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3 years ago

What is the measure of the complement of each angle? 87 degrees

Mathematics

1 answer:

Scorpion4ik [409]3 years ago

7 0

Answer:

3°

Step-by-step explanation:

Hi there !

complementary angles = the sum of angles is 90°

a + b = 90°

a = 87°

b = 90° - 87°

b = 3°

Good luck !

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Where does the graph of y= sin x from x = 0 to x = 2n1 start?

stepladder [879]

Answer:

Step-by-step explanation:

when x=0,sin x=0

when x=30° or π/6

sinx=1/2=0.5

when x=45° or π/4

sin x=√2/2≈1.414/2≈0.707

when x=60° or π/3

sinx=√3/2≈1.732/2≈0.866

when x=90° or π/2

sin x=1

when x=120° 2π/3

sin 120=sin (180-60)=sin 60 ≈0.866

when x=135° or 3π/4

sin 135=sin (180-45)=sin 45≈0.707

when x=150° or 5π/6

sin 150=sin (180-30)=sin 30=0.5

when x=180 or π

sin 180=sin(180-0)=sin 0=0

when x=210° or 7π/6

sin 210=sin (180+30)=-sin 30=-0.5

when x=225° or 5π/4

sin x=sin (180+45)=-sin 45≈-0.707

when x=240° or 4π/3

sin 240=sin (180+60)=-sin 60≈ -0.866

when x=270° or 3π/2

sin 270=sin (180+90)=-sin 90=-1

when x=300° or 5π/3

sin 300=sin(360-60)=-sin 60≈ -0.866

when x=315°or 7π/4

sin 315=sin (360-45)= -sin 45≈ -0.707

when x=330° or 13π/6

sin 330=sin (360-30)= -sin 30 =-0.5

when x=360 or 2π

sin (360)=sin (360+0)=sin 0=0

plot all these points on the graph,you get the reqd. graph.

you see it starts on (0,0)

6 0

4 years ago

What is 75/12 as a mixed number ?

Mkey [24]

The answer is 6 3/12

7 0

4 years ago

Read 2 more answers

The Morris family spent 9 days at Lake Tahoe and San Francisco. The total cost of the trip was $3,650.

BartSMP [9]

Answer:

a) A + B = 9

350A + 475B = 3650

where A = number of days spend at Lake Tahoe

B = number of days spent in San Francisco

b) A = 5 days

B = 4 days.

Hence, the Morris family spent 5 days at Lake Tahoe and spent 4 days at San Francisco

Step-by-step explanation:

a) Let the number of days spend at Lake Tahoe be A

And the number of days spend at San Francisco be B

Total number of days spend on the trip = 9

A + B = 9

Total cost of the whole 9-day trip = $3650

Cost per day at Lake Tahoe = $350

Total cost of staying A days at Lake Tahoe = $350A

Cost per day of staying at San Francisco = $475

Total cost of staying B days in San Francisco = $475B

350A + 475B = 3650

The two equations are

A + B = 9

350A + 475B = 3650

b) Use the substitution method to solve this.

A + B = 9 (eqn 1)

350A + 475B = 3650 (eqn 2)

Make A the subject of formula in eqn 1

A = 9 - B

Then, substitute this for A in eqn 2

350A + 475B = 3650

350(9 - B) + 475B = 3650

3150 - 350B + 475B = 3650

125B = 500

B = (500/125) = 4

A = 9 - B = 9 - 4 = 5

Hence, they spent 5 days at Lake Tahoe and spent 4 days at San Francisco.

Hope this Helps!!!

4 0

3 years ago

Read 2 more answers

Can anyone solve question 13 a and b?

olchik [2.2K]

$\bf \cfrac{\sqrt{16}}{2}-\sqrt[4]{16}\implies \cfrac{4}{2}-\sqrt[4]{2^4}\implies 2-2\implies 0$

recall that the whole numbers is the set of 0,1,2.... onwards

$\bf -\sqrt{36}+\sqrt[3]{125}\implies -\sqrt{6^2}+\sqrt[3]{5^3}\implies -6+5\implies -1$

recall that integers are just whole numbers, positive or negative.

7 0

3 years ago

valentinak56 [21]

9514 1404 393

Answer:

30x +25y = 148

Step-by-step explanation:

We can use substitution to find the point of intersection of ...

3x +14 = 2y
x + y = 6

Using the second equation, we can write an expression for y:

y = 6 -x

Substituting that into the first equation gives ...

3x +14 = 2(6 -x)

3x +14 = 12 -2x . . . . . eliminate parentheses

5x = -2 . . . . . . . . . . . add 2x-14

x = -0.4 . . . . . . . . . divide by 5

y = 6 -(-0.4) = 6.4

Now, we want an equation for a line through the point (-0.4, 6.4) that is perpendicular to 5x = 6y+1

The perpendicular line will have the coefficients swapped with one of them negated. The constant will accommodate the given point.

6x = -5y + c

6(-0.4) +5(6.4) = c = 29.6

The perpendicular line can be written ...

6x = -5y +29.6

In standard form, the equation is ...

30x +25y = 148

4 0

3 years ago