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vekshin1
3 years ago
7

Write and evaluate the expression. Then, complete the statement.   three times the difference of nine and a number   Write and e

valuate the expression. Then, complete the statement. three times the difference of nine and a number The value of the expression when h = 5 is
Mathematics
2 answers:
ki77a [65]3 years ago
7 0
3(9 - h)
h = 5

3(9 - 5) =
3(4) =
12 <==
Crazy boy [7]3 years ago
6 0

Answer:

Three times the difference of nine and a number.

Let the unknown number/variable be = h

The difference of 9 and the number is written as 9-h

And three times this value (Three times the difference of nine and a number) is written as:

3\times(9-h)

Now we have to tell the value of the expression when h = 5 :

So, putting h=5 in the expression.

3\times(9-5)

3\times4

= 12

So, The value of the expression when h = 5 is 4.

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2. Find the value of x and y rounded to the nearest tenth.
SVETLANKA909090 [29]

Using relations in a right triangle, it is found that the values of x and y are given by: x = 24, y = 46.4, given by option a.

<h3>What are the relations in a right triangle?</h3>

The relations in a right triangle are given as follows:

  • The sine of an angle is given by the length of the opposite side to the angle divided by the length of the hypotenuse.
  • The cosine of an angle is given by the length of the adjacent side to the angle divided by the length of the hypotenuse.
  • The tangent of an angle is given by the length of the opposite side to the angle divided by the length of the adjacent side to the angle.

First, we start with the vertical line h that divides y, that is <u>opposite to an angle of 30º, with hypotenuse 34</u>, hence:

sin(30º) = h/34

0.5 = h/34

h = 17.

Then, h is opposite to an angle of 45º, while the hypotenuse is x, hence:

\sin{45^\circ} = \frac{17}{x}

x = \frac{17}{\sin{45^\circ}}

x = 24.

y is divided into two segments.

  • The first is the adjacent to the angle of 30º, while the hypotenuse is 34.
  • The second is adjacent to the angle of 45º, while the hypotenuse is 24.

Then:

\cos{30^\circ} = \frac{y_1}{34}

y_1 = 34\cos{30^\circ} = 29.4

\cos{45^\circ} = \frac{y_2}{24}

y_2 = 24\cos{45^\circ} = 17

Then, the value of y is given by:

y = y_1 + y_2 = 29.4 + 17 = 46.4.

More can be learned about relations in a right triangle at brainly.com/question/26396675

#SPJ1

4 0
2 years ago
An object is thrown upward from the top of a 192 ft building with an initial velocity of 64 feet
Airida [17]

Answer:

t=6

Step-by-step explanation:

ground height = 0

(are you sure your formula is correct? isn't it - 16t²?)

if h=16t² +64t+192 is true then

16t² +64t+192 = 0

t² + 4t + 12 = 0

t = (-4 ± √(4² - 4*12)) / 2*1 = (-4 ± √-32) / 2 = -2 ± 2√-2

There is no solution of t

if it is h= - 16t² +64t+192

0 =- 16t² + 64t + 192

t² - 4t - 12 = 0

(t + 2) (t -6) = 0

t should be positive

t = 6 sec

7 0
3 years ago
Amd the third is the last one i wont ask again
Musya8 [376]

Answer:

9.3

Step-by-step explanation:

2/.214

3 0
3 years ago
Isabelle is using a square piece of cardboard to make a box without a lid. She cuts 2-inch squares from each corner and folds up
katrin2010 [14]

<em>The dimensions of the cardboard to make a box without a lid is 11 inches by 11 inches.</em>

<h2>Explanation:</h2>

In this problem, we have that Isabelle is using a square piece of cardboard to make a box without a lid. She cuts 2-inch squares from each corner and folds up the edges. The figure below shows this statement. The finished box has a volume (V) of 98 cubic inches, in other words:

V=98in^3

When folding up, we get the box without lip shown in the second figure. So the volume would be:

V=2xx \\ \\ V=2x^2 \\ \\ But: \\ \\ V=98 \\ \\ Then: \\ \\ 2x^2=98 \\ \\ x^2=49 \\ \\ x=\sqrt{49} \\ \\ x=7in

Since te cardboard is square, then the side (s) is given by:

s=2+x+2 \\ \\ s=2+7+2 \\ \\ s=11in

Therefore:

<em>The dimensions of the cardboard to make a box without a lid is 11 inches by 11 inches.</em>

<h2>Learn more:</h2>

Volume of a box: brainly.com/question/10501080

#LearnWithBrainly

8 0
3 years ago
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The scatter plot below shows the relationship between the diameter (x), in mm, and mass f(x), in grams, of a berry: ordered pair
ivann1987 [24]
For this case the first thing we must observe is that the mass increases 0.4 grams when the diameter increases 1 millimeter.
 Therefore, the slope of the line is given by:
 m = 0.4
 Thus, the function that best suits the table is given by:
 f (x) = -4 + 0.4x
 For example, for x = 20 we have:
 f (20) = -4 + 0.4 (20)
 f (20) = -4 + 8
 f (20) = 4
 The result, matches the table.
 Answer:
 The function that is best represented by the scatter plot is: 
 f (x) = -4 + 0.4x
6 0
3 years ago
Read 2 more answers
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