Complete the operation. Show steps needed
without a calculator.
a) 3.76 + 0.345

You may need to input the number only without the "degrees".

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Explanation:

First we'll focus on triangle DEH. Ignore the other points and values.

We have the sides of EH = 32 and DH = 49. Let x be the measure of angle DHE, which is one of the pieces of angle DHG. We'll use the cosine rule to find x.

cos(angle) = adjacent/hypotenuse

cos(H) = EH/DH

cos(x) = 32/49

x = arccos(32/49)

x = 49.227195

The value is approximate and rounded to 6 decimal places. Make sure your calculator is in degree mode. Arccos is the same as inverse cosine.

We'll come back to this value later.

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Now focus on triangle HFG. Ignore the other points.

We have the sides of FG = 38 and GH = 43

Let y be the measure of angle FHG, which is the missing piece to form angle DHG. Based on how x and y are set up, we can say x+y = angle DHG.

To find y, we'll need the sine rule this time

sin(angle) = opposite/hypotenuse

sin(H) = FG/GH

sin(y) = 38/43

y = arcsin(38/43)

y = 62.094527 which is approximate to 6 decimal places

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The last step is to add the values of x and y we found earlier

angle DHG = (angle DHE) + (angle FHG)

angle DHG = (x) + (y)

angle DHG = (49.227195) + (62.094527)

angle DHG = 111.321722

angle DHG = 111 degrees after rounding to the nearest whole degree.

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If you wanted to do this all in one step, you could say:

arccos(32/49)+arcsin(38/43) = 111.3217 which rounds to 111 degrees.

Answer:

a. root (x^2 + 64)

Step-by-step explanation:

(8^2 + x^2) = y^2

If you root both sides,

y = root (x^2 + 64)

k = 15 is the answer!!!!!!

Answer:

ASA

Step-by-step explanation:

Angles WXV and ZXY were proven congruent.

Angles W and Y were proven congruent.

Sides WX and XY were proven congruent.

2/5=x/30 so first one times by 6 and to get 12

Answer:

Lillian gets paid $12 an hour.

Step-by-step explanation:

I multiplied 7 times 5, which gives you 35. The you divide 420 by 35, which then gives you 12 dollars

Answer:

yes agree

Step-by-step explanation:

because negative 40 is less than negative 17

Answer:

hmm

Step-by-step explanation:

Answer:

Se pueden formar 2520 palabras distintas de 7 letras con las letras de la palabra ESCUsil

Explicacion:listo :)

Given:

Length of a rectangle = (2x+3) units

Width of the rectangle = (x+6) units

To find:

The perimeter and the area of the rectangle.

Solution:

We know that, the perimeter of the rectangle is

[tex]Perimeter=2(Length+Width)[/tex]

[tex]Perimeter=2((2x+3)+(x+6))[/tex]

[tex]Perimeter=2(3x+9)[/tex]

[tex]Perimeter=6x+18[/tex]

The area of rectangle is

[tex]Area=Length\times width[/tex]

[tex]Area=(2x+3)\times (x+6)[/tex]

[tex]Area=2x^2+12x+3x+18[/tex]

[tex]Area=2x^2+15x+18[/tex]

Therefore, [tex]Perimeter=6x+18[/tex] and [tex]Area=2x^2+15x+18[/tex].

Answer:

Evaluate functions from their graph g(7)= 4

Step-by-step explanation:

If the point (a,b)(a,b)left parenthesis, a, comma, b, right parenthesis is on the graph, then g(a)=bg(a)=bg, left parenthesis, a, right parenthesis, equals, b.

We should look for the point on the graph whose x-coordinate is 7.

The point on the graph whose xxx-coordinate is 7 is the point (7,4)

Therefore, g(7)=4.

Answer:

12 months

Step-by-step explanation:

2150-350=1800

1800÷150=12

Answer:

85 + y is the answer

Step-by-step explanation:

(85+y)

Answer:

Step-by-step explanation:

b

6x - 2x = 16 + 8

4x = 24

x = 6

2

12p^7

Answer:

Your answer is D. 58

Step-by-step explanation:

x= [tex]\sqrt{(42^2+40^2)}[/tex]

Answer:

-9y and 7y are a pair of like terms.

Step-by-step explanation:

Like terms are the terms which have same variable and power. The coefficient is not necessary to be same.

Answer:

A bc it show that it travels 25 miles to the hour.

In other words Miles per hour= 25 to 1 hour

Step-by-step explanation:

Hope this helps :)

Answer:

If we are saying everyhing above sea level is taller then plants under sea level. Then here is the order

Step-by-step explanation:

-8, -6, -3, 2, 6

And just in case it's above sea level the shortest then 6, 2, -3, -6, -8

sorry for bad handwriting

Answer:

1: Moving 2:A cup of room temperature water 3:It can solidify into ice 4:The sun coming out every morning, warm air. 5:Cold air conditioning inside of a car, Night starts. 6:C 7:liquids 8: Into the leg 9:They slow down 10:smaller, slow down.

Step-by-step explanation:

Answer:

x = 20°

Step-by-step explanation:

by angle sum property of triangle

30 + 130 + x = 180

x = 180 - 160

Answer:

300

Step-by-step explanation:

(75*4)/1

Answer:

$7.01

Step-by-step explanation:

46.72 * 0.15 = 7.008

Answer:

Step-by-step explanation:

Multiply?

Answer:

.4321

Step-by-step explanation:

move the decimal to the left four times

We want to write four thousand three hundred twenty-one ten thousandths as a decimal​.

The number is:

4321.010

To do it, we need to understand what each place value represents, where the place values are the place of each digit in reference to the decimal point.

And for the right we have:

Of course, it continues in both ways, but this is enough to write our number.

We have:

"four thousand..."

Then the fourth digit at the left is a 4.

"... three hundred..."

The third digit is a 3.

"...twenty-one..."

The second digit is a 2, and the first is a 1.

For the right side, we do not have tenths, so the first digit at the right is a zero.

And "...ten thousandths"

We have a "10" in the second and third digits at the right of the decimal point.

Then our number is:

4321.010

If you want to learn more, you can read:

https://brainly.com/question/16552177

Answer: A

Step-by-step explanation:

The total minus the cost of the eggs leaves you with just the total of the potatoes. Since we know that the total of the potatoes is the product of 5 bags, we can divide the total of the potatoes by 5 to find the cost of each bag of potatoes.

Answer:

the answer is 4

Step-by-step explanation: