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3 years ago

(can someone please help me answer this question i will make you brainliast)

Mathematics

1 answer:

cricket20 [7]3 years ago

5 0

Answer:

x = 5 $\sqrt{3}$

Step-by-step explanation:

Using the tangent ratio and the exact value

tan60° = $\sqrt{3}$ , then

tan60° = $\frac{opposite}{adjacent}$ = $\frac{x}{5}$ = $\sqrt{3}$ ( multiply both sides by 5 to clear the fraction )

x = 5 $\sqrt{3}$

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Two lines L1 and L2 pass through the point of intersection of 2y=x-13 and 3y+x+12=0. L1 passes through P(-4,-7) and L2 is perpen

alexgriva [62]

Answer:

84°

Step-by-step explanation:

1. <u>point of intersection of 2y=x-13 and 3y+x+12=0</u>

x = 2y + 13 ==> 3y + (2y+13) + 12 = 0 ==> 5y + 25 = 0 ==> y = -5

x = 2*(-5) +13 = 3

point of intersection: (3 , -5) L1: pass (3 , -5) and (-4 , -7)

slope of L1 = (-7 - -5)/(-4-3) = -2 / -7 = 2/7

L2 pass (3 , -5) perpendicular to 2x-5y=4

2x-5y=4 ==> y = 2/5 x - 4 slope = 2/5

so slope of L2 = -5/2

angle Θ between two slopes: tan Θ = | (m2-m1) / (1 + m1*m2)|

==> = | (-5/2 - 2/7) / (1 + -5/2*2/7) | = |(-39/14) / (4/14) | = |- 39/4| = 39/4 = 9.75

Θ = 84°

6 0

3 years ago

What is the perimeter of a square with an area of 64 m2?

Alenkasestr [34]

Each side would be = square root of 64 which is 8m

Perimeter = 8 * 4 = 32 m.

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3 years ago

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Canada has a population that is about 1/10 as large as the united states. If canadas population is about 32 million, about how m

Mice21 [21]

Call Canada's population $c$ , and call the U.S. population $u$ .

We see that $c=\frac{u}{10}$ . Substituting 32 million for c, we see that $32,000,000=\frac{u}{10}$ . Multiplying by ten, we see that $320,000,000=u$ . By using Algebra properly, we have ensured that the number of zeroes in our final answer is correct.

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3 years ago

If a musician uses his credit card to pay for a new violin that costs $2,900 and does not pay on it until the second month, what

OLEGan [10]

Answer:

$97.15.

Step-by-step explanation:

We have been given that a musician uses his credit card to pay for a new violin that costs $2,900 and does not pay on it until the second month. The interest rate of credit card is 3.35% monthly.

We will use interest formula to solve our given problem.

$I=PrT$ , where,