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2 years ago

#2 which table describes a function ??

Mathematics

1 answer:

Ludmilka [50]2 years ago

4 0

Answer:

Step-by-step explanation:

A function can only have one y-output per x-input (However, it is ok for one y-output to have multiple x-inputs). The only table that doesn't contain two y-outputs for one x-input is H.

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a wheel has a diameter of 15cm. The wheel travels 50 metres. How many revolutions does the wheel complete?

TEA [102]

Answer:

106

Step-by-step explanation:

The diameter of the wheel is 15 cm or 0.15 m.

The circumference of the wheel is 0.15π m ≈ 0.47 m.

So the wheel moves 0.47 m with each revolution.

The wheel travels 50 m, so the number of revolutions is:

(50 m) / (0.47 m/rev) ≈ 106 revolutions.

8 0

2 years ago

Vertices A and B of triangle ABC are on one bank of a river, and vertex C is on the opposite bank. The distance between A and B

Anna71 [15]

Answer:

The length of side b is 179 ft

Step-by-step explanation:

Given triangle ABC in which

∠A = 33°, ∠B = 63°, c=200

we have to find the length of b

In ΔABC, by angle sum property of triangle

∠A+∠B+∠C=180°

33°+63°+∠C=180°

∠C=180°-33°-63°=84°

By sine law,

$\frac{\sin \angle A}{a}=\frac{\sin \angle B}{b}=\frac{\sin \angle C}{c}$

$\frac{\sin \angle B}{b}=\frac{\sin \angle C}{c}$

$\frac{\sin 63^{\circ}}{b}=\frac{\sin 84^{\circ}}{200}$

$b=200\times \frac{\sin 63^{\circ}}{\sin 84^{\circ}}=179.182887\sim 179 ft$

The length of side b is 179 ft

Option C is correct.

7 0

2 years ago

Which equation represents the polar form of x² + (y + 4)² = 16?

Paraphin [41]

$x^2+y^2=r^2\hspace{5em}x=r\cos(\theta )\hspace{5em}y=r\sin(\theta ) \\\\[-0.35em] ~\dotfill\\\\ x^2+(y+4)^2=16\implies x^2+\stackrel{binomial~expansion}{y^2+8y+16}=16 \\\\\\ \underset{x^2+y^2}{r^2} + 8(~\underset{8y}{r\sin(\theta )}~)=16-16\implies r^2+8r\sin(\theta)=0 \\\\\\ r^2=-8r\sin(\theta )\implies \cfrac{r^2}{r}=-8\sin(\theta )\implies r=-8\sin(\theta )$

3 0

1 year ago

The diagram below shows the dimensions of a triangular park built in a new housing development. Two side lengths and one angle m

evablogger [386]

ANSWER

$x = 50.5 \degree$

EXPLANATION

We use the sine rule for solving triangles.

This is given by the formula,

$\frac{ \sin(A) }{a} = \frac{ \sin(B) }{b} = \frac{ \sin(C) }{c}$

From the triangle,

$\frac{ \sin(x) }{60} = \frac{ \sin(40) }{50}$

We multiply both sides of the equation by 60 to get,

$sin(x) = \frac{ 60\sin(40 \degree) }{50}$

$sin(x) = 0.7713$

We solve for x to obtain,

$x = arcsin(0.7713)$

$x = 50.475$

To the nearest tenth, we round to one decimal place to get,

$x = 50.5 \degree$

7 0

3 years ago

Please help!! I need to go to the next question!

tino4ka555 [31]

Given:

The inequality is:

$3t+1\leq 5$

To find:

The graph of the given inequality.

Solution:

We have,

$3t+1\leq 5$

Subtract both sides by 1.

$3t\leq 5-1$

$3t\leq 4$

Divide both sides by 3.

$t\leq \dfrac{4}{3}$

The value of t is less than or equal to $\dfrac{4}{3}$ .

Since $t\leq \dfrac{4}{3}$ , it means $\dfrac{4}{3}$ is included in the solution, therefore there is a closed circle at $t=\dfrac{4}{3}$ and an arrow approaches to left from $t=\dfrac{4}{3}$ .

Therefore, the correct option is A.

5 0

2 years ago