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
vaieri [72.5K]
3 years ago
5

In circle Q with

Mathematics
1 answer:
jonny [76]3 years ago
4 0

Answer:

The minor arc PR is 42 degrees

Step-by-step explanation:

The picture of the question in the attached figure

we know that

The inscribed angle is half that of the arc comprising

so

m\angle PSR=\frac{1}{2}(arc\ PR)

we have

m\angle PSR=21^o

substitute

21^o=\frac{1}{2}(arc\ PR)

arc\ PR=21(2)=42^o

Remember that the minor arc in a circle is less than 180 degrees

therefore

The minor arc PR is 42 degrees

You might be interested in
If the second number is subtracted from the sum of the first number and 2 times the third number, the result is 1. The thrid num
weeeeeb [17]

Answer:

<h2>x = 0, y = 5, z = 3</h2>

Step-by-step explanation:

x,\ y,\ z-\text{three numbers}\\\\\left\{\begin{array}{ccc}(x+2z)-y=1&(1)\\z+2x=3&(2)\\x+3y+z=18&(3)\end{array}\right\\\\(2)\\z+2x=3\qquad\text{subtract}\ 2x\ \text{from both sides}\\z=3-2x\qquad(*)\\\\\text{Substitute}\ (*)\ \text{to (1) and (3)}\\\\\left\{\begin{array}{ccc}x+2(3-2x)-y=1&\text{use the distributive property}\\x+3y+(3-2x)=18\end{array}\right

\left\{\begin{array}{ccc}x+(2)(3)+(2)(-2x)-y=1\\x+3y+3-2x=18&\text{subtract 3 from both sides}\end{array}\right\\\left\{\begin{array}{ccc}x+6-4x-y=1&\text{subtract 6 from both sides}\\(x-2x)+3y=15\end{array}\right\\\left\{\begin{array}{ccc}(x-4x)-y=-5\\-x+3y=15\end{array}\right\\\left\{\begin{array}{ccc}-3x-y=-5&\text{multiply both sides by 3}\\-x+3y=15\end{array}\right

\underline{+\left\{\begin{array}{ccc}-9x-3y=-15\\-x+3y=15\end{array}\right}\qquad\text{add all sides of the equations}\\.\qquad-10x=0\qquad\text{divide both sides by (-10)}\\.\qquad\boxed{x=0}\\\\\text{Put it to the second equation:}\\-0+3y=15\\3y=15\qquad\text{divide both sides by 3}\\\boxed{y=5}\\\\\text{Put the value of}\ x\ \text{to}\ (*):\\\\z=3-2(0)\\\boxed{z=3}

7 0
3 years ago
Find the surface area of the following figure.
fgiga [73]

Answer:

\boxed{\textsf{\pink{ Hence the TSA of the cuboid is $\sf 32x^2$}}}.

Step-by-step explanation:

A 3D figure is given to us and we need to find the Total Surface area of the 3D figure . So ,

From the cuboid we can see that there are 5 squares in one row on the front face . And there are two rows. So the number of squares on the front face will be 5*2 = 10 .

We know the area of square as ,

\qquad\boxed{\sf Area_{(square)}= side^2}

Hence the area of 10 squares will be 10x² , where x is the side length of each square. Similarly there are 10 squares at the back . Hence their area will be 10x² .

Also there are in total 12 squares sideways 6 on each sides . So their surface area will be 12x² . Hence the total surface area in terms of side of square will be ,

\sf\implies TSA_{(cuboid)}= 10x^2+10x^2+12x^2\\\\\sf\implies\boxed{\sf TSA_{(cuboid)}= 32x^2}

Now let's find out the TSA in terms of side . So here the lenght of the cuboid is equal to the sum of one of the sides of 5 squares .

\sf\implies 5x = l \\\\\sf\implies x = \dfrac{l}{5} \\\\\qquad\qquad\underline\red{ \sf Similarly \ breadth }\\\\\sf\implies b = 3x  \\\\\sf\implies x = \dfrac{ b}{3}

\rule{200}2

Hence the TSA of cuboid in terms of lenght and breadth is :-

\sf\implies TSA_{(cuboid)}= 10x^2+10x^2+12x^2\\\\\sf\implies TSA_{(cuboid)}= 20\bigg(\dfrac{l}{5}\bigg)^2+12\bigg(\dfrac{b}{3}\bigg) \\\\\sf\implies TSA_{(cuboid)}= 20\times\dfrac{l^2}{25}+12\times \dfrac{b^2}{9}\\\\\sf\implies \boxed{\red{\sf TSA_{(cuboid)}= \dfrac{4}{5}l^2 +\dfrac{4}{3}b^2 }}

6 0
2 years ago
Consider a circle whose size can vary. The circumference of the circle is always 2 π 2π times as large as its radius. Let r r re
Alenkasestr [34]

Answer: C=2\pi r

Step-by-step explanation:

Let be "C" the circumference of the circle (in feet) and "r" the radius of the circle (in feet).

Based on the information provided in the problem, you know that the circumference of the circle is always 2\pi as large as its radius.

Notice that this indicates a multiplication. Then, this means that the circumference of the circle is always equal to 2\pi by "r".

Based on this, you can write the following formula that expresses the circumference "C" in terms of the radius "r":

C=2\pi r

4 0
2 years ago
I really need the answers to these cuz they'll make or break my grade
MrMuchimi

Answer:

whats the question? its a little blurry and hard to see

Step-by-step explanation:

8 0
2 years ago
HELP....
Andru [333]

Answer:

B. 5.00

Step-by-step explanation:

:)

7 0
2 years ago
Other questions:
  • The graph of 2x – 3y = 21 crosses the y-axis at what point?
    7·1 answer
  • The bill at a restaurant came to $136.40.The customer decided to leave a 15% tip.What was the total bill including tip.
    10·1 answer
  • Kens home supply charges
    15·1 answer
  • 13x - 4 &lt; 12x - 1?................................................
    10·1 answer
  • Help meeeeeeeeeeeeeeeeeeeeeeee
    9·1 answer
  • WHAT IS 10 x 12 - 14 DIVIDED BY 2 + 15 (USING PEMDAS , GEMDAS)
    11·2 answers
  • Can anybody help me please
    13·1 answer
  • If sin∠X = cos∠Y and m∠X = 72°, what is the measure of ∠Y?
    10·2 answers
  • A trapezoid may have three congruent sides<br> True or false
    12·2 answers
  • 25. How many blocks were needed to make the<br> rectangular prism below?
    15·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!