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2 years ago

Kevin wants to hike the Pacific Crest Trail, which is 2,653 miles long. If Kevin wants to

Mathematics

1 answer:

Mars2501 [29]2 years ago

4 0

Answer:

378

Step-by-step explanation:

2,653 divided by 7

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What is the distance between the points (2, 4) and (7, 16)? 13 15.4 16 24

Veronika [31]

If you do the distance formula you get 13 as the answer.

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3 years ago

Given: △ABC, m∠A=60° m∠C=45°, AB=8 Find: Perimeter of △ABC, Area of △ABC . FIRST CORRECT ANSWER GETS POINTS AND BRAINLIEST!!!! T

Ad libitum [116K]

Answer:

Given : In △ABC, m∠A=60°, m∠C=45°,and AB=8 unit

Firstly, find the angles B

Sum of measures of the three angles of any triangle equal to the straight angle, and also expressed as 180 degree

∴m∠A+ m∠B+m∠C=180 ......[1]

Substitute the values of m∠A=60° and m∠C=45° in [1]

$60^{\circ}+ m\angle B+45^{\circ}=180^{\circ}$

$105^{\circ}+ m\angle B=180^{\circ}$

Simplify:

$m\angle B=75^{\circ}$

Now, find the sides of BC

For this, we can use law of sines,

Law of sine rule is an equation relating the lengths of the sides of a triangle to the sines of its angles.

$\frac{\sin A}{BC} = \frac{\sin C}{AB}$

Substitute the values of ∠A=60°, ∠C=45°,and AB=8 unit to find BC.

$\frac{\sin 60^{\circ}}{BC} =\frac{\sin 45^{\circ}}{8}$

then,

$BC = 8 \cdot \frac{\sin 60^{\circ}}{\sin 45^{\circ}}$

$BC=8 \cdot \frac{0.866025405}{0.707106781} =9.798$ unit

Similarly for AC:

$\frac{\sin B}{AC} = \frac{\sin C}{AB}$

Substitute the values of ∠B=75°, ∠C=45°,and AB=8 unit to find AC.

$\frac{\sin 75^{\circ}}{AC} =\frac{\sin 45^{\circ}}{8}$

then,

$AC = 8 \cdot \frac{\sin 75^{\circ}}{\sin 45^{\circ}}$

$AC=8 \cdot \frac{0.96592582628}{0.707106781} =10.9283$ unit

To find the perimeter of triangle ABC;

Perimeter = Sum of the sides of a triangle

i,e

Perimeter of △ABC = AB+BC+AC = 8 +9.798+10.9283 = 28.726 unit.

To find the area(A) of triangle ABC ;

Use the formula:

$A = \frac{1}{2} \times AB \times AC \times \sin A$

Substitute the values in above formula to get area;

$A=\frac{1}{2} \times 8 \times 10.9283 \times \sin 60^{\circ}$

$A = 4 \times 10.9283 \times 0.86602540378$

Simplify:

Area of triangle ABC = 37.856 (approx) square unit

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2 years ago

The sum of 1/11 and 1/15 is closest to 0 1 or 2

vova2212 [387]

It is closer 1/11 is closer to 2 and 01 because it's smaller , 1/15 is also close but not as close

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3 years ago

Solve 5-3^x=-40 round to the nearest ten-thousandth

solong [7]

5-3^x = -40

subtract 5 from each side to get

-3^x=-45

divide both sides by -1 to make them positive

3^x = 45

need to do the natural logarithm on both sides to remove the variable from the exponent

so ln(3^x) = ln(45)

use logarithm rule to move x out

x ln (3) = ln(45)

dive each term by ln(3) then simplify to get

ln(3)/ln(45)

so x = ln(3)/ln(45) which calculates out to 3.46497352

round off to ten thousandths is 3.4650

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3 years ago

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What expression is equivalent to x+x+x+2

Nataly_w [17]

Answer:

Step-by-step explanation:

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3 years ago

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