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makkiz [27]
3 years ago
12

What are angles 3 and 4 called in the diagram below ?

Mathematics
2 answers:
trapecia [35]3 years ago
6 0

Alternate interior angles.

Kruka [31]3 years ago
5 0

Answer:

Alternate Interior Angles

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uranmaximum [27]
I think that it’s A, Perpendicular (correct me if I’m wrong)
4 0
3 years ago
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You hike 190 meters up a steep hill that has a 33∘ angle of elevation as shown in the diagram.
erik [133]

Answer:

b = 159 m

a = 103 m

angle B is 57 degrees

Step-by-step explanation:

Let’s start with getting the measure of angle B

Mathematically, since we have a right triangle , we have to subtract the given angle from 90 to get the other acute angle

So we have the measure of B as;

90-33 = 57 degrees

To get the value of a, we use the appropriate trigonometric ratio

a faces the angle 33, that makes it an opposite to that angle

190 faces the right angle and that makes it the hypotenuse

Mathematically , the relationship between the two is that trigonometrically, they are related by the sine which is the ratio of the opposite to the hypotenuse

so, we have it that;

sine 33 = a/190

a = 190 * sine 33

a = 103 m

to get b, it is adjacent to the given angle

So with the hypotenuse, the ratio between it and the hypotenuse is the cosine

so;

cos 33 = b/190

b = 190 * cos 33

b = 159 m

4 0
3 years ago
What is the volume of a cone that has a diameter of 18 centimeters and a height of 12 centimeters?
sveta [45]

Answer:

1018.28

Given -

Diameter of cone = 18 cm

To get the radius divide it by 2 -

Radius, r = 18/2 = 9

height, h = 12 cm

To find -

Volume of cone.

Solution -

Volume = 1/3 hπr²

→ V = 1/3 18 × 22/7 × 9 × 9

→ V = 7128/7

→ V = 1018.28

Therefore, the volume of the cone is 1018.28.

5 0
3 years ago
Read 2 more answers
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

6 0
3 years ago
Solve for x by factoring and using the zero product property <br><br>3x^2-13x-10=0​
leonid [27]

move all terms to the left side and set equals to zero. then set each factor equal to zero

4 0
3 years ago
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