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podryga [215]
3 years ago
15

(04.02) An expression is shown below: the square root of 32 plus the square root of 2 Which statement is true about the expressi

on? (1 point) Select one: a. It is rational and equal to 4. b. It is rational and equal to 5. c. It is irrational and equal to 5 multiplied by the square root of 2 . d. It is irrational and equal to 4 multiplied by the square root of 2 .
Mathematics
1 answer:
Makovka662 [10]3 years ago
8 0
Answer: C

Work:
The square root of 32 can be simplified and then combined with the square root of 2 into one single term. Since 32 is divisible by 16, which is the square root of 4, the term then becomes 4(square root of 2).

You then have 4(square root of 2) + (square root of 2) as your expression which simplifies to be equal to 5(square root of 2). The answer is then C. 
You might be interested in
That’s the number is written in standard scientific notation?
Nata [24]

Option D: 3.47*10^-7 is the correct answer

Step-by-step explanation:

In order to determine the number written in standard scientific notation, first of all we have to understand how the scientific numbers are written

the scientific numbers are written in the form of:

a*10^n

Here

a is a number between 1 and 10 while the value of n can be only integer (positive or negative)

so,

In the given options:

Option A has a number larger than 10 in place of a so it is not in standard notation

Option B has a number less than 1 in place of a  so it is also not in standard notation

Option C has a number larger than 10 in place of a so it is not in standard notation

Option D is in standard scientific notation as 1<3.47<10 and the power of 10 is integer

Hence,

Option D: 3.47*10^-7 is the correct answer

Keywords: Scientific notation, exponents

Learn more about scientific notation at:

  • brainly.com/question/846474
  • brainly.com/question/833559

#LearnwithBrainly

6 0
3 years ago
At a point on the ground 80 ft from the base of a tree, the distance to the top of the tree is 11 ft more than 2 times the heigh
Sergio039 [100]

Let h be the height of the tree and d the distance to the top of the tree from the point on the ground. Draw a diagram to visualize the situation:

Since the distance to the top of the tree is 11 ft more than two times the height, then:

d=2h+11

Use the Pythagorean Theorem to relate the length of the sides of the right triangle:

\begin{gathered} h^2+80^2=d^2 \\ \Rightarrow h^2+6400=(2h+11)^2 \\ \operatorname{\Rightarrow}h^2+6400=(2h)^2+2(11)(2h)+11^2 \\ \operatorname{\Rightarrow}h^2+6400=4h^2+44h+121 \end{gathered}

Notice that we have obtained a quadratic equation in terms of h. Write it in standard form and use the quadratic formula to solve for h:

\begin{gathered} \Rightarrow0=4h^2+44h+121-h^2-6400 \\ \Rightarrow0=4h^2-h^2+44h+121-6400 \\ \Rightarrow0=3h^2+44h-6279 \\ \Rightarrow3h^2+44h-6279=0 \\  \\ \Rightarrow h=\frac{-44\pm\sqrt{(44)^2-4(3)(-6279)}}{2(3)} \\  \\ \therefore h_1=39 \\ h_2=-53.666.. \end{gathered}

Since the height of the tree must be positive, the only solution is h=39ft. To the nearest foot, the height of the tree is 39.

Therefore, the height of the tree is 39 ft.

4 0
1 year ago
A person walks 8blocks east, then 4 blocks north, 12 blocks west and 4 blocks south, at this point how many blocks from her star
Setler79 [48]

Answer:

4 Blocks.

Step-by-step explanation:

You start out going 8 east so that's 4.

Then you got 4 north as well so that's 12 because 8 + 4 = 12

then they walk 12 blocks west. Now they are in the position of 4 North and 4 West.

Next they go 4 blocks south. Since they went for blocks North first and now they go 4 blocks south and they are already on the fourth block to the west.

When they are at 4 North and 4 South the just travel to the original position but 4 blocks to the west.

Sorry if you don't understand the explanation. It's kinda difficult to explain.

3 0
3 years ago
6y-2x=20 so y =---/---- +-----/-----
azamat
I hope this helps you



6y-2x=20


2 (3y-x)=2.10


3y-x=10


3y=x+10


y=x+10/3
4 0
3 years ago
Read 2 more answers
Cos θ = -3/5; θ is in QIII. What is sin θ?<br><br> 4/5<br><br> -5/3<br><br> -4/5<br><br> 5/3
Tatiana [17]
Hello : 
<span>Cos θ = -3/5
sin</span>θ = - 4/5 
because : Cos² θ +sin²θ = (-3/5)²+(-4/5)2 =9/25+16/25 = 25/25 = 1
and θ is in QIII.where : sinθ <span>< 0</span>
3 0
3 years ago
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