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3 years ago

Solve. 4(a+2)=14-2(3-2a) A. -2 B. All real numbers C.-1 D. No solution

Mathematics

2 answers:

Effectus [21]3 years ago

6 0

Answer:

The answer is (B) = All real numbers

Step-by-step explanation:

mark as brainliest!!!!!!!!

White raven [17]3 years ago

3 0

4a+8=14-6+4a. 4a+8=8+4a so I think it's B

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What is the length of BC , rounded to the nearest tenth?

Arte-miy333 [17]

Step $1$

In the right triangle ADB

Find the length of the segment AB

Applying the Pythagorean Theorem

$AB^{2} =AD^{2}+BD^{2}$

we have

$AD=5\ units\\BD=12\ units$

substitute the values

$AB^{2}=5^{2}+12^{2}$

$AB^{2}=169$

$AB=13\ units$

Step $2$

In the right triangle ADB

Find the cosine of the angle BAD

we know that

$cos(BAD)=\frac{adjacent\ side }{hypotenuse}=\frac{AD}{AB}=\frac{5}{13}$

Step $3$

In the right triangle ABC

Find the length of the segment AC

we know that

$cos(BAC)=cos (BAD)=\frac{5}{13}$

$cos(BAC)=\frac{adjacent\ side }{hypotenuse}=\frac{AB}{AC}$

$\frac{5}{13}=\frac{AB}{AC}$

$\frac{5}{13}=\frac{13}{AC}$

solve for AC

$AC=(13*13)/5=33.8\ units$

Step $4$

Find the length of the segment DC

we know that

$DC=AC-AD$

we have

$AC=33.8\ units$

$AD=5\ units$

substitute the values

$DC=33.8\ units-5\ units$

$DC=28.8\ units$

Step $5$

Find the length of the segment BC

In the right triangle BDC

Applying the Pythagorean Theorem

$BC^{2} =BD^{2}+DC^{2}$

we have

$BD=12\ units\\DC=28.8\ units$

substitute the values

$BC^{2}=12^{2}+28.8^{2}$

$BC^{2}=973.44$

$BC=31.2\ units$

therefore

the answer is

$BC=31.2\ units$

8 0

3 years ago

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How can you use division to find the decimal equivalent of a rational number ?

Naily [24]

Answer:

Rational numbers' decimal representations either finish or repeat a pattern. Divide the top by the bottom, the numerator by the denominator to convert fractions to decimals, and if the division doesn't come out evenly, round off after a specific number of decimal places.

Step-by-step explanation:

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2 years ago

Given the line 2y=−3x+5 , determine the relationship to the line below. Is it perpendicular, parallel, intersecting (but not per

aliya0001 [1]

Answer:

coinciding

Step-by-step explanation:

If you divide the second equation by 3, you get the first equation. They describe the same line, so the lines are coinciding.

6 0

2 years ago

Consider it this cone with a diameter of 19 cm use the drop-down menus to describe the con measurements

MAVERICK [17]

Answer:

1) Radius of the cone = 9.5 cm

2) BA = 90.25 π cm²

3) SA = 384.7 π cm²

Step-by-step explanation:

1) Radius of the cone = 9.5 cm

2) Base Area of the cone = $\pi r^2$

BA = (π)(9.5)²

BA = 90.25 π cm²

3) Surface Area of Cone = $\pi r(r+\sqrt{h^2+r^2)}$

SA = π(9.5)(9.5 + √(29.5)²+(9.5)²)

SA = 9.5π(9.5 + 31)

SA = 9.5π(40.5)

SA = 384.7 π cm²

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3 years ago

The bird population on an island is declining at a rate of 2.2% per year. If the population was 3500 in the year 2009, which is

Vinil7 [7]

Given:
2009 : 3,500 population
decrease of 2.2% per year.
100% - 2.2% = 97.8%

2014 - 2009 = 5 years

3,500 * (0.978)^5 = 3,500 * 0.89473 = 3131.57

The bird population in 2014 will be 3,131.57 or 3,132.

7 0

2 years ago

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