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3 years ago

Solve the equation. m2 = 43

Mathematics

2 answers:

Leto [7]3 years ago

6 0

Answer:m=21.5

Step-by-step explanation:

Mandarinka [93]3 years ago

5 0

Is that 2m=43 or m^2=43??

If 2m=43 then...

m=43/2

m=21.5

If m^2=43 then...

m=√43

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Using the attached link below.

Serhud [2]

$\text{Use the Pythagorean theorem:}\\\\r-hypotenuse\\\\r^2=7^2+5^2\\\\r^2=49+25\\\\r^2=74\to r=\sqrt{74}$

$\sin=\dfrac{opposite}{hypotenuse}\\\\\cos=\dfrac{adjacent}{hypotenuse}\\\\\tan=\dfrac{opposite}{adjacent}\\\\\cot=\dfrac{adjacent}{opposite}\\\\\text{We have}\\\\for\ the\ angle\ y:\\\text{opposite = 7}\\\text{adjacent = 5}\\\text{hypotenuse = }\ \sqrt{74}\\\\for\ the\ angle\ x:\\\text{opposite = 5}\\\text{adjacent = 7}\\\text{hypotenuse = }\ \sqrt{74}$

$\csc x=\dfrac{1}{\sin x}\\\\\sec x=\dfrac{1}{\cos x}$

$A.\\\\\sin x=\dfrac{5}{\sqrt{74}}=\dfrac{5\sqrt{74}}{74}\\\\\csc y=\dfrac{1}{\frac{7}{\sqrt{74}}}=\dfrac{\sqrt{74}}{7}\\\\B.\\\\\tan x=\dfrac{5}{7}\\\\\cot y=\dfrc{5}{7}\\\\C.\\\\\cos x=\dfrac{7}{\sqrt{74}}=\dfrac{7\sqrt{74}}{7}\\\\\sec y=\dfrac{1}{\frac{5}{\sqrt{74}}}=\dfrac{\sqrt{74}}{5}$

$D.\\\sin\theta=\dfrac{2}{3}\\\\\sin^2\theta+\cos^2\theta=1\to\left(\dfrac{2}{3}\right)^2+\cos^2\theta=1\\\\\dfrac{4}{9}+\cos^2\theta=1\qquad\text{subtract}\ \dfrac{4}{9}\ \text{from both sides}\\\\\cos^2\theta=\dfrac{5}{9}\to\cos\theta=\sqrt{\dfrac{5}{9}}\to\cos\theta=\dfrac{\sqrt5}{3}\\\\\tan\theta=\dfrac{\sin\theta}{\cos\theta}\to\tan\theta=\dfrac{\frac{2}{3}}{\frac{\sqrt5}{3}}=\dfrac{2}{3}\cdot\dfrac{3}{\sqrt5}=\dfrac{2}{\sqrt5}=\dfrac{3\sqrt5}{5}$

6 0

3 years ago

What is the value of x? <br><br><br><br>

Alecsey [184]

Answer:

The value of x is 104

Step-by-step explanation:

we are given 52 we know that 52 is within an isosceles triangle.

which means 2 sides are the same which tells us that the two angles touching the unique side will have the same measure

we also know that a triangle adds up to 180 so 52 + 52 gives us 104 meaning the last angle will be 180 - 104 which is 76

now we have completed the first triangle if

if we look at corner c we know that it's a right angle

we know that right angles are a total of 90 degrees we know that the right angle is split into two complementary angles one of them is 52 which we figured from the first part so

90 - 52 would give us 38 now we know that in triangle CDE one of the measures is 38 at the c corner and another is 90 at the E corner

once again we do 90 + 38 = 128 and subtract that from 180 giving us 52.

Now we know the measures of triangle ADC and CDE

We also know that triangle EDB is a congruent mirror reflection of CDE

So by now we have the measures of 3 triangles CDE ADC AND EDB

we also know that angle F/x is equvilant to the total of both of angle D

so we just add 52 + 52 giving us the measure of the whole angle d combined which we know is eqivilant to angle f

So after all that we know that the value of x is 104 degrees.

Hope this helps its a long explanation but please take ur time to understand and read through it :)

3 0

2 years ago

What is the equation for the line of reflection?

Alborosie

Answer:

what

Step-by-step explanation:

6 0

3 years ago

Read 2 more answers

Find each rate and unit rate. A. 420 miles in 7 hours. B 360 customers in 30 days. C 40 meters in 16 sec. part d $7.96 for 5 pou

shtirl [24]

a. 60 miles/1 hour because 420/7

b. 12 customers/1 day because 360/30

c. 2.5 meters/1 sec because 40/16

d. $1.59/1 lb because 7.96/5

3 0

3 years ago

Read 2 more answers

The graph below shows interest charges accrued on 4 different credit cards. Based on the graph, which credit card appears to hav

dezoksy [38]

Answer:

The correct option is D.card 4

Step-by-step explanation:

Consider the provided graph.

The introductory APR is a discounted interest rate which credit card companies frequently give new customers after opening an account for a fixed number of months. Most credit cards on payments, balance transfers or both offer discounted APRs.

The graph of card 4 is showing that the interest rate in Jan to Apr was lower, after Apr the interest rate increase with different slope.

Therefore, the correct option is D.card 4

4 0

3 years ago