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2 years ago

6

What is 4 superscript 5 written in expanded form?

2 answers:

Masja [62]2 years ago

8 0

Answer:

4×4×4×4×4

Step-by-step explanation:

It is in expanded form.

elena55 [62]2 years ago

5 0

If this is an exponent, it would be 4 x 4 x 4 x 4 x 4 in expanded form.

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areas of four triangles are 40 cm^2, 90 cm^2, 202.5 cm^2 and 455.6 cm^2 are continue in sequence. the enlargement factor is 1.5,

maw [93]

Answer:

9th Triangle

Step-by-step explanation:

Given the area of four triangles: $40 cm^2, 90 cm^2, 202.5 cm^2 \:and\: 455.6 cm^2$

If the Scale factor is 1.5.

This is a geometric sequence and the common ratio is 1.5 X 1.5.

Therefore, the area of any n triangle can be determined using the function:

$A(n)=40\cdot1.5^{2(n-1)}$

We want to determine which triangle has an area greater than $15000cm^2$ .

When A(n)=15000

$40\cdot1.5^{2(n-1)}>15000\\1.5^{2(n-1)}>\frac{15000}{40} \\1.5^{2(n-1)}>375\\\text{Change to Logarithm form}\\2(n-1)>Log_{1.5}375\\\text{Applying logarithm change of base to base 10 law}\\2(n-1)>\frac{Log 375}{Log 1.5} \\2n-2>14.62\\2n>14.62+2=16.62\\n>8.31$

Therefore, the 9th triangle has an area greater than $15000cm^2$ .

5 0

3 years ago

What is the measure of the missing angle?

Luda [366]

Answer:

B=23.19

Step-by-step explanation:

First, find the last side of the triangle using the Pythagorean theorem.

$a^{2} +b^{2} =c^{2} \\21^{2} +9^{2} =c^{2} \\441+81=c^{2} \\\sqrt[3]{58}=c$

Then, find the missing angle, lets name it B.

The angle B can be found using the inverse sine function.

B=arcsin(opp/hyp)

$B=arcsin(\frac{9}{\sqrt[3]{58} } )\\B=23.19$

8 0

2 years ago

Read 2 more answers

Milley wants to solve the following equations using the method of elimination:

timurjin [86]

She should multiply y = x - 2 by -4...that way one x will be -4x and the other will be 4x and they will cancel out when added.

answer is -4

3 0

3 years ago

Which describes the difference between the two sequences?

mash [69]

Answer:

its a)the first sequence is geometric bc of the common ratio of 2. the second sequence is arithmetic bc of the common difference of 7.

8 0

2 years ago

Help me with this problem !!!!!!!!!!

Mamont248 [21]

Answer:

Hi, your answer is y= $-\frac{1}{2} x$ -3

Step-by-step explanation:

We will use the slope-intercept formula which is

$\frac{y2-y1}{x2-x1}$

We will use two points in this case I'll use

(-2,-2) and (-8,1)

$\frac{1-(-2)}{-8-(-2)}$ = $-\frac{3}{6}$ which can be simplified as $-\frac{1}{2}$

Your Y will be -3

which your final answer will be y=-1/2x-3

Hope this helps :)

3 0

3 years ago