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romanna [79]
2 years ago
12

Please help me with this question!!

Mathematics
1 answer:
quester [9]2 years ago
8 0

Answer:

Step-by-step explanation:

a1 = 6

a2 = 10

a3 = 14

The next member of the sequence is 4 more than the current sequence. Therefore d = 4

a1 = 6

d = 4

n = 13

an = a1 + (n - 1)*d

an = 6 + (n - 1)*4

a_13 = 6 + 12*4

a_13 = 6 + 48

a_13 = 54

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Step-by-step explanation:

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7 0
3 years ago
In right triangle DEF, ∠E is a right angle, m∠D=26∘, and DF=4.5.
jok3333 [9.3K]

Answer:

The measurement of EF is 1.98 units

Step-by-step explanation:

In Δ DEF

∵ m∠E = 90°

∴ FD is the hypotenuse of the triangle

∵ m∠D = 26°

∵ EF is opposite to angle D

- We can use the sine ratio to find it

∵ sin D = \frac{EF}{FD} ⇒ (opposite side / hypotenuse)

∵ FD = 4.5 units

∴ sin(26) = \frac{EF}{4.5}

- Multiply both sides by 4.5

∴ 4.5 sin(26) = EF

∵ sin 26° ≈ 0.44

∴ 4.5(0.44) = EF

∴ 1.98 = EF

The measurement of EF is 1.98 units

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3 years ago
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Answer:

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Step-by-step explanation:

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3 0
3 years ago
Length of a rectangular prism is increased by factor of 1.5. The width is doubled and height is tripled. What is the new volume?
dimulka [17.4K]

Nine times the original volume

Step-by-step explanation:

Let the length, width and height of the rectangular prism be 'l' 'w' and 'h'.

The volume of the rectangular prism is given by,

V = W x l x h

The original volume of the rectangular prism is,

V = wlh

Here the length is 1.5 the original length

So, l = 1.5 x l = (1.5l)

And the with is doubled. So,

W = 2W

The height is tripled. So,

h = 3h

Volume of the new rectangular prism is,

V = (1.5l) (2w) (3h)

V = 9 wlh

We know that wlh is the original volume of the rectangular prism.

So the new volume is 9 times the original volume.

4 0
3 years ago
What is the measure of Zx?
MA_775_DIABLO [31]

Answer:

x = 139º

Step-by-step explanation:

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3 years ago
Read 2 more answers
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