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2 years ago

James age is 3 years less than twice Tori's age the sum of their ages is 30 find their ages

Mathematics

1 answer:

blagie [28]2 years ago

7 0

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Find the length of AB. Leave

vovikov84 [41]

Answer:

AB = 3π

Step-by-step explanation:

See attachment for correct format of question.

Given

From the attachment, we have that

θ = 20°

Radius, r = 27

Required

Find length of AB

AB is an arc and it's length can be calculated using arc length formula.

$Length = \frac{\theta}{360} * 2\pi r$

Substitute 20 for θ and 27 for r

$Length = \frac{20}{360} * 2\pi *27$

$Length = \frac{20 * 2\pi * 27}{360}$

$Length = \frac{1080 \pi}{360}$

$Length = 3\pi$

Hence, the length of arc AB is terms of π is 3π

3 0

3 years ago

Does a=2.1 b=7.2 c=7.5 form a right triangle

Anna007 [38]

Answer:

Yes

Step-by-step explanation:

If the longest side squared is equal to the sum of the squares on the other 2 sides then they form a right triangle

longest side = 7.5

7.5² = 56.25

2.1² + 7.2² = 4.41 + 51.84 = 56.25

Thus the 3 values form a right triangle.

6 0

2 years ago

Read 2 more answers

A community swimming pool is a rectangular prism that is 30 feet long, 12 feet wide, and 5 feet deep. The wading pool is half as

topjm [15]

Answer:

The volume of the community swimming pool is 4 times greaters than the volume of the wading pool.

Step-by-step explanation:

By definition of rectangular prism, we get the respective formulas for the volumes of the community swimming pool and the wadling pool, respectively:

Community swimming pool

$V_{c} = l\cdot w\cdot h (1)$

Wading pool

$V_{w} = \left(\frac{1}{2}\cdot l \right)\cdot \left(\frac{1}{2}\cdot h\right)\cdot w (2)$

Where:

l – Length of the swimming pool, measured in feet.

h – Depth of the swimming pool, measured in feet.

w – Width of the swimming pool, measured in feet.

$V_{c}$ – Volume of the community swimming pool, measured in cubic feet.

$V_{w}$ – Volume of the wading swimming pool, measured in cubic feet.

The ratio of the volume of the community swimming pool to the volume of the wadling pool is:

$\frac{V_{c}}{V_{w}} = \frac{l\cdot w \cdot h}{\left(\frac{1}{2}\cdot l \right)\cdot \left(\frac{1}{2}\cdot h\right)\cdot w} (3)$

$\frac{V_{c}}{V_{w}} = \frac{1}{\frac{1}{4} }$

$\frac{V_{c}}{V_{w}} = 4$

The volume of the community swimming pool is 4 times greaters than the volume of the wading pool.

8 0

2 years ago

Read 2 more answers

A large emerald with a mass of 378.24 grams was recently discovered in a mine. If the density of the emerald is 2.76 grams over

stepan [7]

Answer:

137.04 cm³

Step-by-step explanation:

Mass = Density*Volume
V = m/d
V = 378.24/2.76 = 137.04 cm³ (rounded)

5 0

2 years ago

Read 2 more answers

Charles traveled for 4 hours at 80 miles per hour. He then went 3 more hours at 65 miles per hour. Find the speed fro the entire

Akimi4 [234]

1 hour is 15m
2 hour is 30m
3 hour is 65m
4 hour is 80m

5 0

3 years ago