What is the distance from QR?
Q
6n + 3
s
4n + 11
R
Answer:
The distance of QR is 54 units
Step-by-step explanation:
In the isosceles triangle, The height drawn from the vertex angle to the base bisects the base
In ΔPQR
∵ PQ = PR
∴ Δ PQR is an isosceles triangle
∵ P is the vertex angle
∵ QR is the base
∵ PS ⊥ QR
→ By using the fact above
∴ PS bisects QR
∴ S is the midpoint of QR
→ That means S divided QR into 2 equal parts QS and SR
∵ QS = SR
∵ QS = 6n + 3
∵ SR = 4n + 11
→ Equate them to find n
∴ 6n + 3 = 4n + 11
→ Subtract 4 n from both sides
∵ 6n - 4n + 3 = 4n - 4n + 11
∴ 2n + 3 = 11
→ Subtract 3 from both sides
∵ 2n + 3 - 3 = 11 - 3
∴ 2n = 8
→ Divide both sides by 2
∴ n = 4
→ Find the length of QS by substitute x in its expression by 4
∵ QS = 6(4) + 3 = 24 + 3
∴ QS = 27
∵ QS = SR
∴ SR = 27
∵ QR = QS + SR
∴ QR = 27 + 27
∴ QR = 54 units
∴ The distance of QR is 54 units
Solve the system using substitution. show work.
x=y−6
y=6−3x
Answer:
y=6
x=0
Step-by-step explanation:
X=(y-6)
y=(6-3x)
So For Y
y=6-3(y-6)
y=6-3y+18
add three so it would be 4y=6+18 which then equal 4y=24 then divide 4 then you'll have 6
and for X just plug in whats in (y)
x=(6-3x)-6
So again add 3x to both side to get 4x=6-6 which equal 0 then answer is 4x=0 divide 4 get 0
ray uses 1/4 of a gallon of gasoline to drive a distance of 5 1/2 miles. at this rate, how many miles can he drive on 1 gallon of gas
Answer:
22 miles per gallon
Step-by-step explanation:
5.5 x 4 =
5 x 4 = 20
0.5 x 4 = 2
20 + 2 = 22
22 mi/ga
help help help!!!!!!!
Answer:
the 3 dot AC, BC, BA
Step-by-step explanation:
Answer:
Answer answer answer
Step-by-step explanation:
-5x + (-2) = -2x + 4
Answer:
x=-2
Step-by-step explanation:
-5x-2=-2x+4
+2 +2
__________________-
-5x=-2x+6
+2x +2x
_______________-
-3x=6
÷-3 ÷-3
___________________
x=-2
Hope this helps ∞<3
Answer:
(-2, 0)Step-by-step explanation:
Standard form:
−3x − 6 = 0
Factorization:
−3(x + 2) = 0
Solutions:
x = −6 /3 = −2
x=-2
y=0
Help please thank you
Please help asap- will give brainliest:
See the image attached and choose ONE
✨a Pls help I will park you as brainlist promise ✨✨
Answer:
answer is A
Step-by-step explanation:
8/3 = 2.66666 (about 3) miles an hour
You want to find miles per an hour as the unit rate, so divide the total miles CJ walks by how long it took him
Hope this helps! :))
Casey currently owes $500 to his parents. He plans to pay them $60 per month until it is
paid off. Sally also owes her parents money. She borrowed $600 from them and plans to
pay them back $80 per month. Is there a time when they will both owe their parents the
same amount of money?
Answer:
They will both owe their parents $200 when Casey is paying his 5th month and Sally is paying on her 5th month.
Step-by-step explanation:
If Casey pays 60 dollars after 5 months, he will have payed $300 dollars. He still needs to pay $200.(500-300) If Sally pays 80 dollars after 5 months, she will have payed $400 dollars. She still needs to pay $200. (600-400)
Lisa had 4.25 in her purse she brought some school supplies for $2.75 how much money does lisa have left
Answer:
1.50 $
Step-by-step explanation:
Hope this helps!
Last month, it took 3 gardeners 12 hours to fix up the gardens in the city's main square. This month, the city has a bigger budget and can hire 6 gardeners. Knowing that it took 12 hours to finish the job for 3 gardeners. It took 6 hours for 6 gardeners to fix up the gardens.
Answer:
So what is the question?
Step-by-step explanation:
I NEED HELP ASAP PLEASE
Is the following scenario proportional or not?
Mrs. G. bakes 6 cookies every 10 minutes.
Answer:
It is not proportional.
Step-by-step explanation:
plz quick! 100 pts
A shade of green palnt is to be mixed with 3 parts blue and 2 parts yellow. Ten gallons of green palnt are to be mixed. How many gallons of yellow palnt must be used?
a. 2
b. 4
c. 6 2/3
d. 5
Answer:
Hmm I think D but don't take my word for it just a guess
Step-by-step explanation:
Determine the intercepts of the line. -5x+9y=-18
Answer:
x-intercept = (18/5,0)
y-intercept = (0,-2)
Step-by-step explanation:
I graphed it and found the intercepts
brainliest would be great
when you consider that cows eat grass and the water needed to grow the grass that cows eat it takes 65 gallons
find a number if 0.7 of it is 3.43.
Which expression is equivalent to 4(7c+3)+5?
A. 11c+7+5
B. 28c+7+5
C. 28c+12+5
D. 28c+12+20
Answer:
C
Step-by-step explanation:
28c +12 +5 which is the answer choice C
what is the steps of 3/5÷7/10
Answer:
6/7
Step-by-step explanation:
1) Keep, Change, Flip.
-We keep the first number the same, the ÷ (division) sign is changed into a X (multiplication) sign.
3/5 x 10/7
-The 7/10 is flipped and is now 10/7.
2) Now we multiply the top and bottom numbers.
30/35
3) Simplify.
30/35 = 6/7
- I divided by 5.
4x - 2y = 5 and y = 3x - 1
Answer:
4x_2y=5
4x=5+2y
x=5+2y/5
now, y=3x_1
putting value of x in second question
In this way you can do
Will you please help me with this problem
Answer:
A
Step-by-step explanation:
if you want the step by step, let me know (:
Answer:
a
Step-by-step explanation:
Sheila is taking medicine to help fight an infection. The function f(x) = 12(0. 82)^x models the amount of a 12-mg dose of antibiotic left in her bloodstream after x hours.
About how many mg are left in her bloodstream after 2 hours?
Given:
[tex]f(x)=12(0.82)^x[/tex]
where, f(x) is the amount of a 12-mg dose of antibiotic left in her bloodstream after x hours.
To find:
The remaining mg in her bloodstream after 2 hours.
Solution:
The amount of a 12-mg dose of antibiotic left in her bloodstream after x hours is represented by the function
[tex]f(x)=12(0.82)^x[/tex]
Putting x=2, we get the remaining mg in her bloodstream after 2 hours.
[tex]f(2)=12(0.82)^2[/tex]
[tex]f(2)=12(0.6724)[/tex]
[tex]f(2)=8.0688[/tex]
Therefore, the remaining mg in her bloodstream after 2 hours is 8.0688 mg.
Answer:
8.07
Step-by-step explanation:
...
Guys what is 8÷96 please
anwser I need to finish my homework toda.
Answer:
twelv
Step-by-step explanation:
12
Answer:
12
Step-by-step explanation:
Step 1:
Start by setting it up with the divisor 8 on the left side and the dividend 96 on the right side like this:
8 ⟌ 9 6
Step 2:
The divisor (8) goes into the first digit of the dividend (9), 1 time(s). Therefore, put 1 on top:
1
8 ⟌ 9 6
Step 3:
Multiply the divisor by the result in the previous step (8 x 1 = 8) and write that answer below the dividend.
1
8 ⟌ 9 6
8
Step 4:
Subtract the result in the previous step from the first digit of the dividend (9 - 8 = 1) and write the answer below.
1
8 ⟌ 9 6
- 8
1
Step 5:
Move down the 2nd digit of the dividend (6) like this:
1
8 ⟌ 9 6
- 8
1 6
Step 6:
The divisor (8) goes into the bottom number (16), 2 time(s). Therefore, put 2 on top:
1 2
8 ⟌ 9 6
- 8
1 6
Step 7:
Multiply the divisor by the result in the previousy step (8 x 2 = 16) and write that answer at the bottom:
1 2
8 ⟌ 9 6
- 8
1 6
1 6
Step 8:
Subtract the result in the previous step from the number written above it. (16 - 16 = 0) and write the answer at the bottom.
1 2
8 ⟌ 9 6
- 8
1 6
- 1 6
0
You are done, because there are no more digits to move down from the dividend.
The answer is the top number and the remainder is the bottom number.
Therefore, the answer to 96 divided by 8 calculated using Long Division is:
12
0 Remainder
300% of 25$ i need a real answer
Answer:
75
Step-by-step explanation:
300% of 25 = [tex]\frac{300}{100}*25[/tex]
= 3 * 25
= 75
Pls help me!!!!!!!!!!!!!!!
Answer:
The answer is B. and C.
Answer:
i think it will be c
Step-by-step explanation:
Evaluate 1/3x + 5 when x= -6
Answer:
7
Step-by-step explanation:
1/3 of 6=2
2+5=7
Find the area of the shaded region. Use 3.14 to represent pi. Hint: You need to find height of triangle.
Question 1 options:
329.04 inches squared
164.52 inches squared
221.04 inches squared
272.52 inches squared
Answer: 221.04 inches squared
Step-by-step explanation:
Use properties to evaluate 3/4 (1/5÷ 3/5)(-8)
A: -5
B-2
C:2
D:5
Answer:
the answer is b. -2. :)
Step-by-step explanation:
i took the test, i hope this helps <3
Can you help meh pls:)
Answer:
The answer is Charlie.
Step-by-step explanation:
Find the volume for 3 different spheres by randomly choosing different radii.
Using the same radii values, find the volume of 3 cylinders where the height of the cylinder is the same as the diameter of the sphere.
(who ever does it I will give brainliest and answer 3 of there questions)
Answer:
Hii!!
Volume Of Sphere =[tex] \frac{4}{3} * π * r^3. [/tex]
Let r be 1cm, 3 cm, 6 cm.
So,
Volume of sphere 1 = [tex] \frac{4}{3} * 3.14 * 1^3. [/tex]
Volume of sphere 1 = 4.19 cm^3
Volume of sphere 2 = [tex] \frac{4}{3} * 3.14 * 3^3. [/tex]
Volume of sphere 2 = 113.04cm^3
Volume of sphere 3 = [tex] \frac{4}{3} * 3.14 * 6^3. [/tex]
Volume of sphere 3 = 904.32 cm^3
Volume of cylinders = [tex] π * r^2 * h. [/tex]
Let r be 1cm, 3 cm, 6 cm and h be 2cm, 6cm and 12cm respectively.
So,
Volume of cylinder 1 = [tex] π * 1^2 * 2. [/tex]
Volume of cylinder 1 = 6.28 cm^3
Volume of cylinder 1 = [tex] π * 3^2 * 6. [/tex]
Volume of cylinder 1 = 169.56 cm^3
Volume of cylinder 1 = [tex] π * 6^2 * 12. [/tex]
Volume of cylinder 1 = 1356.48 cm^3
HOPE IT HELPS!!!
BRAINLIEST PLS!!!!
We can write the volume of spheres with three different radii as given below
[tex]\rm Let\; R_1 , R_2, R_3 \; be \; the \; three\; radii\; of \; sphere \; respectively \\\\\rm Volume \; of \; first \; sphere = (4/3) \pi \ R_1^3 \\\\\rm Volume \; of \; second \; sphere = (4/3) \pi \ R_2^3 \\\\Volume \; of \; third \; sphere = (4/3) \pi \ R_3^3[/tex]
Also we can write the the volume of the cylinders as follows
[tex]\rm Volume \; of \; first \; cylinder = \pi R_1 ^2H_1 = \pi R_1^2 (2R_1) = 2 \pi R_1^3[/tex]
[tex]\rm Volume \; of \; second\; cylinder = \pi R_2^2H_2 = \pi R_2^2 (2R_2) = 2 \pi R_2^3[/tex]
[tex]\rm Volume \; of \; third \; cylinder = \pi R_3 ^2H_3 = \pi R_3^2 (2R_3) = 2 \pi R_3^3[/tex]
Volume of a sphere with radius R is given by equation
[tex]\rm Volume \; of \; the \; sphere \; of\; radius\; R = \bold{4/3 \pi R^3 }[/tex]
[tex]\rm Let\; R_1 , R_2, R_3 \; be \; the \; three\; radii\; of \; sphere \; respectively \\\\\rm Volume \; of \; first \; sphere = (4/3) \pi \ R_1^3 ........(1) \\\\\rm Volume \; of \; second \; sphere = (4/3) \pi \ R_2^3 .........(2) \\\\Volume \; of \; third \; sphere = (4/3) \pi \ R_3^3..........(3)[/tex]
Equation (1) (2) and (3) represent the volumes of three different spheres
Given that the heights of the cylinders are equal to the diameter of the spheres
so from this given condition we can write the following relations
[tex]\rm Height\; of \; first \; sphere = H_1 = 2R_1 \\\\ Height\; of \; second \; sphere = H_2 = 2R_2 \\\\Height\; of \; third \; sphere = H_3 = 2R_3 \\\\[/tex]
The volume of the cylinder is given by equation (4)
[tex]\rm Volume \; of \; the\; cylinder = \pi R^2 H........(4) \\\\Where R = Radius \; of \; the \; cylinder \\\\H \; is \; the \; Height \; of \; the\; cylinder\\[/tex]
From the given conditions of heights of cylinders and radius of the sphere.
We can write the the volume of the cylinders as follows
[tex]\rm Volume \; of \; first \; cylinder = \pi R_1 ^2H_1 = \pi R_1^2 (2R_1) = 2 \pi R_1^3[/tex]
[tex]\rm Volume \; of \; second\; cylinder = \pi R_2^2H_2 = \pi R_2^2 (2R_2) = 2 \pi R_2^3[/tex]
[tex]\rm Volume \; of \; third \; cylinder = \pi R_3 ^2H_3 = \pi R_3^2 (2R_3) = 2 \pi R_3^3[/tex]
For more information please refer to the link given below
https://brainly.com/question/12748872