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3 years ago

Angle a is three times the size of angle b. the sum measures is 128 find the value of x

Mathematics

2 answers:

mel-nik [20]3 years ago

4 0

angle A = 3 times angel b = 3b

3b +b = 128

4b = 128

b = 128/4 = 32

Angle B = 32 degrees

angle A = 3b = 3(32) = 96

Setler [38]3 years ago

3 0

A=3b
a+b=128
4b=128
b=32
a=96

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You are tossing an apple. After t seconds, the height of the apple in feet is given by h = -16t2 + 38.4t + 0.96. What is the dom

Nesterboy [21]

Using function concepts, it is found that the domain is 0 ≤ t ≤ 2.4, given by option C.

----------------------

The height of the apple after t seconds is given by:

$h(t) = -16t^2 + 38.4t + 0.96$

The domain of a function is the <u>set that contains all possible input values.</u>
The possible input values for this situation are the values of t between 0 and the instant in which the apple hits the ground, which is t for which $h(t) = 0$ .

----------------------

$h(t) = -16t^2 + 38.4t + 0.96$

Which is a quadratic equation with $a = -16, b = 38.4, c = 0.96$

To find the solutions:

$\Delta = b^2 - 4ac = (38.4)^2 - 4(-16)(0.96) = 1536$

$t_1 = \frac{-b + \sqrt{\Delta}}{2a} = \frac{-38.4 + \sqrt{1536}}{2(-16)} = -0.0247$

$t_2 = \frac{-b + \sqrt{\Delta}}{2a} = \frac{-38.4 - \sqrt{1536}}{2(-16)} = 2.4$

The apple is in the air for 0 ≤ t ≤ 2.4, which means that the domain is given by option C.

A similar problem is given at brainly.com/question/23932338

7 0

3 years ago

Solve for x. -0.65 + 0.45x = 5.4

FinnZ [79.3K]

Answer:

x = 13.444 ... (repeating decimal) or;

x = 13 4/9

Step-by-step explanation:

-0.65 + 0.45x = 5.4

First we will add 0.65 to each 'side' of the equation.

0.65 + (-0.65) + 0.45x = 0.65 + 5.4

0.65 + (-0.65) = 0

0.65 + 5.4 = 6.05

Input the numbers, and now the equation looks like this:

0 + 0.45x = 6.05

Remove the zero:

0.45x = 6.05

Divide each 'side' by 0.45.

0.45x ÷ 0.45 = 6.05 ÷ 0.45

0.45x ÷ 0.45 = 1x = x

6.05 ÷ 0.45 = 13.444 ... repeating decimal

Input the numbers, and now the equation looks like this:

x = 13.444 ... repeating decimal

We can also write this as:

x = 13 4/9 in fraction form

3 0

3 years ago

javier rode his bike for a total of 41 minutes. before lunch he rode 1 minute less than 5 times the number of minutes he rode af

notka56 [123]

Answer:

Javier rode bike 34 minutes before lunch.

Step-by-step explanation:

Let the number of minutes Javier rode the bike after lunch be = x minutes

Then according to question number of minutes he rode the bike after lunch

$= 5x-1$

Total number of minutes he rode bike = 41 min

Therefore,

$x+5x-1 =41$

On solving

$6x= 41+1 =42$

Divide both side by 6 we get

$x= 7$

Number of minutes he ride before lunch

$= 5(7)-1 = 35-1=34$ min

8 0

4 years ago

Suppose a student reaches in the bag and randomly selects nine red chips and eleven yellow chips. Based on this sample, what is

nataly862011 [7]

Answer:

There are more boys than girls. The red chips are girls are the boy are the yellow chips. If more yellow chips were pulled out then there are more boys. 11 + 9 = 2. 10 + 9 = 19 + 1 = 20. The fraction of how many boys there are would be 11/21 and the fraction for girls would be 9/21. Also 11 x 9 = 99. There would be 99 people if you times the number of girls and boys. But it's best to add because it would be in the smaller form if you were to times it.

7 0

3 years ago

Solve the inequality 2n – 1 < 39

MatroZZZ [7]

Answer:

n < 20

Step-by-step explanation:

2n – 1 < 39

Add 1 to each side

2n – 1+1 < 39+1

2n < 40

Divide each side by 2

2n/2 < 40/2

n < 20

3 0

3 years ago