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2 years ago

What is the answer for this question?

Mathematics

1 answer:

grandymaker [24]2 years ago

5 0

Answer:

Step-by-step explanation:

$\frac{11\pi }{6}$ is in the fourth quadrant where tan < 0

The related acute angle = 2π - $\frac{11\pi }{6}$ = $\frac{\pi }{6}$

Hence

tan( $\frac{11\pi }{6}$ )

= - tan( $\frac{\pi }{6}$ )

= - $\frac{1}{\sqrt{3} }$

= - $\frac{1}{\sqrt{3} }$ × $\frac{\sqrt{3} }{\sqrt{3} }$

= - $\frac{\sqrt{3} }{3}$ → A

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Speed = distance divided by time taken. car 1 travels 10 miles every 5 minutes. car 2 travels 30 miles every 20 minutes. what is

Setler [38]

Car 1
2 miles............................1 minute
10 miles.........................5 minutes
20 miles.........................10 minutes
40 miles..........................20 minutes
car2
1.5 miles...........................1 minute
15miles.............................10 minutes
30 miles...........................20 minutes
the difference is 0.5 miles per minute

0.5*60=30 miles/hour

5 0

2 years ago

Eurostar is a high-speed railway service connecting

Setler79 [48]

Answer:

649 trains

Step-by-step explanation:

If there are 30 seats per carriage, and there is 18 carriages per train.

You multiple 30 and 18 to get how many seats there are in a train.

30*18 is 540 seats.

To figure out how many trains would be needed to seat 350,000 passenger, you have to divide 350,000 with 540 to get how many trains would be needed.

350,000/540 is 648.1

Since the answer is 648.1 and you can't chop a train into 10 pieces, you would need 649 trains to seat 350, 000 passengers.

8 0

2 years ago

Maths functions question

yarga [219]

Answer:

a) OA = 1 unit

b) OB = 3 units

c) AB = √10 units

Step-by-step explanation:

<u>Given function</u>:

$g(x)=2^x$

Point A is the y-intercept of the exponential curve (so when x = 0).

To find the y-value of Point A, substitute x = 0 into the function:

$\implies g(0)=2^0=1$

Therefore, A (0, 1) so OA = 1 unit.

If BC = 8 units then the y-value of Point C is 8.

The find the x-value of Point C, set the function to 8 and solve for x:

$\begin{aligned}f(x) & = 8 \\\implies 2^x & = 8\\2^x & = 2^3\\\implies x &= 3\end{aligned}$

Therefore, C (3, 8) so Point B is (3, 0). Therefore, OB = 3 units.

From parts (a) and (b):

A = (0, 1)
B = (3, 0)

To find the length of AB, use the distance between two points formula:

$d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}$

$\textsf{where }(x_1,y_1) \textsf{ and }(x_2,y_2)\:\textsf{are the two points.}$

Therefore:

$\implies \sf AB=\sqrt{(x_B-x_A)^2+(y_B-y_A)^2}$

$\implies \sf AB=\sqrt{(3-0)^2+(0-1)^2}$

$\implies \sf AB=\sqrt{(3)^2+(-1)^2}$

$\implies \sf AB=\sqrt{9+1}$

$\implies \sf AB=\sqrt{10}\:\:units$

5 0

1 year ago

HELP HELP HELP PLEASE:)) Find the slope and y-intercept

inna [77]

Answer:

Answer choice A

Step-by-step explanation:

Use the slope intercept form y = mx + b to find the slope m and y-intercept b.

Slope = 4/3

y intercept = (0,-3)

Therefore the answer choice is A, 4/3 ; -3

Please mark brainliest if possible ;)

5 0

2 years ago

I WILL MARK BRAINLIEST !!! Harper is going to invest $6,900 and leave it in an account for 12 years. Assuming the

Komok [63]

Answer:

4.4%

Step-by-step explanation:

A=P\left(1+\frac{r}{n}\right)^{nt}

A=P(1+

)

Compound interest formula

A=11700\hspace{35px}P=6900\hspace{35px}t=12\hspace{35px}n=365

A=11700P=6900t=12n=365

Given values

11700=

\,\,6900\left(1+\frac{r}{365}\right)^{365(12)}

6900(1+

365

)

365(12)

Plug in values

11700=

\,\,6900\left(1+\frac{r}{365}\right)^{4380}

6900(1+

365

)

4380

Multiply

\frac{11700}{6900}=

6900

11700

\,\,\frac{6900\left(1+\frac{r}{365}\right)^{4380}}{6900}

6900

6900(1+

365

)

4380

Divide by 6900

1.695652174=

\,\,\left(1+\frac{r}{365}\right)^{4380}

(1+

365

)

4380

\left(1.695652174\right)^{1/4380}=

(1.695652174)

1/4380

\,\,\left[\left(1+\frac{r}{365}\right)^{4380}\right]^{1/4380}

[(1+

365

)

4380

]

1/4380

Raise both sides to 1/4380 power

1.000120571=

\,\,1+\frac{r}{365}

365

-1\phantom{=}

−1=

\,\,-1

−1

Subtract 1

0.000120571=

\,\,\frac{r}{365}

365

365\left(0.0001206\right)=

365(0.0001206)=

\,\,\left(\frac{r}{365}\right)365

(

365

)365

Multiply by 365

0.044008415=

\,\,r

4.4008415\%=

4.4008415%=

\,\,r

7 0

2 years ago

Read 2 more answers