Answer:
60°
Step-by-step explanation:
Given:
QP and QR are tangent segments
∠PCR = 120°
Find:
∠PQR
Tangent lines always intersect a circle at one point. This means that the line from the center of the circle to the point of intersection would be the radius. This also means that the tangent line is perpendicular to the radius of the circle.
Therefore...
∠CPQ=90°
∠CRQ=90°
Using the diagram, we can conclude that Figure CPQR is a quadrilateral. We need to find the sum of the interior angles of the Figure CPQR.
The formula to find the sum of the interior angles of a figure is...
[tex](n-2)\times180[/tex]
Note that n represents the amount of sides the figure has.
In this case Figure CPQR has 4 sides therefore...
[tex](4-2)\times180=2\times180=360^{\circ}[/tex]
Now let's set up an equation to find ∠PQR...
∠PCR + ∠CPQ + ∠CRQ + ∠PQR = 360°
Substitute the measures of the known angles into the equation:
120° + 90° + 90° + ∠PQR = 360°
120° + 180° + ∠PQR = 360°
300° + ∠PQR = 360°
Subtract 300° from both sides
∠PQR = 60°
C= 5/9 (F−32)
The equation above shows how temperature F, measured in degrees Fahrenheit, relates to a temperature C, measured in degrees Celsius. Based on the equation, which of the following must be true?
|. A temperature increase of 1 degree Fahrenheit is equivalent to a temperature increase of 5/9 degree Celsius.
||. A temperature increase of 1 degree Celsius is equivalent to a temperature increase of 1.8 degrees Fahrenheit.
|||. A temperature increase of 5/9 degree Fahrenheit is equivalent to a temperature increase of 1 degree Celsius.
A) I only
B) II only
C) III only
D) I and II only
Extra: Please help! I need it for math!!
Answer:
C = 5/9 (F - 32)
This is a temperature scale change comparison.
By this we understand, that ,
1°C = 5/9°F
Which is equal to, 5/9°F = 1°C
These two statements are satisfied by I. and II.
So, the correct answers are, I. and II.
If my answer helped, kindly mark me as the brainliest!
Thank You!!
Change these decimals to fractions. reduce completely 0.25=
Answer:
1/4
Step-by-step explanation:
0.25
25/100
25 ÷ 25 = 1
100 ÷ 25 = 4
1/4
The perimeter of a regular nonagon is 45 m. How long is each side?
Answer:
5 m
Step-by-step explanation:
A nonagon has 9 sides. You get individual side length by dividing the perimeter by amount of sides. 45 divided by 9 is 5.
In Albany it is -4F, in Chicago it is -14F, in Minneapolis it is -11F, and in Toronto it is -13F. In which city is it the coldest?
Answer:
Chicago
Step-by-step explanation:
Compare the temperatures:
-4, -14, -11, -13
Numbers become smaller to the left on the number scale.
For instance, -10 is less than -5.
So, -13, -11, and -4 are all greater than -14.
And the lower the temperature, the colder it is.
Thus, Chicago is the coldest.
Ray's favorite activity is taking a leisurely bike ride through the park after work. If he 326 burns calories every hour, how many hours does he need to ride in order to burn off an extra doughnut and large frozen latte that he ate that afternoon? The doughnut had 320 approximately calories, and the latte had 820 calories.
Answer: 3.5 hours
Step-by-step explanation:
From the question, we are informed that Ray's burns 326 calories every hour. We are further told that he ate a doughnut that had 320 calories, and a latte had 820 calories. The total calories will be:
= 320 + 820
= 1140 calories
The number of hours needed to burn the calories will be the total calories divided by the amount of calories burnt in an hour. This will be:
= 1140/326
= 3.5 hours
explain how a cube root is different from a square root?
Answer:
See below.
Step-by-step explanation:
The only number this is true for is 1 . The square root and cube root of 1 is 1.
For all other perfect square/ perfect cube numbers they are different. For example square root of 64 is 8 and its cube root.
Solve for v.
-4 + v = -9
v =
Answer:
v = -5
Step-by-step explanation:
Add 4 on both sides.
-9 + 4 = -5
v = -5
30 − 9 + 3 − (12 ÷ 4)?
18
20
21
24
Step-by-step explanation:
30-9+3-(12÷4)
30-9+3-3
21
Hope this helps you
have a good day.
Answer:
21
Step-by-step explanation:
Original Equation:
30 - 9 + 3 - (12 ÷ 4)
Divide inside the parentheses:
12 divided by 4 equals 3
Equation:
30 - 9 + 3 - 3
Now, subtract 9 from 30
21
Equation:
21 + 3 - 3
The threes cancel each other out:
Add 3 to 21
24
Equation:
24 - 3
Subtract.
21
The answer is 21
Hope this helped :)
Re-write the equation 6x + 3y = 30 in slope-intercept form y=mx+b.
Slope=2
x−intercept= 2/10 =5
y−intercept= −10/-1 =−10.00000
Answer:
2x+y-10=0
Step-by-step explanation:
6x+3y=30 move the constant to the left and change its sign
6x+3y-30=0
6x+3y-30=0 divide both sides of the equation by 3
Line parallel to y=0.5x+3 that passes through the point (−9,12)
Complete question is;
Write the equation of line in slope-intercept form. Line parallel to y = 0.5x + 3 that passes through the point (−9,12)
Answer:
y - 12 = 0.5(x + 9)
Step-by-step explanation:
We want to find the line parallel to y = 0.5x + 3 that passes through the point (−9,12).
To some this, we will use the equation;
y - y1 = m(x - x1)
Here, x1 = -9, y1 = 12, m = 0.5
Thus;
y - 12 = 0.5(x - (-9))
y - 12 = 0.5(x + 9)
select correct equation rule
Answer:
x/2
Step-by-step explanation:
2/2=1=y
4/2=2=y
6/2=3=y
Which character thought he was back in the Bastille and fretted over his boots?
Answer:
Dr. Maette
Step-by-step explanation:
I'm not sure I've never read this :/
What is the approximate volume of the cone below?
Yep A.
419 cm3
B.
1,257 cm3
C.
2,094 cm3
D.
8,377 cm3
2,094 cm^3
==========================================================
Explanation:
The diameter of 20 cm divides in half to the radius r = 10 cm.
The height is h = 20 cm.
V = volume of the cone
V = (1/3)*pi*r^2*h
V = (1/3)*pi*10^2*20
V = 2,094.3951023932 is approximate
I used my calculator's stored version of pi when computing the volume
That value then rounds to 2,094 cm^3 when rounding to the nearest whole number.
I need help with questions 10,11,12,13.
Thanks!
Answer:
1:2
4:1
1:5
5:7
I can't really give a step by step but just find the distance for the numerator and denominator and simplify
please help have a nice day
Answer:
it is 12
Step-by-step explanation:
Answer:
36
Step-by-step explanation:
Sequence 1: 4, 12, 36, 108
Sequence 2: 20, 28, 36, 44
Hope this helps!
Henry wraps a gift box in the shape of a square pyramid. The figure below shows a net for the gift box.
The amount of wrapping paper needed for the square pyramid gift box is: 96.72 in.².
What is the Surface Area of a Square Pyramid?Surface area of a square pyramid = area of the square base + area of the 4 triangular faces = s² + 4(1/2bh).
We are asked to find the amount of wrapping paper that would be needed to wrap the gift box, which is the surface area of the gift box that has a square pyramid shape.
Given the following dimensions of the gift box:
s = 5.2 in.
b = 5.2 in.
h = 6.7 in.
Plug in the values into s² + 4(1/2bh):
Surface area of a square pyramid = 5.2² + 4(1/2 × 5.2 × 6.7).
Surface area of a square pyramid = 96.72 in.²
Therefore, the amount of wrapping paper needed for the square pyramid gift box is: 96.72 in.².
Learn more about square pyramid on:
https://brainly.com/question/25823102
Solve for x. Round to the nearest tenth of
a degree, if necessary.
с
7
8.1
A
B
3.9
Answer: 28.8
Step-by-step explanation:
Help my little sister shes pass due
3. 3x = 12
An open statement in math means that it utilizes variables, and can only be concluded as being "true" or "false". The problem would result in asking whether or not it is always true or not. In this case, x will be true when you plug in 4, however, it will not be true when you plug in any other number. Therefore, it is a closed statement that can be falsified.
4. Open.
The statement can be true if the variable g is 35, however, it is false if it is not. An open statement concludes that it may or may not be correct, thereby being open.
~
Cindy and her family went out to eat for dinner and had a bill of $65.90 before tax and tip. There is a 7.5% tax and Cindy wants to leave a tip of 18%.
Step 1: What is her tax amount? $
Step 2: What is her bill now with the tax added? $
Step 3: What is the tip amount from Step 2's amount $
Step 4: What is the total bill amount with Step 3's amount? $
Answer: 1. 0.075 (i think) , 2. $70.84, 3. 4.77$ , 4. 71.15$ ( i think this is true i don't know fs.)
Step-by-step explanation:
200% is equal to what fraction?
The product of 5 and a number x is 14. What is the value of x? x=1 9/4 x=1 2/0 x=5/4 x=4 3/4
Answer:
[see below]
Step-by-step explanation:
"The product of 5 and a number x is 14" would be:
[tex]5x=14[/tex]
[tex]5x=14\\\\\frac{5x=14}{5}\\\\ \boxed{x=2 \frac{4}{5}}[/tex] or 2.8
Hope this helps.
A long distance phone call costs $1.75 plus $0.30 for each minute of the coll. Write and solve a
linear equation to find the length of a phone call that cost $7.45.
Answer:
1.75 + 0.3x = 7.45; 19 minutes
Step-by-step explanation:
The cost of the phone call is found by 1.75 + 0.30 multiplied by the number of minutes the calls lasts. The cost of the call is 7.45 so 1.75 + 0.3x = 7.45. Begin by subtracting 1.75 from each side of the equation. That leaves 0.3x = 5.7. Then divide both sides by 0.3. This gives x = 19.
Given 7x + 2 58, which number is not in the solution set
What is the square root of 1,728?
the square root of 1728 is 41.57.
Answer:
41.57 is the answer.
uh i have no clue so plz help
what is the simplest form of 28/91?
Answer:
4/13
Step-by-step explanation:
We can first find the GCD or GCF of 28 and 91. 91 in its simplest form is 13*7. 28 in its simplest form is 2*2*7. The only common factor they have is 7, so 7 is the GCD. We can divide both by 7 to get [tex]\frac{4}{13}[/tex]
A club puts its members into 5 groups for an activity. After 10 students have to leave early ,there are only 15 students left to finish the activity. How many students were in
each group?
Answer:
First, we need to figure out the total amount of students:
+ 10 students(ten students leave)
+ 15 students(15 students left)
10 + 15
= 25 students.
x = will represent the total amount of students in each group, so:-
5 groups per x students.
5x = 25(total students before alteration)
÷5 ÷5
x = 5, there are 5 students in each group.
what is the area of this triangle
Answer:
Give the triangle area so we can solve it for you.
Step-by-step explanation:
½*base*height
Step-by-step explanation:
the triangle is not given so let us take its base=b,and height=h
by using the formula=½*base*height
½*b*h
Find the 64th term 2,−3,−8
[tex]2~~,~~\stackrel{2-5}{-3}~~,~~\stackrel{-3-5}{-8}~~,~~...~\hspace{10em}\stackrel{common~difference}{d = -5} \\\\[-0.35em] ~\dotfill\\\\ n^{th}\textit{ term of an arithmetic sequence} \\\\ a_n=a_1+(n-1)d\qquad \begin{cases} a_n=n^{th}\ term\\ n=\stackrel{\textit{term position}}{64}\\ a_1=\stackrel{\textit{first term}}{2}\\ d=\stackrel{\textit{common difference}}{-5} \end{cases} \\\\\\ a_{64}=2+(64-1)(-5)\implies a_{64}=2+(-315)\implies a_{64}=-313[/tex]
Answer:
-313 is the 64th term
Step-by-step explanation:
you take the second term an minus the first term with the second one {2-(-3)}
{=5} then you take two an minus five
it gives you -3 then you press minus five again it gives you negative eight then you press (equals to)until you reach the term you looking for
EMERGENCY! PLEASE ANSWER ASAP!
Answer:
B - In each round, the number of emails is 3 times the round before.
Step-by-step explanation:
This is because each time down, it is being multiplied by 3 again.
3
3 times 3 = 9
3 times 9 = 27 (can also be 3 times 3 times 3)