All categories

3 years ago

Geometry Question Help if you can please

Mathematics

1 answer:

docker41 [41]3 years ago

5 0

Answer:

≈ 78.55 cm

Step-by-step explanation:

Using the ratio of arc (AB) to circumference (C) is equal to the ratio of angle subtended at centre by arc AB to 360°, that is

$\frac{AB}{C}$ = $\frac{110}{360}$ , that is

$\frac{24}{C}$ = $\frac{110}{360}$ ( cross- multiply )

110C = 8640 ( divide both sides by 110 )

C = $\frac{8640}{110}$ ≈ 78.55 cm ( to 2 dec. places )

You might be interested in

Find the value of x by using law of sines.

Pavel [41]

Answer:

x = 7.7

Option B

Step-by-step explanation:

$\frac{a}{Sin~A} &=& \frac{b}{Sin~b} \\ \frac{8}{Sin~73^\circ} &=& \frac{x}{Sin~67^\circ} \\ \frac{8}{0.96} &=& \frac{x}{0.92} \\ 0.96x &=& 8 \times 0.92 \\ 96x &=& 8 \times 92 \\ 96x &=& 736 \\ x &=& \frac{736}{96} \\ x&=& \frac{23}{3} \\ &\boxed{x=7.7}&$

∴ value of x is 7.7

3 0

3 years ago

On their first dive, researchers explore a part of the ocean floor that is 60 feet

DENIUS [597]

Answer:

d < -60

Step-by-step explanation:

Let d represent the depth of the researchers' second dive.

Given;

Depth of First dive = -60 ft

It was stated that in their second dive, the researchers explore a deeper depth, That is depth deeper than 60 ft.

Since the depth of 60ft is represented by the integer -60,

Deeper depth would be represented by integers less than -60.

So, d can be represented as;

d < -60

3 0

3 years ago

The question is below thanks

Paha777 [63]

Answer:

FH ~ 10.02

Step-by-step explanation:

1. Approach

One should first find the circumference of the given circle. Then one should find how large the fraction of the circumference one is supposed to find is. Finally, one should multiply the fraction of the circumference one is supposed to find by the total circumference.

2. Circumference of the circle

The formula for circumference is;

$2r$ π

Substitute in the given values;

It is given that the radius is, hence

2 (7) π

14π

3. Find the fraction of the circumference one is supposed to find

It is given that the angles over the measure of the total degrees of angles in a circle are equal to the arc surrounding the angles of the circumference. Essentially;

$\frac{angles}{360}=\frac{arc}{circumference}$