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3 years ago

Please help. Trig: Laws of Cosines

Mathematics

1 answer:

umka2103 [35]3 years ago

5 0

Answer:

21.4 units

Step-by-step explanation:

Greater angle: 180 - 80 = 100

diagonal² = 14² + 14² - 2(14)(14)cos(100)

diagonal² = 460.0700856454

diagonal = 21.4492444073

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Find the area of the following figure round to the nearest

inysia [295]

Answer:

lets divide the figure into two parts.

triangle base=2ft+2ft+6ft

triangle base=10ft

area of triangle = 1/2×base×height

area of triangle = 1/2×10ft×12ft

area of triangle =60ft²

area of square=side²

area of square=(6ft)²

area of square=36ft²

5 0

3 years ago

Find the H.C.F. of 8, 12, and 20

fomenos

Answer:

it is 4

Please Mark Brain list answer

Hope it helps you.

4 0

2 years ago

Read 2 more answers

Filipo is building a rectangular sandbox . The length of the sandbox is 1 foot longer than twice the width of the sandbox .the p

Alla [95]

Answer:

Part A : D.) $2w + 2(2w+ 1) = 29$

Part B : Length of the sandbox is 10 feet.

Step-by-step explanation:

Given,

Perimeter = 29 ft

We need to find the equation for the perimeter and also the length of the sandbox.

Solution,

Let the width of the sandbox be 'w'.

Now as per question said;

The length of the sandbox is 1 foot longer than twice the width of the sandbox.

So we can say that;

Length = $2w+1$

Now we know that the perimeter is equal to the sum of twice of length and width.

framing in equation form, we get;

Perimeter = $2(2w+1)+2w$

we have given the perimeter, so on substituting the value, we get;

$29=2(2w+1)+2w$

Hence The equation used to find the width is $29=2(2w+1)+2w$ .

Now we solve for 'w'.

Applying distributive property, we get;

$4w+2+2w=29\\\\6w+2=29$

Subtracting both side by '2' we get

$6w+2-2=29-2\\\\6w=27$

Dividing both side by 6 we get;

$\frac{6w}{6}=\frac{27}{6}\\\\w=4.5\ ft$

Width of the sandbox = 4.5 ft

Length of the sandbox = $2w+1=2\times4.5 +1 = 9+1=10\ ft$

Hence Length of the sandbox is 10 feet.

3 0

3 years ago

⎧

d1i1m1o1n [39]

Given:

The given expression to find the nth term of the sequence is $d(n)=d(n-1) \cdot (-5)$

The first term of the sequence is $d(1)=8$

We need to determine the third term of the sequence.

Second term:

The second term of the sequence can be determined by substituting n = 2 in the nth term of the sequence.

Thus, we have;

$d(2)=d(2-1) \cdot (-5)$

$d(2)=d(1) \cdot (-5)$

$d(2)=8 \cdot (-5)$

$d(2)=-40$

Thus, the second term of the sequence is -40.

Third term:

The third term of the sequence can be determined by substituting n = 3 in the nth term of the sequence.

Thus, we have;

$d(3)=d(3-1) \cdot (-5)$

$d(3)=-40 \cdot (-5)$

$d(3)=120$

Thus, the third term of the sequence is 120.

7 0

3 years ago

Read 2 more answers

Whats the rule for the pattern 8,6,9,7,10.....?

Delicious77 [7]

Answer:

subtract 2 and add 3

Step-by-step explanation:

8-2=6

6+3=9

9-2=7

7+3=10

4 0

3 years ago