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4 years ago

9

A tree that is 40 feet tall casts a 30 foot shadow. At the same time another tree casts a 20 foot shadow. How tall is the second

tree?

2 answers:

nadya68 [22]4 years ago

6 0

Answer:26 2/3 feet

Step-by-step explanation:40/30 = 4/3

(26 2/3) / 20= 4/3

krek1111 [17]4 years ago

5 0

The other tree is 30 feet because both shadow and tree height goes down by ten

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12. Which expression is equivalent to 5x + 9?

drek231 [11]

Answer:

the first one, 5(x-4) + 29

Step-by-step explanation:

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3 years ago

Last school year, the student body of a local university consisted of 30% freshmen, 24% sophomores, 26% juniors, and 20% seniors

goblinko [34]

Answer:

1.66

Step-by-step explanation:

We need to conduct a chi square test

The statistic used to check this is given by the below

∑(n, 1) = [(O(i) - E(i)] / E(i)

From the question, we're told the observed value is

Freshmen

Sophomore

Junior

Senior.

After that, we then calculate the expected value.

Freshman

0.3 * 300 = $90

Sophomore

0.24 * 300 = $72

Statistics then finally gives us this

X² = (93 - 90²)/90 + (68 - 72)²/72 + (85 - 78)/78 + (64 -60)²/60

X² = 3² / 90 + 4² / 73 + 13² / 78 + 4² / 60

X² = 0.1 + 0.212 + 2.167 + 0.266 x+

X² = 2.745

X = √2.745

X = 1.66

8 0

3 years ago

What is the area of this polygon? 28.5 units² 34.5 units² 37.5 units² 40.5 units² 6 sided polygon on a coordinate plane with ver

LUCKY_DIMON [66]

Answer:

Option B.

Step-by-step explanation:

The given vertices of the polygon are (-6,-2),(-5,1),(-1,4),(1,1),(5,3),(1,-2).

We need to find the area of the polygon.

Plot the given vertices and on a coordinate plane and draw the polygon. Divide the polygon in 4 parts as shown below.

Area of rectangle is

$A=length\times width$

Area of triangle is

$A=\dfrac{1}{2}\times base\times height$

Area of each figure is

$A_1=\dfrac{1}{2}\times 1\times 3=1.5$

$A_2=\dfrac{1}{2}\times 6\times 3=9$

$A_3=\dfrac{1}{2}\times 4\times 3=6$

$A_4=6\times 3=18$

Area of polygon is

$A=A_1+A_2+A_3+A_4$

$A=1.5+9+6+18=34.5$

The area of polygon is 34.5 units².

Therefore, the correct option is B.

3 0

4 years ago

What is 5 to the second power plus 2 the the fifth power plus 1

Flura [38]

The answer is 58 .

5x5=25
2x2x2x2x2=32
25+32=57
57+1=58

5 0

3 years ago

Read 2 more answers

Solve for x! Please help!

erica [24]

Answer:

<h2>x = 12</h2>

Step-by-step explanation:

ΔADC and ΔCDB are similar (AA). Therefore the sides are in proportion:

$\dfrac{AD}{DC}=\dfrac{DC}{DB}$

We have AD = 16, DC = x, DB = 9. Substitute:

$\dfrac{16}{x}=\dfrac{x}{9}$ <em>cross multiply</em>

$x^2=(16)(9)\to x=\sqrt{(16)(9)}\\\\x=\sqrt{16}\cdot\sqrt9\\\\x=4\cdot3\\\\x=12$

3 0

3 years ago