Let as consider the complete ques is : Ray QS bisects ∠PQR. Solve for x and find m∠PQR. m∠PQS = 3x ; m∠SQR = 5x-20.
Given:
Ray QS bisects ∠PQR.
m∠PQS = 3x
m∠SQR = 5x-20
To find:
The value of x and m∠PQR
Solution:
Ray QS bisects ∠PQR. So,
[tex]m\angle PQS=m\angle SQR[/tex]
[tex]3x=5x-20[/tex]
[tex]3x-5x=-20[/tex]
[tex]-2x=-20[/tex]
[tex]x=10[/tex]
The value of x is 10.
Now,
[tex]m\angle PQR=m\angle PQS+m\angle SQR[/tex]
[tex]m\angle PQR=3x+5x-20[/tex]
[tex]m\angle PQR=8x-20[/tex]
Put x=10,
[tex]m\angle PQR=8(10)-20[/tex]
[tex]m\angle PQR=80-20[/tex]
[tex]m\angle PQR=60[/tex]
Therefore, the m∠PQR is 60 degrees.
A triangle is placed in a semicircle with a radius of 5 yd, as shown below. Find the area of the shaded region.
Use the value 3.14 forn, and do not round your answer. Be sure to include the correct unit in your answer.
is yd please help
Answer:
14.25 yd^2
Step-by-step explanation:
The triangle area is given by the formula ...
A = 1/2bh
Here, the base is 10 yd, and the height is 5 yd, so ...
triangle area = (1/2)(10 yd)(5 yd) = (5 yd)^2 = 25 yd^2
__
The semicircle is half the area of a circle with radius 5 yd, so its area is ...
semicircle area = (1/2)π(5 yd)^2 = 12.5π yd^2 ≈ 39.25 yd^2
__
The shaded region is the difference between these areas:
shaded area = 39.25 yd^2 -25 yd^2 = 14.25 yd^2
How fast will the train cover 290 miles if its speed is s miles per hour?
Answer:
290/s
Step-by-step explanation:
Basically, the question is asking you to find:
290/s miles per hour
The only problem is translating words to math.
Hope this helps!
Determine the 18th term of the sequence 3,9,27,...
Answer:
[tex]x_{18}=387420489[/tex]
Step-by-step explanation:
So we have the sequence:
3, 9, 27...
First, note that this is a geometric sequence because each subsequent term not increasing linearly.
To find the 18th term, we can write an explicit formula.
The standard explicit formula for a geometric sequence is:
[tex]x_n=a(r)^{n-1}[/tex]
Where a is the initial term, r is the common ratio, and n is the nth term.
From the sequence, we can see that the initial term a is 3. The common ratio is 3 since each subsequent term is 3 times the previous term. So, substitute:
[tex]x_n=3(3)^{n-1}[/tex]
To find the 18th term, substitute 18 for n. So:
[tex]x_{18}=3(3)^{18-1}[/tex]
Subtract:
[tex]x_{18}=3(3)^{17}[/tex]
Evaluate:
[tex]x_{18}=3(129140163)[/tex]
Multiply:
[tex]x_{18}=387420489[/tex]
And we're done!
Solve equation t+26=25
Answer:
t+26=25
t= 26-25 = 1
Step-by-step explanation:
pls help me pls pls
x= -4
mark this as brainliest!!!
follow me!
Step-by-step explanation:
solution,or, 5x-3(x-2)=3x-2(x-1) or,5x-3x+6 =3x-2x+2 or,2x+6=x+2 or, 2x-x=6+2 ( therefore, x=-4)
Is 8.168 a rational number?
Answer:
yes
Step-by-step explanation:
Yolanda is planning to put a pool in her backyard. The scaled model below gives the reduced measures for diameter and depth. 18 cm 4 cm Not drawn to scale The yard space is large enough to have a pool that has a diameter of 27 feet. If Yolanda wants to keep the pool in proportion to the model, what will be the depth of the pool? O 4.5 feet O 5 feet 06 feet 0 6.75 feet Wema
Answer:
B
Step-by-step explanation:
Help Me Please!! The Chilly Fizz Root Beer can was 15.2 cm high. The new can is 0.5 cm shorter. The new can has a diameter of 5.4 cm. What is the volume of the new can? Use 3.14 for the value of π.
First find the height of the cylinder:
15.2 -0.5 = 14.7
The formula for a circle is : V= [tex]\pi r^{2}[/tex] h
V= [tex]\pi (5.4)^{2} (14.7)[/tex] (substitute pi for 3.14)
V= (3.14) (5.4)² (14.7) simplfy
V= 1345.96728
Your friend says that in the number 45,951, one 5 is 10 times as great as the other 5. Is your friend correct? Expain.
Answer:
No.
Step-by-step explanation:
The friend is not correct because in this case one five is 100 times greater than the other, not 10.
Solve the equation by the square root property. (x - 5)2 = 9 What is the solution set? (Use a comma to separate answers as needed.) D
Answer:
See answer below.
All you have to do is input the equation into the square root formula.
Step-by-step explanation:
Answer:
x =
2 , 8
Step-by-step explanation:
(x-5)² = (x-5)(x-5) = x*x + x*-5 - 5*x - 5*-5 = x² - 5x - 5x + 25
= x² - 10x + 25
x² - 10x + 25 = 9
x² - 10x + 25 - 9 = 0
x² - 10x + 16 = 0
x = {-(-10)±√((-10)²-(4*1*16))} / (2*1)
x = {10±√(100-64)} / 2
x = {10±√36} / 2
x = {10±6} / 2
x₁ = {10-6} / 2 = 4/2 = 2
x₂ = {10+6} / 2 = 16/2 = 8
Check:
x₁
(2-5)² = 9
-3² = 9
x₂
(8-5)² = 9
3² = 9
regi received a 3.5 raise which raised his yearly income by $910. what is his new income?
Answer:
His new income is $26,910.
Step-by-step explanation:
As Regi has received an increase in his annual salary that has represented $ 910 in his payment, to determine his new salary the following calculation must be performed:
910 / 3.5 = 1% salary
260 = 1% salary
260 x 100 = previous salary
26,000 = previous salary
26,000 + 910 = current salary
26,910 = current salary
Therefore, his new income is $26,910.
What is -2/3 plus 1/5?
Answer:
-7/15
Step-by-step explanation:
Find GCF of both denominators
GCF: 15
Multiply 5 to -2 in -2/3 and 3 to 1 in 1/5
This gives you -10/15 + 3/15
Solve
-7/15
Find the domain of the graph
Answer:
The domain should be on the x-axis.
I might be wrong.
Joe has saved $50. He wants to
buy 3 graphic novels that cost $13 each.
Can Joe afford the graphic novels?
Answer:
Yes, Joe can afford the graphic novels.
Explanation:
Joe has $50Each graphic novel costs $13Joe wants 3 graphic novels[ Multiply ]
13 · 3 = 39
Joe will be spending at total of $39 if he buys 3 graphic novels. He will have a total of $11 left over. Joe can afford the graphic novels.
True or false please help ASAP
Answer:
true :)
Step-by-step explanation:
Answer:
true
Step-by-step explanation:
7р + 8р - 12 = 59 what would this be
Answer:
4.7333....................
Step-by-step explanation:
First combine like-terms. The equation now is 15p-12=59. Next add 12 to both sides. The equation now is 15p=71. Last divide both sides by 15. Now the equation is 4.73333....
Simplify (4.5)(5)(−2).
45
4.5
−4.5
−45
Answer:
-45
Step-by-step explanation:
(4.5)(5)(-2)=-45
therefore the answer would be the fourth option which is -45
Answer:-45
Step-by-step explanation:(4.5)(5)(-2)=-45
therefore the answer would be the fourth option which is -45
*
(1 Punto)
(7.006 x 1041) x (5.09 x 1022)
OA 3.566 x 1041
OB 3.566 x 1062
ОС
3.566 x 1063
D
3.566 x 1064
This question was not written properly
Complete Question
(7.006 x 10⁴¹) x (5.09 x 10²²)
OA) 3.566 x 10⁴¹
OB) 3.566 x 10⁶²
ОС) 3.566 x 10⁶³
OD)3.566 x 10⁶⁴
Answer:
D. 3.566 × 10⁶⁴
Step-by-step explanation:
We are asked to solve:
(7.006 x 10⁴¹) x (5.09 x 10²²)
When we multiply this together
= (7.006 × 5.09 ) × 10(⁴¹+²²)
= (7.006 × 5.09 ) × 10⁶³
= 35.66054 × 10⁶³
= 3.566054 ×10⁶⁴
Approximately = 3.566 × 10⁶⁴
A carpenter makes wooden chairs.
He has enough wood to make 30 chairs.
He makes $60 profit on a dining chair and $90 profit on a rocking chair.
It takes him 1 hour to make a dining chair and 2 hours to make a rocking chair.
He only has 40 hours available to work on the chairs.
The carpenter wants to maximize his profit given the constraints. He draws the graph below to represent this situation.
Answer:
Is there supposed to be a graph somewhere?
(-8p^3+9p^2q)+(8p^3-pow+5q^2)
Answer:
-1opw+9p^2q+5q^2
Step-by-step explanation:
I really need help . 12 points
Answer:
it the 2nd or last one but i think its the 2nd one
Answer:
it is last no. cause no negative or decimal are counted as order pair
Step-by-step explanation:
I guess I was help full for u
plz follow me for more updates
solve each inequality -3x<12
Answer:
-3x<12
/-3 /-3
x<-4
Step-by-step explanation:
Which expression can be used to solve
3/5•|• 7/10
Answer: D
Step-by-step explanation: if you write it out it will be the exact same thing as D so it will be d
Find the two square roots of 9/4?
Answer: 0.75
Step-by-step explanation:
The two square roots of 9/4 is [tex]3/2[/tex].
It is required to find the two square roots of 9/4.
What is square root?A factor of a number that, when multiplied by itself, gives the original number. The square root of any number can be expressed using the formula: √y = y½.
Solution:
Using the principal square root:
[tex]\sqrt{9/4} \\\\=3/2[/tex] and [tex]3/2[/tex].
Hence, the two square roots of 9/4 is [tex]3/2[/tex].
Learn more about square roots here:
https://brainly.com/question/17835631
#SPJ2
Please help me out on this
How to simplify 27/63
Answer:
3/7
Step-by-step explanation:
We do this by first finding the greatest common factor of 27 and 63, which is 9.
Then, we divide both 27 and 63 by the greatest common factor to get the following simplified fraction: 3/7
hope this helps plz mark brainilest
Answer:
0.42857142857
Step-by-step explanation:
7-(-1)
Simplify the expression
Help me pleaseee
The bottom number is a 4 btw it’s 20 points ❤️
Answer: It is 20 m, multiply each number by 1.25
what is 4(1/2+3/4)+(-2)
Answer:
3
Step-by-step explanation:
4(1/2+3/4)+(-2)
4 x 5/4 - 2
5 - 2
3
i hope this helps :)
Answer:
your answer is 3
Step-by-step explanation:
Houston, Texas get an annual rainfall of 5.2 times more than El Paso, Texas. Houston has an average rainfall of 46 inches, about how much rain does El Paso get?
Answer:
8.85 inches
Step-by-step explanation:
Divide Houston's average by 5.2 to find El Paso's:
46/5.2
= 8.85 inches
So, El Paso gets about 8.85 inches of rain
Answer:
8.846
Step-by-step explanation: