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alukav5142 [94]
4 years ago
8

Please help with this question

Mathematics
1 answer:
uysha [10]4 years ago
5 0

Answer:

C

Step-by-step explanation:

The difference formula for cosine is

cos(x - y) = cosxcosy + sinxsiny

Consider

cos75 = cos(120 - 45)°, then

cos(120 - 45)°

= cos120°cos45° + sin120°sin45° → C

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Trigonometry
schepotkina [342]

The area of the triangle ABC is 207.5 square units.

Explanation:

The measurements of the sides of the triangle are AB=19, AC=24 and m\angle A=65^{\circ}

We need to determine the area of the triangle ABC.

<u>Area of the triangle:</u>

The area of the triangle can be determined using the formula,

{Area}=\frac{1}{2} b c \sin A

where b=19, c=24 and m\angle A=65^{\circ}

Substituting these values in the above formula, we get,

{Area}=\frac{1}{2}(19)(24)  \sin 65^{\circ}

Simplifying the values, we get,

{Area}=\frac{1}{2}(456) (0.91)

{Area}=\frac{1}{2}(414.96)

{Area}=207.48

Rounding off to the nearest tenth, we get,

{Area}=207.5

Thus, the area of the triangle ABC is 207.5 square units.

5 0
3 years ago
Read 2 more answers
The measures of two angles in this acute triangle are 38° and 72°. What is the measure of the third angle? A. 18° B. 33° C. 70°
Dovator [93]

Answer:

C

Step-by-step explanation:

38+72= 110

180-110= 70

C

6 0
3 years ago
What is the approximate length of the third side of the triangle below?
frozen [14]

Answer:

it is 60 i thim k think so

6 0
3 years ago
Read 2 more answers
Janet wants to build a fence around her square garden.her garden has an area of 81 square feet.How much fencing will Janet need?
densk [106]

Area of garden = 81 ft²

Area of square = side²

\rm \implies side ^{2}  =  81  \\  \\ \rm \implies side  =   \sqrt{81}  \\  \\ \rm \implies side   =   \sqrt{ {9}^{2} }  \\  \\ \rm \implies side   =  9 \: ft

Perimeter of square = 4 × Side

= 4 × 9

= 36 ft

\therefore Fencing needed by Janet = 36 ft

8 0
3 years ago
How long is it:
nataly862011 [7]

Answer:

a) 15h 45m gap

b) 06h 15m gap

c) 14h 30m gap

d) 16h 25m gap

6 0
2 years ago
Read 2 more answers
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