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fiasKO [112]
3 years ago
6

Dakota wants to build 8 birdhouses, he needs to point 6 square feet of plywood, for each birdhouse is the plywood cause $0.56 pe

r square foot, how much will it cost to go to to make his bird houses
Mathematics
1 answer:
Westkost [7]3 years ago
3 0

Answer:

$26.88

Step-by-step explanation:

Cost of a ply wood = $0.56 per square foot

If Dakota wants to build 8 birdhouses and he needs to paint 6 square feet of plywood for each birdhouse, then the total area fir the 8 bird house will be expressed as:

8 * 6

= 48 sq. feet

Hence the area of 8 bird houses is 46sq. feet

Next is to calculate the amount it will cost to make the 8 bird houses.

Since 1 sq. foot = $0.56

48 sq. feet = y

cross multiply

y * 1 = 48 * 0.56

y =  26.88

Hence it will cost Dakota $26.88 to make hid bird houses

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Three times the difference of eight and twice a number is five times the number
Sophie [7]

Answer:

3*( 8-2n)=5n

The number is 24/11

Step-by-step explanation:

three times

3*

the difference of eight and twice a number

3*( 8-2n)

is five times the number

3*( 8-2n)=5n

To solve

Distribute

3*8 -3*2n = 5n

24 -6n = 5n

Add 6n to each side

24 - 6n +6n = 5n +6n

24 = 11n

Divide each side by 11

24/11 = 11n/11

24/11 =n

The number is 24/11

4 0
3 years ago
What is the radius of (x - 3)2 + (y + 4)2 = 14?
DochEvi [55]
(x-h)^2+(y-k)^2=r^2
r=radius
(x-3)^2+(y+4)^2=14
(x-3)^2+(y+4)^2=(√14)^2
answer is 2nd option
r=√14
6 0
2 years ago
I have to do Oder of operation and I need to show my work for all 10 questions so can someone help me?
Feliz [49]

Answer:

Order of Operations:

Parenthesis

Exponents

Multiplication

Division

Addition

Subtraction

Step-by-step explanation:

3 0
3 years ago
If $9x^2 - 16x + k$ is a perfect square trinomial, find $k$.
Lady_Fox [76]

Answer:is this a real quistion

Step-by-step explanation:?

7 0
3 years ago
Let (6,-5) be a point on the terminal side of θ. Find the exact values of sin θ, sec θ, and tan θ.
makvit [3.9K]

Answer:

sinθ = -5/√61

secθ = √61/6

tanθ = -5/6

Step-by-step explanation:

From the given coordinate (6, -5), x = 6 and y = -5. This shows that the point lies in the 4th quadrant. In the fourth quadrant, only cos θ is positive, both sin θ and tan θ are negative.

Let us get the value of the radius 'r' first before calculating the trigonometry identities.

Using the Pythagoras theorem;

r^2 = x^2 + y^2\\r^2 = 6^2 + (-5)^2\\r^2 = 36+25\\r^2 = 61\\r = \sqrt{61}

Using SOH, CAH, TOA to get the trigonometry identities;

Given x = 6, y =5 and r = √61

sin \theta = opp/hyp = y/r\\sin \theta = 5/\sqrt{61} \\

Since sin θ, is negative in the fourth quadrant, sin \theta = -5/\sqrt{61} \\

cos \theta = adj/hyp = x/r\\cos \theta = 6/\sqrt{61} \\

sec \theta = \frac{1}{cos \theta} \\sec \theta = \frac{1}{6/\sqrt{61}  } \\sec \theta = \frac{\sqrt{61} }{6}

For tanθ:

tan \theta = \frac{opp}{adj} = \frac{y}{x}  \\tan \theta = \frac{5}{6}\\

Since tan θ, is negative in the fourth quadrant, tan \theta = -5/6

7 0
3 years ago
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