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vladimir2022 [97]
2 years ago
11

The ratio of the measures

Mathematics
1 answer:
IRINA_888 [86]2 years ago
6 0

Answer:

The ratio of the angles in a triangle is 3:10:7. What is the measure of the smallest angle?

Answer :

The measure of the smallest angle is 27°.

Step-by-step explanation :

Given, the ratio of the angles of the triangle are = 3 : 10 : 7

Let the angles be 3x, 10x and 7x.

By Angle Sum Property,

⇒

⇒

⇒

⇒

So,

⇒

⇒

⇒

Step-by-step explanation:

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A bicycle tire has a diameter of 3 feet. How many turns of the wheel could it take for the bicycle to go 792 feet?​
Andrew [12]

Answer:

84 complete turns

Step-by-step explanation:

In order to find the number of turns that the bicycle wheel is going to take while going 792 feet, we need to find the circumference of the wheel.

C = \pi \: d = 3.14 \times 3 = 9.42 \: ft \\ no \: of \: turns =  \frac{792}{9.42}  \\  = 84.0764331 \\  = 84 \: turns

7 0
3 years ago
Find the area of a sector with a central angle of 120° and a diameter of 7.3 cm. Round to the nearest tenth.
Andru [333]

Answer:14cm^{2}

Step-by-step explanation:

diameter=7.3cm

radius=\frac{diameter}{2}

          =\frac{7.3}{2}

          =3.65cm

angle =120°

area=\frac{angle (tita)}{360} × \frac{\pi r^{2} }{1}

=\frac{120}{360} × \frac{22}{7} ×3.65^{2}

=13.95cm^{2}

≅14cm^{2}

6 0
3 years ago
This probability distribution shows the
EastWind [94]

Answer:

this answer is 3 for b i got it right

7 0
2 years ago
to convert 67,000 inches into miles, which two ratios could you multiply by? algebra a. 12in\1 foot and 1mile\ 5280 feet b. 1 fo
Mrrafil [7]
Use these conversions:

1 foot = 12 in

1 mile = 5280 feet

67000 in * [1 ft /12 in] * [1 mile/5280 ft]

Then the answer is the option c.
4 0
3 years ago
7. Given a right triangle as shown below, use a calculator to estimate the length of the
Wewaii [24]

Answer:

D. 11.6 cm

Step-by-step explanation:

The missing length of the right angled triangle can be calculated using Pythagorean Theorem as shown below:

c^2 - b^2 = a^2

Where,

a = x cm

b = 11 cm

c = 16 cm

Thus:

16^2 - 11^2 = x^2

256 - 121 = x^2

135 = x^2

\sqrt{135} = \sqrt{x^2}

\sqrt{135} = x

11.61895 = x

x = 11.6 cm (nearest tenth)

5 0
3 years ago
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