Explain why 4x+1 is equal to 2x+12

Answer:

The temperature is: 14.5 degrees

Step-by-step explanation:

Given

[tex]T = 4 \cos(30(t - 8)) + 16[/tex]

Required

The temperature at 4:15

We have:

[tex]t = 4:15[/tex]

Convert to hours

[tex]t = 4+\frac{15}{60}[/tex]

[tex]t = 4+0.25[/tex]

[tex]t = 4.25[/tex]

So:

[tex]T = 4 \cos(30(t - 8)) + 16[/tex]

[tex]T = 4 \cos(30(4.25 - 8)) + 16[/tex]

[tex]T = 4 \cos(30(-3.75)) + 16[/tex]

Open bracket

[tex]T = 4 \cos(-112.5) + 16[/tex]

[tex]T = 4 *-0.3826 + 16[/tex]

[tex]T = -1.5304 + 16[/tex]

[tex]T = 14.4696[/tex]

Approximate

[tex]T = 14.5^o[/tex]

Answer:

No

Step-by-step explanation:

Using the given values, 25 is the largest value, so if this were a right triangle, it would be the hypotenuse.

Using Pythagoras' theorem: For this triangle to be a right triangle, √(21² + 14²) must be equal to 25.

√(21² + 14²) = 25.239 (5sf) ≠ 25

Hence the triangle formed is not right.

Answer:

here a link to your answer

Step-by-step explanation:

https://brainly.com/question/20419046

plus the answer is b

Answer:

correct answers

15 m=1,500

117 mm=0.117 m

79 m=0.079 km

hope it helps

57 = 30 × t

t = 57/30

t = 19 × 3 / 10 × 3

t = 19/10

t = 1.9

Answer:

t = 1.9

Step-by-step explanation:

Given

d = rt

Substitute d = 57 and r = 30 into the equation

57 = 30t ( divide both sides by 30 )

[tex]\frac{57}{30}[/tex] = t , that is

t = 1.9

Answer:

15 apples

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

if the two lines were parallel, then the alternate, on opposite side of the trasversal, exterior, or not inside the lines, angles would be congruent. sicne they are, the line are parallel

Answer:

Step-by-step explanation:

IQ scores are normally distributed with a mean of 100 and a standard deviation of 15. What is the probability that a randomly chosen person's IQ score will be between 101 and 134, to the nearest thousandth

z = (x-μ)/σ, where x is the raw score,

μ is the population mean = 100

σ is the population standard deviation = 15

For x = 101

z = 101 - 100/15

z = 0.066667

Probability value from Z-Table:

P(x = 101) = 0.52658

For x = 134

z = 134 - 100/15

z = 2.26667

Probability value from Z-Table:

P(x= 134) = 0.98829

Therefore,

Answer:

2/729

Step-by-step explanation:

2/3÷3 = 2/9

2/9÷3=2/27

2/27÷3=2/81

2/81÷3=2/243

2/243÷3=2/729

Answer:

T

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

Answer:

8/pi or approximately 2.55 ft

Step-by-step explanation:

The formula for the circumference is

C = 2 * pi *r

16 = 2 * pi *r

Divide each side by 2 pi

16 / ( 2 pi) = 2 * pi * r/ ( 2 pi)

8 / pi = r

Using 3.14 for pi

8 / 3.14 = r

2.54777 = r

2.55 =r

Answer:

Radius ≈ 2.55 ft.

Step-by-step explanation:

GIVEN :-

TO FIND :-

FORMULAE TO KNOW BEFORE SOLVING :-

For a circle with radius 'r' & circumference 'c' ,

[tex]r = \frac{c}{2\pi }[/tex]

SOLUTION :-

[tex]Radius = \frac{Circumference}{2\pi } = \frac{16}{2\pi } = \frac{8}{\pi } = 2.55 ft. (appx)[/tex]

Answer:

145 degrees

Step-by-step explanation:

All angles in a parallelogram always add up to 360 degrees when added together.

And all angles are the same as the angle adjacent to them.

Since we already know that angle DAB is 35, then the adjacent angle BCD, is also 35.

And since we know that all the angles add up to 360, we just gotta do the math.

35 + 35 = 70 and when you subtract 70 from 360 you get 290. Now all you have to do is divide 290 by 2, and you get 145, which is also the same as angle ABC since they are adjacent to each other.

Answer:

11

Step-by-step explanation:

We know formula to find average is,

Average=  

Numberofnumbers

Sumofnumbers

​  

Since the average of 10, so the sum of numbers is 5×10=50

As the fifth number is given 6, so rest 4 numbers will be = 50−6=44

Average of first four numbers will be Average=  

4

44

​  

=11

Answer:

41.67%

Step-by-step explanation:

:)

Answer:

Hi there! The correct answer should be: x is 60 degrees

Step-by-step explanation:

okay, so the equation is:

2x + 60 = 180

which we will solve:

2x + 60 - 60 = 180 - 60

2x = 120

x = 60

Answer:

$3.42

Step-by-step explanation:

the cost = 11.4 × 0.30 = $ 3.42

Answer:

Con cada depósito se pueden llenar 3,617.28 envases.

Step-by-step explanation:

Dado que el agua de un manantial se conduce hasta unos depósitos cilíndricos que miden 12 m de radio de la base y 20 m de altura, y luego se embotella en bidones de 2.5 litros, para determinar cuántos envases se llenan con cada depósito se debe realizar el siguiente cálculo, sabiendo que el volumen de un cilindro se obtiene multiplicando pi por el radio del cilindro al cuadrado por su altura:

3.14 x (12x12) x 20 = X

3.14 x 144 x 20 = X

452.16 x 20 = X

9,043.2 = X

9,043.2 / 2.5 = X

3,617.28 = X

Por lo tanto, con cada depósito se pueden llenar 3,617.28 envases.

Answer:

1) glazed = 48 people

Chocolate = 72 people

Jelly = 24 people

Coconut = 16 people

2)9th grade = 219 students

10th grade = 167 students

11th grade = 147 students

12th grade = 151 students

Step-by-step explanation:

We are solving the examples;

1) We are told that there are 20 students in Kayla's first period class.

No. that preferred glazed donuts = 6

No. that preferred chocolate donuts = 9

No. that preferred jelly donut = 3

Number that preferred coconut donut = 2

Now,there are a total of 160 students in the entire grade. So to find the Number of students in this entire grade that will each prefer the types of donuts listed above, we will solve as;

For glazed donuts; 6/20 × 160 = 48 people

For chocolate donuts; 9/20 × 160 = 72 people

For jelly donut; 3/20 × 160 = 24 people

For coconut donut; 2/20 × 160 = 16 people

2) Total number of students is;

9th grade = 300 students

10th grade = 275 students

11th grade = 250 students

12th grade = 280 students

73% of 9th grade prefer valorant. Thus;

73% × 300 ≈ 219 students

61% of 10th grade prefer valorant. Thus;

61% × 275 ≈ 167 students

59% of 11th grade prefer valorant. Thus;

59% × 250 ≈ 147 students

54% of 12th grade prefer valorant. Thus;

54% × 280 ≈ 151 students

because its isosceles so 9+9=x²

and x equal

2√3

Answer:

(3/2)√2

Step-by-step explanation:

Here the ratio of x to 3 is the sine of the 45 degree angle.

Thus:

 x       √2

----- = -------

 3         2

Cross multiplying, we get 2x = 3√2, so that x must be (3/2)√2

0.07

EXPLANATION  

The number of sophmores is 2+25+3 = 30.

Of these sophmores, 2 drive to school.

So the probability that a student drives to school, given that they are a sophmore, is 2/30, or approximately 0.07.

Answer:

your questions is not complete yet please send full questions and write your question ⁉️ so I will solve your problem

Answer:

Step-by-step explanation:

[tex]a^{2} +b^{2} =c^{2} \\6^{2} +7^{2} =x^{2} \\\sqrt{85} = x[/tex]

Answer:

sqrt(85) =x

Step-by-step explanation:

Since this is a right triangle, we can use the Pythagorean theorem to find the hypotenuse

a^2 + b^2 = c^2  where a and b are the legs and c is the hypotenuse

6^2 + 7^2 = x^2

36+49 = x^2

85 = x^2

Take the square root of each side

sqrt(85) = sqrt(x^2)

sqrt(85) =x

Answer:

7

Step-by-step explanation:

AB = 3x-2

Let x=3

AB = 3*3 -2

    = 9-2

    =7

Answer:

14

Step-by-step explanation:

Because it occurs the most frequently in the given data set

Answer:

14 and 77

Step-by-step explanation:

I just used a calculator

Answer:

y = - 0.181x + 24157.2

Step-by-step explanation:

Equation of the regression line is given from. The table by the Coefficient of the predictor, x variable and the intercept value :

The predictor here is mileage, which has a Coefficient of - 0.181

The constant value = intercept 24157.2

The regression equation is written in the form :

y = mx + c ; m = slope = Coefficient of predictor, ; x = predictor,

Hence, we have :

y = - 0.181x + 24157.2

Answer:

A.

Step-by-step explanation:

on edge2022

Answer:21 students

Step-by-step explanation: 3x7=21 students.