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IgorC [24]
3 years ago
9

Please help me out explanation need it

Mathematics
2 answers:
deff fn [24]3 years ago
8 0
Tan is opposite over adjacent so tan c is 24/32 which is 3/4
crimeas [40]3 years ago
3 0

Answer:

3/4

Step-by-step explanation:

tan C = opposite side/ adjacent side = AB / BC = 24 /32 = 3*8/ 4*8 = 3/4

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looks out from the crown of the Statue of Liberty, approximately 250 ft above ground. The tourist sees a ship coming into the ha
Zigmanuir [339]

Answer:

The distance from the base of the statue to the ship is 771.60 ft

Step-by-step explanation:

Refer the attached figure

Height of statue AB= 250 feet

The tourist sees a ship coming into the harbor and measures the angle of depression as 18°.

So, ∠ACB = 18°

We are supposed to find the distance from the base of the statue to the ship i.e. BC

In ΔABC

Tan \theta = \frac{Perpendicular}{Base}

Tan 18^{\circ}=\frac{AB}{BC}

Tan 18^{\circ}=\frac{250}{BC}

BC=\frac{250}{Tan 18^{\circ}}

BC=\frac{250}{0.324}

BC=771.60 ft

Hence the distance from the base of the statue to the ship is 771.60 ft

3 0
3 years ago
A new solid is created by cutting a right rectangular prism from a cube. The right rectangular prism has a length
Mila [183]

Volume of solid created  = 85m^{3}.

<u>Step-by-step explanation:</u>

We have , A new solid is created by cutting a right rectangular prism from a cube. The right rectangular prism has a length  of 5 m, a width of 4 m, and a height of 2 m. The side lengths of the cube are 5 m . Volume of solid created = Volume of cube  - Volume of rectangular prism

Volume of cube = side^{3}

⇒ Volume1 = side^{3}

⇒ Volume1 = 5^{3}

⇒ Volume1 = 125m^{3}

Volume of rectangular prism = wlh

⇒ Volume2 = wlh

⇒ Volume2 = 5(4)(2)

⇒ Volume2 = 40m^{3}

Now,  Volume of solid created = Volume of cube  - Volume of rectangular prism

⇒ Volume of solid created  = Volume1 - Volume2

⇒ Volume of solid created  = 125m^{3} - 40m^{3}

⇒ Volume of solid created  = 85m^{3}

∴ Volume of solid created  = 85m^{3}.

8 0
3 years ago
Suppose that the area of square lawn is 25x^2+40x+16
satela [25.4K]

Answer:

(5x+4)^2

Step-by-step explanation:

7 0
3 years ago
Find the length of the third side. If necessary, write in simplest radical form
NARA [144]

Answer:

5

Step-by-step explanation:

Since this is a right triangle, we can use the Pythagorean theorem

a^2+b^2 = c^2  where a and b are the legs and c is the hypotenuse

a^2 + 10^2 = (5 sqrt(5))^2

a^2 +100 = 25(5)

a^2 +100 = 125

a^2 = 125-100

a^2 = 25

Taking the square root of each side

sqrt(a^2) = sqrt(25)

a = 5

6 0
3 years ago
Triangle D E F is shown. The length of E F is 3, the length of F D is 6, and the length of D E is 5. Heron’s formula: Area = Sta
Galina-37 [17]

Answer:

2 radical 14

Step-by-step

square root of  7(7-3)(7-5)(7-6)

which is the square root of 56

which is about 7.5 or 2 radical 14

6 0
3 years ago
Read 2 more answers
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