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Masteriza [31]
3 years ago
8

What is the measure of angle 2? Which sides share a vertex and side with angle 3?

Mathematics
2 answers:
Rom4ik [11]3 years ago
8 0

Answer:

Angle 2=16 degrees

Step-by-step explanation:

140+24=164 180-164=16

sasho [114]3 years ago
7 0

Answer:

Angle 2 = 26 degrees

Step-by-step explanation:

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Four lawn sprinkler heads are fed by a 1.9-cm-diameter pipe. The water comes out of the heads at an angle of 35° above the horiz
klemol [59]

Answer:

Step-by-step explanation:

Given:

Angle, θ = 35°

Vertical distance, Δx = 6 m

Diameter, d = 1.9 cm

= 0.019 m

A.

When the water leaves the sprinkler, it does so at a projectile motion.

Therefore,

Using equation of motion,

(t × Vox) = 2Vo²(sin θ × cos θ)/g

= Δx = 2Vo²(sin 35 × cos 35)/g

Vo² = (6 × 9.8)/(2 × sin 35 × cos 35)

= 62.57

Vo = 7.91 m/s

B.

Area of sprinkler, As = πD²/4

Diameter, D = 3 × 10^-3 m

As = π × (3 × 10^-3)²/4

= 7.069 × 10^-6 m²

V_ = volume rate of the sprinkler

= area, As × velocity, Vo

= (7.069 × 10^-6) × 7.91

= 5.59 × 10^-5 m³/s

Remember,

1 m³ = 1000 liters

= 5.59 × 10^-5 m³/s × 1000 liters/1 m³

= 5.59 × 10^-2 liters/s

= 0.0559 liters/s.

For the 4 sprinklers,

The rate at which volume is flowing in the 4 sprinklers = 4 × 0.0559

= 0.224 liters/s

C.

Area of 1.9 cm pipe, Ap = πD²/4

= π × (0.019)²/4

= 2.84 × 10^-4 m²

Volumetric flowrate of the four sprinklers = 4 × 5.59 × 10^-5 m³/s

= 2.24 × 10^-4 m³/s

Velocity of the water, Vw = volumetric flowrate/area

= 2.24 × 10^-4/2.84 × 10^-4

= 0.787 m/s

7 0
3 years ago
Read 2 more answers
Can someone help me do this
djyliett [7]

Answer:

See below

Step-by-step explanation:

It's hard to see your photo but if that say m∠T than your answer would be

m∠ L.

The drawings are saying the the triangles are congruent which means all the interior angles of one triangle are congruent to the angles of the second triangle.    m∠M = m∠J,   m∠K = m∠E and m∠L = m∠T

Since you have two of the angles, you can also determine what m∠L and m∠T is equal to.  The sum on all interior angles must be 180 degrees.

180 - 86 - 32 = 62

7 0
2 years ago
Read 2 more answers
Mary states, If the diagonals of a parallelogram are congruent, then the parallelogram is a rectangle. Decide if her statement i
Mila [183]
The answer for apex would be true.
8 0
3 years ago
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Use substitution to solve the system.<br><br> x=3y-8<br> 3x-4y=-9
nadya68 [22]
<span>x=3y-8
3x-4y=-9

We are told that:
</span>x=3y-8

So replace x in 3x-4y=-9 with x=3y-8 like so: 
3(3y-8)-4y=-9 

Start by distributing the 3: 
(3)(3y)+(3)(-8)+-4y=-9
Now you have: 
9y+-24+-4y=-9&#10;
Combine like terms, now you have: 
5y-24=-9&#10;
add 24 to both sides 
5y-24+24=-9+24&#10;
Now you have:
5y=15
Divide both sides by 5 to get: 
y=3 

Now that you know y=3 plug it into: 
x=3y-8
x=3(3)-8
x=1 

Final answer: 
(1,3) 
5 0
3 years ago
Read 2 more answers
What is the difference between the exact simple interest and the ordinary simple interest on a 200-day loan of 5,000 at 12%
77julia77 [94]

Answer:

  4.56

Step-by-step explanation:

"Ordinary" interest will be more than "exact" interest because the number of days in a year is a smaller value. The difference will be ...

  Io = Prt = 5000(0.12)(200/360) = 333.33

  Ie = Prt = 5000(0.12)(200/365) = 328.77

The difference is ...

  333.33 -328.77 = 4.56 . . . the difference in interest values

_____

<em>Additional comment</em>

The question asks for the difference between exact and ordinary interest, so the result is technically negative:

  328.77 -333.33 = -4.56

6 0
3 years ago
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