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2 years ago

Can someone help me please?!?!?!

Mathematics

1 answer:

blsea [12.9K]2 years ago

5 0

Answer:

see explanation

Step-by-step explanation:

you are looking for perfect square factors of the numbers under the radical sign. both numbers and the sum are irrational because they contain √5

125 = 5×25

80 = 5×16

<em>3</em>√125 =<em> 3</em>√(25×5) = <em>3</em>×5√5 = 15√5

√80 = √(16×5) = 4√5

1) 15√5 + 4√5 = 19√5 the √5 is the same square root so you add the coefficients

perfect square factors are bold

4×√(25×2)×√(9×2) =

4×5×3×√(2×2) =

60×√4 =

2) 60 × 2 = 120

the numbers are both irrational but the answer is rational because √2 ×√2 = √4 = 2

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Can someone please solve this problem

ruslelena [56]

ANSWER

$\boxed { \sqrt{} }30 \degree$

$\boxed { \sqrt{} }210 \degree$

EXPLANATION

We want to solve

$\cot( \theta) = \sqrt{3}$

where

$0 \degree \: \leqslant x \leqslant 360 \degree$

We reciprocate both sides of this trigonometric equation to obtain:

$\tan( \theta) = \frac{1}{ \sqrt{3} }$

We take arctangent of both sides to get;

$\theta = \tan ^{ - 1} ( \frac{1}{ \sqrt{3} } )$

$\theta = 30 \degree$

This is the principal solution.

The tangent ratio is also positive in the third quadrant.

The solution in the third quadrant is

$180 + \theta = 180 + 30 = 210 \degree$

3 0

3 years ago

Three years after a company was founded, its assets were $11,283,500. Ten years after being founded, its assets had grown to $21

grigory [225]

Answer:

Step-by-step explanation:

Given

Step one:

Company's initial asset value = $11,283,500

Company's final asset value = $21,794,600

Step two

we can calculate the company's asset appreciation after 10 years as

$21,794,600- $11,283,500= $10,511,100

Step three

Hence, the growth rate of the company's asset value per year can be expressed as = $10,511,100/10= $1,051,110

6 0

3 years ago

In the figure below, m<3 = 136. Find m <1, m<2, and m<4 please explain

erik [133]

Answer:

angle 3=angle (vertical opposite angle)

angle 3 +angle 2=180°(by linear pair)

136°+angle 2=180°

angle 2=180°-136°

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angle 2=angle 4(by vertical opposite angle)

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3 years ago

Given vectors<br> p=2i-j<br> q= -i+j<br> find 1. p+q, 2. p-q, 3. 2p-3q

Romashka [77]

Answer:

See below

Step-by-step explanation:

$p=2i-j$

$q=-i+j$

$p+q=(2i-j)+(-i+j)=2i-j-i+j=i$

$p-q=(2i-j)-(-i+j)=2i-j+i-j=3i-2j$

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8 0

3 years ago

Simon is riding a bike at 12 km/h away from his friend Keesha. He throws a ball at 5 km/h back to Keesha, who is standing still

Nimfa-mama [501]

Keesha would say the ball is traveling at 7 km/h. The correct option is the second option 7 km/h

<h3>What is relative velocity? </h3>

<em>Relative velocity </em>is defined as the velocity of an object with respect to another observer.

From the question, we are to determine how fast Keesha would say the ball is traveling. That is, the relative velocity

Relative velocity of the ball = 12 km/h - 5 km/h

Relative velocity of the ball = 7 km/h

Hence, Keesha would say the ball is traveling at 7 km/h. The correct option is the second option 7 km/h

Lear more on Relative velocity here: brainly.com/question/13363067

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2 years ago