find the unknown angle
how to solve this problem??
​

Answer: a. p = c/5 - 43        b. 17 people

Step-by-step explanation:

c= 5p + 215  

A)  a said solve for p so we will solve for p in the equation.

c= 5p + 215  First   Subtract 215 from both sides

-215     -215  

c - 215 = 5p Now divide both sides by 5.

p = c/5 - 43  

B)  If c is the total cost  of hosting a birthday party then we will input 300 into the equation for c and solve for p.

300 = 5p + 215    First subtract 215 from both sides

-215             -215

 85 = 5p      Divide both sides by 5

 p = 17  

This means  17 people can attend the meeting if Allies parents are willing to spend $300.

The number of people that can attend the party will be 17

Since the formula given is represented by c = 5p + 215, to solve for p, we've to use subject of the formula and this will be:

c = 5p + 215

c - 215 = 5p

p = (c - 215)/5

p = c/5 - 43

Based on the equation given, the number of people that can attend the party will be:

c = 5p + 215

300 = 5p + 215

Collect like terms

5p = 300 - 215

5p = 85

p = 85/5

p = 17

Therefore, 17 people can attend the party.

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Answer:

112

Step-by-step explanation:

angle = 1/2(sum of Intercepted Arcs)

BFE = 1/2( 72+152)

       = 1/2 ( 224)

      = 112

Answer:

30 minutes

Step-by-step explanation:

Given the following :

Rita's tank contains =7.8 gallons of water

Filling rate = 2.1 gallons per minute

Wendy's tank contains = 97.8 gallons

Drain rate =. 0.9 gallons per minute

After how many minutes will both contain the same amount of water.

Let number of minutes = m

Rita is filling :

Initial + increase

7.8 + 2.1m ----(1)

Wendy is emptying:

Initial - decrease

97.8 - 0.9m - - - (2)

Equate both ;

(1) = (2)

7.8 + 2.1m = 97.8 - 0.9m

2.1m + 0.9m = 97.8 - 7.8

3m = 90

m = 90 / 3

m = 30 minutes

Answer: -12

Step-by-step explanation:

To get from -5 to 12, you'd add 7

So to get to the first, subtract 7 from -5

The first term of an arithmetic progression whose second term is -5  and third term is 12 is  -22.

An arithmetic progression is a sequence of numbers such that the difference between the consecutive terms is constant. A sequence -

a₁ , a₂, a₃ , a₄ ...... aₙ

will be an arithmetic progression if -

a₂ - a₁ = a₃ - a₂ = a₄ -  a₃ = d (constant) is called common difference of A.P. and a₁ = 'a' as the first term.

Given is the second term of an arithmetic sequence which is -5 and the third term is 12.

We can calculate the nth term of an A.P. using the formula -

a[n] = a + (n - 1)d

Now -

a[2] = -5

a + (2 - 1)d = -5

a + d = - 5                ... [1]

and

a[3] = 12

a + (3 - 1)d = 12

a + 2d = 12                .... [2]

Expanding equation [2] further, we get -

(a + d) + d = 12

- 5 + d = 12

d = 17

Then -

a + d = -5

a = - 5 - d

a = -5 - 17

a = - 22

Therefore, the first term of an arithmetic progression whose second term is -5  and third term is 12 is  -22.

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The product of the given expressions 6 × x × y and 2 × x × 3 × y are both equivalent to 6xy.

Multiplication is another term for product and it is the process of finding the sum of a number with itself a specified number of times, or any other analogous binary operation that combines other mathematical objects.

6 × x × y

= 6xy

2 × x × 3 × y

= 6xy

Hence, 6 × x × y and 2 × x × 3 × y equals 6xy.

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Answer:

[tex]\pi r + d \\ [/tex]

The circumference of a circle = 2πr

But here they asked half of the circumference = πr

By substituting this we get the answer 3π

Now add the diameter = 3π+6

answer: -13a + 1b

-5a - 8 = -13

2b - b = 1b

Answer:

Combine like terms

−5a -8a+2b-b

13a+2b-b

2

Combine like terms

again

3

Multiply by 1

Solution

-13a+b

Step-by-step explanation:

Viola drove 170 meters up the hill that makes an angle of 6° with the horizontal. We are to find what horizontal distance she has covered.

Let us say the horizontal distance she has covered is x meters. From the given information, we know the length of the inclined plane, which is 170 meters. Also, the angle of inclination is 6°. Hence, we know the value of opposite side and the hypotenuse.The horizontal distance she has covered is the adjacent side.Using the trigonometric formula of the tangent function, we get:

tan 6° = opposite/adjacent

tan 6° = x/170 x = 170

tan 6° Using a scientific calculator, we get

:x = 17.8 meters (nearest tenth of a meter).

Hence, the correct answer is option (d) 17.8 meters.

Viola has covered 17.8 meters horizontally.

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GH

Hi !

GH ∈ (HGY)

GH ∈ (GEF)  } => (HGY) ∩ (GEF) = GH

Good luck !

Answer:

21 cells

Step-by-step explanation:

4x5+1=21

Could you rephrase the question a bit? We can't tell what the numbers are... :)

Answer:

the answer is y=-3/4x-3

Answer:

The answer is

Step-by-step explanation:

To find an equation of a line when given the slope and a point we use the formula

[tex]y - y_1 = m(x - x_1)[/tex]

where

m is the slope

( x1 , y1) is the point

From the question the point is (8,−9) and slope -¾

The equation of the line is

[tex]y + 9 = - \frac{3}{4} (x - 8) \\ y + 9 = - \frac{3}{4} x + 6 \\ y = - \frac{3}{4} x + 6 - 9[/tex]

We have the final answer as

[tex]y = - \frac{3}{4} x - 3 \\ [/tex]

Hope this helps you

If a card is drawn from a standard deck and replaced. after the deck is shuffled, another card is pulled. Then the probability that the first card drawn is a heart and the second card is a spade is 1/16.

The probability of drawing a heart on the first card is 1/4 since there are 13 hearts out of a total of 52 cards in a standard deck.

After replacing the card and shuffling the deck, the probability of drawing a spade on the second card is also 1/4 since there are 13 spades out of a total of 52 cards in the deck (assuming the deck is well-shuffled).

To find the probability of both events happening (drawing a heart and then a spade), we multiply the individual probabilities together:

Probability = (1/4) * (1/4) = 1/16

Therefore, the probability that the first card drawn is a heart and the second card is a spade is 1/16.

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5 hrs

to work this out you need to do this:

Apple:

$70×2hrs+$25= $165

$70×3hrs+$25=$235

$70×4hrs+$25=$305

$70×5hrs+$25=$375

Local tech shop:

$65×2hr+$50=$180

$65×3hr+$50=$245

$65×4hr+$50=$310

$65×5hr+$50=$375

Now, if you go back and check both the costs you'll see that they are similar after 5 hours.

Answer:

X int = (1,0)    y int= (0,1)

Step-by-step explanation:

Using a linear approximation the estimated value of (32.03)^(94/5) is approximately 547.95.

To estimate the value of (32.03)^(94/5) using linear approximation, we can start by taking the natural logarithm (ln) of the expression and then use the linear approximation formula. The linear approximation formula is given as:

f(x) ≈ f(a) + f'(a)(x - a)

In this case, our function is f(x) = ln(x), and we want to approximate it at x = 32.03. We'll choose a as a value close to 32.03 to simplify the calculations. Let's choose a = 32.

Now, let's calculate the linear approximation step by step:

Calculate the derivative of the function:

f'(x) = 1/x

Evaluate the function and its derivative at a:

f(a) = ln(32) ≈ 3.4657

f'(a) = 1/32 ≈ 0.03125

Plug the values into the linear approximation formula:

f(x) ≈ f(a) + f'(a)(x - a)

ln(32.03) ≈ 3.4657 + 0.03125(x - 32)

Substitute x = 32.03 into the approximation equation:

ln(32.03) ≈ 3.4657 + 0.03125(32.03 - 32)

ln(32.03) ≈ 3.4657 + 0.03125(0.03)

Simplify the expression:

ln(32.03) ≈ 3.4657 + 0.0009375

Calculate the exponential function to obtain the estimated value:

(32.03)^(94/5) ≈ e^(ln(32.03)) ≈ e^(3.4657 + 0.0009375)

Using a calculator or a computer program, we can find that the estimated value of (32.03)^(94/5) is approximately 547.95 (rounded to two decimal places).

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The correct answer is option D. Solution: x < -5 or x > -1, and the correct graph would have open circles at -33 and -29 with shading to the left of -33 and to the right of -29 on a number line.

To solve the inequality |x+31 > 2|, we need to consider two cases: when the expression inside the absolute value is positive and when it is negative.

Case 1: x+31 > 2

In this case, we can solve the inequality by subtracting 31 from both sides:

x + 31 - 31 > 2 - 31

x > -29

Case 2: -(x+31) > 2

To solve this case, we need to flip the inequality sign when multiplying or dividing by a negative number:

x + 31 < -2

x < -33

The solution to the inequality is x < -33 or x > -29.

Now, let's analyze the given answer choices and identify the correct solution and graph:

A. Solution: x < -5 or x > -1

This answer choice does not match the solution we derived, so it is incorrect.

B. Solution: x > -5 and x < -1

This answer choice does not match the solution we derived, so it is incorrect.

C. Solution: x > 1 and x < 5

This answer choice does not match the solution we derived, so it is incorrect.

D. Solution: x < -5 or x > -1

This answer choice matches the solution we derived (x < -33 or x > -29), so it is correct.

Based on the correct solution, the graph would have an open circle at -33 and -29 on a number line, indicating that the values are not included in the solution set. The line would be shaded to the left of -33 and to the right of -29.

The correct answer is option D. Solution: x < -5 or x > -1, and the correct graph would have open circles at -33 and -29 with shading to the left of -33 and to the right of -29 on a number line.

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Answer:

1.9x10^-2

hope this helps

Step-by-step explanation:

Answer:   1.9 • 10^-2

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

Answer: False

Step-by-step explanation: If two angles are complementary,

then the sum of their measures is 90 degrees.

In other words, any two angles whose sum is 90 when

their measures are added together are complementary angles.

Take a look at the angles below.

Do they have the same value?

Well obviously no, they don't so they aren't congruent.

However, they are still complementary because

the sum of their measures is 90 degrees.

Answer:

8x+4

Step-by-step explanation:

8x+4=56

56-4=52      52 divided 8 = 6.5

Given allowable stresses in steel and concrete of 150MPa and 12MPa, respectively, the maximum bending moment that the section can carry can be determined as follows:

Assuming the section is made up of steel and concrete, it is essential to consider the stresses on both materials. By considering the material properties of the section, the overall strength of the section can be obtained.

Therefore, the bending moment that a section can carry can be given by the formula:

M = σ_s * Z_s + σ_c * Z_c

Where: M = Maximum bending moment that the section can carry

           σ_s = Maximum allowable stress in steel

          Z_s = Section modulus of steel

          σ_c = Maximum allowable stress in concrete

           Z_c = Section modulus of concrete

Therefore, the maximum bending moment that the section can carry = 150*Z_s + 12*Z_c

To determine the section modulus of the steel and concrete, we can use the formula:

Z = I/y

whereZ = section modulus

          I = Moment of Inertia of the section

         y = distance of the neutral axis to the extreme fibre

By determining the section modulus of the steel and concrete, the maximum bending moment that the section can carry can be calculated.

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Step-by-step explanation:

come on, now, this is one of the (if not THE) most important formula you need to remember for the rest of your life :

a² + b² = c²

with c being the Hypotenuse (the side opposite of the 90° angle), a and b are the legs.

so, in our case, we have then

x² = 5² + 12² = 25 + 144 = 169

x = sqrt(169) = 13

15 is the GCD of 45 and 15.

The teacher of the sixth grade places the following numbers on the board and asks her students to determine the GCD of these digits:C. 45D. 15GCD (45, 15) or the Greatest Common Divisor of 45 and 15 is the largest number that divides both 45 and 15 without leaving a remainder.The prime factorization of 45 is as follows:45 = 3 x 3 x 5To get the prime factorization of a number, divide it by its smallest prime factor (which is 3 in this case) and then divide the resulting quotient by its smallest prime factor, if possible. This operation is repeated until a prime number is reached.The prime factorization of 15 is as follows:15 = 3 x 5Thus, the common factors between 45 and 15 are 3 and 5, and the highest common factor is 3 x 5 = 15, which is the Greatest Common Divisor.GCD (45, 15) = 15

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Answer:

the answer is 4160

Step-by-step explanation:

because if you subtract 5400 by the money you worked for that is your sum yw xx.

Answer:

Step-by-step explanation:

We have to subtract the amount of money that you have earned by the amount of money that the car costs.

$5400-$1240 is $4160

So you need $4160 more money to buy the car

(Good luck getting that much money XD)

Hope this helps!