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3 years ago

The question is in the picture please explain.

Mathematics

1 answer:

lapo4ka [179]3 years ago

3 0

Answer:

x = 78

Step-by-step explanation:

Look at Triangle DBH. Two of its angles are known. Let y = <DHB

47 + 31 + y = 180 All triangles have 180 degrees. Combine the left.

78 + y = 180 Subtract 78 from both sides.

78-78+y = 180-78 Combine

y = 102

Notice that y + x = 180 They form a straight line.

102 + x = 180 Subtract 102 from both sides.

x = 78

You should notice that x is an exterior angle. (I didn't at first).

Exterior angles are the sum of the two remote interior angles which in this case, are 31 + 47 = 78

Much shorter and much easier.

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Write 3×3×3×3×5×5×5 in exponential form

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3( to the power of 4) times 5(to the power of 3)

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2 years ago

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Deshawn invests $5,000 in a savings account that earns 6% annual interest, compounded continuously. How long will it take to dou

koban [17]

Answer:

Step-by-step explanation:

Investment = $5,000

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5000/100 x 5/1

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3 years ago

Please help me with this math word problem

hjlf

Answer: The cost of 16 pencils and 10 notebooks is $5.84.

Explanation: You can solve this using linear systems:

Let X be the cost per pencil, and let Y be the cost per notebook.

(1) 7x+8y=4.15
(2) 5x+3y=1.77

Choose a variable to eliminate. I’ll eliminate X first as an example. To eliminate a variable, you must have the same coefficient beside the variable for both equations.

Equation 1 now becomes:

(3) 35x+40y=20.75

Equation 2 now becomes:

(4) 35x+21y=12.39

Now that you have 35 as a coefficient for X in both equations, you can subtract the two equations to officially eliminate it!

(3)-(4)

19y=8.36
y=0.44

Now that you have the value of Y, substitute that value into either one of the equations to get X.

Substitute y=0.44 in (1)

7x+8(0.44)=4.15
7x+3.52=4.15
7x=0.63
x=0.09

Therefore, the cost per pencil is $0.09/pencil and the cost per notebook is $0.44/notebook.

Almost done lol...

To find the cost of 16 pencils, multiply 0.09*16. That gives you $1.44, which will be the cost of 16 pencils.
The cost of 10 notebooks is 0.44*10, which gives you $4.40. That’s the cost of 10 notebooks.

To find the total price, add these values together!

1.44+4.40=5.84

Therefore, the cost of 16 pencils and 10 notebooks is $5.84.

Hope that helps シ

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2 years ago

Rationalize the denominator and simplify:

raketka [301]

Answer:

A) (√3-√2)/(√3+√2)

Step-by-step explanation:

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2 years ago

Farmer Joe has his horses in a rectangular pen. The length of the pen is 10 feet longer than three times its width. The total fe

Evgen [1.6K]

Answer:

The width of the garden is 100 feet.

Step-by-step explanation:

The formula for the perimeter of a rectangle is 2(L+W) where L = length and W = width.

Since we know the perimeter (the fence that surrounds the garden) is 820 feet and the length of the pen is 10 feet longer than 3 times its width, we can set an equation and solve for the width:

L = 10 + 3W

So substitute 10 + 3W for L in the equation:

2[(10 + 3W) + W) = 820

2(10 + 4W) = 820

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Therefore, the width of the garden is 100 feet.

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3 years ago