^{60}\sigma^2(X_i) \\ \\ =60(50)=300 \\ \\ \Rightarrow\sigma(X)=\sqrt{300}=17.32$

Therefore, by Central Limit Theorem, the distribution of the random walk is normal with a mean of 0 cm and a standard deviation of 17.32 cm. He is expected to be somewhere around his starting point after 1 hour.

6 0

3 years ago

Read 2 more answers

--110 = -2(8x + 7) A) {6} B) (16) C) (9) D) (14)

tamaranim1 [39]

Answer:

A) 6

Step-by-step explanation:

-110= -2(8x+7)

Divide both sides by -2

55 = 8x+7

Subtract both sides by 7

48 = 8x

Divide both sides by 8

6 = x

7 0

3 years ago

Use distributive property to write an equivalent expression 3(2x+3y)

Misha Larkins [42]

Answer:

6x + 9y

Step-by-step explanation:

3 * 2x = 6x

and

3 * 3y = 9y

then combine them with a plus sign

4 0

3 years ago