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lakkis [162]
3 years ago
11

I don’t know how to do these questions so help plz

Mathematics
2 answers:
mars1129 [50]3 years ago
5 0

Answer:

the anser is no.b that is 30°

ryzh [129]3 years ago
3 0

Answer:

90°

Step-by-step explanation:

There's are supplementary angles at point C. These are two angles that add up to 180°. We know this because a straight line makes 180° on both sides. Since we know that the first angle is 150°, we can determine the angle a point C is 30°. This is shown by:

180-150=30

So now we know 1 angle and the other two angles are put into like terms (in this case, multiples of x). It is known that the sum of all angles in a triangle equates to 180°. Using this information we can set up a simple equation.

3x+2x+30=180

Combining like terms, we get:

5x+30=180

Isolating x, we get:

5x=150

Dividing both sides by 5, we get:

x=30

So now we can use this x-value to determine the angle that is being asked. It is shown that angle ABC is equal to 3x. Using the x value we just calculated, we get a final answer of:

3x=3(30)=90

Therefore, the answer is 90°. Hope this helps!

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The sum of the three consecutive integers is -27. What is the product of the smallest and largest of the three integers?
Aleksandr [31]

Answer:

B. 80

Step-by-step explanation:

3 consecutive integers: x-1 , x , x+1

(x-1) + x + (x+1) = -27

3x = -27

x = -9

smallest: -9-1 : -10

largest: -9+1 : -8

product of the smallest and largest of the three integers: (-10)*(-8)=80

4 0
2 years ago
Tan(42)= x over 16<br> I need the answer and how ya got it pleasee
xz_007 [3.2K]

Answer:

14.40646471 =x

Step-by-step explanation:

tan (42) = x/16

Multiply each side by 16

16 tan 42 = x/16 *16

16 tan 42 = x

16 * .900404044 = x

14.40646471 =x

7 0
3 years ago
Ignacio is curious about the average age of cars in the commuter lot at Mis large university. He takes a random
spin [16.1K]

Answer:

Between 12.614 years and 16.386 years

Step-by-step explanation:

Given that:

Mean age (μ) = 14.5 years, standard deviation (σ) = 4.6 years, number o sample (n) and the confidence interval (c) = 90% = 0,9

α = 1 -c = 1 -0.9 = 0.1

\frac{\alpha }{2}  = \frac{0.1}{2} = 0.05

The z score of \alpha /2 is the same as the z score of 0.45 (0.5 - 0.05). This can be gotten from the probability distribution table. Therefore:

z_{0.05}=1.64

The margin of error (e) = z_{0.05}\frac{\sigma}{\sqrt{n} } = 1.64*\frac{4.6}{\sqrt{16} }=1.886

The interval = μ ± e = 14.5 ± 1.886 = (12.614 ,16.386)

4 0
3 years ago
Find the vertex of the graph of the function.
lapo4ka [179]

Answer: The correct options are  (1) (5,10), (2) (3,-3), (3) x = -1, (4) y=(x+2)^2+3, (5) 21s and (6) 0, -1, and 5.

Explanation:

Te standard form of the parabola is,

f(x)=a(x-h)^2+k        .....(1)

Where,  (h,k) is the vertex of the parabola.

(1)

The given equation is,

f(x)=(x-5)^2+10

Comparing this equation with equation (1),we get,

h=5 and k=10

Therefore, the vertex of the graph is (5,10) and the fourth option is correct.

(2)

The given equation is,

f(x)=3x^2-18x+24

f(x)=3(x^2-6x)+24

To make perfect square add (\frac{b}{2a})^2, i.e., 9. Since there is factor 3 outside the parentheses, so subtract three times of 9.

f(x)=3(x^2-6x+9)+24-3\times 9

f(x)=3(x-3)^2-3

Comparing this equation with equation (1),we get,

h=3 and k=-3

Therefore, the vertex of the graph is (3,-3) and the fourth option is correct.

(3)

The given equation is

f(x)=4x^2+8x+7

f(x)=4(x^2+2x)+7

To make perfect square add (\frac{b}{2a})^2, i.e., 1. Since there is factor 4 outside the parentheses, so subtract three times of 1.

f(x)=4(x^2+2x+1)+7-4

f(x)=4(x+1)^2+3

Comparing this equation with equation (1),we get,

h=-1 and k=3

The vertex of the equation is (-1,3) so the axis is x=-1 and the correct option is 2.

(4)

The given equation is,

y=x^2+4x+7

To make perfect square add (\frac{b}{2a})^2, i.e., 2^2.

f(x)=x^2+4x+4+7-4

f(x)=x^2+4x+4+7-4

f(x)=(x+2)^2+3

Therefore, the correct option is  4.

(5)

The given equation is,

h=-16t^2+672t

It can be written as,

h=-16(t^2-42t)

It is a downward parabola. so the maximum height of the function is on its vertex.

The x coordinate of the vertex is,

x=\frac{b}{2a}

x=\frac{42}{2}

x=21

Therefore,  after 21 seconds the projectile reach its maximum height and the correct option is first.

(6)

The given equation is,

f(x)=3x^3-12x^2-15x

f(x)=3x(x^2-4x-5)

Use factoring method to find the factors of the equation.

f(x)=3x(x^2-5x+x-5)

f(x)=3x(x(x-5)+1(x-5))

f(x)=3x(x-5)(x+1)

Equate each factor equal to 0.

x=0,-1,5

Therefore, the zeros of the given equation is 0, -1, 5 and the correct option is 2.

3 0
3 years ago
The owner of a local nightclub has recently surveyed a random sample of 300 customers of the club. She would now like to determi
trapecia [35]

Answer:

0.0416

Step-by-step explanation:

Given :

Sample size, n = 300

Sample mean, x = 35.5

Population mean, m = 35

Standard deviation, s = 5

The test statistic :

Zstatistic = (x - m) / s/sqrt(n)

Zstatistic = (35.5 - 35) / 5/sqrt(300)

Zstatistic = 0.5 / 0.2886751

Zstatistic = 1.732

Using the p value calculator from Zstatistic :

One tailed P value at 95% confidence interval is : 0.0416

6 0
3 years ago
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