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3 years ago

Find the perimeter of the figure to the nearest hundredth. (includes picture)

Mathematics

1 answer:

mr_godi [17]3 years ago

4 0

Answer:

20+20+(circumference of a semi circle)

40+(1/2×2πr)

49+36

= 85mm

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Find an expression equivalent to 1-sinx ^2/1-cosx ^2

madam [21]

Answer:

cot²x

Step-by-step explanation:

Using the identity

sin²x + cos²x = 1, then

1 - sin²x = cos²x

1 - cos²x = sin²x

Thus

$\frac{1-sin^2x}{1-cos^2x}$ = $\frac{cos^2x}{sin^2x}$ = cot²x

8 0

3 years ago

In triangleABC, angle B= 90 degrees, cos(C)=15/17 and AB = 16 what is the measure of Angle A, Angle C and angle AC

Sergeeva-Olga [200]

Answer:

m∠C=28°, m∠A=62°, AC=34.1 units

Step-by-step explanation:

Given In ΔABC, m∠B = 90°, , and AB = 16 units. we have to find m∠A, m∠C, and AC.

As, cos(C)={15}/{17}

⇒ angle C=cos^{-1}(\frac{15}{17})=28.07^{\circ}\sim28^{\circ}

By angle sum property of triangle,

m∠A+m∠B+m∠C=180°

⇒ m∠A+90°+28°=180°

⇒ m∠A=62°

Now, we have to find the length of AC

sin 28^{\circ}=\frac{AB}{AC}

⇒ AC=\frac{16}{sin 28^{\circ}}=34.1units

The length of AC is 34.1 units

3 0

4 years ago

Solve for x. n(17+x)=34x-r

liq [111]

$x= \frac{17n+r}{n-34}$

6 0

3 years ago

One leg of a right triangular piece of land has a length of 24 yards. They hypotenuse has a length of 74 yards. The other leg ha

anastassius [24]

Solutions

To solve this problem we have to use the Pythagorean theorem. You can only use the Pythagorean theorem in Right Triangles. The longest side of the triangle is called the "hypotenuse". C² is the longest side so it is the hypotenuse . To calculate c² we have to do α² + β² = c².

Given

One leg of a right triangular piece of land has a length of 24 yards. They hypotenuse has a length of 74 yards. The other leg has a length of 10x yards.

First leg (24 yards) would be α

Second leg would be β

Hypotenuse (74 yards) would be c

Now we have points α β c.

a² (24) + β² ( x ) = c² (74)

Calculations

c² = α² + β²

74² = 24²+ β²

5476 = 576 + β²

5476 - 576 = β²
 
4900 = β²

→√4900
 
β = 70 yards

70 = 10x

x = 70÷10 = 7 yards

The second leg = 7 yards

3 0

4 years ago

A rectangle is 12.5 m wide and 18.24 m long.

strojnjashka [21]

The answer is
D. 228.00 m2
I hope i helped

4 0

3 years ago

Read 2 more answers