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4 years ago

What is the value of the 24th term in the following arithmetic sequence? -9, -2, 5, 12, ... 152 -170 170 -200

2 answers:

8 0

In this sequence, the rule is +7.

-9 + 7 = -2
-2 + 7 = 5
5 + 7 = 12

So, to find the 24th term we can continue adding 7 until we reach the 24th term.

12 + 7 = 19
19 + 7 = 26
26 + 7 = 33
33 + 7 = 40
40 + 7 = 47
47 + 7 = 54
54 + 7 = 61
61 + 7 = 68
68 + 7 = 75
75 + 7 = 82
82 + 7 = 89
89 + 7 = 96
96 + 7 = 103
103 + 7 = 110
110 + 7 = 117
117 + 7 = 124
124 + 7 = 131
131 + 7 = 138
138 + 7 = 145
145 + 7 = 152

The 24th term in the sequence is 152.

3241004551 [841]4 years ago

7 0

I think the answer 152 or A!!

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Plss help me with this equation

weeeeeb [17]

Answer:

x = 110 degree

Step-by-step explanation:

Hope this helps u !!

5 0

3 years ago

A submarine travels N45 W 16 miles. It then turns a course of 216 measured clockwise off of due north and travels until it is du

lozanna [386]

Answer:

19.5 miles

Step-by-step explanation:

The question is represented in the image attached.

∠A = 45°, ∠B = 45° + (216° - 180°) = 81°

∠A + ∠B + ∠C = 180° (sum of angles in a triangle)

45° + 81° + ∠C = 180°

126 + ∠C = 180

∠C = 180 - 126

∠C = 54°

The sine rule states that for a triangle with sides a, b, c and their corresponding opposite angles A, B and C. The following rule holds:

$\frac{a}{sin(A)}= \frac{b}{sin(B)}= \frac{c}{sin(C)}$

b = length of beginning of submarine to end point. Using sine rule:

$\frac{b}{sin(81)} =\frac{16}{sin(54)} \\\\b=\frac{16}{sin(54)}*sin(81)\\\\b=19.5\ miles$

7 0

3 years ago

In 1968 the estimated population was 3,559,028,982 people. When this number is written in expanded form in exponents 1 power of

Fed [463]

Hundred thousand because there is a zero in that spot

6 0

3 years ago

Prove or disprove the figure defined by points A, B, C, d is a rhombus

just olya [345]

Answer:

It is not a rhombus, because all the internal angles are equal.

Step-by-step explanation:

A rhombus is a figure that has four sides of equal length, and 2 internal angles that are smaller than the other two internal angles.

First, let's look at figure ABCD.

We can see that all the sides have equal length by just counting the number of squares that each side takes (each side is 12 units long)

So now we need to see the angles.

Remember that if two lines are perpendicular, then the angle formed by those two lines is exactly 90°.

We can see that the segment BC is horizontal (the y-value of B is the same than the y-value of C)

While the segment CD is vertical (the x-value of C is the same than the x-vale of D)

Then one segment is horizontal, and the other is vertical, which means that the segments are perpendicular, thus the angle C is 90°.

Now we can do the same for segments CD and DA

We already know that CD is a vertical segment.

For segment DA we can see that the y-value of D is the same as the y-value of A, then this segment is horizontal, this means that segments CD and DA are perpendiculars, which means that D = 90°.

Because DA is parallel to BC, and CD is parallel to BA, we can conclude that:

A = 90°

B = 90°

Then all the angles are equal, so this is not a rhombus. (it is a square)

4 0

3 years ago

Lena's guest house is 15 m long and 12 m wide. How long is the diagonal of the house?

Lerok [7]

Draw dagarm (see attachment)

we've got a right triangle
the legs are 12 and 15
and the hypohuse is the diagonal

remember, for any right tirnalge
when the legs are a and b and hytponuse is c then
a²+b²=c²

so
12²+15²=c²
144+225=c²
369=c²
sqrt both sides
√369=c
3√41=c
the diagonal is 3√41 m or about 19.2m

3 0

4 years ago