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slava [35]
3 years ago
8

A parallelogram when one side and two diagonals are given​

Mathematics
1 answer:
9966 [12]3 years ago
6 0
Where is it? Don’t see it so uh

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How many squares can be made with 40 matchsticks
BlackZzzverrR [31]

if all the squares are the same size then 10 can be made because squares have 4 sides and 40/4= 10
7 0
4 years ago
Two gears are adjusted so that the smaller gear drives the larger one. if the smaller gear of 3.7cm rotates through an angle of
zepelin [54]

Answer:

<em>The larger gear will rotate through 156°</em>

Step-by-step explanation:

<u>Arc Length</u>

The arc length S of an angle θ on a circle of radius r is:

S = \theta r

Where θ is expressed in radians.

The smaller gear of r1=3.7 cm drives a larger gear of r2=7.1 cm. The smaller gear rotates through an angle of θ1=300°.

Convert the angle to radians:

\displaystyle \theta_1=300*\frac{\pi}{180}=\frac{5\pi}{3}

The arc length of the smaller gear is:

\displaystyle S_1=\frac{5\pi}{3}\cdot 3.7

\displaystyle S_1=\frac{18.5\pi}{3}

The larger gear rotates the same arc length, so:

\displaystyle S_2=\frac{18.5\pi}{3}

\displaystyle \theta_2\cdot r_2=\frac{18.5\pi}{3}

Solving for θ2:

\displaystyle \theta_2=\frac{18.5\pi}{3r_2}

\displaystyle \theta_2=\frac{18.5\pi}{3*7.1}

\theta_2=2.73\ radians

\displaystyle \theta_2=2.73*\frac{180}{\pi}=156

The larger gear will rotate through 156°

7 0
3 years ago
Big Brothers, Inc. borrows $267,999 from the bank at 18.16 percent per year, compounded annually, to purchase new machinery. Thi
Katyanochek1 [597]

Based on the amount borrowed and the interest per year, Big Brothers, Inc will pay an annual payment of $59,973.15.

<h3>How much will Big Brothers, Inc. pay annually?</h3>

This can be found by using the present value of an annuity formula because the annual payment will be constant and therefore like an annuity.

Formula is:

Present value of annuity = Annual payment x ( 1 - (1 + rate) ^ -number of periods) / rate

Solving gives:

267,999 = Amount x ( 1 - ( 1 + 18.16%)⁻¹⁰) / 18.16%

267,999 = Amount x 4.46865

Amount = 267,999 / 4.46865

= $59,973.15

Find out more on loan present value at brainly.com/question/15088278.

#SPJ1

6 0
2 years ago
6 is greater than or equal to x and -2 is less than x
Kryger [21]
X is any number between -1 and 6.

Numbers x can be:
x=-1
x=0
x=1
x=2
x=3
x=4
x=5
x=6
4 0
4 years ago
-
serg [7]

Answer:

2

2

2

SSS similarity

Step-by-step explanation:

7 0
3 years ago
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