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Gelneren [198K]

3 years ago

14

Solve. 12 students in the classroom and she wants to create a student to teacher ratio of three to one (three students per teach

er). how many teachers must she hire?

1 answer:

Natasha2012 [34]3 years ago

7 0

She will need a one to one ratio so to get to your ratio you need to take your 3 to 1 ratio and divide it by the 1 on 1 ratio

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Boating across a river, the current moves you downstream. Instead of going directly across the river, the boat moves at a 25 deg

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If it's described as my drawing:

The distance of downstream will be 375 * tan25 = 174.87 feet

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3 years ago

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3 years ago

A square of side lengths 5 cm. find its diagonal length

kramer

Answer:

7.07107cm

Step-by-step explanation:

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5 0

2 years ago

Right triangles abc and dbc with right angle c are given below. If cos(a)=15,ab=12 and cd=2, find the length of bd.

dmitriy555 [2]

see the attached figure to better understand the problem

we have that

$cos(A)=\frac{1}{5} \\ AB=12\ units\\ CD=2\ units$

Step 1

<u>Find the value of AC</u>

we know that

in the right triangle ABC

$cos (A)=(AC/AB)\\AC=AB*cos(A)$

substitute the values in the formula

$AC=12*(1/5)\\ AC=2.4\ units$

Step 2

<u>Find the value of BC</u>

we know that

in the right triangle ABC

Applying the Pythagorean Theorem

$AB^{2} =AC^{2}+BC^{2}\\ BC^{2}=AB^{2} -AC^{2}$

substitute the values

$BC^{2}=12^{2} -2.4^{2}\\BC^{2}= 138.24\\ BC=11.76\ units$

Step 3

<u>Find the value of BD</u>

we know that

in the right triangle BCD

Applying the Pythagorean Theorem

$BD^{2} =DC^{2}+BC^{2}$

substitute the values

$BD^{2} =2^{2}+11.76^{2}$

$BD=11.93\ units$

therefore

<u>the answer is</u>

the length of BD is 11.93 units

8 0

3 years ago

Read 2 more answers

A rectangle has a length of (5x+2) and a width of (3x-1) with an area of 308 square units. Find the perimeter

nadya68 [22]

See photo. Hope this helps

7 0

3 years ago