1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Ira Lisetskai [31]
3 years ago
9

PLEASE HELP!!!!!!!Find the length of the missing sides. Round your answers to the nearest tenth. (Hint: Always make sure to labe

l your triangle first with your reference angle)

Mathematics
1 answer:
Reptile [31]3 years ago
7 0

Answer:

(9.37, 17.7) ; (14.10, 19.42); (20.8, 22.3)

Step-by-step explanation:

For the first picture :

The missing angle :

180 - (32 + 90)

180 - (122) = 58°

To obtain the length of side x:

From ptthagoras:

Tan58° = opposite / Adjacent

1.6003345 = 15 / x

x = 15 / 1.6003345

= 9.37

y = sqrt(15^2 + 9.37^2)

y = sqrt(312.7969)

y = 17.7m

2)

Missing angle :

From ptthagoras :

Sin54° = opposite / hypotenus

0.8090169 = y/ 24

y = 0.8090169 * 24

y = 19.42

x = sqrt(24^2 - 19.42^2)

x = sqrt(198.8636)

x = 14.10

3)

Sin21° = opposite / hypotenus

0.3583679 = 8 /y

y = 8 / 0.3583679

y = 22.3

x = sqrt(22.3^2 - 8^2)

x = sqrt(433.29)

x = 20.8

You might be interested in
A store sells 8 cans of soup for ​$22. How much would it cost you to buy 9 cans of soup​?It would cost ​$nothing.
puteri [66]
$24.75

this is because 22 ÷ 8 × 9 is equal to 24.75
this is the correct answer
6 0
3 years ago
Write an equation of the line in slope -intercept form ( due today!)
Sati [7]

Answer: The answer would be y=1/3x-3

4 0
3 years ago
I really need help with this question
DerKrebs [107]
I think its B ......
6 0
3 years ago
Justin built a display stand out of two rectangular prisms. The smaller rectangular prism is 2 inches tall, 4 inches wide, and 6
Lady bird [3.3K]

Answer:

428 square inches

Step-by-step explanation:

Hi, to answer this question we have to apply the next formula:

Surface area of a prism: 2wl +2lh+2hw

Where w is the width of the prism; l the length; and h the height.

Replacing with the values given:

S (smaller prism) = 2 (4x6) + 2(6x2)+ 2(2x4)=48+24+16= 88 in2

S (larger prism) = 2 (8x10) +2 (10 x5)+2(5x8)= 160+100+80=340in2

Adding both surface areas:

88+340 =428 in2

Feel free to ask for more if needed or if you did not understand something.  

5 0
3 years ago
The International Coffee Association has reported the mean daily coffee consumption for U.S. residents as 1.65 cups. Assume that
Harman [31]

Answer:

The calculated value  t = 1.3788 < 2.0262 at 0.05 level of significance

the null hypothesis is accepted

There  is no significant difference between  their counterparts across the nation

Step-by-step explanation:

<u><em>Step(i):-</em></u>

Given that the mean of the U.S residents  = 1.65

Given that the size of the sample 'n' = 38

Mean of the sample = 1.84

Given that the standard deviation of the sample (S) = 0.85

<u><em>Step(ii):-</em></u>

<u><em>Null hypothesis:</em></u>H₀:

There  is no significant difference between  their counterparts across the nation

<u><em>Alternative Hypothesis:-</em></u>H₁:

There  is  a significant difference between  their counterparts across the nation

Test statistic

                t = \frac{x^{-} -mean}{\frac{S}{\sqrt{n} } }

               t = \frac{1.84-1.65}{\frac{0.85}{\sqrt{38} } }

              t =  1.3788

Degrees of freedom

                ν = n-1  = 38-1 = 37

t₀.₀₅ ,₃₇ =    2.0262

The calculated value  t = 1.3788 < 2.0262 at 0.05 level of significance

Null hypothesis is accepted

<u><em>Final answer:-</em></u>

There  is no significant difference between  their counterparts across the nation.

5 0
2 years ago
Other questions:
  • John made a lump sum deposit of $ 6,300 in an account that pays 6.5% per year. Find
    9·1 answer
  • Write an equation for the line in the graph that passes through the points (0,4) and (12,16).
    12·1 answer
  • Sophia uses 18 beads to make a necklace. Three sixths of the beads are purple. How many beads are purple?
    5·1 answer
  • Is 4.87787778 a rational number
    10·1 answer
  • Order the numbers from least to greatest -20 3/4 -14 3/4 -1/4 and -15 1/2​
    15·1 answer
  • What is the fraction to this picture?
    15·1 answer
  • Outcome A B C D Probability 0.5 0.3 ? ? What is the probability of the outcome (not A)? a. 0.3 c. 0.8 b. 0.5 d. 0.15
    11·1 answer
  • Logan owed his brother $7.50. For his birthday, Logan received $20 from his grandpa. After paying his brother back, how much mon
    8·2 answers
  • Write the Roman numeral CLXXIX in standard form.​
    7·2 answers
  • When constructing a confidence interval for a difference between two population proportions, why is it important to check that t
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!