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
KatRina [158]
3 years ago
8

What is the area of triangle PQR? Round to the nearest tenth of a square unit.

Mathematics
2 answers:
larisa86 [58]3 years ago
7 0
ANSWER

111.3 square units.

EXPLANATION

The formula for calculating the area of a triangle is.

Area = \frac{1}{2} \times base \times height
Let us the side of the triangle with side 12 units to be the base of the triangle.

Then the height of the triangle can be determined from the diagram using trigonometry.

\sin(68 \degree) = \frac{height}{20 }

height = 20 \sin(68 \degree)

height = 18.54

We now plug in the values in to the formula to obtain,

Area = \frac{1}{2} \times 12 \times 18.54

Area = 111.3 \: square \: units

See graph

joja [24]3 years ago
6 0

111.3 square units according to e2020

You might be interested in
Give the solution set for the inequality<br> 7x &lt; 7(x - 2) in interval notation.
eduard

<u>ANSWER:</u>

The solution set for the inequality 7x < 7(x - 2) is null set \varnothing

<u>SOLUTION:</u>

Given, inequality expression is 7x < 7 × (x – 2)

We have to give the solution set for above inequality expression in the interval notation form.

Now, let us solve the inequality expression for x.

Then, 7x < 7 × (x – 2)

7x < 7 × x – 2 × 7

7x < 7x – 14

7x – (7x – 14) < 0

7x – 7x + 14 < 0

0 + 14 < 0

14 < 0  

Which is false, so there exists no solution for x which can satisfy the given equation.

So, the interval solution for given inequality will be null set

Hence, the solution set is \varnothing

3 0
3 years ago
Which number can each term of the equation be multiplied by to eliminate the decimals before solving?
Sati [7]
Ok...

5.6 = 56/10 = 560/100

1.1 = 11/10 = 110/100

0.12 = 12/100

--------------

\frac { 560 }{ 100 } j-\frac { 12 }{ 100 } =4+\frac { 110 }{ 100 } j\\ \\ \\ 100\times \left( \frac { 560 }{ 100 } j-\frac { 12 }{ 100 }  \right) =\left( 4+\frac { 110 }{ 100 } j \right) \times 100\\ \\ 560j-12=400+110j\\ \\ 560j-110j=400+12\\ \\ 450j=412\\ \\ j=\frac { 412 }{ 450 }

So, the answer is: 100

You could multiply both sides of the equation by 100 to get the value of (j) quickly.
6 0
3 years ago
Read 2 more answers
WILL MARK BRANLIEST 50 POINTS PLEASE HELP ( CORRECT ANSWER )<br><br> Simplify. 30k2 + 6k 5k + k
Vera_Pavlovna [14]
Simplified answer would be 60k^2+k

and you get that answer by combining like terms, Good Luck! 

8 0
3 years ago
Read 2 more answers
Adele is 5 years older than Timothy. In three years, Timothy will be of Adele’s age. What is Adele’s current age?
lyudmila [28]

Answer:

3

Step-by-step explanation:

+2

8 0
3 years ago
Kermit's favorite iced tea is made with 151515 tea bags in every 222 liters of water. Peggy made a 121212-liter batch of iced te
muminat

Answer:

The answer is (Choice C)  It is just right.

Step-by-step explanation:

<u><em>The question is incomplete, so the complete question is below:</em></u>

Kermit's favorite iced tea is made with 15 tea bags in every 2 liters of water. Peggy made a 12-liter batch of iced tea with 90 tea bags. What will Kermit think of Peggy's iced tea? Choose 1 answer: (Choice A)  It is too strong. (Choice B)  It is too weak. (Choice C)  It is just right.

Now, to find which of the choice is correct.

So, we find first the unit rate of Peggy's iced tea bags per liter:

If, Peggy made a 12-liter batch of iced tea with 90 tea bags.

Then, Peggy would made a 1-liter batch of iced tea with = \frac{90}{12} =7.5\ tea\ bags.

Now, to get the unit rate of Kermit's iced tea bags per liter:

If, Kermit made a 2 liter of iced tea with 15 tea bags.

Then, Kermit would made a 2 liter of iced tea with = \frac{15}{2} =7.5\ tea\ bags.

<u><em>Thus, the quantity of tea bags per liter is same of both Kermit and Peggy.</em></u>

<u><em>Hence, Kermit will think of Peggy's iced tea that </em></u><u><em>it is just right</em></u><u><em>.</em></u>

Therefore, the answer is (Choice C)  It is just right.

6 0
3 years ago
Other questions:
  • Need help with this question
    8·2 answers
  • A(n)=3/2(-2)^(n-1). What is the 3rd term in the sequence?
    11·2 answers
  • A number divided by 3 with 19 added equals 36 what is the number
    15·2 answers
  • The National Wildlife Refuge supports __________ wildlife refuges.
    12·2 answers
  • What is the volume of the triangular prism? A) 12 cm3 B) 18 cm3 C) 24 cm3 D) 48 cm3
    6·2 answers
  • What are the vertex and X intercepts of the graph of the function below Y =(x+4)(x-2)
    8·1 answer
  • Given a point P(8,1) on Segment AB with A(-2,3), find the coordinates of B if AP/AB=2/3. The answer should be entered in the for
    10·1 answer
  • What is the point-slope form of a line with slope 3 that contains the point (2,1)​
    5·1 answer
  • Solve for t 6t=30<br><br><br><br> math
    13·2 answers
  • Renaldo earned $45 organizing the science section of the library. If
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!