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
Over [174]
3 years ago
5

#11 and #13 geometry help please help need work shown as well !!

Mathematics
1 answer:
Trava [24]3 years ago
4 0

Answer: In diagram (11) X = 30 degrees and Y = 60 degrees

In diagram (13) X = 20.55 degrees and Y = 69.45 degrees

Step-by-step explanation: What we have are two right angled triangles with two sides given in each case, therefore we can calculate the two unknown angles (since the third angle equals 90 degrees).

For the second triangle (number 13) we shall use Y as the reference angle. That means we have an opposite (the side facing the reference angle) which is 24 and we have an adjacent (the side that lies between the right angle and the reference angle) which is 9. Hence,

Tan Y = opposite/adjacent

Tan Y = 24/9

Tan Y = 2.6667

Checking with your calculator or table of values, 2.6667 = 69.45

Having two angles, which are 90 and 69.45, the third angle X can be computed as

X = 180 - (90 + 69.45)

Sum of angles in a triangle equals 180

X = 180 - 159.45

X = 20.55 and Y = 69.45

For the first triangle (number 11) we shall use X as the reference angle. We have two sides, the opposite (the side facing the reference angle) which is 3, and the hypotenuse (side facing the right angle) which is 6. Hence,

Sin X = opposite/hypotenuse

Sin X = 3/6

Sin X = 0.5000

Checking with your calculator or table of values,

X = 30 degrees.

Also, now that we have two angles we can easily compute the third angle as follows

Y = 180 - (90 + 30)

Sum of angles in a triangle equals 180

Y = 180 - 120

Y = 60

X = 30 and Y = 60

You might be interested in
Investors buy a studio apartment for $140,000. Of this amount, they have a down payment of
Soloha48 [4]

Answer:

Everyone Call this number *spam call like a prank call* 786 280 5450

6 0
2 years ago
The cereal box shown below is a rectangular prism. Find the surface area of the cereal box.
aksik [14]

Answer:

Surface area is found:

Surface Area = 1700 cm²

Step-by-step explanation:

(The cereal box is shown in the ATTACHMENT)

The surface area of a rectangular prism can be found by added the areas of all 6 sides of the rectangular prism.

L = length = 20 cm

H = height = 30 cm

W = Width = 5 cm

<h3 /><h3>Side 1:</h3>

A(1) = L×H

A(1) = 20×30

A(1) = 600 cm²

<h3>Side 2:</h3>

As the measurements of the side at the back of side 1 has the same measurement of side 1. then:

A(2) = 600 cm²

<h3>Side 3:</h3>

A(3) = L×W

A(3) = 20×5

A(3) = 100 cm²

<h3>Side 4:</h3>

As the measurements of the side at the back of side 4 has the same measurement of side 4. then:

A(4) = 100 cm²

<h3>Side 5:</h3>

A(5) = H×W

A(5) = 30×5

A(5) = 150 cm²

<h3>Side 6:</h3>

As the measurements of the side at the back of side 5 has the same measurement of side 5. then:

A(6) = 150 cm²

<h3>Surface Area:</h3>

Adding areas of all the sides

A(1) + A(2) + A(3) +A(4) + A(5) + A(6) = 600 + 600 + 100 +100 + 150 +150

Surface Area = 1700 cm²

8 0
4 years ago
Read 2 more answers
Which of these texts is considered a reference material?
Sedbober [7]

Answer:

A collection of short stories.

Step-by-step explanation:

A classic novel is almost always fiction, which is not suitable for referencing. A commercial website publicly advertises its products or services. Again, not professionally referenceable. This leaves us with a collection of short stories. This option is correct because the stories come from realistic and personal accounts.

4 0
2 years ago
Tomer owns a daycare center called Kidz Kare. One afternoon he collected the age of each person in Kidz Kare. The following hist
otez555 [7]

Answer:

3/10

Step-by-step explanation:

7 0
3 years ago
Prachi was 555 kilometers east of her home when she began driving farther east at 707070 kilometers per hour. Let f(n)f(n)f, (,
Valentin [98]

Answer:

The answer is "\bold{f(n) = 70n + 5}"

Step-by-step explanation:

The complete question is defined in the attached file Please find it.  

She started driving further east, 70 kilometers an hour, 5 km east of her home. Allow f(n) at the outset of its nth hour drive to just be Prachi's length from home.

F is a series of arithmetic.

Construct the series with an explicit formula.

\bold{f(n) = 70n + 5}

5 0
3 years ago
Other questions:
  • A scientist measured the water pressure at different depths. She made a table showing her findings. The x-values represent the d
    8·2 answers
  • What kind of number is a negative number?
    9·1 answer
  • How do you find rate
    6·1 answer
  • A giraffe can run 12 meters per second. Rounded to the nearest tenth, how fast is this in miles per hour? (1 mile= 1609 meters)
    11·1 answer
  • Find the domain of the following relation. <br> R={(19,96),(20,101),(21,106),(22,111)}
    12·2 answers
  • Pls help im like 5 hrs behind in math
    6·1 answer
  • Education researchers are interested in the workload expectations of freshmen at a local university. Since all of the freshmen a
    10·1 answer
  • PLS HELP ME ASAP I DONT HAVE TIME IT ALSO DETECTS IF ITS RIGHT OR WRONG
    7·1 answer
  • Find the value of X to the nearest tenth
    12·1 answer
  • Find the weighted average of the numbers -1 and 1, with weight 2/3 on the first number and 1/3 on the second number.
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!