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4 years ago

Express 31 billion in scientific notation

Mathematics

1 answer:

ella [17]4 years ago

5 0

3.1 x 10^10

Yeah, that's it.

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What does angle α equal if β=α+30° ?

Semenov [28]

Angle α and β are supplementary angles and when added together equal 180.

Set up an equation:

α + β = 180

β = α +30

Replace β in the first equation, to get:

α + α +30 = 180

Simplify:

2α +30 = 180

Subtract 30 from both sides:

2α = 150

Divide both sides by 2:

α = 150 /2

α = 75 degrees.

8 0

3 years ago

1. Which expression is equivalent to 4(x + 1) – 7(x + 3)?

Nadusha1986 [10]

Answer:

Ez -3x+25

Step-by-step explanation:

4x+4-7x+21=

-3x+25

Brainliest plzzzz

7 0

3 years ago

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Question 8 Find the unit vector in the direction of (2,-3). Write your answer in component form. Do not approximate any numbers

slamgirl [31]

Answer:

The unit vector in component form is $\hat{u} = \left(\frac{2}{\sqrt{13} },-\frac{3}{\sqrt{13}} \right)$ or $\hat{u} = \frac{2}{\sqrt{13}}\,i-\frac{3}{13}\,j$ .

Step-by-step explanation:

Let be $\vec u = (2,-3)$ , its unit vector is determined by following expression:

$\hat {u} = \frac{\vec u}{\|\vec u \|}$

Where $\|\vec u \|$ is the norm of $\vec u$ , which is found by Pythagorean Theorem:

$\|\vec u\|=\sqrt{2^{2}+(-3)^{2}}$

$\|\vec u\| = \sqrt{13}$

Then, the unit vector is:

$\hat{u} = \frac{1}{\sqrt{13}} \cdot (2,-3)$

$\hat{u} = \left(\frac{2}{\sqrt{13} },-\frac{3}{\sqrt{13}} \right)$

The unit vector in component form is $\hat{u} = \left(\frac{2}{\sqrt{13} },-\frac{3}{\sqrt{13}} \right)$ or $\hat{u} = \frac{2}{\sqrt{13}}\,i-\frac{3}{13}\,j$ .

6 0

3 years ago

What is (2x +10) + 3x+15)

Rus_ich [418]

Answer:

Factoring answer-

5(5x+5)

simplify answer-

5x+25

Step-by-step explanation:

photomath

4 0

3 years ago

In the diagram, BC ≅ EF and ∠A and ∠D are right angles.

babunello [35]

Answer:

a)8

Step-by-step explanation:

4x+2=34,x=8

ED=AB=34

EF=BC(given)

angle A=angle D(given)

therefore when x=8, Tri BCA congruent Tri EFD (reason:HL)

7 0

3 years ago

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