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Anestetic [448]
3 years ago
15

Find a30 of the arithmetic sequence: −17,−7,3,13,...

Mathematics
1 answer:
Ilia_Sergeevich [38]3 years ago
3 0

Answer:

a₃₀ = 273

Step-by-step explanation:

The nth term of an arithmetic sequence is

a_{n} = a₁ + (n - 1)d

where a₁ is the first term and d the common difference

Here a₁ = - 17 and d = a₂ - a₁ = - 7 - (- 17) = - 7 + 17 = 10 , then

a₃₀ = - 17 + (29 × 10) = - 17 + 290 = 273

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Find the surface area of the following figure below. Use 3.14 for pi
Studentka2010 [4]
Surface area of cylinder = 2 x pi x r x h + 2 x pi x r*2

So 2 x pi x 4 x 11 + 2 x pi x 4*2 = 376.99
7 0
3 years ago
What the answer to the question
ruslelena [56]

Answer:

c

Step-by-step explanation:

When we know two sides and the included angle, there is a formula we can use.

We know angle C = 35º, and sides a = 20cm and b = 19.5cm.

using the formula

Area =(½)ab sin C(angle)

Put in the values we know:

(20×19.5÷2)×sin(35)=

111.8474050885 cm^2

rounded = 111.85 cm^2

answer is c

5 0
3 years ago
Find the measures of the angles of a right triangle where one of the two acute angles measure 8 times the otehr.
Goryan [66]

Answer:

Step-by-step explanation:

The two acute angles add up to 90 degrees. That's because every triangle has 180 degrees and a right angle is 90 degrees.

<m1 + <m2 + 90 = 180                   Subtract 90 from both sides.

<m1 + <m2 + 90 - 90 = 180 - 90   Combine

<m1 + <m2 = 90

Let m1 = 9*m2                                Substitute.

9m2 + m2 = 90                              Combine

10 m2 = 90                                     Divide by 10

10m2/10 = 90/10

m2 = 9

m1 = 9*m2

m1 = 9 * 9

m1 = 81

The right angle = 90

m1 = 81

m2 = 9

8 0
4 years ago
Solve for x:<br> X=<br> 76⁰<br> 9x+1<br> 40°
luda_lava [24]

7 is the value of x, and 64° is the measure of the unknown angle.

Triangle angles of 76°, (9x+1)°, and 40° are provided.

According to the triangle's "angle sum property," a triangle's angles add up to 180 degrees. Three sides and three angles, one at each vertex, make up a triangle. The sum of the interior angles in a triangle is always 180o, regardless of whether it is acute, obtuse, or right.

One of the most commonly applied properties in geometry is the triangle's angle sum property. Most often, the unknown angles are calculated using this attribute.

Now, the total of a triangle's three angles equals

76°+(9x+1)°+40°= 180°

⇒ 116+9x+1 = 180

⇒ 9x + 117 = 180

⇒ 9x = 63

⇒ x = 7

So, 9x+1=64°

As a result, x is equal to 7 and the unmeasured angle is 64°.

To learn more about the angle sum property of a triangle, refer to this link:

brainly.com/question/8492819

#SPJ1

4 0
1 year ago
Exercises<br>Determine the point of Intersection of the two lines.<br>y= x + 3<br>y= 2x + 1​
GuDViN [60]

Answer:

(2,5)

Step-by-step explanation:

5 0
3 years ago
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