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Svetach [21]
3 years ago
12

2. The city of Johnsonville was 1.5 inches of rain short of the normal amount for the year at the end of July. During the

Mathematics
1 answer:
Dafna11 [192]3 years ago
5 0

Answer:

0.6 is the diference

Step-by-step explanation:

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Adjacent angles have no common interior points. A.)Always. B.)Sometimes. C.)Never
irina [24]
The actual answer is "always", as adjacent angles have no common interior points under any circumstances. The correct option among all the options that are given in the question is the first option or option "A". I hope that this is the answer that you were looking for and it has come to your help.
6 0
3 years ago
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The measure of the angle of depression from the top of a 270 m building tweet park bench on the ground is 63° 43’.How far Where
Norma-Jean [14]

Answer:

547 m

Step-by-step explanation:

Given :

Angle of depression, θ = 63°43' ; 43/60 = 0.7167 = 63 + 0.7167 = 63.7167°

The height, h = 270

The distance of park bench from the building, d is given by :

Tan θ = opposite / Adjacent

Tan 63.7167 = d / 270

d = 270 * Tan 63.7167

d = 546.70459

d, distance of Park bench from building is 547 m

8 0
2 years ago
How much must be added to each of the three numbers 1, 11, and 23 so that together they form a geometric progression?
Sliva [168]

Answer:

49

Step-by-step explanation:

Let x be unknown number which should be added to numbers 1, 11, 23 to get geometric progression. Then numbers 1 + x, 11 + x, 23 + x are first three terms of geometric progression.

Hence,

b_1=1+x\\ \\b_2=11+x\\ \\b_3=23+x

and

b_2=b_1\cdot q\Rightarrow 11+x=(1+x)q\\ \\b_3=b_2\cdot q\Rightarrow 23+x=(11+x)q

Express q:

q=\dfrac{11+x}{1+x}=\dfrac{23+x}{11+x}

Solve this equation. Cross multiply:

(11+x)^2=(1+x)(23+x)\\ \\121+22x+x^2=23+x+23x+x^2\\ \\121+22x=23+24x\\ \\22x-24x=23-121\\ \\-2x=-98\\ \\2x=98\\ \\x=49

5 0
3 years ago
Good afternoon help me 5 questions is 50 points and answer them all
Paraphin [41]
The first one  is the last answer because you subtract 18 and when you divide you change the inequality symbol 

the second one is the last answer for the same reason 

the 3rd one is x<-1.25

the 4th one is x<8/15
5 0
3 years ago
What is the value of -4D^2+15D^2÷5 for D=1
lutik1710 [3]

Plug in D:

-4(1)^2 + 15(1)^2/5

-4 + 15 / 5

-4 + 3 = -1

6 0
3 years ago
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