All categories

3 years ago

Help please I have to do all

Mathematics

1 answer:

Alex787 [66]3 years ago

6 0

Question # 1 (Top Left)

Step-by-step Explanation:

To determine:

We have to determine the missing side x.

Given:

Given angle = 29°
Right angle = 90°

The missing side x can be calculated by the formula:

sinФ = opposite ÷ hypotenuse

sin(29°) = x ÷ 3

0.4848 = x ÷ 3

x ÷ 3 = 0.4848

x = 0.4848 × 3

x = 1.45 cm

Hence, x = 1.45 cm is the length of missing side.

 Question # 2 (Top Center)

Step-by-step Explanation:

To determine:

We have to determine the missing side x.

Given:

Given angle = 21°
Right angle = 90°

The missing side x can be calculated by the formula:

tanФ = opposite ÷ adjacent

tan(21°) = x ÷ 4

0.3838 = x ÷ 4

x ÷ 4 = 0.3838

x = 0.3838 × 3

x = 1.15 cm

Hence, x = 1.15 cm is the length of missing side.

 Question # 3 (Top Right)

Step-by-step Explanation:

To determine:

We have to determine the missing side x.

Given:

Given angle = 66°
Right angle = 90°

The missing side x can be calculated by the formula:

cosФ = adjacent ÷ hypotenuse

cos(66°) = x ÷ 8

0.4067 = x ÷ 8

x ÷ 8 = 0.4067

x = 0.4067 × 8

x = 3.25 cm

Hence, x = 3.25 cm is the length of missing side.

 Question # 4 (Bottom Right)

Step-by-step Explanation:

To determine:

We have to determine the missing side x.

Given:

Given angle = 29°
Right angle = 90°

The missing side x can be calculated by the formula:

cosФ = adjacent ÷ hypotenuse

cos(29°) = 3.7 ÷ x

0.8746 = 3.7 ÷ x

x = 3.7 ÷ 0.8746

x = 4.23 cm

Hence, x = 4.23 cm is the length of missing side.

Question # 5 (Bottom Center)

Step-by-step Explanation:

To determine:

We have to determine the missing side x.

Given:

Given angle = 37°
Right angle = 90°

The missing side x can be calculated by the formula:

sinФ = opposite ÷ hypotenuse

sin(37°) = 5.1 ÷ x

0.6018 = 5.1 ÷ x

x = 5.1 ÷ 0.6018

x = 8.47 cm

Hence, x = 8.47 cm is the length of missing side.

 Question # 6 (Bottom Right)

Step-by-step Explanation:

To determine:

We have to determine the missing side x.

Given:

Given angle = 54°
Right angle = 90°

The missing side x can be calculated by the formula:

tanФ = opposite ÷ adjacent

tan(54°) = x ÷ 5.9

1.3763 = x ÷ 5.9

x ÷ 5.9 = 1.3763

x = 1.3763 × 5.9

x = 8.12 cm

Hence, x = 8.12 cm is the length of missing side.

Keywords: missing angle, tanФ, cosФ, sinФ, hypotenuse

Learn more missing angles from brainly.com/question/11610011

#learnwithBrainly

You might be interested in

a cell phone company charges a monthly fee plus a 0.35 for text messages sent they charge 25.00 monthly fee and your bill is 58.

riadik2000 [5.3K]

Hey,

So first we are told that they charg a fixed fee of 25:00 right?That means even if you didn’t send any text messages you still have to pay 25:00.

So first we have to subtract that 25:00 form 58.25 right?This means the rest of the bill is for text messages OK?
So he spent 33.25(this is the answer to the subtraction) on the text messages right?
And for every text he sent he was charged 0.35 right? So we have to divide 33.25 by 0.35 right?
And that gets us 95.

Now we can double check the answer by multiplieng 95 by 0.35 and adding 25.

So th answer is 95

Hope this helps !!

6 0

3 years ago

A system of two equal equations is shown below

Crank

Answer:

x=1.9

y=2.3

Step-by-step explanation:

I hope this helped.

6 0

3 years ago

Write 7/20 as a terminating decimal

svetlana [45]

Answer:

0.35

Step-by-step explanation:

7 0

4 years ago

Read 2 more answers

17 * 89 / 78 = ???????????????????????

Lynna [10]

Answer 1513/78 or 19 31/78

Multiply both numerators and denominators. Result fraction keep to lowest possible denominator GCD (1513, 78) = 1. In the next intermediate step the fraction result cannot be further simplified by cancelling.

In words - seventeen multiplied by eighty-nine seventy-eighths = one thousand five hundred thirteen seventy-eighths.

5 0

3 years ago

Read 2 more answers

a small jet can fly 1,435 miles in 5 hours with a tailwind but only 1,215 miles in 5 hours into a headwind. find the speed of th

Ne4ueva [31]

Answer:

Speed of Jet in Still Air = 265 miles per hour

Speed of Wind = 22 miles per hour

Step-by-step explanation:

Let x be speed of jet

and c be speed of wind

We know D = RT, where

D is distance

R is rate

T is time

For first leg:

1435 miles in 5 hours, the rate is:

Rate = 287 mph

For second leg:

1215 miles in 5 hours, the rate is:

Rate = 243 mph

So 287 is with wind and 243 against wind, thus we can write:

x + c = 287

x - c = 243

Adding gives us:

2x = 530

x = 265 miles per hour [still rate]

Speed of wind:

x + c = 287

265 + c = 287

c = 22 miles per hour [speed of wind]

4 0

3 years ago