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3 years ago

Welp..................................................

Mathematics

2 answers:

Alexus [3.1K]3 years ago

5 0

Answer:

Step-by-step explanation:

jok3333 [9.3K]3 years ago

5 0

Answer:

Distributive property

4( b + 2) = 4b + 8

Step-by-step explanation:

Distributive property : a(b + c) = ab + ac

Commutative property = a + b = b + a

Associative property = a + ( b +c ) = (a + b) +c

Inverse property = a + ( - a) = 0

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Find the length of x

zavuch27 [327]

Answer:

7/2 =x

Step-by-step explanation:

The triangles are similar so we can write a ratio to solve

2 4

---- = -------

x 7

Using cross products

2*7 = 4x

14 = 4x

14/4 = 4x/4

7/2 =x

3 0

3 years ago

Read 2 more answers

2. From the top of a vertical cliff 40 m high, the object is 59.3m from the base of the cliff. Find the angle of depression to t

ArbitrLikvidat [17]

$34^{\circ}$ is the angle of depression from the vertical cliff.

Option: A

Step-by-step explanation:

Given that, Height of the cliff (opposite side) = 40m

Distance of object from the base of the cliff (adjecent side) = 59.3m

To find the angle of depression of the object. From trigonometric rule in a right angled triangle, we know that $\tan \theta=\frac{\text { opposite side }}{\text { adjecent side }}$ $\theta=\tan -1 \frac{\text { opposite side }}{\text { adjecent side }}$ Angle of depression = $\tan -1 \frac{\text { height of cliff }}{\text { Distance of object from the base of the cliff }}=\tan ^{-1} \frac{40}{59.3}=34^{\circ}$ Therefore, the angle of depression to the object is $34^{\circ}$ .

3 0

4 years ago

A rectangle with dimensions of 3 units by 7 units is enlarged by a scale factor of 1.1. By what percent does it’s area increase?

Ratling [72]

Answer:

$21\%$

Step-by-step explanation:

Original dimensions of the rectangle

$l=7\ \text{units}$

$w=3\ \text{units}$

Area of the rectangle

$A=7\times 3=21\ \text{units}^2$

Scale factor = 1.1

New dimensions

$l'=7\times 1.1=7.7\ \text{units}$

$w'=3\times 1.1=3.3\ \text{units}$

The new area of the rectangle

$A'=7.7\times 3.3=25.41\ \text{units}^2$

Percentage change is given by

$\dfrac{A'-A}{A}\times 100\\ =\dfrac{25.41-21}{21}\times 100=21\%$

The percentage by which the area of the rectangle increases is $21\%$ .

8 0

3 years ago

PLEASE HELP simple geometry problem

vlabodo [156]

Perimeter is adding the 3 sides together. Since both triangles have the same perimeter set both triangles to equal:

(x+3 + x+3 + x+3) = (x+3 + 2x-3 + x)

Simplify each side:

3x+9 = 4x

Subtract 3x from each side:

x=9

5 0

4 years ago

240,000 rounded to the nearest hundred thousand is

In-s [12.5K]

<em>ANSWER: </em>

So, the hundred thousand is the "2" in this situation. Since 5 or more rounds up, and 4 or down stays, we stay with the 2. Therefore, the answer is 200,000

6 0

4 years ago