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Sliva [168]
3 years ago
6

A roofer sketches a diagram of a house on which he is working.

Mathematics
2 answers:
docker41 [41]3 years ago
4 0
Using the SSA formula:

X = SQRT ( 40^2 + 26^2 - 2*40*26*cos(65))

X = SQRT(2276 - 2080*cos(65))

X = SQRT(1396.954)

X = 37.37 = 37.4 ft.
pychu [463]3 years ago
3 0

Answer:

(B)37.4 feet

Step-by-step explanation:

From he given diagram, let width of the house be x, then using the cosine formula, we get

x^2=(40)^2+(26)^2-2(40)(26)cos65^{\circ}

=1600+676-2080(0.422)

=2276-877.76

=1398.24

Thus, x^2=1398.24

⇒x=\sqrt{1398.24}

⇒x=37.4 ft

Therefore, the width of the house is 37.4 feet.

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Is the expression below completely factored? If not, complete the factorization.
Ket [755]

Answer:

A) No, because the greatest common factor is 8y?, and the completely factored form is 8y2(4y2 - 6y + 3).

Step-by-step explanation:

Considering the expression

4y(8y3 – 12y2 + 6y)

From the elements in the parenthesis, 2 and y can still be factored out such that what will be left of each element

8y3/2y = 4y2

12y2/2y = 6y

6y/2y = 3

Hence

4y(8y3 – 12y2 + 6y) = 4y*2y(4y2 - 6y +3)

= 8y2(4y2 - 6y + 3)

6 0
3 years ago
Eva and Ola have some amount of money,
hram777 [196]

Answer:

<em>£</em><em>1</em><em>9</em>

Step-by-step explanation:

Cheryl = 7 + 5 = £12

this means ova and eva also have £12 at the end

EVA'S ORIGINAL AMOUNT : X -7 =12

X = £19

6 0
3 years ago
Take LCM ald then do in full process​please help me
Marina86 [1]

Answer:a) L.C.M OF 2,3,5 is 30

THEREFORE=60/30+15/30÷10/30-6/30

=60/30+15/30×30/10-6/30(DMAS)

=60/30+3/2-6/30

=60+45/30 -6/30(ADDITION FIRST THEN SUBTRACTION.

=105/30-6/30

=105-6/30

=99/30

=33/10

b)(3+1/2)÷(2-1/2)=L.C.M IS 2,=(6+1/2)÷(4-1/2)=7/2÷3/2=7/3

8 0
3 years ago
If 2x + 5 =8 ×, then 12x=
nadya68 [22]
<span>2x + 5 =8x
6x = 5
x = 5/6

12x = 12(5/6) = 10</span>
5 0
3 years ago
Read 2 more answers
On a number line, Karlie has to divide the space between —5 and —3 into five smaller, equal spaces. On what numbers does Karlie
Dafna1 [17]

Answer:

  {-4.6, -4.2, -3.8, -3.4}

Step-by-step explanation:

The length of the space Karlie is dividing is -3-(-5) = 2 units. Then the length of each of those equal 5 spaces will be 2/5 units = 0.4 units.

Each mark on the number line is 0.4 units to the right of the previous one. The first (left-most) mark is 0.4 units to the right of -5, so is at -5+0.4 = -4.6.

The marks have to be placed at -4.6, -4.2, -3.8, and -3.4.

3 0
3 years ago
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