Can you help me with this please

16.7, 6.7 and 22 degrees respectively are the measures of a, c and m<C

The given diagram is a triangle with the following sides

Hypotenuse = AC = 18

m<A = 68 Degrees

We need to determine the measure of a, b and m<C

Using the trigonometry identity

sin 68 = a/18

a = 18sin68

a = 16.7

Similarly;

cos68 = c/18

c = 18cos68

c = 6.7

Since the sum of angles in a triangle is 180 degrees, hence:

m<C = 90 - m<A

m<C = 90 - 68

m<C = 22 degrees

Hence the measure of a, c and m<C is 16.7, 6.7 and 22 degrees respectively.

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The area of the Region bounded by y = √x, y = 2-x², and y = -√2x is $\frac{32}{15}$.

To find the area of the region bounded by y = √x, y = 2-x², and y = -√2x, we need to graph the equations and determine the points of intersection. Then we can integrate to find the area.

Firstly, we'll graph the equations and find the points of intersection:

y = √xy = 2-x²y = -√2xGraph of y = √x, y = 2-x², and y = -√2xWe need to solve for the points of intersection, so we'll set the equations equal to each other and solve for x:√x = 2-x²√x + x² - 2 = 0Let's substitute u = x² + 1:√x + u - 3 = 0√x = 3 - u

(Note: Since we squared both sides, we have to check if the solution is valid.)u = -2x²u + x² + 1 = 0 (substituting back in for u

)Factoring gives us:u = (1, -2)We can then solve for x and y:x = ±1, y = 1y = 2 - 1 = 1, x = 0y = -√2x = -√2, x = 2y = 0, x = 0Graph of y = √x, y = 2-x², and y = -√2x with points of intersection to find the area, we need to integrate.

The area is bounded by the x-values -1 to 2, so we'll integrate with respect to x:$$\int_{-1}^0 (2 - x^2) - \sqrt{x} \ dx + \int_0^1 \sqrt{x} - \sqrt{2x} \ dx$$

We can then simplify and integrate:$$\left[\frac{2x^3}{3} - \frac{2x^{5/2}}{5/2} + \frac{4}{3}x^{3/2}\right]_{-1}^0 + \left[\frac{2x^{3/2}}{3} - \frac{4x^{3/2}}{3}\right]_0^1$$$$= \frac{4}{3} + \frac{4}{3} - \frac{4}{15} + \frac{4}{3} - \frac{4}{3}$$$$= \frac{32}{15}$$

Therefore, the area of the region bounded by y = √x, y = 2-x², and y = -√2x is $\frac{32}{15}$.

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Answer:

360 in^2

Step-by-step explanation:

Area of bottom rectangle : A = 7.5 x 17 = 127.5

Area of front rectangle: A = 6 x 17 = 102

Area of back rectangle: A = 4.5 x 17 = 76.5

Area of 2 triangles: 2(4.5 x 6) = 54

Total surface area = 127.5 + 102 + 76.5 + 54 = 360 in^2

Answer:

Ok I subbed

Step-by-step explanation:

PLZ MRAK ME BRAINLIEST

Answer:

cool, will do pls brainliest

Step-by-step explanation:

Answer:

864

Step-by-step explanation:

80/100 simplified is 4/5

so you do 4/5 of 1080

which is 1080 divided by 5 that is 216

and then 216 x 4 which is 864

Answer:

9 years

Step-by-step explanation:
To determine the number of years it will take for the new furnace to pay for itself, we need to compare the cost of running the old furnace for that period with the cost of buying and operating the new furnace during the same time.

Let's calculate the cost of running the old furnace for one year:

Old furnace cost per year = $850

Now, let's calculate the savings in energy costs for the new furnace:

Savings in energy costs per year = 34% of $850

= 0.34 * $850

= $289

The total cost of buying and operating the new furnace for one year is:

New furnace cost per year = Cost of buying the new furnace + Savings in energy costs per year

= $2,500 + $289

= $2,789

To find the number of years it will take for the new furnace to pay for itself, we divide the cost of the new furnace by the annual savings:

Number of years to pay for itself = Cost of buying the new furnace / Annual savings

= $2,500 / $289

≈ 8.65

Since we cannot have a fraction of a year, we can round up to the nearest whole number. Therefore, it will take approximately 9 years for the new furnace to pay for itself.

Answer:

It would be +3

Step-by-step explanation:

When you add -8 plus a positive 3 that would be a negative -3

Answer:

-5=-8--3

= -3 Start at -8 go down untill u reach -5 then count how many u went down

The number of people at the graduation party would be 57.5, so the quantity of food required for them is Food item A  = 65 piece, Food item B  = 14(1/6) pounds and Food item C  = 4(3/8) pounds.

What is fraction?

In mathematics, a fraction is represented by a number that identifies a portion of a whole. A fraction is a component or section taken from a whole, which can be any number, a certain amount, or an object.

Number of guests in the graduation party, a = 40

Number of drop in guests at the graduation party,  b = 35

Now, drop-in guests are counted as half a guest, so the number becomes b = 35/2.

Total number of guests = a + b

Total number of guests = 40 + 35/2

Total number of guests = (80+35)/2

Total number of guests = 115/2

Total number of guests = 57(1/2)...

The table shows amount of food -

Food item A 26 piece, Food item B  5(2/3) pounds and Food item C  1(3/4) pounds.

Also, it recommends amount of food to order for 23 party guests.

So, number of groups having 23 people -

= 2(23) + 11.5 group

= 2(23) + 1(1/2) group...

Therefore, there should be 2(1/2) times quantity of food mentioned in the table.

For Food item A  - 26 × 2(1/2)

= 26 × 5/2

= 65 piece

For Food item B  - 5(2/3) × 2(1/2)

= 17/3 × 5/2

= 85/6

= 14(1/6) pounds...

For Food item C  - 1(3/4) × 2(1/2)

= 7/4 × 5/2

= 35/8

= 4(3/8) pounds...

Therefore, the quantity of food for party should be Food item A  = 65 piece, Food item B  = 14(1/6) pounds and Food item C  = 4(3/8) pounds.

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Answer:

d. you just have to multiply everything

Answer:

You should turn 225 degrees anti-clockwise to face North.

NOTE: Bare in mind, the formula to finding slope is y = mx + b, for slope = m.

Simply observe the given equation.

\(y=mx+b\)

\(y=\frac{3}{2}x-6\)

Notice \(\frac{3}{2}\) is in the place of \(m\) in the equation. This means that our slope is:

\(m=\frac{3}{2}\).

Hope this helps!

Answer:

Slope = -0.020/2.000 = -0.010

 x-intercept = 3000/1 = 3000.00000

 y-intercept = 3000/100 = 30

Step-by-step explanation:

I think

The polynomial -8m²n - 7m²n can be factored using the common factor -m²n. The complete factored form of the polynomial is (-m²n) (8 + 7a).

To find the complete factored form of the polynomial -8m²n - 7m²n, we can factor out common terms from both the terms. The common factor in the terms -8m²n and -7m²n is -m²n. We can write the polynomial as:

-8m²n - 7m²n = (-m²n) (8 + 7a)

Therefore, the complete factored form of the polynomial -8m²n - 7m²n is (-m²n) (8 + 7a). This expression represents the original polynomial in a multiplied form. We can expand this expression using distributive law to verify that it is equivalent to the original polynomial.

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2 cups you need to fill the jug to 4.

The ratio can be defined as the number that can be used to represent one quantity as a percentage of another. Only when the two numbers in a ratio have the same unit can they be compared. Ratios are used to compare two objects.

It depends on the size and markings of the jug.

If we assume that the jug is divided into equal intervals and each interval represents an equal volume,

then we can say that filling the jug to the second interval means that the jug is 1/2 full.

To fill the jug to the fourth interval, we need to fill the remaining 2 intervals, which means we need to add another 2 cups of liquid.

So, the answer is 2 cups.

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Answer:

False.  They would form 4 right angles (90)

Step-by-step explanation:

Answer:

Now first we have to found the decrease length.

which is:4mm-3mm=1mm

Now

we have to use formula to calculate the percentage which is

= decrease length/total length ×100%

=. 1/4×100%

=. 25 %

Therefore,the decrease rate is 25%.

The graph of the function y = 5|x - 4| is added as an attachment

From the question, we have the following parameters that can be used in our computation:

y = 5|x - 4|

The above function is an absolute value function that has been transformed as follows

Next, we plot the graph using a graphing tool by taking not of the above transformations rules

The graph of the function is added as an attachment

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Answer:

It is A

Step-by-step explanation:

The denominator , 'x' cannot be 0    <=====undefined

  but it CAN be any other number

    domain ( the 'x' values' ) can be all numbers except 0

 The range will be all numbers except zero also....there is no way to make the y = 9/x  eqaul to 0 .

your answer is going to be a

Answer:

it is option A

Step-by-step explanation:

The expression simplifies to |2x| = -2x, when x<0 by definition of absolute value

If x<0, then the expression |2x| simplifies to -2x.

The absolute value of a number is the distance of the number from zero on the number line.

Since x is negative in this case, 2x will be negative as well.

Taking the absolute value of -2x will give us the opposite of -2x, which is 2x.

However, since we know that x<0, this means that -2x will always be a positive number.

Hence, the expression simplifies to |2x| = -2x, when x<0.

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Complete question

Simplify the expression |2x|  when x is less than 0, x<0

Answer:

me too (help)

Step-by-step explanation:

Answer:a

Step-by-step explanation:

⇒ d + e + f = b + a + a + c + b + c

⇒ d +e + f = 2a + 2b + 2c

= 2(a + b + c)

But, according to triangle angle sum theorem,

a + b + c = 180 degrees

Therefore, ⇒ d +e + f = 2(180°)

= 360°

Answer:

I only know a and b so don't hate me...

Step-by-step explanation:

Part A)

 Angle 3 is 103° because 77° + ∠3= 180° and  ∠3 = 180° - 77° = 103°

Part B)

Angle 4 is 77° because ∠3 + ∠4 = 180° and  ∠4 = 180° - 103° = 77°

Answer:

-3

Step-by-step explanation:

subtract 10 to the 25 so that cancels out the 10, you are left with -5m=15, then you divide the -5m by -5 to cancel it out on both sides. that leaves you with m by itself and once you do the division of 15 by -5 the result is -3

Answer:

Step-by-step explanation:

4 2/3 = 14/3 x 3/3 = 42/9. 42/9 + 7/9 = 49/9. 49/9 = 5 4/9

42/9

Answer:

1/2, or 50%

Step-by-step explanation:

out of the six possibilities, there are 3 odd numbers: 1, 3, 5

3 out of 6 is 1/2, therefore the probability is 1/2, or 50%

To verify if the relation is a function, it must be verified if from each value of x only one arrow departs.

A relation represents a function when each input value is mapped to a single output value.

In mapping notation, with the arrows, it must be verified if there is no input from which more than one arrow departs.

The problem is incomplete, hence the general procedure to verify if the relation is a function was presented.

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Answer:

multiply the first equation with 3, then add the two equations, you'll get the value of x, by putting the value of x in any of the two equations, find y, answer should be this,

x = 33/13,

y = 18/13

Answer:

Step-by-step explanation:

3x+y=9

     y=9-3x

4x-3y=6

     4x-6=3y

      y=(4x-6)/3

       y= 4/3x-2

9-3x=4/3x-2

9+2=4/3x+3x

11=13/3x

x=11*3/13

 =2.53

y=9-3*2.53

  =1.41

Answer:

D

Step-by-step explanation:

I'm really sry if it's wrong!