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Angelina_Jolie [31]

3 years ago

12

There are 10 to the 6th power millimeters in one kilometer. The distance from Dana’s house to her uncles house is 4 to the 4th p

ower kilometers. What is this distance in millimeters

1 answer:

Alex3 years ago

8 0

The answer is essentially 4^4 * 10^6

4^4 is 256, and 10^6 = 1,000,000

Knowing this, the answer should be 256,000,000

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In ΔABC, ∠B measures 35° and the values of a and b are 19 and 11, respectively. Find the remaining measurements of the triangle,

Anna35 [415]

Answer:

a) ∠A = 82.2° , ∠C = 62.8° , c = 17.01

Step-by-step explanation:

<u><em>Explanation</em></u>:-

<u><em>Step(i)</em></u>:-

Given data ∠B measures 35° and the values of a and b are 19 and 11

∠B = 35° and sides a = 19 and b = 11

<em>By using sine rule </em>

<em></em> $\frac{a}{sin A} = \frac{b}{sin B} = \frac{c}{Sin C} = 2 R$ <em></em>

now we will use

$\frac{a}{sin A} = \frac{b}{sin B}$

$\frac{19}{sin A} = \frac{11}{sin 35}$

cross multiplication , we get

$\frac{19 X sin 35}{11} = sinA$

<em>sin A = 0.990</em>

<em>A = sin⁻¹( 0.990) = 82.2°</em>

<em> ∠A = 82.2°</em>

<u><em>Step(ii):-</em></u>

we know that ∠A +∠B +∠C = 180°

∠C = 180° - ∠A -∠B

∠C = 180° -82.2°-35°

∠C = 62.8°

<u><em>Step(iii)</em></u>:-

<em>we will use formula</em>

<em></em> $\frac{b}{sin B} = \frac{c}{Sin C}$ <em></em>

<em></em> $\frac{11}{sin 35} = \frac{c}{Sin 62.8}$ <em></em>

$\frac{11 X sin (62.8)}{sin 35} = C$

<em>c = 17.01</em>

<u><em>Final answer</em></u>:-

<em> ∠A = 82.2° , ∠C = 62.8° , c = 17.01</em>

4 0

3 years ago

(please zoom / zoom out if needed to see question. (: )

Semmy [17]

A circle is 360° all the way around; therefore, if you divide an arc's<span> degree </span>measure<span> by 360°, you </span>find<span> the fraction of the circle's circumference that the </span>arc<span> makes up. Then, if you multiply the length all the way around the circle (the circle's circumference) by that fraction, you </span>get<span> the length along the </span>arc<span>.</span>

8 0

3 years ago

What is the equation of the line that has a slope of 1/5 and a y-intercept of -1

DiKsa [7]

Answer:

C y = 1/5x - 1

Step-by-step explanation:

Slope intercept form: y = mx + b where m = slope and b = y-intercept.

Substitute into the slope intercept form m= 1/5 and b = -1

y = 1/5x - 1

4 0

2 years ago

20 points...<br><br> Sherlock - please help!

antiseptic1488 [7]

Answer:

C) $\{\frac{1+\sqrt{5}}{3},\:\frac{1-\sqrt{5}}{3}\}$

Step-by-step explanation:

$(3x-1)^2=5\\\\3x-1=\pm\sqrt{5}\\\\3x=1\pm\sqrt{5}\\\\x=\frac{1\pm\sqrt{5}}{3}\\ \\\{\frac{1+\sqrt{5}}{3},\:\frac{1-\sqrt{5}}{3}\}$

3 0

2 years ago

Given: 3x < -9. Choose the solution set. {x | x < 3} {x | x > -1/3} {x | x < -3} {x | x > -3}

Mars2501 [29]

Divid both sides by 3
x<-3

{x | x<-3}

3rd choice

6 0

3 years ago