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3 years ago

Need some answers for this one

Mathematics

1 answer:

Schach [20]3 years ago

4 0

Answer:

20.6

Step-by-step explanation:

Since the diameter of each circle is 4, the dimensions of the rectangle is 8x12

The area of the whole rectangle is 96

Now we need to find the area of the circles

The area of 1 circle is $2^{2} *\pi =12.56$ ...

So the area of all 6 circles is 12.56*6= 75.39...

So to find the area of yellow you have to subract the area of circle from the overall area of the rectangle

96-75.4=20.6

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On a piece of paper, use a protractor to construct a triangle with angle measures of 60° and 80°. Select from the drop-down menu

maria [59]

The sum of interior angles of a triangle must add up to 180 degrees

if the triangle has an angle that is greater than 90 degrees, then it is considered obtuse

if the triangle has an angle that is 90 degrees, then it is considered right

if all angles are less than 90, then it is acute

find the missing angle "x"

180=60+80+x

is angle x less than, greater, or equal to 90 degrees?

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3 years ago

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Which trigonometric ratios are correct for triangle ABC? Check all that apply

sergij07 [2.7K]

Consider an angle M with measure m≠90°, in a right triangle.

Let

OPP denote the length of the side opposite to M,
ADJ denote the length of the side adjacent to M, and
HYP denote the hypotenuse.

then:

Sin(M) = OPP/HYP
Cos(M)= ADJ/HYPP
Tan(M)=OPP/ADJ

Back to our problem,

using the Pythagorean we can find the length of AB:

$|AB|^2+|AC|^2=|BC|^2\\\\|AB|^2+9^2=18^2\\\\|AB|^2=18^2-9^2\\\\|AB|^2=(18-9)(18+9)=9 \cdot 27=9 \cdot 9 \cdot3\\\\|AB|=9 \sqrt{3} 
$

$Sin(C)= \frac{OPP}{HYP}=\frac{9 \sqrt{3} }{18}= \frac{ \sqrt{3} }{2}$
$Cos(B)= \frac{ADJ}{HYP}= \frac{9 \sqrt{3}}{18}= \frac{ \sqrt{3}}{2}$
$Tan(C)= \frac{OPP}{ADJ}= \frac{9 \sqrt{3} }{9}= \sqrt{3}$
$Sin(B)= \frac{OPP}{HYP}= \frac{9}{18}= \frac{1}{2}$
$Tan(B)= \frac{OPP}{ADJ}= \frac{9}{9 \sqrt{3}}= \frac{1}{ \sqrt{3} }= \frac{ \sqrt{3}}{3}$

Answer: 1, 3, 4

5 0

3 years ago

A company produces three different types of wrenches: W111, W222, and W333. It has a firm order for 2,000 W111 wrenches, 3,750 W

lawyer [7]

Answer:

z (min) = 150090.8 ( monetary units ) ( $ )

x₁ = 2000 x₄ = 0 x₂ = 3382 x₅ = 368 x₃ = 0 x₆ = 1700

Step-by-step explanation:

wrenches produced in-house ( W111 = x₁ W222 = x₂ W333 = x₃ )

x₁ x₂ and x₃

wrenches produced outside (W111 = x₄ W222 = x₅ W333 = x₆ )

x₄ x₅ and x₆

Objective function:

z = 17*x₁ + 20.40*x₄ + 19*x₂ + 21.85*x₅ + 23*x₃ + 25.76*x₆ to minimize

First constraint: Manufacturing hours: 16500

2.5*x₁ + 3.4*x₂ + 3.8*x₃ ≤ 16500

Second constraint: Inspection hours : 1600

0.25*x₁ + 0.3*x₂ + 0.45*x₃ ≤ 1600

Three demands constraint:

x₁ + x₄ = 2000

x₂ + x₅ = 3750

x₃ + x₆ = 1700

x₁ ≥ 0 x₂ ≥ 0 x₃ ≥ 0 x₄ ≥ 0 x₅ ≥ 0 x₆ ≥ 0 all integers

After 6 iterations with on-line solver the solution is:

z (min) = 150090.8 ( monetary units ) ( $ )

x₁ = 2000 x₄ = 0 x₂ = 3382 x₅ = 368 x₃ = 0 x₆ = 1700

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3 years ago

Dottie has 1400 U.S. dollars. If 1 New Zealand dollar equals 0.7059 U.S. dollars, about how many New Zealand dollars can Dottie

Andrew [12]

D. $988.26

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3 years ago

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The y intercept of the graph 0.25x+0.05y=1.00

makvit [3.9K]

Hello!!

Well, the y-intercept is found when x = 0, so plug in x = 0:

0.25(0) + 0.05y = 1
0.05y = 1
y = 20

Therefore, the y-intercept of 0.25 + 0.05y = 1.00 is 20.

Hope this helps!! Let me know if you have ANY questions.

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3 years ago

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