50 Points! Multiple choice geometry question. Photo attached. Thank you!

Answer:

Where is the table? Is there supposed to be an image attached?

Step-by-step explanation:

Answer:

12 feet

Step-by-step explanation:

1 inch= 8 feet

1/2 inch= 4 feet

1/4 inch= 2 feet

(2x2)/2= 2  (one triangle)

2x4=8 (rectangle)

2+2=4 +8=12

^2 was added 2 times cause there are 2 triangles

(you did not need a 3rd measurement cause the triangle measurements were equal)

The requreid,
(a) Approximate values of the given numbers are π ≈ 3.1, √6 ≈ 2.4, 2√6 ≈ 4.8, and √7 ≈ 2.6.
(b) √6  < √7 <  π  < 2√6

(a)

π ≈ 3.1 (since π is between 3 and 4, and is closer to 3.1 than to 3.2)

√6 ≈ 2.4 (since 6 is between 4 and 9, and the square root of 6 is closer to 2.4 than to 2.5)

2√6 ≈ 4.8 (since 2√6 is approximately twice the value of √6, which is 2.4)

√7 ≈ 2.6 (since 7 is between 4 and 9, and the square root of 7 is closer to 2.6 than to 2.7)

(b)

Order from least to greatest:

√6  < √7 <  π  < 2√6

Learn more about simplification here:

https://brainly.com/question/9912600

#SPJ1

Answer:

If rounded to the nearest 10 bacteria, then it would be 500 bacteria.

Step-by-step explanation:

First multiply 150 by two in order to get 300, that leaves 4 hours to figure out. From there you can figure out the rest by seeing that 4 is 2/3 of 6. I converted it into the decimal number .66. Multiply 300 by .66 to get 198 and then add it to 300 to get 498. Then just round it up to the nearest 10 bacteria which leaves you with the final answer of 500 bacteria.

Answer:

Step-by-step explanation:

\(-3x^2-7x-9=F(x)\)

\(F(-5)=-75+40-9=-49\)

\(F(2)=-12-14-9=-35\)

\(f(-5)+f(2)=-49-35=-84\)

Answer:

The value of x is 3, in the shown model

Option A is correct, the value of x in the given model is 3.

Two or more expressions with an Equal sign is called as Equation.

The equation of the given model is given as 4x-2=3x+1

Four times of x minus two equal to three times of x plus one.

We need to find the value of x

x is the variable and plus and minus are the operators of addition and subtraction.

Let us take the variable x terms on one side and constant on other side

4x-3x=2+1

x=3

Hence, the value of x in the given model is 3.

To learn more on Equation:

https://brainly.com/question/10413253

#SPJ7

The two integers are 2 and 7.

What is an expression?

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

Given that;

The algebraic expression is,

''a positive integer is 5 less than another. If the sum of the reciprocal of the smaller and twice the reciprocal of the larger is 4/3, ''

Now,

Let the smaller number = x

Then, The larger number = x + 5

And, The sum of the reciprocal of the smaller and twice the reciprocal of the larger is 4/3,

So, we can formulate;

⇒ 1/x + 2 × 1/ (x + 5) = 4/3

Solve for x as;

⇒ (x + 5) + 2x / x (x + 5) = 4/3

⇒ 3 (3x + 5) = 4 x (x + 5)

⇒ 9x + 15 = 4x² + 20x

⇒ 4x² + 11x - 15 = 0

⇒ 4x² + (15 - 4)x - 15 = 0

⇒ 4x² + 15x - 4x - 15 = 0

⇒ x (4x + 15) - 1 (4x + 15) = 0

⇒ (x - 1) (4x + 15) = 0

⇒ x = 1 and x = - 15 / 4

But, The number is positive integer.

So, x = 2

Thus, The smaller number = x = 2

And, The larger number = x + 5 = 2 + 5 = 7

So, The two integers are 2 and 7.

Learn more about the mathematical expression visit:

brainly.com/question/1859113

#SPJ1

Answer:

94 teachers drive SUV

Step-by-step explanation:

Given:

Total number of teachers in the survey = 48

Number of teachers who drive SUV = 15

Number of teachers who drive Sedan = 26

Number of teachers who drive truck = 7

To find: how many of 300 teachers drive an SUV

Solution:

Ratio of teachers who drive SUV = \(\frac{15}{48}=\frac{5}{16}\)

Out of 300, number of teachers who drive SUV = \(\frac{5}{16}(300)=93.75\) \(\approx 94\)

Answer: 94

Step-by-step explanation: Given:

Total number of teachers in the survey = 48

Number of teachers who drive SUV = 15

Number of teachers who drive Sedan = 26

Number of teachers who drive truck = 7

To find: how many of 300 teachers drive an SUV

Solution:

Ratio of teachers who drive SUV =

Out of 300, number of teachers who drive SUV =  

Answer:

7

16

Step-by-step explanation:

7/8× 1/2=

7 × 1

8 × 2

=7/16

Given:

Required:

To find

Explanation:

Consider

Now

Final Answer:

f(x) = \(\frac{2x + 7 - x^2}{4}\)

f(2) just means we substitute 2 in for x.

f(2) = \(\frac{2(2) + 7 - (2)^2}{4}\) = \(\frac{4 + 7 - 4}{4}\) = \(\frac{7}{4}\)

The series of rigid motion transformations that map polygon A to Polygon A''' are;

A rigid transformation is a transformation in which the distance between all pairs of points on the pre-image is preserved following the transformation.

The series of rigid motion transformations that map polygon A to polygon A''' are;

Transformation from A to A'

Transformation from A' to A''

Transformation from A'' to A'''

Learn more about rigid transformations in geometry here:

https://brainly.com/question/2222755

#SPJ1

Answer:c

c = - 15

Step-by-step explanation:

Simplifying

19c + 31 = 26c + -74

Reorder the terms:

31 + 19c = 26c + -74

Reorder the terms:

31 + 19c = -74 + 26c

Solving

31 + 19c = -74 + 26c

Solving for variable 'c'.

Move all terms containing c to the left, all other terms to the right.

Add '-26c' to each side of the equation.

31 + 19c + -26c = -74 + 26c + -26c

Combine like terms: 19c + -26c = -7c

31 + -7c = -74 + 26c + -26c

Combine like terms: 26c + -26c = 0

31 + -7c = -74 + 0

31 + -7c = -74

Add '-31' to each side of the equation.

31 + -31 + -7c = -74 + -31

Combine like terms: 31 + -31 = 0

0 + -7c = -74 + -31

-7c = -74 + -31

Combine like terms: -74 + -31 = -105

-7c = -105

Divide each side by '-7'.

c = 15

Simplifying

c = - 15

The perimeter of the triangle is 23x + 17.

Perimeter is simply the sum of all sides of a polygon.

Given the sides of the triangle;

Side one = 10x + 19

Side two = 12x - 2

Side three = x

To find the perimeter, we add the sides

Perimeter = Side one + Side two + side three

Perimeter = 10x + 19 + 12x - 2 + x

Collect and add like terms

Perimeter = 10x + 12x + x - 2 + 19

Perimeter = 23x - 2 + 19

Perimeter = 23x + 17

Therefore, the perimeter is 23x + 17.

Learn about area of triangles here: brainly.com/question/19305981

#SPJ1

Answer:

w - 7.4 ≥ 11

Step-by-step explanation:

If it's no less than, then it has has to be greater than or equal to

Given

To find

Let the purchase value be P,

ATQ,

P -3 x 0.1P = Rs 43,740

P-0.3P = Rs 43,740

0.7P = Rs 43,740

P = Rs 43,740/0.7

P = Rs 62,486 (approx)

Hence, the purchase value of the machine would be Rs 62,486

For the  trigonometric identity

11. If cos 27° = x, then the value of tan 63° interims of "x" is  x/√1 - x²

12. If Θ be an acute angle and 7sin²Θ + 3 cos²Θ= 4, then tan Θ is  1/√3

13. The value of tan 80° × tan 10° + sin² 70° + sin² 20° is 2

14. The value of (sin 47°/cos 43°)² + (cos 43°/sin 47°) -  4 cos²45° is 0

15. If 2 (cos²Θ - sin²Θ) = 1, Θ is a positive acute angle them the value of Θ is  30°

16. If 5 tan Θ = 4, then (5 sin Θ - 3 cos Θ)/(5 sin Θ + 2 cos Θ) is equal to 1/6

17. If sin(x + 20)° = cos (x + 10)° then the value of "x" is  30°

18. The value of (sin 65°)/ (cos 25°) is 1

To solve the various   trigonometric identity;

11. Given: cos 27° = x

We know that cos (90 - θ) = sin θ

So, cos 63° = sin 27°

And sin 63° = √1 - cos²27°

Substituting cos 27° = x, we get

sin 63° = √1 - x²

Therefore, Therefore, tan 63° = sin 63° / cos 63° = cos 27° / cos 63° = x / cos 63°.

= x/√1 - x²

12. Given: Θ is an acute angle and 7sin²Θ + 3 cos²Θ= 4

Since Θ is an acute angle, sin²Θ + cos²Θ = 1

Substituting sin²Θ + cos²Θ = 1 into the equation 7sin²Θ + 3 cos²Θ= 4, we get

7 (sin²Θ/ cos²Θ) + 3 = 4/cos²Θ - 4 sec²Θ

⇒ 7tan²Θ + 3 = 4(1 + tan²Θ)

⇒ 7tan²Θ + 3 = 4 + 4 tan²Θ

⇒3 tan²Θ = 1

⇒ tan²Θ = 1/3

⇒ tanΘ = 1/√3

13. For tan 80° × tan 10° + sin² 70° + sin² 20°

⇒ tan 80° = cot (90 - 80)° = cot 10°

⇒  sin 70° = cos (90 - 70) = cos 20°

⇒ cot 10° × tan 10° +  cos 20° + sin² 20°

= 1 + 1 = 2

14. (sin 47°/cos 43°)² + (cos 43°/sin 47°) - 4 cos²45°

= (sin 47°/cos43°)² + (cos 43°/sin 47°)² - 4(1/√2)²

= (sin (90° - 43°)/cos43°)² +  (cos (90° - 47°)/sin)²  = 4(1/2)

= (cos 43°/cos 43°)² + (sin 47°/ sin   47°)² - 2

= 1 + 1 - 2 = 0

15. 2 (cos²Θ - sin²Θ) = 1

cos²Θ - sin²Θ = 1/2

Since Θ is an acute angle, sin²Θ + cos²Θ = 1

Substituting sin²Θ + cos²Θ = 1 into the equation cos²Θ - sin²Θ = 1/2, we get

cos²Θ - (1 - cos²Θ) = 1/2

2cos²Θ = 3/2

cos Θ = √3/2(cos 30° = (√3)/2

= 30°

16. Given: 5 tan Θ = 4

We know that tan Θ = sin Θ / cos Θ

So, 5 sin Θ / cos Θ = 4

5 sin Θ = 4 cos Θ

Dividing both sides of the equation by 5, we get

sin Θ / cos Θ = 4/5

∴ sin Θ = 4/5 cos Θ

given that the expression is (5 sin Θ - 3 cos Θ)/(5 sin Θ + 2 cos Θ)

we substitute sin Θ = 4/5 cos Θ  into the equation

⇒(5 × 4/5 cos Θ  - 3 cos Θ)/(5 × 4/5 cos Θ  + 2 cos Θ)

= (4-3)/(4 + 2) = 1/6

17. Given: sin(x + 20)° = cos (x + 10)°

We know that sin(90 - θ) = cos θ

So, sin(x - 20)° = sin(90 - (3x + 10))°

⇒ (x - 20)° = (90 - (3x + 10))°

⇒ x - 20° = 90° - 3x + 10

⇒ 4 x = 120°

⇒ x = 120°/4

⇒ x = 30°

18. To find the value of (sin 65°) / (cos 25°), we can use the trigonometric identity:

To solve this, we can use the following trigonometric identities:

sin(90 - θ) = cos θ

cos(90 - θ) = sin θ

We can also use the fact that sin²θ + cos²θ = 1.

Rewrite sin (65°) / cos (25°)

⇒ sin (65°) = cos (25°)

∴ cos (25°)/ cos (25°) = 1

Find more exercises on  trigonometric identity;

https://brainly.com/question/24377281

#SPJ1

The expression factoring out the greatest common factor is  (3pf - 21p²)(f + 2).

We have the expression as

3pf² - 21p²f + 6pf - 42p²

Now, factorising the expression as

= 3pf² + 6pf - 21p²f - 42p²

= 3pf(f +2) - 21p²(f + 2)

= (3pf - 21p²)(f +2)

Learn more about expression here:

https://brainly.com/question/14083225

#SPJ1

The total interest paid is $58.52.

We are given that;

P = 800

r = 0.015

n = 18

Now,

We can plug in the values given in question:

EMI = 800 x 0.015 x (1+0.015) ^ 18 / { (1+0.015) ^ 18-1}

EMI = 47.64

This means that your monthly payments are $47.64.

To find the total interest paid, we can multiply the EMI by the number of months and subtract the loan amount12:

Total interest paid = EMI x n - P

Total interest paid = 47.64 x 18 - 800

Total interest paid = 58.52

Therefore, by the given interest the answer will be $58.52.

Learn more about simple interest here;

https://brainly.com/question/1548909

#SPJ1

Answer:

28p + 14q + 21r

Step-by-step explanation:

7(4p + 2q + 3r) ← multiply each term in the parenthesis by the 7 outside

= 28p + 14q + 21r

Answer:

the answer is 60miles

Step-by-step explanation:

because 15*4=60

Answer:

False. The product of two negative integers is a positive integer.

answer

a. 5,8

explanation

use numbers in each answer choice

+5 * -8 = - 40

+5 -8 = -3

Consider the form \(x^2+bx+c\). Find a pair of integers whose product is \(c\) and whose sum is \(b\). In this case, whose product is -40 and whose sum is -3.

\(\longrightarrow\boxed{\bold{(-8,5)}}\)

Write the factored form using these integers.

\((x-8) \ (x+5)\)

Answer:

B: 11/5

Step-by-step explanation:

40 divided by 8 equals 5 so divide 11 by 5 which equals n.

Answer:

Step-by-step explanation:

distribute the 3

you get 3x+24=15

subtract 24 from both sides

you get 3x=-9

divide 3 from both sides

you get x=-3

The final answer is (a+b)⁴ = a⁴ + 4a³b + 6a²b² + 4ab³ + b⁴.

Pascal's Triangle is a useful tool in expanding binomial expressions, which is a fundamental concept in algebra. For example, let's expand (a+b)⁴ using Pascal's Triangle.

Step 1: Write out Pascal's Triangle to the 4th row, as follows:

1

1 1

1 2 1

1 3 3 1

1 4 6 4 1

Step 2: Write out the coefficients in the binomial expression (a+b)⁴:

(a+b)⁴ = 1a⁴ + 4a³b + 6a²b² + 4ab³ + 1b⁴

Step 3: Substitute the coefficients from Pascal's Triangle into the binomial expression:

(a+b)⁴ =  1a⁴ + 4a³b + 6a²b² + 4ab³ + 1b⁴

=  1a⁴ + 4a³b + 6a²b² + 4ab³ + 1b⁴

= 1(a⁴) + 4(a³b) + 6(a²b²) + 4(ab³) + 1(b⁴)

= (1)(a⁴) + (4)(a³)(b) + (6)(a²)(b²) + (4)(a)(b³) + (1)(b⁴)

Step 4: Simplify the expression to get the final answer:

(a+b)⁴ = a⁴ + 4a³b + 6a²b² + 4ab³ + b⁴

Notice how the coefficients of each term in the expanded expression (1, 4, 6, 4, 1) correspond to the fourth row of Pascal's Triangle. Pascal's Triangle provides a quick and easy way to determine the coefficients of a binomial expansion for a given power of the binomial expression.

To learn more about Pascal's Triangle refer to:

brainly.com/question/26134164

#SPJ4

Answer:

Last one. I am 100% positive cause I'm good at this kind of math. If you need help on anything else, let me know

Step-by-step explanation:

Answer:

x = 3/2 or x = -1

Step-by-step explanation:

2x² - x - 3 = 0

2*(-3) = -6

Factors of -6:

(-1, 6), (1, -6), (-2, 3), (2, -3)

We need to find a pair that adds up to the co-eff of x which is (-1)

Factors :(2,-3)

2 - 3 = -1

so, 2x² - x - 3 = 0 can be written as:

2x² + 2x - 3x - 3 = 0

⇒ 2x(x + 1) -3(x + 1) = 0

⇒ (2x - 3)(x + 1) = 0

⇒ 2x - 3 = 0 or

x + 1 = 0

⇒ 2x = 3 or x = -1

⇒ x = 3/2 or x = -1