Three consecutive intergers have a sum of 234. What are the three intergers

Answers

Answer 1

Answer: First thing you need to do is divide 234 by 3. Next, put your quotient in the middle of the other 2 numbers, which should be 1 less and 1 more than your quotient to the answer. Let me explain. 234 divided by 3= 78. Therefore, your answer is 77,78,79. (Integers are whole numbers above zero)

Answer 2

Answer: x+x+1+x+2=234
3x+3=234
3x=231
x=77
x+1=78
x+2=79

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A surveyor measures the angle of elevation to the top of a building to be 70 degrees. The surveyor then walks 50 ft farther from the base of the tower and measures the angle of elevation to be 50 degrees. The surveyor's angle-measuring device 5.5 ft from the ground. How tall is the building, to the nearest foot?

Answers

Answer:

height of building,H = 5.5 ft + 105.2 ft = 111 ft to the nearest ft.

Step-by-step explanation:

in this question we have given angle of elevation= $70^o$

when surveyor walks 50m farther from the base of the tower that time angle of elevation= $50^o$

As shown in figure in triangle ABD

$Tan (70)= (h)/(x)$ .............(1)

or h=2.74x

and in triangle ABC

$Tan (50)= (h)/(50+x)$ ...........(2)

put value of h in equation 2

we got,

$1.19= (2.74x)/(50+x)$

$(50+x)1.19=2.74x\n50* 1.19+1.19x-2.74x=0\n59.5-1.55x=0\n59.5=1.55x\nx=38.39ft$

therefore,

Height of the tower is,h=2.74\times 38.39ft

h=105.2ft

Therefore,

height of building,H = 5.5 ft + 105.2 ft = 111 ft to the nearest ft.

43.804 ft

Working;
Start by drawing the diagram as shown in the attached diagram;
Then use the following trigonometric relations;
Tan (50)= $(h)/(50+x)$
Tan (70)= $(h)/(x)$

You can then use the value of x to find the value of h. Then add 5.5 ft to h to get height of the building

Eight times the sum of 11 and a number is 123. Which equation can be used to find the unknown number?

Answers

8 • (11+n) = 123

This is the equation you would use

The angle of elevation from L to K measures 55°. If JK = 26, find JL. Round your answer to the nearest tenth.A. 37.1
B. 21.3
C. 14.9
D. 26.8

Answers

the angle of elevation is the degree at which you need to look up, therefore the angle between the dotted line, let's call it LM, and line LK is 5 degrees

Angle JLK and Angle KLM are also complimentary angles, meaning that they both add up to 90 degrees, therefore angle JLK = 90-55=35degrees

Now, SOHCAHTOA comes in handy to find JL. Since we know JLK and JK, this is going to be a breeze.
Since the sides we are using are opposite and adjacent to JLK, we are going to use tan.
So: tan = o/a
however, as we don't know a, we need to rearrange the equation so a is on its own
tan=o/a (times both sides by a)
tan a = o (divide both sides by tan)
a = 0/tan

Now we can solve the equation with the information given
a = 26/tan35
a = 26/0.7
a=37.13184818
=> 37.1

So, you can put down A as your answer :D

Answer:

37.1

Step-by-step explanation:

For all x, (3x + 7)² = ?A. 6x + 14
B. 6x² + 14
C. 9x² + 49
D. 9x² + 21x + 49
E. 9x² + 42x + 49
Can anyone explain how to make it step by step?

Answers

When u see square that means u have to multiply the number by it self.
( 3x + 7 ) * ( 3x + 7 )
3x * 3x = 9x^2
3x * 7 = 21x
7 * 3x = 21x
7 * 7= 49
Now u have 9x^2 + 21x + 21x + 49
Now u have to combine like terms meaning u have to add the number that have the same variable ( x )
21x + 21x= 42x
Answer: E.) 9x^2 + 42x + 49

E 125° G F mZGFH = [?]° H

Answers

Answer:

∠ GFH = 55°

Step-by-step explanation:

∠ GFH and ∠ GFE are a linear pair and sum to 180° , that is

∠ GFH + ∠ GFE = 180°

∠ GFH + 125° = 180° ( subtract 125° from both sides )

∠ GFH = 55°

Convert these base five and base two numbers to base ten.
a. 1312ve
b.110110110two

Answers

I am assuming A is base 5 based on the ve

a. 1*5^3 + 3*5^2 + 1*5^1+ 2*5^0
125+75+5+2

a = 207

b. 2+4+16+32+128+256

b = 438

(please note that a binary number having 9 digits is highly unusual. most are normally 8 which makes up a bit)

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