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3 years ago

Simplify -4 1/5 (-13 1/10) pls help

Mathematics

1 answer:

oksian1 [2.3K]3 years ago

4 0

Answer:

55 1/50 or 2751/50

Step-by-step explanation:

Convert both expressions to improper form

Make their denominators the same

Multiply the numerators

Simplify the fraction if needed

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A small plane and a large plane are 6.8km from each other, at the same altitude (height). From an observation tower, the two air

Lemur [1.5K]

Answer:

7.9km

Step-by-step explanation:

(a)See attached for the diagram representing this situation.

(b)

In Triangle ABC

$\text{Using Law of Sines}\\\dfrac{\sin A}{a}=\dfrac{\sin C}{c} \\\dfrac{\sin A}{5.2}=\dfrac{\sin 58^\circ}{6.8} \\\sin A=5.2 \times \dfrac{\sin 58^\circ}{6.8}\\A=\arcsin (5.2 \times \dfrac{\sin 58^\circ}{6.8})\\A=40.43^\circ$

Next, we determine the value of Angle B.

$\angle A+\angle B+\angle C=180^\circ\\40.43+58+\angle B=180^\circ\\\angle B=180^\circ-(40.43+58)\\\angle B=81.57^\circ$

Finally, we find b.

$\text{Using Law of SInes}\\\dfrac{b}{\sin B}=\dfrac{c}{\sin C} \\\dfrac{b}{\sin 81.57^\circ}=\dfrac{6.8}{\sin 58^\circ} \\b=\dfrac{6.8}{\sin 58^\circ} \times \sin 81.57^\circ\\b=7.9km $ (to the nearest tenth of a kilometer)$

The distance between the small plane and the observation tower is 7.9km.

8 0

3 years ago

Find the discriminat 2x^2 + 8x - 9 = 0

alexandr402 [8]

Answer:

2x^2 + 8x - 9 = 0

2x^2 + 8x = 9

2x^2 + x = 9/8

x^2 + x = 9/8×2

x^2 + x = 9/16

2x = √9/16

x = √9/32

3 0

3 years ago

function a and function b are linear functions. function a is represented by the table values. function b is represented by the

Kryger [21]

The y-intercept of B is greater than the y-intercept of A and the rate of change of function A is less than the rate of change of B

<h3>Linear functions </h3>

The standard linear equation is expressed as y = mx + b

For the given table;

The y-intercept occur at x = 0

y = 3x + 4

y = 3(0) + 4

y = 4

For the table;

Using the coordinate points (1, 2) and (3,10)

rate of change "m" = 10-2/3-1
m = 8/2

m = 4

Recall that y = mx + b

2 = 4(1) + b

b = -2

Hence the y-intercept of B is greater than the y-intercept of A and the rate of change of function A is less than the rate of change of B.

Learn more on intercept here: brainly.com/question/25722412

7 0

2 years ago

The price of a watch was increased by 20% to £162. <br> What was the price before the increase?

Inessa [10]

Answer:

The answer is 135

Step-by-step explanation:

We can use formula: 162...120% since the price was increased by 20% which means it is 120%

So: 162...120%

x.... 100%

120x = 16200 => x = 135

4 0

2 years ago

"let v = r 2 with the usual addition and scalar multiplication defined by k(u1, u2) = (ku1, 0). determine which of the five axio

expeople1 [14]

Let $\mathbf u\in\mathbb R^2$ , where

$\mathbf u=(u_1,u_2)$

and let $k\in\mathbb R$ be any real constant.

Given this definition of scalar multiplication, we can see right away that there is no identity element $e$ such that

$e\mathbf u=\mathbf u$

because

$e\mathbf u=e(u_1,u_2)=(eu_1,0)\neq(u_1,u_2)=\mathbf u$

5 0

3 years ago