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3 years ago

Which congruence statement says the same thing as ABC=DEF

Mathematics

1 answer:

Oliga [24]3 years ago

4 0

Answer is <span>c.) ACB=DFE

hope that helps

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Please help? What is the tangent ratio of angle B?

bearhunter [10]

Answer:

Step-by-step explanation:

The tangent equation = side opposite angle / side beside angle

which in this case is $tan\alpha =AC/ BC$

which is the third choice

Hope that helps!

5 0

3 years ago

Estimate the perimeter, and also please show your work!

jeka57 [31]

Answer:

You can also just find the area and times that by 4

If you want I can do that, just spam tell me and I'll figure the area out and tell u the answer in comments.

Step-by-step explanation:

7 0

2 years ago

Two streets bounding your triangular lot make an angle of 74∘. The lengths of the two sides of the lot on these streets are 126

ycow [4]

Answer: a) Yes, there is enough fance

b) 58.1° and 47.9°

c) The city will not approve, because 1/3 of the area is just 2220.5ft²

Step-by-step explanation:

a) using law of cosines: x is the side we do not know.

x² = 126² + 110² - 2.126.110.cos74°

x² = 20335.3

x = 142.6 ft

So 150 > 142.6, there is enough fance

b) using law of sine:

sin 74/ 142.6 = sinα/126 = sinβ/110

sin 74/ 142.6 = sinα/126

0.006741 = sinα/126

sinα = 0.849

α = sin⁻¹(0.849)

α = 58.1°

sin 74/ 142.6 = sinβ/110

0.006741 = sinβ/110

sinβ = 0.741

β = sin⁻¹(0.741)

β = 47.9°

Checking: 74+58.1+47.9 = 180° ok

c) Using Heron A² = p(p-a)(p-b)(p-c)

p = a+b+c/2

p=126+110+142.6/2

p=189.3

A² = 189.3(189.3-126)(189.3-110)(189.3-142.6)

A = 6661.5 ft²

1/3 A = 2220.5

So 2300 > 2220.5. The area you want to build is bigger than the area available.

The city will not approve

7 0

3 years ago

A rectangle has vertices at A(4,1), B(1,1), C(1,-6), and D(4,-6). What is the area of the rectangle?

slamgirl [31]

using the given coordinates, the rectangle is 7 by 3 units

area = 7*3 = 21 square units

8 0

3 years ago

Read 2 more answers

Determine to the nearest and tenth the surface area of a tin can with a radius of 8 centimeters and a height of 16 centimeters

trapecia [35]

Answer:

1206 square centimeters

Step-by-step explanation:

Hello, I can help you with that

a tin is a cylinder,a cylinder is formed by 2 circles anda 1 rectangle

let's remember

Area of the circle

$A=\pi *radius^{2}$

Area of the rectangle

$A_{r}=length *wide\\$

the length of the rectangle is the height of the tin (16 cm)

and the wide is equal to the perimeter of the circle

perimeter of the circle(P)

$P=2*\pi *radius$

so, the area of the rectangle is

$A_{r}=length *wide\\\\A_{r}=heigth *2*\pi *radius$

Step one

find the total area:

the total area is equal to 2 circles + 1 rectangle

$A_{total}=(2* \pi *radius^{2} )+(height*2*\pi *radius)$

Step two

put the values into the equation

height = 16 cm

radius= 8 cm

$A_{total}=(2* \pi *radius^{2} )+(height*2*\pi *radius)\\A_{total}=(2* \pi )+(16*2*\pi *8)\\A_{total}=(128* \pi )+(256*\pi )\\A_{total}= 378 \pi\\ A_{total}=1206.37$

so, the total area is 1206.37 square centimeters

I hope it helps, have a great day.

6 0

3 years ago

Read 2 more answers