All categories

3 years ago

In ΔEFG, f = 1.2 inches, ∠E=55° and ∠F=109°. Find the length of e, to the nearest 10th of an inch.

Mathematics

1 answer:

Alekssandra [29.7K]3 years ago

3 0

Answer:

e = 1.04

Step-by-step explanation:

To find e, we apply the sine rule

e/sineE = f/sineF

e/sine55 = 1.2/sine109

e/0.8192 = 1.2/0.9455

0.9455e = 1.2 x 0.8192

e = 0.9830/0.9455

e = 1.0397

to nearest tenth = 1.04inch

You might be interested in

Seventeen people have been exposed to a particular disease. Each one independently has a 40% chance of contracting the disease.

docker41 [41]

Answer: the probability that the hospital's capacity will be exceeded = 0.035

Step-by-step explanation:

Shown in the attachment.

7 0

3 years ago

Is my answer right to this problem

VLD [36.1K]

Yes it’s right for this problem

7 0

2 years ago

The distance around a meteor crater is 9,799 ft. Find the diameter of the crater. Use 22 7 for π.

madam [21]

Answer:

3118.7ft

Step-by-step explanation:

Given data

Circumference= 9,799 ft

We want to find the diameter, but we need to get the radius

C= 2πr

9,799=2*22/7*r

9,799=2*3.142*r

9,799=6.284r

r=9,799/6.284

r= 1559.35

Hence the diameter is =1559.35*2

Diameter=3118.7ft

3 0

3 years ago

What is the probability that you would obtain a sum of 7 or a sum of 11 on the first roll? (Rolling two dice.)

crimeas [40]

Answer:

2/9

Step-by-step explanation:

Total outcome = 36

Sum of 7 = 6

Prob of sum of 7 = 6/36

Sum of 11 = 2

Prob of sum of 11 = 2/36

Prob of sum of 7 or 11 = 6/36+2/36

Prob of sum of 7 or 11 = (6+2)/36

Prob of sum of 7 or 11 = 8/36 = 2/9

5 0

3 years ago

Please help with #12 im confused<br> that is the key but i dont get it

Svetllana [295]

Given Equation

$\boxed{ \tt \: (8 \sqrt{3} - 2 \sqrt{2} )(8 \sqrt{3} + 2 \sqrt{2})}$

Step by step expansion:

$\dashrightarrow \sf \: (8 \sqrt{3} - 2 \sqrt{2} )(8 \sqrt{3} + 2 \sqrt{2})$

$\\ \\$

$\dashrightarrow \sf \: (8 \sqrt{3})^{2} - (2 \sqrt{2} {)}^{2}$

Reason:

(a + b)(a - b) = a²- b²

$\\ \\$

$\dashrightarrow \sf \: (8 {}^{2} \times { \sqrt{3} }^{2} )- (2 \sqrt{2} {)}^{2}$

$\\ \\$

$\dashrightarrow \sf \: (64 \times 3 ) - (2 \sqrt{2} {)}^{2}$

$\\ \\$

$\dashrightarrow \sf \: (64 \times 3 ) - (2 {}^{2} \times \sqrt{2} {}^{2} {)}$

$\\ \\$

$\dashrightarrow \sf \: 192- 8$

$\\ \\$

$\dashrightarrow \sf \: 184$

$\\ \\$

~BrainlyVIP ♡

4 0

2 years ago

Read 2 more answers